b 5# /^2 towH Hmvmitg ptatg THE GIFT OF W- - .A^^W^ <>L sCTT^^^^ A. ujia 1 (&[a(lip3 4553 Cornell University Library VK563 .U58 1902 I + The azimuths of celestial bodies whose d 3 1924 030 899 177 olin Overs The date shows when this volume was [taken. All books not in use for instruction or re- search are limited to all borrowers. Volumes of periodi- cals and of pamphlets comprise so many sub- jects, that they are held in the library as much as possible. For spe- cial purposes they are given out for a limited time. Graduates and sen- iors are allowed five volumes for two weeks. Other students may have two vols, from the circulating library for two weeks. Books not needed during recess periods should be returned to the library, or arrange- ments made for their return during borrow- er's absence, if wanted. Books needed by more than one person are held on the reserve list. Books of special value and gift books, when the giver wishes it, are not allowed to circulate. The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924030899177 No. 120. \\S> H YDROGRAPHIC OFFICE. THE AZIMUTHS OF CELESTIAL BODIES WHOSE DECLINATIONS RANGE FROM 24° TO 70°, FOR PARALLELS OF LATITUDE EXTENDING TO TO FROM THE EQUATOR. PRBPAEKD BY G. W. LITTLEHALES, Hydrographie Engineer, WITH THE ASSISTANCE OP F. G. RADELFINGER, J. W. FROLEY, and C. C. ENNIS, Computers in the U. S. Hydrographie Office. WASHINGTON: GOVERNMENT PRINTING OFFICE. 1902. T 9 24 23 23 38 22 55 22 12 21 31 20 30 27 47 26 56 26 06 25 17 24 31 23 4° 23 02 22 19 21 37 20 56 20 16 19 38 30 40 25 12 24 24 23 39 22 54 22 II 21 29 20 48 20 09 19 31 18 53 18 16 17 41 40 50 22 29 21 45 21 03 20 22 19 43 19 05 18 28 17 53 17 17 16 44 16 11 ■ 15 40 50 11 00 19 36 1858 18 20 17 43 14 58 17 08 16 35 16 02 '5 31 15 00 14 31 14 02 13 34 11 OO 10 16 36 16 02 15 29 14 28 13 59 13 32 13 °4 12 38 12 13 II 48 11 24 10 20 13 26 1258 12 32 12 07 II 42 11 18 10 56 10 33 10 12 9 51 9 31 9 12 20 30 10 11 9 50 9 29 9 09 8 50 8 33 8 15 7 58 7 42 7 27 7 II 656 30 40 6 50 6 36 6 22 6 09 5 55 5 44 5 31 5 20 5 09 4 59 4 48 4 39 40 50 3 27 3 19 3 12 3 05 2 59 2 52 2 46 2 40 2 36 2 3° 2 25 2 19 50 12 00 00 00 00 00 00 00 00 00 -oo 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. AZIMUTH OR TRUE BEARING. LATITUDE 0°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 0°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 68° 59° Hour Angle. li. Ilia o / / r / / 1 / / / t / / li. in. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 30 40 50 10 2 15 2 10 2 06 2 01 1 57 I 53 1 49 1 45 1 41 1 37 1 33 1 31 20 4 29 6 42 4 20 6 28 4 11 6 15 4 03 3 54 3 45 3 38 3 3° 3 22 3 15 3 °7 3 00 30 6 02 5 49 5 37 5 25 5 14 5 02 4 51 4 4° 4 3C 40 8 53 8 35 8 18 8 01 7 43 7 27 7 12 6 56 6 41 6 26 6 11 5 58 50 11 01 10 40 10 18 9 57 9 36 9 15 85° 8 37 8 18 8 00 7 43 7 24 1 00 13 07 12 41 12 15 11 50 11 26 11 03 10 39 10 16 9 54 9 33 9 12 8 5° 1 00 10 20 30 40 50 lO 15 09 H 39 14 10 13 4i„ 13 13, 12 46 12 20 11 53 13 28 11 28 11 03 10 38 10 14 20 17 07 16 33 16 01 15 29 1458 14 28 13 57 13 00 12 31 12 04 11 35 30 19 00 18 24 1748 17 13 1854 16 40 16 05 15 33 15 °° 14 29 13 57 13 26 12 57 40 20 50 20 II 19 32 18 17 17 41 17 04 16 29 15 55 15 21 14 48 14 15 50 22 3+ 21 52 21 11 20 30 19 50 19 12 18 33 17 54 17 18 16 41 16 06 15 30 2 00 24- 15 23 29 22 46 22 03 21 20 20 39 19 59 19 17 18 38 17 59 17 21 16 44 2 OO IO 20 30 40 50 10 25 49 25 °2 24 17 23 31 22 47 22 03 ■ 21 20 20 37 19 55 19 14 18 33 17 54 20 27 19 26 30 25 42 24 55 24 09 23 23 22 38 21 53 21 09 20 25 19 43 19 01 30 28 43 27 53 27 04 26 14 25 27 24 39 23 52 23 °5 22 19 21 34 20 50 20 06 40 30 04 29 12 28 21 27 30 26 40 25 5i 25 °3 24 14 23 27 22 39 21 52 21 07 50 31 19 3° 25 29 33 28 41 27 50 26 59 26 09 25 19 24 3° 23 4i 22 53 22 06 3 OO 32 29 31 35 3° 41 29 47 28 56 28 03 27 12 '26 20 25 3° 24 39 23 50 23 02 3 OO IO lO 33 35 32 40 31 45 3° 51 29 57 •29 04 28 II 27 18 26 27 25 35 24 44 23 54 20 34 36 33 40 32 44 31 49 3° 54 30 00 29 06 28 12 27 19 26 26 25 34 24 43 20 30 30 35 32 34 36 33 40 32 43 31 48 30 52 29 58 29 03 28 09 27 15 28 01 26 22 25 3° 40 36 25 35 27 34 3° 33 33 32 37 31 4i 30 46 29 5° 28 56 27 06 26 12 40 50 50 37 '2 36 15 35 18 34 20 33 23 32 26 31 3° 30 34 29 38 28 43 27 47 26 52 4 00 37 57 3658 36 01 35 =2 34 °° 33 08 32 II 31 13 ' 3° 17 29 21 28 25 27 3° 4 00 10 38 37 37 38 36 40 35 41 34 44 33 46 32 48 31 51 3° 54 31 26 29 57 28 59 28 04 10 20 39 13 38 14 37 15 37 48 36 17 35 18 34 20 33 22 32 24 30 29 29 3i 28 35 20 30 39 45 38 4° 36 48 .35 50 34 51 33 53 32 54 31 55 3° 57 29 59 29 03 30 40 40 14 39 '4 38 15 37 16 36 18 35 18 34 20 33 20 32 22 31 23 30 25 29 28 40 50 40 39 39 39 38 41 37 41 36 42 35 42 34 44 33 44 32 45 31 47 30 47 29 49 50 5 00 41 01 40 01 39 02 38 °2 37 03 36 03 35 04 34 04 33 °5 32 06 31 °6 30 08 5 00 10 41 19 40 20 39 20 38 20 37 21 36 21 35 22 34 21 33 21 32 22 31 23 30 24 10 20 4 1 34 40 34 39 34 38 34 37 35 36 35 35 35 34 35 33 35 32 35 31 36 3° 37 20 30 41 45 40 46 39 46 38.46 37 4° 36 46 35 47 34 4° 33 4° 32 46 31 46 30 48 30 40 41 53 40 54 39 54 38 53 37 54 3 5 5 3 35 54 34 54 33 54 32 54 31 54 30 55 40 50 41 58 40 58 39 59 38 59 37 59 3658 35 59 34 59 33 58 32 58 31 58 30 59 50 6 OO 42 00 41 00 40 00 39 °° 38 00 37 °o 36 00 35 oo' 34 °o 33 00 32 00 31 00 6 00 lO 41 58 40 58 39 59 38 59 37 59 3658 35 59 34 59 33 58 32 58 31 58 3° 59 10 20 41 53 40 54 39 54 38 53 37 54 36 54 35 54 34 54 33 54 32 54 31 54 30 55 20 30 41 45 40 46 39 46 3846 37 46 36 46 35 47' 34 4° 33 4° 32 46 31 46 30 48 30 40 4t 34 40 34 39 34 38 34 37 35 3° 35 35 35 34 35 33 35 32 35 31 3° 3° 37 40 SO 41 19 40 20 39 20 38 20 37 21 36 21 35 22 34 21 33 21 32 22 31 23 30 24 50 7 OO 41 01 40 01 39 02 38 02 37 03 36 03 35 04 34 °4 33 05 32 06 31 06 30 08 7 00 lO 40 39 39 39 3841 37 41 36 42 35 42 34 44 33 44 32 45 31 47 3° 47 29 49 IO 20 40 14 39 14 38 15 37 16 36 18 35 18 34 20 33 20 32 22 31 23 3° 25 29 28 20 30 39 45 3846 37 48 3648 35 5° 34 51 33 53 32 54 31 55 30 57 29 59 29 °3 30 40 39 ! 3 38 14 37 15 36 17 35 18 34 20 33 22 32 24 31 26 30 29 29 31 28 35 40 50 38 37 37 38 36 40 35 4i 34 44 33 46 32 48 31 51 3° 54 29 57 2859 28 04 50 8 00 37 57 3658 36 01 35 °2 34 °° 33 °8 32 11 31 13 3° 17 29 21 28 25 27 30 8 OO 10 37 « 36 15 35 18 34 20 33 23 32 26 31 30 3° 34 29 38 28 43 27 47 26 52 10 20 36 25 35 27 34 30 33 33 32 37 31 41 30 46 29 5° 2856 28 01 27 06 26 12 20 30 35 32 34 36 33 40 32 43 31 48 30 52 29 58 29 03 28 09 27 15 26 22 25 30 30 40 34 36 33 40 32 44 31 49 3° 54 30 00 29 06 28 12 27 19 26 26 25 34 24 43 40 50 33 35 32 40 31 45 30 51 29 57 29 04 28 11 27 18 26 27 25 35 24 44 23 54 50 9 00 32 29 31 35 30 41 29 47 28 56 28 03 27 12 26 20 25 3° 24 39 23 50 23 02 9 00 lO 31 19 30 25 29 33 28 41 27 50 26 59 26 09 25 19 24 3° 23 41 22 53 22 06 IO 20 30 04 29 12 28 21 27 30 26 40 25 51 25 °3 24 14 23 27 22 39 21 52 21 07 20 30 28 43 27 53 27 04 26 14 25 27 24 39 23 52 23 05 22 19 21 34 20 50 20 06 30 40 ' 27 19 26 30 25 42 24 55 24 °9 23 33 22 38 21 53 21 09 20 25 19 43 19 01 40 50 25 49 25 02 24 17 23 3i 22 41 22 03 21 20 20 37 19 55 19 14 i*33 17 54 50 lO 00 24 15 23 29 22 46 22 03 21 20 20 39 19 59 19 17 18 38 17 59 17 21 16 44 10 00 10 22 34 21 52 21 II 20 30 19 50 19 12 18 33 17 54 ■ 17 18 16 41 16 06 15 30 IO 20 20 50 20 II 19 32 18 54 18 17 17 41 17 04 16 29 15 55 15 31 14 48 14 15. 20 30 19 00 18 24 17 48 17 13 16 40 16 05 15 33 15 °° 14 29 13 57 13 26 12 57 30 40 17 07 16 33 16 OI 15 29 14 58 14 28 13 57 13 28 13 °o 12 31 12 04 " 35 40 so 15 °9 14 39 14 10 13 4i 13 13 12 46 12 20 ' " 53 11 28 11 03 10 38 10 14 50 11 00 13 07 12 41 12 15 11 50 II 26 II 03 10 39 10 16 9 54 9 33 9 12 8 50 11 00 10 II 01 10 40 IO IS 9 57 9 36 9 15 8 56 8 37 8 18 8 00 7 43 7.24 IO 20 853 8 35 8 18 8 01 7 43 7 2,7- 7 12 6 56 6 41 6 26 6 11 5 58 20 30 6 42 6 28 615 6 02 5 49 5 37 5 25 5 14 5 °2 4 51 4 40 4 30 30 40 4 29 4 20 4 " 4 03 3 54 3 45 3 38 3 3° 3 22 3 15 '3 07 3 00 40 50 2 15 2 10 2 06 2 01 1 57 1 53 1 49 1 45 1 41 1 37 1 33 1 31 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing, AZIMUTH OR TRUE BEARING. latitude; o°. DECUNATION— SAME NAME AS— LATITUDE. LATITUDE 0°. Hour Angle. 60° 61° 62° 63° 64° «5° 66° 67° 68° 69° 70° Hour Angle. H. in. o / / ' r t / / ' / t ' b. 111. O OO OO 00 00 00 00 00 00 00 00 00 00 O OO 10 20 30 40 50 lO I 27 1 23 1 20 1 16. 1 13 1 10 1 06 1 03 1 00 57 ° 54 20 2 52 2 46 2 39 2 °3 2 26 2 19 2 14 2 07 2 01 1 55 1 49 30 4 19 4 08 3 59 3 48 3 38 3 29 3 20 3 10 3 01 252 2 43 40 5 43 5 3° 5 16 5 04 4 50 4 38 4 25 4 13 4 00 3 49 3 37 50 7 07 6 50 6 34 6 18 6 01 1 5 46 5 30 5 15 4 59 4 45 4 30 1 00 8 30 8 10 7 51 7 3° 7 12 ° 53 6 35 6 16 5 59 5 41 5 23 1 OO 10 20 30 40 50 10 9 5i 9 28 9 05 10 18 8 43 8 20 7 59 7 38 7 16 °55 6 35 6 15 20 11 10 10 44 9 53 9 28 9 03 8 39 S 16 7 52 7 28 7 06 30 12 28 " 59 11 3° 11 02 1° 35 10 07 9 4° 9 14 8 47 8 22 7 56 40 13 42 13 10 12 40 12 10 " 39 11 09 10 39 10 10 9 42 9 13 8 45 50 14 55 14 21 13 48 13 14 12 41 12 09 11 37 11 05 10 34 10 03 9 33, 2 00 16 06 15 30 14 53 14 17 13 43 13 °8 12 33 11 58 11 25 10 52 10 20 2 00 10 20 30 40 50 10 17 14 1° 34 15 57 15 18 14 41 14 04 13 27 12 51 12 15 11 39 11 04 20 18 19 17 38 16 57 16 18 15 37 14 59 14 20 13 41 13 °3 12 25 11 48 30 19 22 18 38 17 5° 17 14 16 32 15 5i 15 10 14 29 13 49 13 °9 12 30 40 20 22 19 37 1853 18 09 17 24 16 41 15 58 15 15 14 33 13 52 13 10 50 21 18 20 32 19 46 19 00 18 15 17 29 16 45 16 00 15 16 14 32 13 49 3 00 22 12 21 24 20 37 19 49 19 01 18 15 17 29 16 42 15 56 15 12 14 26 3 OO 10 20 30 10 23 04 22 14 21 25 20 36 19 46 18 58 18 10 17 23 16 35 15 48 15 ° 2 20 23 5i 23 00 22 10 21 19 20 29 19 39 18 50 18 01 17 11 16 24 15 35 30 24 36 23 44 22 53 22 01 21 09 20 18 19 28 18 36 17 46 16 57 16 07 40 25 18 24 25 23 33 22 39 21 47 20 54 20 02 19 10 18 19 17 28 16 36 40 50 50 25 57' . 25 03 24 09 23 15 22 22 21 28 2° 35 19 4i 18 48 17 56 17 °4 4 OO 26 34 25 38 24 44 23 49 22 54 21 59 21 05 20 11 19 17 18 24 17 29 4 00 10 10 27 06 26 11 25 15 24 19 23 24 22 29 21 33 20 38 19 43 18 49 17 54 20 27 36 26 40 25 44 24 47 23 51 22 55 21 58 21 02 20 07 19 11 18 16 20 30 30 28 04 27 07 26 11 25 13 24 15 23 18 22 22 21 24 20 28 19 32 18 36 40 28 28 27 3° 26 33 25 35 24 37 23 4° 22 42 21 45 20 47 19 50 18 53 40 50 « 50 28 50 27 51 26 54 25 55 24 57 2 3 59 23 00 22 02 21 05 20 07 19 °9 5 00 • 29 08 28 09 27 12 26 12 25 14 24 15 23 17 22 17 21 19 20 21 19 22 5 00 10 29 24 28 25 27 27 26 27 . 25 28 24 29 23 29 22 30 21 31 20 33 19 34 10 20 29 37 28 38 27 39 26 39 25 39 24 40 23 41 22 41 21 41 20 43 19 43 20 30 29 47 28 48 27 48 26 48 25 49 24 48 23 4? 22 49 21 50 20 50 19 51 30 40 29 54 28 54 27 55 2 £ 5 § 2658 25 55 24 55 23 56 22 56 21 56 20 56 19 56 40 50 29 58 2858 27 59 25 59 24 58 23 59 22 59 21 59 20 59 19.59 50 6 00 30 00 29 00 28 00 27 00 26 00 25 00 24 00 23 00 22 00 21 00 20 00 6 OO lO 29 58 28 58 27 59 26 58 25 59 2458 23 59 22 59 21 59 20 59 19 59 lO 20 29 54 28 54 27 55 2 f 5 i 25 55 24 55 23 5° 22 56 21 56 20.56 19 56 20 30 30 29 47 28 48 27 48 . 26 48 25 49 24 48 23 49 22 49 21 50 20 50 19 51 40 29 37 28 38 27 39 26 39 25 39 24 40 23 41 22 41 21 41 20 43 19 43 40 50 29 24 28 25 27 27 26 27 '25 28 24 29 23 29 22 30 21 31 2° 33 19 34 50 7 OO 29 08 28 09 27 12 26 12 25 14 24 15 23 17 22 17 21 19 20 21 19 22 7 OO 10 28 50 27 51 26 54 25 55 24 57 23 59 23 00 22 02 21 05 20 07 19 09 lO 20 28 28 27 30 26 33 25 35 24 37 23 4° 22 42 21 45 20 47 I9 50 18 53 20 30 28 04 27 07 26 II 25 13 24 15 23 18 22 22 21 24 20 28 19 32 18 36 30 40 27 36 26 40 25 44 24 47 23 51 22 55 21 58 21 02 20 07 19 11 18 16 40 50 27 06 26 11 25 15 24 19 23 24 22 29 21 33 20 38 19 43 18 49 17 54 50 8 00 26 34 25 38 24 44' 23 49 22 54 21 59 21 05 20 II J g J 2 18 24 17 29 8 00 10 25 57 25 03 24 09 23 15 22 22 21 28 20 35 19 41 18 48 17 5°. 17 04 lO 20 25 18 24 25 23 33 22 39 21 47 20 54- 20 02 19 10 l8 36 18 19 17 28 16 36 20 30 24 36 23 44 22 53 22 01 21 09 20 18 19 28 17 46 16 57 16 07 30 40 23 5 1 23 00 22 10 21 19 20 29 19 39 18 50 l8 OI 17 II 16 24 15 35 40 50 23 04 22 14 21 25 20 36 19 46 1858 18-10 17 23 16 35 1548 15 °2 50 9 00 22 12 21 24 20 37 19 49 19 01 18 J5 17 29 16 42 15 56 15 12 14 26 9 OO 10 21 18 20 32 19 46 19 00 18 15 17 29 16 45 l6 OO 15 16 14 32 13 49 lO 20 20 22 19 37 18 53 18 09 17 24 16 41 15 58 15 15 14 33 13 52 13 i° 20 30 19 22 1838 17 56 17 14 16 32 15 51 15 10 14 ?9 13 49 13 09 12 30 30 40 18 19 17 38 16 57 16 18 15 37 14 59 14 20 13 41 13 03 12 25 11 48 40 50 17 14 16 34 15 57 15 18 14 41 14 °4 13 27 12 51 12 15 11 39 11 04 50 10 OO 16 06 15 30 14 53 14 17 13 43 13 °8 12 33 II 58 11 25 10 52 10 20 10 00 10 14 55 14 21 13 48 13 14 12 41 12 09 11 37 II 05 1° 34 10 03 9 33 10 20 13 42 13 10 12 40 12 10 11 39 11 09 10 39 10 10 9 42 9 13 8 45 20 30 12 28 n 59 11 3° 11 02 10 35 10 07 9 4° 9 14 8 47 8 22 7 5° 30 40 11 10 10 44 10 18 9 53 9 28 9 °3 8 39 8 16 7 52 7 28 7 06 40 50 9 51 9 28 9 05 8 43 8 20 7 59 7 38 7 16 °55 6 35 6 15 50 11 00 8 30 8 10 7 51 7 30 7 12 6 53 6 35 6 16 5 59 5 41 5 23 11 OO 10 7 °7 6 50 6 34 6 18 6 01 5 46 5 3° 5 15 4 59 4 45 4 30 lO 20 5 43 5 30 5 16 5 04 4 50 4 38 4 25 4 13 4 00 3 49 3' 37 20 30 4 19 4 08 3 59 3 48 3 38 3 29 3 20 3 10 3 01 2 52 2 43 30 40 2 52 2 46 2 39 2 33 2 26 2 19 2 14 2 07 2 01' 1 55 1 49 40 50 1 27 1 23 1 20 1 16 I 13 I 10 I 06 1 03 1 00 57 54 50 12 00 00" 00 00 00 b 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. AZIMUTH OR TRUE BEARING. latitude: i \ DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 1°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. a. ni. o / ( / 1 / / / / 1 / / / ll. Ml. o 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 5 49 5 33 5 18 5 04 4 51 4 39 4 27 4 17 4 07 3 57 3 47 3 39 IO 20 II 31 i?59 10 30 10 03 9 37 9 13 851 8 29 8 10. 7 51 7 33 7 17 20 30 16 58 16 12 15 30 14 5i 14 14 13 40 13 07 12 37 12 08 11 40 11 14 1049 30 40 22.06 21 09 20 16 19 26 18 40 17 55 17 14 16 34 15 57 15 22 14 48 14 16 40 50 26 49 25 43 24 42 23 44 22 49 21 57 21 07 20 21 19 36 18 54 18 14 17 35 50 1 00 31 08 29 56 28 48 27 43 26 42 25 42 .24 47 23 54 23 04 22 15 21 29 20 45 1 00 10 35 03 33 46 32 34 35 58 31 24 30 17 29 13 28 12 27 14 26 18 25 25 28 23 24 34 23 45 10 20 38 34 37 15 34 45 33 34 32 2b 31 23 30 20 29 21 • 27 28 26 34 20 30 41 44 40 22 39 04 37 48 36 35 35 25 34 17 33 12 32 10 31 09 ". 30 II 29 14 30 40 44 33 43 " 41 51 40 34 39 20 3808 . 3658 35 5i 34 46 33 43 32 41 31 42 40 50 47 03 45.41 44 21 43 04 41 49 40 36 '39 25 38 16 37 I" 3605 35 °2 34 00 50 2 00 49 18 47 56 46 37 45 20 44 04 42 51 41 39 40 30 39 21 38 15 37 11 36 08 2 00 10 51 18 49 57 48 39 47 22 46 06 44 52 43 41 42 31 41 22 40 15 39 10 38 06 10 20 53 05 51 45 50 28 49 11 47 57 46 44 45 32 44 22 43 12 42 05 40 59 39 55 20 30 54 41 56 06 53 23 52 07 50 51 49 37 48 25 47 13 46 03 44 54 43 46 42 40 41 34 30 40 54 50 53 35 52 20 51 °7 49 55 48 45 47 34 46 26 45 19 44 12 43 06 40 50 57 23 56 08 54 54 53 4i 52 29 51 18 50 07 4858 47 50 46 42 45 36 44 3° 50 3 00 58 31 57 18 5606 54 54 53 42 52 32 51 23 50 14 49 06 47 59 46 53 45 48 3 00 10 59 33 58 21 57 10 58 07 55 59 54 49 53 39 52 30 51 23 50 16 49 I" 48 04 4658 10 20 '60 28 59 18 5658 55 48 5+ 40 53 32 52 25 51 18 50 13 49 °7 48 02 20 30 61 17 60 08 5858 57 50 56 42 55 34 54 28 53 22 52 16 51 10 50 05 49 01 30 40 62 01 60 53 59 45 5838 57 31 56 24 55 18 54 12 53 07 52 02 5058 49 53 40 50 62 40 61 33 60 27 59 21 58 13 57 08 56 02 54 57 53 53 52 49 51 45 5041 50 4 00 63 15 62 09 61 03 59 58 58 53 57 48 56 43 55 39 54 35 53 30 52 27 51 24 4 00 10 63 46 62 41 61 37 60 32 59 27 58 22 57 18 56 15 55 12 54 08 53 05 52 02 IO 20 64 13 63 09 62 04 61. 01 59 57 58 53 57 5i 56 47 55 44 54 42 53 39 52 37 20 30 64 36 63 33 62 30 61 27 60 23 59 21 58 18 57 15 56 13 55 11 54 09 53,o7 SO 40 64 57 63 54 62 52 61 49 60 47 59 44 58 42 57 40 5638 55 37 54 35 53 33 40 50 65 14 64 12 63 10 62 08 61 07 60 04 59 02 58 01 56 59 55 58 54 57 53 55 50 5 00 65 29 ' 64 27 5 3 2 § 6338 62 24 61 22 60 21 59 20 58 19 57 17 56 17 55 15 54 14 5 OO io 65 40 64 39 62 37 61 36 60 35 59 34 58 33 57 33 56 32 55 31 54 31 IO 20 65 49 64 49 6348 62 47 61 47 60 46 59 46 58 44 57 44 56 44 55 43 54 43 20 30 65 55 64 55 63 55 62 55 61 54 60 54 59 53 58 53 57 52 56 52 55 52 54 52 30 40 66 00 64 59 63 59 62 59 61 58 60 59 59 58 58 59 57 58 5658 55 58 54 57 40 50 66 01 65 01 64 01 63 01 62 01 61 01 60 01 59 00 58 01 57 01 56 00 55 01 50 6 OO 66 00 65 00 64 00 63 00 62 00 61 00 60 00 59 0° 58 57 58 00 57 °° 56 00 55 °° 6 OO IO 6556 64 56 6356 62 56 61 57 60 57 59 57 57 57 56 57 55 57 54 57 IO 20 65 5' 64 51 63 51 62 50 61 50 60 50 59 50 5850 57 50 56 5° 55 50 54 51 20 30 65 43 64 42 63 42 62 41 61 41 60 42 59 42 58 42 57 42 56 41 55 41 54 41 30 40 65 32 64 31 63 31 62 30 61 30 60 30 59 29 58 29 57 29 56 28 55 28 54 28 40 50 65 18 64 18 63 17 62 16 61 16 60 15 59 14 58 14 57 13 56 14 55 12 54 12 50 7 00 65 03 64 01 63 00 61 59 60 58 59 57 5856 57* 56 56 55 55 55 54 54 53 54 7 00 IO 64 43 63 41 62 40 61 38 60 37 59 36 58 35 57 34 56 33 55 32 54 32 53 31 IO 20 64 22 63 19 62 17 61 15 60 13 59 12 58 10 57 09 56 07 55 06 54 05 53 05 20 30 63 57 62 53 61 51 60 49 59 46 58 44 57 42 5641 55 39 54 37 53 36 52 36 30 40 63 28 62 24 61 22 60 18 59 15 58 13 57 1° 56 08 55 06 54 05 53 02 52 01 40 50 6256 61 52 60 48 59 44 58 40 57 37 56 34 55 32 54 30 53 28 52 25 5i 24 50 8 OO 62 21 61 16 60 11 59 06 58 02 5658 55 55 54 52 53 49 52 46 51 44 50 42 8 OO 10 61 40 60 34 59 29 58 24 57 19 56 14 55 11 54 07 53 04 52 oi 5058 49 56 IO 20 60 57 59 50 58 43 57 37 56 32 55 26 54 22 53 17 52 14 51 10 50 07 49 °4 20 30 60 08 59 00 57 52 56 45 55 39 54 33 ' 53 28 52 23 51 18 50 15 49 12 48 09 30 40 59 14 58 04 5656 55 48 54 4i 53 34 52 28 51 23 5° 19 49 14 48 11 47 08 40 50 58 13 57 02 55 52 54 44 53 37 52 30 51 23 50 17 49 11 48 07 47 °3 46 01 50 9 00 57 06 55 55 54 44 53 34 52 26 51 18 50 10 49 °4 47 59 46 54 45 50 44 47 9 OO IO 55 52 54 39 53 28 52 17 51 08 49 59 4852 4 I 4 I 40 40 45 34 44 31 43 27 IO 20 54 30 53 16 52 04 50 52 49 43 4 ? 33 , 47 25 46 18 45 12 44 08 43 04 42 01 20 30 52 59 51 44 5° 31 49 19 48 08 4658 45 51 44 44 43 38 , 42 33 41 3° 40 28 30 40 51 18 50 02 48 48 46 36 46 24 45 15 44 07 43 00 4i 55 40 50 39 47 3846 40 50 49 27 48 09 46 55 45 42 44 3i 43 21 42 13 4i 07 39 °2 38 59 37 56 36 56 50 10 OO 47 22 46 06 44 51 43 38 42 27 41 18 40 10 39 04 38 01 3658 35 57 34 57 IO OO 10 45 04 43 47 42 33 41 20 40 09 39 °2 37 55 36 51 35 48 34 47 33 48 32 50 10 20 42 31 41 14 40 00 38 49 37 40 36 33 35 28 34 24 33 25 32 26 31 29 3° 33 20 30 39 4i 38 26 37 14 36 04 34 56 33 52 32 49 31 49 30 51 29 54 29 00 28 07 30 40 3° 32 35 20 34 09 33 03 31 58 3° 56 29 57 29 00 28 05 27 11 26 21 25 31 40 50 33 °4 31 55 30 48 29 45 28 44 27 46 26 52 25 58 25 07 24 18 23 32 22 45 50 11 00 29 16 28 10 27 09 26 11 25 16 24 23 23 32 22 44 21 58 21 14 20 '31 19 51 11 OO 10 25 06 24 08 23 13 22 21 21 31 20 45 20 00 19 19 18 38 18 00 17 23 16 47 IO 20 20 36 19 46 18 59 18 15 17 34 16 54 16 17 15 42 15 °8 14 36 14 05 13 37 20 30 15 46 15 06 14 30 13 55 13 23 12 52 12 22 11 55 11 29 II 05 10 40 10 19 30 40 10 40 10 13 948 9 23 9 01 8 40 8 20 8 01 7 44 7 27 7 11 6 56 40 50 5 24 5 09 4 56 4 43 4 33 4 22 4 12 4 02 3 53 3 44 3 37 3 29 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 10 AZIMUTH OR TRUE BEARING. LATITUDE 1 3 # DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 1°. Hour Angle.' 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / / / / / ' / / / / li. in- 00 lO 20 30 40 50 00 00 00 00 00 00 00 00 00 00 00 00 00 10 3 3i 3 23 3 17 3 09 3 02 256 2 50 2 44 2 38 2 32 2 28 2 22 20 7 00 6 46 6 30 6 17 6 03 5 51 5 38 5 2 7 5 15 5 04 4 53 4 44 30 10 26 10 03 9 42 9 22 9 01 8 43 825 8 08 7 50 7 34 7 19 7 °3 40 13 4° 13 16 12 48 12 22 11 5° 11 31 11 07 10 45 10 22 10 01 9 41 9 2 k II 3 6 50 16 58 16 23 15 49 15 17 14 45 H 15 13 47 13 18 12 51 12 25 12 00 1 OO 20 03 19 21 18 42 18 04 17 28 16 54 16 20 15 48 15 15 14 44 14 16 13 46 1 OO 10 20 30 40 50 lO 22 58 22 12 21 28 20 47 20 06 19 25 18 48 18 11 17 35 17 00 16 27 15 54 20 25 44 24 54 2405 23 20 22 34 21 51 21 09 20 28 19 49 19 10 18 33 17 57 18 55 21 48 23 3| 30 28 19 27 26 25 35 25 45 28 02 24 56 24 10 23 24 22 40 21 57 21 15 20 35 40 30 45 29 49 28 54 27 11 26 21 25 32 24 46 23 59 23 15 25 08 22 31 50 33 °i 32 02 31 06 30 10 29 16 28 24 27 34 26 44 25 55 24 21 2 00 35 06 34 07 33 08 32 11 31 16 30 21 29 28 28 36 27 45 2 o 5 I 26 07 25 1? 26 56 28 28' 2 OO 10 20 30 40 50 10 37 04 36 02 35 02 34 °4 33 0° 32 09 31 15 30 21 29 28 28 36 27 46 20 38 51 37 48 36 47 35 48 34 49 33 52 3255 31 59 31 °5 30 12 29 20 30 40 3° 39 27 38 25 37. 25 36 26 35 26 34 29 33 33 32 36 31 42 30 48 29 54 31 16 40 42 03 4° 59 39 56 38 55 37 54 36 55 35 57 34 58 34 01 33 "5 32 10 50 43 27 42 22 41 19 40 18 39 17 38 16 37 17 36 19 35 21 34 24 33 27 32 31 3 00 44 43 43 4° 42 36 41 34 40 32 39 31 38 32 37 33 36 34 35 3° 34 39 33 43 3 00 10 20 30 40 50 10 45 54 44 5° 43 47 42 44 41 43 40 41 39 42 3842 37 43 36 44 35 46 34 49 20 46 58 45 55 44 51 43 48 42 47 41 46 40 46 39 45 3846 37 46 36 48 35 49 36 46 37 38 3826 30 47 57 46 53 45 5° 44 48 43 46 42 45 41 44 4° 43 39 43 38 44 37 45 40 48 50 47 47 46 44 45 42 44 39 43 38 42 37 41 37 40 36 39 37 38 37 39 26 50 49 38 48 35 47 32 46 30 45 29 44 27 43 26 42 25 41 25 40 25 4 OO 50 22 49 l8 48 16 47 14 4° 13 45 11 44 10 43 10 42 09 41 09 40 08 39 °9 39 48 4 OO lO 20 30 40 50 10 51 00 49 58 48 56 47 54 46 53 45 51 44 50 43 5° 42 49 41 48 40 48 20 5 1 35 5° 33 49 31 48 29 47 28 46 27 45 26 44 26 43 24 42 24 41 24 40 24 30 52 05 51 °3 50 02 48 59 47 59 4658 45 58 44 57 43 5° 42 55 41 56 4° 55 40 5 2 3i 51 3° 50 28 49 27 48 26 47 26 46 25 45 24 44 24 43 24 42 23 41 24 50 52 54 51 53 50 52 49 52 48 51 47 5° 46 50 45 48 44 48 43 48 42 47 41 47 5 OO 53 '4 52 13 51 12 50 11 49 I" 48 10 47 09 46 09 45 °9 44 09 43 08 42 08 5 OO 10 • 53 3° 52 29 51 29 5° 28 49 27 48 27 47 27 46 26 45 26 44 26 43 26 43 38 42 25 42 38 lO 20 30 40 50 20 53 42 52 42 51 41 50 41 49 4° 48 40 47 39 46 40 45 40 44 39 30 53 52 52 5 1 5 1 5 1 5° 5i 49 5° 4851 47 5" 46 50 45 5° 44 49 43 49 42 49 42 5° 40 53 58 52 57 51 57 5058 49 57 48 57 47 5° 4° 57 45 57 44 56 43 56 50 54 00 53 0I 52 00 51 00 50 00 49 °° 48 00 47 00 46 00 45 °° 44 00 42 59 6 00 54 01 53 °° 52 01 51 01 50 00 49 0I 48 01 47 0° 46 01 45 00 44 00 43 0° 6 OO lO 53 57 52 57 51 57 50 57 49 57 48 58 47 57 46 57 45 57 44 57 43 58 42 57 10 20 30 20 53 5 1 52 51 51 5° 50 5i 49 51 48 50 47 51 4° 51 45 5i 44 51 43 51 42 51 30 53 4i 52 41 5i 4i 5° 4i 49 41 48 41 47 41 46 42 45 42 44 41 43 42 42 42 40 53 28 52 '28 51 29 50 28 49 28 48 29 47 28 46 29 45 28 44 29 43 29 42 29 40 50 53 12 52 12 51 12 50 12 49 I2 48 12 47 12 46 12 45 12 44 13 43 13 42 13 50 7 00 52 5 2 51 53 50 53 49 53 48 52 47 53 46 52 45 53 44 53 43 53 42 54 41 54 7 00 lO 20 30 40 50 lO 52 31 51 3° 50 29 49 29 48 29 47 29 46 29 45 30 44 30 43 30 42 30 41 30 20 52 04 51 °4 5° 03 49 03 48 02 47 03 46 02 45 03 44 03 43 03 42 04 41 °5 30 51 34 5° 34 49 32 48 32 47 31 46 32 45 32 44 32 43 32 42 33 41 33 40 34 40 5° 59 49 59 4» 59 47 58 4658 45 58 44 58 43 58 42 59 41 59 41 00 40 00 50 50 23 49 21 48 20 47 20 46 19 45 19 44 19 43 20 42 21 41 20 40 22 39 23 8 00 49 41 48 39 47 38 46 37 45 36 44 37 43 37 42 37 41 38 40 39 39 40 38 41 8 OO 10 48 54 47 52 46 51 45 50 44 5" 43 50 42 50 41 51 40 52 39 53 38 55 37 57 lO 20 48 03 47 0I 46 00 45 °° 43 58 42 59 41 59 41 00 40 02 39 "3 38 05 37 08 20 30 47 07 46 04 45 °3 44 02 43 02 42 02 41 03 40 05 39 °7 38 08 37 10 3° 13 35 1° 30 40 46 05 45 °3 44 02 43 01 42 01 41 02 40 03 39 °4 38 07 37 °9 36 12 40 50 44 57 43 56 42 55 41 55 40 55 39 56 38 57 37 59 37 02 36 °5 35 °9 34.13 50 » 00 43 44 42 43 41 43 40 42 39 42 38 44 37 46 3° 49 35 52 34 56 34 01 33 °S 9 00 10 42 25 41 24 40 23 39 24 38 25 37 28 36 29 35 33 34 38 33 42 32 48 31 54 10 20 40 59 ' 39 59 38 59 38 00 37 °2 36 04 35 08 34 13 33 18 32 23 31 31 3" 38 20 30 39 2 5 38 26 37 27 36 29 35 31 34 3° 33 4° 32 46 31 52 30 59 30 07 29 16 30 40 37 44 36 46 35 47 34 51 33 54 33 00 32 06 31 13 30 21 29 29 28 39 27 49 40 50 35 56 34 59 34 02 33 °° 32 11 31 18 3° 25 29 34 28 44 27 54 27 06 26 19 50 10 00 34 °° 33 93 32 08 31 H 30 21 29 30 28 38 27 49 27 01 26 14 25 27 24 42 10 00 10 31 54 3° 59 30 °5 29 H 28 23 26 18 27 34 26 45 25 59 25 12 24 27 23 43 23 00 10 20 29 40 28 47 27 56 27 07 25 30 24 4° 24 01 23 18 22 36 21 54 21 14 20 30 27 15 26 27 25 39 24 52 24 07 23 23 22 40 21 58 21 18 20 38 20 00 19 22 30 40 24 43 23 57 23 '3 22 29 21 47 21 07 20 27 19 49 19 12 18 36 18 01 17 26 40 50 22 02 21 20 20 39 20 00 19 22 18 45 18 09 17 35 17 01 16 29 15 57 15 26 SO 11 OO 19 12 18 34 17 58 17 23 16 50 16 17 15 46 15 15 14 46 14 17 13 49 13 23 11 OO 10 16 14 15 42 15 10 14 41 14 II 13 44 13 16 12 51 12 26 12 01 n 37 11 14 10 20 13 °9 9 58 12 42 12 17 II 52 II 28 II 05 10 4§ 10 22 ' 10 02 9 42 9 23 9 °3 20 SO 9 36 9 17 8 58 8 40 8 22 8 06 7 50 7 34 7 19 7 °4 6 50 30 40 6 41 6 27 6 13 6 01 5 49 5 37 5 25 5 15 5 04 4 54 - 44* 4 35 40 50 3 21 3 14 308 3 "I 2 55 2 5° 2 44 2 38 2 32 2 27 2 23 2 18 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 11 AZIMUTH OR TRUE BEARING. LATITUDE 1 °. DECLINATION— SAME NAMB AS— LATITUDE. IiATITlTDE 1°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. b. in. O I 1 / / / / / / 1 r, 1 ' / r h. in. oo 00 00 00 00 00 00 00 00 00 00 00 00 00 IO 2 17 2 12 2 07 2 03 1 59 1 54 1 5° 1 46 1 43 1 39 1 35 I 31 10 20 4 33 4 24 4 15 4 06 3 57 3 48 3 41 3 32 3 24 3 17 3 °9 3 02 20 30 6 48 6 35 6 20 6 07 5 54 5 41 5 29 5 17 5 0° 4 54 4 43 4 32 30 40 9 oi 9 43 825 8 08 7 50 7 33 7 17 7 01 6 45 6 30 6 16 j6 01 40 50 II 12 10 49 10 27 10 05 9 44 9 23 9 03 8 43 8 24 8^5 7 47 7 29 50 1 00 13 19 12 52 12 25 12 00 H 35 11 11 10 47 10 24 10 01 9 39 9 17 856 1 00 IO 15 22 14 52 14 21 13 53 13 24 12 55 12 29 12 02 11 36 11 10 10 45 10 20 10 20 17 21 16 47 16 14 15 42 15 °9 14 38 16 17 14 09 13 38 13 °8 12 3? 12 12 11 44 20 30 19 17 1839 18 02 17 26 16 51 15 43 15 1° 14 37 14 06 13 35 13 °5 30 40 21 07 20 27 19 47 19 08 18 30 17 53 17 15 16 40 16 05 15 30 14 5° 14 23 40 50 22 52 22 09 21 26 20 45 20 04 19 24 18 44 18 06 17 28 16 51 16 15 15 38 SO 2 OO 24 32 23 47 23 02 22 18 21 34 20 53 20 11 19 30 18 49 18 10 17 31 16 52 2 00 10 26 08 25 19 24 33 23 47 23 01 22 17 21 32 20 49 20 06 19 24 1844 18 02 IO 20 27 37 26 47 25 59 25 11 24 22 23 3° 22 51 22 05 21 20 20 37 19 53 19 10 20 30 29 02 28 11 27 21 26 31 25 41 24 53 24 °5 23 18 22 31 21 45 21 00 20 15 30 40 30 22 29 30 28 37 27 4° 25 55 26 05 25 15 24 27 23 38 22 50 22 03 21 17 40 50 31 37 30 43 29 49. 2857 28 04 27 13 26 21 25 3i ' 24 41 23 52 23 °4 22 15 50 3 OO 32 47 31 51 30 57 30 03 29 10 28 18 27 24 26 32 25 4i 24 5° 24 00 23 11 3 OO 10 33 52 32 5° 32 00 31 05 30 11 29 17 28 24 27 31 26 38 25 46 24 54 24 °3 10 20 34 53 33 5° 32 59 32 03 31 °8 3° 13 29 18 28 24 27 30 26 37 25 44 24 51 20 30 35 49 34 51 33 54 32 57 32 01 31 °5 30 09 29 14 28 19 27 26 26 31 25 38 30 40 36 40 35 42 34 44 33 47 32 5° 31 53 3° 57 30 01 29 °5 28 10 27 15 26 20 40 50 37 27 36 29 35 3° 34 33 33 35 3238 31 4i 3° 45 . 29 47 28 52 27 5° 27 00 50 4 OO 38 10 37 " 36 12 35 15 34 16 33 19 32 21 31 24 30 27 29 3° 28 34 27 37 4 00 10 38 49 37 50 3° 51 35 53 34 54 33 56 3258 32 00 31 02 30 04 29 °7 28 10 10 . 20 39 25 38 , 2 f 37 26 36 28 35 28 34 30 33 3° 32 33 31 34 3° 3° 29 38 28 40 20 30 39 55 3856 37 5° 3° 58 .35 58 34 59 34 01 33 °l 32 03 31 04 30 07 29 08 30 40 40 23 39 24 38 24 37 25 3° 25 35 26 34 26 33 28 32 28 31 29 3° 3i 29 32 40 50 40 48 39 48 3848 37 49 3° 49 35 49 34 5° 33 5° 32 5° 31 51 3° 53 29 53 50 5 OO 41 08 40 08 39 °9 38 08 37 °9 3609 35 °9 34 10 33 1° 32 II 31 11 30 12 5 00 10 41 25 40 25 39 25 38 25 37 26 36 26 35 25 34 26 33 26 32 27 31 27 30 27 10 20 41 38 4° 39 39 39 38 39 37 38 36 39 35 38 34 38 33 39 32 4° 31 39 3° 39 20 30 41 49 40 49 39 49 38 49 37 49 365° 35 49 34 49 33 48 32 49 31 49 30 49 30 40 41 5° 40 57 39 57 38 57 37 5° 3° 5° 35 5° 34 5° 33 55 32 55 31 5° 3° 5° 40 50 42 00 41 00 40 00 39 01 38 00 37 °0 36 00 34 59 33 59 32 59 32 00 31 00 50 6 OO 42 00 41 00 40 01 39 °° 38 01 37 00 36 01 35 0° 34 °° 33 °° 32 00 31 °° 6 OO 10 41 58 40 57 39 58 3858 37 58 3658 35 57 34 58 33 58 32 57 31 58 3° 58 10 30 41 '51 40 52 39 51 38 53 37 53 3° 53 35 52 34 52 33 52 32 52 31 53 3° 53 20 30 41 43 40 42 39 42 38 44 37 44 3° 44 35 44 34 44 33 44 32 44 31 45 3° 45 30 40 41 30 40 30 39 30 3831 37 31 3631 35 32 34 33 33 33 32 33 31 34 3° 34 40 50 41 13 40 15 39 15 38 16 37 15 36 16 35 17 34 18 33 18 32 19 31 20 30 20 50 7 OO 40 54 39 55 3856 37 57 3° 57 35 58 34 59 34 °° 33 °l 32 02 '31 03 30 04 7 00 10 40 30 39 33 38 33 37 34 3° 35 35 37 34 37 33 39 32 40 31 4i 3° 43 29 44 10 20 40 05 39 °° 38 07 37 °9 36 10 35 12 34 13 33 14 32 16 31 17 30 20 29 22 20 30 39 36 38 37 37 38 36 40 35 41 34 43 33 45 32 47 31 49 30 51 29 54 2856 30 40 39 °2 38 04 37 °5 36 08 35 1° 34 12 33 14 32 17 31 19 30 21 29 25 28 28 40 50 38 25 37 27 36 29 35 32 34 34 33 37 32 39 31 42 3° 45 29 48 28 53 27 5° SO 8 00 37 44 3° 47 35 49 34 52 33 55 32 58 32 01 31 °5 30 09 29 13 28 17 27 22 8 OO IO 3° 59 36 02 35 05 34 °8 33 12 32 16 31 20 30 25 29 29 28 33 27 39 26 44 IO 20 36 10 35 14 34 17 33 22 32 25 31 3" 30 34 29 40 2845 27 51 26 58 26 04 20 30 35 17 34 21 33 25 32 31 31 35 30 42 29 4° 28 52 27 59 27 06 26 13 25 21 30 40 34 20 33 25 32 29 31 35 3° 4i 29 48 28 55 28 02 27 09 26 17 25 25 24 34 40 50 33 18 32 24 31 29 30 37 29 44 28 51 27 59 27 °7 26 16 25 25 24 34 23 45 50 9 OO 32 12 31 18 30 27 29 34 28 42 27 5° 26 59 26 09 25 19 24 29 23 4° 22 52 9 OO IO 31 02 30 09 29 17 28 26 ' H 35 26 46 25 5° 25 °8 24 18 23 31 22 44 21 5° 10 20 29 46 28-55 28 05 27 15 26 26 2538 24 49 24 03 23 15 22 29 21 44 2058 20 30 28 26 27 3° 26 47 26 00 25 13 24 26 23 39 22 54 22 08 21 23 20 40 19 56 30 40 27 01 26 14 25 26 24 40 23 55 23 1° 22 25 21 42 20 58 20 16 19 34 18 51 40 50 25 31 2446 24 00 23 17 22 33 21 49 21 08 20 26 19 45 19 °3 18 24 17 45 50 io 00 23 58 23 14 22 31 21 48 21 07 20 26 19 46 19 °7 18 28 17 5° 17 12 16 35 10 00 10 22 18 21 37 20 56 20 l6 19 37 18 59 18 21 17 45 17 07 16 32 15 58 15 22 IO 20 20 34 19 55 19 17 18 41 18 04 17 29 1° 53 16 19 15 45 15 12 14 39 14 07 20 30 18 46 18 10 17 35 17 OO :6 27 15 55 15 22 14 51 14 19 13 49 13 20 12 5° 30 40 16 53 16 21 15 48 15 18 14 47 14 18 13 48 13 19 12 51 12 24 11 57 11 30 40 50 14 56 14 27 , 13 58 13 31 13 04 12 37 12 11 II 46 11 21 10 56 10 33 10 08 50 11 00 12 56 12 30 12 05 II 42 11 18 10 55 10 32 10 10 9 48 9 26 9 °5 845 11 00 10 10 52 10 30 10 09 9 49 9 29 9 °9 8 5° 832 8 12 7 55 7 38 7 20 10 20 845 8 28 8 li 7 55 7 38 7 22 7 °7 651 6 3° 6 22 6 08 5 54 20 30 6 36 6 23 6 10 5 57 5 45 5 33 5 21 5 °9 4 59 4 47 4 37 4 26 30 40 4 25 4 16 4 07 3 59 3 5i 3 42 3 34 3 27 3 19 3 12 3 05 2 58 40 50 2 13 2 08 2 04 2 Oft 1 5° 1 51 I 47 1 43 1 40 1 37 1 33 I 29 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the n.eridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to b'e entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 12 AZIMUTH OR TRUE BEARING. LATITUDE 1 ". DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 1°. Hour An gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. to. IU. o / / / / / / r / / / f li. m. O OO ; O OO 00 00 00 00 00 00 00 00 00 00 00 io i 27 1 24 1 21 1 17 1 H 1 11 1 07 1 04 1 01 58 ° 55 10 20 2 55 2 48 2 41 2 34 2 28 2 21 2 15 2 08 2 02 1 56 1 49 20 30 40 30 4 22 4 11 4 00 3 51 3 40 3 3° 3 21 3 12 3 02 2 53 2 44 40 5 47 5 33 5 20 5 06 4 53 4 40 4 27 4 15 4 °3 3 5° 3 38 50 7 12 6 54 •638 6 21 6 04 5 49 5 33 5 17 5 02 4 47 4 32 50 1 OO 8 35 8 14 7 54 7 35 7 15 656 638 6 19 6 00 5 43 5 25 1 00 10 9 56 9 33 9 10 847 825 8 02 7 41 7 19 6 59 6 37 6 18 10 20 11 17 10 50 10 24 9 58 9 33 9 08 8 43 8 19 7 55 7 31 7 08 20 30 30 12 35 12 05 II 36 11 07 10 39 10 12 9 44 9 18 851 825 7 59 40 13 50 13 18 12 47 12 15 II 44 11 14 10 44 10 14 9 45 9 17 8 48 t 40 50 15 04 14 28 13 55 13 21 12 47 12 14 II 42 11 10 10 38 10 07 9 36 50 2 00 16 14 15 37 15 00 14 25 13 48 13 13 12 38 12 04 11 29 10 56 10 22 2 OO IO 17 22 16 43 16 04 15 25 14 48 14 10 13 32 12 56 12 19 II 43 11 08 IO • 20 18 28 17 47 17 06 16 24 15 44 15 04 14 24 13 46 13 08 12 29 11 51 20 30 19 31 1847 18 04 17 21 16 39 15 57 15 15 14 35 13 54 13 13 12 34 30 40 20 31 19 45 19 00 18 15 17 31 16 48 IO 04 15 20 14 38 13 5° 13 14 40 50 21 27 20 40 19 53 19 07 18 21 17 36 16 50 16 05 15 20 14 37 13 53 50 3 OO 22 21 21 33 20 44 19 56 19 08 18 21 17 33 16 48 16 01 15 16 14 3° 3 OO 10 23 12 22 22 21 31 20 43 19 53 19 °4 18 16 17 28 16 40 15 52 15 °5 10 20 24 00 23 09 22 17 21 26 20 36 19 4° 18 56 18 06 17 16 16 27 15 38 20 30 24 45 23 52 23 00 22 08 21 15 20 23 19 33 18 42 17 51 17 01 16 10 30 40 25 27 ' 24 33 23 39 22 46 21 52 21 00 20 07 19 '5 18 24 17 32 16 40 40 50 26 05 25 II 24 16 23. 22 22 28 21 33 20 40 19 46 18 54 18 00 17 08 50 4 OO 26 41 25 45 24 49 23 55 23 00 22 04 21 10 20 16 19 21 18 27 17 33 4 00 IO 27 14 26 17 25 21 24 25 23 28 22 33 21 37 20 42 19 47 18 51 17 57 10 20 27 43 26 46 25 49 24 52 23 56 22 59 22 03 21 06 20 10 19 14 18 18 20 30 28 II 27 13 26 14 25 17 24 20 23 22 22 26 21 28 20 31 19 34 18 38 30 40 28 34 27 36 26 38 25 40 24 42 23 43 22 46 21 48 20 50 19 53 1855 40 50 28 55 27 57 2658 25 59 25 00 24 02 23 03 22 05 21 07 20 09 19 11 50 5 00 29 12 28 14 27 15 26 16 25 17 24 18 23 19 22 20 21 21 20 23 19 24 5 OO IO 29 28 28 28 27 29 26 30 25 30 24 31 23 32 22 33 21 33 20 34 19 35 10 20 29 41 28 41 2741 26 41 25 4i 24 42 23 43 22 43 21 43 20 44 19 44 20 30 29 50 28 49 27 50 26 50 25 51 24 51 23 5i 22 J! 21 51 20 51 19 52 30 40 29 56 28 56 27 56 26 56 25 56 24 5° 23 56 22 56 21,56 20 56 19 57 40 50 30 00 29 00 27 59 26 59 25 59 24 59 23 59 22 59 21 59 20 59 19 59 50 6 OO 30 00 29 01 28 58 28 00 27 01 26 00 25 00 24 00 23 OO 22 00 21 OO 20 01 6 OO 10 29 58 27 59 26 59 25 59 24 58 2358 22 58 21 58 20 58 19 58 IO 20 29 54 28 53 27 53 26 54 25' 54 24 55 23 54 22 55 21 55 20 55 19 56 20 30 29 46 28 46 27 46 26 47 25 47 24 47 23 48 22 49 21 49 20 49 19 5° 30 40 29 35 28 35 27 36 26 37 25 38 2438 23 39 22 40 21 41 20 42 19 42 40 50 29 22 28 23 27 24 26 25 25 26 24 27 23 27 22 29 21 30 20 31 19 33 50 7 00 29 05 28 06 27 08 26 10 25 11 24 12 23 13 22 16 21 17 20 19 19 20 7 OO 10 28 46 27 48 26 49 25 52 24 54 23 5° 22 58 22 OO 21 02 20 05 19 07 IO 20 28 25 27 26 26 28 25 32 24 34 23 3° 22 39 21 42 20 45 19 48 18 51 20 30 27 59 27 02 26 05 25 09 24 12 23 15 22 17 21 22 20 25 19 29 19 08 18 33 30 40 27 32 26 35 25 39 24 43 23 47 22 50 21 55 20 59 20 04 18 13 40 50 27 00 26 05 25 °9 24 14 23 20 22 24 21 29 20 34 19 40 18 45 17 51 50 8 • OO 26 27 25 32 24 37 23 44 22 49 21 55 21 01 20 07 19 14 18 20 17 26 8 OO IO 25 50 24 57 24 03 23 °9 22 17 21 23 20 30 19 38 1845 17 53 17 00 IO 20 25 11 24 18 23 26 22 33 21 41 20 50 19 57 19 OO 18 15 17 24 16 33 20 30 24 29 23 37 22 45 21 55 21 04 20 13 19 22 18 32 17 42 16 53 16 03 30 40 23 44 22 53 22 03 21 13 20 23 19 34 18 45 17 56 17 07 16 19 15 32 40 50 22 55 22 06 21 17 20 29 19 41 18 53 18 05 17 18 16 31 15 45 14 58 50 » OO 22 04 21 16 20 29 19 42 18 55 18 08 18 09 17 23 16 38 15 53 15 08 14 23 9 OO 10 21 10 20 24 19 3» 18 53 17 24 16 39 15 55 15 12 14 28 13 45 13 06 10 20 20 13 19 29 ' 18 44 18 01 17 18 16 36 15 53 15 11 14 29 13 48 20 30 19 13 18 31 17 49 17 07 16 26' 15 46 15 05 14 25 13 44 13 °5 12 26 30 40 18 II 17 31 16 50 16 11 15 32 14 53 14 14 13 36 12 59 12 21 11 44 40 50 17 06 16 28 15 49 15 13 14 36 13 59 13 22 12 47 12 11 11 36 11 00 50 10 OO '5 59 15 22 14 46 14 11 13 36 13 02 12 28 " 55 II 22 10 48 10 15 10 00 10 14 48 14 15 13 41 13 09 12 36 12 04 11 32 11 01 10 28 10 00 9 29 10 20 13 36 13 °5 12 34 12 04 11 34 11 05 10 35 10 07 9 38 9 10 8 42 20 30 12 21. 11 53 11 25 10 57 10 29 10 03 2 3 £ 9 10 844 8 19 7 53 30 40 11 04 10 39 10 14 9 48 9 24 9 00 8 36 8 13 7 49 7 26 7 °3 40 50 9 45 9 23 9 00 839 8 17 7 56 7 34 7 14 6 53 6 33 6 12 50 11 00 8 25 8 06 7 46 7 27 7 08 6 50 631 6 13 5 56 5 38 5 21 11 OO IO 7 °3 647 6 30 6 15 5 59 448 5.44 4 36 5 28 5 13 4 58 4 43 4 29 10 20 5 40 5 27 5 14 5 °J 4 23 4 12 3 59 3 47 3 36 20 30 4 16 4 06 3 56 3 46 3 36 3 28 3 18 3 09 3 00 2 51 2 42 30 40 2 51 2 44 2 38 2 3 1 2 25 2 18 2 12 2 06 2 01 1 55 1 48 40 50 1 26 1 22 I 19 1 15 I 12 1 10 1 07 1 03 1 00 57 ° 54 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude,'when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the suppplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 13 AZIMUTH OR TRUE BEARING. LATITUDE 2 o # DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 2°. 1 Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. b. m. . ° / o 1 / / / 1 / / / ■ / / / / h. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 O 00 10 6 02 546 5 30 5 15 5 01 4 48 4 36 4 25 4 14 4 04 3 54 3 45 10 20 30 12 00 II 26" 10 54 10 24 9 57 9 32 9 07 .8 45 8 24 8 04 7 46 7 28 20 17 38 16 49 16 04 15 22 14 43 14 06 13 32 12 59 12 29 12 00 11 33 11 06 30 40 22 55 21 55 20 59 20 05 19 15 18 28 17 45 17 03 16 24 15 46 15 II 14 38 40 50 27 47 26 36 25 31 24 30 23 31 22 36 21 44 20 55 20 08 19 24 18 41 18 01 50 1 00 32 10 30 54 29 42 28 33 27 28 26 27 25 28 24 32 23 39 22 49 22 01 21 14 1 OO 10 36 09 34 47 33 3° 32 17 31 08 30 oi 2857 27 56 26 58 26 02 25 08 28 04 24 17 10 20 39 41 38 17 36 57 35 41 34 26 33 17 36 15 32 09 31 03 33 5§ 30 02 29 02 27 09 20 30 42 50 41 25 40 03 38 45 37 29 35 05 32 53 31 49 3048 29 5° 30 40 50 45 39 44 13 42 50 41 31 40 13 38 59 37 46 3° 37 35 29 34 24 33 21 32 19 40 48 07 46 42 45 20 44 00 42 42 41 26 40 12 39 02 37 53 36 46 35 40 34 37 50 2 00 50 19 48 56 47 34 46 14 44 56 46 56 43 40 42 26 41 14 40 05 38 56 37 50 36 46 2 00 10 52 17 50 54 49 33 48 14 45 41 44 27 43 15 42 04 40 56 39 49 38 44 10 20 30 54 01 52 40 51 21 50 03 48 46 47 31 46 17 45 °4 43 54 42 45 41 3» 40 32 20 55 34 56 57 54 15 52 56 51 40 50 24 49 09 47 56 46 45 45 34 44 25 43 17 42 10 30 40 55 39 54 22 53 06 51 52 5<>38 49 26 48 14 47 05 45 56 44 48 43 42 ' 40 50 58 10 56 54 55 38 54 24 53 " 51 58 50 47 49 37 48 27 47 18 46 10 45 04 SO 3 OO 59 16 58 01 5648 55 34 54 22 53 10 52 00 50 50 49 41 48 33 47 26 46 20 3 00 lO 60 14 59 02 57 49 5638 55 26 54 16 53 "7 51 58 50 49 49 42 48 35 47 29 10 20 61 07 59 56 58 44 57 34 56 23 55 15 54 06 5258 51 50 50 43 49 37 48 32 20 30 fi I 53 6043 59 3 i 60 18 58 25 57 15 56 07 55 00 53 52 52 46 51 39 1 50 33 49 28 30 40 62 35 61 26 59 10 58 02 56 54 55 47 54 40 53 35 52 29 51 24 50 20 40 50 63 II 62 03 60 56 59 49 58 42 57 35 5° 3° 55 24 54 19 53 14 52 09 51 06 SO 4 OO 63 44 62 37 61 31 60 25 59 19 58 13 57 07 56 02 54 58 53 54 52 50 51 46 4 OO lO 64 12 63 06 62 01 60 56 59 5i 58 46 57 41 56 37 55 34 54 30 53 26 52 23 10 20 £* 3 Z 63 31 62 28 61 23 60 19 59 15 58 11 57 08 5° 04 55 00 53 57 52 5° 20 30 6458 63 54 62 50 61 47 60 43 59 4o 5836 57 34 56 31 55 28 54 26 53 24 30 40 65 15 64 12 63 10 62 06 61 04 60 01 58 59 57 57 56 54 55 52 54 50 53 48 40 50 65 31 64 28 63 25 62 23 61 22 60 19 59 17 58 16 57 13 56 12 55 io 54 09 SO 5 OO 6543 64 40 63 39 62 37 61 36 60 34 59 32 58 31 57 29 5° 28 55 28 54 26 5 OO lO 65 52 ^* S l 63 49 62 48 61 47 60 46 59 45 58 44 57 43 56 41 55 4i 54 39 10 20 6559 64 58 63 57 62 56 61 55 60 55 59 54 60 00 58 53 57 52 56 52 55 51 54 51 20 30 66 03 65 02 64 02 63 01 62 00 61 00 58 59 57 59 5°59 55 58 54 58 30 40 66 04 65 04 64 04 63 03 62 03 61 03 60 03 59 °3 58.03 57 03 56 02 55 02 40 50 66 04 65 03 64 04 63 04 62 03 61 04 60 03 59 °3 58 04 57 03 56 °3 55 03 50 6 OO 66 01 65 01 64 00 63 01 62 00 61 01 60 01 59 01 58 01 57 ot 56 01 55 01 6 00 10 65 55 64 56 6356 62 55 61 55 60 56 59 55 5856 57 56 5°56 55 56 54 5 6 IO 20 6548 64 47 63 47 62 47 61 47 60 47 59 46 58 47 57 47 5648 55 48 54 48 20 30 6536 64 36 63 3 6 62 36 61 36 60 36 59 36 583° 57 36 56 37 55 36 54 36 30 40 65 23 64 23 63 23 62 23 61 23 60 23 59 22 58 22 57 22 56 22 55 22 54 22 40 50 65 08 64 07 63 06 62 07 61 06 60 06 59 06 58 05 57 05 56 04 55 °4 54 04 50 7 OO 64 49 63 48 62 48 61 47 60 46 59 46 58 45 57 45 56 44 55 44 54 44 53 43 7 OO lO 64 28 63 27 62 25 61 24 60 25 59 23 58 22 57 22 56 21 55 20 54 19 53 19 10 20 64 04 63 03 62, 01 60 59 59 57 5856 57 55 56 54 55 53 54 53 53 52 52 52 20 30 63 37 62 35 ' 61 32 60 30 59 28 58 26 57 25 56 24 55 23 54-22 53 20 52 20 30 40 63 05 62 02 61 01 59 58 5856 57 54 56 51 55 5° 54 48 53 47 52 45 51 45 40 50 62 32 61 28 60 25 59 22 58 19 57 16 5° 14 55 12 54 09 53 08 52 07 51 06 50 8 OO 61 54 60 50 59 46 58 42 57,38 56 34 55 32 54 29 53 27 52 26 51 23 50 22 8 00 10 61 12 60 07 59 02 57 57 56 53 55 49 54 46 53 43 52 40 51 38 50 36 49 34 IO 20 60 25 5 ? '1 58 13 57 08 56 03 54 59 53 55 52 51 51 48 50 46 49 43 48 41 20 30 59 33 58 26 57 20 56 22 56 14 55 08 54 03 52 59 51 55 50 52 49 49 48 46 47 44 30 40 58 37 57 28 55 15 54 08 53 02 51 57 50 53 49 49 48 47 47 43 46 41 40 50 57 33 56 25 55 17 54 09 53 02 51 56 50 50 49 4° 48 41 47 38 4° 35 45 33 50 9 00 56 25 55 15 54 05 52 57 51 49 50 42 49 36 48 31 47 26 46 23 45 20 44 18 9 00 10 55 08 53 56 52 46 5i 38 50 30 49 22 48 16 47 10 46 06 45 °2 43 59 42 58 10 20 53 43 52 32 51 20 50 11 49 02 47 55 46 48 45 42 44 38 43 35 42 32 41 30 20 30 52 10 50 57 49 45 48 36 47 26 46 18 45 12 44 06 43 02 41 59 40 56 39 56 30 40 50 27 49 14 48 01 46 51 45 4i 44 33 43 27 42 22 41 17 40 15 39 13 38 13 40 50 48 33 47 19 46 07 44 55 43 46 42 39 41 32 40 28 39 24 38 23 37 22 36 23 50 10 00 46 28 45 13 44 01 42 50 41 4i 4o 34 39 28 38 25 37 22 36 21 35 23 34 25 10 00 lO 44 07 42 54 41 41 40 31 39 23 38 17 37 13 36 11 35 10 34 11 33 13 32 17 10 20 4i 34 40 21 39 09 38 01 36 54 35 50 34 46 33 46 32 47 31 51 30 54 30 01 20 30 38 43 37 32 36 22 ' 35 15 34 11 33 08 32 08 31 10 30 14 29 20 28 27 27 35 30 40 35 35 34 27 33 19 32 16 31 13 3° 14 29 17 28 22 27 29 26 38 25 48 25 02 40 50 32 09 31 04 30 01 29 00 28 02 27 07 26 14 25 23 24 34 23 47 23 02 22 18 50 11 OO 28 23 27 23 26 24 25 29 24 37 23 46 22 58 22 12 21 28 20 45 20 05 19 26 11 00 10 24 18 23 24 22 32 21 44 20 56 20 13 19 30 18 50 18 11 17 35 17 00 16 26 10 20 19 55 19 08 18 25 17 43 17 04 16 27 15 51 15 17 14 46 14 16 13 46 13 18 20 30 15 14 14 37 14 02 13 3° 13 00 12 30 12 03 11 37 11 12 io 49 10 26 10 04 30 40 10 18 9 52 9 29 9 06 8 45 8 26 8 06 7 49 7 31 716 7 01 6 46 40 50 5 11 4,59 4 47 4 35 4 25 4 14 4 05 355 3 47 3 39 3 32 3 24 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different .name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 14 AZIMUTH OR TRUE BEARING. LATITUDE 2 D . DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 2°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43» 44° 45° 46° 47° Hour Angle. ta. in. o / / / / / r ' / / 0' 1 / / ll. in. O 00 00 00 00 o'oo 00 00 00 00 00 00 00 00 00 ilO 3 3° 3 28 6 55 3 21 3 14 3 °7 3 00 2 53 2 47 2 41 2 35 2 30 2 24 lO 20 30 40 50 20 7 " 6 40 6 26 6 11 5 58 5 45 5 33 5 21 5 10 4 59 4 48 30 10 41 10 18 9 55 9 34 9 14 8 53 8 34 8 17 7 59 7 43 7 26 7 n 40 14 06 13 35 13 06 12 38 12 11 n 45 11 21 10 57 10 34 13 0° 10 12 9 51 9 3° 50 17 22 16 45 16 10 15 36 15 °3 14 33 14 02 13 33 12 38 12 12 11 47 1 00 20 30 19 47 19 06 18 27 17 5° 17 13 1S38 16 04 15 32 15 00 14 3° 14 00 1 00 10 23 28 22 40 21 55 21 11 20 29 19 48 19 08 18 30 17 53 17 18 16 43 16 09 lO 20 26 16 25 24 24 34 23 47 23 01 22 15 21 32 20 50 20 09 22 18 19 29 18 51 18 13 20 30 28 53 27 58 27 °4 26 13 25 23 24 35 23 48 23 02 21 36' 20 54 20 13 30 * 40 40 31 20 30 22 29 25 28 31 27 39 26 47 25 57 25 08 24 22 23 35 22 51 22 07 50 33 35 32 35 31 37 30 40 29 46 28 52 27 59 27 08 26 18 25 30 24 42 23 55 1 50 2 OO 35 42 34 4° 33 4° 32 42 31 45 3° 49 29 54 29 01 28 08 27 17 26 28 25 39 2 00 10 37 39 36 35 35 34 34 35 33 36 32 38 31 4i 30 46 29 52 28 59 28 07 27 17 10 20 39 26 38 22 37 20 36 19 35 18 34 20 33 21 32 25 31 29 30 34 29 41 28 48 20 30 41 05 40 01 38 57 37 54 36 54 35 54 34 55 33 57 33 00 32 04 31 09 30 15 30 40 42 35 41 3° 40 26 39 24 38 23 37 22 36 22 35 23 34 24 33 28 32 32 31 36 40 50 43 59 42 53 41 49 40 46 39 44 38 42 37 42 3° 42 35 43 34 45 33 48 32 52 50 3 OO 45 14 44 °9 43 °5 42 01 41 00 39 57 385° 37 56 3656 35 57 34 5? 34 02 3 00 10 46 23 45 19 44 14 43 11, 42 °9 41 06 40 05 39 05 38 04 37 04 36 06 35* 10 20 47 26 46 22 45 17 44 14 43 12 42 09 41 °7 40 07 39 06 38 06 37.06 36 08 20 30 48 23 47 18 4° 15 45 12 44 °9 43 °7 42 05 41 04 40 03 39 °3 38 03 37 04 30 40 49 15 48 10 47 °7 46 04 45 °i 43 59 42 58 41 5° 40 56 39 54 38 54 37 55 40 50 50 01 48 57 47 54 46 51 45 49 44 46 43 45 42 44 41 42 40 42 39 41 38 42 50 4 OO 50 43 49 4° 48 3° 47 34 4° 32 45 3° 44 27 43 26 42 25 41 24 40 24 39 24 4 00 lO 51 20 5° 16 49 14 48 12 47 1° 46 08 45 06 44 06 43 04 42 03 41 03 40 03 lO 20 51 53 5° 5° 49 48 48 46 47 45 46 42 45 41 46 11 44 40 43 38 42 38 41 37 40 37 20 30 52 21 51 19 5° 17 49 15 48 14 47 12 45 10 44 09 43 08 42 08 41 °7 30 40 52 47 51 44 5° 42 49 41 48 40 47 38 46 37 45 3° 44 3° 43 35 42 34 41 34 40 50 53 07 52 05 51 05 50 03 49 °2 48 01 47 °° 46 00 44 59 43 57 42 57 41 57 50 5 00 53 25 52 23 51 22 50 22 49 21 48 20 47 19 46 19 45 18 44 17 43 17 42 17 5 00 10 53 39 52 38 51 37 5° 37 49 3° 48 35 47 34 46 34 45 33 44 33 43 32 42 32 10 20 53 50 52 49 5i 48 50 48 49 48 48 47 47 4° 46 46 45 4° 44 45 43 45 42 45 20 30 53 58 52 57 51 57 5° 5° 49 56 48 55 47 55 46 55 45 55 44 54 43 54 42 54 30 40 54 03 53 °I 52 01 51 01 50 01 49 00 48 00 47 °o 46 00 45 00 44 00 43 °° 40 50 54 03 53 °3 52 02 51 °3 50 03 49 °2 48 03 47 °3 46 02 45 02 44 02 43 02 50 6 00 54 01 53 °I 52 01 51 01 50 02 49 01 48 01 47 01 46 01 45 °i 44 01 43 01 6 00 lO 53 56 52 56 51 5° 5° 56 49 57 48 56 47 5° 46 56 45 57 44 57 43 57 42 57 10 20 53 48 52 48 51 48 50 48 49 49 48 48 47 48 46 49 45 49 44 49 43 49 42 49 20 30 53 37 52 37 51 37 5° 37 49 38 48 37 47 37 4638 45 38 44 38 43 39 42 39 30 40 53 22 52 22 51 22 5° 23 49 24 48 23 47 23 4° 23 45 24 44 25 43 25 43 08 42 25 42 08 40 50 53 05 52 04 5i 05 5° °5 49 °5 48 05 47 05 46 05 45 °7 44 °7 SO 7 OO 52 44 51 44 5° 43 49 44 48 44 47 44 46 45 45 45 44 46 43 46 42 47 41 48 7 OO 10 52 20 51 19 5° 19 49 19 48 20 47 20 46 20 45 20 44 21 43 22 42 23 41 23 lO 20 51 51 5° 5.1 49 51 48 51 47 51 46 51 45 52 44 52 43 53 42 54 41 55 40 56 20 30 51 20 5° 19 49 x 9 48 20 47 19 46 19 45 20 44 21 43 22 42 23 41 24 40 25 30 40 50 44 49 44 48 43 47 43 46 44 45 44 44 44 43 45 42 4° 41 47 40 48 39 50 40 50 5° "5 49 °5 48 04 47 °4 46 04 45 °4 44 05 43 06 42 07 41 08 40 10 39 12 50 8 00 49 21 48 20 47 20 46 20 45 20 44 20 43 21 42 22 41 24 40 25 39 27 38 29 8 00 10 48 33 47 32 46 31 45 32 44 32 43 32 42 33 41 35 40 37 3? 3§ 38 41 37 43 lO 20 47 40 46 39 45 39 44 39 43 4° 42 4° 41 41 40 43 39 45 38 47 37 5° 36 53 20 30 46 43 45 42 44 41 43 42 42 43 41 43 40 44 39 47 3» 49 37 53 3° 55 35 59 30 40 45 4° 44 39 43 38 42 39 41 40 4041 39 42 3846 37 49 3° 52 35 55 35 00 40 50 44 32 43 31 42 3° .41 31 4° 33 39 34 3» 37 37 40 36 43 35 48 34 52 33 57 50 9 00 43 17 42 16 41 17 40 18 39 20 38 21 37 25 36 29 35 32 34 37 33 44 32 49 9 00 10 41 57 4° 57 39 57 38 59 38 00 37 03 36 07 35 12 34 17 33 23 32 30 31 37 10 20 40 30 39 3° 38 31 37 33 36 37 35 4° 34 45 33 51 32 57 32 04 31 12 30 20 20 30 38 55 37 56 36 59 36 02 35 °6 34 1° 33 17 32 24 31 31 30 39 29 48 28 59 30 40 37 14 36 16 35 19 34 24 33 3° 32 35 31 42 30 51 30 00 29 10 28 20 27 32 40 50 35 25 34 28 33 32 ■32 39 31 46 30 53 30 02 29 12 28 23 27 34 26 47 26 01 50 10 00 33 29 32 33 31 39 3° 47 29 5° 29 05 28 16 27 28 26 41 25.54 25 09 24 24 10 00 10 31 22 30 29 29 38 28 48 27 58 27 10 26 23 25 37 24 53 24 09 23 25 22 44 lO 20 29 10 28 18 27 28 26 41 25 55 25 08 24 24 23 41 22 59 22 17 21 37 20 57 20 30 26 47 25 59 25 12 24 28 23 44 21 26 23 01 22 19 21 39 20 59 20 21 19 44 19 °7 30 40 24 16 23 3i 22 48 22 07 20 46 20 09 19 32 1855 18 20 17 4° 17 13 40 50 21 37 20 56 20 16 19 39 19 02 18 26 17 52 17 19 16 46 16 14 15 43 15 14 50 11 OO 18 49 18 13 17 37 17 04 16 31 16 00 15 29 15 01 14 32 14 04 13 37 13 11 11 00 10 15 54 15 22 14 52 14 24 13 56 13 29 13 03 12 37 12 14 11 50 11 27 11 05 10 20 12 52 12 26 12 01 11 38 11 15 10 53 10 32 10 11 9 52 9 32 9 14 8 5° 20 30 9 44 9 24 9 06 8 48 8 3° 8 13 7 57 7 42 7 26 7 12 658 6 43 30 40 6 33 6 19 6 06 5 54 5 42 5 3° 5 20 5 09 4 59 4 49 4 39 4 30 40 50 3 17 3 i° 3 °3 2 58 2 52 2 46 2 40 2 35 2 30 2 25 2 20 2 15 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South £0 West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 15 AZIMUTH OR TRUE BEARING. LATITUDE 2°. DECMNATION- SAME NAME AS— LATITUDE. LATITUDE 2°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hoar Angle. Ii. Hi. o / / / w / / / / / / / / / Ii. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 2 20 2 15 2 10 2 05 2 00 156 1 52 1 47 1 43 1 39 1 35 1 32 10 20 4 38 6 55 4 29 til 4 °9 4 01 3 51 3 44 3 35 3 26 3 19 3 11 3 °3 20 30 6 40 6 13 5 59 5 46 5 33 5 21 5 I" 4 58 6 35 4 47 4 35 30 40 9 10 851 8 33 ' io 36 8 15 7 5° 7 39 7 23 7 °7 6 50 6 20 6 05 40 50 50 11 22 10 59 10 14 9 52 9 31 9 °9 8 49 8 30 8 11 7 52 7 34 1 00 13 32 13 04 12 36 12 11 11 45 11 19 1° 55 10 31 10 08 9 45 9 23 9 01 1 00 10 15 36 15 05 14 34 14 04 13 35 13 06 12 37 12 10 • 11 44 11 18 10 52 10 27 IO 20 17 37 17 01 16 27 15 54 15 21 14 4b 14 17 13 47 13 17 12 48 12 19 11 51 20. 30 30 19 33 1854 18 17 17 4° 17 04 16 28 15 54 15 21 14 47 14 15 13 43 13 12 40 21 24 20 42 20 02 19 22 1843 18 05 17 28 16 51 16 15 15 40 15 06 14 31 40 SO 23 10 22 26 21 42 21 00 20 18 19 37 1857 18 18 17 39 17 02 16 24 15 47 SO 2 00 24 5i 24 °4 23 18 22 34 21 49 21 06 20 24 19 42 19 00 18 20 17 40 17 01 2 00 10 26 27 25 38 24 49 24 02 23 16 22 30 21 46 21 02 20 18 19 36 18 54 IS 12 10 20 27 57 27 06 26 16 25 27 24 39 23 5° 23 °4 22 17 21 33 20 47 20 04 19 20 20 30 29 22 28 29 27 38 26 47 25 57 25 07 24 19 23 30 22 43 21 57 21 10 20 24 30 40 30 41 29 47 28 55 30 Of 28 02 27 10 26 I9 25 29 24 39 23 51 23 02 22 14 21 27 40 50 50 31 56 31 00 29 12 28 20 27 27 26 35 25 44 24 53 24 04 23 14 22 25- 3 00 33 05 32 09 31 14 30 19 29 25 28 30 27 38 26 46 25 53 25 02 24 11 23 20 3 00 10 34 10 33 13 32 17 31 20 30 25 29 31 28 36 27 43 26 50 2 § 5 !j 25 °4 24 12 10 20 35 10 34 12 33 15 32 18 31 22 30 26 29 31 28 36 27 42 26 48 25 54 25 02 20 30 36 05 35 °7 34 °9 33 " 32 15 31 18 30 21 29 26 28 31 27 36 26 41 25 47 30 40 36 55 35 57 34 59 34 01 33 03 3205 31 09 30 12 29 16 28 20 27 24 26 30 40 50 37 42 36.43 35 44 34 4° 33 48 32 49 31 52 3° 55 2958 29 02 28 05 27 °9 50 4 00 38 24 37 25 36 26 35 27 34 28 33 30 32 31 31 33 30 37 29 39 2b 42 27 45 4 OO 10 39 °3 38 03 37 °4 36 04 35 °6 34 06 33 °8 32 09 31 12 30 13 29 15 28 18 IO 20 39 37 38 37 37 37 3638 35 38 34 39 35 °° 33 40 32 41 31 43 3° 44 29 4° 28 48 20 30 40 07 39 07 38 07 37 08 3608 34 09 33 °9 32 II 31 12 30 13 29 15 30 40 40 34 39 33 38 34 37 33 36 34 35 32 34 34 33 35 32 3° 31 37 30 37 29 38 40 50 40 57 39 5° 38 56 37 57 365° 35 56 34 57 33 57 32 57 3i 58 3°58 29 59 50 5 00 41 15 4° 15 39 '5 38 15 37 16 36 15 35.16 34 16 33 15 32 17 31 17 30 17 5 OO 10 41 32 40 31 39 31 38 31 37 31 3° 31 35 32 34 31 33 32 32 31 31 31 3° 31 10 20 41 44 40 44 39 44 38 44 37 43 36 43 35 43 34 43 33 44 32 44 31 43 3° 43 20 30 41 53 4° 53 39 54 38 53 ■ 37 53 36 52 35 53 34 52 33 52 32 52 31 52 30 52 30 40 4i 59 4° 59 39 59 38 59 ' 37 59 3658 35 58 34 58 33 58 32 58 3158 30 58 40 50 42 02 41 02 40 t>2 39 °2 38 02 37 02 36 02 35 02 34 01 33 01 - 32 01 31 62 50 6 OO 42 01 41 01 40 01 39 °i 38 02 37 01 36 01 35 °i 34 01 33 01 32 01 31 00 6 00 10 41 58 40 58 39 58 3858 37 58 3658 35 58 34 58 33 58 32 58 31 57 30 58 IO 20 41 49 40 51 39 5i 38 51 37 52 3° 5i 35 51 34 51 33 52 32 52 31 52 30 52 20 30 41 39 40 39 39 4° 38 40 37 41 3 f 4 J 35 42 34 42 33 43 32 43 31 43 3° 44 30 40 41 26 40 26 39 27 38 27 37 28 36 28 35 29 34 30 33 30 32 31 31 31 30 33 40 50 41 09 40 10 39 " 38 11 37 12 36 12 35 13 34 14 33 IS 32 16 31 10 30 18 50 7 OO 40 49 39 49 38 50 37 5i 36 52 35 53 34 55 33 55 32 57 31 58 30 59 30 00 7 00 10 40 25 39 25 38 27 37 28 36 30 35 3i 34 32 33 33 32 35 31 37 30 38 29 40 IO 20 39 57 38 58 38 00 37 02 36 03 35 °5 34 07 33 09 32 11 31 12 30 15 29 17 20 30 39 26 38 28 37 30 3° 32 35 34 34 3° 33 38 32 41 31 43 30 46 29 48 28 51 30 40 38 52 37 54 36 5° 35 58 35 01 34 03 33 0° 32 09 31 12 30 16 29 19 28 22 40 50 38 14 37 17 3° 19 35 22 34 25 33 27 32 31 31 35 30 38 29 42 28 46 27 50 50 8 00 37 31 36 35 35 38 34 40 33 44 32 48 31 52 30 56 30 01 29 04 28 10 27 15 8 OO 10 3° 47 35 5° 34 53 33 57 33 °2 32 05 31 11 3° 15 29 20 28 26 27 31 26 38 10 20 35 57 35 0° 34 °5 33 °9 32 14 31 19 30 24 29 31 2837 27 44 26 49- 25 57 20 30 35 03 34 08 33 12 32 18 31 23 30 29 29 37 2843 27 5° 26 57 26 05 25 13 30 40 34 05 33 " 32 16 31 22 3° 3° 29 36 28 44 27 51 27 00 26 08 25 17 24 26 40 50 33 02 32 09 31 15 30 23 29 31 28 39 27 48 26 56 26 06 25 16 / 24-26 23 36 50 9 OO 31 5° 31 °3 30 11 29 19 28 28 27 38 26 48 25 57 25 09 24 20 23 32 22 44 9 00 10 30 45 29 53 29 02 28 12 27 23 26 34 25 44 24 5° 24 08 23 22 22 34 21 48 10 20 29 30 28 39 27 5° 27 01 26 13 25 25 24 37 23 51 23 °5 22 19 21 34 20 49 20 30 28 09 27 20 26 33 25 46 24 59 24 13 23 27 22 42 21 58 21 14 20 30 19 48 30 40 26 45 25 57 25 11 24 25 23 41 22 57 22 13 21 30 20 47 20 06 19 24 18 44 40 50 25 15 24 30 23 46 23 03 22 20 21 37 20 56 20 15 19 35 18 55 18 15 17 37 50 10 00 23 41 22 58 22 16 21 34 20 54 20 14 19 35 18 56 18 18 17 41 17 03 16 27 IO OO 10 22 02 21 22 20 42 20 03 19 25 18 48 18 10 17 34 16 59 16 23 15 49 15 15 IO 20 20 19 19 41 19 04 18 28 17 53 17 17 1° 43 16 10 15 36 15 03 14 32* 14 00 20 30 18 32 17 57 17 22 16 49 16 17 15 44 15 13 14 42 14 11 13 42 13 12 12 43 30 40 16 40 16 08 15 37 15 °7 14 37 14 08 13 39 13 11 12 43 12 16 11 5° 11 24 40 50 14 44 14 16 13 48 13 21 12 55 12 29 12 03 II 38 11 14 10 50 10 26 10 03 50 11 00 12 45 12 20 11 55 11 33 II 10 10 47 10 25 10 03 9 4i 9 20 9 00 8 40 11 00 10 10 43 10 22 10 01 9 41 ,9 2 2 9 02 8 44 ! 2 I 8 08 7 50 7 33 7 16 10 20 8 38 8 20 8 04 748 7 32 7 16 7 02 6 46 6 32 6 18 6 04 5 51 20 30 6 30 6 17 6 05 5 53 5 40 5 29 5 18 5 °6 4 55 4 44 4 34 4 23 30 40 4 21 4 13 4 °4 ?S8 348 3 40 3 32 3 25 3.17 3 1° 3 °3 2 56 40 50 2 11 2 07 2 02 I 54 1 5i 1 47 1 43 1 39 1 35 1 3i 1 28 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from. North to East; and when the star is setting or west of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 16 AZIMUTH OR TRUE BEARING. LATITUDE 2°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 2°. Hour Angle. 00° 61° 02° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. o / / / / / / / / / / / Ii. ■ in. OO 00 00 00 00 00 00 00 00 00 00 00 00 10 I 29 1 25 1 21 1 18 1 14 1 11 1 08 1 °5 1 02 59 55 IO 20 2 57 2 49 2 42 2 35 2 29 2 22 2 15 2 09 2 02 1 57 I' 51 20 30 4 24 4 14 4 03 3 53 3 43 3 32 3 23 3 13 3 °4 2 54 2 45 30 40 5 51 1 l l 5 22 5 09 4 5° 4 43 4 30 4 17 4 °5 3 52 3 4° 40 50 •• 7 17 6 58 6 41 6 25 6 08 5 52 5 35 5 20 5 °4 > 4 49 4 34 50 1 00 8 40 8 20 7 59 7 38 7 19 7 00 6 40 6 22 ' 6 03 5 45 '5 27 1 OO 10 10 02 9 38 9 15 852 8 29 8 01 7 44 7 23 7 01 6 40 6 19 IO 20 11 23 10 57 10 30 10 04 9 38 9 12 8 47 8 23 7 58 I if 7 12 20 30 12 42 12 12 " 43 11 13 10 45 10 17 9 49 9 21 8 54 8 01 30 40 13 58 13 25 12 52 12 21 11 50 11 19 10 49 10 19 9 5° 9 20 8 5? 40 50 15 12 14 37 14 01 13 28 12 54 12 20 II 47 11 14 10 42 10 11 9 4° 50 2 00 16 23 15 46 15 07 14 31 13 55 13 19 12 44 12 09 11 34 11 00 10 26 2 00 10 17 32 17 51 16 11 15 32 14 55 14 16 13 38 13 01 12 24 11 48 11 12 IO 20 18 37 17 54 1856 17 13 16 32 15 5i 15 10 14 3° 13 52 13 12 12 33 II 55 20 30 19 40 18 12 17 28 16 46 16 03 15 21 14 39 13 59 13 is 12 37 30 40 20 40 19 54 19 08 18 23 17 39 16 54 16 10 15 27 14 43 14 00 13 18 40 50 21 37 20 49 20 01 19 14 18 28 17 41 165° 16 11 15 26 14 41 13 57 50 3 00 22 31 21 41 20 52 20 03 19 '5 18 28 17 40 16 53 16 06 15 20 14 34 3 OO io 20 23 21 22 31 21 40 20 49 20 01 19 11 18 22 17 33 1° 45 15 57 15 °9 IO 24 09 23 17 22 24 21 33 20 43 19 51 19 01 18 12 17 22 16 31 15 42 20 30 24 54 24 00 23 07 22 14 21 22 20 30 19 38 18 47 17 5° 17 °5 16 14 30 40 25 35 24 41 23 46 22 53 22 00 21 06 20 13 19 21 18 28 17 35 16 44 40 50' 26 14 25 18 24 22 23 28 22 34 21 39 20 46 19 51 18 58 18 P4 17 12 50 4 OO 26 49 25 53 24 57 24 00 23 "5 22 10 21 15 20 21 19 25 18 31 17 37 4 OO IO 27 21 26 24 25 27 24 30 23 35 22 38 21 42 20 47 19 5i 18 55 18 00 IO 20 2 l 5 2 26 53 25 55 24 58 24 01 23 °4 22 07 21 10 20 14 19 17 18 22 20 30 28 16 27 19 26 20 25 22 24 25 23 27 22 29 21 32 20 36 19 38 18 41 30 40 28 40 27 41 26 42 25' 44 24 46 23 47 22 49 21 52 20 54 19 55 1858 40 50 29 00 28 02 27 02 26 03 25 05 24 06 23 07 22 08 21 10 20 11 t 20 25 19 13 50 5 00 29 17 28 18 27 19 26 20 25 21 24 21 23 21 22 23 21 25 21 36 19 26 5 OO 10 29 32 28 32 27 33 26 33 25 34 24 34 23 35 22 36 20 37 1938 10 20 29 44 2843 27 43 26 44 25 44 24 45 23 45 22 45 21 46 20 46 19 46 20 30 29 52 28 52 27 52 26 52 25 53 24 52 23 53 22 52 21 53 20 53 20 58 19 53 19 58 30 40 2958 28 58 27 58 26 57 25 58 24 57 23 57 22 57 21 57 40 50 30 01 29 01 28 00 27 00 26 01 25 00 24 00 23 00 22 00 21 00 20 00 50 6 00 30 01 29 01 28 00 27 00 26 01 25 01 24 01 23 01 22 01 21 01 20 01 6 OO IO 29 58 2§58 27 59 2658 25 59 24 59 23 59 22 59 21 59 20 59 20 00 IO 20 29 53 2853 27 53 26 53 25 54 24 54 23 54 22 55 21 54 20 55 19 5° 20 30 29 44 28 45 27 45 26 45 25 47 24 47 23 47 22 47 21 48 20 49 19 5° 30 40 29 33 2834 27 35 26 35 25 36 24 37 23 38 22 39 21 40 20 40 19 41 40 50 29 19 28 20 27 21 26 22 25 24 24 25 23 26 22 28 21 29 > 20 30 19 32 50 7 00 29 02 28 04 27 05 26 07 25 °9 24 10 23 11 22 13 21 15 20 17 19 20 7 00 10 28 43 27 44 26 46 25 48 24 51 23 54 22 56 21 58 21 01 20 02 19 06 10 20 28 20 27 22 26 25 25 28 24 31 23 34 22 36 21 40 20 42 19 45 18 50 20 30 27 55 26 58 26 01 25 05 24 09 23 12 22 16 21 19 20 23 19 27 18 31 30 40 27 26 26 30 25 34 24 38 23 43 22 47 21 52 20 56 20 01 19 05 18 11 40 50 26 55 26 00 25 05 24 °9 23 15 22 20 21 25 20 31 19 37 18 42 17 49 50 8 00 26 21 25 27 24 32 23 38 22 45 21 51 20 57 20 04 19 10 18 42 18 17 17 25 8 OO 10 25 45 24 50 23 57 23 05 22 12 21 19 20 27 19 34 17 5° 16 58 10 20 25 07 24 12 23 19 22 27 21 36 20 45 19 53 19 02 18 12 17 21 16 31 20 30 24 22 23 30 22 39 21 48 20 58 20 08 19 17 18 29 17 39 16 49 16 00 30 40 23 36 22 46 21 56 21 06 20 18 IQ 2 ° 18 40 17 52 17 04 16 15 15 28 40 50 22 47 21 59 21 10 20 23 19 35 18 48 18 00 17 14 16 26 15 4° 14 55 50 9 00 21 56 21 09 20 23 19 35 18.50 18 04 17 18 1° 33 15 48 15 °3 14 19 9 00 10 21 02 20 17 19 31 1847 18 02 17 18 16 35 15 50 15 °7 14 25 13 42 IO 20 20 05 19 22 18 38 17 55 17 13 16 30 15 48 15 07 14 26 13 44 13 °4 20 30 19 06 18 24 17 42 17 01 16 21 15 39 14 59 14 20 13 4i 13 01 12 23 30 40 18 03 17 23 16 44 16 04 15 27 14 47 14 09 13 32 12 55 12 17 11 41 40 50 16 58 16 21 15 43 15 06 14 30 13 54 13 18 12 42 12 07 II 32 1° 57 50 10 00 15 51 15 15 14 40 14 05 13 31 12 57 12 24 11 5° 11 18 1° 45 10 12 10 00 10 14 41 14 07 13 35 13 02 12 31 11 59 II 28 i°57 10 27 9 5° 9 27 10 20 13 29 12 58 12 28 n 58 II 29 1° 59 10 31 10 03 9 35 9 °7 8 39 20 30 12 15 10 58 11 47 11 20 10 52 10 25 2 5 ? 9 32 9 07 8 41 8 15 7 50 30 40 10 33 10 08 9 44 9 20 856 8 32 8 10 7 4& 7 23 7 01 40 50 9 40 9 18 8 56 8 34 8 13 7 52 7 31 7 11 6 50 °3i 11 50 11 00 8 21 8 01 7 42 7 23 7 05 6 47 ' 6 28 6 ii 5 54 5 3° 5 19 11 00 10 ° 59 6 43 6 27 6 12 5 5° 5 4° 5 26 5 11 4 56 4 41 4 27 10 20 5 37 5 24 5 11 4 58 4 45 4 34 4 21 4 °Q 3 °8 3 57 3 4° 3 34 20 30 4 14 4 04 3 54 3 44 3 35 3 26 3 17 258 2 50 2 41 30 40 2 49 ■ 2 43 2 36 2 3° 2 '24 2 18 2 II 2 05 1 59 1 53 1 47 40 50 1 25 1 22 1 19 1 15 1 12 1 09 I 06 1 03 1 00 57 54 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are -reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. " When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5 AZIMUTH OR TRUE BEARING. UTITITDE 3°. DECLINATION— SAME NAME AS— LATITUDE LATITUDE! 3°. Hour Angle. 24° 25° 26^ 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. o / / / / / / , , / / / / / Ii. 111. 00 o oo 00 00 00 00 00 00 00 00 00 00 00 00 10 6 20 6 02 5 44 5 27 5 12 4 59 4 45 4 33 4 22 4 11 4 01 3 52 10 20 12 31 " 54 11 20 10 48 10 19 9 51 9 26 9 03 8 40 8 19 7 59 7 40 20 30 18 24 17 31 16 41 15 56 15 14 14 35 13 5°' 13 23 12 51 12 20 11 52 11 24 30 40 23 51 22 45 21 44 20 47 19 55 19 °5 18 18 17 34 16 53 16 13 15 36 15 01 40 50 28 49 27 34 26 24 25 18 24 17 23.19 22 23 21 31 20 42 19 55 19 10 18 29 50 1 00 33 18 31 56 3° 39 29 27 28 19 27 13 26 12 25 13 24 18 23 24 22 34 21 45 1 OO 10 37 18 35 53 34 31 33 14 32 00 30 5° 29 44 28 40 27 39 26 41 25 45 24 51 IO 20 40 51 39 24 37 59 36 39 35 22 34 °9 32 58 31 5° 30 45 29 42 28 43 27 45 20 30 30 44 00 4= 32 41 05 39 43 3° 25 37 09 35 55 34 45 33 37 32 31 31 28 30 28 40 46 47 45 18 43 52 42 30 41 10 39 52 38 37 37 25 36 15 35 07 34 °i 3258 40 50 49 14 47 4° 46 20 44 57 43 37 42 18 4i 03 39 50 3838 37 29 36 22 35 17 50 2 00 5i 24 49 57 48 32 47 10 45 5° 44 32 43 15 42 02 40 50 39 39 38 31 37 25 2 00 IO 53 18 51 53 50 29 49 08 47 4? 4° 31 45 15 44 02 42 49 41 38 40 29 39 22 10 20 54 59 53 36 52 15 5° 54 49 36 48 19 47 03 45 49 44 37 43 26 42 17 41 09 20 30 5° 30 55 08 53 48 52 29 51 12 49 56 48 41 . 47 28 46 16 45 05 43 55 42 47 SO 40 57 49 56 29 55 it 53 54 52 38 •51 23 50 09 4856 47 45 46 34 45 25 44 17 40 50 59 00 57 42 56 25 55 1° 53 54 52 41 51 28 50 16 49 06 47 55 46 46 45 39 50 3 00 60 02 58 46 57 32 56 17 55 04 53 51 52 39 51 28 50 18 49 09 48 00 46 53 3 00 IO 60 58 59 44 5830 57 18 56 06 54 54 53 44 52 33 51 24 5° 15 49 °7 48 00 10 20 61 47 60.35 59 22 58 11 57 01 55 5° 54 4i 53 31 52 23 51 15 5° °8 49 01 20 30 62 31 61 20 60 09 58 59 57 50 56 40 55 31 54 24 53 15 52 09 51 °3 49 5° 30 40 63 09 61 59 60 50 59 4i 58 33 57 25 5° 17 55 1° 54 °3 52 57 , 51 51 5° 45 40 50 63 43 62 35 61 26 60 19 59 12 5805 5°58 55 52 54 4° 53 4° 52 35 51 29 50 4 00 64 13 63 05 61 59 60 52 59 45 58 40 57 34 56 28 55 23 54 18 53 13 52 09 4 00 10 64 38 63 33 62 26 61 21 60 16 59 11 58 05 57 0° . 55 5° 54 52 53 48 52 44 10 20 65 00 6356 62 50 61 46 60 41 59 37" 58 32 57 29 56 24 55 21 54 17 53 14 20 30 65 19 64 15 63 11 62 07 61 03 60 00 58 56 57 53 56 50 55 4° 54 43 53 41 30 40 65 35 64 31 63 27 62 25 61 22 60 19 59 16 58 13 57 11 56 08 55 °° 54 04 40 50 6548 64 44 63 41 62 39 61 37 60 35 59 33 5831 57 28 56 26 55 25 54 22 SO 5 00 65 58 64 55 63 53 62 51 61 49 60 47 59 46 58 44 57 43 56 40 55 39 54 38 5 00 10 66 04 65 03 64 01 63 00 61 59 60 58 59 55 58 54 57 53 56 52 55 51 54 50 10 20 66 09 65 08 64 07 63 06 62 05 61 04 60 03 59 °2 58 02 57 00 55 59 54 59 20 30 66 10 65 10 64 09 63 08 62 08 61 07 60 07 59 °7 58 06 57 06 56 04 55 04 30 40 66 11 65 09 64 09 63 09 62 09 61 08 60 08 59 °8 58 08 57 °7 56 07 55 °° 40 50 66 07 65 06 64 06 63 06 62 07 61 07 60 07 59 °7 5807 57 °° 56 06 55 06 50 6 00 66 02 65 01 64 62 63 02 62 03 61 02 60 02 59 02 58 02 57 02 56 02 55 °2 6 00 IO 65 54 64 54 63 54 62 54 61 54 60 55 59 55 58 55 57 55 5° 55 55 55 54 55 10 20 65 44 64 44 63 44 62 44 61 44 60 45 59 44 5845 57 45 56 45 55 45 54 46 20 30 65 31 °4 31 63 31 62 32 61 31 60 31 59 32 58 31 57 32 5° 32 55 32 54 33 30 40 65 16 64 16 63 16 62 16 61 16 60 15 59 15 58 16 57 16 56 16 55 16 54 16 40 50 6458 63 58 62 57 °i 57 60 57 59 57 5856 57 5° 5° 57 55 57 54 57 53 57 50 7 00 64 38 °3 37 62 36 °i 35 °o 35 59 35 58 35 57 35 %*§ 55 34 54 34 53 35 7 00 10 64 14 63 13 62 12 61 11 60 11 59 10 58 10 57 10 56 08 55 °8 54 °9 53 °8 10 20 °3 47 62 46 61 45 60 44 59 43 58 42 57 4° 56 40 55 4° 54 39 53 39 52 39 20 30 63 18 62 16 61 14 60 13 59 11 58 10 57 09 56 08 55 °7 54 °7 53 °6 52 06 30 40 62 45 61 43 60 40 59 38 5836 57 34 56 33 55 32 54 31 53 3° 52 29 51 29 40 50 62 09 61 06 60 03 59 °° 57 57 5656 55 54 54 52 53 51 52 49 51 49 50 48 50 8 00 61 28 60 24 59 21 58 18 57 15 56 12 55 1° 54 °7 53 06 52 04 51 °4 5° °3 8 OO 10 60 44 59 38 58 35 57 31 56 28 55 25 54 21 53 20 52 17 51 16 50 15 49 14 10 20 59 55 58 49 57 44 56 39 55 36 54 32 53 29 52 26 51 24 5° 21 49 20 48 19 20 30 59 01 57 55 56 49 55 43 54 39 .53 35 52 31 51 28 5° 25 49 22 48 21 47 20 30 40 58 01 5" 54 55 48 54 42 53 3° 52 32 51 27 50 24 49 21 48 19 47 17 46 17 40 50 56 56 55 48 54 41 53 34 52 28 51 23 5° 19 49 15 48 12 47 °9 46 07 45 °° 50 9 OO 55 45 54 36 53 27 52 20 51 14 50 08 49 °3 47 59 46 56 45 53 44 51 43 51 9 00 10 54 26 53 ifi 52 07 50 59 49 53 48 46 47 4° 46 37 45 33 44 31 43 29 42 29 10 20 52 59 51 48 5° 39 49 3° 48 23 47 17 46 11 45 °7 44 °4 43 °2 42 01 41 01 20 30 51 24 50 12 49 °2 47 53 46 45 45 39 44 33 43 30 42 27 41 25 40 24 39 25 30 40 49 38 48 26 47 16 46 07 44 59 43 53 42 48 41 44 40 42 39 4i 38 4° 37 42 40 50 47 42 46 30 45 20 44 11 43 °3 41 57 4° 52 39 5° 3848 37 48 36 49 35 52 50 io 00 45 35 44 23 43 12 '42 04 40 57 39 52 38 48 37 4« 36 46 35 47 34 49 33 53 10 00 IO 43 14 42 02 4 24 20 23 32 22 45 21 59 21 15 20 31 19 48 19 °4 18 22 10 ao 28 16 27 25 26 34 25 44 24 55 24 06 23 18 22 31 21 46 20 59 20 14 19 3i 20 30 29 42 28 48 27 55 27 03 26 13 25 23 24 33 .23 44 22 56 22 09 21 21 20 36 30 40 31 01 30 06 29 12 28 19 27 26 26 34 25 43 24 53 24 04 25 06 23 14 22 25 21 38 40' 50 32 16 31 20 30 24 29 3° 28 35 27 43 26 50 25 57 24 15 23 25 22 36 50 3 OO 33 25 32 28 31 31 30 35 29 40 28 45 27 52 2658 26 06 25 14 24 22 23 31 3 OO 10 34 29 33 31 32 34 31 37 3° 41 29 46 28 50 27 56 27 02 26 09 25 15 24 23 10 20 35 28 34 30 33 31 32 34 31 37 30 40 29 44 28 49 27 55 26 59 26 05 25 12 20 30 36 22 35 23 34 24 33 27 32 29 31 31 3° 34 29 38 28 42 27 47 26 51 25 57 30 40 37 14 36 13 35 13 34 15 33 16 32 19 31 21 30 24 29 28 28 31 27 35 26 39 40 50 37 57 36 58 35 58 34 59 34 °° 33 ° 2 32 03 31 06 30 09 29 11 28 14 27 18 50 4 00 38 40 37 3? 36 39 35 40 34 4° 33 41 32 43 31 44 3° 47 29 49 28 51 27 54 4 00 10 39 16 38 16 37 16 3° 16 35 17 34 17 33 18 32 19 31 21 3° 23 29 24 28 26 10 20 39 50 38 49 37 49 36 49 35 49 34 49 33 50 32 51 31 52 3° 53 29 54 28 56 20 30 40 18 39 18 38 17 37 18 36 17 35 18 34 18 33 19 32 19 31 20 30 20 29 22 30 40 40 44 39 44 38 43 37 43 36 42 35 43 34 42 33 43 32 43 31 44 3° 44 29 45 40 50 41 06 40 05 39 °5 38 05 37 05 36 04 35 °4 34 04 33 °4 32 °4 31 °4 30 06 50 5 00 41 24 40 24 39 24 38 23 37 22 36 22 35 22 34 22 33 22 32 22 31 22 30 22 5 00 10 41 39 40 39 39 38 38 37 37 37 36 37 35 36 34 36 33 3 6 • 32 36 31 36 3° 37 10 20 41 51 40 50 39 50 38 49 37 48 36 49 35 48 34 48 33 48 32 47 31 47 3° 47 20 30 41 58 40 58 39 58 38 57 37 57 36 57 35 56 34 56 33 57 32 56 31 55 3° 55 30 40 42 03 41 02 40 02 39 ° 2 38 02 37 °l 36 01 35 °l 34 °2 33 01 32 01 31 00 40 SO 42 05 41 04 40 04 39 °4 38 04 37 °4 36 04 35 °4 34 °4 33 °3 32 03 31 °2 50 6 00 42 03 41 02 40 02 39 03 38 03 3 Z °l 36 02 35 °2 34 °3 33 °2 32 02 31 03 6 00 IO 41 57 40 57 39 57 38 58 37 57 3° 58 35 58 34 58 33 59 32 58 31 59 3° 59 10 20 41 49 40 50 39 49 38 50 37 5° . 36 5° 35 5° 34 51 33 51 32 51 31 52 3° 52 20 30 41 37 40 38 39 38 38 39 37 39 36 40 35 40 34 4° 33 42 32 42 31 42 3° 43 30 40 41 22 40 23 39 24 38 25 37 25 36 26 35 26 34 27 33 29 32 29 31 29 3° 31 40 50 41 05 40 05 39 06 38 07 37 08 36 09 35 10 34 11 33 12 32 13 31 15 3° 15 50 7 OO 40 43. 39 44 38 45 37 47 36 47 35 49 34 50 33 52 32 54 31 54 3° 56 29 58 7 00 10 40 18 39 19 38 21 37 22 36 24 35 26 34 27 33 29 32 31 31 33 3° 35 29 37 10 20 39 49 3851 37 52 36 55 35 56 34 58 34 °l 33 °3 32 05 31 08 30 10 29 13 20 30 39 17 38 19 37 21 36 24 35 26 34 29 33 31 32 34 31 38 30 40 29 43 28 47 30 40 3842 37 44 36 47 35 50 34 53 33 57 32 59 32 03 31 06 30 10 29 13 28 17 40 50 38 03 37 06 36 09 35 12 34 16 33 19 32 23 31 27 30 31 29 35 28 40 27 45 50 8 00 37 2° 36 24 35 27 34 31 33 35 32 39 31 43 3° 49 29 54 28 59 28 04 27 09 8 00 10 36 33 35 38 34 42 33 46 32 51 31 56 31 01 30 06 29 12 28 18 27 25 26 32 10 20 35 43 34 4» 34 48 33 52 3258 32 03 31 °9 3°' 15 29 22 28 28 27 35 26 43 25 50 20 30 33 54 32 59 32 06 31 12 30 19 29 26 28 33 27 41 26 49 25 57 25 06 30 40 33 50 32 56 32 03 31 10 30 17 29 25 28 32 27 42 26 50 26 00 25 °9 24 18 40 50 32 47 31 54 31 02 30 11 29 18 28 27 27 36 26 47 25 56 25 °7 24 17 23 29 50 9 00 31 40 30 49 29 58 29 07 28 15 27 26 26 37 25 47 24 59 24 11 23 23 22 36 9 00 10 30 28 29 38 28 48 27 59 27 10 26 21 25 33 24 45 23 59 23 12 22 26 21 40 IO 20 29 15 28 24 27 35 26 47 26 00 25 13 24 26 23 41 22 55 22 10 21 26 20 42 20 30 27 53 27 05 26 18 25 32 24 46 24 00 23 15 22 32 21 49 21 05 20 21 19 4° 30 40 26 28 25 42 24 57 24 13 23 28 22 45 22 02 20 44 21 19 20 38 *g 5 l 19 16 18 35 40 50 24 58 24 14 23 32 22 49 22 06 21 25 20 04 19 25 18 46 IS 07 17 29 50 10 OO 23 25 22 43 22 02 21 22 20 42 20 02 19 24 18 46 18 09 17 32 16 56 16 19 10 00 10 21 47 21 08 20 29 19 5i 19 13 18 36 18 00 17 25 16 50 16 14 15 41 15 07 10 20 20 05 19 28 18 51 18 16 17 41 17 °7 16 33 16 01 15 28 14 56 M 24 13 54 20 30 18 18 17 43 17 10 16 38 16 05 15 35 15 °3 14 33 14 04 13 34 13 05 12 37 30 40 16 27 15 56 15 25 14 56 14 27 13 59 13 31 13 °3 12 36 12 10 11 43 11 18 40 50 . 14 33 14 °5 13 38 13 12 12 45 12 20 11 55 11 31 II 07 id 43 10 20 9 58 50 11 00 12 34 12 10 11 47 11 24 11 02 10 40 10 18 9 57 9 35 9 15 8 55 8 36 11 00 10 10 35 10 14 9 53 9 34 9 15 8 56 8 38 8 20 8 03 7 46 7 28 7 12 10 20 8 31 8 14 7 58 7 42 7 27 7 11 6 56 6 42 6 28 6 14 6 01 5 47 20 30 6 26 6 12 6 00 5 48 5 36 5 25 5 14 5 °3 4 53 4 42 4 31 4 21 30 40 4 J 7 4 °9 4 01 3 52 3 45 3 37 3 29 3 23 1 3 15 3 °8 3 02 2 55 40 50 2 09 2 04 2 01 1 57 1 53 1 49 1 45 1 41 1 38 ' 35 1 31 1 28 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the 'tabulated azimuth is to be taken for the required true bearing. 20 AZIMUTH OR TRUE BEARING. LATITUDE 3". DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 3° Hour Angle. Ii. O 11 12 in. 00 10 20 30 40 50 00 10 20 SO 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 60° OO I 29 2 59 4 27 5 54 7 20 845 10 09 II 30 12 49 14 Ob 15 20 16 32 17 41 I847 19 49 20 49 21 47 22 40 23 31 24 IS 25 02 25 44 26 22 2656 27 29 27 57 28 23 28 46 29 06 29 23 29 36 29 47 29 54 30 00 30 02 61° 30 02 29 58 29 53 29 44 29 32 29 17 29 00 28 39 28 16 27 5° 27 22 26 49 26 15 25 3° 24 57 24 14 23 28 22 40 21 49 20 54 19 58 18 s8 17 56 16 51 15 44 14 34 13 23 12 09 10 S3 9 3° 8 16 656 5 34 4 " 2 48 1 24 o 00 00 1 26 2 51 4 16 5 40 7 03 8 24 9 44 11 02 12 19 13 33 14 44 15 54 17 00 18 03 19 05 20 03 20 58 21 50 22 39 23 25 ,24 09 24 49 25 26 26 00 26 31 27 00 27 25 27 47 28 06 28 23 28 36 2847 2855 29 00 29 02 28 59 2853 2844 28 32 28 18 28 01 27 41 27 19 2654 26 25 25 55 25 21 24 45 24 05 23 24 22 39 21 52 21 02 20 09 19 15 18 17 17 16 16 13 15 °9 14 02 12 53 II 42 10 29 9 13 7 57 6 40 5 21 4 01 2 41 62° 4 °5 5 25 6 45 8 03 9 20 10 35 11 49 13 00 14 09 15 15 16 20 17 21 18 21 19 16 20 10 21 00 63° 00 1 19 2 37 3 54 5 12 6 29 7 43 8 57 10 08 11 19 12 28 13 34 14 38 15 4° 16 39 17 3° 18 30 19 22 20 II 20 58 21 41 22 22 64° 23 54 23 00 24 30 23 35 25 04 24 08 25 34 24 37 26 02 25 04 26 26 25 27 26 48 25 49 27 07 26 08 27 23 26 23 27 37 26 37 27 47 26 47 27 55 26 54 28 00 27 00 28 02 27 02 28 02 27 02 27 59 26 59 27 53 26 53 27 45 26 45 27 33 26 34 27 20 26 21 27 03 26 05 26 44 25 46 26 22 25 25 25 57 25 01 25 3° 24 34 25 01 24 06 24 27 23 33 23 52 22 59 23 15 22 22 22 33 21 43 21 50 21 01 21 05 20 17 20 16 19 30 19 25 18 41 18 32 17 49 17 35 16 55 1° 37 15 58 15 37 14 58 14 34 14 00 13 29 12 58 12 22 " 53 « 15 10 47 10 03 9 4° 8 52 8 30 7 38 7 20 6 24 6 09 5 09 4 5° 3 53 3 43 2 35 2 29 1 17 1 14 00 00 I 15 2 30 3 45 4 59 6 II 7 23 8 33 9 42 10 50 II 5° 12 59 14 02 15 00 15 * 16 53 17 45 18 35 19 22 20 07 20 49 21 29 22 05 22 40 23 II 23 40 24 06 24 30 24 51 25 08 25 24 25 37 25 4° 25 54 25 59 26 02 26 01 25 58 25 54 25 45 25 35 25 22 25 °7 24 48 24 28 24 °4 23 38 23 11 22 40 22 07 21 31 20 52 20 12 19 29 18 44 17 57 17 06 16 15 15 20 14 24 13 26 12 26 11 24 10 21 9 15 8 10 7 02 5 53 4 44 3 33 2 23 1 11 00 65° 1 12 2 23 3 34 4 45 5 55 7 03 8 n 9 17 10 21 11 25 12 26 13 25 14 22 15 18 16 10 17 00 17 49 1835 19 18 19 59 20 37 21 12 21 45 22 16 22 44 23 10 23 32 23 52 24 10 24 25 24 38 24 47 24 54 25 00 25 02 25 02 24 59 24 54 24 46 24 36 24 24 24 09 23 51 23 31 23 09 22 44 22 17 21 15 20 40 20 03 19 24 18 43 17 59 17 13 16 26 15 35 14 43 13 48 12 53 II 55 10 56 9 54 852 7 49 6 45 5 38 4 31 3 24 2 17 1 08 00 1 08 2 16 3 24 4 31 5 38 6 44 7 49 851 9 53 10 54 11 52 12 49 13 44 14 36 15 28 16 16 17 02 17 46 18 28 19 07 • 19 45 20 19 20 51. 21 20 21 48 22 12 22 34 22 54 23 n 23 27 23 38 23 48 23 55 23 59 24 02 24 01 24 00 23 55 23 47 23 37 23 25 23 10 22 54 22 35 22 12 21 48 21 22 20 54 20 23 19 49 19 14 18 36 17 57 17 14 16 30 15 43 14 55 14 06 13 14 12 19 II 24 10 28 9 29 8 29 7 28 6 27 5 24 4 19 3 15 2 11 1 05 00 67° 00 1 05 2 10 3 15 4 19 5 23 6 25 7 26 8 27 9 26 10 23 11 19 12 14 13 06 13 57 14 45 15 32 16 17 1° 59 17 39 18 17 18 52 19 26 19 5° 20 25 20 51 21 15 21 37 21 56 22 12 22 26 22 38 22 47 22 54 22 59 23 02 23 02 22 59 22 54 22 48 22 39 22 27 22 12 21 56 21 37 21 17 20 53 20 28 20 00 19 31 18 58 18 24 17 48 17 10 16 29 15 47 15 02 14 16 13 28 12 38 11 47 10 53 9 59 9 03 8 07 7 08 6 09 5 09 4 08 3 06 2 05 68° 1 02 2 04 3 05 4 06 5 06 6 06 7 05 8 03 8 59 9 53 10 47 11 39 12 29 13 17 14 04 14 49 15 31 16 12 16 50 17 27 18 00 18 33 19 02 19 30 19 55 20 18 2038 20 57 21 14 21 27 21 38 21 48 21 54 22 00 22 01 22 02 21 59 21 55 21 48 21 39 21 27 21 15 20 59 20 40 20 20 19 58 19 33 19 07 18 39 18 07 17 34 17 00 16 23 15 44 15 03 14 22 13 3° 12 51 12 04 11 14 10 24 9 32 8 38 7 44 6 48 5 51 4 54 3 56 2 57 I 59 o 59 o 00 69° o 00 58 2 5 6 3 53 4 51 5 48 6 44 7 38 832 9 24 10 15 11 04 11 52 12 38 13 23 14 05 14 46 15 25 16 02 16 37 17 10 17 40 18 09 18 35 19 00 19 21 19 41 20 00 20 15 20 29 20 40 20 49 20 55 20 59 21 02 21 02 20 59 20 56 20 49 20 40 20 29 20 17 20 02 19 44 19 25 19 03 18 40 18 15 17 47 17 17 16 46 16 13 15,37 15 00 14 21 13 41 12 59 12 14 II 29 10 42 9 54 9 °4 8 13 7 21 6 28 5 34 4 40 3 45 2 49 1 53 o 56 o 00 70° o 00 55 1 51 2 46 3 42 4 36 ■5 29 6 22 7 14 8 04 836 9 43 10 30 11 15 11 59 12 42 13 23 14 02 1438 15 13 15 47 16 18 16 48 17 16 17 40 18 04 18 25 18 44 19 02 19 16 19 29 19 39 19 48 19 55 20 00 20 01 20 02 19 59 19 55 19 50 19 41 19 31 19 18 19 04 1847 18 29 18 08 17 46 17 22 1656 16 27 15 57 15 25 14 51 14 16 13 39 II 38 10 55 10 09 9 24 8 37 7 48 6 59 6 09 5 17 4 26 3 34 2 40 I 47 ° 53 o 00 Hour Angle. Ii. O lO 11 12 111. OO 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing. 21 AZIMUTH OR TRUE BEARING. LATITUDE 4 o t DECUNATION- -SAME NAME AS— LATITUDE. ' LATITUDE 4°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. m. o / t / / / / / / / / / / Ii. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 30 40 50 6 39 6 18 5 58 5 4i 5 25 5 09 4 55 4 43 4 30 4 18 -4 08 3 58 10 13 06 12 26 11 48 11 14 1° 43 15.48 10 13 9 4° 9 21 . 856 8 34 8 14 7 53 20 19 12 18 15 17 22 16 34 15 °5 14 26 13 49 13 15 12 43 12 12 " 43 30 24 49 23 4° 22 34 ■ 21 33 20 36 19 44 18 54 18 07 17 23 16 41 16 03 15 25 40 29 5° 28 35 27 21 26 11 25 °5 24 04 23 °5 22 10 21 18 20 29 19 41 18 57 50 1 00 . 10 20 30 40 50 34 29 33 03 31 42 3° 25 29 12 28 03 26 58 25 56 24 58 24 02 23 °9 22 17 1 00 38 32 37 01 35 3° 34 15 32 57 31 43 3° 33 29 27 28 22 27 22 26 23 25 27 10 42 05 40 34 39 °5 37 41 36 20 35 04 33 49 32 39 31 31 30 26 29 23 28 23 20 45 13 43 41 42 12 40 46 39 23 38 04 36 48 35 35 34 24 33 16 32 11 31 °6 30 47 58 46 26 44 57 43 31 42 08 40 48 39 3° 38 15 37 02 35 52 34 45 33 39 40 59 23 48 52 47 24 45 58 44 34 43 14 41 56 40 39 39 26 38 15 37 °5 35 57 50 2 00 10 52 3° 51 01 49 33 48 09 46 46 45 26 44 07 42 51 41 36 40 25 39 14 38 05 2 00 54 21 52 54 51 28 5° °5 48 43 47 24 46 06 44 5° 43 35 42 23 41 11 40 01 10 20 30 40 50 55 59 54 35 53 11 51 48 50- 28 49 1° 47 52 46 36 45 22 44 1° 42 58 41 48 20 57 26 56 04 54 4! 53 21 52 02 5° 45 49 28 48 12 46 59 45 47 44 35 43 26 30 58 42 57 21 56 02 54 43 53 26 52 °9 5° 54 49 4° .48 26 47 15 46 03 44 54 40 59 50 58 31 57 13 55 56 54 4° 53 25 52 11 5° 58 49 45 48 34 47 23 46 14 50 3 00 60 49 59 33 58 16 57 0° 55 46 54 33 53 19 52 °7 5° 55 49 45 48 35 47 26 3 OO 10 61 42 60 26 59 12 57 58 5° 45 55 32 54 21 53 1° 5i 59 5° 5° 49 41 48 32 10 20 30 62 28 61 15 60 01 58 49 57 38 56 27 55 16 54 °6 52 56 51 48 5° 39 49 32 20 63 09 61 5S 60 45 59 34 58 24 57 14 56 05 54 56 53 47 52 39 51 32 5° 24 30 40 63 45 62 34 61 24 60 14 59 °5 57 56 56 48 55 4° 54 32 53 26 52 19 51 13 40 50 64 16 63 07 61 58 60 50 59 42 58 34 57 27 56 19 55 12 54 06 53 °° 51 54 50 4 OO 64 43 63 34 62 27 61 20 60 13 59 °7 58 00 56 54 55 48 54 42 53 37 52 31 4 00 10 65 05 63 59 62 52 61 46 60 41 59 35 58 3° 57 24 5° 19 55 14 54 °9 53 °5 lO 20 65 24 64 19 63 14 62 09 62 28 61 04 59 59 58 55 57 5° 56 46 55 4i 54 38 53 33 20 30 65 41 64 37 63 32 61 24 60 20 59 16 58 13 57 °8 56 05 55 °i 53 58 30 40 65 54 64 50 63 46 62 43 61 40 60 37 59 34 58 31 57 28. 56 24 55 22 54 19 40 50 66 04 65 02 °3 58 • .62 56 61 54 60 51 59 49 584° 57 43 56 4i 55 39 54 36 50 5 00 66 n 65 10 64 08 63 06 62 03 61 01 59 59 58 57 57 56 56 54 55 52 54 5° 5 00 10 66 17 65 15 64 13 63 12 62 10 61 09 60 08 59 °6 58 05 57 '°4 56 02 55 S 49 02 48 02 47 00 45 5? 44 59 43 58 42 59 20 30 54 11 53 I" 52 10 51 °9 49 °8 48 07 47 °7 46 06 45 05 44 05 43 04 30 40 54 11 53 12 52 11 51 11 50 10 49 1° 48 09 47 09 46 09 45 08 44 08 43 07 40 50 54 09 53 °9 52 09 51 09 50 08 49 °9 48 08 47 08 46 07 45 08 44 08 43 08 50 6 00 54 °4 53 °4 52 05 51 04 50 04 49 5° 49 °5 48 04 47 04 46 04 45 °4 44 05 43 04 6 00 10 53 55 5= 56 51 56 5° 55 48 57 47 57 • 4° 56 45 57 44 58 43 58 42 58 IO 20 53 44 52 44 51 45 5° 45 49 45 48 46 47 47 46 46 45 47 44 47 43 48 42 48 20 30 53 29 52 3° 51 31 5° 31 49 3i 48 32 47 32 4633 45 33 44 34 43 35 43 18 42 35 30 40 53 11 52 13 51 13 5° 13 49 14 48 52 48 14 47 15 46 16 45 1° 44 17 42 19 40 50 52 50 51 51 50 52 49 53 47 54 46 54 45 55 44 5° 43 57 42 59 41 59 50 1 OO 52 26 51 27 50 27 49 28 48 29 47 3° 46 31 45 32 44 33 43 34 42 35 41 37 7 OO 10 51 58 5° 59 50 00 49 00 48 01 47 °3 46 04 45 °4 44 06 43 °8 42 09 41 10 10 20 . 51 27 50 28 49 29 48 29 47 3° 46 32 45 33 44 34 43 36 42 37 41 39 40 40 20 30 50 53 49 53 48 54 47 55 46 56 45 57 44 58 44 00 43 01 42 03 41 05 40 07 30 40 50 14 49 14 48 15 47 16 46 17 45 18 44 20 43 22 42 24 41 25 40 29 39 31 40 50 49 3i 48 31 47 32 46 33 45 35 44 37 43 38 42 40 41 42 40 44 39 47 38 50 50 8 00 48 44 47 45 46 46 45 47 44 49 43 5° 42 52 41 54 40 5° 40 00 39 03 38 05 8 OO 10 A l 5 i 4° 54 45 55 44 5° 43 57 43 0° 42 02 41 04 40 07 39 " 38 15 37 17 10 20 46 58 45 59 45 00 44 °l 43 °2 42 05 41 07 40 10 39 14 38 17 37 22 36 26 20 30 45 57 44 59 43 59 43 °l 42 03 41 06 4008 39 12 38 16 37 20 3° 25 35 31 30 40 44 52 43 53 42 55 41 56 40 59 40 02 39. °5 38 09 37 H 3° 19 35 24 34 3° 40 50 43 4i 42 42 41 44 40 46 39 49 38 53 37 57 37 02 36 08 35 13 34 20 33 2° 50 9 00 42 24 41 27 40' 29 39 32 38 34 37 39 36 44 35 5° 34 55 34 °3 33 10 32 17 9 OO 10 41 02 40 05 39 °7 38 10 37 15 36 21 35 26 34 32 33 39 32 47 31 5° 31 °5 IO 20 39 33 3836 37 40 36 44 35 49 34 55 34 93 33 10 32 18 31 28 30 38 29 46 20 30 37 58 37 01 36 06 35 i' 34 18 33 26 32 33 31 42 30 52 30 02 29 13 28 25 30 40 36 15 35 2° 34 27 33 33 32 4° 31 49 3° 59 30 09 29 20 28 32 27 4° 26 58 40 50 34 26 33 32 32 40 31 48 3° 57 30 08 29 19 28 31 27 43 2658 26 13 25 27 50 10 00 32 29 • 31 37 30 46 29 5° 29 08 28 20 27 33 26 47 26 02 25 18 24 35 23 52 10 00 10 3° 25 29 34 28 46 27 58 27 11 26 26 25 41 24 58 24 15 23 33 22 52 22 12 10 20 28 12 27 25 26 39 25 53 25 08 24 26 23 44 23 02 22 22 21 43 21 05. 20 27 20 30 25 52 25 07 24 24 23 41 23 00 22 20 21 41 21 02 20 25 19 49 19 14 18 39 30 40 23 23 20 48 22 42 22 02 21 23 20 45 20 08 19 33 18 57 18 23 17 50 17 18 16 46 40 50 20 11 19 34 1859 18 25 17 51 17 19 16 49 16 17 15 47 15 18 14 49 50 11 OO 18 05 17 32 16 59 '16 28 15 58 15 29 15 00 14 32 14 06 13 40 13 14 12 49 11 00 10 15 16 14 47 14 20 13 52 13 27 13 02 1238 12 14 11 51 II 29 11 07 10 46 . 10 20 12 21 11 57 11 35 11 13 10 51 10 31 10 II 9 52 9 33 9 15 858 8 41 20 30 9 20 9 02 844 8 28 8 12 7 57 741 7 26 7 13 658 ° 45 33 30 40 6 16 6 03 5 52 5 40 5 30 5 19 5 09 4 59 4 50 440 4 32 4 22 40 50 3 09 3 02 2 56 2 51 2 45 2 40 2 34 2 30 2 25 2 20 2 16 2 12 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. . 23 AZIMUTH OR TRUE BEARING. LATITUDE 4°. DECUNATION- -SAME NAME AS-LATITUDE.' LATITUDE 4°. Hour Angle. 48° 40° 50° 51° 52° 53° 54° . 55° 56° 57° 58° 59° Hoorn Agle. ]». in. o / / / / / / / / / 1 / / li. hi. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 2 25 2 1Q 2 14 2 09 2 04 2 00 1 55 1 51 1 46 1 42 138 1 35 10 20 448 4 38 4 27 1 17 6 25 4 08 6 10 3 58 3 50 3 4i 3 33 . 3 24 3 1° 3 °9 20 30 40 50 30 7 10 6 54 6 39 5-5* 5.43 5 30 5 18 5 05 4 53 4 41 40 9 29 9 09 849 8 30 8 11 7 52 7 35 7 18 7 01 6 45 6 29 6 14 50 11 45 11 20 10 56 10 32 10 09 9 47 9 25 9 04 844 8 24 8 04 7 45 1 00 I3 5f 13 29 13 00 12 31 12 05 13 58 11 38 11 12 10 48 10 24 10 00 9 37 9 14 1 00 10 , 16 06 15 33 15 00 14 28 13 27 12 58 12 29 12 01 11 33 11 07 10 41 IO 20 18 10 17 32 1656 16 21 15 46 15 12 14 40 ID 19 14 07 13 36 13 05 12 36 12 06 20 30 20 09 19 28 18 48 18 09 17 31 16 55 15 42 15 08 14 35 14 02 13 29 30 40 50 40 22 02 21 19 20 35 19 53 19 12 18 32 17 53 17 15 18 43 l6 37 16 01 15 25 16 45 14 49 16 07 50 23 49 23 03 22 17 21 32 20 48 20 05 19 24 18 03 17 23 2 00 25 31 24 43 23 54 23 07 22 21 21 36 20 52 20 08 19 25 18 43 18 03 17 22 2 OO lO 27 07 28 37 26 16 25 26 24 36 26 02 •23 48 23 01 22 J4 21 29 20 44 19 59 19 16 18 32 IO SO 27 45 29 08 26 53 25 II 24 22 23 34 22 45 21 58 21 12 20 26 19 4i 20 30 30 03 28 15 27 21 26 29 25 38 24 48 23 59 23 09 22 21 21 34 20 46 30 40 40 31 22 30 26 29 3i 28 37 27 43 26 51 25 59 25 07 24 16 23 26 22 37 21 49 50 32 36 31 39 30 43 29 47 28 52 27 58 27 05 26 11 25 20 24 28 23 37 22 47 50 3 00 33 44 32 46 31 49 30 52 29 56 29 02 28 06 27 12 26 20 25 26 24 34 23 42 3 OO lO 34 48 33 49 32 51 31 53 30 56 30 00 29 °4 28 09 27 15 26 20 25 27 24 33 10 20 35 47 34 47 33 49 32 50 31 52 30 55 29 59 29 03 28 06 27 11 26 17 25 22 20 30 36 41 35 41 34 41 33 42 32 44 31 46 30 48 29 52 28 55 2758 27 °3 26 08 30 40 37 29 36 29 35 29 34 30 33 31 32 33 31 34 3° 37 29 39 28 42 27 4° 26 49 40 SO 38 15 37 14 36 14 35 14 34 14 33 15 32 17 31 18 30 20 29 22 28 25 27 27 50 4 00 38 54 37 53 3° 54 35 53 34 53 33 53 32 54 31 55 30 57 29 58 29 01 28 03 4 OO 10 39 31 3830 37 29 36 29 35 29 34 29, 33 29 32 3° 31 31 30 32 29 34 2835 10 20 40 02 39 02 38 01 37 00 36 00 35 00 34 00 33 00 32 01 31 02 3° °3 29 04 20 30 40 31 39 30 38 29 37 28 36 28 35 27 34 28 33 27 32 28 31 28 30 29 29 30 30 40 40 55 39 54 38 53 37 53, 36 52 35 51 34 51 33 52 32 51 31 52 30 52 29 52 40 50 41 16 40 15 39 14 38 13 37 12 36 12 35 12 34 11 33 12 32 11 31 12 30 11 50 5 00 41 34 40 32 39 31 3830 37 30 3° 30 35 29 34 29 .33 28 . 32 28 31 28 30 27 5 OO 10 41 4 6 40 46 39 45 38 45 37 44 36 43 35 43 34 42 ,33 42 32 41 31 42 30 42 10 20 41 57 40 56 39 55 38 55 37 54 36 54 35 54 34 53 33 53 32 52 31 53 3°-52 20 30 42 04 41 03 40 03 .39 01 38 01 37 01 36 01 35 00 34 00 32 59 31 59 30 59 30 40 42 08 41 07 40 07 39 06 3806 37 05 3° 05 35 04 34 °4 33 04 32 04 31 03 40 50 £2 07 41 07 40 07 39 06 38 06 37 07 36 06 35 06 34 0° 33 05 32 06 31 05 50 6 OO 42 04 4i 04 40 04 39 05 38 04 37 04 36 04 35 04 34 04 33 03 32 04 31 04 6 OO 10 41 58 40.59 39 59 3858 37 58 36 59 35 59 34 59 33 59 32 59 32 00 30 59 10 20 41 49 40 49 39 49 38 50 37 50 3 f 5 S 35 51 34 51 33 51 32 52 31 53 30 52 20 30 41 35 4° 37 39 37 38 37 37 38 36 38 35 39 34 40 33 41 32 41 31 42 30 43 30 40 41 20 40 21 39 21 38 22 37 23 36 24 35 25 34 26 33 26 32 28 31 29 30 30 40 50 41 00 40 02 39 03 38 04 37 05 3° 05 35 07 34 09 33 °9 32 11 31 13 30 13 50 7 00 40 38 39 39 38 40 37 42 36 43 35 45 34 4° 33 48 32 50 31 52 30 54 29 55 7 00 10 40 12 39 14 38 15 37 16 36 18 35 20 34 23 33 25 32 27 31 3° 3° 32 29 34 10 20 39 42 38 44 37 4° 36 49 35 50 34 53 33 5° 32 59 32 01 31 04 30 07 29 09 20 30 39 09 38 12 37 14 36 17 35 19 34 22 33 25 32 29 31 32 30 36 29 39 2843 30 40 38 34 37 36 3638 35 42 34 45 33 48 32 52 31 57 31 00 30 04 29 08 28 12 40 50 37 53 36 56 36 00 35 03 34 07 33 11 32 15 31 20 30 24 29 29 2835 27 39 50 8 00 37 °9 36 13 35 18 34 21 33 25 32 31 31 3° 30 41 29 47 28 51 27 58 27 03 8 00 10 36 22 35 27 34 31 33 36 32 41 31 47 3° 53 29 59 29 05 28 11 27 19 26 25 10 20 35 31 34 36 33 41 32 47 31 53 30 59 30 06 29 14 28 20 27 28 26 36 25 43 20 30 34 36 33 42 32 48 31 54 31 01 30 08 29 16 28 24 27 32 26 41 25 51 24 59 30 40 33 37 32 43 31 51 30 58 30 06 29 15 28 23 27 33 26 41 25 51 25 02 24 12 40 50 32 33 31 41 30 50 29 58 29 06 28 16 27 26 26 37 25 48 24 58 24 10 23 21 SO 9 00 31 25 3° 34 29 43 28 54 28 04 27 15 26 26 25 37 24 50 24 02 23 16 22 29 9 00 10 30 14 29 24 28 34 27 46 28 58 26 09 25 23 24 3° 23 49 23 03 22 18 21 33 10 20 28 58 28 09 27 22 26 34 25 48 25 01 24 15 23 31 22 46 22 92 21 17 20 34 20 30 27 38 26 50 26 05 25 19 24 34 23 16 23 49 23 05 22 22 21 39 20 56 20 15 19 32 30 40 26 13 25 27 24 44 23 59 22 33 21 51 21 10 20 29 19 48 19 08 18 28 40 50 24 43 24 01 23 18 22 36 21 55 21 14 20 34 19 55 19 15 18 37 18 00 17 21 50 lO 00 23 11 22 29 21 49 21 09 20 31 IO 5 5 19 14 18 37 18 00 17 23 16 48 16 13 10 00 lO 21 33 20 54 20 16 19 38 19 02 18 26 17 50 17 15 16 41 16 07 15 34 15 00 10 20 19 51 19 14 IS 39 18 04 17 30 1° 57 16 24 15 52 15 20 14 48 14 17 13 46 20 30 18 05 17 31 16 59 16 27 15 56 15 24 14 55 14 25 13 56 13 27 12 59 12 31 30 40 16 15 15 44 15 15 14 4° 14 17 13 5° 13 23 12 56 12 29 12 03 11 38 11 13 40 50 14 22 13 55 13 28 13 03 12 37 12 12 11 48 11 24 II 01 10 35 10 15 9 53 50 11 00 12 26 12 02 11 39 11 16 10 54 10 32 10 12 9 50 9 30 9 10 851 8 31 11 00 10 10 26 10 06 9 46 9 27 9 09 851 832 8 : 5 6 38 7 58 7 41 7 25 7 08 10 20 8 24 8 07 7 S 2 7 37 7 22 7 06 6 52 6 24 6 10 5 57 5 44 20 30 6 20 6 08 5 55 5 44 5 32 5 21 5 10 5 °° 4.49 4 40 4 29 4 19 30 40 4 14 4 06 3 58 3 50 3 42 3 35 3 28 3 21 3 13 3 06 3 00 2 53 40 50 2 08 2 03 1 59 1 55 1 51 1 48 1 44 1 40 1 37 I 33 1 30 1 26 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ' when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearimt. 24 AZIMUTH OR TRUE BEARING. LATITUDE 4°. DECLINATION— SAME NAME AS- LATITUDE. LATITUDE 4°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. Ik. in. o / / / / / / / / / / / Ii. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 30 40 50 10 i 30 1 27 i 23 1 19 •1 '5 1 12 1 09 2 18 1 06 1 03 . 59 56 20 3 01 2 53 2 46 2 39 2 31 2 24 2 11 2 05 1 58 1 52 30 4 30 4 18 4 08 3 57 3 47 . 3 3° 3 26 3 17 3 07 2 57 2 47 40 5 59 5 43 5 29 5 15 5 01 448 4 34 4 21 4 09 3 56 3 43 50 7 25 7 °7 6 50 6 32 6 15 5 58 5 42 5 25 5 10 4 53 4 37 1 00 852 8 30 8 09 7 48 7 27 7 07 6 48 6 29 6 09 i^l ? 31 1 00 lO 20 30 40 50 lO 10 15 9 5i 9 27 9 °3 8 38 8 15 7 52 7 30 7 09 6 46 6 25 20 11 38 11 09 10 42 10 15 9 48 9 21 8 56 831 8 06 I 4 ? 7 17 30 12 57 12 26 " 55 11 26 10 56 10 27 9 59 9 30 9 03 8 36 8 09 40 14 14 13 4i 13 07 12 35 12 02 11 3 1 11 00 10 28 9 58 9 28 8 59 50 15 3° 14 53 14 16 13 41 13 06 12 32 11 58 11 24 10 52 10 19 .9 46, 2 00 16 42 16-03 15 24 14 46 14 08 13 32 12 55 12 19 11 44 11 09 10 34 2 00 10 20 30 40 50 10 17 51 17 09 16 28 15 48 15 07 14 28 13 50 13 12 12 34 11 57 11 19 20 18 57 18 13 17 3° 16 48 16 05 15 24 H43 14 03 13 22 12 43 12 04 30 20 00 19 14 18 29 17 45 17 00 16 17 15 34 14 52 14 10 13 28 12 47 40 21 00 20 12 19 26 18 39 17 53 17 08 16 23 >5 39 14 54' 14 10 13 27 50 21 57 21 08 20 19 19 31 1843 17 5° 17 09 16 23 15 37 14 51 H 05 3 00 22 50 21 59 21 09 20 20 19 30 18 41 17 54 17 05 16 17 15 30 14 43 3 OO 10 20 30 40 10 23 40 22 49 21 58 21 06 20 15 19 25 18 36 17 45 16 56 16 07 15 18 20 24 29 23 35 22 42 21 5b 20 58 20 05 19 14 18 23 17 32 16 42 15 52 30 25 13 24 17 23 24 22 30 21 36 20 43 19 51 18 58 18 07 17 14 16 23 40 25 53 24 58 24 02 23 08 22 13 21 18 20 26 19 32 18 39 17 45 16 52 50 26 31 25 34 24 38 23 43 22 47 21 52 20 57 20 03 19 °8 78 14 • 17 20 50 4 00 27 05 26 08 25 12 24 15 23 18 22 22 21 27 20 30 19 3° 18 40 17 45 4 OO - lO 27 37 26 39 25 42 24 44 23 47 22 50 21 53 20 57 20 00 19 04 18 08 10 20 28 05 27 06 26 09 25 10 24 12 23 H 22 18 21 20 20 23 19 26 18 29 20 30 28 30 2731 26 32 25 34 24 3° 23 37 22 40 21 41 20 43 19 46 18 48 30 40 40 28 52 27 53 26 54 25 54 24 55 23 57 22 59 21 59 ,21 01 20 03 19 04 50 29 12 28 11 27 13 26 13 25 14 24 14 23 15 22 16 21 18 20 18 19 18 50 5 00 29 28 28 28 27 28 26 28 25 28 24 29 23 30 22 30 21 31 20 32 19 32 5 00 10 29 41 28 41 27 41 26 40 25 41 24 41 23 42 22 41 21 42 20 42 19 43 10 20 20 29 5' 28 51 27 51 26 51 25 51 24 50 23 51 22 50 21 51 20 51 19 51 30 29 58 28 58 27 58 26 58 25 57 24 57 23 58 22 57 21 57 20 57 19 5° 30 40 3° °3 29 02 28 02 27 02 26 02 25 02 24 02 23 02 22 02 21 01 20 01 40 50 30 04 29 05 28 04 27 °4 26 04 25 04 24 04 23 03 22 03 21 03 20 03 50 6 00 30 04 29 °4 28 03 27 03 26 03 25 03 24 04 23 03 22 02 21 03 20 02 6 OO 10 30 00 29 00 28 00 27 00 26 00 25 00 24 01 23 00 22 01 21 01 20 00 lO 20 29 53 28 53 27 54 26 54 25 54 24 55 23 55 22 55 21 56 20 56 19 56 20 30 29 43 28 43 27 44 26 45 25 46 24 47 23 48 22 48 21 49 20 49 19 50 30 40 29 3° 28 31 27 32 26 34 -25 34 24 35 23 37 22 38 21 39 20 40 19 4i 40 50 29 16 28 16 27 18 26 20 25 21 24 23 23 25 22 26 21 27 20 28 '9 30 50 7 00 2857 27 59 27 01 26 03 25 05 24 07 23 10 22 12 21 14 20 16 19 17 7 OO lO 28 37 27 39 26 41 25 44 24 47 23 49 22 52 21 55 20 58 20 00 19 03 10 20 28 13 27 15 26 19 25 22 24 25 23 28 22 33 21 35 20 39 19 42 18 46 20 30 27 4° 26 50 25 54 25 26 24 58 24 02 23 06. 22 II 21 14 20 19 19 23 18 27 30 40 27 16 26 22 24 31 23 3° 22 41 21 46 20 51 19 56 19 01 18 07 40 50 26 45 25 50 24 5° 24 01 23 07 22 13 21 19 20 25 19 3i 18 38 17 44 50 8 00 26 10 25 17 24 23 23 3° 22 3C 21 43 20 50 19 57 1904 18 12 17 20 8 OO 10 25 32 24 39 23 47 22 55 22 02 21 II 20 19 19 27 18 36 17 45 17 03 10 20 24 51 24 00 23 °9 22 18 21 26 20 36 19 46 18 55 18 05 17 15 16 25 20 30 24 09 23 19 22 28 21 38 20 48 19 59 19 11 18 20 17 32 16 43 15 55 30 40 23 22 22 33 21 45 20 56 20 07 19 20 18 33 17 44 16 57 16 09 15 22 40 50 22 34 21 46 20 59 20 11 19 24 18 38 17 52 17 06 16 20 15 35 14 49 50 9 OO 21 42 20 56 20 10 19 24 18 38 17 54 17 09 16 25 15 4i 14 57 14 14 9 OO 10 20 47 20 04 19 19 18 35 17 51 17 08 16 26 15 42 15 01 14 18 13 36 10 20 19 50 19 08 18 25 17 43 17 01 16 20 15 40 14 58 14 17 13 37 12 57 20 30 18 51 18 10 17 30 16 50 16 10 15 30 14 51 14 13 13 34 12 55 12 17 30 40 17 49 17 10 16 31 15 53 15 15 14 38 14 01 13 24 12 48 12 11 11 35 40 50 16 44 16 07 15 31 14 55 14 19 13 44 13 09 " 34 12 00 II 26 10 51 50 10 00 15 38 15 "3 14 29 13 54 13 21 12 49 12 16 " 43 11 11 10 39 10 08 10 00 10 14 28 13 50 13 24 12 53 12 21 " 51 11 20 10 51 10 21 9 5i 9 22 lO 20 13 16 12 47 12 18 II 48 11 20 10 51 10 24 9 5° 9 28 9 01 8 34 20 30 12 03 11 3 6 11 09 1° 43 10 17 9 49 2 2 § 9 00 836 8 11 7 46 30 40 10 47 10 23 10 00 9 35 9 12 8 49 8 26 8 04 7 41 7 19 6 57 40 50 9 31 9 °9 8 48 8 27 1 06 7 46 7 25 7 05 6 46 6 27 6 06 50 11 00 8 12 7 53 6.36 7 35 7 17 6 59 6 41 6 24 6 06 5 49 5 32 5 16 11 OO 10 6 52 6 21 6 06 5 5° 5 3° 5 22 5 07 4 52 4 39 4 25 10 20 5 32 5 19 5 06 4 54 4 42 4 3° 4 18 4 06' 3 55 3 43 3 32 20 30 4 09 3 59 3 5° 3 41 3 32 3 23 3 14 3 0° 2 57 2 49 2 39 30 40 2 47 2 40 2 34 2 27 2 21 2 16 2 10 2 04 158 1 53 1 47 40 50 1 23 1 21 1 17 I 14 1 11 1 08 I 05 1 02 59 56 54 50 12 OO 00 . 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. •2b AZIMUTH OR TRUE BEARING. LATITUDE 5 o t DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 5°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. II. 1U. o / / / a t / / / / / / / / ■•'" li. m. 00 00' 00 00 00 00 ' 00 00 00 00 00 00 00 00 10 6 59 ° 35 •615 5 55 5 37 5 22 5'°7 4 52 4 39 4 28 4 16 4 05 10 20 13 44 13 00 12 19 11 42 11 08 10 36 10 07 9 40 9 15 851 8 28 8 07 20 30 20 05 19 04 18 06 17 13 16 25 15 4° 14 57 14 18 13 42 13 06 12 34 12 03 30 40 25 54 24 38 23 28 22 23 21 22 20 25 19 32 18 43 17 5° 17 12 16 30 15 50 40 50 31 07 29 42 28 23 27 07 25 57 24 52 23 5° 22 52 21 56 21 04 20 14 19 28 50 1 00 35 45 34 14 32 48 31 26 30 09 28 57 27 48 26 43 25 40 24 42 23 46 22 53 1 00 lO 39 50 38 15 36 45 35 19 33 57 32 40 31 26 3° 15 29 08 28 05 27 03 26 05 10 20 43 24 41 47 40 15 38 47 37 22 36 01 34 45 33 30 32 19 31 ji 30 05 29 04 20 30 30 46 3' 44 53 43 21 41 51 40 26 39 °3 37 44 36 27 35 14 34 03 32 55 31 48 40 49 13 47 38 46 05 44 3° 43 °9 41 46 40 26 39 °8 37 53 36 40 35 29 34 21 40 50 51 35 50 00 48 30 47 01 45 35 44 12 42 5° 41 32 40 16 39 01 37 50 36 40 50 2 OO 53 37 52 06 50 37 49 1° 47 45 46 22 45 °I 43 43 42 26 41 11 39 58 38 48 2 00 lO 55 26 53 57 52 30 51 03 49 39 48 18 4658 45 39 44 23 43 08 4i 55 40 43 10 20 57 oi 55 34 54 09 52 44 51 22 50 02 48 42 47 24 46 09 44 54 43 41 42 30 20 30 58 24 5° 59 55 37 54 14 52 53 51 34 50 16 48 59 47 44 46 30 45 16 44 06 30 40 59 37 58 15 56 54 55 34 54 15 52 57 51 4° 50 24 49 10 47 56 46 44 45 32 40 50 60 41 59 21 58 02 56 43 55 26 54 1° 52 54 51 39 50 26 49 13 48 02 46 51 SO 3 00 61 38 60 19 59 03 57 46 56 29 55 15 54 °i 52 47 51 35 50 23 49 12 48 02 3 00 10 62 27 61 11 59 56 58 4° 57 26 56 12 55 °° 53 48 52 37 51 25 5° 15 49 06 10 20 63 10 61 56 60 43 59 28 58 16 57 °4 55 53 54 4i 53 31 52 21 51 12 50 03 20 30 63 48 62 35 61 23 60 11 59 °° 57 5° 56 39 55 3° 54 20 53 11 52 02 5° 55 30 40 64 20 63 10 61 59 60 49 59 38 58 29 57 50 56 II 55 03 53 5° 52 47 51 40 40 50 64 48 63 39 62 30 61 22 60 12 59 °4 57 57 5° 49 55 41 54 34 53 27 52 21 50 4 00 65 13 64 04 °z 57 61 48 60 41 59 35 58 27 57 20 56 14 55 08 54 02 52 57 4 OO 10 °5 34 64 26 63 20 62 13 61 07 60 00 58 55 57 48 5° 43 55 38 54 33- 53 27 10 20 °5 50 64 44 63 39 62 34 61 27 60 22 59 18 58 13 57 '07 56 03 54 59 53 54 20 30 66 03 6458 °3 55 62 49 61 45 60.41 59 3° 58 32 57 29 5° 25 55 20 54 17 30 40 66 14 65 10 64 07 63 °3 61 59 60 56 59 53 58 49 57 46 5° 43 55 39 54 3° 40 50 66 22 °5 19 64 16 63 13 62 10 61 07 60 05 59 °2 58 00 56 57 55 54 54 52 50 5 00 66 28 65 25 64 22 63 20 62 17 61 16 60 14 59 11 58 09 57 08 56 05 55 03 5 00 lO' 66 29 °5 27 64 26 63 24 62 22 61 22 60 20 59 18 58 16 57 15 56 13 55 12 lO 20 66 30 65 28 64 27 63 ?6 62 25 61 23 60 23 59 21 58 20 57 19 56 18 55 17 20 30 66 27 65 26 64 26 63 25 62 24 61 24 60 23 59 21 58 21 57 20 56 19 55 19 30 40 66 22 65 22 64 21 63 20 62 21 61 20 60 20 59 19 58 19 57 19 56 18 55 17 40 50 66 15 65 15 64 14 63 14 62 15 61 14 60 15 59 14 58 14 57 14 56 13 55 13 50 6 00 66 04 65 05 64 05 °3 05 62 05 61 06 60 06 59 °° 58 06 57 06 5° 05 55 05 6 00 lO 65 53 64 53 °3 53 62 53 61 53 6° 55 59 55 58 55 57 55 56 55 55 55 54 56 10 20 °5 38 °4 39 63 39 62 39 61 40 60-40 59 4i 58 41 57 41 56 42 55 42 54 42 20 30 05 21 64 21 63 22 62 22 61 23 60 23 59 24 58 24 . 57 24 56 25 55 25 54 26 30 40 65 02 64 02 63 02 62 03 61 03 60 02 59 04 58 04 57 05 56 05 55 06 54 06 40 50 64 39 °3 39 62 40 61 40 60 40 59 4i 58 41 57 41 56 4i 55 43 54 43 53 43 50 7 00 64 15 °3 15 62 15 61 14 60 15 59 15 58 15 57 16 56 16 55 17 54 17 53 18 7 00 10 63 47 62 46 61 46 60 46 - 59 4° 58 46 57 46 56 46 55 46' 54 47 53 48 52 48 10 20 63 16 62 15 61 14 60 14 59 14 58 14 57 13 5° 14 55 13 54 15 53 15 52 15 51 38 20 30 62 42 61 41 60 40 59 38 5838 57 38 5638 55 37 54 38 53 38 52 38 30 40 62 04 61 03 60 02 59 01 57 59 56 59 55 58 54 58 53 58 52 59 51 59 59 59 40 50 61 24 60 21 59 20 58 18 57 17 56 16 55 16 54 15 53 14 52 14 51 15 50 15 50 8 00 60 39 59 35 58 34 57 32 56 3° 55 29 54 27 53 26 52 26 51 26 50 26 49 26 8 00 10 59 49 5846 57 44 ' 56 41 55 38 54 37 53 3° 52 34 51 34 50 34 49 34 48 33 10 20 5856 57 52 5° 49 55 46 54 43 53 41 52 4° 51 38 50 37 49 37 48 37 47 3° 20 30 57 58 5° 53 55 49 54 46 53 43 52 40 51 38 5° 36 49 35 48 34 47 34 46 35 30 40 56 53 55 48 54 44 53 40 52 37 51 34 5° 32 49 29 48 28 47 28 46 27 45 28 40 50 55 44 54 38 53 33 52 27 51 24 50 21 49 19 48 16 47 15 46 15 45 15 44 15 50 9 OO 54 28 53 20 52 15 51 10 50 06 49 °2 48 00 46 57 45 57 44 56 43 56 42 57 9 OO 10 53 °4 51 57 50 51 49 45 48 41 47 37 4° 35 45 33 44 32 43 32 42 32 41 33 10 20 51 33 5° 25 49 19 48 13 47 °8 46 05 45 03 44 01 43 00 42 01 41 02 40 04 20 30 49 54 48 45 47 39 46 33 45 29 44 25 43 23 42 22 41 21 40 22 39 24 38 27 30 40 48 05 46 56 45 49 44 44 43 4° 42 37 41 35 40 34 39 35 3836 37 39 3° 43 40 50 46 06 44 58_ 43 51 42 45 41 42 4° 39 39 39 38 38 37 40 •3° 43 35 47 34 52 50 10 00 43 56 42 48 41 42 4 56 49 35 48 15 46 57 45 4° 44 26 43 12 20 30 30 59 25 57 58 56 32 55 °9 53 47 52 25 51 06 49 47 48 31 47 14 46 00 44 47 40 60 34 59 10 57 47 56 25 55 °5 53 46 52 27 51 1° 49 54 48 39 47 25 46 12 40 50 61 34 60 13 5852 57 33 56 14 54 56 53 39 52 24 51 °9 49 54 48 41 47 30 50 3 OO 62 27 61 08 59 49 58 32 57 15 55 58 54 43 53 29 52 14 51 °i 49 5° 48 39 3 00 lO 63 13 61 5 6 60 40 59 23 58 08 56 54 55 4° 54 27 53 14 52 02 5° 51 49 40 10 20 63 53 62 38 61 23 60 09 , 5856 57 42 56 3° 55 18 54 °7 52 55 51 46 50 37 20 30 64 27 63 14 b2 02 60 49 59 37 5826 57 14 56 04 54 54 53 44 52 34 51 25 30 40 64 57 63 45 62 35 61 23 60 13 59 °2 57 53 56 44 55 34 54 25 53 17 52 09 40 50 65 22 64 13 63 02 61 53 60 44 59 35 58 26 57 18 56 10 55 °2 53 55 52 47 50 4 OO 65 44 6 4 35 63 26 62 18 61 11 60 02 58 55 57 48 56 41 55 34 54 28 53 21 4 00 lO 66 01 64 54 63 47 62 40 61 33 60 26 59 20 58 15 57 °8 5° 02 54 56 53 51 lO 20 66 15 65 09 64 04 62 58 61 52 60 46 59 4i 5836 57 30 56 25 55 21 54 16 20 30 66 26 65 21 64 17 63 12 62 07 61 02 59 58 58 54 57 49 56 45 55 41 54 37 30 40 66 35 65 31 64 27 63 23 62 19 61 15 60 12 59 °8 58 04 57 °° 55 57 54 53 40 50 66 41 65 37 64 33 63 3i 62 27 61 24 60 22 59 19 58 15 57 12 56 10 55 °7 50 5 OO 66 43 65 4° 64 38 63 35 62 33 61 30 60 28 59 26 58 23 57 22 56 19 55 17 5 OO lO 66 43 65 41 64 40 63 37 62 35 61 34 60 32 59 31 58 28 57 27 56 25 55 24 10 20 66 40 65 40 64 38 63 37 62 35 61 34 60 33 59 32 583° 57 29 56 27 55 27 20 30 66 35 65 35 64 35 63 33 62 33 61 31 60 31 59 31 58 29 57 29 56 27 55 27 30 40 66 29 65 28 64 28 63 28 62 27 61 27 60 26 59 26 58 26 57 24 56 24 55 24 40 50 66 19 65 19 64 19 63 19 62 19 61 19 60 18 59 18 58 18 57 18 56 18 55 18 50 6 OO 66 07 65 07 64 07 63 08 62 08 61 08 60 08 59 °9 58 09 5708 56 09 55 °9 6 OO lO 65 52 64 53 63 53 62 54 61 54 6° 55 59 55 5856 57 55 5656 55 56 54 57 lO 20 65 35 64 37 63 37 62 38 61 38 60 37 59 39 58 39 57 40 56 41 55 41 54 42 20 30 65 15 64 17 63 18 62 18 61 18 60 20 59 18 58 21 57 22 56 22 55 23 54 23 30 40 . 6456 63 55 6256 61 56 60 57 59 58 5858 58 00 57 °° 56 or 55 02 54 °3 40 50 64 31 63 31 62 32 61 32 60 32 59 33 5834 57 34 56 35 55 35 54 37 53 37 50 7 OO 64 04 63 04 62 04 61 04 60 05 59 °5 58 06 57 °8 56 07 55 °8 54 °9 53 11 7 OO 10 63 34 62 34 61 34 60 34 59 34 58 34 57 35 5636 55 36 54 36 53 38 52 39 10 20 63 01 62 01 61 00 60 00 59 °o 58 00 57 °i 56 01 55 °2 54 03 53 °3 52 05 20 30 62 24 61 24 60 24 59 24 58 43 5822 57 23 56 42 56 23 55 24 54 24 53 24 52.25 51 26 30 40 61 45 60 44 59 43 57 42 55 41 54 42 53 43 52 43 51 44 5° 45 40 50 61 02 60 00 59 00 57 58 5658 55 57 54 57 53 57 52 57 51 57 5° 58 49 59 50 8 00 60 15 59 I2 58 II 57 °9 56 09 55°8 54 °7 53 07 52 07 51 08 50 08 49 1° 8 OO 10 59 23 58 21 57 19 56 17 55 15 54 14 53 14 52 13 51 14 5° 14 4 § '5 48 15 10 20 58 28 57 24 56 22 55 20 54 17 53 16 52 16 51 15 5° 14 49 15 48 16 47 17 20 30 57 27 56 23 55 20 • 54 18 53 15 52 14 51 12 50 12 49 11 48 11 47 13 46 13 30 40 56 21 55 17 54 13 53 1° 52 07 51 °5 ■50 04 49 °4 48 03 47 °3 46 04 45 °6 40 50 55 09 54 <>4 53 00 51 56 50 53 49 52 48 49 47 49 46 49 45 49 44 5° 43 52 50 9 OO 53 51 52 45 51 40 5° 37 49 34 48 31 47 3° 46 29 45 28 44 3o 43 31 42 33 9 00 lO 52 25 51 19 50 15 49 1° 48 07 47 °5 46 03 45 °3 44 °3 43 °4 42 05 41 08 10 20 5° 53 49 46 48 41 47 36 46 33 45 31 44 3° 43 29 42 30 41 31 4° 34 39 38 20 30 49 " 48 04 46 59 '45 55 44 52 43 49 42 48 41 49 40 50 39 53 38 55 38 00 30 40 47 21 46 14 45 °9 44 °5 43 °2 42 01 40 59 40 01 39 °3 38 06 37 n 36 15 40 50 45 21 44 14 43 09 42 06 41 °3 40 03 39 °3 3805 37 08 36 12 35 17 34 25 50 lO 00 43 09 42 03 41 00 39 56 38 55 37 56 36 57 36 00 35 05 34 1° 33 17 32 26 10 00 10 40 46 39 41 38 38 37 36 3636 35 38 34 41 33 46 32 53 32 01 31 10 30 19 10 20 38 II 37 08 36 "5 35 06 34 °8 33 12 32 17 31 24 30 33 29 42 28 54 28 06 20 30 35 21 34 20 33 21 32 24 31 28 3° 34 29 43 28 53 28 03 27 16 26 30 25 45 30 40 32 18 31 19 30 24 29 29 28 36 27 46 2658 26 11 25 25 24 41 23 58 23 17 40 50 29 00 28 05 27 13 26 23 25 34 24 47 24 °3 23 19 22 38 21 58 21 19 20 42 50 11 00 25 27 24 37 23 5° 23 04 22 21 21 39 20 58 20 20 19 42 1907 18 33 17 59 11 00 10 21 40 20 57 20 14 19 34 18 56 18 20 17 45 17 11 16 39 16 09 15 39 15 11 10 20 17 39 17 02 16 28 15 54 15 22 14 52 14 23 13 55 13 28 13 °4 12 39 12 16 20 30 13 26 12 57 12 30 12 04 11 40 11 16 1054 ■ 10 33 10 12 ? s i 9 34 9 16 30 40 9 °4 8 43 8 25 8 07 7 5° 7 35 7 19 7 "5 651 6 38 6 25 6 13 40 50 4 34 4 23 4 14 4 °5 3,56 3 48 3 4i • 3 33 3 26 3 19 3 14 3 °7 50 12 00 00 00 00 00 00 00 00 00 ' 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from. South to East; and when the star' is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 30 AZIMUTH OR TRUE BEARING. LATITUDE 6 °. DECLINATION- -SAME NAME AS— LATITUDE- LATITUDE 6°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 440 45° 46° 47° Hour Angle. h. m. o / / / / t 1 ' ' / / / / Ii. 111. OO OO 00 00 00 00 00 00 00 00 00 00 O 60 O OO lO 20 30 4 02 3 52 3 43 3 34 3 25 3 18 3 °9 3 02 2 55 2 49 ■ 2 42 2 3° 10 8 02 7 41 ' 7 22 7 05 6 49 6 33 6 17 6 02 5 49 8 39 5 35 5 23 5 11 20 " 55 11 25 10 58 10 32 10 08. 9 44 9 22 9 01 , 8 20 8 01 7 42 , 30 40 50 15 39 IS 03 14 27 13 53 13 21 12 50 12 21 II 54 11 27 11 02 1° 37 10 13 40 19 13 18 29 17 47 17 07 16 28 15 51 15 15 14 42 14 10 13 38 13 °8 12 39 50 1 00 22 36 21 45 20 57 20 11 19 26 18 44 18 03 17 24 16 46 16 10 15 34 15 01' 1 00 10 25 46 24 50 23 56 23 °5 22 15 21 28 20 42 19 58 19 16 18 35 17 55 17 16 lO 20 30 40 50 28 42 27 43 26 44 25 48 24 55 24 03 23 13 22 25 21 39 2° 53 20 10 19 27 20 31 27 30 22 29 21 28 22 27 24 26 30 25 35 24 44 23 54 23 05 22 18 21 32 30 33 57 32 51 31 47 3° 45 29 44 28 46 27 49 26 55 26 02 25 10 24 19 23 3» 40 36 15 35 °7 34 01 32 56 31 53 30 54 29 55 28 57 28 02 27 06 26 13 25 22 50 2 00 lO 20 30 40 50 38 21 37 12 36 04 34 59 33 54 32 52 31 51 30 51 29 54 28 57 28 02 27 08 2 OO 40 16 39 °6 37 57 36 51 35 45 34 41 33 39 32 37 31 39 30 40 29 42 2847 10 42 01 40 50 39 41 38 33 37 27 36 22 35 18 34 16 33 1° 32 15 31 17 30 20 20 43 35 42 25 41 16 40 07 39 00 37 55 36 50 35 47 34 45 33 44 32 44 31 46 30 45 01 43 50 42 42 41 33 4° 25 39 20 38 15 37 11 36 09 35 07 34 06 33 06 -40 46 18 45 08 43 59 42 51 41 43 40 38 39 33 38 28 37 25 36 22 35 20 34 19 50 3 00 10 20 30 47 28 46 19 45 10 44 02 42 55 41 49 40 43 39 38 38 35 37 31 36 29 35 28 3 00 48 31 47 22 46 14 45 06 43 59 42 54 41 48 4° 43 39 40 38 35 37 33 36 31 10 49 27 48 19 47 11 4605 44 57 43 51 , 42 45 '43 38 41 41 40 38 ; 39 34 38 31 37 29 20 50 17 49 10 48 02 46 56 45 4? 44 44 42 34 41 3° 40 26 39 24 38 21 30 40 50 51 02 49 55 48 48 47 42 46 36 45 31 44 26 43 22 42 18 41 15 40 11 39 °8 40 51 42 50 35 49 29 48 23 47 18 46 13 45 °8 44 °4 43 °° 41 57 4° 54 39 51 50 4 OO 52 16 51 10 50 04 49 00 47 55 46 50 45 46 44 42 43 39 42 35 41 32 40 30 4 OO 10 52 46 51 '40 50 36 49 31 .48 26 47 23 46 19 46 48 45 15 44 12 43 °8 42 06 41 04 lO 20 30 40 50 53 11 52 07 51 02 49 58 48 55 4 Z 5 J 45 44 44 42 43 39 42 36 4i 33 20 53 33 52 28 51 25 50 22 49 19 48 16 47 12 46 09 45 °6 44 °4 43 01 42 00 30 53 5° 52 47 51 44 50 41 49 38 48 35 47 33 46 30 45 28 44 25 43 24 42 21 40 54 04 53 01 5i 59 50 5° 49 54 48 51 47 5° 46 48 45 46 44 43 43 41 42 4° 50 5 00 10 20 30 40 54 15 53 13 52 11 51 08 50 06 49 05 48 03 47 01 45 59 44 57 43 55 42 54 5 OO 54 22 53 20 52 19 51 17 50 16 49 14 48 12 47 11 46 09 45 °8 44 07 43 °5 10 54 26 53 24 52 23 51 22 50 21 49 19 48 18 47 17 46 17 45 15 44 14 43 13 20 54 27 53 25 52 25 51 24 50 23 49 22 48 20 47 20 46 20 45 18 44 18 43 17 30 54 23 53 23 52 23 51 22 50 21 49 21 48 20 47 20 46 20 45 18 44 18 43 18 40 50 54 18 53 18 . 52 17 51 18 50 17 49 17 48 16 47 ifi 46 17 45 15 44 15 43 15 50 6 00 54 09 53 °9 52 08 51 If 50 10 49 1° 48 10 47 09 46 10 45 °9 44 1° 43 1° 6 00 lO 20 30 40 53 06 52 06 51 05 5058 49 58 48 59 47 59 46 59 46 00 44 59 44 00 43 °l lO 53 43 52 43 51 44 50 44 49 44 48 45 47 45 46 46 45 4° 44 47 43 48 42 48 20 53 24 52 25 51 25 50 27 49 27 48 28 47 29 46 30 45 31 44 31 43 33 42 33 30 53 03 52 04 51 °5 50 06 49 07 48 08 47 09 46 .10 45 12 44 12 43 ! 3 42 13 40 50 52 38 51 40 50 41 49 42 4= 43 47 44 46 46 45 47 44 48 43 49 42 51 41 52 50 7 00 52 11 51 12 50 13 49 15 48 16 47 18 46 19 45 21 44 22 43 23 42 25 41 26 7 00 10 5i 39 50 42 49 42 48 44 47 46 46 47 45 49 44 5° 43 53 42 55 41 57 40 58 10 20 51 06 5° 07 49 °9 48 10 47 12 46 13 45 15 44 18 43 20 42 22 41 25 40 26 20 30 50 27 49 2 § 48 31 47 33 4° 34 45 37 44 39 43 41 42 44 41 46 40 49 39 51 30 40 49 46 48 48 47 50 4° 51 45 54 44 55 43 58 43 °° 42 04 41 °7 40 09 39 12 40 50 49 01 48 02 47 03 46 06 45 08 44 II 43 14 42 17 41 20 40 24 39 27 38 3° 50 8 00 48 10 47 12 46 14 45 17 44 2° 43 22 42 25 41 29 40 32 39 36 38 41 37 44 8 00 10 47 17 46 19 45 21 44 24 43 26 42 28 41 33 40 37 39 41 3845 37 5° 36 54 lO 20 46 18 45 21 44 23 43 25 42 29 41 33 4° 37 39 41 38 4° 37 5° 36 56 36 02 20 30 45 16 44 17 43 21 42 24 41 27 40 31 39 3° 38 41 37 46 3° 52 35 58 35 04 30 40 44 08 43 10 42 14 41 16 40 21 39 25 38 31 37 37 36 42 35 49 34 56 34 °3 40 50 42 55 41 58 41 01 40 06 39 1° 38 15 37 21 3° 28 35 34 34 41 33 50 32 57 50 9 00 41 36 4° 39 39 43 38 49 37 53 37 °° 36 06 35 14 34 22 33 29 32 39 31 48 9 OO lO 40 12 39 16 38 20 37 26 36 33 35 39 34 47 33 56 33 °5 32 14 31 24 30 34 10 20 30 38 41 37 46 36 52 35 59 35 06 34 14 33 23 32 33 31 43 3° 53 3° °5 29 16 20 37 04 36 II ■ 35 17 34 2° 33 34 32 43 31 53 31 °5 30 16 29 28 28 41 27 55 30 40 35 21 34 29 33 37 32 46 31 56 31 07 30 19 29 32 28 44 27 58 27 13 26 28 40 50 33 32 32 41 31 5° 31 01 30 13 29 25 28 39 27 53 27 08 26 24 25 40 24 57 50 10 00 , 31 35 30 46 29 58 29 IQ 28 24 27 38 26 53 26 10 25 27 24 44 24 °4 23 23 10 OO 10 29 31 28 44 27 57 27 13 26 28 25 45 25 03 24 21 23 41 23 °i 22 22 21 43 10 20 27 21 26 35 25 52 25 09 24 27 23 47 23 07 22 28 21 50 21 13 20 36 20 00 20 30 25 03 24 21 23 39 23 00 22 21 21 43 21 06 20 30 19 55 19 20 18 46 18 13 30 40 22 37 21 58 - 21 20 ' 20 44 20 08 19 33 18 59 18 27 17 55 17 22 16 52' 16 22 40 50 20 05 19 30 18 56 18 22 17 51 17 20 16 49 16 20 15 5° 15 22 14 55 14 27 50 11 00 .17 27 . 16 55 16 26 15 5° 15 27 15 01 14 34 14 07 13 43 13 18 12 54 12 30 11 OO 10 14 43 14 16 13 50 13 25 13 °o 12 38 12 15 II 53 II 31 II 10 10 50 10 30 10 20 11 53 11 31 11 10 10 50 10 29 10 10 9 52 9 34 9 17 9 00 8 43 8 27 20 30 8 59 8 42 8 26 8 11 7 55 '7 41 7 27 7 13 7 00 6 47 6 34 6 22 30 40 6 01 5 5° 5 38 5 29 5 "1 5 09 4 59 4 5° 4 4i 4 32 4 24 2 08 40 50 3 01 .2 55 2 5° 2 45 2 39^ 2 34 2 30 2 25 2 21 2 16 2 12 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned form North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour ans-Ie and the supplement of the tabulated azimuth is to be taken for the required true bearing. 31 AZIMUTH OR TRUE BEARING. latitude: e°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 6°. Hour An gle. 48° 49° 50°. 51° 52° 53° 54° ■55° 56° 57° 58° 59° Hour Angle. h. m. O i / / ' 1 / - / / / / ' / Ii. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 io 2 30 2 24 2 19 2 13 2 08 2 04 1 59 1 54 1 49 1 45 1 41 1 37 10 20 20 4 59 4 48 4 36 4 26 4 16 4 06 3 57 3 47 3 39 3 3° 3 22 3 13 30 7 25 ° 53 638 6 22 6 08 5 54 5 39 5 26 5 14 5 °i 4 49 30 40 9 50 9 28 9 °7 847 8 27 8 08 7 48 7 3° 7 13 6 56 6 39 6 23 40 50 12 11 11 44 11 18 10 53 10 28 10 05 9 42 9 19 858 8 36 8 16 7 56 50 1 00 14 28 13 56 13 25 12 56 12 27 11 59 11 32 11 06 10 40 10 16 9 51 9 27 1 00 10 IO 16 40 16 04 15 29 14 55 14 23 ■3 51 13 20 12 50 12 20 11 51 II 24 10 56 20 18 46 18 06 17 28 16 51 16 14 15 39 15 °4 14 3° 13 58 13 25 12 54 12 23 20 30 40 50 SO 20 48 20 04 19 22 18 41 18 01 17 22 16 44 16 07 15 32 14 5° 14 22 13 47 40 22 43 21 56 21 11 20 27 19 43 19 02 18 21 17 4i 17 02 16 23 15 46 S3 50 24 32 23 43 22 54 22 08 21 21 20 37 19 53 19 11 18 29 17 47 17 08 2 00 26 16 25 24 24 32 26 05 23 44 22 55 22 08 21 21 20 36 19 53 19 08 18 25 17 44 2 OO 10 20 10 27 52. 26 58 25 14 24 23 23 34 22 45 21 58 21 12 20 25 19 40 18 56 20 29 22 28 26 27 33 26 39 25 46 24 56 24 05 23 16 22 27 21 38 20 51 20 04 30 30 48 29 50 28 55 27 59 27 06 26 12 25 19 24 29 23 38 22 48 21 59 21 10 30 40 50 40 32 07 31 08 30 11 29 15 28 19 27 25 26 30 25 37 24 45 25 48 23 53 23 02 22 12 50 33 20 32 20 31 22 30 25 29 27 28 31 27 36 26 42 24 55 24 02 23 11 3 OO 34 28 33 27 32 27 31 29 3° 32 29 35 2838 27 42 26 47 25 53 24 59 24 °5 3 00 10 10 35 29 34 29 33 28 32 3° 31 31 3° 33 29 35 28 39 27 43 26 47 25 5i 24 57 20 36 27 35 25 34 25 33 25 32 26 31 27 30 29 29 3i 28 35 27 38 26 41 25 46 20 30 40 50 30 37 19 36 17 35 16 34 16 33 15 32 16 31 18 30 19 29 22 28 24 27 26 26 29 40 38 07 37 04 36 03 35 02 34 °2 33 °2 32 03 31 °3 3° °5 29 07 28 08 27 II 50 38 49 37 47 36 46 35 45 34 43 33 43 32 43 31 44 3° 45 29 46 28 47 27 48 4 00 39 27 38 25 37 24 36 22 35 21 34 21 33 20 32 20 31 20 30 21 29 22 28 23 4 00 10 20 30 40 10 40 02 38 59 37 57 36 56 35 54 34 54 33 53 32 53 31 53 3° 54 29 54 28 54 20 4° 31 39 29 38 27 37 26 36 25 35 24 34 22 33 22 32 22 31 21 30 22 29 21 30 40 57 39 54 38 54 37 53 36 51 35 5° 34 49 33 48 32 48 31 46 30 46 29 47 40 41 20 40 17 39 16 38 14 37 12 36 12 35 11 34 1° 33 °9 32 08 31 °8 30 07 50 4i 3? 40 35 39 34 38 33 37 32 36 31 35 29 34 29 33 28 32 27 31 27 30 26 50 5 00 41 52 40 51 39 49 38 49 37 47 36 47 35 45 34 44 33 44 32 42 31 42 3° 41 5 00 10 20 30 40 50 IO 42 04 41 02 40 01 39 0° 37 59 3°58 35 57 34 56 33 55 32 55 31 54 3° 53 20 42 11 41 11 40 09 39 08 38 07 37 °7 36 06 35 °5 34 °5 33 °4 32 03 31 02 30 42 17 41 15 40 15 39 14 38 12 37 12 36 11 35 1° 34 1° 33 °9 32 09 31 °8 40 42 17 4i 17 40 16 39 15 38 14 37 14 36 14 35 13 34 13 33 12 32 11 31 11 50 42 16 41 15 40 14 39 H 38 14 37 13 3° 13 35 12 34 13 33 12 32 12 31 11 6 00 42 09 41 10 40 09 39 °9 38 08 37 °9 36 08 35 °9 34 °9 33 °9 32 09 31 08 6 00 10 IO 42 01 41 01 40 01 39 01 38 02 37 °2 36 01 35 °2 34 °2 33 °2 32 02 31 02 20 41 49 40 49 39 50 % 5 l 37 51 36 51 35 52 34 52 33, 53 32 53 31 54 3° 54 20 30 30 41 34 40 35 39 35 3836 37 37 3 6 39 35 39 34 4° 33 41 , 32 42 31 43 3° 43 40 41 16 40 17 39 18 38 19 37 20 36 21 35 22 ' 34 24 33 26 32 26 31 28 30 29 40 50 SO 40 55 39 55 38 57 37 58 36 59 36 02 35 °3 34 °5 33 °7 32 08 31 10 30 12 7 OO 40 30 39 3i 38 33 . 37 34 36 37 35 39 34 41 33 43 32 46 31 47 3° 5° 29 51 7 OO 10 IO 40 01 39 03 38 05 37 °8 36 10 35 13 34 15 33 18 32 21 31 23 30 27 29 29 20 39 29 38 32 37 35 36 38 35 41 34 44 33 47 32 5° 31 53 3° 57 30 00 29 03 20 30 3856 37 58 37 01 36 °5 35 °8 34 12 33 15 32 19 31 23 30 27 29 32 28 36 30 40 38 17 37 20 36 24 35 28 34 32 33 37 32 4° 31 45 3° 5° 29 54 28 59 28 04 40 SO 37 35 36 39 35 44 34 48 33 53 32 58 32 02 31 08 3° 14 29 19 28 25 27 31 50 S 00 '. 36 50 35 54 34 59 34 04 33 °9 32 15 31 21 30 27 29 34 28 40 27 47 26 54 8 00 IO - .. 36 00 35 °6 34 12 33 18 .32 24 31 3° 30 37 29 43 28 52 27 59 27 07 26 14 10 20 "• 35 08 34 14 33 21 32 27 31 34 30 42 29 50 2857 28 06 27 14 26 23 25 32 20 30 34 12 33 18 32 26 31 33 3° 41 29 5° 28 59 28 08 27 17 26 27 25 37 24 47 30 40 33 11 32 19 31 27 3° 36 29 45 28 55 28 95 27 15 26 26 25 3° 24 48 23 58 40 50 32 07 31 16 3° 25 29 45 28 46 27 56 27 07 26 19 25 31 24 42 23 55 23 08 50 9 OO 3° 59 30 08 29 19 28 31 27 42 26 54 26 06 25 20 24 33 23 46 23 00 22 14 9 OO 10 29 46 2857 28 10 27 21 26 35 25 49 25 02 24 17 23 32 22 47 22 03 21 18 IO 20 28 29 27 43 26 56 26 10 25 25 24 4° 23 55 23 12 22 29 21 45 21 03 20 20 20 30 27 09 . 26 23 25 39 24 54 24 II 23 28 22 44 22 03 21 21 20 39 19 59 19 18 30 40 25 44 ; 25 01 24 18 23 35 22 53 22 12 21 33 20 51 20 11 19 3i 18 53 18 14 40 50 24 16 23 34 22 53 22 12 21 32 20 54 20 14 19. 36 18 58 18 22 17 45 17 08 50 10 00 22 43 22 03 21 25 20 46 20 08 ' : 2 3i 18 55 18 19 17 43 17 08 16 34 15 59 10 00 10 21 06 20 29 19 52 19 16 18 41 18 06 17 32 16 58 16 25 15 52 15 20 14 47 10 20 19 2 5 18 50 18 16 17 43 17 11 16 38 16 06 15 3° 15 °5 14 34 14 °5 13 35 20 30 1 17 41 17 09 1638 16 07 15 36 15 °8 14 38 14 10 13 42 13 14 12 47 12 20 30 40 15 53 15 24 14 55 14 28 14 00 13 34 13 07 12 41 12 16 " 5i 11 27 11 02 40 50 14 01 13 36 13 11 12 46 12 21 11 58 11 34 II 12 10 49 10 26 10 05 9 44 50 11 00. 12 07 II 44 11 22 11 01 10 40 10 20 9 59 9 39 9 20 9 01 8 41 8 23. 11 00 IO 10 11 9 52 9 32 9 14 8 57 8 40 8 22 8 05 7 5° 7 33 7 17 7 01 10 20 8 11 7 55 7 40 7 26 7 12 6 57 6 44 6 30 6 17 6 04 5 52 5 39 20 30 6 10 5 58 5 47 5 36 5 25 5 15 5 °4 4 54 4 44 4 34 4 25 4 15 •30 40 A 08 4 00 3 52 3 45 3 37 3 3° 3 24 3 17 3 10 3 °3 2 56 2 51 40 # 50 2 04 '2 OO 1 57 1 53 1 49 1 46 1 42 1 38 1 35 1 32 1 28 I 25 50 12 00 00 00 00 00 00 00 00 do 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 32 AZIMUTH OR TRUE BEARING. LATITUDE 6.' DECLINATION— SAME NAME AS-I,ATITUDE. latitude: 6°. Hour Angle. 60 c 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. O 10 11 in. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 ■ 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 20 40 50 00 10 20 30 40 50 00 00 I 33 3 05 4 3° 6 07 7 3° 9 04 10 30 II 54 13 15 H 34 15 49 T7 02 18 12 19 19 20 23 21 22 22 20 23 13 24 04 24 51 25 34 26 14 26 51 27 25 27 55 28 22 28 46 29 08 29 26 29 40 29 52 30 01 30 08 30 11 30 11 30 08 3° °3 29 55 29 44 29 30 29 14 28 55 23 32 28 08 27 40 27 09 26 37 26 01 25 23 24 42 23 57 23 II 22 21 21 29 20 35 19 37 18 38 17 3° 16 32 15 25 14 16 13 05 II 53 10 39 9 22 6 46 5 26 4 05 2 44 1 22 o 00 00 1 29 2 58 4 25 5 52 7 17 8 41 10 04 11 24 12 43 13 58 15 11 16 21 17 29 18 33 19 35 20 33 21 29 22 21 23 09 23 55 24 37 25 17 25 53 26 26 2656 27 22 27 4° 28 07 28 25 28 40 28 52 29 01 29 07 29 09 29 10 29 07 29 02 28 55 28 45 28 31 28 15 27 57 27 35 27 11 26 44 26 14 25 43 25 °7 24 30 23 5° 23 07 22 22 21 34 20 44 19 51 1855 17 5» 16 58 15 5° 14 52 13 45 12 37 11 27 10 14 9 02 I 47 6 31 5 14 3 5° 2 38 1 '18 00 1 24 2 50 4 13 5 37 ° 59 8 19 9 38 10 56 12 10 13 23 14 33 15 41 16 46 17 48 18 49 19 45 20 39 21 29 22 17 23 01 23 42 24 21 24 5° 25 28 25 57 26 23 26 47 27 07 27 24 27 39 -7 51 27 59 28 06 28 09 28 09 28 08 28 02 27 55 27 45 27 32 27 17 26 59 26 37 26 14 25 49 25 20 24 48 24 15 23 38 23 1° 22 18 21 34 20 47 19 59 19 08 18 14 17 18 16 21 15 21 14 18 13 14 12 08 11 00 9 SI 8 40 7 28 6 16 5 02 3 4° 2 32 1 16 o 00 1 21 2 42 4 02 5 22 6 41 7 5* 9 13 10 27 11 40 12 49 13 56 15 °2 16 05 17 °5 18 03 1857 19 49 20 3? 21 24 22 07 22 47 23 25 24 00 27 08 27 03 2656 26 46 26 33 26 18 26 01 25 41 25 18 24 53 24 25 23 55 23 22 22 48 22 10 21 29 20 46 20 02 19 15 18 25 17 33 16 40 15 43 14 45 13 4° 12 43 II 40 10 35 9 28 8 20 7 11 6 01 4 5° 3 38 2 26 I 13 o 00 00 1 18 2 35 3 51 5 °8 6 22 7 3° 849 9 59 11 09 12 16 13 21 19 47 20 32 21 14 21 53 22 29 23 °3 24 31 23 33 24 59 24 01 25 25 24 25 25 47 24 48 26 07 25 07 26 24 25 24 26 39 25 38 26 50 25 49 26 59 25 59 27 06 26 05 27 09 26 09 27 10 26 09 26 08 26 03 25 56 25 47 25 34 25 20 25 °3 24 44 .24 21 23 57 23 3° 23 02 22 29 21 5° 21 19 20 41 19 59 19 16 18 30 17 42 16 53 16 00 15 °° 14 11 13 13 12 14 11 12 10 09 9 06 8 00 6 54 5 4° 4 38 3 29 2 20 1 10 o 00 i 1 14 2 28 3 41 4 54 6 05 716 825 9 32 10 38 11 43 12 46 14 24 13 4° 15 24 14 44 l6«22 15 39 17 17 IS 32 18 09 17 23 19 00 18 II 18 57 19 40 20 21 20 59 21 34 22 07 22 36 23 03 23 27 23 49 24 09 24 25 24 38 24 50 24 59 25 04 25 08 25 °9 25 07 25 03 24 57 24 47 24 36 24 22 24 °5 23 47 23 26 23 02 22 36 22 08 21 37 21 05 20 29 19 52 19 12 18 30 17 4° 17 00 16 12 15 22 14 29 13 36 12 41 II 44 1° 45 9 44 8 43 7 4° 6 37 5 32 4 26 3 21 2 14 1 °7 o 00 3 3° 4 39 5 4» S 55 8 01 9 06 10 10 11 11 12 10 13 °8 14 04 14 57 15 49 16 37 17 24 18 08 18 49 I) 28 20 05 20 38 21 11 21 39 22 06 22 29 22 50 23 09 23 25 23 38 23 49 23 57 24 04 24 °7 24 08 24 °7 24 03 23 57 2348 23 37 23 24 23 08 22 49 22 29 22 07 21 42 21 14 20 45 20 13 19 39 19 03 18 25 17 44 17 02 16 18 15 31 14 43 13 53 13 01 12 09 II 13 10 17 9 19 8 21 7 21 6 20 518 4 15 3 12 2 08 1 04 o 00 00 1 07 2 13 3 21 4 26 5 31 6 35 7 38 8 40 9 40 10 39 11 36 12 31 13 24 14 15 15 °5 15 52 1636 17 -'9 17 58 18 36 19 11 19 44 20 14 20 42 21 08 21 31 21 51 22 69 22 25 22 38 22 49 22 57 23 03 23 °7 23 08 23 °7 23 °3 22 58 22 48 22 38 22 25 22 10 21 53 21 33 21 12 20 47 20 21 19 52 19 22 18 49 18 14 '7 38 16 59 16 19 15 35 14 51 14 °5 13 17 12 27 II 37 10 44 9 5° 8 54 7 59 7 01 6 03 5 04 4 03 3 03 2 02 I 01 o 00 00 1 03 2 07 3 1° 4 13 5 14 6 15 7 15 8 14 9 12 10 07 11 02 11 55 12 45 13 34 14 22 15 06 15 49 16 30 17 08 17 44 18 18 1850 19 19 19 4° 20 11 20 33 20 53 21 10 21 26 21 38 21 49 21 57 22 03 22 07 22 08 22 07 22 04 ■21 58 21 49 21 40 21 27 21 13 20 56 2° 37 20 16 19 52 19 27 19 01 18 31 17 59 17 26 16 52 16 14 15 35 14 54 14 11 13 27 12 41 11 54 11 05 10 15 9 24 8 30 7 37 6 42 5 46 4 50 3 52 2 55 I 57 o 59 o 00 00 I 00 2 01 3 °° 4 00 4 59 5 56 6 53 7 49 8 44 9 3° 10 29 11 18 12 07 12 54 13 39 14 22 15 °3 15 42 16 19 16 53 17 26 17 57 18 25 18 50 19 15 19 3° 19 55 20 12 20 27 20 39 20 50 20 57 21 03 21 07 21 07 21 07 21 03 20 58 20 50 20 41 20 29 20 15 20 00 19 42 19 21 1859 1835 18 09 17 41 17 11 1638 16 05 15 29 14 52 14 13 13 32 12 50 12 06 IL 21 10 34 946 8 57 8 06 I J 5 6 23 5 30 4 35 3 41 2 47 1 51 56 00 o 00 58 1 54 . 2 51 3 47 4 42 5 36 6 30 7 23 8 16 9 56' 'o 43 11 29 12 14 12 56 13 37 14 16 14 54 15 29 16 02 16 33 17 03 17 29 *Z °5 18 18 18 38 18 57 19 13 19 27 19 39 194? 19 56 20 02 20 06 20 06 20 06 20 03 19 5§ 19 5i 19 42 19 30 19 17 19 02 18 45 18 26 18 04 17 42 17 17 16 50 16 21 15 °i 15 18 14 44 14 08 13 32 12 53 12 12 11 31 10 48 10 03 8 30 7 42 6 53 6 03 5 13 4 22 3 30 2 38 I 46 o 53 00 O 11 12 ill. 00 10 20 30 40 50 00 10 30 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 IO 20 30 40 50 OO IO 20 30 40 SO 00 10 20 30 40 50 OO 10 20 30 40 50 00 in North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 33 AZIMUTH OR TRUE BEARING. latitude 7 D # DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 7°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ii. in. / / / / n ' / / / / / / ' Ji. ni. 00 00 00 00 00 00 00 00 00 00 00 00 00 O OO 10 7 46 7 17 651 6 28 6 08 5 49 5 32 5 15 5 °° 4 47 4 33 4 21 10 20 15 12 14 19 13 31 12 46 12 06 II 30 10 55 10 24 9 55 9 27 9 02 8 39 20 30 22 07 20 53 19 46 18 44 17 47 16 54 16 06 15 21 14 39 14 00 13 23 12 49 30 40 28 21 26 52 25 3° 24 15 23 04 21 59 20 59 20 02 19 09 18 19 17 33 16 49 40 50 33 51 32 11 30 40 29 14 27 54 26 40 25 29 24 24 23 21 22 23 21 27 20 36 50 1 00 3836 36 52 35 14 33 42 32 16 30 54 29 37 28 24 27 15 26 09 25 08 24 °9 1 OO 10 42 43 40 56 39 '6 37 40 36 09 34 44 33 22 32 03 30 49 29 38 28 32 27 28 10 20 46 15 44 29 42 47 41 09 39 37 38 08 36 43 35 21 34 °4 32 49 31 39 3° 3° 20 30 49 17 47 32 45 51 44 14 42 40 41 10 39 44 38 21 37 °i 35 44 34 3° 33 19 30 40 51 53 50 11 48 31 46 55 45 22 43 52 42 25 41 01 39 40 38 21 37 °5 35 52 40 50 54 °» 52 28 5° 5° 49 J 6 47 44 46 15 44 48 43 24 42 02 4° 43 39 26 38 11 50 2 00 56 °5 54 28 56 10 52 52 51 20 49 50 48 22 46 55 45 32 44 11 42 51 41 34 40 19 2 OO 10 57 45 54 38 53 08 51 39 5° 13 48 48 47 26 46 05 44 45 43 28 42 13 10 20 59 " 57 39 56 11 54 43 53 17 51 52 50 28 49 °7 47 47 46 28 45 11 43 57 20 30 60 27 58 58 57 32 56 06 54 42 53 19 51 58 5° 37 49 19 48 01 46 45 45 3° 30 40 61 32 60 06 5842 57 19 55 57 54 36 53 16 5' 58 5° 39 49 23 48 08 46 54 40 50 62 28 61 05 59 44 58 23 57 <>3 55 44 54 25 53 09 51 52 5° 37 49 23 48 °9 50 3 OO 63 18 61 57 6038 59 19 58 01 56 43 55 27 54 " 52 56 51 42 50 29 49 16 3 00 10 64 00 62 42 61 25 60 08 5852 57 36 56 21 55 <>7 53 54 52 40 51 28 5° 17 10 20 64 37 63 21 62 05 60 50 59 36 58 22 57 °9 55 56 54 43 53 32 52 21 51 10 20 30 65 08 63 54 62 40 61 27 60 14 59 02 57 51 56 39 55 28 54 17 53 °7 51 58 30 40' 65 35 64 22 63 11 61 59 60 48 59 37 . 5826 57 16 56 06 54 57 53 48 52 39 40 50 65 57 64 47 63 36 62 26 61 17 60 07 5858 57 49 56 41 55 32 54 23 S3 16 50 4 OO 66 15 65 06 63 58 62 49 61 40 60 32 59 24 58 16 57 °9 56 02 ■54 54 53 48 4 00 10 66 30 65 22 64 15 63 °7 62 00 60 53 59 47 58 4° 57 34 56 26 55 2° 54 15 10 20 66 42 65 35 64 29 63 23 62 17 61 10 60 05 58 59 57 54 5648 55 43 54 38 20 30 66 50 65 45 64 40 63 35 62 30 61 24 60 19 59 15 58 10 57 °5 56 01 54 56 30 40 6656 65 52 64 47 63 44 ' 62 39 61 35 60 31 59 27 5823 57 18 56 15 55 " 40 50 66 59 65 55 64 52 63 48 62 46 61 42 60 39 59 35 58 33 57 29 56 26 55 23 50 5 00 66 59 65 57 64 53 63 51 62 49 61 46 60 44 59 41 5838 57 35 56 33 55 31 5 OO 10 6657 65 55 64 53 63 51 62 50 61 47 6045 59 44 58 41 57 4° 56 38 55 35 10 20 66 52 65 50 64 49 6348 62 47 61 45 60 44 59 43 5842 57 4° 5638 55 37 20 30 66 45 65 44 64 44 63 43 62 42 61 41 60 40 59 39 58 39 57 37 5636 55 35 30 40 66 35 65 35 64 35 63 35 62 34 61 33 60 33 59 32 58 32 57 32 56 31 55 31 40 50 66 24 65 24 64 23 63 23 62 24 61 24 60 24 59 24 58 24 57 24 56 23 55 23 50 6 00 66 10 65 °9 64 10 63 10 62 11 61 10 60 II 59 12 58 11 57 11 56 12 55 12 6 00 10 65 53 64 54 63 54 62 54 61 55 60 56 59 56 58 57 57 57 5658 55 58 54 58 10 20 , 65 34 64 35 63 35 6236 61 37 60 37' 59 38 5838 57 39 56 4° 55 41 54 42 20 30 65 13 64 14 63 M 62 15 61 16 60 16 59 17 58 18 57 19 56 20 55 20 54 22 30 40 64 49 . 63 49 62 51 61 51 60 53 59 53 58 54 57 55 56 56 55 57 54 57 53 59 40 50 64 23 63 23 62 24 61 25 60 26 59 26 58 27 57 28 56 29 55 29 54 31 53 33 50 7 OO 63 53 62 54 61 54 60 55 59 55 5856 57 57 5658 55 59 55 °° 54 °l 53 °3 7 00 10 63 21 62 22 61 22 60 23 59 24 58 24 5 J 2 i 56 26 55 27 54 28 53 29 52 31 lO 20 62 46 61 46 60 47 59 47 58 47 57 47 5648 55 49 54 5° 53 52 52 52 51 54 20 30 62 08 61 08 60 07 59 08 58 08 57 08 56 08 55 09 54 11 53 12 52 13 51 15 30 40 61 26 60 26 59 25 58 25 57 26 56 25 55 25 54 27 53 28 52 29 51 30 5° 32 40 50 60 41 59 4° 58 39 57 39 5638 55 38 54 39 53 4° 52 4° 51 42 5° 42 49 45 50 8 00 59 51 5850 57 49 5648 55 48 54 48 53 48 52 48 ' 51 49 5° 5° 49 51 48 54 8 OO 10 5858 57 56 56 54 55 54 54 53 53 52 52 52 51 53 5° 53 49 54 48 56 47 58 10 20 58 00 56 57 55 56 54 55 53 53 52 52 51 52 5° 53 49 53 48 55 47 55 46 58 20 30 56 57 55 54 54 52 53 50 52 49 51 48 50 48 49 48 48 48 47 49 46 52 45 53 30 40 55 49 54 46 53 43 52 41 51 39 5° 37 49 37 48 38 47 38 46 40 45 41 44 44 40 50 54 35 53 31 52 28 51 26 5° 24 49 22 48 22 47 22 46 23 45 24 44 26 43 3° 50 9 OO 53 15 52 11 51 °7 50 04 49 °3 48 01 47 00 46 01 45 °2 44 °3 43 °5 42 09 9 00 10 5i 47 5° 43 49 39 48 37 47 34 46 32 45 33 44 33 43 35 42 36 4i 4° 40 44 lO 20 50 13 49 °7 48 04 47 01 45 59 44 57 43,58 42 59 42 01 41 03 40 07 39 12 20 30 48 30 47 25 46 21 45 18 44 16 43 15 42 16 41 18 40 21 39 23 38 28 37 33 30 40 46 38 i45 33 44 3" 43 27 42 26 41 25 40 26 39 29 38 33 37 36 36 42 35 49 40 50 44 36 43 32 42 29 41 27 40 27 39 27 38 29 37 33 36 37 35 43 34 5° 33 58 50 10 OO 42 25 41 20 40 19 39 18 38 18 37 19 36 24 35 28 34 34 33 41 32 5° 32 00 10 00 10 40 01 -3858 37 56 36 57 35 59 35 02 34 07 33 14 32 22 31 31 30 42 29 54 10 20 37 25 36 24 35 25 34 28 33 31 32 36 3' 44 30 54 30 03 29 14 28 27 27 42 20 30 34 37 33 38 32 40 31 46 30 52 30 00 29 10 28 22 27 35 26 48 26 05 25 22 30 40 31 34 30 38 29 45 28 53 28 02 27 13 26 27 25 42 24 58 .24 15 23 34 22 54 40 50 28 19 27 27 26 37 25 48 25 02 24 17 23 34 22 53 22 13 21 33 20 56 20 20 50 11 00 24 49 24 02 23 16 22 33 21 52 21 10 20 32 19 55 19 20 1845 18 12 17 4° 11 OO 10 21 06 20 25 19 45 19 p7 18 30 17 55 17 22 16 50 16 19 15 5° 15 21 14 54 10 20 17 11 16 36 16 02 <5 3° 15 »I H 32 14 04 13 38 13 12 12 48 12 24 12 02 20 30 13 03 12 36 12 10 11 46 II 23 11 01 10 39 10 18 9 59 9 40 9 23 9 06 30 40 8 48 8 30 8 11 7 $i 7 39 7 24 7 09 6 55 6 42 6 29 6 18 6 06 40 50 4 25 4 16 4 07 3 58 3 51 3 43 3 35 3 28 3 22 3 15 3 °9 3 °4 50 ■ ! 12 OO 00 00 00 00 cp 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682—02 3 34 AZIMUTH OR TRUE BEARING. LATITUDE 7o. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 7°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. ill. / / / / / / / t / / / / Ii. m. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 4 10 3 59 3 49 3 39 3 31 3 22 3 14 3 07 2 59 2 52 2 46 2 39 IO 20 8 16 7 55 7 35 7 17 7 00 6 42 6 27 6 11 5 57 852 § 42 5 29 5 17 20 30 12 16 11 46 II 17 10 49 10 23 9 58 9 35 9 13 8 31 8 11 7 52 30 40 16 07 15 27 14 51 14 15 13 42 13 09 12 39 12 11 II 43 11 16 10 50 10 25 40 50 19 47 1859 18 15 17 32 16 53 16 14 15 36 15 °I 14 27 13 5° 13 24 12 53 50 1 00 23 13 22 20 21 28 20 40 19 54 19 10 18 26 17 46 17 07 16 29 15 53 15 18 I OO 10 26 26 25 28 24 31 23 37 22 46 21 56 21 09 20 23 19 39 1857 18 16 17 36 10 20 29 25 28 22 27 22 26 23 25 27 24 34 23 42 22 52 22 03 21 18 20 32 19 48 20 30 32 10 31 04 30 00 2859 27 59 27 02 26 06 25 13 24 20 23 31 22 41 21 55 23 sS 30 40 34 41 33 33 32 26 31 22 30 20 29 20 28 22 27 24 26 29 25 37 24 45 40 50 36 59 35 49 34 41 33 34 32 3° 31 28 30 27 29 28 28 30 27 35 26 40 25 47 50 2 00 39 05 37 54 36 45 35 37 34 30 33 26 32 23 31 23 3° 23 29 25 31 °8 28 28 27 32 2 OO IO 40 59 39 47 38 37 37 29 36 21 35 16 34 12 33 09 32 08 30 09 29 10 IO 20 42 43 41 31 40 20 39 " 3803 3656 35 5i 34 48 33 44 32 43 31 43 3° 44 20 30 44 17 43 °4 41 53 40 44 39 36 38 28 37,22 3° 17 35 14 34 12 33 10 32 10 30 40 45 41 44 29 43 19 42 08 41 00 39 53 384° 37 41 3° 37 35 34 34 31 33 31 40 60 46 56 45 45 44 34 43 25 42 17 41 10 40 03 38 57 37 52 3° 49 35 46 34 44 50 3 OO 48 04 46 53 45 44 44 35 43 27 42 19 41 13 40 06 39 02 37 58 36 54 35 51 3 00 10 49 05 47 5° 46 46 45 37 44 30 43 22 42 16 41 10 40 05 39 °l 37 57 3° 54 3° 54 10 20 50 00 48 5' 47 42 46 34 45 26 44 19 43 13 42 08 41 02 39 58 37 50 20 SO 50 48 49 39 48 31 47 24 46 17 45 10 44 °5 42 59 4i 54 40 49 39 4°- 38 42 30 40 51 31 5° 23 49 1° 48 09 47 02 45 5° 44 51 43 4° 42 40 41 3° 40 32 39 29 40 50 52 08 51 01 49 55 48 49 47 43 46 37 45 31 44 26 43 22 42 18 41 13 40 10 50 4 00 52 41 51 35 5° 28 49 23 48 17 47 t2 46 08 45 °3 43 59 42 55 41 51 40 48 if. O O 10 53 °9 52 03 5058 49 52 48 48 47 44 46 39 45 35 44 31 43 27 42 23 41 21 IO 20 53 32 52 27 51 23 50 19 49 IS 48 10 47 06 46 03 44 59 43 5° 42 S 2 41 50 20 30 53 52 52 48 5i 44 50 40 49 3° 48 32 47 29 47 4» 46 26 45 23 44 20 43 17 42 14 30 40 54 08 53 04 52 01 5058 49 54 48 5t 4° 45 45 42 44 40 43 37 42 35 40 50 54 20 53 17 52 14 51 II 50 09 49 °° 48 03 47 01 45 59 44 57 43 54 4? 52 50 ! 5 00 54 29 53 26 52 24 51 21 5° 19 49 '7 t| J 5 47 13 46 11 45 °9 44 07 43 05 5 00 10 54 34 54 3 6 53 31 52 30 51 28 5° 20 49 25 482S 47 21 46 20 45 19 44 16 43 15 10 20 53 34 52 ?3 51 32 50 31 49 29 48 27 47 26 46 25 45 24 44 22 43 21 20 30 54 35 53 34 52 33 51 32 50 31 49 30 48 29 47 28 46 27 45 27 44 25 43 24 30 40 54 3<> 53 3° 52 29 51 28 50 28 49 27 48 26 47 27 46 26 45 25 44 24 43 23 40 50 54 23 53 23 52 22 51 22 50 22 49 22 48 21 47 22 46 21 45 21 44 20 43 20 50 6 00 54 12 53 12 52 13 51 13 50 13" 49 13 48 13 47 13 46 13 45 n 44 13 43 13 6 OO 10 53 58 5258 5i 59 5° 59 50 00 49 01 48 01 47 02 46 02 45 03 44 02 43 02 10 20 53 42 52 43 51 43 50 44 49 44 49 26 48 45 47 4° 46 47 45 48 44 48 43 49 42 49 20 30 53 22 52 23 51 24 50 25 48 27 47 28 4&20 46 08 45 30 44 31 43 32 42 33 30 40 53 o° 52 00 51 01 5° 03 49 °4 48 05 47 06 45 °9 44 11 43 11 42 13 40 50 52 34 51 35 50 37 49 37 4= 39 47 41 46 42 45 44 44 45 43 48 42 48 41 50 50 7 00 52 04 51 06 50 07 49 °9 48 11 47 12 46 14 45 16 44 18 43 20 42 22 41 24 7 00 10 51 31 50 33 49 36 48 37 47 39 46 41 45 43 44 4° 43 48 42 5° 41 51 40 54 10 20 5° 5° 49 58 48 59 48 02 47 03 46 05 45 07 44 " 43 13 42 16 41 19 40 21 20 30 50 16 49 18 48 21 47 22 4° 25 45 27 44 3° 43 33 42 35 41 39 40 41 39 45 30 40 49 33 48 35 47 37 46 39 45 41 44 45 43 48 42 52 41 54 40 58 40 02 39 °5 40 50 48 46 47 48 4° 51 45 53 44 5° 44 00 43 03 42 07 41 09 40 14 39 18 38 22 50 8 00 47 54 46 57 46 00 45 03 44 06 43 °9 42 13 41 17 40 21 39 25 38 3" 37 35 8 OO 10 46 59 46 02 45 05 44 08 43 11 42 15 41 19 40 24 39 29 38 34 37 39 3° 44 IO 20 46 00 45 03 44 06 43 09 42 14 41 17 40 22 39 27 38 33 37 38 36 44 35 5° 20 30 44 55 43 59 43 03 42 06 41 10 40 16 39 21 38 26 37 32 3638 35 45 34 53 30 40 43 47 42 50 41 54 40 58 40 03 39 09 37 58 38 14 37 21 36 27 35 35 34 28 34 42 33 5° 40 50 42 32 4i 3° 4041 39 46 38 51 37 °5 36 11 35 19 33 36 32 45 50 9 00 41 12 40 17 39 22 38 28 37 34 3° 41 35 49 34 57 34 06 33 15 32 24 31 35 9 OO 10 39 48 3852 37 59 37 05 3° 13 35 21 34 3° 33 39 32 48 31 59 31 09 30 21 10 20 38 16 37 23 3° 30 35 37 34 46 33 55 33 °4 32 16 31 27 30 37 29 49 29 °3 20 30 36 39 35 47 34 56 34 °4 33 13 32 24 3' 35 30 47 29 59 29 13 28 26 27 41 30 40 34 56 34 04 33 14 32 24 31 35 30 47 30 00 29 14 28 28 27 42 26 58. 25 14 40 SO 33 06 32 16 31 28 30 39 29 52 29 "5 28 20 27 35 26 51 26 08 25 25 24 43 SO 10 00 31 10 30 21 29 35 28 49 28 03 26 08 27 19 26 35 25 53 25 10 24 29 23 48 23 09 10 00 10 29 06 28 21 27 35 26 52 25 26 24 45 24 04 23 24 22 46 22 07 21 30 10 20 26 57 26 13 25 31 24 48 24 08 23 28 22 50 22 12 21 35 20 59 20 22 19 47 20 30 24 39 23 58 23 19 22 39 22 02 21 25 20 49 20 14 19 40 19 °7 18 33 18 01 30 40 22 15 21 38 21 01 20 26 19 50 19 17 18 44 18 13 17 41 17 11 16 40 16 11 40 50 19 45 19 11 18 38 18 06 17 35 n 03 16 35 16 06 15 38 15 ii 14 44 14 17 SO 11 00 17 08 1° 39 16 09 15 42 15 14 14 47 14 22 13 5° 13 31 13 07 12 44. 12 21 11 OO ; 10 14 27 14 01 13 3° 13 12 12 48 12 27 12 04 II 43 11 22 11 02 10 42 10 22 IO 20 11 40 II 19 10 59 10 39 10 20 10 02 \ 9 44 9 26 9 °9 852 8 3° 8 21 20 30 8 48 8 32 8 17 8 02 7 47 7 34 7 20 7 07 ° 54 6 41 6 29 6 18 30 . 40 5 54 5 43 5 33 5 23 5 13 5 04 4 54 4 45 4 37 4 29 4 20 4 12 40 50 2 58 2 52 2 47 2 42 2 37 2 32 2 27 2 23 2 19 2 15 2 10 2 06 50 ' 12 00 00 00 00 00 t 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and' when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 35 AZIMUTH OR TRUE BEARING. LATITUDE 7°. DECLINATION— SAME NAME AS-I,ATITUDE. latitude: 7°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / / / / 1 t / ' / / / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 O OO 10 2 33 2 27 2 22 2 16 2 10 2 05 2 00 1 56 1 51 1 46 1 42 I3 ? 10 20 5 05 4 53 4 42 4 31 4 20 4 10 4 00 3 50 3 42 3 32 3 24 3 I 6 20 30 40 50 30 7 34 7 17 7 00 6 44 6 29 6 14 5 59 5 45 5 32 5 18 505 t% 40 10 02 9 39 9 17 8 56 » 35 815 7 56 7 38 7 19 7 02 6 45 50 12 24 " 57 11 30 11 04 10 39 10 15 9 51 9 28 9 06 8 44 8 23 8 02 1 00 14 43 14 11 13 39 13 09 12 39 12 10 11 43 11 15 10 50 10 24 9 59 9 34 1 OO 10 16 58 16 20 15 44 15 10 14 37 14 °3 13 32 13 °° 12 31 12 01 11 33 11 05 10 20 20 19 06 18 25 17 45 17 06 16 29 15 53 15 17 14 42 14 09 13 36 ' 13 04 12 33 30 21 08 20 24 19 40 18 59 18 18 17 37 16 59 16 21 15 44 15 08 14 32 13 58 30 40. 23 °5 22 17 21 31 20 45 20 02 19 18 1836 17 56 17 16 16 36 15 58 15 20 4P 50 24 54 24 04 23 15 22 27 21 40 20 54 20 09 19 26 18 43 18 01 17 19 16 39 50 2 00 26 39 25 46 24 53 24 03 23 14 22 25 21 38 20 52 20 06 19 22 18 38 17 56 2 00 10 20 30 40 10 28 15 27 21 26 27 25 34 24 43 23 52 23 02 22 14 21 26 20 39 19 52 19 08 20 29 47 28 50 27 54 26 59 26 07 25 14 24 22 23 31 22 4-1 21 52 21 04 20 17 30 3' 11 30 14 29 16 28 20 27 25 26 30 25 38 24 45 23 53 23 02 22 12 21 23 40 32 3° 31 31 30 33 29 34 2838 27 43 26 48 25 54 25 01 ■24 08 23 15 22 25 50 33 43 32 42 31 43 30 44 29 47 28 49 27 53 2658 26 04 25 09 24 16 23 24 50 3 00 34 5° 33 49 3248 31 49 30 51 29 52 28 55 27 58 27 02 26 07 25 12 24 19 3 00 10 10 35 52 34 50 33 49 32 49 31 50 30 50 29 52 28 55 27 58 27 01 26 05 25 10 20 36 48 35 46 34 45 33 44 32 44 31 44 3° 45 29 46 28 48 27 5i 26 54 25 58 20 30 30 37 39 36 37 35 35 34 33 33 33 32 33 31 33 30 34 29 35 28 37 27 39 26 42 40 38 25 37 23 36 21 35 19 34 19 33 18 32 18 31 18 30 18 29 19 28 21 27 23 40 50 39 08 3805 37 03 36 01 35 00 33 58 32 57 31 58 30 58 29 58 28 59 28 00 50 4 OO 39 45 38 42 37 39 36 38 35 37 34 34 33 34 32 33 31 33 30 33 29 33 28 34 4 00 10 10 40 18 39 15 38 13 37 11 36 10 35 07 34 06 33 06 32 05 31 05 30 04 29 05 20 40 47 39 44 3841 37 40 3638 35 36 34 35 33 34 32 33 31 32 30 32 29 32 20 30 41 II 40 09 39 07' 38 04 37 °3 36 01 35 00 33 58 32 57 31 57 " 30 56 29 56 30 40 41 32 40 30 39 28 38 27 37 24 36 22 35 21 34 21 33 19 32 18 31 17 30 17 40 50 41 5° 40 48 39 46 38 44 37 42 36 40 35 39 34 3? 33 37 32 36 31 34 30 34 50 5 OO 42 03 41 01 40 00 3858 37 56 36 55 35 53 34 52 33 51 32 50 31 49 30 49 5 00 io 42 13 41 11 40 11 39 09 38 07 37 06 36 05 35 °4 34 °2 33 02 32 01 31 00 10 20 42 20 41 19 40 17 39 1° 38 15 37 14 36 12 35 12 34 10 33 10 32 09 31 08 20 30 42 23 41 22 40 21 39 20 38 19 37 18 36 17 35 16 34 16 33 15 32 14 31 13 30 40 42 2 3 41 23 40 22 39 21 38 20 37 19 36 18 35 19 34 18 33 17 32 16 31 15 40 50 42 19 41 19 40 18 39 18 38 18 37 18 36 17 35 17 34 16 33 1° 32 16 31 15 50 6 00 42 13 41 13 40 13 39 13 38 13 37 12 36 12 35 12 34 12 33 12 32 11 31 11 6 00 IO 42 03 41 03 40 03 39 03 38 04 37 03 36 04 35 04 34 04 33 05 32 04 31 05 10 20 41 50 40 51 39 51 38 52 37 52 36 52 35 53 34 54 33 55 32 55 31 56 30 56 20 30 41 34 40 34 39 36 38 37 37 38 3° 39 35 40 34 40 33 41 32 43 31 43 30 45 30 40 41 14 40 16 39' 17 38 18 37 20 36 21 35 22' 34 24 33 25 32 27 31 28 30 29 40 50 40 52 39 54 38 55 37 58 36 59 36 00 35 °2 34 °4 33 06 32 08 31 09 30 12 50 7 OO 40 26 39 28 38 3° 37 32 36 34 35 36 34 39 33 42 32 43 31 46 30 48 29 51 7 00 10 39 57 38 59 38 02 37 04 36 07 35 10 34 12 33 16 32 19 31 22 30 25 29 28 10 20 39 24 38 27 37 30 36 33 35 36 34 39 33 43 32 47 31 51 30 54 29 58 29 02 20 30 38 48 37 52 3656 35 59 35 03 34 06 33 11 32 16 31 20 30 24 29 28 28 33 30 40 38 09 37 13 36 17 35 21 34 26 33 31 32 35 31 41 30 45 29 50 2856 28 01 40 50 37 27 36 32 35 36 34 41 33 47 32 51 31 57 31 03 30 08. 29 14 28 20 27 27 50 8 OO 36 40 35 46 34 51 33 57 33 03 32 08 31 15 30 22 29 28 28 35 27 42 26 50 8 00 10 35 51 34 57 34 °3 33 09 32 16 31 23 30 30 29 38 28 46 27 53 27 01 26 10 10 20 34 57 34 04 33 11 32 18 31 26 3° 34 29 42 28 51 28 00 27 08 26 17 25 27 20 SO 34 00 33 08 32 15 31 24 30 33 2 2 4 J 28 51 28 01 27 10 26 21 25 30 24 42 30 40 32 59 32 08 31 17 30 26 29 36 28 46 27 56 27 07 26 18 25 30 24 42 23 53 40 50 31 54 31 04 30 14 29 25 28 36 27 46 26 58 26 11 25 23 24 36 23 48 23 02 50 9 OO 30 45 29 56 29 °7 28 19 27 32 26 44 25 58 25 11 24 25 23 39 22 54 22 08 9 00 10 29 32 28 45 27 57 27 11 26 26 25 39 24 53 24 09 ■ 23 23 22 40 21 55 21 12 10 20 28 15 27 30 26 44 25 59 25 14 24 3° 23 46 23 03 22 20 21 37 20 55 20 14 20 30 26 55 26 10 25 26 24 44 24 01 23 17 22 35 21 54 21 13 20 32 19 52 19 12 30 40 25 3° 24 47 24 06 23 24 22 43 22 02 21 22 20 43 20 03 19 24 18 46 18 08 40 50 24 02 23 21 22 41 22 01 21 22 20 43 20 05 19 28 18 51 18 14 17 37 17 01 50 10 OO 22 30 21 50 21 12 20 35 19 59 19 21 18 46 18 IP 'I 3 £ 17 01 16 27 15 54 10 00 • IO 20 53 20 17 19 40 19 06 18 32 17 57 17 23 16 51 16 18 15 46 15 14 14 42 10 20 19 13 18 40 18 06 17 33 17 01 16 29 15 58 15 28 14 58 14 28 13 59 13 29 20 30 17 3° 1658 16 27 15 58 15 28 14 59 14 30 14 02 13 34 13 07 12 41 12 15 30 40 15 42 15 13 14 47 14 19 13 52 13 26 13 09 12 35 12 10 11 46 II 21 10 58 40 50 13 51 13 27 13 °2 12 38 12 I4 11 51 11 29 11 05 10 43 10 22 10 00 9 39 50" 11 OO II 58 II 36 II 15 10 54 10 33 10 13 9 54 9 35 9 15 8 5° 8 37 !- x i 11 00 10 10 03 9 44 9 26 9 09 8 52 8 34 8 18 8 02 7 45 ' 7 30 7 14 658 10 20 8 05 7 50 7 36 7 21 7 07 6 53 6 40 6 26 6 14 6 01 5 48 5 35 20 30 6 05 5 55 5 43 5 33 5 22 5 12 5 01 4 51 4 42 4 32 4 22 4 12 30 40 4 °5 3 57 3 49 3 42 3 35 3 28 3 22 3 15 3 08 3 01 2 56 2 49 40 50 2 02 1 59 1 55 1 51 1 48 1 44 1 40 I 37 1 35 1 31 1 28 1 25 50 12 00 00 00 00 00 00 00 00 OO' 00 00 00 000 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 36 AZIMUTH OR TRUE BEARING. LATITUDE 7°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 7°. Hour An gle. 60° 61° 62° [63° 64° 65° 66° | 67° |68° 69° 70° Hour Angle* h. m. o / / / / / / r / / ' / li. m. 00 00 00 00 00 00 00 00 00 00 00 00 OO 10 I 34 1 30 1 26 1 22 1 18 1 15 1 11 ■ 1 08 1 04 1 01 57 10 20 3 °7 3 00 2 51 2 44 2 37 2 29 2 22 2 15 2 08 2 01 1 54 20 30 40 50 30 4 4° 4 29 4 16 4 05 3 54 3 43 3 32 3 23 3 12 3 °2 2 52 40 6 12 5 56 5 41 5 26 5 10 4 5° 4 43 4 28 4 15 4 02 3 49 50 7 42 7 23 7 04 6 45 6 27 6 08 5 51 5 34 5 18 5 °i 4 45 1 00 9 " 8 48 8 25 8 03 7 4i 7 20 7 00 638 6 19 5 59 5 4° 1 OO 10 10 38 10 11 9 45 9 19 10 06 8 30 8 06 7 43 7 20 6 57 6 34 IO 20 20 12 02 11 32' 11 03 10 34 9 39 9 12 8 45 8 19 7 53 7 28 30 13 24 12 51 12 19 11 47 11 16 1° 45 10 14 9 45 9 16 8 48 8 19 30 40 50 ■ 40 14 44 14 08 13 3i 12 57 12 23 11 49 11 17 10 44 10 13 9 4i 9 IO* 50 16 00 15 21 14 43 14 °5 13 28 12 53 12 17 11 42 II 08 1° 33 9 59 2 00 17 13 16 32 15 51 15 " 14 31 13 53 13 15 12 37 12 01 11 24 10 48 2 OO 10 20 10 18 24 17 40 165° 16 14 15 32 14 51 14 11 13 3i 12 52 12 13 II 34 20 19 3i 18 44 17 59 17 14 16 31 15 47 15 04 14 22 13 41 13 00 12 19 30 20 35 19 4° 18 59 18 13 17 26 16 41 15 56 15 11 14 28 13 45 13 °2 30 40 21 35 20 45 19 5° 19 07 18 18 17 32 16 45 15 58 15 13 14 28 13 43 40 50 22 32 21 40 20 49 19 59 19 09 18 20 17 32 16 44 15 5° 15 09 14 22 50 3 OO 23 25 22 32 21 39 20,47 19 57 19 06 18 16 J l 2 § 16 36 15 48 15 00 3 OO 10 24 IS 23 21 22 27 21 34 20 41 19 5° 18 58 18 06 17 15 16 25 15 35 10 20 25 01 24 06 23 11 22 17 ■ 21 22 20 29 19 3° 18 43 17 51 16 59 16 08 20 30 25 45 24 49 23 52 22 57 22 02 21 07 20 12 19 18 18 25 17 32 16.39 30 40 26 25 25 27 24 31 23 34 22 38 21 42 20 47 19 51 18 56 18 02 17 °9 40 50 27 01 26 04 25 06 24 08 23 11 22 15 21 18 20 21 19 26 18 31 17 35 50 4 OO 27 34 26 36 25 37 ' 24 39 23 41 22 44 21 46 20 48 19 53 18 5° 18 00 4 OO 10 28 04 27 06 26 06 25 08 24 09 23 II 22 12 21 14 20 17 19 20 18 22 10 20 28 32 27 31. 26 32 25 33 24 33 23 34 22 36 21 37 20 39 19 41 18 43 20 30 28 55 27 55 26 55 25 55 24 55 23 56 22 56 21 57 20 59 20 00 19 01 30 40 29 16 28 16 27 15 26 14 25 14 24 14 23 15 22 15 21 16 20 16 19 18 40 50 29 33 28 32 27 32 26 31 25 31 24 3° 23 3° 22 30 21 31 20 31 19 31 50 5 00 29 47 28 47 27 46 26 45 25 45 24 44 23 44 22 43 21 43 20 44 19 43 5 OO 10 29 59 28 58 27 57 2656 25 56 24 54 23 54 22 53 21 54 20 54 19 52 10 20 30 07 29 06 28 05 27 04 26 03 25 °3 24 02 23 01 22 01 21 01 20 00 20 30 30 13 29 11 28 11 27 10 26 09 25 08 24 08 23 06 22 06 21 06 20 05 30 40 3° 14 29 15 28 14 27 13 26 12 25 II 24 10 23 °9 22 10 - 21 09 20 08 40 50 3° 15 29 14 28 13 27 12 26 12 25 12 24 11 23 11 22 11 21 10 20 09 50 6 do 30 11 29 11 28- 10 27 10' 26 09 25 1° 24 10 23 09 22 09 21 09 20 08 6 00 io 30 05 20 06 28 57 28 06 27 °5 26 05 25 06 24 05 23 °5 22 05 21 05 20 05 IO 20 29 57 27 57 26 57 25 57 24 59 23 59 22 58 21 59 21 00 20 00 20 30 29 45 28 46 27 4° 26 47 25 48 24 4? 23 49 22 50 21 5 1 20 52 19 53 30 40 29 3° 28 31 27 33 26 34 25 36 24 3° 23 38 22 39 21 39 20 42 19 43 40 50 29 14 28 16 27 17 26 19 25 20 24 23 23 24 22 26 21 28 20 30 19 32 50 7 00 28 54 27 55 26 58 26 01 25 °3 24 05 23 09 22 10 21 13 20 16 19 18 7 00 10 28 31 27 33 26 37 25 4° 24 43 23 46 22 50 21 52 20 56 20 00 19 °3 10 20 28 05 27 09 26 13 25 17 24 20 23 24 22 29 21 32 20 37 19 41 18 45 20 30 27 37 26 42 25 47 24 51 23 56 23 01 22 06 21 10 20 15 19 20 18 25 30 40 27 06 26 12 25 17 24 23 23.28 22 34 21 40 20 46 19 53 18 59 18 04 40 50 26 32 25 39 24 45 23 52 22 59 22 06 21 13 20 20 19 27 18 34 17 4° 50 8 OO 25 56 25 04 24 12 23 19 22 27 21 35 20 43 19 51 1859 18 08 17 15 8 OO 10 25 17 24 27 23 35 22 43 21 52 21 02 20 11 19 19 18 30 17 39 16 49 IO 20 24 36 23 45 22 55 22 05 21 16 20 26 19 37 18 47 17 58 17 09 16 20 20 30 23 52 23 02 22 14 21 25 20 37 19 48 19 00 18 11 17 24 16 37 15 49 30 40 23 05 22 18 21 29 20 42 19 56 19 09 18 22 17 35 16 49 16 03 15 1° 40 50 22 10 21 29 20 43 19 58 19 12 18 27 17 42 16 56 16 12 15 27 14 43 SO 9 00 21 23 20 38 19 54 19 10 18 26 17 43 16 59 16 16 15 32 14 50 14 06 9 00 10 20 29 ig 46 19 02 18 20 17 38 16 56 16 14 15 33 14 52 14 10 13 30 IO 20 19 32 18 51 18 09 17 29 16 48 16 08 15 28 14 48 14 09 13 30 12 50 20 30 18 32 17 52 17 14 16 34 15 5° 15 18 14 4° 14 02 13 25 12 47 12 10 30 40 17 30 16 52 16 16 15 39 15 02 14 26 13 5° 13 14 12 39 12 03 II 29 40 50 16 26 15 51 15 I 6 14 41 14 06 13 33 12 59 12 24 11 51 11 18 1° 45 50 10 00 15 19 14 4° 14 14 13 41 13 °8 12 37 12 06 II 33 11 02 10 32 10 01 10 00 10 14 10 13 40 13 l° 12 39 12 09 II 40 11 11 10 41 10 12 9 44 9 15 IO 20 13 00 12 32 12 04 11 37 11 09 10 42 10 14 948 9 21 8 54 8 29 20 30 11 48 11 22 10 56 10 31 10 06 9 41 9 17 8 52 8 29 8 05 7 4i 30 40 10 34 10 10 9 48 9 25 9 02 8 40 8 18 7 5° 7 35 7 14 6 52 40 50 9 19 8 58 8 37 8 18 7 58 7 38 7 19 6 59 6 40 6 21 6 02 50 11 00 8 01 7 44 7 26 7 08 651 6 34 6 17 6 01 5 44 5 28 5 12 11 OO 10 6 43 6 28 6 13 5 59 5 45 5 30 5 16 5 02 4 49 4 34 4 21 10 20 5 23 5 II 5 00 4 48 4 37 4 25 4 14 4 03 3 52 3 41 3 29 20 30 4 03 3 55 3 46 3 37 3 28 3 19 3 11 3 02 2 54 2 46 2 38 30 40 2 43 2 37 2 31 2 25 2 19 2 13 2 07 2 02 I 56 I 51 1 45 40 50 1 21 1 18 1 15 1 13 1 10 1 07 1 04 1 01 58 56 53 50 , 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when .the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 37 AZIMUTH OR TRUE BEARING. LATITUDE 8°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 8°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32= 33° 34° 35° Hour Angle. 1>. in. o / / / / / / / ' / / / / b. in. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 8 13 7 4i 7 14 6 48 625 6 05 5 45 5 27 5 12 4 57 4 43 4 30 IO 20 16 05 15 06 14 13 13 24 12 40 12 00 11 23 10 49 10 18 9 48 9 21 8 55 20 30 23 18 21 57 20 43 19 36 18 34 17 37 16 45 15 5° 15 " 14 29 13 50 13 13 30 40 29 44 28 09 26 40 25 17 24 02 2859 22 52 21 46 20 46 19 5° 18 57 18 07 17 21 40 50 35 2i 33 35 31 57 3° 25 27 4° 26 24 25 14 24 08 23 07 22 09 21 13 50 1 OO 40 10 38 20 36 36 34 58 33 25 31 59 30 37 29 20 28 07 26 58 25 53 24 51 1 00 ' 10 44 18 42 25 40 39 38 58 37 22 35 5i 34 25 33 °2 31 44 30 3° 29 20 28 13 10 20 47 47 '45 56 44 1° 42 27 40 50 39 17 37 48 36 23 35 01 33 44 32 29 31 18 20 30 50 47 48 57 47 12 45 31 43 53 42 20 40 49 39 2r 37 58 36 39 35 22 34 08 3° 4i 30 40 53 '9 51 32 49 5° 48 10 4° 33 44 59 43 3° 42 02 4° 38- 39 16 37 57 40 50 55 29 53 46 52 05 50 28 48 53 47 21 45 51 44 23 43 00 41 38 40 18 39 01 50 a 00 57 21 55 41 54 °4 52 29 5° 5° 49 25 47 5° 46 30 45 °° 43 45 42 25 41 °7 2 00 10 58 57 57 20 55 4° 54 13 52 42 51 14 49 47 48 22 4° 59 45 38 44 18 43 01 IO 20 60 19 58 47 57 15 55 45 54 1° 52 5° 51 25 50 00 4838 47 19 46 00 44 42 20 30 61 30 60 00 5832 57 04 55 38 54 14 52 51 51 28 50 08 48 49 47 31 46 14 30 40 62 31 61 05 59 39 58 14 5°5i 55 28 54 °7 52 4° 51 27 50 10 48 52 47 3° 40 50 63 24 62 00 60 37 59 15 57 54 56 33 55 13 53 54 52 37 51 21 5° °5 48 5° 50 3 00 64 09 62 48 61 28 60 07 58 49 57 3° 5° 13 54 55 53,39 52 24 51 09 49 5° 3 OO 10 64 48 63 30 62 12 60 54 59 3° 58 20 57 °4 55 48 54 33 53 20 52 06 5" 54 10 20 65 21 64 04 62 48 °i 33 60 18 59 03 57 48 5° 34 55 21 54 °9 52 57 51 45 20 30 6549 °4 34 63 21 62 07 6° 53 59 40 58 28 57 15 5° °3 54 52 53 41 52 3° 30 40 66 12 65 00 °3 47 62 36 61 23 60 13 59 01 57 5° 5° 39 55 29 54 20 53 1° 40 50 66 32 65 21 64 11 63 00 61 5° 60 40 59 29 58 20 57 1° 24 18 25 51 25 t>9 24 29 23 49 23 11 22 34 21 5° 21 19 20 44 20 09 19 35 20 23 38 22 59 22 21 21 45 21 09 20 34 20 00 19 26 18 53 18 21 17 49 30 21 55 21 18 20 43 20 08 19 34 19 02 18 30 17 58 17 28 16 58 16 29 16 00 40 19 26 18 54 18 21 17 5° 17 19 16 50 16 21 15 54 15 26 15 00 14 34 14 08 50 n 00 10 20 30 40 50 00 16 52 16 22 15 54 15 27 15 01 14 35 14 09 13 44 13 21 12 58 I 2 35 12 12 11 OO 14 12 13 47 13 23 12 59 12 37 12 16 " 53 11 33 11 13 10 53 10 34 10 14 IO 11 28 8 39 11 08 10 48 10 28 10 10 9 52 9 35 9 18 9 02 8 45 8 3° 8 15 20 8 24 8 09 7 54 7 4° 7 27 7 13 7 01 6 49 6 36 6 24 6 12 30 5 48 5 37 5 28 5 17 4 08 4 59 4 51 4 4i 4 33 4 25 4 17 4 °9 40 2 54 2 50 2 44 2 39 . 2 34 2 3° 2 26 2 21 2 17 2 13 2 09 2 0£ 50 12 ] 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ■' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 39 AZIMUTH OR TRUE BEARING. latitude: 8 0, 'declination- SAME NAME AS— LATITUDE. LATITUDE 8°. Hour An gle. 48° 49° 50° 51° 62° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li in. / ' . ° ' / / t / / / ' / / li in. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 2 35 2 30 2 24 2 18 2 12 2 08 2 02 1 57 1 52 1 48 1 44 1 39 10 20 5 " 4 59 4 47 4 3° ,6 52 4 25 636 4 15 4 °4 6 05 3 55 3 45 3 36 3 27 3 18 20 - 30 7 43 7 25 7 08 6 20 5 51 5 36 5 23 7 08 5 1° 4 5° 30 40 io 14 9 50 9 27 9 °5 8 44 8 24 8 04 7 45 7 26 6 50 6 33 40 50 12 39 12 10 it 43 11 16 10 49 10 24 10 01 9 37 9 14 851 8 30 8 09 SO 1 00 15 00 14 27 13 54 13 23 12 52 12 23 11 54 11 26 10 59 10 32 10 08 9 42 1 00 10 17 16 16 38 16 01 15 26 14 50 14 17 13 45 13 12 12 42 12 11 II 42 11 13 10 20 19 26 18 44 18 03 17 23 16 44 16 07 15 31 14 56 14 21 13 47 13 14 12 42 20 30 21 3° 20 45 20 00 19 16 1835 17 54 17 14 16 35 15 57 15 20 14 44 16 10 14 08 30 40 23 28 22 39 21 51 21 04 20 19 19 35 18,52 18 10 17 29 16 48 15 31 40 50 25 18 24 27 23 37 22 48 21 59 21 12 20 26 __'9 4i 18 57 18 14 17 32 16 50 50 2 OO, 27 03 26 09 25 16 24 24 23 34 22 43 21 55 21 08 20 22 19 35 18 51 18 08 2 00 10 28 40 27 44 26 50 25 55 25 02 26 26 24 11 23 20 '- 22 30 21 41 20 54 20 07 19 21 10 20 30 11 29 14 28 17 27 21 25 32 24 40 2348 22 57 22 07 21 18 20 30 20 30 31 35 30 37 29 39 28 41 27 45 26 50 25 5° 25 02 24 °9 23 17 22 26 21 36 30 40 32 55 31 55 3° 55 29 56 2859 28 01 27 06 26 11 25 17 24 23 23 31 22 38 40 50 34 06. 33 06 32 05 31 °5 30 06 29 08 28 11 27 15 26 19 25 24 24 31 23 36 50 3 OO 35 14 34 11 33 II 32 10 31 10 30 11 29 13 28 15 27 18 26 22 25 26 24 31 v 3 00 10 36 14 35 12 34 11 33 °9 32 08 31 °9 30 09 29 11 28 13 27 16 26 19 25 22 10 20 37 10 36 07 35 °5 34 °3 33 °2 32 02 31 02 36 02 29 °4 28 05 27 08 26 10 20 30 38 01 36 58 35 55 34 52 33 51 32 50 31 49 3° 49 29 50 28 51 27 53 26 54 30 40 38 46 37 43 36 40 35 38 34 35 33 34 32 32 31 33 3° 33 29 33 2834 27 34 40 50 39 26 38 24 37 21 36 19 35 16 34 15 33 13 32 11 31 11 30 11 29 11 28 11 50 4 00 40 03 39 °° 37 57 36 54 35 5i 34 50 33 48 32 47 31 46 30 46 29 45 28 45 4 OO 10 40 35 39 32 38 3° 37 27 36 24 35 22 34 20 33 19 32 17 31 16 30 16 29 15 10 20 41 °3 40 00 38 57 37 54 36 51 35 5° 3° 14 34 48 33 4° 32 45 3i 43 3° 43 29 42 20 30 41 26 40 23 39 21 38 19 37 16 35 12 34 1° 33 °9 32 07 31 °° 30 04 30 40 41 46 40 43 39 41 3838 . 37 36 3° 35 35 32 34 31 33 29 32 27 31 27 30 25 40 50 42 02 41 00 39 57 3856 37 53 36 52 35 5° 34 48 33 46 32 44 31 43 30 42 50 5 00 42 15 41 12 40 10 39 °9 38 06 37 °5 36 03 35 °2 34 °° 32 58 31 58 3° 56 5 00 10 42 23 41-22 40 19 39 18 38 17 37 IS 3° 13 35 12 34 1° 33 °9 32 08 31 07 10 20 42 28 41 27 4° 25 39 24 38 23 37 22 36 20 35 19 34 18 33 17 32 16 31 14 20 30 42 3° 41 30 40 28 39 27 38 26 37 25 36 24 35 23 34 22 33 20 32 20 31 19 30 40 42 29 41 28 40 28 39 27 38 26 . 37 25 36 24 35 24 34 22 33 22 32 22 31 20 40 50 42 25 41 24 40 24 39 23 38 23 37 23 36 22 35 22 34 21 33 21 32 20 31 19 50 6 00 42 16 41 16 40 16 39 17 38 16 37 16 36 16 35 16 34 16 33 15 32 16 31 15 6 00 10 42 05 41 06 40 06 39 °7 38 °6 37 °7 36 08 35 °7 34 07 33 °8 32 08 31 °8 IO 20 41 51 40 52 39 53 38 54 37 54 36 54 35 56 34 56 33 56 32 57 31 58 30 58 20 30 41 34 40 35 39 36 3838 37 38 36 39 35 41 34 41 33 42 32 43 31 45 3° 45 30 40 41 14 40 15 39 17 38 18 37 19 36 21 35 22 34 24 33 26 32 28 31 29 30 3° 40 50 40 50 39 52 38 54 37 5° 36 57 35 59 35 °I 34 °4 33 °6 32 08 31 10 30 12 50 7 OO 40 23 39 25 38 28 37 31 36 32 35 35 34 37 33 4° 32 43 31 45 30 48 29 5° 7 OO 10 39 53 38 55, 37 58 37 °l 36 04 35 °7 34 1° 33 14 32 17 31 20 30 24 29 26 IO 20 39 19 38 23 37 26 36 29 35 33 34 37 33 41 32 44 31 47 3° 51 29 56 29 00 20 30 38 42 37 46 36 5° 35 54 35 1° 34 59 34 02 33 °8 32 12 31 16 3° 21 29 26 28 30 30 40 38 02 37 06 36 II 34 20 33 26 32 31 31 37 3° 41 29 46 28 52 27 58 40 50 37 18 36 23 35 29 34 35 33 4° 32 46 31 52 30 57 30 04 29 10 28 17 27 23 50 8 00 36 32 35 37 34 44 33 49 32 56 32 02 31 09 30 17 29 23 28 30 27 38 26 45 8 00 10 35 41 34 47 33 55 33 °l 32 09 31 16 30 24 29 32 28 39 27 48 26 57 26 05 10 20 34 47 33 54 33 °2 32 10 31 17 30 26 29 35 28 44 27 53 27 03 26 12 24 21 , 20 30 33 49 32 57 32 06 31 15 3° 24 29 34 28 44 27 54 27 °4 20,14 25 26 24 36 30 40 32 48 31 56 31 07 30 16 29 27 28 37 27 49 27 00 26 12 25 '23 24 36 23 48 40 50 31 41 30 52 30 04 29 15 28 26 27 39 26 50 26 03 25 16 24 29 23 43 22 58 50 9 00 30 33 29 45 28 56 28 09 27 22 2636 25 5° 25 °3 24 18 23 32 22 48 22 03 9 00 10 29 20 28 33 27 47 27 01 26 15 25 29 24 45 24 01 23 16 22 33 21 50 21 06 10 20 28 03 27 18 26 33 25 48 25 °4 24 21 23 38 22 54 21 46 22 12 21 3° 20 48 20 07 20 30 26 42 25 59 25 15 24 33 23 5° 23 09 22 27 21 05 20 25 19 46 19 06 30 40 25 17 24 35 23 54 23 13 22 33 21 53 21 13 20 34 19 55 19 17 18 39 18 01 40 50 23 49 23 10 22 29 21 51 21 12 20 34 19 57 19 20 18 44 18 07 17 32 1656' 50 io OO. 22 17 21 39 21 02 20 25 19 48 19 14 18 38 18 02 17 29 16 55 16 21 15 47 10 00 10 20 41 20 05 19 31 18 56 18 21 17 48 17 15. 16 42 16 10 15 38 15 °7 14 36 10 20 19 01 18 28 17 56 17 24 16 52 16 22 15 51 15 21 14 51 14 22 13 53 13 24 20 30 17 19 16 48 16 18 15 49 15 20 14 51 14 23 13 56 13 29 13 °2 12 36 12 09 30 40 15 32 15 04 14 37 14 11 13 44 13 19 12 54 12 29 12 04 II 41 11 16 1° 53 40 50 13 42 13 18 12 54 12 30 12 07 11 44 II 22 11 00 10 39 10 17 9 56 9 35 50 11 00 II 5« 11 29 11 09 10 48 10 27 10 07 948 9 29 9 10 8 52 8 33 8 16 11 00 10 9 5° 9 38 9 21 9 °4 8 46 8 29 8 13 7 57 7 41 7 25 7 10 6 55 10 20 8 00 7 4* 7 31 7 16 7 03 6 49 6 36 6 23 6 11 5 58 5 46 5 34 20 30 6 01 5 50 5 4° 5 29 5 19 5 °8 4 58 4 48 4 39 4 29 4 20 4 11 30 40 4 02 3 54 3 47 3 4° 3 33 3 26 3 20 3 13 3 °6 3 00 2 53 2 48 40 50 2 01 1 57 1 53 1 5° 1 47 1 43 I 40 1 37 1 33 1 30 I 27 1 24 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO 1 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 40 AZIMUTH OR TRUE BEARING. LATITUDE i °. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 8°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. to. in. o / / / / 1 / t / / / / b. hi. O 00 00 00 00 00 00 00 00 00 00 00 00 O OO 10 i 35 1 31 1 27 1 23 2 38 1 15 1 12 1 09 1 °5 1 02 58 10 20 30 40 50 3 io 3 02 2 53 2 46 2 3° 2 24 2 16 2 09 2 03 156 20 4 44 4 31 4 20 4 08 3 57 3 4° 3 35 3 25 3 14 3 03 2 54 30 6 17 6 01 5 45 5 29 5 15 5 0° 4 45 4 32 4 17 4 °4 3 5° 40 7 48 7 28 7 09 6 50 6 31 6 13 5 55 5 38 5 21 5 °4 4 47 50 1 00 9 18 8 54 8 3? 8 08 7 46 7 24 7 °3 6 43 6 22 6 02 5 43 1 OO lO 20 30 40 50 10 46 10 18 9 5i 9 26 9 00 8 35 8 11 7 47 7 23 7 00 6 38 10 12 11 11 40 11 10 10 41 10 12 9 45 9 17 8 50 8 23 7 56 7 31 20 13 34 13 00 12 27 " 55 11 22 10 52 10 21 9 51 9 21 8 52 8 24 30 H 54 14 17 13 41 13 °5 12 31 n 57 11 23 10 51 10 19 9 46 9 15 40 16 11 15 31 14 52 14 M '3 37 13 00 12 24 11 48 11 13 10 39 10 05' 50 2 00 10 20 30 40 50 17 25 16 42 16 02 15 20 14 40 14 01 13 22 12 44 12 07 11 30 1° 53 2 OO 18 35 17 51 17 07 16 24 15 41 14 59 14 18 13 38 12 58 12 19 11 40 lO 19 43 18 56 18 10 17 24 16 40 15 55 15 12 14 3° 13 47 13 °5 12 25 20 20 46 19 57 19 10 18 22 17 36 16 50 16 04 15 20 14 35 13 51 13 07 30 21 47 20 57 20 07 19 18 18 29 17 41 16 53 16 07 15 20 14 34 13 49 40 22 44 21 51 21 01 20 09 19 19 18 29 17 39 16 51 16 03 15 15 14 28 50 3 00 10 20 30 40 50 23 38 22 44 21 51 20 58 20 06 19 14 18 23 17 34 16 44 15 54 15 °5 3 OO 24 27 23 32 22 38 21 44 20 51 19 58 19 °5 18 14 17 22 16 31 15 41 lO 25 14 24 18 23 22 22 27 21 32 20 38 19 44 18 51 17 59 17 06 16 14 20 25 57 25 00 24 03 23 °7 22 11 21 15 20 20 19 26 18 32 17 38 16 45 30 26 36 25 39 24 41 23 44 22 47 21 50 20 54 20 00 19 04 18 08 17 14 40 27 13 26 14 25 16 24 17 23 20 22 23 21 25 20 29 19 33 18 37 17 41 50 4 00 10 27 46 26 46 ?5 47 24 48 23 5° 22:51 21 53 20 57 19 59 19 02 . 18 06 4 00 28 15 27 15 26 16 25 16 24 17 23 18 22 19 21 22 20 23 19 26 18 28 10 20 30 40 28 42 27 41 26 41 25 40 24 41 23 41 22 43 21 44 2° 45 19 46 18 48 20 29 05 28 04 27 °4 26 03 25 °3 24 °3 23 02 22 04 21 05 20 05 19 06 30 29 24 28 23 27 23 26 22 25 22 24 22 23 20 22 22 21 21 20 21 19 22 40 50 29 41 28 40 27 39 26 38 25 38 24 3° 23 3° 22 36 21 35 2° 35 19 35 SO 5 00 10 20 30 29 55 30 06 2854 27 53 26 51 25 5° 24 5° 23 49 22 49 21 48 20 48 19 47 5 00 29 °4 28 04 27 02 26 01 25 00 23 59 22 59 21 58 20 57 19 57 10 30 13 29 12 28 11 27 10 26 09 25 °7 24 07 23 °7 22 05 21 05 20 04 20 30 18 29 17 28 16 27 15 26 14 25 12 24 11 23 12 22 11 21 10 20 09 30 40 30 20 29 19 28 18 27 17 26 17 25 15 24 15 23 15 22 13 21 13 20 12 40 50 30 19 29 18 28 18 27 16 26 17 25 16 24 15 23 15 22 13 21 13 20 12 50- 6 00 30 15 29 14 28 14 27 13 26 14 25 12 24 12 23 13 22 11 21 11 20 11 6 00 10 30 08 29 08 28 09 27 08 26 08 25 °8 24 °7 23 08 22 07 21 07 20 08 10 20 29 59 28 59 28 00 26 59 26 00 25 °° 24 00 23 01 22 01 21 01 20 02 20 30 40 50 29 46 28 47 27 48 26 48 25 5° 24 5° 23 51 22 52 21 52 20 53 19 54 30 29 32 28 33 27 34 26 35 25 3° 24 37 23 39 22 40 21 42 20 43 •19 44 40 29 13 28 16 27 17 26 19 25 21 24 23 23 24 22 27 21 29 20 31 19 33 50 7 00 28 53 27 55 26 58 26 01 25 °3 24 06 23 °8 22 11 21 13 20 16 19 19 7 OO lO 20 28 30 27 33 26 36 25 39 24 43 23 4° 22 49 21 53 20 56 1? 59 19 03 10 28 04 27 07 26 12 25 16 24 20 23 24 22 28 21 33 20 37 19 41 18 45 20 30 27 36 26 40 25 45 24 5° 23 55 23 °° 22 04 21 11 20 15 19 20 18 25 30 40 27 04 26 09 25 15 24 21 23 27 22 33 21 39 20 46 19 51 18 57 18 04 40 50 26 30 25 37 24 44 23 5° 22 57 22 04 21 10 20 19 19 25 18 33 17 40 50 8 00 25 53 25 01 24 09 23 16 22 25 21 33 20 4I 19 49 1858 18 06 17 15 8 00 10 25 13 24 22 23 31 22 41 21 51 21 00 20 09 19 19 18 28 17 38 16 47 10 20 24 32 23 43 22 53 22 02 21 13 20 24 19 34 18 46 17. 56 17 07 16 18 20 30 23 47 22 59 22 10 21 21 20 34 19 46 18 58 18 10 17 22 16 35 15 47 30 40 23 00 22 13 21 26 20 39 19 53 19 06 18 20 17 34 16 47 16 01 15 15 40 50 22 10 21 25 20 39 19 53 19 °9 18 24 17 38 1° 55 16 09 15 25 14 41 50 9 00 21 18 20 34 19 5° 19 06 18 22 17 39 16 56 16 13 15 3° 14 48 14 °5 9 00 10 20 23 19 41 18 58 18 16 17 34 16 53 16 II 15 31 14 49 14 09 13 28 10 20 19 26 18 45 18 05 17 24 16 44 16 04 15 25 14 46 14 07 13 27 12 48 20 30 18 27 17 48 17 09 16 30 15 52 15 14 14 36 14 00 13 23 12 45 12 08 30 40 17 24 16 48 16 11 15 35 14 58 14 22 13 47 13 12 ' 12 36 12 02 11 26 40 50 16 20 15 46 15 12 14 37 14 °3 13 29 12 55 12 23 11 49 II 16 1° 43 50 10 00 15 14 14 42 14 09 13 3° 13 °° 12 34 12 03 11 31 II 00 16" 29 9 59 10 00 lO 14 06 13 35 13 06 12 35 12 06 11 36 11 07 10 39 10 10 9 42 9 13 10 20 12 56 12 27 12 00 11 32 11 05 10 38 10 11 9 45 9 18 8 53 8 26 20 30 40 II 44 II 18 1° 53 10 28 10 03 9 39 9 14 851 8 26 8 03 7 39 30 10 29 10 07 9 44 9 21 9 00 8 37 8 15 7 54 7 33 7 12 6 50 40 50 9 15 8 54 8 35 8 15 7 55 7 36 7 16 6 58 6 38 6 19 6 01 50 11 00 P 8 7 40 7 23 7 06 6 49 6 32 6 16 6 00 5 43 5 27 5 11 11 00 10 6 40 6 25 6 II 5 57 5 43 5 28 5 15 5 °i 4 46 4 33 4 20 10 20 5 21 5 09 4 57 4 47 4 35 4 24 4 13 4 01 3 5° 3 39 3 29 20 30 4 02 3 53 3 44 3 35 3 26 3 18 3 °9 3 Pi 2 53 2 45 2 37 30 40 2 42 2 36 2 30 2 24 2 18 2 13 2 07 2 01 I 5° 1 51 1 46 40 50 1 21 I 17 1 14 1 12 1 09 1 06 I 03 I 00 57 55 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East* and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 41 AZIMUTH OR TRUE BEARING. LATITUDE 9 3, DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 9°. Hour Anglic. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ik. in. o / / ' / / / 1 / t / / / b. 111. OO . 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 30 40 50 10 8 45 8 10 7 38 7 10 6 45 6 22 6 01 5 42 5 24 5 °9 4 54 4 39 20 17 04 15 58 M 5* 14 05 13 17 12 32 II 53 11 16 10 41 10 11 9 42 9 14 30 24 37 23 08 21 47 20 34 19 26 18 24 17 28 16 34 15 46 15 01 14 19 13 4° 40 31 18 29 33 27 56 26 27 25 05 23 49 22 39 21 34 20 34 19 37 18 44 17 54 50 37 01 35 °7 33 21 31 42 30 10 28 45 27 24 26 10 25 00 23 53 22 52 21 53 1 00 41 52 39 54 38 03 36 18 34 4° 33 08 31 41 30 19 29 02 27 49 26 41 25 35 1 OO 10 20 30 40 50 10 45 59 44 00 42 07 40 21 38 40 37 °3 35 33 34 °° 32 43 31 25 30 12 29 01 20 49 27 47 29 45 37 43 50 42 08 40 30 3« 5° 37 27 36 02 34 4° 33 23 32 08 30 52 21 50 27 48 37 46 51 45 09 43 31 41 57 40 27 39 °° 37 36 36 16 34 59 40 54 49 5B53 5258 51 12 49 28 47 47 46 u 44 37 43 °6 41 38 40 14 38 53 37 34 50 55 07 53 24 51 42 50 05 48 30 4° 57 45 27 43 59 42 37 41 12 39 53 2 00 5841 5658 55 18 53 40 52 04 5° 31 49 00 47 31 46 04 44 4° 43 18 41 58 2 OO lO 20 30 40 50 lO 60 12 58 33 5656 55 21 53 49 52 18 50 48 49 20 47 55 46 31 45 1° 43 5° 20 61 29 59 54 58 20 56 49 55 18 53 5° 52 22 50 57 49 33 48 n 46 50 45 3° 30 62 36 61 05 59 35 58 05 5638 55 11 53 46 52 22 51 00 49 39 48 19 49 38 47 01 40 63 33 62 04 60 37 59 " 57 46 56 22 54 59 53 37 52 16 5° 57 48 21 50 64 21 62 56 61 31 60 08 58 45 57 24 5° °3 54 43 53 23 52 06 50 49 49 32 3 00 65 02 63 40 62 18 60 58 59 38 58 17 56 59 55 4° 54-23 53 °6 51 5i 50 35 3 OO lO 20 30 40 50 10 6538 64 18 62 59 61 40 60 21 59 °4 57 47 56 31 55 15 54 °° 52 45 51 32 20 66 08 64 50 6 3 33 62 16 61 00 59 44 58 29 57 14 56 00 54 46 53 33 52 21 30 66 32 65 16 64 01 62 47 6; 33 60 20 59 °° 57 52 56 39 55 28 54 16 53 04 40 6652 65 39 64 25 63 13 62 00 60 48 59 37 58 25 57 14 56 02 54 52 53 42 50 67 08 65 57 64 46 63 35 62 23 61 13 60 02 58 52 57 42 56 33 55 24 54 14 4 00 67 21 66 11 65 01 63 52 62 42 61 33 60 24 59 15 5 I°Z 5658 55 49 54 41 4 00 10 20 30 40 50 i 10 67 29 66 22 65 13 64 05 62 57 61 49 60 42 59 33 58 26 57 19 56 12 55 05 20 67 36 66 29 65 22 64 15 63 08 62 02 60 55 59 48 5841 57 36 56 30 55 23 30 67 39 66 34 65 27 64 21 63 16 62 11 61 05 59 59 58 54 57 49 56 43 55 38 40 67 40 66 34 65 30 64 25 63 21 62 16 61 12 60 07 59 02 57 58 56 53 55 49 50 67 37 66 33 65 30 64 26 63 23 62 19 61 15 60 11 59 08 58 04 57 01 55 56 5 00 67 32 66 30 65 27 64 24 63 21 62 18 61 16 60 13 59 1° 58 07 57 °4 56 01 5 OO 10 • 20 30 40 50 lO 67 25 66 23 65 21 64 19 63 17 62 16 61 13 60 10 59 °9 58 07 57 °4 56 02 20 67 16 66 15 65 13 64 12 63 11 62 09' 61 08 60 06 59 05 58 03 57 °l. 55 59 30 67 05 66 04 65 °3 64 02 63 02 62 00 60 59 59 58 58 57 57 56 56 56 55 54 40 6651 65 51 64 50 6 3 5° 62 49 61 49 60 48 59 47 58 47 57 47 56 47 55 45 50 66 34 65 34 64 34 63 35 62 35 61 35 6° 35 59 34 58 35 57 35 56 35 55 35 6 00 66 16 65 16 64 16 63 18 62 18 61 19 60 18 59 18 58 19 57 20 56 19 55 20 6 00 10 20 30 40 50 lO 65 56 64 56 63 57 62 57 61 58 60 59 59 59 59 00 5838 58 01 57 °2 56 02 55 03 20 65 32 64 33 63 34 62 35 61 35 60 37 59 37 57 40 56 41 55 41 54 42 30 65 06 64 08 63 09 62 10 61 10 60 12 59 13 58 14 57 16 56 17 55 17 54 19 40 64 38 63 39 62 40 61 42 60 43 59 44 58 45 57 47 56 48 55 50 54 51 53 53 50 64 08 63 08 62 10 61 11 60 12 59 14 58 15 57 17 56 18 55 20 54 22 53 23 7 00 63 34 62 36 61 36 60 37 59 39 58 41 57 42 5° 43 55 45 54 47 53 49 52 5° 7 OO 10 20 30 40 50 lO 62 58 61 59 61 00 60 00 59 °2 58 04 57 °5 5° °7 55 09 54 11 53 12 52 15 20 62 18 61 19 60 20 59 21 58 22 57 24 5° 25 55 27 54 29 53 3i 52 33 51 36 30 61 36 60 37 59 37 5838 57 39 56 41 55 42 54 43 53 46 52 48 51 50 5° 53 40 60 51 59 50 58 51 57 52 56 52 55 55 54 56 53 57 53 °o 52 02 51 03 50 14: 50 06 50 60 01 59 0I 58 01 57 02 56 02 55 04 54 05 53 °6 52 09 51 11 49 1° H 00 59 °7 58 07 57 07 56 08 55 °8 54 09 53 11 52 12 51 15 5° 17 49 19 48 22 s 00 lO 20 30 40 50 10 58 10 57 °9 56 08 55 °9 54 10 53 II 52 12 51 14 50 15 49 18 48 21 47 24 20 57 08 56 °7 55 06 54 06 53 06 52 °7 51 °9 50 10 49 13 48 15 47 18 46 21 30 56 01 55 °° 53 59 52 58 51 59 5° 5? 50 01 49 02 48 04 47 08 46 11 45 15 40 54 49 53 47 52 46 51 45 50 46 49 4° 48 48 47 49 46 52 45 55 44 58 44-03 50 53 3<= 52 29 51 28 50 27 49 27 48 28 47 29 46 31 45 34 44 37 43 41 42 45 9 00 52 06 5 1 °4 5° °3 49 02 48 03 47 «4 46 05 45 °7 44 11 43 14 42 19 41 24 9 OO 10 20 30 40 50 10 50 3 6 49 33 48 32 47 31 46 32 45 33 44 35 43 37 42 41 41 45 40 51 39 56 20 48 58 47 5 6 46 54 45 53 44 55 43 57 42 58 42 01 41 06 40 11 39 18 38 23 30 47 12 46 09 45 °8 44 08 43 09 42 12 41 15 40 18 39 24 38 30 37 36 36 44 40 45 18 44 *5 43 15 42 15 41 17 40 20 39 24 38 28 37 35 36 43 35 49 34 58 50 43 14 42 12 41 13 40 13 39 * 6 38 20 37 25 36 32 35 39 34 48 33 57 33 07 10 00 41 01 40 00 39 0I 38 04 37 °7 36 13 35 19 34 26 33 36 32 47 31 57 31 09 10 00 lO 20 30 40 50 10 38 36 37 37 36 39 35 44 34 49 33 57 33 05 32 13 31 25 3° 37 29 51 29 °4 20 36 01 35 °4 34 °8 33 14 32 21 31 3i 30 42 29 53 29 °7 28 22 27 37 26 51 30 33 13 32 19 31 26 3° 35 29 45 2857 28 10 27 24 26 41 25 58 25 16 24 35 40 30 15 29 23 28 33 27 44 26 58 26 14 25 3° 24 47 24 07 23 27 22 49 22 II 50 27 03 26 15 25 29 24 45 24 02 23 21 22 41 22 03 21 25 20 49 20 15 19 41 11 00 23 39 22 56 22 15 21 35 20 56 20 20 I?45 19 10 1837 18 05 17 34 17 04 11 00 lO 20 05 19 26 18 51 18 15 17 42 17 11 16 40 16 11 15 42 15 15 14 49 14 23 10 20 30 20 16 18 15 47 15 16 14 48 14 21 13 55 13 29 13 °5 12 41 12 19 11 57 II 36 30 12 22 II 58 11 35 11 13 10 52 10 32 10 12 § 5 § 9 36 9 19 9 02 8 45 40 8 20 8 03 7 47 7 32 7 18 7 04 65 l 6 38 6 26 ° 15 6 03 5 53 40 50 12 00 50 4 " 4 03 3 54 3 47 3 4° 3 33 3 26 3 20 3 14 3 08 3 °3 2 57 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 Tn Nnrth latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. Tn Smith latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of -the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 42 AZIMUTH OR TRUE BEARING. LATITUDE 9 o # DECUNATION- ■SAME NAME AS— LATITUDE. LATITUDE 9°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. in. O f / 1 r / / / ' / / / / li. 111. 00 OO 00 06 00 00 00 00 00 00 00 00 op O 00 10 4 26 4 15 4 03 3 52 3 43 3 34 3 24 316 3 08 3 00 2 52 2 46 10 20 8 49 8 26 8 03 7 43 7 22 7 °4 6 47 6 30 6 14 5 58 5 44 5 3° 20 30 13 03 12 29 " 57 11 26 IO 58 10 31 10 05 9 4i 9 17 8 54 8 33 8 13 30 40 17 08 16 24 15 42 15 03 14-26 13 51 13 17 12 45 12 15 II 47 11 19 10 52 40 50 2058 20 05 19 16 18 30 17 45 17 03 16 23 15 45 15 07 14 31 13 58 13 26 50 1 00 24 33 23 34 22 38 21 45 20 54 20 06 19 19 18 35 17 53 17 11 16 32 15 55 1 00 10 27 53 26 48 25 47 24 48 23 53 22 59 22 07 21 18 20 30 19 44 19 °° 18 17 10 20 3° 56 29 47 28 42 27 39 26 39 25 40 24 44 23 51 22 58 22 08 ' 21 20 20 33 20 30 33 44 32 32 31 24 30 17 29,13 28 12 27 12 26 14 25 19 24 25 23 33 22 43 30 , 40 36 17 35 03 33 52 32 43 31 3° 30 32 29 29 28 29 27 3° 26 33 25 37 24 44t: 26 38* 40 50 38 35 37 19 36 07 34 56 33 47 32 41 31 3° 3° 33 29 32 28 32 27 34 50 2 00 40 40 39 23 38 10 3658 35 48 34 40 33 33 32 29 31 26 3° 25 29 24 28 26 2 OO 10 42 32 41 15 40 01 38 49 37 38 36 29 35 22 34 15 33 11 32 08 31 °5 30 06 10 20 44 13 42 57 41 43 40 29 39 18 38 08 37 00 35 54 34 48 33 43 32 39 31 38 20 30 45 43 44*28 43 13 42 01 40 49 39 40 38 31 37 23 36 17 35 " 34 °7 33 °4 30 40 47 05 45 5° 44 36 43 23 42 12 41 01 39 53 38 45 37 38 36 32 35 27 34 23 40 50 48 17 47 03 45 5° 44 37 43 26 42 16 41 07 39 59 3851 37 45 36 40 35 35 50 3 00 49 22 48 08 46 55 45 44 44 34 43 24 42 15 41 °7 .39 59 38 53 37 47 36 42 3 00 10 50 18 49 06 47 55 46 43 45 34 44 24 43 15 42 08 41 00 39 53 38 47 37 43 IO 20 51 09 49 58 48 47 47 36 46 27 45 19 44 10 43 °2 41 56 40 49 39 43 3838 20 30 51 53 50 43 49 33 48 23 47 IS 46 07 44 59 43 52 42 44 41 38 4° 33 39 28 30 40 52 32 51 23 5' 56 50 14 49 °5 47 56 46 49 45 42 44 35 43 29 42 23 41 17 40 II 40 50 53 05 5049 49 4° 48 33 47 26 46 20 45 13 44 °7 43 01 41 57 4° 52 50 4 00 53 34 52 26 51 18 50 11 49 °5 47 59 46 53 45 47 44 41 43 36 42 31 41 26 4 OO 10 53 58 52 51 51 45 50 38 49 33 48 27 47 21 46 16 45 11 44 06 43 01 4i 57 10 20 54 17 53 12 52 06 51 00 49 55 48 5° 47 45 46 40 45 36 44 31 43 27 42 23 20 30 54 33 53 28 52 24 ■ 51 18 50 13 49 1° 48 05 47 oi 45 56 44 53 43 49 42 46 30 40 54 45 53 4° 52 37 51 32 50 29 49 24 48 21 47 17 46 14 45 1° 44 °7 43 °4 40 50 54 53 53 50 52 47 51 43 50 39 49 36 48 33 47 3° 46 27 45 24 44 21 43 18 50 5 OO 54 58 53 56 52 53 51 50 5° 47 49 44 48 41 47 39 46 3° 45 34 44 31 43 29 5 00 10 54 59 53 57 52 55 51 53 50 51 49 49 48 47 47 44 46 42 45 4° 44 38 43 36 10 20 54 58 53 56 52 55 Si 53 50 52 49 50 48 48 47 47 4° 45 45 43 44 42 43 4° 20 , 30 54 53 53 52 52 5° 51 50 50 48 49 48 48 46 47 45 46 43 45 42 44 41 43 4° 30 40 54 45 53 45 52 44 51 43 50 43 49 42 48 41 47 41 46 40 45 38 44 37 43 37 40 50 54 34 53 34 52 34 51 34 5° 34 49 34 48 33 47 33 46 33 45 32 44 31 43 31 50 6 00 54 20 53 20 52 21 51 21 50 21 49 21 48 21 47 22 46 22 45 21 44 21 43 22 6 OO 10 54 03 53 04 52 04 51 05 50 06 49 06 48 06 47 °7 46 07 45 °8 44 08 43 09 IO 20 53 44 52 44 51 45 50 46 49 47 48 48 47 49 46-50 45 50 44 51 43 52 42 53 20 30 53 20 52 21 51 22 50 24 49 25 48 27 47 27 46 29 45 3° 44 32 43 33 42 34 30 40 52 54 51 56 50 57 49 59 49 00 48 02 47 04 46 OS 45 38 45 °° 44 08 43 1° 42 12 40 50 52 25 51 26 50 28 49 3° 48 32 47 34 46 36 44 41 43 43 42 45 4i 47 50 • 7 OO 51 53 50 55 49 56 48 59 48 01 47 03 46 06,' 45 08 44 11 43 13 42 15 41 18 7 00 10 51 16 5° 19 49 21 48 24 47 26 46 29 45 32 44 34 43 37 42 40 41 43 40 46 IO 20 54 54 °° 52 5° 51 Si 5° 47 49 43 48 39 47 34 46 30 45 26 44 22 43 19 40 50 55 II 54 °7 53 °3 52 00 5° 56 49 53 48 49 47 4° 46 42 45 38 44 35 43 12 50 5 OO 55 14 54 11 53 °7 52 04 51 °i 49 59 48 5° 47 53 46 50 45 47 44 44 43 41 5 OO 10 55 13 '54 11 53 °8 52 07 51 °4 5° °I 48 59 47 57 4° 55 45 52 44 49 43 48 10 20 55 10 54 °8 53 °° 52 °5 51 °2 50 01 49 °° 47 57 46 56 45 53 44 51 43 5° 20 30 55 °3 54 °2 53 °l 52 00 5°58 49 57 48 5° 47 55 46 53 45 52 44 51 43 48 30 40 54 53 53 52 52 52 51 51 5° 51 49 5° 48 49 47 48 46 47 45 4° 44 46 43 45 40 50 54 4i 53 4° 52 4° 51 4° 50 40 49 4° 48 39 47 39 46 39 45 38 44 38 43 37 50 6 00' 54 25 53 25 52 26 51 26 50 26 49 26 48 26 47 27 46 27 45 26 44 27 43 25 6 OO 10 54 06 53 °6 52 07 51 °9 50 48 50 09 49 1° -48 10 47.10 46 11 45 11 44 12 43 12 10 20 53 45 52 46 51 46 49 49 48 50 47 51 4° 52 45 53 44 53 43 55 42 55 20 30 53 20 52 21 51 22 5° 24 49 25 48 27 47 29 46 30 45 32 44 32 43 34 42 36 30 40 52 52 51 54 5° 55 49 57 49 °° 48 01 47 °3 46 04 45 °6 44 08 43 1° 42 12 40 50 52 21 51 23 5° 25 49 28 48 29 47 32 46 34 45 37 44 39 43 4i 42 42 41 45 50 7 00 51 47 5° 5° 49 52 4 2 5 § 47 57 4f 59 46 03 45 °5 44 08 43 1° 42 13 41 16 7 00 10 51 °9 5° 13 49 15 48 18 47 21 46 24 45 27 44 29 43 33 42 3° 41 39 40 42 IO 20 50 29 49 32 48 36 47 38 46 42 45 45 44 48 43 51 42 56 41 59 41 °3 40 07 20 30 49 45 48 49 47 52 46 55 46 08 45 59 45 °3 44 06 43 11 42 15 41 18 4° 23 39 27 30 40 48 58 48 01 47 °4 45 12 44 18 43 21 42 25 41 31 4° 35 39 4° 38 45 40 50 48 06 47 1° 46 14 45 18 44 23 43 29 42 33 41 37 40 42 39 47 38 53 37 58 50 8 00 47 11 4° 15 45 19 44 23 43 29 42 34 41 4° 4° 45 38 5J 38 57 38 °3 37 °9 8 00 10 46 12 45 16 44 21 43 26 42 32 41 37 40 43 39 49 3» 56 38 02 37 °9 3° 17 10 20 45 °8 44 13 43 19 42 24 41 3° 40 36 39 43 38 49 37 57 37 °4 36 09 35 16 20 30 44 01 43 06 42 12 41 17 40 24 39 32 3838 37 46 36 55 3° °3 35 1° 34 20 30 40 42 48 41 54 41 00 40 07 39 15 38 22 37 3° 36 39 35 47 34 56 34 °° 33 17 40 50 41 31 40 38 39 44 38 52 38 00 37 °9 36 18 35 27 34 37 33 47 3258 32 08 50 9 00 40 08 39 16 38 23 37 32 36 41 35 51 35 01 34 11 33 22 32 32 31 45 3°58 9 OO IO 38 41 37 5° 3658 36 08 35 18 34 28 33 39 32 51 32 03 31 15 30 29 29 42 10 20 37 °9 36 18 35 28 34 38 33 5° 33 °l 32 14 31 27 30 40 29 54 29 08 28 24 20 30 35 3° 34 41 33 52 33 °4 32 16. 31 3° 3° 43 2958 29 13 28 28 27 44 27 01 30 40 33 46 32 58 32 11 31 24 3° 38 29 53 29 08 28 24 27 42 26 58 26 16 25 34 40 50 31 57 31 °9 30 24 29 39 2854 28 11 27 29 26 47 26 05 25 24 24 44 24 °5 50 10 OO 30 00 29 16 28 31 27 49 27 06 26 25 25 44 25 °4 24 26 23 47 23 °8 22 31 10 00 10 27 58 27 15 26 34 25 53 25 13 24 33 23 5° ?3 18 22 41 22 04 21 28. 20 53 IO 20 25 5° 25 1° 24 31 23 53 23 15 22 39 22 03 21 27 20 52 20 18 19 45 19 12 20 30 23 36 22 59 22 22 21 47 21 12 20 38 20 05 19 32 19 00 18 29 17 58 17 27 30 40 21 16 20 42 20 09 , 19 35 19 °4 18 33 18 02 17 33 17 "4 1636 16 07 15 4° 40 50 18 51 18 19 17 5° 17 21 16 52 16 25 15 57 15 3° 15 °5 14 39 14 14 13 5° 50 11 00 16 19 15 53 15 26 15 °I 14 36 14 11 13 47 13 24 13 02 12 40 12 18 11 57 11 00 10 13 44 13 21 12 59 12 37 12 16 11 55 11 35 11 16 1° 57 10 38 10 19 10 01 10 20 11 04 1° 45 10 27 10 10 9 53 9 36 9 20 9 °4 8 48 8 33 8 18 8 03 20 30 8 22 8 07 7 53 7 4° 7.26 7 14 7 02 6 50 638 6 26 6 15 6 04 30 40 5 36 5 27 5 17 . 5 08 4 59 4 53 4 42 4 34 4 26 4 18 4 10 4 °4 40 50 2 49 2 44 2 39 2 34 2 3° 2 26 2 21 2 17 2 13 2 10 2 06 2 02 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle, and the supplement of the tabulated azimuth is to be taken for the required true bearing. 47 AZIMUTH OR TRUE BEARING. LATITUDE 10°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 10°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 5»° Hour Angle. li. m. o / / / / / / / 1 / / / / ii. 111. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 00 10 2 43 2 36 2 30 2 23 2 18 2 12 2 07 2 01 1 57 1 52 1 47 1 42 IO 20 30 20 § 2 + 5 12 4 59 4 47 4 35 4 24 4 13 4 "3 3 52 3 43 3 33 3 25' 30 8 04 7 44 7 25 7 08 651 6 34 617 6 02 5 47 5 32 5 19 §05 10 io 40 10 14 9 49 9 26 9 °3 8 41 8 20 8 00 7 40 7 2 l 7 °3 645 40 50 50 13 » 12 40 12 10 11 41 11 14 1047 10 20 9 55 9 32 9 08 8 45 8 23 1 00 15 37 15 01 14 26 13 52 13 20 12 48 12 18 11 48 11 20 10 51 10 25 9 59 1 00 10 17 57 17 16 16 36 15 58 15 22 1446 16 39 18 28 14 II 13 37 13 05 12 33 12 02 11 33 10 •■to 20 II 19 25 18 41 18 00 17 19 16 00 15 23 14 47 14 11 13 36 13 03 20 30 22 IS 21 29 20 41 19 56 19 11 17 45 17 °4 16 24 15 45 15 07 14 3° 30 40 24 18 23 26 22 35 21 46 20 58 20 11 19 26 18 41 17 59 17 16 16 35 15 56 40 50 26 10 25 15 24 21 23 3° 22 39 21 50 21 01 20 14 19 28 1843 17 59 17 16 SO 2 00 27 56 2658 26 02 25 08 24 16 23 23 22 32 21 43 20 53 20 06 19 20 18 34 2 00 10 29 34 28 35 27 37 26 40 25 45 24 5" 23 58 23 06 22 15 21 25 20 36 1948 10 20 31 05 30 04 29 os 28 06 27 09 26 13 25 18 24 25 23 31 22 39 21 49 20 58 20 30 30 32 3° 31 28 30 26 29 27 28 29 27 3° 26 33 25 38 24 44 23 49 22 57 22 04 40 33 48 32 44 31 42 30 42 29 42 28 42 27 44 26 47 25 5i 24 5° 24 00 23 07 40 50 34 58 33 55 32 52 31 50 30 50 29 49 28 49 27 51 26 54 25 57 25 °i 24 06 50 3 00 36 04 34 59 33 55 32 53 31 52 3° 5° 29 50 28 50 27 52 26 54 25 56 25 01 3 00 10 37 03 35 58 34 54 33 51 32 49 31 47 30 46 29 4° 28 46 27 47 26 48 25 5i 10 20 37 57 36 53 35 48 34 45 33 43 32 40 31 38 30 37 29 3° 28 36 27 37 26 38 20 • 30 38 46 37 41 36 37 35 33 34 3° 33 27 32 25 31 23 30 22 29 21 28 21 27 21 30 40 39 29 38 24 37 20 36 16 35 13 34 °9 33 07 32 04 31 °3 30 02 29 01 28 01 40 SO 40 08 39 °3 37 59 3° 55 35 52 34 48 33 45 32 42 31 41 30 39 29 38 28 38 50 4 00 40 42 39 37 38 32 37 29 36 25 35 22 34 19 33 16 32 14 31 12 30 11 29 09 4 00 10 41 12 40 07 39 ° 2 37 59 3656 35 52 34 49 33 47 32 44 31 42 30 40 29 38 IO 20 41 37 4° 33 39 28 38 25 ,37 22 36 19 35 1° 34 12 33 10 32 07 31 06 30 04 20 30 41 58 4° 54 39 51 38 47 1 37 44 36 41 35 38 34 35 33 33 32-31 31 28 30 26 30 40 42 15 41 12 40 08 39 °5 3 ? °i 36 59 35 57 34 54 33 51 32 49 31 47 30 45 40 SO 42 29 41 26 40 22 39 20 38 18 37 14 36 12 35 1° 34 °7 33 °4 32 03 31 00 50 5 OO 42 38 41 36 4° 33 39 3° 38 29 37 26 36 23 35 21 34 19 33 17 32 14 31 13 5 OO io 42 45 41 42 40 41 39 38 3836 37 34 36 32 35 30 34 28 33 26 32 24 31. 22 10 20 42 48 41 4° 4° 43 39 42 38 41 37 38 36 37 35 35 34 33 33 31 32 30 31 29 20 30 42 47 41 46 40 44 39 43 38 42 37 4° 36 39 35 38 34 3° 33 35 32 33 31 3i 30 40 42 44 41 42 40 41 39 41 38 4° 37 38 3°38 35 36 34 35 33 34 32 32 31 32 40 50 42 37 41 36 40 36 39 35 38 34 37 34 3° 32 35 32 34 32 33 3° 32 3° 31 29 50 6 OO 42 26 41 26 40 26 39 26 38 26 37 25 36 25 35 25 34 24 33 25 32 24 31 23 6 OO IO 42 13 41 13 4° 13 39 13 38 14 37 14 36 15 35 14 34 15 33 14 32 15 31 15 10 20 41 57 4° 57 39 58 3858 38 00 37 00 36 01 35 01 34 °2 33 °2 32 02 31 °4 20 30 41 3 6 40 38 39 39 38 40 37 42 36 43 35 44 34 45 33 46 32 47 31 48 30 49 30 40 41 13 40 16 39 17 38 19 37 21 36 23 35 25 34 26 33 28 32 29 31 31 3" 33 40 50 40 48 39 5° 38 53 37 55 36 57 35 59 35 02 34 °3 33 06 32 08 31 11 3° 13 50 7 00 40 19 39 21 38 24 37 27 36 31 35 33 34 36 33 39 32 42 31 44 30 47 29 5° 7 00 IO 39 46 38 5° 37 53 3656 36 01 35 03 34 07 33 11 32 14 31 18 30 21 29 25 10 20 39 11 38 32 38 14 37 18 3° 23 35 27 34 31 33 36 32 40 31 44 30 48 29 53 28 58 20 30 37 37 36 41 35 46 34 52 33 56 33 01 32 06 31 10 30 16 29 21 28 27 30 40 37 49 36 55 36 01 35 °6 34 12 33 17 32 23 31 3° 3° 35 29 41 28 47 27 54 40 50 37 °4 36 11 35 1° 34 23 33 3° 32 36 31 43 3° 49 29 57 29 03 28 10 27 17 50 8 00 3 6 15 35 22 34 29 33 37 32 44 31 51 3° 59 30 06 29 15 28 22 27 30 26 39 8 OO IO 35 22 34 31 33 39 32 47 31 56 31 °4 3° 13 29 21 28 30 27 39 26 48 25 58 10 20 34 28 33 37 32 45 31 54 31 °4 3° 13 29 23 28 33 27 43 26 53 26 03 25 14 20 30 33 29 32 38 31 49 30 58 30 09 29 19 28 31 27 41 26 53 26 04 25 15 24 27 30 40 32 26 31 37 30 48 29 59 29 11 28 22 27 35 26 47 26 00 25 12 24 25 23 38 40 50 31 20 3° 32 29 43 28 57 28 10 27 22 26 36 25 49 25 03 24 17 23 31 22 47 50 9 00 30 10 29 23 28 37' 27 51 27 °5 26 19 25 34 24 48 24 05 23 20 22 36 21 52 9 OO 10 28 57 28 II 27 25 26 41 25 57 25 13 24 29 23 46 23 °3 22 20 21 37 20 56 IO 20 27 39 26 55 26 12 25 28 24 46 24 °4 23 22 22 40 21 58 21 18 20 37 19 56 20 30 26 18 25 36 24 54 24 13 23 32 22 51 22 II 21 31 20 52 20 12 19 33 18 27 18 54 30 40 24 53 24 13 23 33 22 54 22 15 21 36 20 57 20 20 19 42 19 °5 17 51 40 50 23 25 22 46 22 09 21 32 20 54 20 18 19 41 19 °5 18 30 17 54 17 20 16 45 50 10 OO 21 54 21 18 20 42 20 06 19 31 18 57 18 22 17 48 : 7 15 16 42 16 09 15 37 10 00 10 20 19 19 44 19 II 18 37 18 05 17 32 17 01 16 29 15 58 15 27 14 5° 14 27 10 20 18 40 18 08 17 37 17 06 16 36 10 06 15 36 15 07 15 38 14 10 13 41 13 14 20 30 1658 16 29 16 00 15 33 15 °5 14 37 14 11 13 44 13 17 12 51 12 26 12 00 30 40 15 14 14 47 14 21 13 55 13 31 13 06 12 42 12 18 12 54 11 31 II 07 1° 45 40 50 13 26 13 02 12 39 12 16 11 55 II 33 II 12 10 49 10 29 10 09 9 48 9 27 50 11 00 11 36 11 16 1° 55 1° 35 10 16 9 58 9 38 9 20 9 02 844 8 26 8 10 11 OO 10 9 43 9 26 9 °9 8 53 8 37 8 20 8 05 7 49 7 34 7 19 7 °4 6 50 10 20 7 49 7 36 7 21 7 08 6 55 6 42 6 29 6 17 6 05 5 52 5 4° 5 29 20 30 5 53 5 43 5 32 5 22 5 13 5 02 4 53 4 44 4 34 4 25 4 17 4 08 30 40 3 5 6 3 49 3 43 3 35 3 29 3 22 3I » 3 10 3 04 2 57 2 51 2 45 40 50 1 58 1 55 1 51 I 48 1 45 1 42 1 38 1 35 1 32 1 29 1 25 1 22 50 12 00 00 00 00 00 00 00 ,0 00 00 00 00 00 I 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 48 AZIMUTH OR TRUE BEARING. latitude: 10°. DECLINATION— SAME NAME AS- -LATITUDE- LATITUDE 10°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / * o / / / r / / / / / h. m. 00 00 00 00 00 0,00 00 00 00 00 00 00 00 10 I 38 1 34 I 29 1 25 1 21 1 18 1 14 1 10 1 06 I °3 ° 59 10 20 3 15 3 06 2 58 2 5° 2 43 2 34 2 26 2 20 2 12 2 05 1 59 20 30 i 5 o 4 39 4 27 4 14 4 03 3 51 3 40 3 29 3 18 3 07 2 57 30 40 6 28 6 n 5 54 5 38 5 22 5 °7 6 03 4 37 4 23 4 08 3 55 40 50 8 01 7 40 7 20 7 00 6 40 6 21 5 45 5 27 5 °9 4 53 SO 1 00 9 33 9 OQ 844 8 21 7 57 7 35 7 13 651 6 30 6 09 5 49 1 00 10 11 03 10 35 10 07 9 4° 9 13 8 47 8 21 7 57 7 33 7 °9 ° 45 10 20 12 30 11 58 11 27 10 56 10 26 9 57 9 28 9 01 8 33 8 06 7 4° 20 30 13 54 13 19 12 45 12 11 11 38 11 06 1° 34 10 03 9 32 9 °3 8 33 30 40 15 17 14 38 14 00 13 24 12 47 12 12 11 38 11 04 1030 9 58 9 25 40 50 16 35 15 53 15 13 14 33 13 54 13 1° 12 39 12 02 11 26 10 51 10 15 50 2 00 17 50 17 05 16 23 15 40 14 58 14 18 13 38 12 58 12 20 11 42 11 04 2 00 10 19 01 18 15 17 30 16 44 16 01 15 17 14 35 13 53 13 12 12 31 II 51 IO 20 20 09 19 20 18 33 17 4° 17 00 16 14 15 29 14 45 14 01 13 19 12 37 20 30 21 14 20 23 19 33 18 44 17 56 17 08 16 21 15 35 14 49 14 °5 14 4» 13 20 30 40 22 14 21 22 20 31 19 40 18 49 18 00 17 11 16 23 15 35 14 02 40 50 23 12 22 17 21 24 20 32 19 40 18 491 17 58 17 07 16 18 15 29 14 41 50 3 00 24 05 23 09 22 15 21 21 20 27 19 34 18 42 17 5° 1° 59 16 09 15 19 3 OO 10 24 54 23 58 23 02 22 07 f 21 12 20 18 19 24 18 30 17 38 1° 45 15 54 10 20 25 41 24 43 23 4° 22 49 21 53 20 57 20 02 19 07 18 14 17 21 16 27 20 30 26 23 25 24 24 27 23 29 22 32 21 35 20 38 19 43 18 48 17 53 1658 30 40 27 02 26 02 25 03 24 °5 23 07 22 09 21 12 20 15 19 19 18 23 17 27 40 50 27 37 26 36 25 38 24 38 23 39 22 41 21 43 20 45 19 47 18 50 17 53 50 4 00 28 09 27 08 26 08 25 08 24 09 23 °9 22 10 , 21 12 20 13 19 15 18 17 4 00 10 28 37 27 36 26 3ft 25 35 24 35 23 35 22 36 21 3° 20 37 19 39 18 40 IO 20 29 03 28 01 27 00 25 59 24 58 23 58 22 58 21 58 20 58 19 59 18 59 20 30 29 25 28 23 27 22 26 20 25 20 24 19 23 18 22 18 21 17, 20 17 19 17 30 40 29 43 28 41 27 40 26 39 25 37 24 3° 23 35 22 34 21 34 20 33 19 32 40 50 29 59 28 57 27 55 26 53 25 52 24 51 23 50 22 49 21 47 20 47 19 46 50 5 00 3° 11 29 09 28 08 27 06 26 04 25 °3 24 01 23 00 21 59 20 58 19 57 5 OO 10 30 20 29 18 28 17 27 15 26 13 25 12 24 II 23 09 22 08 21 08 20 06 10 20 30 27 29 25 28 24 27 22 26 21 25 19 24 J7 23 16 22 15 21 14 20 12 20 30 3° 30 29 29 28 28 27 26 26 25 25 24 24 21 23 20 22 19 21 18 20 16 30 40 30 30 ' 29 30 28 28 • 27 27 26 26 25 25 24 23 23 22 22 21 21 20 20 18 40 50 30 29 29 27 28 26 27 25 26 25 25 24 24 23 23 22 22 21 21 21 20 19 50 6 00 3° 23 29 23 28 22 27 21 26 21 25 20 24 20 23 19 22 18 21 18 20 17 6 OO 10 3° 15 29 15 28 15 27 15 26 15 25 15 24 14 23 13 22 13 21 13 20 12 10 20 30 04 29 05 28 06 27 05 26 06 25 06 24 06 23 06 22 06 21 07 20 07 20 30 29 50 28 51 27 53 26 54 25 54 24 55 23 56 22 57 21 57 2058 19 58 30 40 29 35 28 35 27 37 26 39 25 40 24 41 23 43 22 44 21 45 20 47 19 47 40 50 29 16 28 .'7 27 20 26 21 25 23 24 26 23 28 22 29 21 31 20 33 19 35 SO 7 00 28 53 27 56 27 00 26 02 25 °5 24 08 23 10 22 13 21 16 20 19 19 21 7 00 10 28 29 27 32 26 36 25 39 24 43 23 47 22 50 21 54 20 57 20 02 19 °5 10 20 28 03 27 06 26 12 25 15 24 20 23 25 22 28 21 33 20 37 19 41 18 46 20 30 27 32 26 37 25 43 24 48 23 53 22 59 22 04 21 10 20 15 19 20 18 26 30 40 26 59 26 06 25 12 24 19 23 26 22 31 21 38 20 44 19 5° 18 58 18 03 40 50 26 25 25 31 24 40 23 47 22 54 22 02 21 09 20 16 19 25 18 32 17 40 50 8 OO 25 47 24 55 24 04 23 13 22 21 21 30 20 38 19 47 1856 18 05 17 13 8 00 10 25 07 24 16 23 27 22 36 21 46 20 55 20 06 19 16 18 25 17 36 16 46 10 20 24 24 23 35 22 47 21 57 21 08 20 20 19 31 18 42 17 53 17 °5 16 17 20 30 23 40 22 51 22 03 21 17 20 28 19 4i 18 54 18 07 17 19 16 33 15 45 30 40 22 51 22 05 21 19 20 32 19 46 19 01 18 14 17 3° 16 44 15 59 15 12 40 60 22 02 21 16 20 31 19 47 19 02 18 18 17 34 16 50 16 06 15 22 14 39 50 9 OO 21 08 20 25 19 42 IS 59 18 16 17 34 16 51 16 08 l5 27 14 45 14 02 9 00 " 10 20 13 19 32 18 5° iS 09 17 28 16 47 16 06 15 26 14 45 14 °5 13 25 10 20 19 16 18 36 17 57 17 17 16 38 15 58 15 20 14 41 14 02 13 24 12 45 20 30 18 17 17 38 17 01 16 23 15 46 15 08 14 32 13 55 13 18 12 42 12 04 30 40 17 15 16 38 16 03 15 27 14 51 14 16 13 42 13 07 12 32 11 57 11 23 40 50 16 11 15 36 15 03 14 30 13 5° 13 23 12 50 12 17 11 45 11 13 10 40 50 10 OO 15 05 14 33 14 01 13 30 12 58 12 28 11 57 11 26 10 46 10 26 9 5° 10 00 10 13 56 13 27 12 58 12 29 12 00 11 31 11 02 10 34 10 06 9 39 9 11 10 20 12 47 12 20 11 53 11 26 10 59 1° 33 10 06 2 +j 9 14 8 5° 8 24 20 30 11 35 11 11 10 46 10 22 9 58 9 34 9 °9 8 46 8 23 8 00 7 3° 30 40 50 10 22 l 5 l 9 38 9 16 8 55 8 33 8 11 7 51 7 29 7 °9 6.48 40 9 08 848 8 29 8 09 7 51 7 31 7 13 6 54 6 35 6 17 5 59 50 11 00 10 20 7 52 7 35 7 18 7 01 6 45 6 29 6 12 5 57 5 4° 5 25 5°8 11 OO 6 35 6 21 6 07 5 52 5 39 5 25 5 12 4 58 4 44 4 31 4 19 10 5 17 5 06 4 54 4 43 4 32 4 21 4 10 4 00 3 49 3 38 3 27 20 30 40 3 59 3 50 3 41 3 33 3 25 3 16 3 08 3 00 2 52 2 43 2 3° 30 2 40 2 34 2 28 2 23 2 17 2 11 2 06 2 00 1 54 I 49 1 44 40 50 1 19 1 17 1 14 I II 1 08 1 05 1 °3 1 00 57 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths ire reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 49 AZIMUTH OR TRUE BEARING. LATITUDE 11°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 11°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / 1 / ' / / / / / / / O / b. m. OO O 00 00 00 00 00 00 00 ,0 00 00 00 00 00 00 10 10 02 9 17 8 37 8 01 7 30 7 02 6 37 6 15 5 53 5 34 5 17 s °l 10 20 30 40 50 20 19 27 18 02 16 48 15 42 14 42 13 5° 13 °2 12 18 n 38 11 02 10 27 9 56 30 27 46 25 55 24 16 22 46 21 25 20 11 19 04 18 03 17 06 16 14 15 26 14 41 40 34 53 32 46 30 51 29 05 27 29 26 00 24 38 23 23 22 12 21 07 20 07 19 10 50 40 48 38 34 36 31 34 35 32 49 31 11 29 38 28 12 26 53 25 37 24 27 23 22 1 00 45 40 43 25 41 19 39 19 37 28 35 43 34 °5 32 32 31 06 29 44 28 26 27 13 1 00 lO 20 30 40 50 10 49 42 47 28 45 23 43 23 41 30 39 43 38 00 36 25 34 53 38 14 33 26 32 04 30 45 20 53 00 50 5" 48 48 46 50 44 57 43 °9 41 26 39 48 36 44 35 19 3» 13 33 56 30 55 43 53 40 51 40 49 46 47 55 46 09 44 26 42 47 41 13 39 41 36 49 40 58 00 56 01 54 06 52 15 50 27 48 43 47 °2 45 23 43 50 42 18 40 49 39 24 50 59 53 58 00 56 10 54 22 52 38 5° 55 49 17 47 41 46 07 44 36 43 °8 41 42 2 00 61 28 59 41 57 55 56 11 54 3° 52 51 51 14 49 4° 48 08 46 39 45 11 43 45 2 00 10 20 30 40 50 10 62 48 61 05 59 23 57 44 56 06 54 3° 52 57 5i 24 49 54 48 26 46 59 45 35 20 63 55 62 17 60 39 59 °3 57 29 55 56 54 25 52 55 51 27 50 00 48 35 4 l *f 30 64 52 63 17 61 45 60 11 58 40 57 11 55-42 54 15 52 48 51 24 50 00 48 38 40 b A 3 g 64 08 6238 61 10 59 42 58 15 5648 55 23 53* 59 52 36 51 15 49 55 50 66 18 64 52 63 25 61 59 60 33 59 °9 57 45 56 23 55 01 53 4° 52 20 51 01 3 00 66 51 65 28 64 04 62 41 61 19 59 57 58 35 57 15 55 55 54 3° 53 18 52 00' 3 00 10 67 19 6558 64 37 63 16 61 56 60 37 59 18 57 59 56 42 55 24 54 °7 52 52 lO 20 20 67 41 66 22 65 04 65 26 63 46 62 28 61 11 59 54 58 37 57 21 .56 °5 54 5i 53 36 30 67 59 66 42 64 11 62 55 61 39 60 24 59 1° 57 56 56 41 55 28 54 14 30 40 68 12 6658 65 44 64 3° 63 16 • 62 03 60 50 59 36 58 24 57 12 56 00 54 48 40 50 68 21 67 09 05 57 64 46 °3 34 62 22 61 11 59 59 5848 57 36 56 26 55 15 50 4 • OO 68 29 67 18 66 07 64 57 63 46 62 37 61 27 60 17 59 °7 57 57 56 48 55 39 4 00 10 68 32 67 23 66 14 65 °5 63 5° 62 48 61 39 60 31 59 22 58 14 57 °5 55 57 10 20 68 32 67 25 66 18 65 09 64 02 62 54 61 4? 60 41 59 33 5826 57 19 56 12 20 30 68 30 67 24 66 18 65 12 64 05 62 59 61 53 60 47 59 41 58 35 57 29 56 22 30 40 68 25 67 20 66 i S 65 10 64 °5 63 00 61 54 60 49 59 44 58 39 57 34 56 29' 40 50 68 17 67 14 66 10 65 06 64 02- 62 58 61 54 60 50 59 46 58 41 57 37 56 34 50 5 OO 68 08 67 05 66 02 65 00 63 56 62 53 61 50 60 47 59 43 58 4° 57 36 56 33 5 00 10 67 56 66 54 65 52 64 49 63 47 62 45 61 43 60 40 59 38 58 35 57 33 56 3° 10 20 67 42 66 41 6 5 39 ■ 64 38 63 36 62 35 61 33 60 31 59 3° 5828 57 26 56 24 20 30 67 25- 66 25 65 24 64 23 63 23 62 21 61 20 60 20 59 19 58 18 57 16 56 15 30 40 67 07 66 07 65 07 64 07 63 06 62 06 61 '06 60 06 59 °5 58 04 57 °4 56 03 40 50 66 47 65 46 64 47 °3 47 62 48 61 48 60 48 59 48 58 48 57 48 5648 55 47 50 6 OO 66 24 65 24 64 25 63 26 62 26 61 27 60 27 59 28 58 28 57 29 5 5 2 § 55 29 00 10 65 58 64 59 64 01 63 02 62 03 61 04 60 05 59 °5 58 06 57 °7 56 08 55 °9 10 20 65 31 64 32 63 34 62 35 61 36 6038 59 39 5841 57 42 56 43 55 44 54 45 20 30 65 01 64 02 63 04 62 06 61 07 60 09 59 11 58 12 57 13 56 15 55 17 54 19 30 40 64 29 63 31 62 32 61 34 60 35 59 37 58 39 57 41 56 43 55 45 54 47 53 48 40 50 63 53 6256 61 58 61 00 60 01 59 °3 58o 5 57 °8 56 09 55 11 54 13 53 15 50 7 OO 63 17 62 18 61 20 60 22 59 23 58 26 57 28 56 3i 55 33 54 35 53 38 52 40 7 00 lO 62 36 61 38 60 39 59 4i 58 43 57 46 5° 47 55 5° 54 53 53 55 52 58 52 01 lO 20 61 S3 60 54 59 56 5858 58 00 57 °2 56 °5 55 08 54 1° 53 12 52 15 51 19 20 30 61 06 60 07 59 °9 58 11 57 13 56 15 55 18 54 21 53 24 52 26 51 3° 5° 33 30 40 60 15' 59 17 58 19 57 22 56 23 55 25 54 28 53 31 52 33 51 36 50 40 49 44 40 50 59 23' 58 24 57 26 5° 28 55 29 54 31 53 34 52 37 51 4° 5° 43 49 46 48 51 50 8 00 58 25 57 26 56 27 55 29 54 31 53 33 52 36 51 39 5° 42 49 46 48 50 47 53 8 OO lO 57 23 56 25 55 26 54 27 53 29 52 31 51 34 5° 37 49 41 48 45 47 49 46 52 10 20 56 18 55 18 54 19 53 21 52 23 51 25 50 28 49 31 48 35 . 47 38 46 43 45 48 20 30 55 07 54 07 53 08 52 10 51 12 5° 13 49 17 48 21 47 24 46 28 45 33 44 39 30 40 53 51 52 51 51 52 50 53 49 55 48 58 48 01 47 °5 46 09 45 13 44 19 43 24 40 50 52 30 51 29 50 3° 49 32 48 34 47 37 46 40 45 44 44 48 43 54 42 59 42 05 SO 9 00 51 02 50 02 49 02 48 05 47 06 46 09 45 14 44 18 43 23 42 28 4i 35 40 41 9 OO lO 49 28 48 28 47 29 46 31 45 34 44 37 43 41 42 46 41 52 40 58 40 05 39 13 10 20 47 48 46 48 45 49 44 51 43 54 42 57 42 03 41 09 40 14 39 22 38 29 37 38 20 30 45 59 45 °° 44 °i 43 03 42 07 41 12 40 18 39 24 38 32 37 39 36 49 35 58 30 40 44 01 43 00 42 05 41 09 40 13 39 19 38 25 37 34 36 42 35 50 35 °i 34 13 40 50 41 5fi 40 59 40 02 39 07 38 12 37 18 36 27 35 36 34 45 33 56 33 °8 32 21 50 lO OO 39 43 38 45 37 49 36 55 36 03 35 11 34 21 33 31 32 43 31 55 31 °9 30 23 10 00 lO 37 17 36 22 35 28 34 30 33 44 32 54 32 06 31 19 3° 32 29 47 29 03 28 19 lO 20 34 44 33 49 3258 32 08 31 18 3° 3i 29 45 28 59 28 16 27 32 26 51 26 10 20 30 31 58 31 °7 30 18 29 31 28 44 27 58 27 16 26 33 25 51 25 11 24 32 23 54 30 40 • 29 02 28 14 27 28 26 44 23 48 26 00 25 18 24 38 23 58 23 20 22 43 22 07 21 32 40 50 25 55 25 11 24 28 23 07 22 30 21 53 21 18 20 42 20 09 19 37 19 °5 50 11 00 22 37 21 57 21 20 20 43 20 07 19 34 19 01 18 29 17 58 17 29 17 00 16 32 11 00 10 19 09 1835 18 02 17 31 17 00 16 30 16.03 15 35 15 °8 14 44 13 19 13 55 10 20 15 32 15 03 14 36 14 10 13 45 13 21 12 58 12 35 12 14 II 53 11 33 II 13 20 30 11 46 11 24 11 03 10 44 10 24 10 06 9 47 9 31 9 14 8 59 8 43 8 28 30 40 7 55 7 40 7 25 7 12 658 6 46 6 34 6 23 6 12 6 01 5 51 5 4° 40 50 50 3 58 3 51 3 44 3 37 3 3° 3 23 3 18 3 12 3 06 3 01 2 56 . 2 51 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 — 02 4 50 AZIMUTH OR TRUE BEARING. LATITUDE 11°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 11°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. in. o / f / / / / / r / ' / ' li. 111. O OO 00 00 00 00 00, 00 00 00 00 00 00 00 O OO 10 4 46 4 34 4 20 4 °7 3 57 3 46 3 36 3 27 318 3 °9 3 01 2 54 10 20 9 28 9 00 8 35 8 12 7 50 7 29 7 10 6 51 6 34 6 17 6 01 5 4° 20 30 13 59 13 20 12.44 12 10 11 38 11 07 10 39 10 12 9 4° 9 21 8 58 8 35 30 40 iS 18 17 28 16 42 15 58 15 16 14 38 14 01 13 26 12 52 12 20 11 51 11 22 40 50 22 20 21 22 20 27 19 34 18 45 17 59 17 15 16 32 15 52 15 13 14 37 14 01 50 1 00 26 04 24 59 23' 57 22 58 22 02 21 09 24 08 20 18 19 30 18 43 17 59 17 17 163° 1 00 10 29 31 28 19 27 13 26 08 25 °7 23 11 22 18 21 20 20 37 19 49 19 °3 10 20 32 39 31 23 30 12 29 04 27 57 26 54 25 54 24 55 23 59 23 °5 22 13 21 23 20 30 35 29 34 11 32 56 31 45 30 36 29 28 28 24 27 23 26 23 25 25 24 3° 23 36 30 40 38 03 36 43 35 26 34 I2 36 26 33 °° 31 51 3" 44 29 39 28 3° 27 35 26 37 25 39, 40 50 40 20 38 59 37 42 35 12 34 °i 32 52 31 45 30 40 29 37 28 35 27 35 50 2 00 42 23 41 02 39 44 38 28 37 13 36 01 34 50 33 41 32 35 31 29 30 26 29 24 2 OO io 44 13 42 52 4i 34 40 17 39 °2 37 49 36 37 35 28 34 2° 33 12 32 08 31 04 10 20 45 5i 44 3° 43 13 41 56 40 40 39 27 38 15 37 05 35 56 34 48 3° 15 33 42 32 37 20 30 47 18 45 58 44 41 43 24 42 10 4° 57 39 44 38 33 37 24 35 °8 34 02 30 40 4836 il 1 ! 46 00 44 45 43 29 42 16 41 04 39 54 38 43 37 34 3°47 36 27 35 20 40 50 49 44 48 26 47 1° 45 55 44 41 43 28 42 17 41 06 39 56 37 38 36 31 50 3 00 50 44 49 27 48 12 4658 45 45 44 33 43 22 42 11 41 01 39 52 38 44 37 37 3 OO 10 5i 37 50 21 49 °7 47 55 46 42 45 3° 44 19 43 1° 42 00 4° 51 39 43 38 35 10 20 52 22 51 09 49 56 48 44 47 32 46 21 45 " 44 02 42 53 41 43 40 36 39 29 20 30 53 03 51 5° 5°38 49 28 48 17 47 °6 45 56 44 47 43 38 42 3° 41 23 40 16 30 40 53 37 52 25 51 *S 5° 05 48 55 47 45 46 37 45 28 44 19 43 12 42 05 40 58 40 50 54 06 52 56 51 4° 5° 37 49 28 48 20 47 12 46 03 44 56 43 49 42 42 4i 35 50 4 00 54 3° 53 21 52 12 5' °4 49 56 48 48 4 Z 4 J 46 34 45 27 44 21 43 14 42 08 4 ' OO 10 54 50 53 42 52 34 51 27 50 20 49 13 48 06 47 °° 45 53 46 16 44 48 43 42 42 36 10 20 55 05 53 58 52 52 51 46 50 39 49 33 48 27 47 21 45 1° 44 °5 42 59 20 30 40 .55 17 54 11 53 06 5i 59 50 54 49 49 48 44 47 39 4° 34 45 29 44 24 43 19 30 55 24 54 19 53 15 52 10 51 °5 5" °l 485° 47 52 46 48 45 43 44 39 43 34 40 50 55 29 54 25 53 21 52 17 51 13 50 09 49 °5 48 02 4658 45 54 44 5° 43 46 50 5 00 55 3° 54 27 53 24 52 20 51 17 5° 14 49 1° 48 08 47 °4 46 01 44 57 43 55 5 OO 10 55 28 54 25 53 22 52 20 51 17 5° 15 49 '3 48 09 47 °7 46 05 45 °2 43 59 10 20 30 55 22 54 21 53 19 52 17 51 14 5° 13 49 " ' 48 09 47 °7 1 46 05 45 °2 44 «3 20 55 14 54 13 53 12 52 10 51 °9 5° 07 49 °6 48 04 47 °3 46 01 44 59 43 58 30 40 55 02 54 °2 53 01 52 01 51 °° 49 58 48 57 47 57 46 56 45 55 44 54 43 52 40 50 54 48 53 47 5248, 51 47 50 46 49 46 48 47 47 46 46 45 45 45 44 44 43 43 50 6 00 .54 30 53 $1 52 31 51 31 50 31 49 31 48 31 47 32 46 32 45 32 '44 32 43 31 6 OO 10 54 10 53 10 52 II 51 12 5° 13 49 13 48 14 47 14 46 15 45 16 44 16 43 17 10 20 30 53 47 52 48 51 49 5° 5° 49 51 48 52 47 54 46 54 45 56 44 5° .43 57 42 58 20 53 20 52 22 51 23 50 24 49 27 48 28 47 3° 46 31 45 33 44 34 43 36 42 37 30 40 52 51 51 53 5° 54 49 57 48 59 48 01 47 °3 46 05 45 °7 44 08 43 10 42 12 40 50 52 18 51 20 50 23 49 25 48 28 47 3° 46 32 45 35 44 37 43 4° 42 43 41 45 50 7 00 51 43 5° 45 49 48 48 5° 47 53 46 56 46 00 45 °2 44 °5 43 °9 42 11 41 14 7 OO 10 51 04 5° 07 49 1° 48 13 47 16 46 20 45 23 44 26 43 29 42 33 41 36 40 40 10 20 50 22 49 25 . 48 28 47 32 46 35 45 39 44 42 43 47 42 51 41 55 4° 59 40 02 20 30 49 36 48 39 47 43' 46 47 45 51 44 5° 44 00 43 °4 42 08 41 13 40 17 39 22 30 40 48 47 47 51 46 55 46 00 45 04 44 08 43 13 42 18 41 23 40 28 39 33 38 39 40 50 47 55 46 59 46 03 45 °8 44 13 43 18 42 23 41 29 4° 34 39 4° 38 46 37 52 50 8 00 4658 46 03 45 °8 44 12 43 17 42 24 41 29 40 36 39 42 38 48 37 55 37 °i 8 OO IO 45 57 •45 02 44 07 43 14 42 19 41 25 40 32 39 39 38 45 37 53 37 00 3608 IO 20 44 53 43 59 43 °4 42 10 41 17 4° 23 39 31 38 38 37 46 36 54 36 02 35 " 20 30 43 44 42 49 41 56 41 °3 40 10 3 I '! 38 25 37 34 36 43 35 52 35 °° 34 1° 30 40 42 30 4i 37 40 44 ■ 3 ° H 3859 38 08 37 16 36 26 35 35 34 45 33 55 33 °6 40 50 41 11 40 20 39 28 38 3° 37 44 36 54 36 04 35 14 34 24 33 35 32 46 31 58 50 9 00 39 49 3858 38 06 37 15 36 25 35 35 34 46 33 57 33 °9 32 21 31 33 30 46 9 OO 10 38 21 37 30 36 40 35 5° 35 01 34 12 33 25 32 36 31 49 31 03 30 16 29 31 10 20 3648 35 58 35 °9 34 21 33 32 32 45 31 5§ 31 12 30 26 29 41 2856 28 12 20 30 35 09 34 20 33 32 32 45 31 58 31 13 30 28 29 42 28 59 28 15 27 32 26 50 30 40 33 25 32 38 31 51 31 °5 30 20 29 3° 28 52 28 10 27 27 26 45 26 04 25 23 40 50 31 35 3° 49 30 04 29 21 28 37 27 55 27 13 26 32 25 51 25 11 24 31 23 52 50 10 00 29 39 2 l b i 28 13 27 31 28 49 26 OQ 24 l8 25 29 24 50 24 12 23 34 22 56 22 19 10 00 IO 27 38 26 56 26 is 25 36 24 56 23 4° 23 °3' 22 27 21 52 21 17 20 42 10 20 25 30 24 5° 24 13 23 36 225? ' 22 23 21 48 21 14 20 39 20 06 19 34 19 01 20 30 23 17 22 41 22 05 21 31 20 56 20 23 19 5i 19 19 18 48 18 18 '7 47 17 18 30 40 20 58 20 25 19 53 19 20 J ? 5 2 18 20 17 5° 17 21 16 52 16 25 15 58 15 31 40 50 18 34 18 04 17 35 17 07 16 38 16 12 15 45 15 19 14 54 14 3° 14 °5 13 41 50 11 00 16 05 15 39 15 13 14 48 14 24 14 01 13 37 13 14 12 52 12 31 12 09 11 49 11 OO 10 13 32 13 09 12 47 12 27 12 06 II 46 11 26 II 07 10 48 10 30 10 12 9 54 10 20 10 55 10 36 10 19 10 02 9 45 9 28 9 12 8 57 8 42 8 26 8 12 7 58 20 30 8 14 8 00 7 4° 7 33 7 21 7 08 656 6 44 6 33 6 21 6 11 6 00 30 40 5 31 5' 21 5 12 5 °3 4 54 4 47 4 38 4 31 4 23 2 08 4 08 4 01 40 50 2 46 ■ 2 42 2 37 2 32 2 28 2 23 2 20 2 16 2 12 2 04 2 00 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East • and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East • and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, -the tables are to be entered with the supplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing, 51 AZIMUTH OR TRUE BEARING. LATITUDE 11°. DECLINATION— SAME NAME AS— LATITUDE. latitude: ii ■'. Hour Angle. 48° 48° 50° 51° 52° o / / / oo 00 00 2 33 2 27 2 20 5 05 4 53 4 40 7 35 7 17 6 58 10 02 9 37 9 H 11 26 12 24 U 55 14 43 14 08 16 17 13 34 ib 56 15 39 19 03 18 19 17 37 21 04 20 17 19 31 22 58 22 08 21 19 24 46 23 53 23 01 26 27 25 32 24 38 28 02 27 04 26 08 29 3° 28 31 27 33 3° 51 29 51 28 52 32 08 31 06 30 04 33 16 32 14 31 12 34 21 33 17 32 14 35 IB 34 14 33 II 36 11 35 °7 34 °3 36 59 35 54 34 5° 37 41 36 37 35 32 38 18 37 14 3° 10 38 52 37 48 36 43 39 21 38 17 37 13 39 46 ' 3841 37 38 40 07 39 °2 3 Z 5 ? 40 23 39 19 38 16 40 36 39 34 38 3° 40 46 39,43 3841 4051 39 49 38 47 4° 54 39 52 . 3 f 5 ° 4° 53 39 52 ' 38 50 40 49 39 48 38 47 40 42 39 41 3841 40 31 39 32 3831 40 17 39 18 38 18 40 01 39 °2 38 03 39 4i 38 43 37 44 39 18 38 20 37 22 38 52 37 55 3° 57 38 23 37 27 36 3° 37 51 36 55 35 59 37 15 36 20 35 24 36 37 ■35 43 34 48 35 56 35 °2 34 °8 35 » 34 18 33 25 34 24. 33 31 32 39 33 32 32 41 31 50 32 3« 31 48 30 57 31 4° 3° 51 30 02 3° 39 29 52 29 °4 29 34 28 48 28 01 28 27 27 42 26 57 27 16 26 32 25 49 26 01 25 20 2438 24 44 24 04 23 23 23 23 21 5» 22 45 22 05 21 22 20 45 20 31 19 58 19 23 19 01 18 29 17 57 17 28 16 59 16 29 15 52 15 25 14 58 14 14 13 49 13 24 12 32 12 10 . 11 49 IO 49 10 30 10 11 9 °4 848 831 7 18 7 °4 °52 5 29 5 19 5 09 3 4° 3 33 3 27 1 5° 1 47 1 43 00 00 00 53° 54° 55° 56° 57° 58° 58° Hoar Angle. It. 12 III. OO IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 IO 20 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 SO 00 00 00 2 47 2 39 5 3 1 5 19 8 14 7 54 10 54 10 27 13 28 12 56 1556 15 19 18 19 17 37 20 35 19 48 22 43 21 53 24 44 23 51 26 38 25 4i 28 24 27 25 30 02 29 01 3i 33 30 31 32 57 31 54 34 15 33 U 35 26 34 21 36 31 35 25 37 29 36 24 38 22 37 17 39 1° 38 04 39 53 38 4° 40 30 39 24 41 °3 39 57 4i 31 40 25 4i 55 40 50 42 15 41 10 42 31 41 27 42 44 41 39 42 52 42 57 42 59 42 57 42 51 42 44 42 32 42 18 41 59 4i 39 41 14 40 47 40 17 39 44 39 °8 38 28 37 44 3°58 36 09 35 1° 34 20 33 20 32 17 30 00 28 46 27 28 26 08 24 43 23 15 21 43 20 08 18 31 16 49 16 03 13 18 11 29 9 38 7 44 5 50 3 53 1 57 o 00 41 49 41 54 41 56 41 55 41 51 4i 43 41 32 41 18 41 00 40 40 40 17 39 50 39 21 38 47 38 11 37 32 36 5° 36 05 35 16 34 24 33 29 32 30 31 27 30 22 29 13 28 01 26 44 25 26 24 02 22 37 21 07 19 35 17 59 16 20 1438 12 55 11 09 9 21 7 31 5 39 3 47 1 54 o 00 00 2 14 4 2 9 6 41 851 10 59 13 02 15 01 1656 1847 20 31 22 10 23 44 25 12 26 35 27 53 29 05 30 10 31 12. 32 09 33 °° 33 47 34 28 35 °6 35 4° 36 09 36 34 36 55 37 13 37 27 37 38 37 45 37 48 37 48 37 46 37 4° 37 3i 37 19 37 °4 36 45 36 25 36 00 35 33 35 °2 34 29 33 53 33 14 32 32 31 4° 3° 59 30 08 3 3 27 15 26 11 25 °5 23 55 22 43 21 28 20 10 18 49 17 25 15 59 14 3i 13 00 11 27 8 16 6 39 5 °° 3 21 1 40 o 00 00 2 09 4 17 6 25 8 29 10 32 12 30 16 16 18 03 19 44 21 20 22 51 24 18 25 39 26 55 28 05 29 10 30 10 31 06 31 57 32 43 33 25 34 °2 34 36 35 °5 35 30 35 52 36 09 36 23 36 34 36 42 36 46 36 47 3° 45 3° 39 36 31 36 19 36 04 35 46 35 26 35 °2 34 35 34 07 33 34 32 58 32 20 31 38 30 55 30 07 29 17 28 24 27 29 26 29 25 27 24 22 23 15 22 04 20 50 19 34 18 15 16 54 15 3° 14 °5 12 36 11 06 9 34 8 00 6 26 4 51 3 14 1 37 o 00 00 2 04 4 07 6 09 8 08 10 06 12 00 13 51 15 37 17 20 18 59 20 32 22 01 23 25 24 44 25 57 27 °7 28 10 29 10 30 04 3° 55 31 4i 32 22 32 59 33 32 34 02 34 27 34 48 35 07 35 21 35 32 35 40 35 44 35 4° 35 43 35 38 35 30 35 19 35 °5 34 47 34 27 34 °5 33 39 33 10 32 38 32 04 31 27 30 46 30 02 28 28 27 36 26 41 25 45 24 42 23 39 22 33 21 25 20 13 19 59 17 41 16 23 15 02 13 38 12 13 1° 45 9 16 7 4° 6 14 4 41 3 08 1 34 o 00 00 3 56 5 53 7 48 9 4° 11 30 13 18 15 00 16 39 18 14 19 45 21 11 22 32 23 49 25 02 2b 09 27 12 28 10 29 04 29 54 3° 39 31 19 31 56 32 20 32 5» 33 24 33 45 34 04 34 18 34 29 34 38 34 43 34 44 34 42 34 37 34 30 34 19 34 °5 33 49 33 29 33 07 32 42 32 13 31 43 31 09 30 32 29 53 29 II 28 26 27 38 26 47 25 56 24 57 23 58 22 57 21 52 20 45 19 35 18 23 17 08 15 52 14 33 13 12 11 49 10 25 8 59 7 3° 6 02 4 33 3 02 1 31 o 00 00 3 4° 5 3f 7 28 9 17 11 02 12 44 14 24 15 59 17 32 1859 20 22 21 41 22 56 24 07 25 13 26 14 27 11 28 04 28 53 29 37 30 18 3° 54 31 26 31 56 32 20 32 42 33 00 33 15 33 27 33 35 33 40 33 42 33 40 33 36 33 29 33 19 33 05 32 50 32 31 32 09 31 45 31 17 30 47 30 14 29 38 29 00 28 19 27 35 26 48 25 59 25 °7 24 12 23 14 22 14 21 12 20 07 1859 17 49 1636 15 21 14 °5 12 47 11 26 10 04 8 41 7 16 5 5° 4 23 256 1 28 o 00 00 1 49 3 36 5 24 7 °9 8 53 10 34 12 13 1348 15 21 16 49 18 14 19 35 20 52 22 04 23 !3 24 17 25 17 26 13 27 05 27 53 28 37 29 17 29 53 30 25 3° 53 31 18 31 40 31 58 32 13 32 25 32 33 3238 32 41 32 39 32 3° 32 29 32 19 32 06 31 51 31 33 31 12 30 48 30 21 29 52 29 20 2845 28 08 27 28 26 45 26 00 25 12 24 20 23 27 22 31 21 33 20 32 19 28 18 23 17 14 16 04 14 52 13 38 12 21 11 03 9 44 8 23 7 01 5 39 4 14 2 50 I 25 o 00 00 1 44 3 28 5 I" 651 8 30 10 08 11 42 13 14 14 43 16 08 17 3° 18 49 20 03 21 13 22 20 23 23 24 21 25 15 26 06 26 53 27 37 28 16 28 51 29 23 29 5J 30 16 3° 37 30 5° 31 11 31 22 31 3i 31 36 31 39 31 38 31 35 31 28 31 19 31 07 30 52 30 34 30 14 29 5i 29 25 2857 28 26 27 52 27 15 26 36 25 55 25 10 24 24 23 °4 22 42 21 48 20 50 19 51 1850 17 4° 16 40 15 32 14 21 13 10 11 57 10 41 9 24 805 6 47 5 27 4 ob 2 44 b. O 10 11 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 IO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated.azinmth is to be taken for the required true bearing. 52 AZIMUTH OR TRUE BEARING. LATITUDE 11°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 11°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. o / r / / / / / / / / ' h. in. OO 00 00 00 00 00 00 00 00 00 00 00 00 lO I 39 1 34 1 31 1 27 1 22 1 18 1 14 1 11 1 07 1 03 1 00 10 20 3 18 3 10 3 01 2 53 2 44 2 36 2 29 2 21 2 13 2 07 1 59 20 30 4 56 4 43 4 31 4 18 4 06 3 53 3 42 3 3i 3 20 3 I" 2 59 30 40 6 33 6 16 5 59 5 42 5 27 8 45 5 1° 4 55 4 40 4 26 4 11 3 58 40 60 8 08 7 47 7 25 7 P5 6 26 6 07 5 49 5 31 5 13 4 56 50 1 00 9 42 9 16 851 8 27 So.) 7 4° 7 18 6 56 6 34 6 13 5 52 1 00 lO 11 12 10 43 10 14 9 47 9 19 8 53 8 27 8 02 7 38 7 13 6 49 lO 20 12 41 12 08 11 35 11 04 10 35 10 04 9 35 9 06 8 39 8 11 7 44 20 30 14 06 13 30 12 55 12 20 11 47 11 13 10 41 10 10 9 38 9 08 8 38 30 40 15 28 14 49 14 10 13 33 12 56 12 20 » 45 11 10 10 36 10 03 9 W 40 50 16 47 16 05 15 23 14 44 14 04 13 25 12 46 12 09 II 32 10 56 10 21 50 2 00 18 03 17 18 16 34 15 51 15 09 14 28 13 47 13 °6 12 27 II 48 11 11 2 OO 10 19 15 18 28 17 41 16 55 16 11 15 27 14 43 14 01 13 19 12 38 11 58 10 20 20 22 19 34 18 45 17 57 17 11 16 25 15 38 14 54 14 10 13 26 12 44 20 30 21 27 20 36 19 45 18 56 18 07 17 19 16 31 15 44 14 58 14 12 13 27 30 40 22 28 21 35 - 20 43 19 51 19 01 18 10 17 20 16 31 15 43 14.55 14 08 40 50 23 26 22 31 21 37 20 43 19 51 18 59 18 07 17 16 16 27 15 37 14 48 SO 3 00 24 19 23 23 22 27 21 32 20 38 19 45 18 52 17 59 17 08 16 16 15 26 3 OO 10 25 09 24 II 23 IS 22 18 21 23 20 27 19 33 18 39 17 46 16 54 16 01 10 20 25 54 24 56 23 58 23 01 22 04 21 08 20 12 19 17 18 22 17 28 16 34 20 30 26 37 25 37 2438 23 40 22 42 21 45 20 48 19 52 1855 18 00 17 °5 30 40 27 15 . 26 15 25 15 24 16 23 18 22 19 21 21 20 23 19 26 18 30 17 34 40 SO 27 50 26 50 25 49 24 49 23 5° 22 50 21 51 20 53 19 55 18 57 18 00 50 4 00 28 21 27 21 26 19 25 19 24 19 23 19 22 19 21 20 20 21 19 22 18 25 4 OO lO 28 50 27 48 26 46 25 45 24 45 23 44 22 44 21 45 20 45 19 46 18 46 10 20 29 14 28 12 27 10 26 09 25 08 24 08 23 07 22 05 21 06 20 05 19 °7 20 30 29 35 28 33 27 3i 26 30 25 29 24 27 23 26 22 25 21 24 20 24 19 24 30 40 29 53 28 52 27 49 26 47 25 46 24 44 23 43 22 42 21 41 20 39 19 39 40 50 30 08 29 06 28 04 27 02 26 01 24 58 23 56 22 55 21 54 20 53 19 52 50 5 OO 30 20 29 19 28 15 27 13 26 12 25 10 24 08 23 06 22 05 21 04 20 02 5 OO 10 30 29 29 27 28 24 27 23 26 21 25 19 24 18 23 15 22 14 21 13 20 11 10 20 30 35 29 33 28 31 27 29 26 27 25 26 24 24 23 22 22 20 21 18 20 17 20 30 30 37 29 35 28 33 27 32 26 31 25 29 24 27 2? 25 22 25 21 23 20 21 30 40 30 37 29 36 28 34 27 33 26 32 25 31 24 28 23 27 22 26 21 24 20 23 40 50 30 34 29 33 28 31 27 31 26 30 25 28 24 28 23 27 22 25 21 24 20 23 50 6 00 30 28 29 27 28 27 27 26 26 26 25 25 24 23 23 23 22 22 21 21 20 20 6 00 10 30 19 30 08 29 19 29 08 28 19 27 19 26 18 25 19 24 18 23 17 22 17 21 17 20 16 10 20 28 09 27 09 26 09 25 09 24 58 24 09 23 09 22 09 21 09 20 10 20 30 29 53 28 54 27 55 26 56 25 57 23 58 22 59 22 00 21 00 20 01 30 40 29 36 28 38 27 39 26 41 25 42 24 44 23 45 22 46 21 47 20 49 19 5° 40 50 29 16 28 19 27 21 26 23 25 25 24 28 23 3° 22 31 21 33 20 35 19 37 50 7 00 2854 27 58 27 01 26 04 2507 24 °9 23 11 22 I4 21 17 20 20 19 23 7 00 lO 28 28 27 33 26 37 25 41 24 45 23 48 22 51 21 55 20 59 20 03 19 06 lO 20 28 01 27 07 26 11 25 16 24 21 23 25 22 29 21 33 20 38 19 43 18 48 20 30 27 31 26 37 25 43 24 48 23 54 23 00 22 05 21 10 -20 16 19 21 18 27 30 40 26 58 26 06 25 12 24 19 23 25 22 32 21 38 20 44 19 51 18 58 18 05 40 50 26 22 25 31 2438 23 46 22 53 22 02 21 09 20 17 19 25 18 32 17 40 50 8 00 25 45 24 53 24 02 23 II 22 20 21 29 20 37 19 46 1856 18 05 17 14 8 00 10 25 °4 24 15 23 24 22 34 21 45 20 55 20 05 19 15 18 25 17 35 16 46 lO 20 24 21 23 32 22 43 21 55 21 07 20 18 19 29 18 41 17 53 17 °5 16 16 20 30 23 36 22 48 22 01 21 14 20 27 19 39 18 52 18 06 17 18 16 32 15 45 30 40 22 47 22 02 21 16 20 30 19 44 18 59 18 13 17 28 16 43 15 57 15 12 40 50 21 57 21 13 20 28 19 44 19 00 18 16 17 32 16 48 16 05 15 21 14 38 50 9 00 21 04 20 22 19 39 x l 5? 18 13 17 32 16 49 16 06 15 25 -14 43 14 01 9 OO 10 20 09 19 28 18 47 18 06 17 25 16 44 16 05 15 24 14 44 14 °3 13 24 10 20 19 12 18 32 17 53 17 14 16 35 15 56 15 18 14 39 14 01 13 23 12 44 20 30 18 12 17 35 16 57 16 20 15 43 15 06 14 29 13 53 13 17 12 40 12 04 30 40 17 10 16 35 15 59 15 24 14 49 14 14 13 40 13 05 12 30 11 56 11 22 40 50 16 06 15 33 15 °° 14 26 13 53 13 20 12 47 12 15 11 43 11 11 10 39 50 10 00 15 01 14 29 13 58 13 27 12 56 12 25 II 55 11 24 10 54 10 24 9 54 10 00 10 13 52 13 23 12 54 12 25 11 57 II 29 II 00 10 33 10 05 9 37 8 48 9 °9 lO 20 12 42 12 17 11 50 11 23 1° 57 10 31 Ti 9 39 9 14 8 23 20 30 11 32 11 07 10 43 10 19 9 55 9 32 8 45 8 22 7 59 7 36 30 40 10 19 9 57 9 35 9 13 8 52 8 31 8 10 7 49 7 28 7 °7 6 47 40 50 9 °5 8 45 8 26 8 07 748 7 30 7 11 6 52 6 34 6 16 5 57 50 11 00 7 49 7 32 7 16 6 59 6 43 6 27 6 10 5 55 5 40 5 23 5 08 11 OO 10 6 32 6 19 6 05 5 5i 5 38 5 23 5 1° 4 57 4 44 4 31 4 18 10 20 5 15 5 04 4 53 4 42 4 3i 4 20 4 09 3 58 3 48 3 37 3 26 20 30 3 57 3 48 3 40 3 31 3 23 3 15 3 °7 2 59 2 51 2 43 2 35 30 40 2 39 2 33 2 27 2 22 2 16 2 11 2 06 1 59 1 54 1 49 1 44 40 50 1 19. 1 17 1 14 1 11 I 08 1 06 1 03 1 00 58 ° 55 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East' and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 53 AZIMUTH OR TRUE BEARING. LATITUDE 12°. DECLINATION- -SAME NAME AS— LATITUDE. latitude: 12°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ii. in. o / / / / / / / / / / / / Ii. 111. OO OO c 00 00 00 00 '00 00 00 00 00 00 00 00 lO io 51 9 58 9 12 832 7 57 7 25 658 6 33 6 10 5 5° 5 31 5 14 10 20 20 53 19 17 17 54 16 39 15 33 14 35 13 42 12 54 12 10 11 31 1° 54 10 20 20 30 29 39 27 34 25 43 24 04 22 34 21 13 20 00 1853 17 51 16 55 16 03 15 15 30 40 36 .58 34 38 *l 3 l 30 36 28 50 27 15 25 46 24 23 23 09 21 58 2° 53 19 53 40 50 42 57 40 32 38 18 36 13 34 19 32 33 30 53 29 22 27 56 26 37 25 21 24 11 SO 1 00 47 48 45 24 43 08 41 01 39 ° 2 37 1° 35 26 33 47 32 14 30 47 29 25 28 08 1 00 10 51 44 49 23 47 " 45 03 43 03 41 10 39 23 37 40 36 04 34 32 33 °6 31 43 IO 20 54 56 52 41 5° 3i 48 27 46 29 44 36 42 48 41 °5 39 26 37 52 36 22 34 56 20 30 57 33 55 24 53 20 5i 19 49 24 47 33 45 46 44 °3 42 24 40 49 39 17 37 49 30 40 59 42 57 39 55 4o 53 45 51 52 50 05 48 19 46 37 45 °° 43 25 41 53 40 25 40 50 61 28 59 32 57 38 55 46 53 59 52 14 5° 32 4852 47 15 45 42 44 1° 42 42 50 2 00 62 56 61 05 59 18 57 31 55 47 54 °5 52 26 5° 49 49 14 47 42 46 12 44 44 2 OO 10 64 09 62 25 60 41 58 59 57 19 55 40 . 54 °5 52 3° 5° 57 49 27 47 58 46 31 IO 20 65 11 63 31 61 52 60 13 58 37 57 03 55 29 53 57 52 27 5°58 49 31 48 06 20 30 66 03 64 27 62 52 61 17 59 45 58 13 56 43 55 14 53 46 52 18 5° 53 49 3° 30 40 66 45 65 13 63 42 62 11 60 41 59 13 57 46 56 19 54 53 53 29 52 05 5° 43 40 50 67 20 65 51 64 24 .62 56 61 30 60 05 58 4° 57 16 55 52 54 3° 53 °8 51 47 50 3 00 6748 66 23 64 59 63 35 62 11 60 48 59 26 58 04 56 43 §3 54 °3 52 44 3 OO 10 68 12 66 49 65 28 64 06 62 45 61 25 60 05 5846 57 27 54 51 53 33 10 20 68 29 67 11 65 51 64 33 63 14 61 55 60 38 59 20 5803 56 47 55 31 54 15 20 30 68 43 67 27 66 10 64 53 63 37 62 21 61 05 59 5° 58 35 57 20 56 06 54 52 30 40 68 54 67 39 66 25 65 10 63 -, 62 41 61 28 60 14 59 °i 5748 56 34 55 22 40 50 68 59 67 48 66 35 65 22 64 10 62 57 61 45 60 34 59 22 58 11 56 59 55 48 50 4 OO 69 03 67 52 66 42 65 31 64 20 63 10 61 59 60 49 59 39 58 28 57 18 56 09 4 00 10 69 03 67 54 66 46 65 46 64 27 63 18 62 09 60 59 59 5i 58 43 57 33 5° 25 10 20 69 01 67 53 66 46 65 38 64 30 63 22 62 15 61 08 60 00 5853 57 45 56 37 20 30 68 56 67 49 66 43 65 36 64 30 63 24 62 17 61 11 60 05 58 58 57 52 56 46 30 40 68 49 67 43 66 38 65 33 64 27 63 23 62 18 61 12 60 06 59 °2 57 56 56 51 40 50 68 38 67 34 66 31 65 26 64 22 63 ii 62 14 61 10 60 05 59 °2 57 57 56 52 50 5 00 68 26 67 23 66 20 65 17 64 14 63 11 62 08 61 04 60 01 58 57 57 54 5 6 5' 5 00 lO 68 12 67 09 66 08 65 06 64 03 63 01 61 59 60 56 59 53 58 51 57 48 56 46 10 20 67 55 66 54 65 53 64 52 63 49 62 48 61 47 60 45 59 43 58 41 57 39 56 37 20 30 67 36 66 36 65 35 64 35 63 34 62 33 61 32 60 31 59 3° 5828 57 27 56 27 30 40 67 16 66 16 65 16 64 15 63 15 62 15 61 14 60 15 59 14 58 13" 57 12 56 12 40 50 66 53 65 53 64 54 63 54 62 54 61 55 60 55 59 55 5856 57 55 56 55 55 55 50 6 00 66 28 65 29 64 30 63 31 62 31 61 32 60 32 59 33 58 34 57 35 56 35 55 35 6 OO 10 66 01 • 65 02 64 03 63 04 62 06 61 07 60 07 59 °9 58 10 57 12 56 12 55 13 10 20 65 31 64 32 63 35 62 36 61 37 6038 59 4° 58 42 57 44 56 45 55 46 54 47 20 30 64 59 64 00 63 03 62 04 61 06 60 08 59 °9 58 11 57 13 56 15 55 17 54 19 53 48 30 40 64 2 § 63 27 62 29 61 3° 60 33 59 34 58 37 57 39 56 4i 55 43 54 45 40 50 63 48 62 50 61 52 60 54 59 56 5859 58 01 57 °3 56 06 55 °8 54 1° 53 13 50 7 00 63 08 62 10 61 13 60 15 59 17 58 20 57 22 56 25 55 27 54 3° 53 33 52 36 7 00 10 62 26 61 28 60 30 59 32 5» 35 57 37 56 40 55 42 54 46 53 49 52 51 51 55 10 20 61 41 60 42 59 45 58 47 57 5° 56 52 55 55 54 58 54 01 53 °4 52 °7 51 11 20 30 60 53 59 55 58 57 57 59 57 01 56 04 55 °7 54 °9 53 13 52 17 51 20 50 24 30 40 60 00 59 02 58 04 57 06 56 09 55 12 54 14 53 18 52 22 51 25 50 29 49 33 4838 40 50 59 05 58 06 57 09 56 11 55 13 54 16 53 20 52 22 51 26 5° 30 49 34 50 8 OO 58 04 57 07 56 09 55 11 54 14 53 17 52 2Q 51 23 5° 27 49 31 48 3° 47 4° 8 OO 10 57 01 56 03 55 05 54 07 53 10 52 13 51 16 5° 19 49 24 48 28 47 33 46 38 IO 20 55 54 54 55 53 58 53 °° 52 02 51 °5 5° °9 49 12 48 17 47 21 46 26 45 32 20 30 54 41 53 42 52 45 51 47 50 49 49 52 48 56 48 00 47 °4 46 10 45 15 44 21 30 40 53 23 52 25 51 27 50 28 49 32 48 34 47 39 46 43 45 48 ■ 44 54 44 00 43 07 40 50 52 00 51 01 5° 03 49 06 48 09 47 13 46 17 45 21 44 27 43 33 42 39 41 46 50 9 OO 50 31 49 32 48 35 47 37 46 40 45 44 44 49 43 54 43 °° 42 07 41 14 40 21 9 00 10 48 55 47 57 46 59 46 02 45 05 44 10 43 15 42 21 41 28 40 36 39 43 3852 10 20 47 14 46 15 45 18 44 21 43 25 42 30 41 37 40 42 39 5° 38 59 38 07 37 17 20 30 45 24 44 26 43 29 42 33 41 37 40 44 39 5i 3858 38 07 37 l" 36 25 35 37 30 40 43 26 42 29 41 32 40 37 39 44 3850 37 58 37 °7 36 16 35 1 34 39 33 51 40 50 41 19 40 23 39 29 38 34 37 42 36 50 35 59 35 °8 34 21 33 33. 32 45 31 59 SO 10 OO 39 °5 38 10 37 16 36 23 35 32 34 42 33 53 33 05 32 18 31 31 .30 46 30 02 10 00 10 36 41 35 47 34 56 34 °5 33 14 32 26 31 39 3° 53 30 08 29 24 28 40 27 58 10 20 34 07 33 15 32 26 31 36 30 49 3° °3 29 18 28 34 27 5t 27 10 26 29 25 49 20 30 31 23 30 33 29 46 29 00 28 15 27 32 26 49 26 09 25 29 24 5° 24 11 23 34 30 40 28 27 27 42 26 58 26 15 25 33 24 52 24 13 23 36 22 59 22 23 21 47 21 14 40 SO 25 23 24 4i 24 01 23 21 22 43 22 07 21 30 20 56 20 23 19 5i 19 18 18 48 50 11 00 22 08 21 30 20 54 20 18 19 45 19 13 18 41 18 10 17 40 17 12 16 44 16 18 11 00 lO 18 44 18 11 17 40 17 09 16 40 16 12 15 45 15 18 14 54 14 29 14 °5 13 42 10 20 15 " 14 43 14 17 13 52 13 28 13 °6 12 44 12 22 12 01 11 41 11 22 11 03 20 30 II 30 11 09 10 49 10 30 10 12 9 53 638 9 36 9 20 9 °5 8 5° 8 34 8 20 30 40 7 43 7 29 7 16 7 02 6 50 6 27 6 15 6 05 5 54 5 45 5 34 40 50 3 53 3 45 3 38 3 33 3 26 3 20 3 14 3 °9 3 °3 2 58 2 52 2 48 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 54 AZIMUTH OR TRUE BEARING. LATITUDE 12°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 12°. Hour Angle. 36° 37° 38° 39° 410 42° 43° 44° 45° 46° 47° Hour Angle. h. 10 11 12 in. 00 10 20 30 40 SO 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 o 1 O OO 4 58 9 5° 14 3° 18 57 23 06 26 55 30 24 33 34 36 25 38 59 41 15 43 18 45 °6 46 42 48 07 49 23 50 28 51 27 52 17 53 °I 53 39 54 10 54 37 54 59 55 16 55 30 55 39 55 45 55 48 55 47 55 43 55 35 55 25 55 11 54 55 54 36 54 14 53 49 53 21 52 49 52 16 51 39 5° 58 5° 15 49 27 48 37 47 43 46 45 45 43 44 37 43 28 42 13 4° 54 39 30 38 02 36 28 34 49 33 °4 31 14 29 19 27 17 25 II 22 58 20 41 18 19 15 51 13 19 10 45 8 06 526 2 43 00 o 00 4 43 9 20 13 48 18 04 22 04 25 46 29 11 32 16 35 05 37 36 39 53 41 55 43 44 45 20 46 47 48 03 50 09 51 °l 51 47 52 25 52 59 53 27 53 50 54 09 54 24 54 33 54 4° 54 44 54 44 54 41 54 33 54 24 54 11 53 56 53 36 53 15 52 50 52 23 51 52 51 19 5°4i 50 01 49 19 4= 32 47 42 45 50 44 49 43 43 42 35 41 20 40 02 38 39 37 12 35 39 34 01 32 18 30 30 28 36 26 37 24 33 22 23 20 09 17 49 15 25 12 58 10 26 7 52 5 16 2 38 00 o 00 4 29 8 54 13 09 17 15 21 06 24 4° 27 59 31 01 36 16 38 32 40 34 42 23 44 00 45 27 46 45 47 53 48 53 49 46 50 32 51 4 52 17 52 41 53 00 53 16 53 27 53 35 53 40 53 4i 53 37 53 31 53 22 53 10 52 55 52 37 52 15 51 5i 51 24 50 54 50 21 49 45 49 05 48 21 47 3° 46 46 45 53 44 56 43 55 42 50 41 41 40 29 39 11 37 49 36 22 34 5o 33 14 31 33 29 46 27 55 25 57 23 56 21 48 19 37 17 21 15 01 12 37 10 09 7 40 5 08 2 34 o 00 o 00 4 16 8 29 12 33 16 28 20 10 23 39 26 51 29 49 32 32 35 00 37 14 39 15 41 04 42 41 44 °9 45 27 46 36 47 37 4831 49 19 50 01 5° 36 51 07 51 32 51 53 52 09 52 21 52 30 52 35 52 36 52 34 52 29 52 21 52 09 51 55 51 37 51 16 ,50 53 50 26 49 56 49 23 48 47 48 08 47 25 46 40 45 51 44 58 44 01 43 01 41 57 40 49 39 36 38 19 36 59 35 32 34 02 32 28 30 47 29 02 27 13 25 18 23 19 21 15 19 06 i6 53 14 36 12 17 9 53 7 27 4 59 2 30 o 00 o 00 4 04 8 05 11 59 15 45 19 19 22 40 25 47 28 41 31 20 33 4° 35 58 37 58 39 47 41 25 42 52 44 « 45 21 46 23 47 18 48 06 48 49 49 26 49 57 50 23 50 45 51 03 51 1° 51 25 51 31 51 33 51 32 51 27 51 19 51 09 50 55 50 37 50 17 49 55 49 28 48 58 48 27 47 51 47 12 46 30 45 43 44 56 44 03 43 07 42 08 41 04 39 57 3846 37 3° 36 09 34 44 33 16 31 42 30 04. 28 21 26 33 24 40 22 43 20 42 1836 16 27 14 13 11 57 9 37 7 14 4 51 2 26 00 o 00 3 53 743 11 27 15 03 18 30 21 44 24 46 27 34 30 11 32 34 34 44 36 44 3831 40 09 4i 36 42 56 44 06 45 10 46 05 46 54 47 38 48 15 4848 49 15 49 37 49 56 50 10 50 20 50 27 50 29 50 29 50 25 50 17 50 07 49 54 49 37 49 18 48 55 48 30 48 00 47 29 46 54 46 16 45 34 44 49 44 01 43 09 42 14 41 14 40 12 39 05 37 54 36 39 35 20 33 56 32 29 3° 56 29 19 27 39 25 54 24 03 22 08 20 10 18 07 16 00 13 49 11 37 9 21 7 03 4 43 2 22 o 00 o 00 3 43 7 22 1057 14 25 17 43 20 51 23 47 26 31 29 04 31 24 33 33 35 31 37 18 38 55 40 23 41 43 42 53 43 57 44 53 45 43 46 27 47 05 47 38 48 06 48 30 48 49 49 04 49 15 49 22 49 26 49 26 49 23 49 16 49 07 48 54 48 38 48 19 47 57 47 32 47 03 46 32 45 57 45 19 44 39 43 54 43 06 42 15 41 20 40 22 39 19 38 14 37 04 35 50 34 31 33 09 31 43 30 12 28 37 26 58 25 14 23 26 21 34 1938 17 38 15.34 13 28 n 18 9 04 651 4 34 2 17 o 00 o 00 3 33 7 03 10 28 13 48 16 59 19 59 22 51 25 30 27 59 30 17 32 24 34 20 36 06 37 43 39 11 40 29 41 41 42 44 43 42 44 32 45 17 45 56 46 30 4658 47 23 47 42 47 59 48 10 48 19 48 23 48 23 48 21 48 14 48 06 47 54 47 38 47 19 4658 46 33 46 05 45 34 45 00 44 23 43 42 42 57 42 11 41 20 40 26 39 29 38 27 37 22 36 13 35 01 33 43 32 23 30 57 29 29 27 55 26 18 24 36 22 50 21 01 19 07 17 10 15 09 13 06 i°59 8 50 6 39 4 27 2 13 o 00 00 3 23 6 45 10 01 13 12 16 16 19 11 21 57 24 32 26 57 29 12 31 16 33 12 34 56 36 32 37 59 39 18 40 30 41 34 42 31 43 22 44 07 44 47 45 22 45 51 46 16 46 37 46 53 47 05 47 14 47 19 47 21 47 19 47 13 47 04 46 54 4638 46 20 45 59 45 34 45 07 44 37 44 03 43 26 42 46 42 03 41 16 40 26 39 33 38 3° 37 36 3° 32 35 23 34 12 32 56 31 37 30 13 28 45 27 14 2538 23 58 22 15 20 27 iS 37 16 42 14 44 12 44 10 41 6 29 4 19 o 00 3 15 6 27 9 36 12 39 15 36 18 25 21 05 23 36 2558 28 09 30 11 32 04 33 48 35 23 36 50 38 08 39 19 40 23 41 21 42 13 42 58 43 38 44 14 44 44 45 10 45 30 45 47 46 01 46 10 46 16 46 17 46 16 46 11 46 04 45 53 45 38 45 21 45 00 44 36 44 °9 43 40 43 o5 42 3° 41 50 41 08 40 22 39 33 38 40 37 44 36 44 35 41 34 34 33 23 32 09 30 50 29 28 28 02 26 32 24 58 23 21 21 40 16 14 14 20 12 23 10 23 8 21 6 17 4 13 2 07 00 O OO 3 06 6 11 9 12 12 08 14 57 17 41 20 15 22 43 24 59 27 08 29 08 30 59 32 41 34 15 35 41 36 59 38 10 39 14 40 12 41 04 41 50 42 31 43 06 43 37 44 03 44 25 44 42 44 56 45 06 45 12 45 14 45 14 45 10 45 03 44 52 44 38 44 20 44 01 43 38 43 II 42 42 42 10 41 34 4o 55 40 14 39 28 38 40 37 48 36 52 35 54 34 51 33 45 32 35 31 22 30 05 28 45 27 20 25 52 24 20 22 45 21 05 19 23 17 37 154? 13 56 12 02 10 05 8 08 6 07 4 05 2 03 o 00 o 00 2 58 5 55 849 .11 38 14 21 16 59 19 28 21 50 2404 26 10 28 06 29 55 31 36 33 08 34 34 35 51 37 °2 38 06 39 04 39 56 40 42 4i 23 41 59 42 30 42 57 43 20 43 38 43 52 44 02 44 09 44 12 44 12 44 08 44 02 43 51 43 39 43 2- 43 02 42 40 42 14 41 45 41 13 40 38 40 00 39 18 38 34 37 47 36 55 36 00 35 02 34 01 32 5° 31 47 30 35 26 39 25 12 23 42 22 09 20 31 18 51 17 08 15 22 13 33 II 42 9 49 7 53 5 56 3 58 I 59 o 00 h. O 10 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40- 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 110 E20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned fromlNorth to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 55 AZIMUTH OR TRUE BEARING. LATITUDE 12°. DBCLINATION- -SAME NAME AS— LATITUDE. LATITUDE 12°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / r / / f / / / / i / / b. m. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 30 40 2 51 2 43 2 36 2 29 2 24 4 46 2 17 2 11 2 06 2 01 1 55 1 50 1 45 10 5 40 5 26 5 12 4 59 4 34 4 22 4 11 4 00 3 50 3 40 3 31 20 8 26 8 04 7 44 7 25 7 °7 6 49 6 32 6 15 5 59 5 44 5 29 1 *i 30 ii 09 10 41 10 14 9 49 9 25 9 02 8 39 8 18 7 57 7 36 7 17 6 58 40 r 50 13 46 13 13 12 40 12 10 " 39 11 10 10 44 10 17 9 50 9 26 9 02 8 38 50 1 00 16 17 15 38 15 01 14 25 13 49 13 16 12 44 12 12 11 43 11 13 10 45 10 17 1 OO 10 18 42 17 57 17 14 16 35 15 55 15 17 14 4i 14 05 13 3i 12 57 12 24 11 53 lO 20 21 00 20 12 19 25 18 40 17 56 17 14 16 33 15 53 15 15 14 38 14 01 13 26 20 30 23 10 22 18 21 28 20 38 19 51 19 05 18 21 17 37 1656 16 15 1748 15 34 14 54 30 40 25 12 24 17 23 24 22 32 21- 40 20 51 20 04 19 16 18 31 17 04 16 21 40 50 27 06 26 08 25 13 24 17 23 23 22 31 21 41 20 51 20 02 19 '5 18 29 17 45 50 2 OO 28 53 27 52 2655 25 57 25 00 24 06 23 13 22 20 21 29 20 40 19 51 19 03 2 00 lO 30 31 29 29 28 29 27 29 26 31 25 35 24 39 23 44 22 51 21 59 21 08 20 17 10 20 32 03 30 59 29 57 28 56 27 56 2657 26 00 25 03 24 08 23 15 22 21 21 29 20 30 33 27 32 22 31 19 30 17 29 15 28 15 27 16 26 18 25 21 24 25 23 29 22 36 30 40 34 44 33 39 34 48 32 34 31 31 30 28 29 26 28 27 27 27 26 28 25 31 24 34 23 38 40 50 35 54 33 44 32 39 31 35 30 33 29 3i 28 31 27 31 26 32 25 34 24 37 50 3 00 3658 35 51 34 46 33 41 32 37 3i 34 30 32 29 30 28 29 27 29 26 30 25 31 3 OO 10 37 56 36 49 35 43 34 38 33 33 32 30 31 27 30 24 29 23 28 22 27 22 26 22 10 20 38 47 37 41 3636 35 29 34.24 33 20 32 17 31 14 30 11 29 10 28 09 27 09 20 30 39 35 38 28 37 22 36 16 35 11 34 06 33 03 31 59 30 56 29 55 28 52 27 51 30 40 40 16 39 09 38 03 36 57 35 52 34 47 33 43 32 40 31 37 30 34 29 32 28 30 40 50 40 53 39 46 3841 37 35 36 30 35 25 34 20 33 16 32 13 31 11 3° 07 29 05 50 4 00 41 24 40 18 39 J 3 38'06 37 01 35 57 34 53 33 49 32 45 31 42 3° 39 29 36 4 OO 10 41 51 40 45 39 41 38 35 37 29 36 25 35 21 34 17 33 14 32 11 31 07 30 05 10 20 42 14 41 08 40 04 38 59 37 54 36 50 35 46 34 42 33 38 32 35 31 32 30 29 20 30 42 33 41 27 40 23 39 18 38 14 37 10 36 06 35 03 33 59 32 55 31 53 30 5° 30 40 42 47 4i 43 40 39 39 34 38 30 37 27 36 23 35 20 34 16 33 13 32 10 31 07 40 50 4* 58 4i 55 40 51 39 47 38 43 37 4° 36 37 35 33 34 30 33 27 32 24 31 21 50 5 OO 43 06 42 02 40 59 39 55 38 52 37 50 36 46 35 43 34 40 33 37 32 35 31 32 5 00 10 43 °9 42 06 41 04 40 01 3858 37 56 36 53 35 50 34 47 33 45 32 43 31 39 10 20 43 10 42 07 41 05 40 02 39 0° 37 58 3656 35 53 34 51 33 5° 32 47 31 45 20 30 43 06 42 04 4i 03 40 01 38 59 37 58 36 55 35 54 34 51 33 50 32 49 31 46 30 40 42 59 4i 58 40 58 39 56 38 55 37 53 36 52 35 51 34 49 33 48 32 46 31 45 40 50 42 50 41 50 40 50 39 48 38 48 37 47 36 46 35 45 34 44 33 43 32 42 31 41 50 6 OO 42 38 4i 38 40 38 39 37 38 37 37 37 36 37 35 35 34 35 33 35 32 34 31 33 6 00 lO 42 21 41 22 40 23 39 23 38 23 37 23 36 24 35 24 34 24 33 24 32 24 31 24 lO 20 42 02 41 04 40 06 39 06 3807 37 07 36 °8 35 09 34 09 33 10 32 10 31 11 20 30 41 40 40 42 39 44 38 45 37 47 3648 35 49 34 51 33 52 32 54 31 54 30 55 30 40 41 16 40 18 39 21 38 22 37 24 36 26 35 29 34 30 33 32 32 34 31 35 30 37 40 50 40 47 39 50 38 53 37 55 36 59 36 01 35 03 34 06 33 09 32 12. 31 13 30 15 50 7 OO 40 16 39 19 38 23 37 26 36 29 35 33 34 37 33 40 32 43 31 46 30 49 29 52 7 OO 10 39 4i 38 45 37 49 3 f 5 3 35 58 35 02 34 06 33 09 32 38 32 13 31 18 30 22 29 26 10 20 39 04 38 08 37 14 36 18 35 23 34 27 33 33 31 43 30 47 29 52 2856 20 30 38 23 3728 36 35 35 40 34 45 33 51 32 57 32 02 31 08 3° 14 29 19 28 25 30 40 37 39 36 46 35 52 34 58 34 04 33 11 32 17 31 24 30 30 29 37 28 44 27 5° 40 50 36 53 36 00 35 07 34 13 33 21 32 28 31 36 30 43 29 51 28 59 28 05 27 14 50 8 OO 36 02 35 10 34 18 33 26 32 33 31 42 30 51 29 59 29 08 28 17 27 25 26 34 8 00 10 35 08 34 18 33 27 32 35 31 44 30 54 30 03 29 12 28 23 27 32 26 42 25 52 lO 20 34 12 33 22 32 31 31 41 30 51 30 02 29 13 28 23 27 34 26 45 25 56 25 07 20 30 33 « 32 22 31 33 30 43 29.55 29 07 28 19 27 30 26 42 25 55 25 08 24 20 30 40 32 07 31 19 3° 31 29 44 ,28 56 ' 28 09 27 22 26 35 25 49 25 03 24 17 23 3° 40 50 31 01 30 14 29 27 28 40 27 54 27 09 26 23 25 37 24 52 24 07 23 23 22 38 50 9 00 29 50 29 04 28 19 27 33 26 49 26 04 25 21 24 36 23 53 23 10 22 26 21 43 9 OO 10 2835 27 51 27 07 26 24 25 40 24 58 24 IS 23 08 23 33 22 51 22 09 21 28 20 46 10 20 27 18 26 35 25 53 25 10 24 30 23 48 22 27 21 47 21 06 20 26 19 46 20 30 25 57 25 15 24 35 23 55 23 15 22 36 21 57 21 18 20 39 20 01 19 23 18 46 30 40 24 32 23 53 23 14 22 36 21 5» 21.20 20 43 20 06 19 30 1853 18 17 17 41 40 50 23 04 22 26 21 5° 21 13 20 38 20 02 19 27 18 52 18 18 17 44 17 09 1636 50 lO OO 21 32 2058 20 23 19 49 19 15 18 42 18 08 17 36 17 03 16 31 15 59 15 27 10 00 10 19 58 19 25 1S53 18 21 17 49 17 18 1647 16 17 15 46 15 16 14 47 14 18 10 20 18 21 17 SO 17 20 16 50 16 21 15 52 15 24 14 56 14 28 14 00 13 33 13 06 20 30 16 39 16 12 15 45 15 17 14 5i 14 25 13 58 13 32 13 07 12 42 12 17 II 52 30 40 14 56 14 31 14 06 13 42 13 18 12 54 12 31 12 07 II 45 II 22 11 00 10 37 40 50 13 10 12 48 12 26 12 04 11 43 II 22 11 01 10 41 10 20 10 01 ' 9 40 9 21 50 11 00 11 22 II 02 10 43 10 25 10 07 9 47 9 30 9 12 8 55 837 8 20 8 04 11 00 10 9 32 9 15 8 59 844 8 27 8 13 7 57 7 43 7 28 7 13 6 59 6 45 lO 20 7 40 7 26 7 14 7 00 6 48 6 35 6 24 6 11 5 59 5 47 5 36 5 25 20 30 5 46 5 36 5 26 5 17 5 07 4 57 4 49 4 39 4 30 4 21 4 r 3 4 05 30 40 3 5} 3 45 3 38 3 31 3 25 3 19 3 13 3 07 3 00 2 54 2 48 2 43 40 50 156 1 52 1 49 1 46 1 43 1 40 1 37 1 33 1 3° 1 27 1 24 1 21 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 56 AZIMUTH OR TRUE BEARING. LATITUDE 12°. DECLINATION— SAME NAME AS- -LATITUDE. LAT1TCDE 12°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. ta. in. o / / / / / / ' / / / / / ta. 111. 00 oo 00 00 00 00 00 00 00 00 00 00 00 10 I 41 1 37 1 32 1 27 1 24 1 20 1 16 1 11 1 07 1 04 1 01 10 20 . 3 2I 3 12 3 03 2 55 2 46 2 39 2 30 2 22 2 16 2 08 2 00 20 30 5 oi 4 47 4 34 4 21 4 °9 3 56 3 45 3 34 3 22 3 12 3 01 30 40 6 39 6 22 6 03 5 47 5 3° 5 14 4 59 4 44 4 29 4 14 4 00 40 50 8 15 7 53 7 32 7 12 °5l 631 6 12 5 53 5 34 5 16 4 59 50* 1 00 9 51 9 24 858 8 34 8 10 7 46 7 23 7 00 6 38 6 18 5 57 1 OO 10 II 22 10 52 10 23 9 54 9 27 8 59 8 34 8 07 7 42 7 18 6 53 IO 20 12 52 12 17 11 45 11 13 10 42 10 12 9 42 9 13 844 8 17 7 49 20 30 14 17 13 40 13 04 12 30 11 56 II 21 10 48 10 16 9 44 9 13 843 30 40 15 41 15 01 14 21 13 43 13 06 12 29 11 53 11 18 10 43 10 09 9 36 40 50 17 00 16 16 15 35 14 54 14 14 13 35 12 56 12 17 11 40 11 03 10 27 * 50 2 00 18 17 17 3i 16 46 16 02 15 19 14 37 13 56 13 15 12 35 11 55 11 17 2 00 10 19 29 18 41 17 54 17 08 16 22 15 37 14 53 14 10 13 27 12 46 12 04 IO 20 20 38 19 47 18 58 18 09 19 08 17 22 16 34 15 48 15 03 14 18 13 33 12 50 20 30 21 43 20 50 ■ 19 59 18 19 17 29 16 41 15 53 15 06 14 19 13 34 30 40 22 44 21 50 20 56 20 03 19 12 18 21 17 31 16 41 15 52 15 04 14 16 40 50 23 40 22 45 21 50 20 56 20 02 19 10 18 18 17 26 16 35 15 45 14 55 50 3 00 ■'' 24 34 23 37 22 40 21 45 20 50 19 56 19 02 18 08 17 16 16 24 15 33 3 OO 10 25 23 24 25 23 28 22 31 21 35 20 39 19 44 18 49 17 55 17 01 16 09 10 20 26 09 25 10 24 II 23 13 22 15 21 19 20 22 19 27 18 31 17 36 16 42 20 30 26 51 25 5i 24 51 23 52 22 54 21 56 20 58 20 01 19 05 18 09 17 13 30 40 27 29 26 28 25 28 24 28 23 29 22 30 21 32 20 33 19 35 18 39 17 41 40 50 28 03 27 02 26 01 25 01 24 00 23 01 22 01 21 02 20 03 19 06 18 08 50 4 00 2834 27 32 26 31 25 3° 24 30 23 28 22 29 21 29 20 30 19 31 18 32 4 00 10 29 02 28 00 26 58 25 57 24 55 23 54 22 54 21 53 20 53 19 53 18 53 10 20 29 27 ' 28 23 27 21 26 20 25 18 24 16 23 15 22 15 21 14 20 13 19 14 20 30 29 47 » 28 44 27 41 26 40 25 38 24 36 23 34 22 33 21 32 20 31 19 31 30 40 30 04 29 01 27 59 26 56 25 55 24 53 23 51 22 49 21 47 20 47 19 46 40 50 30 19 29 16 28 13 27 11 26 09 25 °7 24 °4 23' 03 22 01 20 59 19 *8 50 5 OO 30 29 29 27 28 25 27 22 26 21 25 18 24 16 23 14 22 11 21 10 20 09 5 OO 10 30 37 29 35 28 33 27 31 26 28 25 27 24 24 23 23 22 20 21 19 20 17 10 20 -3° 42 29 40. 28 38 27 37 26 34 25 32 24 3° 23 28 22 27 21 24 20 23 20 30 3° 45 29 42 . 28 41 27 39 26 38 25 35 24 33 23 32 22 29 ' 21 28 20 27 30 10 30 43 29 42 28 41 27 39 26 38 25 36 24 34 23 32 22 31 21 30 20 28 40 50 30 40 29 39 28 38 27 36 26 35 25 34 24 32 23 31 22 30 21 29 20 27 50 6 00 30 33 29 33 28 32 27 31 26 31 25 3° 24 29 23 27 22 26 21 25 20 25 6 00 10 '. 30 23 29 23 28 23 27 23 26 23 25 23 24 22 23 22 22 20 21 20 20 20 10 20 30 12 29 12 28 12 27 13 26 13 25 13 24 13 23 13 22 13 21 13 20 13 20 30 29 57 28 58 27 58 26 59 26 01 25 01 24 02 23 °3 22 03 21 03 20 04 30 40 29 39 28 41 27 42 26 44 25 46 24 47 23 48 22 49 21 50 20 52 19 52 40 50 29 19 28 21 27 23 26 26 25 28 24 3° 23 32 22 34 21 36 20 38 19 40 50 7 OO 28 55 27 58 27 02 26 05 25 08 24 11 23 13 22 16 21 19 20 22 19 25 ' 7 OO io 28 30 .27 34 26 38 25 41 24 46 23 5° 22 53 21 57 21 00 20 04 19 08 IO 20 28 02 27 07 26 11 25 16 24 21 23 25 22 30 21 35 20 40 19 44 18 49 20 30 27 31 26 37 25 43 24 48 23 55 23 00 22 06 21 11 20 17 19 22 18 28 30 40 26 58 26 04 25 11 24 18 23 25 22 31 21 38 20 45 19 51 1858 18 06 40 50 26 22 25 29 24 37 23 45 22 54 22 01 21 09 20 17 19 25 18 33 17 41 50 8 00 25 43 24 52 24 01 23 10 22 20 21 2Q 20 38 19 47 18 56 18 05 17 14 8 00 10 25 02 24 12 23 23 22 33 21 44 20 54 20 04 19 14 18 25 17 36 16 46 IO 20 24 19 23 3° 22 42 21 54 21 05 20 17 19 29 18 41 17 52 17 04 16 17 20 30 23 33 22 46 21 58 21 12 20 25 19 38 18 51 18 04 17 18 16 31 ! 5 45 30 40 22 44 21 58 21 13 20 28 19 42 1858 18 12 17 26 16 41 15 56 15 11 40 50 21 53 21 10 20 25 19 42 18 58 18 14 17 30 16 47 16 04 15 20 14 37 50 9 00 21 00 20 17 Ig 35 18 53 18 11 17 29 16 47 16 06 15 24 14 42 14 01 9 OO 10 20 05 19 08 19 24 18 43 18 03 17 23 16 43 16 02 15 22 14 42 14 02 13 22 10 20 18 29 17 50 17 12 16 32 15 54 15 I 6 14 38 14 00 13 22 12 43 20 30 18 08 17 30 16 54 16 17' 15 4° IS °4 14 27 13 5i 13 15 12 38 12 03 30 40 17 06 16 31 15 56 15 21 14 46 14 12 13 37 13 03 12 29 11 54 II 21 40 50 16 02 '5 29 14 56 14 23 13 5° 13 18 12 45 12 13 II 41 II 10 10 38 50 10 00 14 57 14 25 13 55 13 24 12 53 12 23 11 53 II 22 10 52 10 23 9 54 10 00 10 13 48 13 19 12 51 12 23 " 55 11 26 10 58 10 30 10 02 9 35 9 08 10 20 12 39 12 13 11 46 11 20 1° 54 10 29 10 03 9 38 9 12 8 47 8 22 20 30 11 28 11 03 10 40 10 16 9 53 9 30 ■ 9 06 8 43 8 20 7 57 7 34 30 40 10 15 9 54 9 32 § " 8 50 8 30 8 08 7 48 7 27 7 06 6 46 40 50 9 02 8 43 8 24 8 05 7 46 7 28 7 10 651 6 33 6 15 5 57 50 11 00 7 47 7 30 7 14 6 58 6 42 6 25 6 10 5 54 5 38 5 23 5 07 11 OO 10 6 31 6 17 6 03 5 49 5 36 5 23 5 °9 4 08 4 56 4 43 4 30 4 17 10 20 5 14 5 02 4 51 4 41 4 3° 4 19 3 57 2 58 3 47 3 36 3 26 20 30 3 56 3 47 3 39 3 31 3 23 3 15 3 06 2 51 2 43 2 35 30 40 2 38 2 32 2 27 2 21 2 16 2 10 2 04 I 59 1 54 1 49 1 44 40 50 1 19 1 16 1 13 1 10 1 08 1 °5 1 02 1 00 57 54 52 50 12 1 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or Eas of the meridian, the, tabulated azimuths are rf ckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 57 AZIMUTH OR TRUE BEARING. LATITUDE 13°. DECUNATION- -SAME NAME AS— IvATITUDE. LATITUDE 13°. Hour An gle. 24°' 25° 26° 27° 28°. 29° ' . 30° / 31° • 32° 33° 34° 35° Hour Angle. Ii. in. / b 1 / ' / / / / / / Ii. hi. 00 00 00 00 . 00 00 00 00 00 00 00 00 00 00 10 ii 47 10 45 9 53 9 °7 8 28 7 53 7 21 6 54 6 29 6 06 5 45 5 27 10 20 22 34 20 44 19 09 17 44 16 31 15 25 14 26 •13 34 12 46 12 02 11 23 10 46 20 30 30 31 4° 29 26 27 21 25 3° 23 5i 22 22 21 02 19 49 18 42 17 40 16 44 15 52 40 39 17 36 44 34 23 32 16 30 21 28 36 27 00 25 3J 24 10 22 54 21 44 20 39 40 50 45 18 42 41 40 15 38 01 35 57 34 02 32 16 30 36 29 05 27 39 26 19 25 04 50 1 <00 5° 05 47 31 45 05 42 5° 40 42 38 43 36 51 35 °° 33 28 31 55 30 28 29 06 1 OO lO 10 53 54 51 26 49 °4 46 51 44 44 42 44 40 50 39 °3 37 20 35 43 34 12 32 44 20 5658 54 37 52 21 50 II 48 07 46 OS 44 15 42 26 40 42 39 °4 37 30 35 59 20 30 30 59 26 57 12 55 03 52 59 50 58 49 °2 47 10 45 23 43 39 42 00 40 25 38 53 40 61 27 59^21 57 17 55 18 53 22 51 30 49 4i 47 5° 4° 13 44 34 43 00 41 28 40 50 °3 05 61 06 59 °9 57 15 55 24 53 35 51 49 50 07 48 27 46 49 45 15 43 44 50 2 00 64 27 62 34 60 42 58 53 57 07 55 23 53 40 52 00 50 23 48 47 47 15 45 44 2 OO 10 65 34 63 47 62 00 60 17 58 34 56 54 55 14 53 37 52 03 50 29 48 59 47 29 10 20 66 30 64 47 63 06 61 26 59 48 58 12 56 36 55 02 53 30 5i 5? 5° 3° 49 02 20 30 67 14 65 38 64 01 62 25 60 51 59 17 57 45 5° 14 54 45 53 1° 51 49 50 24 30 40 Sz 52 66 18 64 46 63 H 61 43 60 14 58 44 57 1° 55 49 54 23 52 58 51 34 40 50 68 22 66 53 65 23 63 55 62 28 61 01 59 35 58 10 5° 44 55 21 53 58 52 36 50 3 00 68 46 67 20 °5 55 64 30 63 05 61 41 60 17 58 54 57 32 56 11 54 5° 53 30 3 00 10 69 05 67 42 66 19 64 58 °3 36 62 14 6° 53 59 32 58 13 56 54 55 35 54 16 lO 20 69 19 67 59 66 39 65 19 64 01 62 41 61 23 60 05 58 47 57 29 56 13 54 56 20 30 69 29 68 12 66 55 65 37 64 20 63 04 61 48 60 31 59 15 58 00 56 44 55 30 30 40 69 36 68 21 67 05 65 51 64 36 63 21 62 07 °° 53 59 39 58 25 57 12 55 58 40 50 69 39 68 26 67 12 66 00 64 47 63 34 62 21 61 09 59 57 58 44 57 32 56 20 50 4 00 6938 68 28 67 16 66 05 5 4 5§ 64 58 63 43 62 32 61 22 60 11 59 °° 57 49 56 40 4 OO lO 69 36 68 27 67 17 66 07 63 49 62 39 61 30 60 21 59 I2 58 03 5° 53 10 20 69 30 68 22 67 14 66 07 °4 59 °3 51 62 43 61 35 60 27 59 19 58 12 57 °4 20 30 69 23 68 16 67 10 66 03 64 56 °3 50 62 44 61 37 60 30 59 23 58 16 57 09 30 40 69 12 68 07 67 02 65 56 64 52 63 46 62 40 61 35 60 29 59 24 58 18 57 12. 40 50 69 00 67 56 66 52 65 47 64 43 63 39 62 34 61 30 60 25 59 21 58 17 57 12 50 5 OO -6845 67 42 66 39 6 5 35 64 32 63 29 62 26 61 22 60 19 59 15 58 12 57 08 5 00 lO 68 28 67 26 66 24 65 22 64 20 63 17 62 14 61 12 60 09 59 °6 58 04 57 01 10 20 68 10 67 09 66 06 65 °5 64 04 °3 °3 62 01 60 59 59 57 58 55 57 54 56 51 20 30 67 49 66 48 65 47 64 46 63 45 62 45 61 44 60 43 59 42 5841 57 39 5° 38 30 40 67 25 66 25 65 25 64 25 63 25 62 25 61 24 60 24 59 24 58 23 57 23 56 22 40 50 67 00 66 01 65 01 64 02 63 02 62 03 61 03 60 03 59 °3 58 03 57 °3 56 03 50 6 OO 66 33 65 34 64 35 63 36 62 37 61 38 60 38 59 39 58 40 • 57 41 56 42 55 42 6 00 10 66 03 65 05 64 06 63 07 62 09 61 10 60 11 59 13 58 14 57 15 56 16 55 18 10 20 °5 32 64 34 °3 35 62 37 61 38 60 40 59 42 58 44 57 45 56 47 55 49 ■54 50 20 30 f4 57 64 00 63 01 62 04 61 06 60 08 59 1° 58 12 57 14 56 16 55 18 54 20 30 40 64 21 63 23 62 26 61 27 60 30 59 32 58 34 57 37 56 39 55 42 54 44 53 47 40 50 63 42 62 45 61 47 60 49 59 52 58 55 57 57 56 59 56 02 55 06 54 08 53 11 50 7 00 63 00 62 03 61 05 60 08 59 11 58 13 57 16 56 19 55 23 54 26 53 29 52 32 7 OO 10 62 16 61 18 60 20 59 24 58 27 57 30 56 32 55 36 54 39 53 42 52 46 51 49 10 20 61 28 60 32 59 34 58 37 57 40 56 42 55 46 54 49 53 53 52 57 52 00 51 04 20 SO 60 38 59 41 5843 57 46 56 49 55 53 54 55 53 59 53 °4 • 52 07 51 11 50 15 30 40 . 59 44 58 46 - 57 49 56 52 55 56 54 58 54 02 53 06 S 2 10 51 14 50 18 49 23 40 50 5846 57 50 56 52 55 55 54 58 54 02 53 °5 52 09 51 14 50 18 49 22 48 27 50 8 00 57 46 56 48 55 50 54 53 53 57 53 0° 52 04 51 08 50 13 49 17 48 22 47 27 8 00 10 56 40 55 43 54 45 • 53 48 52 52 51 55 50 59 50 04 49 08 48 13 47 19 46 24 lO 20 55 3° 54 32 53 35 52 38 51 42 50 46 49 49 48 54 47 5? 47 °4 46 II 45 17 20 30 54 16 53 19 52 21 51 23 50 28 49 32 48 36 47 40 46 46 45 52 44 58 44 °5 30 40 52 57 '51 59 51 02 50 04 49 °9 48 13 47 18 4° 23 45 28 44 35 43 41 42 49 40 50 51 32 5° 34 49 36 48 40 47 45 46 49 45 54 44 59 44 06 43 13 42 20 41 28 50 9 00 5° 01 49 04 48 06 47 1° 46 15 45 20 44 25 43 31 42 38 41 46 40 54 40 02 9 OO 10 48 24 47 28 46 30 45 34 44 39 43 45 42 51 41 58 41 06 40 14 39 23 38 32 10 20 46 41 45 44 44 48 43 52 42 58 42 04 41 10 40 18 39 27 3836 37 47 36 57 20 30 44 50 43 53 42 58 42 03 41 09 40 16 39 24 38 33 37 43 36 53 36 04 35 16 30 40 42 51 41 55 41 01 40 07 39 14 38 23 37 31 36 41 35 53 35 04 34 17 33 3° 40 50 4045 39 50 38 57 38 04 37 13 36 22 35 32 34 43 33 56 33 09 32 23 31 38 50 lO 00 38 30 37 36 36 44 35 53 35 03 34 14 33 26 32 39 31 54 31 °9 30 25 29 41 10 00 10 36 05 35 14 34 23 33 34 32 46 31 59 31 12 30 27 29 44 29 01 23 19 27 38 10 20 33 32 32 43 31 53 31 06 30 21 29 3° 28 52 28 09 27 29 26 48 26 09 25 3° 20 30 30 49 30 01 29 16 28 31 27 48 27 06 26 24 25 45 25 07 24 29 23 52 23 16 30 40 27 56 27 11 26 28 25 47 25 °7 24 29 23 51 23 14 22 38 22 04 21 30 20 56 40 50 24 5.3 24 12 23 33 22 55 22 19 21 44 21 09 20 36 20 03 19 33 19 02 18 33 50 11 00 21 40 21 04 20 30 19 55 19 24 18 53 18 21 17 52 17 24 16 56 16 29 16 02 11 OO lO 18 20 17 48 17 18 16 49 16 22 15 54 15 28 15 03 14 39 14 15 13 52 13 29 10 20 14 5° 14 25 14 OO 13 36 13 13 12 51 12 29 12 08 11 49 II 29 11 11 10 52 20 30 11 14 10 54 10 35 10 17 10 00 9 42 9 26 9 10 8 55 8 40 8 26 8 12 30 40 7 33 7 19 7 06 6 54 6 42 631 b 19 6 09 5 58 5 49 5 39 5 30 40 50 3 47 3 4i 3 34 3 27 3 22 3 16 3 I0 3 05 3 00 2 55 2 50 2 45 50 12 00 00 00 00 00 " 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 58 AZIMUTH OR TRUE BEARING. latitude: 13°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 13°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hoar Angle. ]>. 111. O ' / / / / / / / / / / / Ii. m. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 5 09 4 54 4 39 4 25 4 13 4 01 3 49 3 39 3 29 3 20 3 " 3 03 lO 20 10 12 9 42 9 13 13 38 8 46 8 21 758 7 35 7 15 656 6 37 6 20 6 04 20 30 15 04 14 20 12 59 12 23 11 49 11 17 1047 10 18 9 51 9 25 9 01 30 40 19 39 18 43 17 5° 17 01 16 15 15 31 14 50 14 11 13 34 12 59 12 27 " 55 40 50 23 54 22 48 21 47 20 49 19 53 19 02 18 13 17 26 16 42 16 00 15 20 14 41 50 1 OO 27 49 26 36 25 27 24 22 23 20 22 21 21 24 20 31 19 40 18 52 18 06 17 22 1 OO 10 31 21 30 04 28 49 27 37 26 29 25 26 24 24 23 25 22*29 21 36 20 44 19 55 10 20 34 33 33 12 31 53 3° 38 29 25 28 17 27 11 26 07 25 07 24 08 26 32 23 13 22 19 20 30 37 25 36 01 34 40 33 22 32 07 3° 55 29 45 28 38 27 33 25 32 24 34 30 40 39 50 38 33 37 1° 35 50 34 33 36 46 33 19 32 07 30 57 29 50 28 45 27 42 26 41 28 39* 40 50 42 14 40 49 39 26 38 04 35 29 34 16 33 04 31 54 30 48 29 42 50 2 00 44 16 42 50 41 27 40 05 38 45 37 28 36 14 35 01 33 49 32 4° 31 34 30 27 2 00 10 46 02 44 37 43 14 41 53 4° 33 39 16 38 00 36 46 35 34 34 24 33 15 32 08 10 20 47 3° 46 12 44 50 43 29 42 10 4° 53 39 37 38 22 37 1° 35 59 34 49 33 4° 20 30 48 59 47 36 46 15 44 55 43 37 42 20 41 03 39 49 38 3° 37 25 3° 15 35 °5 30 40 50 12 48 51 47 3° 46 11 44 53 43 37 42 21 41 07 39 54 38 43 37 33 36 22 40 50 51 15 49 56 48 37 47 19 46 02 44 45 43 31 42 17 41 04 39 53 38 42 37 32 50 3 OO 52 11 50 52 49 35 48 IS 47 °2 45 47 44 33 43 20 42 08 40 56 39 45 38 3° 3 00 10 52 59 51 42 50 26 49 'J 47 55 46 41 45 28 44 16 43 °3 41 43 40 43 39 33 10 20 53 40 52 25 51 10 49 5° 48 42 47 29 46 17 45 °5 43 54 42 43 41 33 40 24 20 30 54 16 53 01' 51 48 5° 35 51 08 49 22 48 10 46 59 45 47 44 37 43 27 42 18 41 08 30 40 54 45 53 32 52 20 49 57 48 46 47 35 46 25 45 16 44 06 42 57 41 48 40 50 55 10 53 59 52 48 51 37 50 26 49 16 48 06 46 57 45 48 44 4° 43 32 42 24 50 4 00 55 29 54 20 53 10 52 01 5° 5i 49 42 48 33 47 25 46 16 45 °8 44 00 42 53 4 OO 10 55 45 54 37 53 27 52 19 51 10 50 03 48 54 47 47 46 39 45 32 44 25 43 19 10 20 55 56 54 49 53 42 52 33 51 26 5° 19 49 12 48 05 4658 45 52 44 46 43 4° 20 30 56 04 54 57 53 51 52 44 51 37 5° 31 49 25 48 19 47 13 46 07 45 02 43 57 30 40 56 07 55 02 53 57 52 51 51 45 50 40 49 34 48 29 47 24 46 10 45 14 44 °9 40 50 56 08 55 03 53 58 52 54 51 49 5° 45 49 39 48 35 47 31 46 26 45 22 44 18 50 5 00 56 05 55 01 53 57 52 53 51 5° 50 46 49 42 48 38 47 35 46 30 45 27 44 23 5 00 10 55 58 54 56 53 53 52 5° 51 47 5° 44 49 4° 48 37 47 34 46 32 45 29 44 25 lO 20 '55 49 54 46 53 45 52 42 51 4i 50 38 49 35 48 33 47 31 46 29 45 26 44 24 20 30 55 3° 54 35 53 33 52 32 51 31 50 30 49 27 48 26 47 25 46 22 45 21 44 19 30 40 55 21 54 21 53 20 52 19 51 19 50 18 49 1° 48 15 47 14 46 12 45 12 44 II 40 50 55 03 54 03 53 °3 52 03 51 02 50 02 49 02 48 01 47 °i 46 01 45 °° 43 59 50 6 00 54 42 53 43 52 43 51 43 50 44 49 44 48 44 47 45 46 44 45 44 45 26 44 45 43 45 6 00 10 54 18 53 20 52 20 51 22 50 22 49 23 48 24 47 24 46 25 44 26 43 26 10 20 53 52 52 54 51 54 51 26 50 5° 49 57 48 59 48 00 47 °2 46 03 45 03 44 05 43 °6 20 30 53 22 52 24 50 28 49 30 4831 47 34 46 35 45 37 44 39 43 41 42 42 30 40 52 49 51 52 50 54 49 56 48 59 48 02 47 03 46 06 45 °8 44 1° 43 13 42 15 40 50 52 14 51 16 50.19 49 23 4825 47 28 46 31 45 34 44 37 43 39 4242 41 45 50 7 OO 51 35 5<=38 49 41 48 45 4748 46 52 45 55 44 58 44 °2 43 °5 42 10 41 13 7 OO lO 50 52 49 56 49 01 48 04 47 °8 46 11 45 15 44 19 43 24 42 27 41 32 40 36 10 20 50 08 49 I2 48 16 47 21 46 25 45 29 44 33 43 39 42 43 4i 47 4° 52 39 57 20 30 49 20 48 24 A l 2 § , 46 34 45 38 44 43 43 4» 42 53 41 58 40 04 40 09 39 14 30 40 48 27 47 33 46 38 45 43 44 48 43 53 42 59 42 04 41 10 40 17 39 23 38 29 40 50 47 33 46 37 45 43 44 49 43 54 43 °I 42 07 41 13 40 20 39.26 38 34 37 4° 50 8 00 46 33 45 38 44 45 43 51 42 57 42 04 41 11 40 18 39 26 38 32 37 41 3648 8 00 10 45 30 44 37 43 43 42 5° 41 56 41 05 40 12 39 20 38 28 37 35 36 45 35 53 10 20 44 25 43 30 42 37 41 45 40 52 40 00 39 08 38 17 37 26 36 35 35 45 34 54 20 30 43 12 42 20 41 27 40 36 39 44 38 53 38 01 37 n 36 21 35 31 34 42 33 53 30 40 41 57 41 05 40 13 39 23 38 32 37 41 36 51 30 02 35 13 34 23 33 35 32 47 40 50 40 37 39 45 38 55 38 05 37 15 36 26 35 37 34 48 34 °° 33 12 32 25 31 38 50 9 00 39 I2 38 22 37 32 36 43 35 54 35 06 34 18 33 31 32 43 31 57 31 11 30 25 9 OO 10 3 2 4 3 36 53 36 04 35 16 34 29 33 42 32 55 32 10 31 23 30 39 29 54 28 34 29 °9 10 20 36 08 35 21 34 33 33 47 33 00 32 14 31 29 3° 45 30 00 29 16 27 51 20 30 34 29 33 43 32 56 32 II 31 26 30 42 29 57 29 15 28 32 27 5° 27 09 26 28 30 40 32 44 31 59 31 15 30 3° 29 48 29 05 28 23 27 41 27 00 26 20 25 41 25 00 40 50 30 55 30 10 29 28 28 46 28 04 27 24 26 44 26 04 25 25 24 46 24 °9 23 31 SO 10 00 2 f 5 2 28 18 27 36 26 57 26 17 25 38 25 00 24 22 23 45 23 °9 22 33 21 58 10 00 10 2658 26 19 25 40 25 02 24 25 23 49 23 12 22 37 22 03 21 28 2° 55 20 22 lO 20 24 52 24 15 23 39 23 03 22 28 21 54 21 21 20 48 20 16 19 44 19 13 18 42 20 30 22 41 22 06 21 33 21 00 20 28 19 56 19 25 18 55 18 25 17 56 17 28 16 59 30 40 20 24 '9 53 19 23 18 52 18 23 17 55 17 26 16 59 16 32 16 05 15 39 15 14 40 50 18 03 17 36 17 08 16 41 16 15 15 49 15 24 14 59 14 35 14 11 13 49 13 26 50 11 00 15 38 15 13 14 49 14 26 14 02 13 40 13 18 12 56 12 35 12 15 II 55 II 35 11 00 lO 13 08 12 48, 12 27 12 07 II 47 II 29 11 10 10 52 10 34 10 16 9 59 9 43 10 20 10 35 10 18 10 01 9 44 9 3° 9 14 8 59 844 8 30 8 15 8 02 7 48 20 30 7 59 7 46 7 33 7 21 7 °9 6 57 6 45 ° 35 6 23 6 13 6 02 5 53 30 40 5 20 5 12 5 03 4 55 4 47 4 39 4 31 4 24 4 16 4 10 4 °3 3 55 40 50 2 41 2 36 2 32 2 28 2 23 2 20 2 16 2 12 2 08 2 05 2 01 1 58 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In Siorth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the. meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be takeu for the required true bearing. 59 AZIMUTH OR TRUE BEARING. LATITUDE 13°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 13°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 69° Hour Angle. li. in. o t 1 r t / / / / / / / / li. m. 00 00 00 00 00 00 00 00 00 00 00' 00 00 00 10 2 55 2 47 2 40 2 33 2 26 2 21 2 14 2 08 2 03 1 58 . ' 53 1 47 10 20 5 48 5 33 5 18 5 05 4 53 4 4° 4 28 4 16 404 3 54 3 44 3 34 20 30 8 38 8 16 7 55 7 35 7 16 6 57 6 39 6 22 . 6 06 5 5° 5 34 5 20 30 40 11 24 10 56 10 28 10 02 9 37 9 13 8 49 8 27 8 05 744 7 24 7 °4 40 50 14 05 13 30 12 57 12 24 11 54 11 24 10 55 10 28 10 01 9 35 9 11 847 SO 1 OO 16 40 15 59 15 20 H43 14 07 13 31 12 58 12 25 11 54 11 25 1° 55 10 27 1 OO 10 19 07 18 21 17 37 1655 16 14 15 35 14 57 14 20 13 44 13 1° 12 36 12 04 10 20 21 26 20 37 19 48 19 02 18 17 17 33 16 50 16 09 15 3° 14 52 14 15 1548 1338 20 30 2338 22 45 21 53 21 02 20 13 19 25 18 40 17 55 17 12 16 30 15 09 30 40 25 42 24 44 23 49 22 55 22 03 21 13 20 23 19 35 18 49 18 03 17 19 16 36 40 60- 27 37 26 37 25 39 24 43 23 47 22 54 22 02 21 11 20 21 19 33 18 45 17 59 50 2 00 29 24 28 22 27 21 26 23 25 25 24 28 23 34 22 41 21 48 20 57 20 07 19 18 2 00 io 31 03 29 59 28 57 27 55 2656 25 58 25 01 24 06 23 11 22 18 21 25 20 34 10 20 3 2 34 31 29 30 25 29 23 28 21 27 21 26 23 25 25 24 28 23 33 22 38 21 45 20 30 33 58 32 52 31 46 30 43 29 40 28 39 27 38 26 39 25 40 24 43 23 47 22 52 30 40 35 14 34 08 33 02 31 57 30 53 29 50 28 49 27 48 26 48 25 5° 24 52 23 55 40 SO 36 24 35 16 34 09 33 04 31 59 30 56 29 54 28 52 27 51 26 51 25 52 24 53 50 3 00 37 27 38 24 36 20 35 13 34 06 33 °i 31 5° 30 53 29 5i 28 49 27 48 26 47 25 48 3 00 IO 37 16 36 09 35 °3 33 57 32 52 31 48 3° 45 29 42 28 40 27 39 26 38 IO 20 39 1° 38 08 37 00 35 53 34 48 33 43 32 38 31 34 30 31 29 29 28 27 27 25 20 30 40 01 38 53 37 46 36 39 35 33 34 28 33 23 32 19 31 14 30 12 29 10 28 07 30 40 40 41 39 33 38 27 37 20 36 13 35 08 34 °3 32 59 31 55 30 51 29 48 28 46 40 50 41 15 40 08 39 02 37 56 36 49 35 44 34 39 33 34 32 30 31 26 3° 23 29 21 50 4 OO 41 46 40 39 39 33 3827 37 21 36 16 35 11 34 07 33 °2 31 58 3° 54 29 51 4 00 10 42 12 41 06 40 00 38 54 37 48 36 43 35 38 34 33 34 58 33 29 32 25 31 22 30 18 10 20 42 33 41 28 40 23 39 17 38 II 37 06 36 01 33 53 32 49 31 45 30 42 20 30 42 50 4i 45 40 40 39 35 38 3° 37 26 36 22 35 17 34 13 33 1° 32 06 31 °3 SO 40 43 04 41 59 4° 54 39 51 38 46 37 42 3638 35 34 34 30 33 26 32 23 31 19 40 50 43 14 42 10 41 °5 40 02 38 57 37 54 36 5° 35 47 34 43 33 39 32 35 31 32 SO 5 00 43 20 42 16 41 13 40 09 39 °° 3801 3658 35 55 34 52 33 49 32 4° 31 43 5 OO 10 43 22 42 20 41 16 4° 13 39 10 38 07 37 04 36 02 34 59 33 5° 32 53 31 5° 10 20 43 21 42 19 41 16 40 14 39 'II 3809 37 °7 36 04 35 °l 33 58 32 57 31 54 20 30 43 17 42 15 41 13 40 11 39 °8 38 06 37 05 36 03 35 01 33 59 32 57 3i 55 30 40 43 09 42 58 42 09 41 07 40 05 39 °3 38 02 37 01 35 59 34 58 33 5° 32 54 31 53 40 50 41 58 40 57 39 57 38 55 37 54 36 54 35 53 34 52 33 5° 32 49 3148 50 6 00 42 45 41 45 41 28 40 44 39 44 38 43 . 37 43 36 43 35 42 34 41 33 4i 32 40 31 39 6 OO 10 42 28 40 29 39 28 38 29 37 28 36 29 35 29 34 29 33 30 32 29 31 28 IO 20 42 07 41 68 40 09 39 10 38 11 37 12 36 13 35 13 34 14 33 15 32 15 31 1° 20 30 41 44 40 46 39 47 38 49 37 50 3 5 5 5 35 53 34 54 33 5° 32 57 31 58 31 00 30 40 41 18 40 20 39 23 38 25 37 27 36 28 35 30 34 33 33 35 32 37 31 3? 30 40 40 50 40 48 39 52 38 54 37 57 36 59 36 02 35 °5 34 08 33 1° 32 14 31 16 30 19 50 7 00 40 15 39 19 38 23 37 27 36 30 35 33 34 37 33 41 32 44 3148 3° 51 29 54 7 OO 10 39 4i 38 45 37 49 36 54 35 57 35 02 34 06 33 1° 32 14 31 19 30 22 29 27 10 20 39 °2 38 07 37 12 36 17 35 22 34 27 33 32 32 37 31 42 3° 47 29 52 28 57 20 30 38 20 37 26 36 32 35 38 34 43 33 49 32 5° 32 02 31 °7 30 13 29 19 28 25 30 40 37 35 36 42 35 49 34.55 34 02 33 °8 32 15 31 22 30 29 29 36 2843 27 5° 40 50 3648 35 55 35 02 34 10 33 18 32 25 31 33 3° 4i 29 49 28 56 28 05 27 13 50 8 OO 35 57 35 05 34 13 33 21 32 30 31 38 30 47 29 56 29 °5 28 14 27 23 26 32 8 OO IO 35 02 34 12 33 21 32 30 31 39 3° 49 29 59 29 09 28' 19 27 29 26 39 25 5° IO 20 34 04 33 14 32 25 31 35 30 45 29 57 29 08 28 19 27 3° 26 42 25 53 25 05 20 30 33 03 32 15 31 26 30 38 29 49 29 02 28 14 27 26 26 39 25 51 25 04 24 17 30 40 31 58 31 11 30 24 29 37 28 49 28 03 27 16 26 30 25 44 24 59 24 12 23 26 40 50 30 51 30 05 29 19 28 33 27 47 27 02 26 17 25 32 24 48 24 03 23 19 22 34 50 •» 00 29 40 28 55 28 10 27 26 26 41 25 58 25 14 24 31 23 48 23 °4 22 22 21 39 9 00 IO 28 25 27 42 26 59 20 16 25 33 24 51 24 °9 23 28 22 45 22 04 21 23 20 42 10 20 27 08 26 26 25 44 25 °3 24 22 23 41 23 00 22 21 21 41 21 01 20 21 19 43 20 30 25 47 25 06 24 26 23 47 23 07 22 29 21 50 21 12 20 34 19 56 19 18 18 41 30 40 24 21 23 44 23 05 22 28 21 50 21 13 20 36 20 00 19 24 18 48 18 12 17 38 40 50 22 53 22 18 21 41 21 06 20 30 19 55 19 20 18 46 18 12 17 38 17 05 16 31 50 10 00 21 23 20 49 20 14 19 41 19 08 18 35 18 02 17 30 1658 16 26 15 54 15 24 IO OO 10 19 48 19 17 18 45 18 13 17 42 17 11 16 41 16 11 15 41 15 12 14 42 14 14 IO 20 18 12 17 42 17 12 16 43 16 14 15 46 15 18 14 51 14 23 13 5° 13 29 13 02 20 30 16 32 16 04 15 37 15 " 1444 14 19 13 52 13 27 13 °3 12 38 12 14 11 49 30 40 14 49 14 24 14 00 13 36 13 11 12 48 12 26 12 03 11 40 11 18 10 56 1° 34 40 50 13 04 12 41 12 20 II 58 11 38 11 16 10 56 1° 37 10 16 9 5° 9 37 9 18 50 11 OO 11 16 10 57 10 38 10 19 10 01 9 44 9 26 9 °9 851 8 34 8 18 8 01 11 00 10 9 27 9 10 8 55 8 40 8 24 8 09 754 7 39 7 25 7 10 656 6 42 10 20 7 35 7 23 7 09 6 57 ° 45 6 32 6 21 6 09 5 57 5 46 5 34 5 23 20 30 5 42 5 33 5 23 5 14 5 °5 4 55 4 46 4 38 4 29 4 20 4 11 4 03 30 40 3 49 3 43 3 36 3 29 3 24 3 17 3 II 3 °5 2 59 2 53 2 47 2 42 40 50 1 55 I 52 1 48- 1 45 1 42 1 38 1 35 , 1 33' 1 30 1 27 1 24 1 21 50 12 00 00 00 00 00 c 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 60 AZIMUTH OR TRUE BEARING. LATITUDE 13°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 13° Hour Angle. 60° 62° 63° 64° 67° 68° 69° 70° Hour Angle. h. O lO 11 12 ni. OO lO 30 30 40 50 00 lO 20 30 40 50 00 10 30 30 40 50 OO 10 30 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO O 00 I 42 3 25 5 °° 6 45 8 23 9 59 11 32 13 02 H 3° 15 54 17 14 18 31 19 44 20 53 21 58 22 59 23 57 24 5° 25 39 26 24 27 06 27 43 28 18 29 15 29 39 29 59 ^0 16 30 29 30 39 3° 47 3° 52 3° 52 3° SI 30 46 30 39 30 29 30 16 30 00 29 42 29 21 28 58 28 .31 28 02 27 31 26 57 26 21 25 41 25 00 24 16 23 30 22 4i 21 5° 20 57 20 02 19 04 18 04 17 02 15 58 14 53 13 45 12 35 11 25 10 12 8 59 7 44 6 28 5 12 3 54 2 37 I 18 o 00 00 1 38 3 15 4 52 6 27 8 00 9 33 11 02 12 28 13 52 15 12 16 30 17 44 18 55 20 02 21 05 22 04 23 00 23 51 24 4° 25 24 26 05 26 42 27 16 27 4° 28 12 28 36 28 55 29 12 29 26 29 37 29 44 29 49 29 5° 29 49 29 45 29 38 29 29 29 15 29 01 28 44 28 23 28 00 27 34 27 06 26 36 26 03 25 28 24 50 24 10 23 28 22 43 21 56 21 06 20 14 19 21 18 24 17 27 16 27 15 25 14 22 13 ID 12 09 II 01 9 5i 8 40 7 28 6 14 5 °l 3 46 2 31 I 16 00 1 33 3 °7 4 38 6 09 7 39 9 06 10 32 11 55 13 '5 14 33 15 47 1° 59 18 07 19 II 20 12 21 10 22 04 22 55 23 42 24 25 25 °4 25 41 26 14 26 44 27 10 27 33 27 53 28 10 28 24 28 35 28 42 28 47 28 48 28 47 28 44 28 37 28 28 28 16 28 03 27 45 27 26 27 °4 26 39 26 12 25 43 25 11 24 37 24 01 23 22 22 40 21 57 21 11 20 23 19 33 18 41 17 47 16 50 15 53 14 53 13 52 12 48 II 43 10 38 9 3° X 21 7 12 6 01 4 5° 3 38 2 26 I 13 o 00 00 1 29 2 57 4 25 5 52 7 18 8 40 10 03 11 22 12 39 13 54 15 06 16 14 17 19 18 22 19 21 20 17 21 09 21 58 22 44 23 26 24 °5 24 41 25 13 25 42 26 08 26 30 26 50 27 07 27 21 27 31 27 39 27 44 27 46 27 46 27 42 27 37 27 28 27 17 27 °4 26 47 26 29 26 07 25 43 25 17 24 49 24 18 23 45 23 1° 22 32 21 52 21 10 20 26 19 39 18 52 18 01 17 08 16 14 15 18 14 21 13 21 12 20 II 18 10 13 9 09 8 03 656 5 48 4 4° 3 3° 00 1 24 2 49 4 13 5 35 6 57 8 16 9 34 10 50 12 04 13 15 14 24 15 3° 16 33 17 33 18 29 19 24 20 14 21 03 21 47 22 27 23 °5 23 4° 24 12 24 41 25 °5 25 28 25 48 26 04 26 18 26 29 2636 26 42 26 44 26 44 26 41 26 36 26 28 26 17 26 04 25 48 25 31 25 1° 24 47 24 22 23 55 23 25 22 53 22 17 21 42 21 04 20 23 19 4i 185° 18 09 17 20 16 31 15 38 14 44 13 48 12 51 11 52 10 52 9 51 849 7 45 6 39 5 34 4 29 3 22 2 14 I 07 o 00 00 1 20 2 41 4 00 5 19 6 36 7 52 9 07 10 20 11 30 12 39 13 44 14 47 15 48 16 45 17 40 18 32 19 21 20 08 20 51 21 30 22 07 22 40 23 12 23 4° 24 05 24 27 24 46 25 02 25 16 25 26 25 34 25 39 25 42 25 42 25 39 25 35 25 27 25 17 25 °5 24 49 24 33 24 13 23 5i 23 27 23 °l 22 32 22 01 20 53 20 16 19 37 1856 18 13 17 27 16 41 15 52 15 02 14 °9 13 16 11 25 10 26 9 28 8 27 7 26 6 24 4 16 3 14 2 09 I 04 o 00 00 1 17 2 32 3 48 5 °2 6 16 7 29 8 39 9 49 10 56 12 02 13 °4 14 °5 15 °3 15 58 16 51 17 42 18 28 19 13 19 54 2° 33 21 09 21 42 22 12 22 39 23 03 23 24 23 44 24 00 24 13 24 24 24 32 24 38 24 4° 24 4° 24 38 24 34 24 26 24 17 24 06 23 51 23 34 23 16 22 55 22 32 22 07 21 39 21 10 20 37 20 04 19 28 18 5° 18 11 17 29 16 46 16 01 15 14 14 26 13 35 12 44 11 5i 1° 57 10 02 9 °4 8 07 7 08 6 09 5 °9 4 06 3 06 2 04 00 1 13 2 25 3 37 4 47 5 57 7 06 8 14 9 19 10 24 11 26 12 25 13 23 14 19 15 12 16 02 16 51 17 37 18 19 18 59 19 36 20 II 2° 43 21 12 21 38 22 02 22 23 22 42 22 58 23 II 23 22 23 3° 23 35 23 38 23 39 23 36 23 33 23 26, 23 17 23 07 22 53 22 37 22 19 21 59 21 36 21 12 20 46 20 17 19 47 19 14 18 40 18 04 17 26 16 46 16 05 15 21 14 36 13 5° 13 °l 12 12 I] 22 10 29 9 36 8 42 7 4° 6 50 5 52 4 55 3 56 258 I 59 o 59 o 60 00 1 09 2 17 3 25 4 32 5 38 6 44 7 47 8 5° 9 51 10 50 11 48 12 43 13 '35 14 26 15 15 16 01 16 44 17 26 18 05 18 40 19 14 19 44 20 13 20 38 21 02 21 22 21 40 21 56 22 09 22 19 22 27 22 32 22 36 22 37 22 35 22 31 22 25 22 17 22 07 21 54 21 39 21 22 21 02 20 41 20 18 19 53 19 25 18 56 18 25 17 52 17 18 16 41 16 02 15 23 14 41 13 58 13 14 12 28 II 40 10 51 10 02 9 II 8 19 7 25 6 32 5 38 4 42 3 46 2 50 I 54 o 57 o 00 00 1 °5 2 10 3 14 4 17 5 20 7 23 8 22 9 20 10 16 11 10 12 03 12 53 13 42 14 28 15 12 15 54 1° 34 17 II 17 44 18 18 18 47 19 14 19 39 20 02 20 21 20 39 2° 54 21 06 21 17 21 25 21 31 21 34 21 35 21 34 21 3° 21 25 21 17 21 07 20 54 20 40 20 24 20 06 19 46 19 24 19 00 18 33 18 06 17 36 17 °4 16 31 15 56 15 20 14 41 14 02 13 21 12 38 II 54 II 08 10 22 9 35 8 46 7 56 7 °5 6 14 5 22 4 29 3 36 2 42 1 49 54 00 00 1 01 2 02 3 °2 4 °3 5 °2 6 00 658 7 54 8 48 9 42 1° 34 11 24 12 II 12 58 13 42 14 23 15 °3 15 41 16 17 16 50 17 21 17 49 18 16 18 40 19 02 19 20 19 38 19 52 20 05 20 15 20 22 20 28 20 31 20 33 20 32 20 29 20 23 20 16 20 07 19 55 19 42 19 27 19 °9 18 51 18 29 18 07 17 42 17 14 16 46 16 16 15 44 15 II 14 36 14 00 13 22 12 43 12 02 11 20 10 37 9 53 9 07 8 21 7 34 6 45 5 56 5 06 4 17 3 26 2 34 I 43 o 51 o 00 li. O 10 11 12 111. 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 SO OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 61 AZIMUTH OR TRUE BEARING. LATITUDE 14°. DECUNATION- ■SAME NAME AS-lvATITUDE. LATITUDE 14°. Hour Ad gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. ta. in. / / / 0- 1 / 1 1 ' / / ' / Ii. in. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 12 54 11 42 10 40 948 9 02 8 22 7 48 7 17 6 49 6 25 6 02 5 41 10 20 24 32 22 24 20 34 i8 v 59 17 36 16 22 15 16 14 18 13 26 12 37 11 54 II 15 20 30 34 11 31 32 29 14 27 09 25 19 23 40 22 10 20 49 19 36 18 30 17 28 16 32 30 40 4i 53 39 °2 36 28 . 34 08 32 01 30 06 28 20 26 44 25 16 23 54 22 39 21 29 40 50 47 52 45 01 42 24 39 58 37 44 35 40 33 45 31 58 30 19 28 47 27 22 26 01 50 1 OO 52 32 49 47 47 12 44 48 42 32 40 24 3824 36 32 34 47 33 °8 31 35 30 08 1 00 10 56 12 53 36 51 07 48 46 46 31 44 24 42 23 40 30 38 41 3658 35 22 33 5° 10 20 59 06 56 39 54 17 52 01 49 50 47 46 45 46 43 53 42 °4 40 20 3841 37 °7 20 30 61 25 59 06 56 52 54 42 52 38 50 37 48 40 46 48 45 °° 43 16 41 36 40 01 30 40 63 17 61 07 59 °o 5656 54 56 53 °o 51 06 49 17 47 3i 45 49 44 °9 46 23 42 35 40 ' 50 64 47 62 45 60 44 58 47 56 52 55 00 53 11 51 25 49 4i 48 01 44 49 50 2 00 66 01 64 05 62 11 60 19 58 3° 56 43 54 58 53 15 51 34 49 56 48 20 46 47 2 00 io 67 01 65 11 63 23 61 37 59 53 58 09 56 27 54 48 53 10 5i 35 50 01 48 3° 10 20 67 49 66 05 64 23 62 42 61 01 59 22 57 44 56 09 54 34 53 °i 51 3° 50 01 20 30 68 29 66 49 65 11 63 35 61 59 60 24 58 50 57 17 55 45 54 15 52 46 51 19 30 40 69 00 67 25 65 52 64 19 62-47 61 15 59 44 58 15 56 46 55 19 53 52 52 27 40 SO 69 25 67 55 66 25 64 56 6328 61 59 60 32 59 °5 57 39 56 14 54 5° 53 26 50 3 00 69 44 68 18 6652 65 26 64 00 62 35 61 11 59 47 58 24 57 °i 55 39 54 18 3 00 IO 69 59 6835 67 13 65 50 64 27 63 °5 61 43 60 21 59 °° 57 4° 56 20 55 °i IO 20 70 09 68 49 67 28 66 08 64 49 63 28 62 09 60 50 59 32 58 13 56 55 55 38 20 30 70 16 68 58 6 7 39 66 22 65 05 63 47 62 30 61 14 59 57 58 40 57 24 56 09 30 40 7° 19 69 03 67 47 66 32 65 16 64 01 62 47 61 32 60 17 59 °3 57 48 56 34 40 50 70 18 69 04 67 51 6638 65 25 64 11 62 59 61 46 60 32 59 20 58 °7 56 55 50 4 OO 70 15 69 04 67 52 66 41 65 30 64 18 63 07 61 56 60 44 59 33 58 21 57 11 4 OO 10 70 09 68.59 67 50 66 40 65 30 64 20 63 10 62 01 60 51 59 42 5832 57 23 10 20 70 00 68 52 67 44 66 36 65 28 64 10 63 12 62 03 60 55 59 47 58 39 57 31 20 30 69 50 68 43 67 36 66 30 65 23 64 17 63 09 62 02 60 56 59 49 5841 57 35 30 40 69 37 S 31 67 26 66 20 65 15 64 09 63 04 62 56 61 59 60 52 59 47 5841 57 35 40 50 69 22 68 17 67 13 66 09 65 05 64 00 61 51 60 46 59 42 58 37 57 32 50 5 00 69 04 68 01 6658 65 55 64 52 63 48 62 45 61 41 60 38 59 34 58 30 57 26 5 OO 10 68 45 67 43 66 41 6538 64 37 ' 63 34 62 31 61 29 60 26 59 23 58 20 57 17 10 20 68 24 67 22 66 21 65 20 64 18 63 16 62 14 61 13 60 11 59 1° 58 °8 57 °6 20 30 68 00 67 00 65 59 64 58 6358 62 57 61 56 6° 55 59 54 58 53 57 51 56 5° 30 40 67 35 66 o§ 65 35 64 35 63 36 62 35 61 35 6° 35 59 34 58 33 57 33 56 32 40 50 67 08 65 09 64 09 63 10 62 II 61 II 60 12 59 11 58 12 57 12 56 12 50 6 OO 66 38 65 40 64 40 63 41 62 43 61 44 60 45 59 46 58 46 57 47 5648 55 49 6 00 10 66 06 65 08 64 09 63 11 62 13 61 14 60 15 59 17 58 19 57 20 56 21 55 23 10 20 65 32 64 35 63 37 62 39 61 41 60 42 59 44 58 46 57 48 56 5° 55 52 54 53 20 30 6 4°I 63 58 63 01 62 03 61 06 60 08 59 I" 58 12 57 14 56 17 55 19 54 21 30 40 64 18 63 20 62 23 61 26 60 28 59 3° 58 33 57 36 5638 55 41 54 44 53 47 40 50 63 37 62 39 61 42 60 46 59 48 5851 57 54 56 57 56 00 55 °3 5405 53 °9 50 7 OO 62 53 61 56 60 58 60 02 59 °5 58 08 57 12 56 15 55 18 54 21 53 25 52 29 7 00 IO 62 06 61 09 60 12 59 15 58 19 57 23 56 26 55 30 54 33 53 37 52 4T 51 45 10 20 61 17 60 20 59 23 58 27 57 3i 56 33 55 37 54 42 53 45 52 49 5i 53 5° 57 20 30 60 25 59 28 58 31 57 34 56 38 55 42 54 45 53 5° 52 53 51 58 51 °3 50 08 30 40 59 29 5832 57 35 56 39 55 43 54 46 53,5° 52 55 5i 59 5i °4 50 09 49 14 40 50 58 30 57 33 56 35 55 39 54 43 53 47 52 52 51 56 51 °i 5° °6 49 11 48 16 50 8 00 57-26 56 29 55 33 54 37 53 40 52 44 51 49 5° 53 49 59 49 °4 48 09 47 15 8 00 10 56 19 55 22 54 25 53 29 52 33 5i 38 5° 43 49 48 48 52 47 59 47 °5 46 ir IO 20 55 08 54 11 53 14 52 18 51 23 50 27 49 32 48 37 47 43 46 49 45 56 45 °3 20 30 53 52 52 55 51 58 51 02 50 07 49 12 48 17 47 22 46 29 45 35 44 43 43 5° 30 40 52 31 51 34 50 37 49 41 48 46 47 51 46 57 46 03 45 1° 44 17 43 24 42 33 40 50 5i °5 50 07 49 11 48 15 47 21 46 26 45 32 44 39 43 46 42 53 42 02 41 11 50 9 00 49 33 48 36 47 40 46 44 45 5° 44 56 44 °3 43 1° 42 17 41 26 4° 35 39 45 9 00 10 47 54 4658 " 46 01 45 08 44 14 43 20 42 27 41 35 4° 43 39 53 39 °3 38 14 10 20 46 10 45 14 44 18 43 24 42 31 41 38 40 46 39 55 39 °5 38 15 37 26 3638 20 30 44 17 43 22 42 27 41 34 40 42 39 5° 38 59 38 09 37 20 36 31 35 43 34 57 30 40 42 18 41 24 40 30 39 38 38 47 37 56 37 °6 36 18 35 29 34 42 33 56 33 1° 40 50 40 13 39 18 38 26 37 34 36 44 35 55 35 °7 34 2° 33 33 32 47 32 03 31 19 50 10 00 37 56 37 04 36 13 35 24 34 35 33 47 33 01 32 15 31 31 30 46 30 04 29 22 10 00 10 35 31 34 41 33 52 33 °4 32 18 31 32 3° 48 30 04 29 21 28 40 27 59 27 19 IO 20 32 59 32 10 31 23 30 38 29 54 29 10 28 29 27 47 27 07 26 27 25 49 25 11 20 ?2 30 17 29 31 28 47 28 03 27 22 26 41 26 01 25 24 24 46 24 09 23 33 22 58 30 40 27 24 26 43 26 01 25 22 24 43 24 05 23 28 22 53 22 18 21 45 21 12 20 40 40 50 24 24 23 45 23 08 22 32 21 57 21 22 20 50 20 17 19 46 19 16 1847 18 17 50 11 00 21 14 20 40 20 07 19 34 19 03 18 33 18 03 17 35 17 08 16 42 16 15 15 49 11 00 28 17 57 17 27 1658 16 30 16 04 i 15 37 15 12 14 48 14 24 14 01 13 39 13 19 10 14 31 14 06 13 43 13 21 12 58 12 37 12 16 II 57 11 37 11 19 11 01 10 43 20 30 10 59 10 41 10 22 10 05 9 48 9 31 9 16 8 59 8 46 831 8 18 8 05 30 40 7 23 7 10 6 57 6 46 6 34 6 23 6 12 6 02 5 52 5 43 5 33 5 25 40 50 3 42 3 35 3 3° 3 24 3 18 3 12 3 °7 3 02 2 56 2 51 2 47 2 43 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian,-the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 62 AZIMUTH OR TRUE BEARING. LATITUDE 14°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 14°. Hoar An gle. 36° 37° 38° 39° 40° 41° 42° 43° 440 45° 46° 47° Hour Angle. b. IU. o / / / / / / / r / / / / h. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 ' 5 23 5 05 4 49 4 35 4 21 4 08 3 57 3 46 3 35 3 26 316 3 °7 IO 20 io 38 10 05 9 34 9 °5 8 39 12 48 8 14 7 50 7 29 7 0? 6 49 6 31 6 14 20 30 15 4i 14 53 14 08 13 27 12 12 11 38' 11 06 10 36 10 08 9 4i 9 16 30 40 20 25- 19 24 18 28 17 36 16 47 16 00 15 17 14 36 13 57 13 20 12 46 12 13 40 50 24 47 23 37 22 31 21 30 20 32 19 37 18 45 17 57 17 10 16 26 15 43 15 °4 SO 1 OO 28 46 27 29 26 16 25 07 24 01 S3 22 01 21 05 20 12 19 21 18 33 17 47 1 OO ' lO 32 23 31 00 29 41 28 28 27 16 25 03 24 03 23 04 22 07 21 13 20 22 10 20 35 37 34 10 3248 31 30 30 14 29 02 27 53 26 47 25 44 24 43 23 45 22 49 20 30 38 29 37 00 35 36 38 07 34 15 32 56 31 41 30 29 29 19 28 12 27 08 26 05 25 °° 30 40 41 02 39 32 36 44 35 23 34 06 32 52 31 39 30 29 29 22 28 17 27 14 » 40 50 43 16 4i 47 40 21 38 57 37 36 36 17 35 01 33 46 32 35 31 25 30 18 29 12 50 2 OO 45 16 43 47 42 21 40 57 39 35 38 16 36 59 35 43 34 30 33 19 32 10 31 °3 2 00 10 47 02 45 33 44 °7 42 44 41 22 40 02 38 44 37 28 36 15 35 03 33 52 32 43 10 20 48 32 47 °° 45 41 44 19 42 57 41 38 40 20 39 °4 37 49 36 37 35 25 34 15 20 30 49 53 48 28 47 05 45 43 44 23 43 04 41 46 40 30 39 15 38 02 36 5° 35 4° 30 40 51 03 49 4o 48 18 46 57 45 37 44 20 43 03 4l"47 40 32 39 19 38 07 36 56 40 50 52 04 50 42 49 22 48 02 46.44 45 27 44 " 42 55 41 41 40 28 39 16 38 05 50 3 00 52 56 51 37 50 18 49 °° 47 43 46 26 45 11 43 57 42 43 4i 30 40 18 39 07 3 00 10 53 42 52 24 51 07 49 50 48 34 47 19 46 04 44 51 43 3» 42 26 41 13 40 03 10 20 54 21 53 04 51 49 5° 33 49 19 48 05 46 51 45 38 44 25 43 14 42 03 4° 53 20 30 54 54 53 38 52 24 51 11 49 57 48 44 47 31 48 06 46 19 45 08 43 57 42 47 41 36 30 40 55 21 54 07 52 55 51 42 50 30 49 18 46 55 45 44 44 34 43 25 42 15 40 50 55 43 54 31 53 19 52 08 50 57 49 46 4836 47 25 46 15 45 06 43 57 42 48 50 4 00 5600 54 50 53 40 52 29 51 20 50 09 49 00 47 51 46 42 45 34 44 25 43 17 4 00 10 56 13 55 04 53 55 52 46 51 38 50 28 49 20 48 12 47 t>3 45 56 44 49 43 41 IO 20 56 23 55 15 54 07 52 59 51 5i 50 43 49 36 48 28 • 47 21 46 14 45 °7 44 °l 20 30 56 28 55 20 54 14 53 07 52 00 50 54 49 47 48 40 47 34 46 28 45 22 44 16 30 40 56 29 55 23 54 18 53 12 52 06 51 00 49 55 48 48 47 43 46 38 45 32 44 27 40 50 56 28 55 23 54 18 53 14 52 08 51 °3 49 58 48 54 47 49 46 45 45 39 44 35 50 5 00 56 23 55 '8 54 14 53 11 52 07 51 03 49 5? 48 55 47 51 46 47 45 42 44 38 5 00 10 56 14 55 12 54 08 53 05 52 02 50 59 49 56 4852 47 49 46 46 45 42 44 39 IO 20 56 03 55 01 53 59 52 56 51 54 50 51 49 49 48 47 47 44 46 42 45 39 44 36 20 SO 55 49 54 48 53 46 52 45 51 42 50 41 49 39 48 37 47 35 46 34 45 32 44 30 30 40 55 32 54 31 53 30 52 30 51 29 50 28 49 26 4825 47 24 46 23 45 22 44 20 40 50 55 12 54 12 53 12 52 12 51 " 50 10 49 10 48 09 47 09 46 09 45 08 44 °8 50 6 00 54 49 53 50 52 51 51 50 50 51 49 51 48 52 47 52 46 52 45 52 44 52 43 51 6 OO 10 54 23 53 25 52 26 51 27 50 28 49 29 48 29 47 30 46 31 45 3i 44 32 43 32 10 20 53 55 52 56 51 58 51 00 50 01 49 02 48 04 H °§ 46 07 45 08 44 09 43 1° 20 30 53 23 52 25 5t 28 50 31 49 32 4833 47 36 46 38 45 4° 44 42 43 43 42 46 30 40 52 49 51 52 50 55 49 58 49 00 48 03 47 °5 46 07 45 10 44 13 43 15 42 17 40 50 52 12 51 15 50 18 49 22 48 25 47 27 46 31 45 34 44 37 43 40 42 43 41 46 50 7 00 51 3i 50 35 till 4843 47 46 46 50 45 53 44 57 44 00 43 °5 42 09 41 12 7 00 10 50 49 49 52 48 01 47 05 46 09 45 13 44 17 43 22 42 27 41 30 4° 35 10 20 50 02 49 06 48 11 47 16 46 21 45 24 44 29 43 34 42 40 41 44 40 49 39 56 20 30 49 12 48 16 47 22 46 27 45 32 44 37 43 43 42 48 41 54 41 00 40 06 39 12 30 40 48 19 47 24 46 30 45 35 44 41 43 47 42 53 41 59 41 05 40 12 3 2 'I 38 24 40 50 47 22 46 28 45 34 44 40 43 46 42 52 41 59 41 06 40 13 39 21 38 28 37 35 SO 8 00 46 21 45 28 44 35 43 41 42 48 41 55 41 03 40 10 39 17 38 26 37 34 36 43 8 00 10 45 18 44 25 43 32 42 40 41 47 40 55 40 03 3 2 "* 38 20 37 28 36 37 35 46 10 20 44 10 43 16 42 25 4i 32 40 41 39 50 38 59 38 08 37 18 36 27 35 37 34 47 20 30 42 57 42 05 41 14 40 23 39 32 3841 37 5i 37 01 36 12 35 22 34 33 33 44 30 40 41 41 40 49 39 59 39 09 38 19 37 ?9 36 40 35 51 35 02 34 14 33 25 32 39 40 50 40 20 39 30 38 40 37 5i 37 02 36 13 35 24 34 36 33 49 33 02 32 16 31 29 50 » OO 38 55 3805 37 17 3628 35 40 34 53 34 05 33 18 32 33 31 47 31 °i 30 16 » 00 10 37 24 3636 35 4? 35 02 34 15 33 28 32 42 31 57 31 12 30 27 29 44 29 00 IO 20 35 50 35 03 34 16 33 30 32 45 32 00 31 15 3° 32 29 48 29 05 28 23 27 41 20 30 34 10 33 25 32 4° 31 54 31 11 30 27 29 44 29 02 28 20 27 39 26 58 26 17 30 40 32 25 31 41 3058 3° 14 29 32 28 50 28 09 27 28 26 48 26 09 25 29 24 5° 40 50 30 35 29 53 29 11 28 30 27 49 27 °9 26 30 25 51 25 12 24 35 23 58 23 21 50 10 00 28 40 28 00 27 20 26 41 26 02 25 24 24 47 24 10 23 34 22 58 22 23 21.48 10 00 10 26 40 26 01 25 24 24 47 24 10 23 35 23 00 22 25 21 51 21 17 20 44 20 II IO 20 24 35 23 59 23 23 22 49 22 15 21 42 21 08 20 36 20 05 1933 19 03 18 32 20 30 22 24 21 51 21 18 20 46 20 14 19 44 19 14 18 44 18 15 17 46 17 19 16 51 30 40 20 08 19 38 1? 09 18 40 18 11 17 43 17 15 16 48 16 22 15 56 15 30 15 °5 40 50 17 49 17 21 16 55 16 29 16 03 15 38 15 14 1449 14 27 14 04 13 41 12 19 50 11 00 15 25 15 0I 14 37 14 15 13 53 13 31' 13 °9 12 48 12 28 12 08 11 48 11 29 11 00 lO 12 57 12 37 12 17 11 59 11 39 11 20 11 02 1045 10 27 10 10 9 53 9 37 10 20 10 26 10 10 9 53 9 37 9 22 9 07 8 53 8 38 8 24 8 ji 7 57 7 44 20 30 7 52 7 39 5 08 7 27 7 16 7 03 652 6 41 6 30 6 19 6 10 5 59 5 49 30 40 5 '§ 4 59 4 51 4 43 4 35" 4 28 4 21 4 14 4 °7 4 00 3 54 40 50 2 38 2 34 2 30 2 26 2 22 2 18 2 14 2 11 2 07 2 04 2 00 1 57 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. when the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 63 AZIMUTH OR TRUE BEARING. LATITUDE 14°. DECIJNATION- •SAME NAME AS— LATITUDE. LATITUDE 14°. Hour Angle. 48° 48° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. m. o / / / / r / / / / / / / Ii. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 3 oo 2 51 2 44 5 26 2 37 2 30 2 23 2 17 2 11 2 05 2 00 1 54 1 50 10 20 5 57 8 29 5 12 4 59 4 45 4 33 4 21 4 10 3 58 3 48 3 37 20 30 852 8 07 7 45 7 25 7 06 6 48 6 30 613 5 56 5 40 5 25 30 40 11 41 II 11 10 43 10 15 9 49 9 24 8 59 83° 8 14 7 52 7 32 7 12 40 50 14 25 13 49 13 14 12 41 12 09 11 38 11 08 10 40 10 12 9 45 9 20 8 55 50 1 00 17 03 16 20 15 40 15 01 14 24 13 48 13 13 12 40 12 08 11 36 11 06 10 37 1 00 10 19 33 18 46 18 00 17 16 16 34 15 53 15 14 14 3° 16 27 13 59 13 23 12 49 12 15 10 20 21 55 21 03 20 12 19 25 18 38 17 52 17 09 15 46 15 06 18 45 14 28 13 5i 20 30 24 OS 23 13 22 19 21 26 20 36 19 46 18 59 18 13 17 29 16 04 15 23 30 40 26 13 25 14 24 16 23 20 22 27 21 35 20 44 19 55 19 08 18 21 17 35 16 52 40 50 28 09 27 07 26 07 25 °9 24 13 23 17 22 23 21 31 20 40 19 50 19 02 18 15 SO 2 00 29 57 2853 27 50 26 50 25 5i 24 53 23 56 23 02 22 09 21 16 20 26 19 36 2 OO 10 31 36 3° 31 29 26 28 23, 27 23 26 23 25 24 24 27 23 32 22 37 21 43 20 51 10 20 33 07 32 00 3° 54 29 50 28 47 27 45 2645 25 46 24 49 23 52 22 57 22 02 20 30 34 30 33 23 32 15 31 10 30 06 29 °3 28 02 27 01 26 02 25 03 24 06 23 TO 30 40 35 47 34 38 33 30 32 24 31 20 30 15 29 12 28 10 27 10 26 09 25 10 24 13 40 50 36 55 35 4° 34 3? 33 32 32 26 31 '20 30 16 29 14 28 12 27 10 26 10 25 12 50 3 00 37 58 3648 35 39 34 33 33 27 32 21 31 16 30 12 29 09 28 07 27 06 26 06 3 00 10 38 54 37 45 36 35 3 5 „ 34 22 33 17 32 n 31 06 , 30 02 29 00 27 58 26 56 10 20 39 43 38 34 37 2° 36 18 35 12 34 05 32 59 31 55 30 51 29 47 28 44 27 42 20 30 40 28 39 19 38 10 37,°2 35 5$ 34 50 33 44 32 39 31 35 30 3° 29 26 28 24 30 40 41 06 39 58 38 49 37 42 36 36 35 30 34 24 33 19 32 14 31 09 3° 05 29 02 40 50 41 40 40 32 39 24 38 17 37 11 36 04 34 59 33 54 3248 31 44 30 39 29 36 50 4 OO 42 10 41 02 39 54 38 47 37 41 36 35 35 29 34 24 33 19 32 14 31 10 30 07 4 00 io 42 34 41 27 40 20 39 14 38 08 37 01 35 56 34 5i 33 46 -32 41 31 36 30 32 10 20 42 54 41 47 40 41 39 35 3 l 3 o 37 23 36 18 35 14 34 10 33 04 32 00 30 5° 20 30 43 « 42 05 4° 59 39 53 3848 37 42 36 37 35 33 34 28 33 24 32 20 31 15 30 40 43 22 42 17 41 II 40 07 39°2 3 Z 5 1 36 52 35 48 34 44 33 40 32 35 31 31 40 50 43 30 42 26 41 21 40 17 39 12 38 08 37 04 36 00 34 56 33 52 32 48 31 44 50. 5 OO 43 35 42 31 41 27 40 23 39 19 38 15 37 11 36 09 35 05 34 01 32 58 31 53 5 00 10 43 37 42 33 41 29 40 26 39 22 38 19 37 16 36 13 35 10 34 06 33 03 32 00 IO 20 43 34 42 31 41 28 40 26 39 23 38 20 37 17 36 15 35 12 34 09 33 07 32 03 20 30 43 28 42 26 41 23 40 22 39 20 38 17 37 14 36 13 35 10 34 08 33 06 32 04 30 40 43 19 42 17 41 16 40 15 39 13 38 11 37 1° 36 07 35 06 34 04 33 °3 32 00 40 50 43 °7 42 07 41 05 40 04 39 04 38 02 37 01 36 00 34 59 33 58 32 56 31 55 50 6 00 42 52 41 52 40 51 39 51 3851 37 50 36 50 35 49 34 48 33 48 32 47 31 46 6 00 IO 42 33 41 34 40 34 39 35 38 35 37 35 36 35 35 35 34 35 33 35 32 35 31 34 10 20 42 13 41 14 40 14 39 15 38 16 37 16 36 17 35 18 34 19 33 20 32 20 31 21 20 30 41 48 40 49 39 5i 38 52 37 54 36 55 35 57 34 5? 34 00 33 01 32 03 31 04 30 40 41 20 40 22 3 2 2 § 38 27 37 30 36 31 35 33 34 36 33 38 32 39 31 42 30 44 40 50 40 50 39 53 38 56 37 59 37 02 36 04 35 08 34 1° 33 13 32 16 31 19 30 21 50 7 OO 40 16 39 20 38 24 37 28 36 32 35 34 34 38 33 42 32 46 31 50 3° 53 29 56 7 00 10 39 40 38 44 37 48 36 53 35 58 35 02 34 06 33 n 32 15 31 20 30 24 29 29 IO 20 39 °° 3805 37 1° 3° 15 35 21 34 26 33 31 32 37 31 42 3° 47 29 53 28 58 20 30 38 18 37 24 36 30 35 35 34 42 33 47 32 54 32 00 31 06 30 12 29 19 28 25 30 40 37 33 3° 38 35 46' 34 52 34 00 33 °7 32 14 31 21 30 29 "■ 29 35 28 43 27 50 40 50 36 43 35' 5° 34 59 34 06 33 15 32 22 31 31 30 38 29 47 28 55 28 03 27 11 50 8 OO 35 51 35 °° 34 °8 33 17 32 26 31 34 30 44 29 53 29 03 28 12 27 22 26 31 8 00 10 34 56 34 °5 33 08 33 15 32 25 31 36 3° 45 29 55 29 06 28 16 27 27 26 38 25 48 IO 20 33 58 32 18 31 3° 30 42 2952 29 °4 28 16 27 27 26 39 25 51 25 02 20 30 32 56 32 07 31 20 30 31 29 44 28 56 28 09 27 22 26 35 25 48 25 01 24 14 30 40 31 51 31 °4 3° 17 29 31 28 44 27 58 27 12 26 27 25 40 24 55 24 10 23 24 40 50 30 43 29 57 29 11 28 26 27 41 26 57 26 12 25 28 24 43 23 59 23 15 22 31 50 9 00 29 30 28 46 28 03 27 19 26 35 25 51 25 08 24 25 23 42 23 00 22 19 21 36 9 00 10 28 17 27 34 26 51 26 09 25 27 24 44 24 03 23 22 22 41 21 59 21 20 20 39 10 20 26 59 26 17 25 36 24 55 24 16 23 35 22 55 22 15 21 36 20 57 20 18 19 39 20 30 25 38 24 57 24 18 23 39 23 01 22 22 21 44 21 07 20 28 19 5i 19 14 18 37 30 40 24 13 23 34 22 57 22 20 21 43 21 06 20 30 19 54 19 19 18 43 18 09 17 33 40 50 22 44 22 09 21 33 20 58 20 24 19 51 19 15 18 40 18 07 17 33 17 01 16 27 SO 10 OO 21 14 20 40 20 06 19 34 19 01 18 28 17 56 17 24 16 53 16 21 15 51 15 20 10 00 10 19 40 19 08 18 36 18 06 H 3 § 17 05 16 35 16 06 15 36 15 07 14 38 14 09 IO 20 18 04 17 34 17 °5 16 3° 16 08 15 40 15 12 14 45 14 19 13 51 13 25 12 59 20 30 16 23 15 56 15 3° 15 °4 1438 14 13 13 47 13 23 12 5? 12 34 12 09 11 45 30 40 14 42 14 17 13 53 13 29 13 06 12 43 12 20 11 58 11 36 11 15 10 53 10 31 40 50 12 56 12 35 12 14 11 53 11 33 II 12 10 52 10 32 10 13 9 53 9 34 9 16 50 11 OO II 10 10 52 10 33 10 15 9 56 9 39 9 21 9 05 8 48 831 815 7 58 11 OO 10 9 22 9 °5 8 50 8 35 8 20 8 05 Z 5 o 7 36 7 22 7 08 6 54 6 40 10 20 7 31 718 7 05 6 54 6 41 6 30 6 18 6 06 5 54 5 44 5 33 5 21 20 30 5 39 5 30 5 21 5 ii 5 03 4 53 4 44 4 35 4 27 4 19 4 10 4 02 30 40 3 47 3 40 3 34 3 28 3 22 3 16 3 10 3 04 2 58 2 53 2 47 2 42 40 50 1 53 1 51 1 48 1 44 1 41 I 38 1 35 1 32 1 29 1 26 1 23 1 20 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 64 AZIMUTH OR TRUE BEARING. LATITUDE 14°. DECLINATION— SAME NAME AS- -LATITUDE- liATIIUDE 14°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. O f / / ; / ' / / ' t ' Ii. in. OO 00 00 00 00 00 00 00 00 00 00 00 00 10 i 44 1 39 1 34 1 3° 1 26 1 21 1 17 1 14 1 10 1 06 1 02 10 20 3 28 3 18 3 t>9 3 00 2 51 2 42 2 35 2 26 2 19 2 11 2 03 20 30 1 " 4 57 4 42 4 29 4 16 4 °3 3 51 3 39 3 27 316 3 °4 30 40 50 » 52 ° 34 6 15 5 57 5 4° 5 23 5 °7 4 51 4 3° 4 21 4 °5 40 8 3i ,8 09 7 46 7 24 7 02 6 41 6 21 6 01 5 42 5 23 5 °5 50 1 OO io oS 9 41 9 14 8 48 8 24 7 59 7 35 7 12 6 49 6 26 6 04 1 OO 10 II 43 11 12 10 41 10 11 . 9 42 9 14 8 46 8 20 7 53 8 56 7 27 7 03 IO 20 13 14 12 39 12 05 11 31 10 59 10 27 9 57 9 26 8 28 7 59 20 30 14 42 14 05 13 27 12 50 12 14 11 38 11 04 10 31 - 9 58 9 26 8 55 30 40 16 07 15 26 14 45 14 05 13 26 12 47 12 10 11 34 10 58 10 23 9 48, 40 SO 17 29 ■ 16 45 16 00 15 17 15 35 13 54 13 13 12 34 11 55 11 17 ' 10 40 50 2 00 18 46 17 59 17 12 16 27 15 42 14 57 14 15 13 33 12 51 12 11 11 30 2 00 10 20 00 19 10 18 20 17 32 16 45 15 59 15 14 14 28 13 44 13 01 12 18 IO 20 30 40 50 21 09 20 17 19 25 18 35 17 45 1656 16 09 15 22 14 36 13 5° 13 °5 20 22 14 21 20 20 27 19 35 1843 17 52 17 02 16 13 15 24 14 3° 13 49 30 23 16 22 20 21 24 20 30 19 37 18 44 17 53 17 01 16 11 15 21 14 32 40 . 24 12 23 16 22 19 21 22 20 27 19 34 18 40 17 47 16 54 16 03 15 12 50 3 OO 25 06 24 08 23 09 22 12 21 15 20 19 19 24 18 29 17 35 16 42 15 49 3 OO 10 25 55 24 55 23 56 22 57 22 00 21 02 20 06 19 10 18 14 17 19 16 25 10 20 SO 26 40 25 39 24 39 23 39 22 40 21 41 20 44 19 47 18 50 17 53 18 26 1658 20 27 21 26 20 25 19 24 18 23 18 22 18 21 20 20 22 19 24 17 29 30 40 27 58 26 56 25 55 24 54 23 53 22 52 21 53 20 53 19 55 18 56 17 58 40 50 28 32 27 30 26 28 25 26 24 24 23 23 22 23 21 23 20 22 19 23 18 24 50 4 00 29 02 27 59 26 57 25 54 24 52 23 51 22 49 21 48 20 48 19 47 1847 4 OO io 29 28 28 26 27 22 26 19 25 17 24 15 23 13 22 12 21 11 20 10 19 °9 10 20 30 29 51 28 49 27 45 26 42 25 39 24 36 23 34 22 32 21 31 20 30 19 29 20 30 II 29 08 28 04 27 01 25 59 24 56 23 54 22 51 21 49 20 46 19 45 30 40 30 27 29 24 28 20 27 17 26 14 25 11 24 09 23 06 22 04 21 01 20 00 40 50 30 40 29 37 28 33 27 3° 26 27 25 25 24 22 23 19 22 16 21 14 20 11 50 5 00 30 50 29 47 2843 27 40 26 38 25 35 24 33 23 29 22 27 21 23 20 21 5 00 10 3° 57 29 54 28 51 27 48 26 45 25 42 24 40 23 37 22 34 21 31 20 29 10 20 31 00 29 58 2855 27 53 26 49 25 47 24 45 23 42 22 40 21 37 20 35 20 30 31 00 29 59 28 56 27 54 26 52 25 49 24 47 23 45 22 42 21 40 20 37 30 40 30 58 29 57 2855 27 53 26 51 25 49 24 47 23 45 22 43 21 40 20 38 40 50 30 52 29 52 28.51 27 49 26 47 25 46 24 42 23 42 22 41 21 39 20 37 50 6 OO 30 45 29 44 28 43 27 42 26 41 25 4° 24 39 23 38 . 22 37 21 35 20 34 6 00 10 30 34 •29 35 2833 27 33 26 32 25 32 24 32 23 31 22 30 21 29 20 28 10 20 30 21 29 21 28 21 27 22 26 22 25 22 24 22 23 22 22 21 21 21 20 21 20 30 30 05 29 06 28 07 27 07 26 08 25 °9 24 °9 23 10 22 10 21* 10 20 11 30 40 29 45 28 47 27 49 26 51 25 53 24 54 23 55 22 56 21 57 20 58' 19 59 40 50 29 23 28 27 27 29 26 32 25 33 24 36 23 38 22 40 21 42 20 44 19 46 50 7 00 28 59 28 03 27 07 26 09 25 12 24 15 23 19 22 22 21 25 20 27 19 29 7 00 10 28 32 27 37 26 41 25 45 24 49 23 53 22 58 22 01 21 05 20 09 19 12 IO 20 30 40 28 02 27 09 26 14 25 19 24 23 23 29 22 34 21 39 20 44 19 48 18 52 20 27 31 26 37 25 43 24 5° 23 5° 23 02 22 08 21 13 20 20 19 26 18 31 30 26 56 26 04 25 11 24 19 23 26 22 33 21 40 20 47 19 54 iq OO 18 08 40 50 26 20 25 28 24 36 23 45 22 53 22 02 21 10 20 19 19 27 18 34 17 43 50 8 00 25 40 24 50 23 59 23 09 22 18 21 28 20 38 19 47 18 57 18 07 17 16 8 OO 10 2458 24 10 23 20 22 31 21 42 20 53 20 04 19 15 18 26 17 37 16 47 10 20 24 15 23 26 22 39 21 51 21 04 20 15 19 28 18 40 17 53 17 °5 16 17 20 30 23 27 22 42 21 55 21 08 20 22 19 36 18 51 18 04 17 18 16 31 15 45 30 40 22 39 21 54 21 09 20 24 19 39 18 55 18 10 17 26 16 41 15 56 15 11 40 50 21 47 21 05 20 21 19 37 18 55 18 11 17 28 16 45 16 03 15 19 14 36 50 9 00 20 54 20 12 19 31 18 49 18 07 17 26 16 45 16 03 15 23 14 41 14 00 '9 00 10 , 19 58 19 19 18 38 17 58 H IO 16 38 15 59 15 20 14 4° 14 01 13 22 10 20 19 00 18 22 17 44 17 06 16 28 15 5° 15 12 14 35 13 58 13 20 12 42 20 30 18 00 17 24 16 48 16 12 15 36 14 59 14 24 13 48 13 13 12 37 12 02 30 40 16 59 16 24 15 49 15 16 14 41 14 07 13 33 13 00 12 27 « 53 II 19 40 50 15 55 15 22 14 50 14 18 13 46 13 14 12 42 12 II 11 39 11 08 10 36 50 10 00 14 49 14 19 13 48 13 19 12 49 12 19 11 50 II 20 io 51 10 21 9 52 10 00 10 13 41 13 13 12 45 12 18 II 50 11 23 1° 55 10 28 10 01 9 33 9 07 IO 20 12 32 12 06 II 41 11 15 10 51 10 25 9 59 9 34 9 10 8 45 8 20 20 30 11 21 10 58 10 35 9 28 10 12 ° 4 ? 9 26 9 03 8 40 8 18 7 5° 7 32 30 40 50 10 09 l 4 l 9 °7 8 46 8 26 8 05 7 45' 7 25 7 °5 6 45 40 8 57 8 38 8 19 8 01 7 43 7 24 7 07 6 49 6 32 6 14 5 56 50 11 00 742 7 26 7 TO 6 55 6 38 6 23 6 08 5 52 5 36 5 22 5 06 11 00 IO 6 26 6 13 6 00 5 47 5 34 5 20 5 °7 4 54 4 42 4 28 4 16 IO 20 5 10 5 00 4 49 4 38 4 28 4 17 4 07 3 57 3 46 3 36 3 25 20 30 3 53 3 45 3 37 3 29 3 22 3 13 3 05 258 2 5° 2 42 2 34 30 40 2 36 2 31 2 25 2 19 2 14 2 09 2 04 1 59 I 54 1 48 1 43 40 50 1 18 I 15 1 12 I IO 1 07 1 04 1 02 59 57 ° 54 52 50 12 OO 00 00 00 00 00 Q 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- ana when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing. e 65 AZIMUTH OR TRUE BEARING. LATITUDE 15°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 15°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. O ' ' / / / / r / / / / / Ii. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 14 16 12 48 11 36 io 35 9 42 8 58 8 18 7 43 7 13 6 45 6 20 5 58 10 20 26 51 24 21 22 13 20 24 18 49 17 26 16 12 15 07 14 09 13 16 12 29 11 46 20 30 37 <>7 33 58 31 19 29 00 26 56 25 05 23 26 21 57 20 37 19 24 18 17 17 16 30" 40 44 45 41 37 38 46 36 13 33 52 31 46 29 50 28 04 26 29 25 00 23 39 22 24 40 SO 5° 40 47 35 44 45 42 06 39 40 37 26 35 22 33 27 31 40 30 01 28 29 27 04 SO 1 00 55 " 52 15 49 29 46 54 44 28 42 12 40 04 38 04 36 12 34 27 32 48 31 16 1 00 10 58 39 55 54 53 17 50 48 4825 46 II 44 03 42 02 40 08 38 19 36 37 35 00 10 20 6l 21 58 47 5° 19 53 57 51 40 49 30 47 24 45 24 4§ 17 43 30 41 41 39 57 38 17 20 30 63 29 61 06 58 47 5° 32 54 21 52 15 50 14 46 24 44 35 42 51 41 11 30 40 65 10 62 57 60 46 58 39 56 34 54 34 52 36 50 42 48 53 47 06 45 23 43 44 40 50 66 32 64 26 62 23 60 23 58 25 56 28 54 36 52 46 51 00 49 .16 47 35 45 56 50 2 00 67 37 65 40 63 43 61 49 59 56 58 05 56 18 54 32 52 49 51 07 49 28 47 53 2 OO 10 68 30 6638 64 48 62 59 61 13 59 27 57 43 56 01 54 22 52 43 51 07 49 33 IO 20 69 12 67 25 65 41 63 58 62 16 60 35 5856 57 18 55 40 54 06 52 32 51 01 20 30 69 44 68 04 66 25 64 47 63 09 61 32 59 56 58 21 5648 55 16 53 46 52 17 30 40 70 10 6835 67 00 65 26 63 52 62 20 60 47 59 16 57 46 56 17 54 49 53 21 40 50 70 30 68 59 67 28 65 57 64 28 62 59 61 30 60 02 58 34 57 08 55 43 54 18 50 3 00 70 44 69 17 67 50 66 24 64 57 63 31 62 05 60 40 59 15 57 51 5628 55 06 3 OO 10 70 54 69 30 68 07 66 43 65 20 6356 62 34 61 11 59 49 58 28 57 07 55 47 10 20 71 01 69 39 68 18 66 58 65 37 64 17 62 57 61 37 60 17 5858 57 39 56 21 20 30 71 02 69 44 68 25 67 08 65 49 64 32 63 14 61 56 60 39 59 22 58 05 56 49 30 40 71 02 69 46 68 30 67 15 65 59 64 43 63 27 62 12 60 57 59 42 58 27 57 13 40 50 70 57 69 44 68 31 67 17 ■ 66 03 64 50 63 37 62 23 61 10 59 56 58 43 57 30 50 ' 4 00 70 51 69 39 68 28 67 17 '66 05 64 53 63 41 62 29 61 18 60 07 58 55 57 43 4 OO 10 70 42 69 33 68 23 67 13 66 03 64 53 63 43 62 33 61 23 60 13 59 03 57 53 10 20 70 31 69 22 68 15 67 06 65 57 64 50 63 41 62 32 61 24 60 15 59 06 57 59 20 30 70 17 69 II 68 04 6657 65 50 64 43 6336 62 29 61 21 60 15 59 07 58 00 30 40 70 01 68 56 67 51 66 45 65 39 64 34 63 28 62 22 61 16 60 10 59 05 57 59 40 50 69 43 68 39 67 35 66 31 65 27 64 22 63 18 62 13 61 08 60 03 5858 57 53 50 5 00 69 23 68 21 67 18 66 15 65 11 64 08 63 04 62 00 60 57 59 53 58 49 57 46 5 00 lO 69 03 68 00 66 58 6556 64 53 63 51 62 49 61 46 60 43 59 40 58 37 57 34 10 20 6838 67 37 66 36 65 35 64 33 63 32 62 30 6l *2& 60 27 59 24 58 22 57 20 20 30 68 13 67 12 66 12 65 12 64 II 63 10 62 09 6l 08 60 C7 59 06 58 05 57 04 30 40 67 46 66 45 65 46 64 46 63 45 62 45 61 45 6045 59 44 58 44 57 44 56 44 40 50 67 16 66 16 °5 17 64 18 63 18 62 19 61 20 60 20 59 21 58 20 57 21 56 21 50 6 OO 66 43 65 45 64 46 6348 62 49 61 50 60 51 59 52 58 53 57 54 56 55 55 56 6 OO 10 66 10 65 12 °4 13 63 15 62 16 61 18 60 20 59 22 58 24 57 24 56 26 55 27 10 20 ' °5 34 64 36 63 39 62 41 61 42 60 45 59 47 58 49 57 51 56 53 55 55 54 57 20 30 04 55 6358 63 01 62 04 61 06 60 08 59 11 58 14 57 16 56 19 55 21 54 24 30 40 64 15 63 18 62 21 61 24 60 26 59 29 58 32 57 35 56 38 55 4i 54 44 53 47 40 50 63 32 62 35 61 38 60 41 59 44 58 48 57 51 56 54 55 58 55 00 54 04 53 °7 50 7 00 62 47 61 49 60 53 59 56 59 00 58 03 57 07 56 10 55 14 54 18 53 22 52 25 7 OO 10 61 57 61 01 60 05 59 08 58 11 57 16 56 19 55 23 54 28 53 32 52 35 51 40 10 20 61 07 60 09 59 13 58 17 57 21 56 25 55 29 54 33 53 38 52 42 51 47 50 52 20 30 60 12 59 15 58 19 57 23 56 27 55 32 54 36 53 40 52 45 51 49 50 54 50 00 30 40 59 15 58 17 57 22 56 25 55 3° 54 34 53 39 52 44 51 48 50 53 49 59 49 05 40 50 58 13 57 17 56 21 55 25 54 29 53 34 52 39 51 43 5° 49 49 54 49 00 48 06 50 8 00 57 08 56 11 55 16 54 20 53 24 52 30 51 34 50 40 49 45 48 51 47 57 47 °4 8 OO lO 55 59 55 02 54 07 53 11 52 16 51 21 50 27 49 32 48 38 47 45 46 51 45 58 10 20 54 46 53 49 52 54 5i 59 51 04 50 09 49 15 48 21 47 27 46 33 -45 4i 44 48 20 30 53 29 52 32 51 37 50 41 49 46 48 51 47 58 47 04 46 11 45 18 44 26 43 35 30 40 52 06 51 09 5° 14 49 19 48 24 47 31 46 37 45 44 44 51 43 59 43 08 42 17 40 50 5038 49 42 48 47 47 52 46 58 46 04 45 12 44 19 43 27 42 35 41 44 40 55 50 9 00 49 05 48 08 47 13 46 20 45 26 44 33 43 40 42 48 41 57 41 07 40 16 39 28 9 00 10 47 25 46 29 45 35 44 4i 43 48 42 55 42 04 41 13 4° 23 39 33 38 44 37 55 10 20 45 39 44 44 43 51 42 57 42 05 41 14 40 23 39 33 38 44 37 54 37 06 36 20 20 30 43 47 42 52 42 00 4i 07 40 15 39 25 38 35 37 47 3658 36 10 35 24 34 38 30 40 41 47 40 53 40 01 39 10 38 19 37 31 36 42 35 54 35 06 34 21 33 36 32 52 40 50 39 39 38 46 37 57 37 06 36 17 35 29 34 42 33 56 33 11 32 26 31 42 3° 59 50 10 00 37 23 36 33 35 44 34 55 34 07 33 22 32 36 31 52 31 09 30 25 29 44 29 03 10 00 10 35 00 34 10 33 23 32 37 31 51 31 06 30 24 29 41 29 00 28 19 27 40 27 01 10 20 32 28 31 40 30 55 30 11 29 27 28 46 28 05 27 25 26 45 26 08 25 30 24 54 20 30 29 46 29 02 28 19 27 37 26 57 26 18 25 39 25 02 24 26 23 50 23 15 22 42 30 40 2656 26 15 25 35 24 56 24 19 23 43 23 07 22 33 21 59 21 27 20 55 20 24 40 50 23 57 23 20 22 44 22 09 21 34 21 01 20 30 19 59 19 29 18 59 18 30 18 03 50 11 OO 20 50 20 16 19 45 19 '3 1843 18 14 17 46 17 19 16 52 16 27 16 01 15 36 11 00 10 17 36 17 06 16 39 16 12 15 46 15 22 14 58 14 34 14 11 13 50 13 28 13 07 10 20 14 14 13 50 13 27 13 05 12 44 12 23 12 04 II 45 11 27 11 08 10 50 10 34 20 30 10 46 10 27 10 10 9 54 9 37 9 21 9 06 852 8 38 8 24 8 11 7 58 30 40 7 13 7 01 6 49 6 38 6 27 6 16 6 06 5 56 5 47 5 37 5 29 5 20 40 SO 3 38 3 31 3 25 3 20 3 14 3 09 3 03 2 59 2 54 2 49 2 44 2 41 50 13 OO 00 00 00 00 00 00 00 00 00 00 00 00 |12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682—02 5 66 AZIMUTH OR TRUE BEARING. LATITUDE 15°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 15°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. 10 in. 00 io 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 IO 20 30 40 50 00 10 20 30 ' 40 50 00 10 20 30 40 50 00 00 5 37 II 00 16 20 21 15 25 44 29 48 33 28 36 43 39 36 42 08 44 21 56 42 5° 31 56 18 56 02 55 43 55 21 54 56 54 29 53 59 53.26 52 5° S 2 11 51 3° 50 44 49 5° 49 05 48 10 47 13 46 10 45 °6 43 56 42 43 41 25 40 04 3838 37 °8 35 32 33 52 32 07 30 17 28 22 26 22 24 17 22 08 19 54 17 35 15 13 12 47 10 17 7 45 5 12 2 36 o 00 00 00 5 18 5 °2 10 30 9 57 15 28 14 41 20 10 19 10 24 29 23 20 28 26 32 01 35 13 3§ 03 40 36 42 49 46 19 44 48 48 02 46 31 49 3° 48 02 50 49 49 22 51 56 5° 3i 52 54 5i 31 53 44 52 23 54 27 53 °8 55 04 53 46 55 33 54i8 55 58 54 44 56 18 55 °5 56 33 55 22 56 43 55 33 56 5° 55 4i 56 53 55 46 56 52 55 46 5 b 48 55 43 55 37 55 28 55 16 55 "I 54 42 54 21 53 57 53 3° 53 °i 52 28 51 53 51 14 50 33 49 48 49 01 48 11 47 16 46 19 45 18 44 12 43 °5 41 51 4° 35 39 15 37 5° 36 20 34 46 33 °7 31 23 29 36 27 43 25 45 24 42 21 36 19 24 17 09 14 49 12 27 10 01 7 33 5 °3 2 32 00 27 09 30 38 33 47 36 35 39 °° 41 20 43 19 45 °2 46 35 47 56 49 °7 50 09 51 °3 51 49 52 29 53 02 53 3° 53 53 54 1° 54 23 54 33 54 39 54 40 54 38 54 33 54 25 54 14 53 59 53 41 53 21 52 57 52 32 52 03 51 31 5° 56 50 18 49 37 48 53 48 06 47 16 46 22 45 25 44 25 43 20 42 13 41 01 39 45 3» 25 37 °2 35 33 34 00 32 23 3° 41 28 55 27 04 25 08 23 08 21 04 18 55 16 43 14 27 12 08 9 46 7 21 4 56 2 28 o 00 o 00 4 46 9 26 13 56 18 13 22 14 25 56 29 20 32 24 35 " 37 4° 39 53 41 52 43 37 45 » 46 33 47 45 48 48 49 43 50 31 51 12 51 47 52 16 52 41 52 59 53 H 53 25 53 31 53 34 53 34 53 29 53 21 53 11 52 57 52 4° 52 21 51 58 51 33 5i °5 5° 33 49 58 49 22 48 41 47 57 47 11 46 21 45 29 44 32 43 32 42 28 41' 21 40 11 3855 37 37 36 14 34 47 33 16 31 39 30 00 28 15 26 25 24 32 22 34 20 33 18 27 16 18 14 °4 II 49 9 31 7 09 4 47 2 24 OO O 00 4 31 858 13 15 17 22 21 12 24 47 28 05 31 °5 33 49 36 17 38 29 40 28 42 13 43 47 45 11 46 24 47 28 48 25 49 14 49 57 5° 33 51 °3 51 28 51 49 52 05 52 17 52 24 52 28 52 29 52 25 52 18 52 »8 51 55 51 39 51 21 5°58 5° 34 50 06 49 35 49 02 48 24 47 45 47 °2 46 16 45 27 44 35 43 39 42 39 4i 36 4° 31 39 zo 38 06 3648 35 27 34 °i 32 3° 3° 56 29 17 27 35 25 48 23 56 22 01 20 02 17 59 15 53 13 43 II 30 9 16 6 58 4 39 2 21 o 00 o 00 4 18 12 36 16 32 20 15 23 41 26 54 29 5° 32 31 34 56 37 °6 39 °6 40 50 42 25 43 5° 45 °4 46 09 47 07 47 58 48 41 49 19 49 5° 5° 17 5°38 5° 56 51 °8 51 17 51 21 51 23 51 21 51 14 51 °5 50 54 5°38 50 20 49 58 49 35 49 °7 48 37 48 04 47 28 46 49 46 06 45 21 44 32 43 41 42 46 4i 47 40 46 39 4° 38 30 37 17 36 00 25 11 23 21 21 29 19 32 17 31 15 28 13 22 11 12 9 01 6 48 4 33 2 17 o 00 00 4 05 8 06 12 01 15 47 19 19 22 40 25 46 28 37 31 15 33 38 35 48 37 45 39 3i 41 °5 42 3° 43 45 44 52 45 51 46 42 47 27 48 05 48 38 49 °6 49 28 49 47 50 00 50 10 5° 15 50 18 50 16 50 II 5° °3 49 52 49 37 49 19 4858 48 35 48 09 47 39 47 °7 46 31 45 53 45 11 44 26 43 38 42 47 41 53 4° 53 39 53 38 49 37 4° 36 28 35 13 34 4° 33 53 33 14 32 29 31 46 31 °3 3° 13 29 3° 28 36 27 5° 26 55 26 16 24 34 22 47 20 57 19 °3 17 04 15 °5 13 01 1° 55 6 36 4 25 2 13 00 o 00 3 54 7 43 II 27 21 41 24 42 27 29 30 02 32 24 34 32 36 27 38 13 39 47 41 11 42 28 43 34 44 34 45 27 46 12 4652 47 26 47 55 48 19 4838 4852 49 °3 4909 49 13 49 12 49 08 49 00 48 5° 48 3° 48 19 47 5? 47 36 47 1° 4641 46 10 45 35 44 57 44 15 43 31 42 45 41 53 41 00 40 03 39 °2 37 58 36 51 35 4° 34 26 33 °7 31 45 30 19 28 48 27 16 25 38 23 58 22 13 20 25 1833 1638 14 41 12 41 10 38 8 33 6 26 4 18 2 pg o 00 00 3 42 7 22 1° 55 14 22 17 40 20 45 23 4° 26 23 28 53 31 11 33 17 35 12 36 57 38 30 39 55 41 12 42 19 43 19 44 13 44 59 45 4° 46 14 46 44 47 09 47 29 47 45 47 56 48 04 48 08 48 08 48 05 47 58 47 48 47 35 47 18 4f 59 46 37 46 12 45 43 45 13 44 38 44 °i 43 20 42 37 41 5° 41 01 40 08 39 11 38 12 37 °9 36 03 34 53 33 39 32 21 31 01 29 36 28 08 26 37 25 02 23 23 21 40 18 06 16 13 14 18 12 21 10 21 8 20 6 16 4 11 2 05 o 00 o 00 3 32 7 01 10 25 13 43 16 53 19 52 22 42 25 19 27 46 30 01 32 05 33 59 35 42 37 16 38 40 39 57 41 °4 42 05 42 59 43 47 44 28 45 °3 45 34 46 00 46 20 46 37 46 49 46 57 47 °2 47 °3 47 °l 46 55 46 46 46 33 46 18 46 00 45 38 45 13 44 46 44 15 43 42 43 °5 42 24 41 42 40 56 40 07 39 15 38 20 37 21 36 19 35 14 34 °5 32 52 31 37 30 17 2854 27 27 25 57 24 24 22 47 21 07 19 24 17 37 1548 13 55 12 01 10 04 8 06 6 06 4 °4 2 02 o 00 00 3 21 6 42 9 57 13 07 16 09 19 02 21 46 24 19 26 41 2853 3° 55 32 48 34 29 36 02 37 27 38 43 39 5° 4° 52 41 46 42 34 43 16 43 53 44 24 44 5° 45 12 45 29 45 43 45 51 45 57 45 58 45 57 45 52 45 44 45 32 45 18 44 59 44 39 44 15 43 48 43 18 42 44 42 09 4i 29 40 48 40 02 39 14 38 23 37 28 36 31 35 3° 34 25 33 17 32 07 3° 52 29 33 28 12 26 47 25 19 23 48 22 13 20 35 18.54 17 °9 15 22 13 33 11 42 9 48 7 53 5 56 3 57 1 59 00 00 3 13 6 24 9 30 12 32 15 28 18 14 20 52 23 20 25 4° 27 49' 29 4» 31 39 33 19 34 51 36 15 37 31 38 39 39 4° 40 35 4i 23 42 06 42 43 43 15 43 42 44 °4 44 22 44 36 44 46 44 52 44 55 44 54 44 5° 44 42 44 31 44 17 44 °° 43 4° 43 16 42 5° 42 20 4i 48 41 13 4° 34 39 54 39 10 38 21 37 32 36 37 35 41 34 41 33 37 32 3° 31 21 30 07 28 50 27 36 26 07 24 41 23 12 21 39 20 03 18 24 16 42 14 58 13 12 II 23 9 32 7 39 5 46 3 52 1 56 00 b. O 11 12 111. OO 10 20 SO 40 SO 00 IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 ■ 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 OO IO 20 30 40 SO 00 IO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 IO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 67 AZIMUTH OR TRUE BEARING. LATITUDE 15°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 15°. Hour Angle. 48° 4»° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. b. ill. o / / / / / / / t / / / / b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 3 "4 2 55 2 48 2 40 2 33 2 27 2 20 2 14 2 07 2 02 156 1 51 10 20 6 06 5 50 5 34 5 20 5 06 4 52 4 39 4 26 4 15 4 04 3 52 3 42 20 30 9 05 8 41 8 18 7 56 7 35 716 656 6 37 6 20 6 03 5 47 5 31 30 40 " 59 11 27 10 58 10 30 10 02 9 36 9 10 847 8 24 8 01 7 40 7 19 40 ao 14 47 14 09 13 33 12 58 12 25 11 53 11 22 10 53 10 24 9 56 9 30 9 04 50 1 OO 17 28 16 44 16 02 15 21 14 42 14 05 13 29 12 54 12 21 11 49 11 17 10 47 1 OO 10 20 OO 19 12 18 24 ■7 38 16 54 16 12 15 32 14 52 14 14 13 38 13 02 12 28 10 20 22 25 21 30 20 39 19 48 19 00 18 14 17 29 16 46 16 03 15 22 14 43 14 04 20 30 24 40 23 42 22 46 21 52 21 00 20 09 19 20 18 33 17 47 17 03 16 19 1538 30 40 26 46 25 45 24 46 23 48 22 53 21 59 21 07 20 16 19 26 1838 17 52 17 07 40 50 28 42 27 39 26 37 25 3° 24 39 23 42 22 46 21 52 21 00 20 10 19 20 18 32 50 2 OO 30 30 29 25 28 21 27 19 26 17 25 19 24 20 23 24 22 29 21 36 20 44 19 52 2 OO 10 32 II 31 03 29 56 28 52 27 49 26 48 25 48 24 50 23 52 22 57 22 02 21 08 10 20 33 41 32 32 31 25 30 19 29 15 28 12 27 10 26 09 25 10 24 12 23 16 22 20 20 30 35 04 33 54 32 46 31 39 30 33 29 3° 28 27 27 25 26 24 25 24 24 25 23 27 30 40 36 20 35 09 34 01 32 53 31 46" 30 41 29 37 28 33 27 31 26 31 25 30 24 30 40 50 37 27 3« 17 35 08 34 00 32 52 31 46 3° 41 29 37 28 34 27 32 26 30 25 29 50 3 00 38 29 37 18 36 09 35 00 33 52 32 45 31 39 30 35 29 31 28 28 27 25 26 23 3 00 10 39 24 38 13 37 04 35 55 34 47 33 40 32 33 31 28 30 23 29 20 28 16 27 14 lO 20 40 12 39 03 37 53 3« 44 35 36 34 29 33 23 32 17 31 II 30 07 29 03 27 49 20 30 40 55 39 46 3836 37 28 36 20 35 12 34 06 33 °0 31 54 30 49 29 45 28 41 30 40 41 34 40 24 39 15 38 07 36 59 35 51 34 45 33 38 32 33 31 28 30 23 29 19 40 50 42 05 40 56 39 48 38 40 37 32 36 25 35 19 34 13 33 07 32 02 30 5° 29 52 50 4 00 42 33 41 25 40 17 39 °9 38 03 36 56 35 49 34 42 33 37 32 32 31 27 30 22 4 00 10 42 57 41 49 40 41 39 34 38 28 37 21 36 15 35 08 34 03 32 59 31 53 30 48 10 20 43 15 42 08 41 01 39 54 3848 37 42 36 36 35 31 34 26 33 21. 32 15 31 10 20 30 43 29 42 24 4i 17 40 II 39 05 38 00 36 54 35 49 34 44 33 39 32 34 31 29 30 40 43 41 42 35 41 29 40 24 39 19 38 13 37 08 36 03 34 58 33 54 32 49 31 45 40 50 43 47 42 42 41 37 40 32 39 28 38 23 37 18 36 13 35 09 34 05 33 00 31 56 50 5 00 43 50 42 46 41 42 40 38 39 33 38 29 37 25 36 21 35 17 34 13 33 09 32 05 5 00 lO 43 5i 42 46 41 43 40 39 39 36 38 32. 37 28 36 25 35 22 34 19 33 15 32 11 lO 20 ' 43 47 42 44 41 41 40 38 39 34 3831 37 29 36 26 35 23 34 19 33 16 32 13 20 30 43 39 42 37 41 35 40 33 39 31 38 28 37 25 36 22 35 20 34 18 33 15 32 12 30 40 43 30 42 28 41 26 40 25 39 23 38 21 37 19 36 17 35 15 34 13 33 11 32 08 40 50 43 16 42 16 41 15 4° 13 39 12 38 11 37 1° 36 08 35 °7 34 06 33 04 32 02 50 6 OO 43 00 41 59: 40 59 39 58 38 58 37 58 36 57 35 56 34 56 33 56 32 54 31 53 6 OO 10 42 40 41 40 40 40 39 41 3841 37 41 36 42 35 42 34 41 33 41 32 41 31 41 10 4 20 42 18 41 18 40 19 39 20 38 21 37 22 36 23 35 24 34 24 33 26 32 25 31 25 20 30 41 51 40 53 39 55 38 57 37 59 37 00 36 02 35 03 34 04 33 06 32 07 31 08 30 40 41 23 40 26 39 28 38 3° 37 33 3° 35 35 38 34 40 33 42 32 44 31 46 30 48 40 50 40 51 39 55 3858 38 01 37 04 36 07 35 10 34 13 33 16 32 19 31 22 30 24 50 7 00 40 17 39 21 3825 37 29 36 32 35 36 34 40 33 44 32 48 31 52 '30 55 29 58 7 OO 10 39 39 38 44 37 49 36 53 35 58 35 02 34 08 33 12 32 17 31 22 30 26 29 30 10 20 3858 3805 37 10 36 15 35 21 34 27 33 32 32 37 31 43 30 49 29 54 28 59 20 30 38 15 37 22 36 28 35 34 34 41 33 47 32 53 32 00 31 07 30 13 29 19 28 26 30 40 37 28 36 36 35 43 34 50 33 57 33 os 32 12 31 20 30 28 29 36 28 42 27 50 40 50 3638 35 47 34 55 34 04 33 12 32 20 31 28 30 37 29 45 28 54 28 03 27 11 50 8 00 35 46 34 55 34 04 33 14 32 23 31 32 30 41 29 51 29 00 28 IC 27 20 26 30 8 OO 10 34 50 34 00 33 1° 32 20 31 31 30 42 29 52 29 03 28 13 27 24 26 35 25 46 lO 20 33 5i 33 03 32 13 31 24 30 37 29 48 29 00 28 12 27 24 26 36 25 48 25 01 20 30 32 49 32 01 31 14 30 26 29 39 28 52 28 05 27 18 26 31 25 46 24 59 24 12 30 40 31 43 30 57 30 11 29 24 28 38 27 52 27 07 26 22 25 3° 24 52 24 07 23 22 40 50 3° 35 29 49 29 05 28 19 27 36 26 51 26 07 25 22 24 39 23 55 23 11 22 28 50 9 00 29 23 28 39 27 55 27 12 26 29 25 46 25 04 24 20 23 39 22 57 22 14 21 33 9 00 10 28 08 27 26 26 43 26 02 25 20 24 39 23 58 23 17 22 36 21 56 21 16 20 36 lO 20 26 49 26 09 25 28 24 48 24 08 23 29 22 49 22 10 21 31 20 53 20 14 19 36 20 30 25 28 24 49 24 10 23 32 22 53 22 15 21 38 21 01. 20 24 19 47 19 10 18 34 30 40 24 03 23 26 22 49 22 12 '21 37 21 01 20 24 19 49 19 14 18 39 18 04 17 29 40 50 22 35 22 01 21 25 20 51 20 16 19 42 19 09 1836 18 02 17 30 16 57 16 24 50 lO OO 21 05 20 32 19 58 19 27 18 54 18 23 17 50 17 19 16 47 16 18 15 47 15 16 10 00 lO 19 31. 19 01 18 30 17 59 17 29 17 00 16 29 16 01 15 32 15 03 14 35 14 06 10 20 17 55 17 26 16 58 16 30 16 02 15 34 15 °7 14 41 14 14 13 48 13 22 12 56 20 30 16 16 15 50 15 24 14 57 14 32 14 07 13 43 13 18 12 54 12 30 12 06 II 42 30 40 14 34 14 10 13 47 13 24 13 01 12 38 12 16 II 54 11 32 II II 10 49 10 28 40 50 12 50 12 29 12 09 11 48 11 28 11 07 10 48 10 28 10 10 9 50 9 3i 9 12 50 11 OO 11 04 10 46 10 28 10 10 9 53 9 35 9 18 9 01 8 45 8 29 8 12 7 56 11 00 10 9 17 9 01 8 46 831 8 16 8 01 7 48 7 33 7 19 7 05 651 6 59 10 20 7 27 7 14 7 03 6 50 6 39 6 27 6 15 6 03 5 53 5 42 5 3i 5 19 20 30 5 36 5 27 5 18 5 09 5 00 4 51 4 42 4 34 4 25 4 17 4 08 4 00 30 40 3 45 3 38 3 32 3 27 3 20 3 14 3 08 3 02 2 57 2 52 2 46 2 41 40 50 1 53 1 49 1 46 1 43 I 40 1 38 1 35 1 32 1 29 1 26 1 23 1 21 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 68 AZIMUTH OR TRUE BEARING. LATITUDE 15°. DECLINATION— SAME NAME AS- -LATITUDE. latitude; 15°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in.' o / / / 1 / 1 / / / / ,■ b. hi. 00 OO 00 00 00 00 00 00 00 00 DO 00 O 00 10 I 46 1 41 1 36 1 31 1 28 1 23 1 18 1 14 1 10 I 07 1 03 10 20, 3 3i 3 22 3 12 3 03 2 54 2 46 2 37 2 28 2 21 2 12 2 05 20 30 5 16 5 01 4 47 4 33 6 03 4 20 4 °7 3 54 3 42 3 30 3 18 3 t>7 30 40 ° 59 ° 39 . 21 5 45 528 5 11 4 55 4 39 4 23 4 08 40 50 8 40 8 16 7 53 7 3° 7 08 6 48 6 27 6 07 5 47 5 28 5 09 50 1 00 10 19 9 5° 9 23 8 56 8 31 8 05 7 4° 7 17 6 54 631 6 08 1 OO 10 " 55 11 22 10 50 10 20 9 51 9 22 854 8 27 7 59 7 33 7 °7 10 20 13 27 12 51 12 16 11 41 11 08 10 36 10 04 9 33 9 03 8 33 8 04 20 30 14 57 14 17 13 39 13 °l 12 24 11 48 11 12 10 38 10 05 9 32 9 00 30 40 16.22 *§ 3 i 14 57 14 16 13 36 12 58 12 19 11 43 11 06 10 30 9 55 * 40 50 50 17 45 16 58 16 13 15 29 14 47 14 04 13 23 12 44 12 04 11 25 10 47 2 00 19 03 18 13 17 25 16 39 15 53 15 °9 14 25 13 42 13 00 12 18 11 38 2 OO 10 20 17 19 25 18 35 17 46 16 57 16 10 15 23 14 38 13 54 13 1° 12 26 10 20 21 26 20 33 19 4° 18 49 17 58 17 °9 16 20 15 33 14 46 13 59 13 13 20 30 22 32 21 36 20 41 19 48 18 56 18 05 17 14 16 23 15 35 14 46 13 57 30 40 50 23 34 22 36 21 39 20 44 19 51 18 57 18 04 17 12 16 21 15 31 14 4° 40 24 31 23 31 22 34 21 37 20 42 19 46 18 51 17 57 17 °4 16 12 15 20 50 3 00 25 23 24 23 23 24 22 25 21 28 20 32 19 36 18 41 17 46 16 51 15 58 3 00 10 26 13 25 11 24 11 23 11 22 13 21 15 20 17 19 21 18 24 17 28 1° 33 10 20 30 40 50 26 57 25 55 24 54 23 53 22 54 21 55 20 56 19 58 19 00 18 03 17 °7 20 27 38 26 36 25 34 24 32 23 32 22 31 21 31 20 32 19 33 18 36 17 38 30 28 15 27 11 26 09 25 °7 24 °5 23 °5 22 04 21 04 20 04 19 °5 18 06 40 28 49 27 44 26 42 25 39 24 37 23 35 22 34 21 33 20 32 19 32 18 32 50 4 00 29 17 28 13 27 10 26 07 25 04 24 02 23 00 21 59 20 57 19 57 1856 4 OO 10 29 44 28 40 27 36 26 33 25 3° 24 27 23 24 22 22 21 20 20 19 19 17 10 20 30 06 29 01 - 27 58 26 54 25 51 24 48 23 45 22 43 21 40 20 38 19 3 6 20 30 3° 25 29 20 28 16 27 13 26 10 25 07 24 03 23 00 21 58 20 55 19 S 2 30 40 30 40 29 35 28 32 27 28 26 25 26 38 25 21 24 18 23 IS 22 13 21 xo 20 07 40 50 30 53 . 29 48 28 45 27 41 25 35 24 31 23 28 22 24 21 22 20 19 50 5 OO 31 02 2958 28 54 27 5° 26 47 25 45 24 41 23 38 22 35 21 32 20 29 5 00 10 20 30 31 08 30 03 29 00 27 57 28 01 26 54 25 5* 24 48 23 45 22 42 21 39 20 36 10 31 11 30 07 29 04 2658 25 56 24 52 23 5" 22 47 21 44 20 41 20 31 II 30 07 29 °5 28 02 26 59 25 57 24 54 23 52 22 49 21 47 20 43 30 40 31 08 30 05 29 02 28 DO 2658 25 5° 24 53 23 52 22 50 21 47 20 44 40 50 31 02 29 59 28 57 27 56 2°54 25 53 24 5i 23 49 22 46 21 45 20 42 50 6 00 30 52 29 51 28 50 27 48 26 48 25 46 24 45 23 44 22 42 21 41 20 38 6 00 10 3° 41 29 4° 2839 27 38 26 38 25 38 24 37 23 37 22 36 21 34 20 32 10 20 30 26 29.27 28 27 27 27 26 27 25 27 24 27 23 27 22 26 21 26 20 25 « 20 30 40 30 09 29 10 28 11 27 12 26 13 25 13 24 14 23 15 22 15 21 15 20 14 30 29 5° 28 51 27 53 26 55 25 56 24 58 23 59 23 00 22 01 21 02 20 03 40 50 29 27 28 30 27 32 26 35 25 37 24 39 23 42 22 44 21 45 20 47 19 49 50 7 00 29 02 28 06 27 09 26 12 25 15 24 18 23 22 22 25 21 27 20 30 19 33 7 00 lO 28 35 27 39 26 43 25 47 24 52 23 56 23 00 22 04 21 08 20 12 19 14 10 20 30 28 04 27 10 26 15 25 21 24 26 23 31 22 35 21 41 20 46 19 51 18 55 20 27 32 26 38 25 45 24 51 23 57 23 03 22 10 21 16 20 22 19 28 18 32 30 40 50 26 57 26 05 25 12 24 20 23 27 22 34 21 42 20 49 19 5° 19 03 18 10 40 26 20 25 28 24 37 23 45 22 54 22 02 21 11 20 20 19 28 18 37 17 44 50 8 OO 10 25 4° 24 50 23 59 23 09 22 19 21 29 20 39 19 49 18 58 18 08 17 17 8 OO 24 58 24 09 23 20 22 31 21 42 20 53 20 05 19 16 18 26 17 37 16 48 10 20 24 13 23 25 22 38 21 51 21 03 20 16 19 28 18 41 17 53 17 06 16 18 20 30 23 26 22 39 21 54 21 08 20 21 19 36 18 50 18 04 17 18 16 32 15 45 30 40 50 22 36 21 52 21 08 20 23 19 38 18 54 18 09 17 26 16 41 15 5° 15 12 40 21 45 21 02 20 19 19 3° 18 53 18 11 17 28 16 45 16 02- 15 19 14 36 50 9 OO 10 20 30 40 50 20 51 20 10 19 29 18 47 18 06 17 25 16 44 16 03 15 21 14 4i 13 59 9 00 19 56 19 16 18 36 17 55 17 16 1638 15 59 15 19 14 4° 14 01 13 22 10 i§ 5 8 18 19 17 42 17 04 16 26 15 49 15 11 14 35 13 57 13 20 12 41 20 17 58 17 22 16 45 16 10 15 34 14 59 14 23 13 48 13 12 12 37 12 01 30 16 55 16 21 15 47 15 13 1440 14 06 13 33 12 59 12 26 11 53 11 19 40 15 52 15 20 14 47 14 16 13 44 13 12 12 41 12 10 n 38 11 07 1° 35 50 10 00 lO 20 30 40 50 14 46 14 16 - 13 46 13 1° 12 46 12 18 II 48 II 19 10 50 10 20 9 51 10 00 13 38 13 11 12 43 12 15 11 48 11 21 1° 54 10 27 10 00 9 33 9 05 10 12 30 12 04 11 38 11 13 10 48 10 24 9 59 9 34 9 °9 8 44 8 20 20 11 19 10 56 1° 33 10 09 9 47 9 24 9 01 8 40 8 17 7 54 7 32 30 10 07 9 46 9 26 9 °5 8 44 825 8 04 7 44 7 24 7 °4 6 44 40 8 54 8 36 8 18 8 00 7 41 7 24 7 06 6 49 1 6 31 613 5 55 50 11 OO 10 20 30 40 50 12 OO 7 4° 7 24 7 09 6 52 6 37 6 22 6 06 5 52 5 3° 5 21 5 °5 11 00 6 25 6 11 5 58 5 45 5 32 5 20 5 °° 4 54 4 4i 4 28 4 16 10 5 09 4 58 448 4 37 4 26 4 16 4 06 3 55 3 45 3 35 3 25 20 3 52 3 44 3 36 3 28 3 20 3 13 2 08 3 °5 2 57 2 49 2 41 2 34 30 2 35 2 3° 2 25 2 19 2 13 2 03 158 1 53 1 48 1 43 40 1 18 1 15 1 12 1 10 1 07 1 °5 1 02 1 00 ° 57 54 51 SO 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. ="B"= i"u "«= 69 AZIMUTH OR TRUE BEARING. LATITUDE 16°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 16° Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° o t / / / / / / / / / O 00 00 00 00 00 00 00 00 00 00 12 43 11 3° 10 29 9 37 852 8 13 7 38 7 08 6 40 6 15 24 10 22 03 20 13 1839 17 16 16 03 H 57 14 00 13 °8 12 20 33 43 31 °5 28 46 26 41 24 51 23 12 21.43 20 24 19 12 18 05 41 21 38 30 35 56 33 36 3' 3° 29 34 27 49 26 13 24.44 23 23 28 11 47 18 44 26 41 49 39 22 3708 35 °4 33 °7 31 21 29 43 5i 57 49 1° 46 36 44 °9 41 52 39 44 37 44 35 51 34 07 32 28 55 36 52 57 50 28 48 05 45 5° 43 41 41 40 39 45 37 58 36 14 5§ 28 55 59 58 26 53 37 56 11 51 19 49 08 47 °2 45 °2 43 °7 41 18 39 33 60 46 53 59 5i 52 49 51 47 53 46 00 44 11 42 27 62 36 60 25 58 17 56 11 54 1° 52 12 50 18 48 27 46 41 44 57 64 05 62 01 60 00 58 01 56 05 54 12 52 21 5° 34 48 49 47 °8 65 18 63 20 61 25 5 9 3 Z 57 4i 55 52 54 °6 52 22 5° 4i 49 °2 66 16 64 24 62 35 60 48 59 01 57 17 55 34 53 54 52 15 5° 39 67 02 65 17 63 34 61 51 60 09 58 28 56 49 55 12 53 37 52 °3 67 39 66 00 64 21 62 42 61 05 59 29 57 54 56 20 54 47 53 15 54 18 68 09 66 34 65 00 63 25 6*52 60 19 58 47 57 16 55 47 68 32 67 01 65 3° 64 00 62 30 61 01 59 32 58 04 56 37 55 " 68 50 67 22 65 55 64 27 63 00 61 35 60 09 58 44 57 20 55 56 69 01 67 37 66 13 6449 63 25 62 03 60 39 59 17 ' 57 55 5° 34 69 10 67 48 66 27 65 06 63 45 62 25 61 04 59 44 58 24 57 °5 69 13 67 54 6637 65 18 63 59 62 41 61 23 60 05 5848 57 30 69 14 67 57 66 41 65 25 64 09 62 54 61 37 60 21 59 o 6 57 51 69 11 67 57 66 42 65 29 64 15 63 00 61 47 60 33 59 19 58 06 69 05 67 53 66 41 65 29 64 17 63 °5 61 53 60 41 59 29 58 16 68 56 67 46 66 36 65 26 64 16 63 °5 61 54 60 44 59 35 58 24 68 45 67 37 66 28 65 20 64 11 63 02 61 53 60 45 59 36 58 27 68 32 67 25 66 17 65 10 64 04 62 57 61 48 60 41 59 34 58 26 68 16 67 11 66 05 64 59 63 52 62 47 61 40 60 34 59 28 58 22 67 59 66 54 65 5° 64 45 63 40 62 35 61 31 60 25 59 2° 58 15 67 38 66 34 65 32 64 28 63 25 62 21 61 17 60 13 59 °8 58 05 67 16 66 13 65 11 64 08 63 06 62 04 61 00 59 57 58 55 57 52 66 51 65 5° . 64 49 °3 47 62 45 61 43 60 41 59 4° 5838 57 35 66 24 65 24 64 24 63 23 62 22 61 21 60 21 59 19 58 18 57 16 65 56 64 56 63 56 62 57 61 57 60 56 59 57 5856 57 55 56 55 6526 64 26 6i 27 62 28 61 28 60 29 59 29 58 3° 57 31 56 3° 64 53 63 54 62 56 61 57 6058 60 00 59 00 5829 58 01 57 °2 56 03 64 18 63 20 62 22 61 24 60 26 5928 5852 57 31 56 32 55 33 63 41 62 43 61 45 60 48 59 5° 57 55 56 57 55 59 55 01 63 01 62 03 61 06 60 10 59 13 58 15 57 17 56 21 55 24 54 25 62 19 61 22 60 25 59 29 58 32 57 35 5638 55 4i 54 45 53 48 61 34 60 37 59 4i 58 45 57 48 56 52 55 56 54 59 54 °3 53 °7 60 47 59 51 58 54 57 59 57 °3 56 07 55, " 54 15 53 18 52 23 59 57 59 01 58 °5 57 °9 56 13 55 17 54 21 53 26 52 31 51 36 59 °4 58 08 57 12 56 17 55 21 54 26 53 32 52 36 51 41 50 46 58 08 57 13 56 17 55 22 .54 27 53 3i 52 37 51 42 5° 47 4 ? 5 i 57 09 56 13 55 18 54 23 53 28 52 33 51 39 5° 45 49 51 48 56 56 05 55 1° 54 15 53 21 52 26 51 32 5°38 49 44 48 5° 47 56 54 59 54 °4 53 °9 52 15 51 21 50 26 49 32 48 39 4746 46 52 53 49 52 54 52 00 51 °5 50 11 49 18 48 24 47 31 46 38 45 46 52 34 51 4° 5° 45 49 51 48 57 48 05 47 12 46 19 45 27 44 35 51 15 50 21 49 27 48 34 47 4° 46 47 45 55 45 °3 44 11 43 20 49 5i 48 57 48 03 47 11 46 18 45 26 44 34 43 43 42 52 42 01 48 23 47 29 46 36 45 43 44 51 44 00 43 °9 42 18 41 27 40 38 46 48 45 55 45 °3 44 11 43 20 42 29 41 38 40 48 39 59 39 1° 45 °9 44 16 43 24 42 33 41 42 4° 52 40 02 39 14 38 26 37 38 43 23 42 31 41 40 40 50 40 00 39 " 38 23 37 35 36 47 36 00 41 31 40 40 39 5° 39 01 38 12 37 24 36 37 35 51 35 °5 34 19 39 33 38 42 37 54 37 °5 36 18 35 32 34 46 34 01 33 16 32 32 37 27 36 39 35 51 35 °4 34 18 33 34 32 49 32 05 31 23 3° 41 35 15 34 28 33 42 32 57 32 13 3 1 3o 30 48 30 05 29 25 2845 32 55 32 09 31 25 3° 43 30 01 29 19 2839 27 59 27 21 26 42 30 28 29 45 29 03 28 22 27 42 27 04 26 26 25 48 25 13 24 37 27 54 27 13 26 33 25 55 25 18 24 42 24 °7 23 32 22 58 22 25 25 10 24 33 23 57 23 22 .22 48 22 14 21 42 21 10 20 39 20 09 1748 22 21 21 46 21 14 20 42 20 II 19 41 19 12 18 44 18 16 19 24 18 53 18 25 17 57 17 29 17 04 16 37 16 12 15 48 15 24 12 56 16 21 15 55 15 31 15 ° 6 14 43 14 20 13 58 13 37 13 16 13 12 12 51 12 31 12 11 II 52 ' " 33 11 16 1058 10 41 10 25 9 58 9 43 9 2 7 9 " 8 57 8 43 8 3° 8 16 8 04 7 5i 6 41 631 6 20 6 10 6 00 5 5i 5 4i 5 33 5 24 5 16 3 21 316 3 11 3 °6 3 00 2 55 2 52 2 47 2 42 2 38 00 00 00 00 00 00 00 00 00 00 Hour Angle. Ii. IO 11 12 in. 00 10 20 30 40 50 00 IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 o 00 16 07 29 37 40 00 47 58 53 43 58 00 61 14 63 42 65 38 67 08 68 19 69 16 70 01 7° 35 71 02 71 21 71 3° 71 45 71 5° 71 52 71 5° 71 46 7i 39 71 28 71 17 71 02 7046 70 27 70 08 69 43 69 20 68 54 68 26 °7 55 67 24 66 49 66 13 65 36 64 56 64 12 63 27 62 39 61 49 60 57 60 00 59 °° 57 57 56 5° 55 4° 54 25 53 °5 51 4i 50 12 48 37 4° 57 45 1° 43 16 41 16 39 °8 36 52 34 28 31 57 29 16 26 28 23 32 20 26 17 15 13 57 10 32 7 °4 3 33 o 00 o 00 14 10 26 39 36 44 44 29 5° 24 54 53 58 21 61 03 63 10 64 51 66 11 67 16 68 07 68 48 69 20 69 46 70 04 70 17 70 26 70 32 70 32 70 30 7° 25 70 17 70 07 69 54 69 39 69 22 69 03 68 41 68 18 °7 53 67 26 66 56 66 25 65 52 65 16 64 39 6358 63 16 62 31 61 43 60 53 60 01 59 °4 58 05 57 °i 55 55 54 44 53 3° 52 11 5047 49 '7 47 43 46 03 44 16 42 23 40 24 38 17 36 04 33 41 31 12 2835 25 49 22 55 19 55 16 47 13 34 10 15 6 53 3 27 o 00 Ii. O IO 11 12 ill. 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 70 AZIMUTH OR TRUE BEARING. LATITUDE 16°. DECI4NATI0N- -SAME NAME AS— LATITUDE. latitude: ie°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. ill. o / / / / t / / / 1 / ' / b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 5 54 5 33 5 14 4 58 4 42 4 27 4 14 4 01 3 49 3 39 3 28 3 18 10 30 II 37 10 58 10 22 9 48 9 18 85° 8 23 7 59 7 36 7 14 6 54 6 35 20 30 17 °4 16 09 15 17 14 29 13 45 13 »4 12 26 11 5° 11 16 10 45 9 15 9 47 30 40 22 o8 20 59 19 54 18 54 17 59 17 °7 16 17 15 32 14 48 14 °7 13 3° 12 53 40 50 26 46 25 26 24 11 23 01 21 55 20 55 19 57 19 02 18 10 17 22 16 35 15 52 50 1 00 3° 55 29 28 28 06 26 48 25 35 24 27 23 21 22 20 21 21 20 25 19 32 18 42 1 00 10 34 38 33 °5 31 38 30 15 2856 27 42 26 31 25 24 24 19 23 18 22 19 21 23 10 20 37 54 36 19 34 48 33 22 31 59 30 40 29 25 28 13 27 03 25 58 24 55 23 54 20 30 40 46 39 11 37 38 3 n °§ 34 44 33 23 32 04 30 49 29 3° 28 27 27 20 26 15 30 40 43 18 41 41 40 09 3838 37 " 35 49 34 28 33 11 31 55 3° 43 29 33 28 26 30 2(r 40 50 45 29 43 54 42 21 40 50 39 24 38 00 36 37 35 18 34 °2 32 47 31 35 50 2 00 47 25 45 50 44 18 42 48 41 21 39 57 38 34 37 14 35 56 34 41 33 27 32 16 2 OO 10 49 °5 47 32 46 01 44 33 43 °6 41 42 40 19 38 59 37 41 36 24 35 °9 33 56 10 20 50 3i 49 °i 47 31 46 04 44 39 43 15 41 52 40 33 39 15 37 57 36 41 35 28 20 30 51 46 50 18 48 50 47 24 46 00 44 37 43 16 41 56 40 38 39 21 38 05 36 51 30 40 52 51 51 24 49 59 5058 48 34 47 11 45 5° 44 29 43 1° 41 53 40 36 39 21 38 06 40 50 53 46 52 22 49 35 48 14 46 53 45 34 44 16 42 58 41 43 40 28 39 14 50 3 00 54 33 53 10 51 49 5028 49 °8 47 49 46 31 45 13 43 57 42 42 41 28 40 14 3 OO 10 55 13 53 53 52 33 51 13 49 55 4838 47 21 46 04 44 48 43 34 42 21 41 °7 lO 20 55 47 1 54 28 53 io 51 52 5° 35 49 20 48 03 46 49 45 33 44 20 43 °7 41 55 20 30 56 13 54 57 53 41 52 25 51 °9 51 38 49 55 48 40 47 27 46 12 44 59 43 47 42 36 30 40 56 35 55 21 54 06 52 52 5° 24 49 " 47 58 46 46 45 34 44 22 43 11 40 50 56 53 55 39 54 27 53 13 52 01 5048 49 37 48 25 47 14 46 03 44 53 43 42 50 4 00 57 °5 55 53 54 42 53 3° 52 19 51 °9 49 57 48 47 47 37 46 27 45 16 44 °7 4 00 10 57 13 56 03 54 53 53 42 52 33 51 24 5° 14 50.26 49 °4 4 Z 55 > 46 46 45 37 44 28 10 20 57 18 56 10 55 00 53 51 52 43 5i 34 49 17 48 08 47 °i 45 53 44 45 20 30 57 18 56 II 55 04 53 55 52 48 51 41 5° 33 49 26 48 19 47 12 46 04 44 57 30 40 57 16 56 10 55 03 53 57 52 51 51 43 5° 37 49 31 4825 47 18 46 12 45 °6 40 50 57 10 56 05 54 59 53 54 52 49 51 43 5° 37 49 32 48 26 47 21 46 16 45 1° 50 5 00 57 01 55 56 54 52 53 J 47 52 43 5i 38 5° 34 49 3° 48 25 47 20 46 16 45 11 5 OO 10 56 49 55 45 54 42 53 38 52 35 51 32 50 28 49 24 48 20 47 17 46 13 45 °9 10 20 56 33 55 31 54 28 53 26 52 23 51 21 50 18 49 15 48 12 47 °9 46 58 46 07 45 °3 20 30 56 16 55 14 54 12 53 1° 52 08 51 °7 50 04 49 03 48 47 48 01 45 56 44 54 30 40 55 55 54 53 53 53 52 52 51 5° 5° 49 49 48 47 4° 46 44 45 43 44 42 40 50 55 3i 54 3° 53 30 52 3° 51 30 5P 3° 49 3° 48 29 47 29 46 28 45 28 44 26 50 6 00 55 °5 54 t>5 53 06 52 06 51 °7 50 07 49 °8 48 08 47 °7 46 08 45 °8 44 08 6 OO 10 54 35 53 36 52 38 51 38 50 40 49 4i 48 42 47 43 46 44 45 44 44 46 43 46 10 20 54 °4 53 06 52 07 51 09 50 10 49 13 48 14 47 16 46 17 45 18 44 20 43 22 20 30 53 29 52 32 51 34 5° 36 49 39 48 41 47 43 46 46 45 48 44 5° 43 52 42 54 30 40 52 52 51 54 50 57 50 00 49 °3 48 06 47 °9 46 12 45 15 44 18 43 21 42 24 40 50 52 10 51 14 50 18 49 21 4825 47 29 46 32 45 3° 44 4° 43 43 42 47 41 5° 50 7 00 51 27 5° 3i 49 35 48 50 48 40 47 44 46 48 45 52 44 57 44 °l 43 °5 42 09 41 14 7 00 10 50 40 49 46 4? 54 46 59 46 05 45 °9 44 15 43 19 42 24 41 29 4° 35 10 20 49 52 4856 48 02. 47 °7 46 12 45 18 44 23 43 29 42 35 41 40 40 47 39 5? 20 30 48 59 48 04 47 10 46 16 45 21 44 28 43 34 42 40 41 47 4° 54 40 01 39 °° 30 40 48 03 47 09 46 15 45 22 44 28 43 35 42 42' 41 49 40 56 40 04 39 12 38 18 40 50 47 °4 46 10 45 17 44 24 43 32 42 39 41 47 4o 54 40 03 39 1° 38 19 37 27 * 50 8 00 46 00 45 08 44 15 43 23 42 31 41 40 40 47 3 °. 5 l 39 °5 38 14 37 23 36 33 8 00 10 44 54 44 03 43 10 42 19 41 27 4° 37 39 4° 385° 38 05 37 14 36 25 35 35 10 20 43 44 42 53 42 02 41 10 40 21 39 3° 38 4° 37 5° 37 °° 36 12 35 23 34 34 20 30 42 29 41 39 40 48 39 59 39 °9 38 19 37 31 36 42 35 53 35 06 34 18 33 3° 30 40 41 11* 40 22 39 32 38 43 37 55 37 °° 36 18 35 3° 34 44 33 56 33 °9 31 5§ 32 23 40 50 39 49 39 °° 38 12 37 24 36 36 35 49 35 °2 34 15 33 28 32 43 31 13 50 9 OO 38 22 37 34 36 47 36 00 35 14 34 28 33 41 32 57 32 11 31 26 30 42 29 58 9 00 10 36 51 36 04 35 17 34 32 33 47 33 °2 32 17 31 34 3° 5° 30 07 29 24 28 42 10 20 35 16 34 30 33 45 33 °° 32 17 31 32 3° 5° 30 07 29 26 28 44 28 03 27 21 20 30 33 35 32 51 32 08 31 24 30 42 30 00 29 *9 28 38 27 57 27 17 26 38 25 59 30 40 31 5° 31 08 30 25 29 44 29 03 28 23 27 43 27 04 26 25 25 47 25 10 24 32 40 50 30 00 29 19 28 39 27 59 27 20 26 43 26 05 25 28 24 51 24 14 23 38 23 02 50 10 00 28 05 27 27 26 48 26 II 25 34 24 57 24 21 23 46 23 II 22 38 22 03 21 30 lO OO 10 26 05 25 29 24 53 24 18 23 43 23 °9 22 35 22 02 21 29 20 57 20 25 19 43 lO 20 24 02 23 28 22 54 22 21 21 49 21 17 20 45 20 15 19 44 19 14 18 45 18 16 20 30 21 53 21 21 20 50 20 19 19 5° 19 21 18 51 18 24 17 55 17 28 17 02 16 35 30 40 19 4° 19 11 18 42 18 15 17 47 17 21 16 55 16 30 16 04 15 39 15 15 14 51 40 50 17 23 16 56 16 31 16 06 15 42 15 19 14 55 14 32 14 10 13 48 13 26 13 °5 SO 11 00 15 02 14 39 14 16 13 55 13 33 13 14 12 53 12 33 12 14 11 55 II 35 11 17 11 00 10 12 37 12 17 11 58 11 40 II 22. II 05 10 48 10 31 10 15 9 59 9 42 9 27 10 20 10 09 9 54 9 39 9 23 9 09 .8 55 8 41 8 27 8 14 8 01 ■ 7 48 7 36 20 30 7 39 7 27 7 16 7 °4 6 54 6 43 6 32 6 22 6 12 6 01 5 52 5 43 30 40 5 07 4 59 4 52 4 44 4 37 4 29 4 22 4 16 4 °9 4 02 3.55 3 49 40 50 2 33 2 3° 2 26 2 22 2 r8 2 15 2 12 2 08 2 04 2 01 I 5» 1 54 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 71 AZIMUTH OR TRUE BEARING. LATITUDE 16° DECLINATION— SAME NAME AS— LATITUDE. latitude: 16°. Hour Angle. 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hon r Angle. li. 12 m. 00 10 SO 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 •30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 O 00 6 16 9 20 12 18 15 10 17 54 20 30 22 56 25 12 27 20 29 17 31 06 32 45 34 16 35 39 36 53 38 01 39 °i 39 55 4° '43 41 24 42 00 42 32 4= 58 43 20 43 37 43 51 44 00 44 °5 44 °7 44 °5 44 00 43 52 43 4° 43 26 43 °8 42 47 42 23 41 5° 41 27 4° 54 40 18 39 39 3858 38 13 3 2 2 < 36 36 35 41 34 45 33 4° 32 43 31 37 30 28 29 15 28 00 26 41 25 19 23 55 22 27 20 56 19 23 17 47 16 08 14 27 12 44 1° 59 9 I2 7 26 5 34 3 43 I 52 o 00 00 3 00 5 59 11 46 14 3° 17 08 19 38 21 59 24 12 26 17 28 12 29 59 31 36 33 °6 34 28 35 42 36 49 37 49 38 44 39 3i 4° 13 40 50 41 23 41 49 42 12 42 29 42 43 42 54 43 °° 43 °2 43 °l 42 57 42 50 42 38 42 24 42 07 41 47 41 24 40 58 40 29 39 58 39 23 38 44 38 04 37 20 36 33 35 44 34 51 33 5° 32 56 31 55 3° 51 29 42 28 32 27 17 26 01 24 41 23 18 21 53 20 24 18 52 17 19 15 43 14 04 12 23 10 41 85° 7 " 5 24 3 37 I 49 o 00 o 00 2 52 5 43 831 II 14 13 53 16 24 18 49 21 Ob 23 15 25 16 27 08 28 52 30 28 31 57 33 17 34 31 35 39 36 39 37 33 38 21 39 °4 39 41 4° 13 40 41 41 °4 41 22 41 37 41 48 41 54 41 58 41 57 41 54 41 47 41 37 41 23 4i °7 40 48 4° 25 40 00 39 32 39 00 38 26 37 5° 37 1° 36 26 35 41 34 52 34 00 33 06 32 09 31 09 3° °5 2859 27 49 26 37 25 21 24 °3 22 42 21 18 19 52 18 22 16 51 15 17 13 41 12 03 10 23 8 42 6 59 5 16 3 31 I 46 o 00 o 00 2 45 5 27 8 08 10 44 13 16 15 42 18 02 20 14 22 19 24 16 26 06 27 48 29 22 30 50 32 09 33 22 34 29 35 29 30 23 37 11 37 54 38 32 39 °4 39 32 39 56 4° 15 40 30 40 41 40 49 4° 53 4° 53 40 51 40 44 4° 35 40 22 40 06 39 47 39 27 39 °2 38 34 38 04 37 3i 36 55 36 15 35 33 34 49 34 °° 33 1° 32 17 31 20 30 21 29 19 28 14 27 °5 25 55 24 41 23 25 22 06 20 44 19 20 17 52 16 24 14 52 13 19 II 43 10 06 8 27 648 5 °7 3 25 1 43 00 o 00 2 37 5 13 746 10 16 12 41 15 01 17 16 19 24 21 25 23 19 25 06 26 46 28 18 29 44 31 °3 32 14 33 20 34 20 35 14 36 02 3° 45 37 23 37 56 38 24 38 49 39 °8 39 24 39 35 39 44 39 49 39 49 39 47 39 41 39 33 39 21 39 06 38 48 38 27 38 04 37 37 37 °7 36 34 35 59 35 20 34 4° 33 57 33 °9 32 19 31 28 30 32 29 34 28 33 27 3° 26 23 25 14 24 01 22 47 21 3° 20 10 18 48 17 23 15 57 14 27 12 56 11 23 9 49 8 13 6 36 4 58 3 19 1 40 o 00 o 00 2 3° 4 58 7 26 9 49 12 08 14 23 16 32 18 35 20 33 22 23 24 °7 25 44 27 15 28 39 29 56 3i °7 32 13 33 11 34 °6 34 53 35 36 36 15 36 48 37 17 37 41 38 01 38 18 38 3° 38 39 38 44 3845 38 44 38 39 38 32 38 20 38 06 37 48 37 29 37 °5 36 40 36 11 35 38 35 °4 34 27 33 47 33 04 32 19 31 3° 3° 39 29 45 28 48 2748 26 46 25 42 24 33 23 23 22 10 2° 55 19 37 18 17 1° 54 15 29 14 02 12 34 11 03 9 32 7 59 6 24 4 49 3 13 1 37 00 o 00 2 23 4 45 7 °5 9 23 11 37 13 46 15 5° 17 50 19 43 21 3° 23 1° 24 46 26 14 27 3° 28 52 30 02 31 °7 32 04 32 58 33 46 34 29 35 °7 35 41 36 10 36 34 36 55 37 12 37 24 37 34 37 39 37 41 37 4° 37 36 37 29 37 19 37 °6 36 48 36 29 36 07 35 42 35 14 34 42 34 09 33 33 32 54 32 12 31 28 30 40 29 5° 28 57 28 02 27 03 26 03 24 59 23 53 22 44 21 33 20 20 19 °4 17 45 16 25 15 °3 13 38 12 12 10 44 9 15 7 44 6 13 4 4° 3 °7 I 34 o 00 00 2 17 4 33 6 46 8 58 II 05 13 1° 15 1° 17 °4 1854 20 37 22 16 23 47 25 14 26 34 27 48 28 58 30 01 3058 31 51 32 39 33 22 34 °° 34 33 35 °3 35 27 35 48 36 °5 36 19 36 28 36 35 36 37 36 37 36 34 36 27 36 17 36 04 35 48 35 29 35 °S 34 44 34 1° 33 4° 33 13 32 39 32 00 31 19 30 36 29 49 29 00 28 09 27 14 26 17 25 18 24 17 23 II 22 05 20 56 19 44 18 30 17 14 15 55 14 35 13 14 II 50 10 25 8 59 6 02 4 32 3 01 I 31 o 00 4 20 6 28 8 34 10 36 12 36 14 3° 16 20 18 06 19 46 21 22 22 51 24 15 25 34 26 47 27 51 28 56 29 54 30 46 31 32 32 15 32 53 33 27 33 56 34 21 34 42 35 °° 35 14 35 24 35 31 35 34 35 35 35 31 35 25 35 15 35 °4 34 48 34 3° 34 09 33 46 33 19 32 51 32 19 31 45 31 07 30 28 29 45 29 00 28 11 27 21 26 28 25 33 24 36 23 35 22 32 21 27 20 19 19 09 17 58 16 44 15 28 14 10 12 51 II 29 10 07 8 42 7 17 5 51 4 24 2 57 1 28 00 00 2 04 4 08 6 10 8 10 10 08 12 02 13 53 15 39 17 21 1858 20 29 21 57 23 18 24 35 25 46 26 52 27 53 28 49 29 4° 30 27 31 10 31 47 32 20 32 5° 33 15 33 36 33 54 34 °9 34 19 34 26 34 31 34 31 34 28 34 23 34 14 34 °3 33 48 33 31 33 1° 32 48 32 23 3i 54 31 23 3° 5° 3° 13 29 35 2853 28 09 27 22 26 34 25 41 24 48 23 52 22 53 21 52 20 48 19 43 18 35 17 25 16 14 14 59 13 44 12 27 II 07 9 47 8 26 7 °3 5 4° 4 16 2 51 I 25 o 00 o 00 I5 2 3 5° 5 54 7 48 9 4i 11 30 13 16 14 58 1° 37 18 10 19 38 21 03 22 22 23 36 24 46 25 51 26 51 27 45 28 36 29 22 30 04 30 42 31 14 31 44 32 09 32 3° 32 49 33 04 33 14 33 22 33 26 33 28 33 25 33 21 33 12 33 02 32 48 32 32 32 12 31 5° 31 26 3° 58 30 28 29 55 29 21 2843 28 02 27 20 2° 34 25 46 24 56 24 04 23 09 22 11 21 12 20 10 19 06 18 01 i°53 15 44 14 31 13 18 12 03 10 47 9 29 8 10 6 50 5 29 4 °7 1 5 ? 3 46 5 38 7 27 9 14 10 59 12 41 14 18 15 53 17 23 18 49 21 27 22 40 23 48 24 50 25 49 26 44 27 33 28 18 28 59 29 37 30 09 3° 39 31 °4 31 25 31 44 31 59 32 10 32 18 32 23 32 24 32 22 32 18 32 11 32 00 31 48 31 32 31 14 3° 53 30 28 30 02 29 32 29 02 28 27 27 50 27 ir 26 30 25 46 25 00 24 11 23 20 22 27 21 30 20 33 19 33 18 31 17 27 16 21 15 14 14 03 12 52 11 40 10 26 9 10 7 54 636 5 18 3 59 2 40 r 20 12 m. 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 SO OO lO 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 72 AZIMUTH OR TRUE BEARING. LATITUDE 16°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 16°. Hour Angle. 60= 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o ' / » ■ / ' / / 1 / / / h. m. 00 O 00 00 00 00 00 00 00 00 00 00 00 O OO 10 I 48 1 42 138 1 33 1 28 1 23 1 20 1 15 1 11 1 07 1 04 10 20 3 35 3 25 3 15 3 06 2 5° 2 48 2 39 2 31 2 22 2 15 2 06 20 30 5 22 5 06 4 52 4 38 4 24 4 11 3 58 3 45 3 32 3 21 3 11 30 40 7 07 6 47 6 27 6 09 5 51 5 33 5 16 4 58 4 42 4 27 4 12 40 50 8 48 8 24 8 00 7 37 7 15 6 53 6 32 6 11 5 51 5 31 5 12 50 1 00 10 29 10 00 9 3i 9 °4 8 38 8 12 7 47 7 23 6 59 6 35 613 1 00 io 12 06 II 33 11 01 10 29 9 59 9 3° 9 01 8 33 8 06 7 38 7 13 10 20 13 40 l3 °4 12 27 11 51 11 18 10 45 10 13 9 40 9 10 8 40 8 10 20 30 15 11 14 3° 13 50 13 12 12 34 11 57 11 22 10 47 10 13 9 40 9 07 30 40 16 38 15 53 15 11 14 28 13 48 13 08 12 29 11 51 11 14 io 37 10 01 40 50 18 00 17 13 16 27 15 42 14 59 14 16 13 33 12 53 12 13 11 33 10 55 , 50 2 OO 19 19 18 29 17 40 16 53 16 06 15 20 14 36 13 52 13 09 12 27 11 46 2 OO 10 20 34 19 41 18 50 17 59 17 11 16 22 15 35 14 48 14 °3 13 18 12 34 IO 20 21 44 20 49 19 55 19 °3 18 II 17 21 16 32 15 43 14 56 14 c8 13 22 20 30 22 50 21 53 20 58 20 03 19 10 18 17 17 26 1° 34 15 44 14 55 14 06 30 40 23 51 22 53 21 55 21 00 20 04 19 °9 18 16 17 23 18 08 16 31 15 39 14 49 40 50 24 48 23 49 22 50 21 52 ' 20 55 19 59 19 04 17 15 16 21 15 29 50 3 00 25 41 24 40 23 40 22 41 21 43 20 45 19 49 1852 17 57- 17 01 16 08 3 00 10 26 30 25 28 24 27 23 27 22 27 21 28 20 30 19 33 18 3° 17 38 16 43 IO 20 27 15 26 12 25 10 24' 09 23 08 22 08 21 08 20 09- 19 11 18 13 17 16 20 30 27 55 26 52 25 49 24 47 23 45 22 44 21 43 20 44 19 44 18 46 17 47 30 40 28 32 27 28 26 24 25 22 24 19 23 17 22 16 21 15 20 15 19 15 18 15 40 50 29 04 28 00 26 56 25 53 24 5° 23 47 22 46 21 44 20 43 19 42 18 41 50 4 00 29 34 28 29 27 25 26 21 25 17 24 14 23 12 22 10 21 08 20 06 19 °5 4 00 10 29 58 28 54 27 49 26 45 25 41 2438 23 35 22 32 21 30 20 28 19 26 10 20 30 20 29 16 28 11 27 07 26 03 24 59 23 56 22 53 21 50 20 47 19 45 20 30 30 39 29 34 28 29 27 25 26 21 25 17 24 13 23 1° 22 07 21 04 20 02 30 40 30 53 29 49 28 44 27 40 26 36 25 32 24 29 23 25 22 21 21 18 20 16 40 50 31 05 30 01 28 56 27 52 26 48 25 44 24 41 23 36 22 33 21 30 20 27 50 5 00 31 13 30 10 29 05 28 02 2° 57 25 54 24 50 23 46 22 43 21 39 20 36 5 00 10 31 19 3° 15 29 11 28 07 27 04 26 00 24 57 23 54 22 50 21 46 20 43 10 20 31 21 30 17 29 13 28 10 27 07 26 04 25 °l 23 57 22 55 21 51 20 47 20 30 31 19 30 16 29 13 28 10 27 08 26 05 25 03 24 00 22 57 21 54 20 51 30 40 31 16 30 13 29 11 28 09 27 06 26 04 25 02 23 58 22 56 21 53 20 50 40 50 31 09 30 07 29 °5 28 03 27 01 26 00 24 58 23 55 22 54 21 51 20 48 50 6 00 30 59 29 58 28 56 27 55 26 54 25 53 24 51 23 5° 22 48 21 46 20 44 6 00 10 30 47 29 47 28 46 27 45 26 45 25 44 24 43 23 42 22 41 21 39 20 38 IO 20 3° 32 29 33 28 32 27 33 26 32 25 32 24 32 23 31 22 31 21 30 20 30 20 30 3° 14 29 15 28 15 27 17 26 17 25 18 24 19 23 19 22 20 21 20 20 19 30 40 29 54 2856 27 57 26 58 26 00 25 01 24 03 23 °4 22 05 21 06 20 07 40 50 29 31 28 33 27 35 26 38 25 40 24 43 23 45 22 47 21 49 20 51 19 52 50 7 00 29 05 28 09 27 12 26 15 25 19 24 23 23 25 22 28 21 31 20 33 19 3° 7 00 IO 28 37 27 42 26 46 25 50 24 54 23 50 23 °3 22 07 21 11 20 14 19 18 10 20 28 06 27 12 26 17 25 23 24 28 23 33 22 39 21 44 20 49 19 53 1858 20 30 27 34 26 40 25 47 24 53 23 59 23 °° 22 11 21 17 20 24 19 30 18 35 30 40 26 58 26 06 25 13 24 21 23 28 22 35 21 43 20 50 19 58 19 °5 18 11 40 50 26 20 25 29 24 38 23 46 22 54 22 03 21 13 20 21 19 29 183° 17 47 50 8 00 25 40 24 49 23 59 23 09 22 20 21 29 20 40 19 50 19 00 18 08 17 18 8 00 IO 24 57 24 08 23 20 22 31 21 43 20 53 20 05 19 16 18 28 17 39 16 50 IO 20 24 12 23 25 22 37 21 49 21 03 20 16 19 29 18 40 17 54 17 18 17 06 16 19 20 30 23 24 22 39 21 52 21 07 20 21 19 36 18 50 18 03 16 32 15 47 30 40 22 35 21 50 21 06 20 22 19 38 18 54 18 10 17 25 16 41 15 5° 15 12 40 50 21 43 21 00 20 17 19 35 18 52 18 09 17 28 16 44 16 02 15 19 14 37 50 9 00 20 50 20 08 19 26 18 46 18 05 17-24 16 44 16 03 15 22 14 41 14 10 9 00 10 19 54 19 14 18 34 17 55 17 15 16 37 15 58 15 19 14 40 14 00 13 22 10 20 i°55 18 17 17 4" 16 08 16 25 15 47 15 11 -14 33 13 56 13 20 12 42 20 30 17 55 17 18 16 43 15 32 14 57 14 22 13 47 13 12 12 36 12 01 30 40 16 52 16 19 15 44 15 12 14 38 14 °5 13 31 12 58 12 25 11 52 11 19 40 50 15 49 15 17 14 45 14 14 -13 42 13 11 12 40 12 08 11 38 11 07 10 36 50 10 00 14 43 14 13 13 44 13 15 12 45 12 16 11 47 11 18 10 49 10 20 9 5i 10 00 10 13 3° 13 °9 12 40 12 14 11 46 11 19 1° 53 10 26 9 59 9 32 9 06 IO 20 12 27 12 02 II 3° 11 12 10 46 ro 22 9 57 9 32 9 08 8 43 8 19 20 30 11 17 10 54 10 30 10 08 9 45 9 2 3 9 01 8 39 8 16 7 54 7 32 30 40 10 04 9 44 9 24 9 °4 8 43 8 23 8 °3 7 43 7 24 7 04 6 43 40 50 8 52 8 34 8 15 7 58 7 4° 7 22 7 05 6 47 6 30 6 12 5 54 50 11 00 7 38 7 22 7 07 6 51 636 6 21 6 06 5 50 5 36 5 21 5 06 11 00 10 6 23 6 10 5 57 5 44 5 3i 5 18 5 05 4 53 4 40 4 27 4 16 10 20 5 07 4 57 4 47 4 36 4 25 4 15 4 06 3 55 3 45 3 35 3 24 20 30 3 51 3 43 3 36 3 28 3 19 3 12 3 04 2 57 2 49 2 42 2 34 SO 40 2 35 2 29 2 23 2 18 2 13 2 08 2 03 1 58 1 52 1 48 I 43 40 50 1 17 1 15 1 12 1 09 1 07 1 04 I 02 59 57 53 51 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and' the supplement of the tabulated azimuth is to be taken for the required true bearing. 73 AZIMUTH OR TRUE BEARING. LATITUDE 17°. DECLINATION— SAME NAMB AS— LATITUDE. LATITUDE 17°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / 1 / f / / r / t / / ' li. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 18 05 15 50 14 °3 26 28 12 36 11 24 10 24 9 31 8 46 8 08 7 33 14 48 7 02 6 36 10 20 32 56 29 24 23 59 21 51 20 03 18 29 17 05 15 53 13 51 12 58 20 30 43 51 39 54 36 29 33 28 3° 5° 28 31 26 28 24 38 22 59 21 31 20 11 I858 30 40 51 34 47 42 44 13 41 04 38 13 35 39 33 19 31 13 29 17 27 32 25 56 24 29 40 50 57 03 53 27 50 07 47 °o 44 08 41 3° 39 "4 36 49 34 45 32 49 31 °3 29 24 50 1 00 61 01 57 43 54 3° 51 38 48 51 46 15 43 49 41 32 39 24 37 23 35 31 33 45 1 00 io <2 58 60 56 58 03 55 1° 5238 50 07 47 44 45 28 43 20 4° 39 41 19 39 24 37 36 IO 20 66 11 63 25 60 44 §8 08 55 39 53 15 50 57 48 45 44 39 42 44 4° 55 20 30 67 52 65 20 62 51 60 26 5» 05 55 49 53 37 51 29 49 27 47 29 45 35 43 46 30 40 69 10 66 50 64 31 62 16 60 03 57 54 55 48 53 47 51 48 49 54 48 02 46 15 40 50 70 11 68 00 °5 5i °3 44 61 39 59 37 57 37 55 4° 53 46 51 55 50 07 48 23 SO 2 00 7° 58 6855 66 54 64 55 62 57 61 01 59 °8 57 16 55 26 53 4o 51 55 50 13 2 OO IO 71 34 69 39 °7 45 65 53 64 00 62 11 60 23 58 35 56 51 55 °8 ' 53 27 51 48 IO 20 72 00 70 12 68 25 6638 °4 52 63 08 61 24 62 16 59 42 58 01 56 22 54 44 53 °8 20 30 72 20 70 38 68 56 67 14 °5 34 63 54 60 38 59 °i 57 26 55 51 54 18 30 40 72 34 70 57 69 21 67 43 66 07 64 32 62 57 61 23 59 5° 58 18 56 47 55 16 40 50 72 43 71 10 69 38 68 06 66 34 65 °2 63 31 62 01 60 31 59 °2 57 34- 56 05 SO 3 00 72 47 71 18 °9 5i 68 22 66 53 65 25 63 58 62 31 61 04 59 38 58 13 5648 3 OO 10 72 47 71 23 6958 6833 67 08 65 43 64 19 62 55 61 31 60 08 58 44 57 22 IO 20 72 46 71 23 70 01 68 39 67 17 65 56 64 34 63 13 61 52 60 31 59 » 57 50 20 30 72 39 71 20 70 01 6843 67 23 66 04 64 45 63 27 62 08 60 49 59 31 58 13 30 40 72 31 71 14 69.58 68 41 67 25 66 08 64 52 63 36 62 19 61 03 59 46 5830 40 50 72 20 71 06 69 52 63 37 67 22 66 08 64 54 63 40 62 26 61 11 59 57 58 43 50 4 OO 72 07 70 55 69 42 68 30 67 18 66 05 64 53 63 41 62 29 61 16 60 04 5852 4 OO 10 71 51 70 41 69 30 68 21 67 10 65 59 64 49 6338 62 28 61 17 60 06 5856 10 20 71 33 70 25 69 17 68 08 66 59 65 51 64 41 63 32 62 24 61 15 60 05 5856 20 30 71 14 70 07 69 01 °7 54 66 46 6538 64 31 63 24 62 16 61 08 60 01 58 53 30 40 70 53 6948 68 42 67 36 66 30 65 24 64 18 63 13 62 06 61 00 59 53 58 47 Vl'- 40 SO 70 30 69 26 68 21 67 17 66 13 65 08 64 03 62 58 61 53 60 48 59 43 58 38 •• '-.-'\. 50 5 00 70 05 69 01 °7 59 «55 65 52 64 48 63 45 62 41 61 37 60 33 59 29 58 25 5 OO 10 69 37 6836 67 34 6631 65 29 64 27 63 24 62 22 61 19 60 16 59 13 58 10 IO 20 69 09 68 09 67 07 66 06 65 04 64 03 63 01 62 00 6058 59 56 58 53 57 52 20 30 6839 67 39 66 39 65 38 64 37 63 36 62 36 61 35 60 34 59 33 5831 57 31 30 40 68 07 67 07 66 08 65 08 64 08 63 08 62 08 61 08 60 08 59 °8 5807 57 08 40 50 67 32 6633 65 35 64 36 63 37 62 37 61 38 60 39 59 4° 58 4° 57 41 56 4i 50 6 00 6656 65 58 65 00 64 01 63 °3 62 04 61 06 60 07 59 °8 58 10 57 11 56 12 6 OO IO 66 18 65 21 64 22 63 25 62 27 61 29 60 31 59 33 58 35 57 36 5638 55 40 IO 20 65 38 64 41 °3 43 62 46 61 49 60 52 59 54 58 57 57 59 57 °l 56 04 55 °6 20 30 64 56 63 58 63 01 62 04 61 08 60 11 59 14 58 17 57 '20 56 23 55 26 54 28 30 40 64 11 63 14 62 17 61 20 60 24 59 27 58 3; 57 35 5638 55 42 54 46 53 49 40 50 63 23 62 27 61 31 °° 35 59 38 58 43 57 46 5650 55 5» 54 58 54 °3 53 °7 50 7 00 62 34 61 38 60 42 59 45 5850 57 54 56 58 56 °3 55 °8 54 12 53 16 52 21 7 OO 10 61 42 60 46 59 5° 58 53 57 58 57 03 56 08 55 13 54 18 53 23 52 28 5i 33 10 20 60 46 59 5° 58 55 ' 57 59 57 °5 56 09 55 15 54 20 53 25 52 3° 51 36 50 41 20 30 59 48 58 53 57 58 57 °2 56 07 55 13 54 18 53 23 52 28 51 34 50 40 49 46 30 40 58 47 57 5i 56 57 56 01 55 °7 54 12 53 17 52 24 51 30 5° 36 49 42 48 48 40 50 57 42 56 47 55 52 54 57 54 03 53<=8 52 14 . 51 20 5° 27 49 34 48 40 47 47 50 8 00 56 34 55 38 54 44 53 49 52 54 52 01 51 °7 5° 14 49 21 48 28 47 35 46 43 8 OO 10 55 21 54 26 53 32 52 37 51 44 5° 50 49 57 49 04 48 11 47 19 46 26 45 35 IO 20 54 04 53 09 52 15 51 21 50 27 49 34 48 41 47 5° 46 57 46 06 45 14 44 22 20 30 52 44 51 49 50 55 50 01 49 08 48 15 47 23 46 31 45 39 44 48 43 57 43 °7 30 40 51 19 50 23 49 3° 48 36 47 44 46 51 45 59 45 08 44 17 43 27 42 36 41 47 40 50 49 47 48 53 47 59 47 07 46 15 45 23 44 31 43 4i 42 50 42 01 41 12 .40 22 50 9 00 48 11 47 18 46 25 45 32 44 40 43 49 42 58 42 09 41 19 4° 31 39 42 38 54 9 OO 10 46 30 45 3° 44 44 43 51 43 01 42 10 41 21 40 32 39 43 3856 38 07 37 21 IO 20 44 41 43 49 4258 42 06 41 16 40 27 39 38 38 5° 38 03 37 16 36 29 35 44 20 30 42 47 41 56 41 05 40 14 39 26 3838 37 50 37 03 36 17 35 3i 34 46 34 02 30 40 40 46 39 55 39 06 38 16 37 29 36 42 35 55 35 10 34 26 33 42 32 58 32 15 40 50 3838 37 48 37 01 3° 13 35 26 34 40 33 55 33 12 32 28 31 46 31 04 30 24 50 10 00 36 22 35 34 34 47 34 01 33 17 32 33 31 50 31 08 30 27 29 47 29 06 28 27 10 00 10 33 59 33 12 32 28 31 45 31 03 30 21 29 39 28 59 28 19 27 41 27 02 26 26 10 20 31 28 30 44 30 02 29 19 2839 28 00 27 21 26 43 25 57 25 30 24 54 24 20 20 30 28 48 28 07 27 27 26 49 26 11 25 33 24 58 24 23 23 48 23 15 22 42 22 10 30 40 26 02 25 24 24 46 24 10 23 35 23 01 22 28 21 56 21 25 20 54 20 24 19 55 40 50 23 07 22 33 21 58 21 25 20 54 20 24 19 54 19 24 18 56 18 29 18 01 17 36 50 11 00 20 04 *9 33 19 04 18 34 18 07 17 40 17 14 16 49 16 23 16 00 15 36 15 13 11 00 10 16 55 16 29 16 03 15 38 15 14 14 52 14 30 14 08 13 46 13 26 13 °5 12 46 10 20 13 40 13 19 12 58 12 38 12 18 " 59 11 41 11 23 II 06 10 49 1° 33 10 17 20 30 10 21 10 04 9 48 9 32 9 18 9 02 8 48 8 35 8 22 S3 7 57 7 45 30 40 656 6 45 6 33 6 23 6 13 6 03 5 54 5 45 5 36 5 19 5 11 40 50 3 29 3 23 3 18 3 12 3 °7 3 02 2 58 2 53 2 48 2 44 2 40 2 36 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian„the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 74 AZIMUTH OR TRUE BEARING. LATITUDE 17°. DECVNATION- -SAME NAME AS— LATITUDE. LATITUDE 17°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. It. in. o / / / / / / / / / / / / n. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 6 ii 5 48 5 29 5 10 4 53 4 38 4 23 8 41 4 09 3 57 3 45 7 28 3 34 3 24 lO 20 12 II II 29 10 50 10 ,13 9 41 9 10 815 7 51 7 06 6 46 J 20 30 17 52 16 51 15 56 15 °4 14 17 13 33 12 52 12 14 n 38 11 04 10 33 10 03 30 40 23 07 21 52 20 43 19 38 1839 17 43 16 51 16 03 15 17 14 34 13 54 13 15 40 50 27 52 26 27 25 07 23 52 22 43 21 38 20 36 19 39 18 45 17 53 17 °4 16 18 50 1 00 32 07 3° 34 29 07 27 45 26 27 25 14 24 06 23 00 21 59 21 00 20 05 19 12, 1 OO 10 35 52 34 15 32 42 31 14 29 52 28 33 27 19 26 08 25 °o 23 5° 22 55 21 56 10 20 39 °9 37 29 35 54 34 23 32 56 31 34 3° 15 29 00 27 47 26 39 25 33 24 29 20 30 42 01 40 21 38 45 37 12 35 43 34 17 32 56 31 37 30 21 29 09 27 59 26 52 30 40 44 31 42 51 41 14 39 4i 38 10 36 44 35 20 33 59 32 42 31 26 3° 14 29 04 40 50 46 41 45 02 43 26 41 52 40 22 38 55 37 3° 36 08 34 48 33 31 32 17 31 °4 50 2 00 48 33 46 56 45 21 43 49 42 19 40 51 39 26 38 03 3° 43 35 25 34 °9 32 55 2 OO 10 50 JO 48 35 47 01 45 31 44 01 42 35 41 10 39 47 38 26 37 °7 35 5i 34 36 10 20 51 34 50 01 48 30 46 59 45 32 44 06 42 42 41 20 39 58 38 40 37 23 36 07 20 30 52 45 5' 14 49 46 48 18 46 52 45 27 44 °4 42 42 41 21 40 03 3846 37 30 SO 40 53 47 52 19 50 51 49 25 48 01 46 37 45 'S 43 54 42 34 41 17 40 00 38 43 40 50 54 39 53 13 51 48 50 24 49 01 47 39 46 18 44 58 43 39 42 22 41 06 39 49 50 3 OO 55 23 54 00 52 37 51 15 49 53 48 33 47 13 48 01 45 54 44 37 43 20 42 04 40 49 3 OO 10 56 00 54 39 53 17 51 58 5° 38 49 19 49 5» 46 43 45 27 44 11 42 55 41 41 10 20 56 3° 55 " 53 52 52 34 5 1 : 5 48 42 47 25 48 01 46 10 44 55 43 40 42 27 20 30 56 55 55 38 54 21 53 "4 51 4» 50 32 49 17 46 47 45 33 44 20 43 "7 30 40 57 15 55 59 54 44 53 28 52 13 5o 59 49 45 *i 3 J 47 18 46 05 44 53 43 41 40 50 57 29 56 16 55 01 53 48 52 34 51 21 5° °9 4856 47 44 46 33 45 21 44 1° 50 4 00 57 39 56 27 55 15 54 °3 52 51 5i 39 50 28 49 16 48 05 46 55 45 44 44 33 4 OO 10 57 45 56 34 55 24 54 13 53 02 51 52 50 42 49 32 48 21 47 13 46 03 44 53' 10 20 57 46 56 37 55 29 54 19 53 10 52 00 5° 52 49 43 48 34 47 25 46 16 45 °8 20 30 57 45 56 37 55 30 54 22 53 14 52 06 5°58 49 49 48 42 47 34 46 27 45 19 30 40 57 4° 56 34 55 27 54 20 53 13 52 07 51 °° 49 53 48 46 47 4° 4° 33 45 26 40 50 57 32 56 27 55 21 54 15 53 09 52 04 5° 59 49 52 48 46 47 41 46 35 45 29 50 5 00 57 20 56 16 55 12 54 07 53 03 51 58 5° 54 49 48 48 43 47 38 45 34 45 29 5 00 10 57 07 56 03 55 00 53 56 52 52 51 48 5° 45 49 4 1 48 37 47 34 46 29 45 25 10 20 56 49 55 46 54 44 53 41, 5238 51 3° 5° 33 49 3° 48 27 47 25 46 21 45 18 20 30 56 29 55 27 54 26 53 24 52 22 51 20 50 18 49 16 48 14 47 12 46 09 45 °7 30 40 56 06 55 06 54 05 53 °4 52 03 51 01 50 01 4» 59 47 58 46 57 45 55 44 53 40 50 55 4i 54 41 53 41 52 41 5i 41 50 40 49 40 48 39 47 39 4638 45 38 44 37 50 6 00 55 13 54 13 53 14 52 14 51 15 50 16 49 16 48 16 47 16 46 17 45 17 44 17 6 OO 10 54 41 53 43 52 44 51 46 5° 47 49 48 48 5° 47 5° 46 52 45 52 44 53 43 54 lO 20 54 08 53 10 52 12 51 14 50 16 49 19 48 45 48 21 47 22 46 23 45 25 44 26 43 27 20 30 53 32 52 35 51 37 50 40 49 42 47 48 46 50 45 52 44 55 43 57 42 59 30 40 52 52 51 56 5° 59 50 02 49 °5 48 09 47 12 4° 15 45 18 44 22 43 25 42 27 40 50 52 11 51 15 50 18 ,49 22 48 26 47 3° 46 34 45 37 44 42 43 45 42 49 41 53 SO 7 OO 51 26 50 31 49 34 48 48 48 39 47 43 46 48 45 53 44 57 44 01 43 °7 42 11 41 15 7 00 10 50 37 49 43 47 53 46 57 46 03 45 °9 44 13 43 19 42 25 41 29 4° 34 lO 20 49 47 48,53 47 58 47 04 46 09 45 18 45 15 44 21 43 28 42 33 41 39 40 45 39 51 20 30 48 53 47 59 47 °5 46 11 44 24 43 3i 42 37 41 44 4° 51 39 58 39 °5 30 40 47 55 47 02 46 09 45 16 44 23 43 30 42 38 41 45 4° 52 40 00 39 °8 38 16 40 50 46 55 46 02 45 10 44 17 43 25 42 33 41 41 40 49 39 58 39 °7 38 15 37 23 SO 8 OO 45 5° 44 59 44 07 43 14 42 23 41 33 4° 42 3 § 5 S 3848 39 °° 38 09 37 18 36 27 8 00 10 44 43 43 52 43 °° 42 09 41 19 40 28 39 39 37 5? 37 °9 36 19 35 3° 10 20 43 32 42 41 41 52 41 00 40 II 39 21 38 32 37 43 3656 36 05 35 16' , 34 28 20 30 42 16 41 27 40 08 40 37 39 43 3831 38 59 38 10 37 23 36 34 35 45 34 58 34 1° 33 23 30 40 40 57 39 20 37 44 36 55 36 09 35 22 34 34 33 48 33 °l 32 16 40 50 39 35 3846 37 58 37 11 36 24 35 38 34 5i 34 °° 33 20 32 35 31 49 31 °5 50 a 00 38 07 37 20 36 33 35 46 35 01 34 16 33 3i 32 46 32 02 31 18 3° 34 29 51 28 34 9 00 10 36 35 35 49 35 04 34 19 33 34 32 5° 32 07 31 23 30 40 29 58 29 15 lO 20 34 59 ' 34 15 33 3° 32 46 32 04 31 21 3° 39 29 57 29 15 28 35 27 54 27 14 20 30 33 18 32 35 31 53 31 10 30 29 29 47 29 07 28 27 27 47 27 08 26 28 25 5° 30 40 31 32 30 52 30 11 29 3° 28 50 28 11 27 32 26 53 26 15 25 38 25 00 24 23 40 50 29 43 29 °4 28 24 27 45 27 07 26 29 25 53 25 16 24 40 24 °4 23 28 22 54 50 10 OO 2748 27 12 26 34 25 57 25 21 24 45 24 10 23 35 23.01 22 28 21 54 21 21 10 00 10 25 49 25 14 2438 24 04 23 30 22 56 22 24 21 51 21 19 20 48 20 16 19 46 10 20 23 47 23 13 22 41 22 07 21 36 21 05 20 35 20 04 19 35 19 °5 18 36 IB 09 16 28 20 30 21 38 21 08 20 38 20 07 19 38 19 10 18 42 18 14 17 47 17 20 i fi 53 30 40 19 26 18 58 18 31 18 03 17 37 17 11 16 45 16 21 15 56 15 32 15 07 14 44 40 50 17 09 16 45 16 20 15 56 15 32 15 °9 14 46 14 25 14 °3 13 39 13 16 12 53 50 n OO 14 51 14 28 14 07 13 45 13 25 13 °4 12 45 12 25 12 06 11 48 11 29 II 12 11 00 10 12 28 12 09 11 5i " 33 11 16 10 59 10 41 10 25 10 09 9 54 9 37 9 22 lO 20 10 02 9 46 9 31 9 17 9 °3 ? 5 S 8 36 8 23 8 10 7 57 7 44 7 32 20 30 7 33 7 22 7 X J ° 59 6 49 6 38 6 28 6 18 6 08 5 58 5 49 5 40 30 40 5 03 4 56 448 4 41 4 33 4 26 4 20 4 13 4 06 4 00 3 53 3 47 40 50 ,2 32 • 2 28 2 25 2 21 2 17 2 13 2 11 2 07 2 04 2 00 1 57 1 54 50 12 1 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 75 AZIMUTH OR TRUE BEARING. LATITUDE 17°. declination— same; name as -latitude. LATITUDE 17°. Hour Angle. 48° 49° 50° 51° 53° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. 10 11 12 in. 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 OO 00 3 14 3 05 6 27 6 09 9 35 909 12 38 12 05 15 34 14 53 18 22 17 34 21 00 20 07 23 29 22 31 25 47 24 45 27 56 26 50 29 54 28 46 31 43 33 23 34 53 36 15 37 3° 38 35 39 35 40 28 41 13 41 54 42 29 42 59 43 23 43 44 44 00 44 12 44 19 44 24 44 24 44 20 44 i4 44 °4 43 52 43 3° 20 49 19 16 17 40 16 02 14 21 12 38 10 54 9 °7 7 20 5 3i 3 41 1 5° o 00 3° 34 32 11 33 41 35 °3 36 16 37 22 38 22 39 15 40 02 40 42 41 18 41 49 42 14 42 35 42 52 43 °5 43 13 43 17 43 19 43 17 43 " 43 °3 42 49 42 35 43 16 42 17 42 55 41 55 42 29 4i 31 42 01 41 °3 41 31 40 33 4° 57 40 00 40 20 39 24 39 40 38 45 38 57 38 °3 38 12 37 19 37 23 36 32 36 32 35 4i 35 38 34 47 34 40 33 52 33 4° 32 53 32 37 31 5° 31 31 3° 44 30 21 29 36 29 °7 28 25 27 53 27 10 26 33 25 54 25 12 24 34 23 47 23 11 22 19 21 45 20 17 1845 17 12 15 37 13 58 12 18 10 36 8 52 7 08 5 22 3 35 1 47 o 00 00 2 57 § 52 8 44 11 32 14 14 16 48 19 15 21 34 23 45 25 48 27 4i 29 26 31 02 32 31 33 52 35 04 36 10 37 09 38 03 38 5° 39 31 40 07 40 38 41 05 41 26 41 43 41 58 42 07 42 12 42 14 42 12 42 08 42 00 41 48 4i 34 41 16 40 56 40 32 40 05 39 3° 39 °4 38 28 37 51 36 26 35 39 34 49 33 58 33 02 32 04 31 °3 30 00 2853 27 42 26 29 25 14 23 56 22 34 21 II 19 45 18 16 16-45 15 11 13 36 II 58 10 19 8 38 656 5 13 3 29 1 44 o 00 5 35 8 20 11 00 13 36 16 04 18 26 20 41 22 48 24 47 26 37 28 20 29 55 31 21 32 41 33 54 34 59 35 58 36 52 37 39 38 21 38 57 39 29 39 56 40 19 40 36 40 50 41 00 41 07 41 09 41 08 41 04 4° 57 40 46 40 33 40 16 39 5° 39 33 39 °7 38 39 38 07 37 33 36 55 36 16 35 33 34 47 33 59 33 °8 32 13 31 17 3° 17 29 14 28 09 27 00 25 48 24 35 23 18 21 59 20 38 19 13 17 46 16 18 14 46 13 14 11 39 10 02 I 21 6 45 5 05 3 23 1 42 o 00 00 2 40 5 20 7 57 10 31 13 00 15 22 17 39 19 49 21 52 23 47 25 35 27 15 28 48 30 14 31 32 32 44 33 5° 34 48 35 41 36 29 37 II 37 48 38 20 38 47 39 1° 39 29 39 43 39 54 40 01 40 04 40 04 40 01 39 54 39 45 39 3i 39 15 3856 38 34 38 09 37 42 37 II 3638 36 00 35 22 34 40 33 56 33 08 32 17 31 25 30 29 29 30 28 29 27 25 26 18 25 08 23 56 22 41 21 24 20 04 18 42 17 17 15 51 14 22 12 51 11 19 9 45 8 10 6 33 4 5° 3 17 1 39 o 00 00 2 34 5 05 7 35 10 03 12 24 14 42 1° 54 1859 20 58 22 50 24 34 26 12 27 43 29 07 30 25 31 36 32 4° 33 38 34 32 35 20 36 01 3638 37 1° 37 38 38 02 38 21 383° 38 47 38 55 38 59 39 °° 38 57 38 51 38 42 38 29 38 14 37 55 37 35 37 11 36 44 36 14 35 4i 35 °5 34 28 33 47 33 °3 32 17 31 28 30 36 29 41 28 44 27 44 26 42 25 36 24 28 23 18 22 04 20 49 19 32 18 II 16 49 15 24 13 58 12 30 11 00 9 28 7 5° 6 22 4 47 3 *2 1 36 o 00 00 2 26 4 52 7 15 9 35 11 52 14 °3 16 10 18 10 20 05 21 54 23 36 25 12 26 40 28 02 29 18 30 29 31 32 32 3° 33 23 34 II 34 53 35 30 36 03 36 31 3fi 54 37 14 37 3° 37 42 37 49 37 54 37 56 37 53 37 48 37 4° 37 28 37 13 3° 55 36 36 35 13 35 46 35 18 34 46 34 11 33 34 32 54 32 11 31 27 3° 38 29 48 28 54 27 58 26 59 25 58 24 54 23 48 22 39 21 28 20 15 1858 17 4° 16 20 14 58 13 34 12 08 10 41 9 12 7 43 6 11 4 39 3 07 1 33 o 00 o 00 2 19 4 39 5 55 9 °9 11 20 13 26 15 28 17 25 19 16 21 00 22 39 24 13 25 39 27 00 28 14 29 23 30 26 31 24 32 16 33 °3 33 45 34 22 34 55 35 23 35 47 36 08 36 24 35 36 36 44 36 50 3° 52 36 5° 36 45 3° 38 36 27 36 13 35 5° 35 37 35 14 34 49 34 21 33 5° 33 1° 32 40 32 01 31 19 30 3° 20 48 28 59 28 07 27 13 26 15 25 16 24 13 23 08 22 01 20 51 19 40 18 26 17 10 15 5-2 14 32 13 1° II 47 10 22 8 55 7 39 00 4 30 3 01 1 3i 00 00 2 13 4 25 636 844 10 50 12 50 14 47 16 39 18 27 20 oS 21 44 23 14 24 39 25 58 27 10 28 18 29 20 30 17 31 09 31 55 32 37 33 14 33 47 34 15 34 4° 35 °o 35 16 35 30 35 38 35 45 35 47 35 46 35 42 35 35 35 25 35 12 34 55 34 37 34 15 33 50 33 23 32 54 32 21 31 45 31 08 30 27 29 44 28 5 8 28 10 27 19 26 26 25 3° 24 32 23. 31 22 28 21 22 20 16 19 °5 17 53 16 39 15 24 14 05 12 37 11 26 10 03 8 39 7 15 5 49 4 22 2 55 1 28 00 00 2 07 4 13 6 18 8 21 10 20 12 16 14 08 15 55 17 39 19 17 20 50 22 18 23 4° 24 56 26 08 27 15 28 15 29 11 30 02 30 48 31 30 32 07 32 39 33 °9 33 33 33 53 34 10 34 24 34 33 34 40 34 43 34 42 34 39 34 32 34 23 34 II 33 55 33 37 33 17 32 53 32 27 31 57.' 31 26 30 51 3° 15 29 35 28 53 28 09 27 21 26 32 25 4° 24 46 23 5° 22 49 21 49 20 45 19 4° 18 31 17 21 16 09 14 56 13 40 12 23 11 04 9 45 8 23 7 01 5 38 4 15 2 50 1 25 o 00 o 00 2 01 4 01 6 01 7 58 9 52 11 43 13 31 15 14 16 54 18 28 19 58 21 23 22 42 23 57 25 08 26 13 27 12 28 06 2857 29 42 30 24 31 01 31 34 32 02 32 27 3248 33 °5 33 18 33 29 33 36 33 39 33 39 33 36 33 30 33 22 33 10 32 56 32 39 32 18 31 56 31 3° 31 01 3° 31 29 57 29 22 28 44 28 02 27 19 26 33 25 46 24 55 24 02 23 07 22 09 21 10 20 07 19 04 17 57 16 49 15 40 14 28 13 15 12 00 10 44 9 27 8 07 6 48 5 27 4 07 2 45 00 156 3 5° 5 44 7 35 9 24 11 11 12 54 14 34 16 10 17 40 19 °7 20 30 21 46 22 59 24 °7 25 10 26 09 27 °4 27 52 28 35 29 18 29 55 30 28 30 56 31 21 31 42 31 59 32 13 32 23 32 31 32 35 32 36 32 33 32 28 32 20 32 09 31 55 31 39 31 19 30 57 30 33 30 06 29 36 29 03 28 29 27 52 27 12 26 29 25 45 24 59 24 10 23 18 22 24 21 28 20 30 19 30 18 27 17 23 16 18 15 10 14 01 12 50 11 37 10 23 9 08 7 52 6 35 5 17 3 39 2 39 1 19 o 00 b. O 11 12 111. 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 2W 30 40 SO 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 SO 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East ; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 76 AZIMUTH OR TRUE BEARING. LATITUDE 17°. DECLINATION— SAME NAME AS- •LATITUDE. LATITUDE 1T°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° _69° 70°, ^ Hour Angle. h. m. o / / / 1 / / □ 1 / / / / Ii. 111. OO 00 00 00 0*00 00 00 00 00 00 00 c 00 00 10 I 50 1 45 1 39 1 35 1 3° 1 25 1 20 1 16 1 12 1 08 1 04 10 20 3 40 3 29 3 19 3 09 3 00 2 50 2 42 2 33 2 25 2 16 2 09 20 30 5 27 5 12 4 57 4 42 4 28 4 14 4 01 3 49 3 35 3 23 3 12 30 40 7 '4 6 53 ° 33 6 14 5 55 5 37 5 20 5 03 446 4 30 4 15 • 40 50 »59 8 33 8 08 7 45 7 22 ° 59 6 37 6 17 5 56 5 36 5 17 50 1 OO 10 40 10 10 9 41 9 13 8 46 8 20 7 54 7 29 7 04 6 41 6 18 1 OO. 10 12 19 11 45 11 12 10 40 10 08 9 38 9 08 8 40 8 12 7 44 7 18 IO 20 13 54 13 16 12 39 12 03 11 28 10 54 10 21 9 49 9 17 8 47 8 17 20 30 15 26 14 44 14 03 13 23 12 45 12 08 II 31 10 56 10 21 9 47 9 *£ 30 40 16 54 16 08 15 24 14 42 14 00 13 19 12 40 12 00 11 22 10 45 10 08 11 03* 40 50 18 17 17 29 16 42 15 5° 15 11 14 27 13 45 13 03 12 21 11 42 5'0 2 OO 19 36 18 46 17 5° 17 07 16 19 15 32 14 47 14 03 13 18 12 35 11 54 2 OO 10 20 52 19 59 19 06 18 15 17 24 16 35 15 47 14 59 14 13 •13 28 12 43 10 20 22 02 21 06 20 12 19 18 18 26 17 35 18 30 16 44 15 54 16 46 15 05 14 18 13 3i 20 30 23 08 22 II 21 15 20 19 19 24 ■17 38 15 55 15 05 14 10 30 40 24 IG 23 10 22 13 21 15 20 19 19 23 18 29 17 3° 16 42 15 50 14 59 40 50 25 07 24 07 23 07 22 07 21 09 20 13 19 16 18 21 17 26 1° 33 15 38 50 3 00 26 OO 24 58 23 57 22 57 21 57 20 59 20 01 19 °4 18 08 17 12 16 17 3 OO 10 26 49 25 46 24 44 23 42 22 42 21 42 20 43 19 44 18 46 17 49 16 53 10 20 27 32 26 29 25 26 24 24 23 23 22 21 21 20 20 21 19 22 18 24 17 26 20 30 28 14 27 09 26 05 25 02 23 59 22 58 21 57 20 56 19 55 20 26 18 56 17 58 30 40 28 49 27 44 26 40 25 36 24 33 23 31 22 29 21 28 19 26 18 26 40 50 29 22 28 16 27 11 26 07 25 °4 24 01 22 58 21 5° 20 53 19 52 18 51 50 4 00 29 50 28 44 27 39 26 35 25 31 24 27 23 24 22 21 21 18 20 16 19 14 4 00 10 30 14 29 09 28 04 26 59 25 55 24 51 23 47 22 44 21 40 20 38 19 3° 10 20 30 3° 29 30 28 25 27 20 26 15 25 11 24 08 23 °4 22 00 20 57 19 55 20 SO 30 53 29 48 2843 27 38 26 33 25 29 24 25 23 21 22 17 21 13 20 10 30 40 31 07 30 02 28 57 27 53 26 48 25 43 24 39 23 35 22 31 21 27 20 24 40 SO 31 18 30 14 29 09 28 04 26 59 25 55 24 51 23 47 22 43 21 39 20 35 50 5 00 31 26 30 21 29 17 28 12 27 08 26 04 25 00 23 56 22 52 21 47 20 44 5 OO 10 31 30 30 26 29 22 28 18 27 13 26 09 25 06 24 02 22 58 21 55 20 51 10 20 31 32 30 27 29 24 28 20 27 17 26 13 25 09 24 06 23 02 21 59 20 56 20 30 31 30 30 26 29 23 28 20 27 17 26 14 25 10 24 °7 23 04 22 01 20 58 30 40 31 25 30 22 29 20 28 17 27 14 26 12 25 09 24 06 23 03 22 00 20 57 40 50 31 18 30 16 29 14 28 11 27 09 26 07 25 04 24 02 23 00 21 58 20 55 50 6 00 31 07 30 06 29 04 28 03 27 02 26 00 24 58 23 57 22 54 21 53 20 50 6 00 ., • 10 30.54 29 54 28 52 27 52 26 51 25 5° 24 49 23 48 22 46 21 45 21 3° 20 44 10 ! - 20 30 38 29 39 28 39 27 38 26 38 25 38 24 39 23 38 22 37 20 36 20 30 30 20 29 21 28 22 27 22 26 23 25 23 24 24 23 25 22 24 21 24 20 25 30 40 29 59 29 01 28 02 27 04 26 05 25 06 24 08 23 °9. 22 10 21 11 20 11 40 50 29 35 28 38 27 41 26 42 25 45 24 48 23 5° 22 51 21 53 20 56 19 57 50 7 00 29 09 28 12 27 16 26 20 25 23 24 26 23 29 22 32 21 35 20 37 19 40 7 00 lO 28 40 27 44 26 49 25 54 24 58 24 02 23 06 22 10 21 13 20 18 19 22 10 20 28 09 27 14 26 20 25 25 24 30 23 36 22 41 21 46 20 51 19 5° 19 01 20 30 27 35 26 42 25 49 24 55 24 01 23 08 22 14 21 21 20 26 19 32 18 39 30 40 26 59 26 07 25 15 24 22 23 3° 22 38 21 45 20 53 20 00 19 07 18 14 40 50 26 21 25 30 24 39 23 47 22 57 22 05 21 14 20 23 19 31 18 40 17 48 50 8 00 25 40 24 50 24 00 23 11 22 20 21 31 20 41 19 5i 19 01 18 11 17 20 8 00 10 24 5° 24 08 23 20 22 31 21 43 20 55 20 06 19 17 18 28 17 40 16 51 IO 20 24 11 23 24 22 37 21 50 21 03 20 16 19 29 18 42 17 54 17 07 16 20 20 30 23 24 22 38 21 52 21 07 20 21 19 36 18 50 18 05- 17 19 1° 33 15 48 30 40 22 34 21 5° 21 06 20 21 19 37 18 54 18 10 17 26 16 41 15 57 15 14 40 50 21 41 20 58 20 06 19 34 18 51 18 10 17 27 16 45 16 02 15 20 14 38 50 » 00 20 47 20 07 19 26 18 44 18 04 17 23 16 43 16 03 15 22 14 41 14 01 9 00 10 19 51 18 ;2 19 12 18 32 17 54 17 14 16 36 15 57 15 19 14 39 14 01 13 22 IO 20 18 15 17 38 17 01 16 24 15 47 15 09 14 33 13 56 13 20 12 43 20 30 17 52 17 16 16 42 16 06 15 31 14 5° 14 20 13 4° 13 11 12 36 12 01 30 40 16 50 16 16 15 43 15 10 14 37 14 03 13 31 12 58 12 24 11 52 11 19 40 50 15 46 15 14 14 44 14 12 13 41 13 09 12 39 12 08 11 37 11 06 10 35 SO .O 00 14 41 14 11 13 42 13 13 12 44 12 15 11 46 11 17 10 48 10 19 9 51 10 00 10 13 33 13 <=5 12*39 12 II II 45 11 18 10 51 10 25 9 58 9 31 9 06 IO 20 12 24 11 59 11 35 II 10 10 45 10 20 9 56 9 32 9 07 8 43 8 19 20 30 " 15 10 51 10 29 IO 06 9 44 9 22 9 00 8 38 8 15 7 53 7 31 30 40 10 03 9 43 9 22 9 02 8 42 8 22 8 02 7 42 7 22 7 03 644 40 50 8 50 8 32 8 14 7 57 7 39 7 22 7 04 6 47 6 29 6 12 5 55 50 11 00 7 37 7 21 7 05 6 50 °35 6 20 6 05 5 50 5 34 5 20 5 05 11 OO 10 6 22 6 09 5 55 5 43 5 3i 5 17 5 05 4 52 4 40 4 28 4 15 10 20 5 °° 4 50 4 46 4 35 4 25 4 15 4 05 3 55 3 44 3 35 3 24 20 30 3 5i 3 43 3 34 3 27 3 19 3 12 3 04 2 56 2 48 2 41 2 34 30 40 2 34 2 29 2 24 2 19 2 13 2 08 2 03 1 58 1 52 1 48 1 43 40 50 1 17 1 14 1 12 1 09 1 07 1 04 1 01 59 56 54 52 5 ia 00 00 00 00 00 00 00 00 00 00 00 00 V2 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 77 AZIMUTH OR TRUE BEARING. LATITUDE 18°. DECMNATION- -SAME NAME AS— LATITUDE. LATITUDE 18°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / / / / / / ' / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 20 49 17 56 15 43 13 56 12 29 11 18 10 17 9 26 18 17 8 41 8 03 7 28 656 10 20 37 oi 32 43 29 12 26 15 23 46 21 40 19 52 16 55 15 43 14 39 13 40 20 30 48 07 43 35 39 39 36 14 33 13 30 35 28 16 26 13 24 23 22 45 21 16 19 57 30 40 55 33 51 18 47 26 43 56 40 46 37 56 35 21 33 02 38 44 30 55 29 00 27 15 25 39 40 • 50 60 39 56 46 53 1° 49 49 46 41 43 49 41 11 36 30 34 25 32 29 30 43 50 1 00 64. 14 60 44 57 25 54 17 51 19 48 32 45 55 43 28 41 12 39 03 37 02 35 09 1 00 10 66 49 63 4i 60 39 57 44 54 57 52 17 49 46 47 22 45 07 42 58 40 56 39 01 10 20 6845 65 53 63 07 60 25 57 49 55 18 52 54 5° 35 48 22 46 16 44 15 42 19 20 30 70 11 S 34 65 01 62 31 60 05 57 44 55 27 53 14 51 °7 49 03 47 04 45 10 30 40 71 16 68 52 66 29 64 11 °i 54 59 4i 57 3i 55 25 53 23 51 23 49 28 47 36 40 50 72 05 69 51 67 40 65 3° 63 22 61 16 59 13 57 13 55 16 53 21 51 29 49 41 50 2 00 72 41 70 37 68 34 66 33 64 32 62 34 60 38 58 43 56 5i 55 01 53 13 51 27 2 00 10 73 09 7i 13 69 17 67 22 65 29 6336 61 46 59 57 58 10 56 24 54 40 52 59 10 20 73 28 71 39 69 50 68 02 66 14 64 28 62 42 60 58 59 15 57 34 55 54 54 15 20 30 73 40 71 58 70 14 68 32 66 50 65 08 63 28 61 48 60 11 58 33 5656 5ii6 30 40 73 49 72 10 70 32 68 55 67 17 65 41 64 05 62 30 60 56 59 21 57 48 40 50 73 51 72 17 70 44 69 12 67 39 66 06 64 34 63 03 61 32 60 01 58 31 57 02 50 3 00 73 5i 72 21 7° 51 69 23 67 53 66 25 64 56 63 29 62 01 60 33 59 07 57 41 3 00 10 73 46 72 20 7° 55 69 30 68 03 6638 65 14 63 49 62 24 60 59 59 36 58 12 10 20 73 39 72 16 7° 54 69 32 68 09 6647 65 25 64 03 62 41 61 19 59 58 58 37 20 30 73 29 72 09 70 50 69 31 68 11 6651 65 32 64 12 62 54 61 34 60 15 585° 30 40 73 16 72 00 7° 43 69 26 68 08 66 52 °5 35 64 19 63 01 61 45 60 27 59 11 40 50 73 02 71 48 7° 34 . 6 9 19 68 03 66 49 6"5 34 64 19 63 05 61 50 °° 35 59 21 50 4 00 72 45 72 26 71 33 70 21 69 08 67 55 66 43 65 30 64 17 63 05 61 52 60 39 59 26 4 00 10 71 16 70 06 68 55 67 45 66 34 65 23 64 12 63 01 61 50 60 39 59 28 10 20 72 05 70 57 69 49 • 68 40 67 31 66 2J 65 13 64 04 62 55 61 45 0° 35 59 26 20 30 71 43 7° 36 69 30 68 22 67 15 66 08 65 00 63 52 62 44 61 36 60 29 59 21 30 40 71 19 70 14 6908 68 03 66 57 65 51 64 44 6338 62 32 61 25- 60 19 59 12 40 50 70 54 69 49 68 44 67 41 66-35 65 3r 64 27 63 21 62 16 61 11 60 05 59 °° 50 5 00 70-25 69 23 68 19 67 16 66 13 65 10 64 06 63 02 61 59 60 54 59 49 58 45 5 00 10 6956 68 55 67 53 66 51 65 48 64 46 63 43 62 40 61 37' 60 34 59 32 58 28 IO 20 69 26 ©53 68 25 67 24 66 22 65 21 64 19 63 18 62 16 61 15 60 12 59 n 58 08 20 30 67 52 66 52 65 52 64 Sf °3 51 62 50 61 50 60 49 59 47 5846 57 45 30 40 68 18 67 18 66 18 65 19 64 20 63 20 62 20 61 20 60 20 59 20 58 20 57 r 9 40 ;5o 67 42 66 43 65 44 64 46 63 46 62 47 61 48 60 49 59 5° 5851 57 51 56 52 50 6 00 67 04 66 05 65 °7 64 09 63 10 62 12 61 13 60 15 59 16 58 18 57 20 56 20 6 OO io 66 23 65 25 64 28 63 30 62 32 61 34 60 37 59 39 58 41 57 43 56 45 55 47 IO 20 6540 64 44 63 46 62 50 61 52 6a 55 59 58 59 °i 58 03 57 06 56 08 55 11 20 30 64 56 °3 59 6303 62 06 61 09 60 13 59 '6 58 19 57 22 5626 55 29 54 33 30 40 64 09 63 13 62 16 61 20 60 24 59 28 58 32 57 35 56 40 55 43 54 47 53 51 40 50 63 21 62 24 61 28 60 33 59 36 58 41 57 45 56 50 55 53 54 58 54 03 53 07 50 7 00 62 28 °I 33 60 37 59 42 58 46 57 51 56 56 56 01 55 06 54 10 53 15 52 20 7 00 IO 61 34 60 39 59 44 5848 57 53 5658 56 03 55 08 54 14 53 19 52 24 5i 30 10 20 60 37 59 42 58 42 58 47 57 52 5656 56 02 55 08 54 13 53 19 52 25 51 31 50 36 20 30 59 37 57 47 56 53 55 58 55 °3 54 10 53 16 52 22 51 28 50 35 49 40 30 40 58 34 57 39 5° 44 55 5° 54 56 54 oi 53 08 52 14 51 21 50 27 49 35 48 42 40 50 57 27 56 32 55 39 54 44 53 5° 52 5° 52 03 51 10 50 17 49 24 48 32 47 39 50 8 00 56 17 55 23 54 28 53 35 " 52 41 5i 48 50 54 50 01 49 10 48 17 47 25 46 33 8 00 IO 55 03 54 08 53 15 52 21 51 28 50 35 4942 48 5° 47 59 47 06 46 15 45 23 10 20 53 45 52 51 51 57 51 °4 50 11 49 18 48 26 47 35 46 44 45 52 45 01 44 10 20 30 52 23 51 29 5° 36 49 43 48 5° 47 58 47 06 46 15 45 24 44 33 43 44 42 54 30 40 50 55 50 02 49 °8 48 17 47 24 46. 33 45 42 44 51 44 02 43 12 42 22 41 33 40 50 49 23 48 30 47 37 46 46 45 54 45 03 44 13 43 23 42 34 41 45 40 56 40 08 50 9 OO 47 46 46 53 46 01 45 1° 44 18 43 28 42 39 41 50 41 02 40 13 39 26 3838 9 OO 10 46 03 45 " 44 20 43 3° 42 38 41 49 41 00 40 13 39 25 38 38 37 5i 37 06 10 20 44 H 43 23 42 32 41 43 4° 54 40 05 39 17 38 30 37 44 36 57 36 12 35 28 20 30 42 20 41 28 4° 39 39 51 39 °2 38 15 37 29 36 43 35 57 35 12 34 28 33 41 30 40 40 17 39 28 38 39 37 52 37 °4 36 19 35 34 34 49 34 05 33 22 32 40 31 58 40 50 38 09 37 20 36 34 35 48 35 °2 34 17 33 34 32 51 32 09 31 27 30 47 30 07 50 10 00 35 53 35 07 34 21 33 37 32 53 32 II 31 29 3° 47 30 07 29 28 28 49 28 11 10 00 IO 33 3° 32 45 32 02 31 20 30 37 29 57 29 17 28 38 28 00 27 22 26 46 26 09 10 20 31 00 30 17 29 36 28 56 28 16 27 38 27 01 26 24 25 49 25 13 24 39 24 04 20 30 28 22 27 42 27 04 26 26 2548 25 13 24 38 24 04 23 31 22 58 22 26 21 55 30 40 25 36 24 59 24 23 23 49 23 15 22 42 22 10 21 38 21 09 20 38 20 09 19 41 40 50 22 43 22 10 21 37 21 06 20 35 20 06 19 36 19 09 18 42 18 14 17 49 17 23 50 11 OO 19 44 19 14 18 45 18 18 17 5° 17 25 16 59 16 34 16 10 15 47 15 24 15 01 11 00 10 16 37 16 11 15 47 15 24 15 0° 14 38 14 17 13 55 13 35 13 15 12 56 12 37 10 20 13 25 13 04 12 44 12 25 12 06 11 48 II 31 11 13 10 56 10 41 10 26 10 09 20 30 10 08 9 52 9 37 9 23 9 08 8 53 8 40 8 27 8 15 8 02 7 5° 7 39 30 40 6 48 6 37 6 27 6 16 6 07 5 57 5 49 5 39 5 32 5 23 5 15 5 07 40 50 3 25 3 19 3 14 3 08 3 °4 2 59 2 54 2 51 2 46 2 42 2 37 2 34 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated asimuth is to be taken for the required true bearing. 78 AZIMUTH OR TRUE BEARING. LATITUDE 18°. DECI. m. o / 1 / / / / / r / / ■ / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ' 10 653 6 25 6 02 5 39 5 19 5 °i 444 4 29 4 15 4 01 3 49 3 38 10 20 13 31 12 40 1: 52 11 10 10 32 9 57 9 23 8 53 8 26 7 59 7 35 7 12 20 30 19 43 1 18 31 17 25 16 25 15 30 14 39 13 52 13 08 12 28 11 51 11 15 10 42 30 40 25 22 23 54 28 44 22 34 21 19 20 10 19 07 18 07 17 12 16 20 15 32 14 46 14 03 40 50 3° 23 27 13 25 48 24 29 23 14 22 05 21 00 19 59 19 01 18 07 17 16 50 1 00 34 47 33 °2 31 23 - 29 51 28 24 27 01 25 44 24 31 23 23 22 18 21 16 20 18 1 00 10 38 37 3648 35 04 33 27 31 55 30 27 29 °4 27 46 26 31 25 20 24 13 23 °9 lO 20 41 55 40 05 38 19 3638 35 03 33 32 32 05 30 43 29 24 28 08 2656 25 47 20 30 44 45 42 55 41 09 39 27 37 51 36 18 34 40 33 22 32 00 3° 41 29 26 28 13 30 40 47 09 45 21 43 37 41 55 40 18 38 44 37 13 35 47 34 22 33 °° 31 43 30 27 * 40 50 49 14 47 28 45 45 44 °4 42 28 40 54 39 23 37 55 36 29 35 06 33 46 32 29 50 2 OO 50 59 49 16 47 36 45 57 44 21 42 48 4i 17 39 49 3823 36 59 35 39 34 20 2 00 10 52 30 5° 49 49 1° 47 34 46 01 44 28 42.58 41 31 40 05 38 42 37 20 36 01 lO 20 53 46 52 00 5° 33 48 59 47 27 45 56 44 27 43 °° 41 35 40 11 3850 37 31 20 30 54 51 53, 16 51 43 50 12 48 41 47 12 45 45 44 19 42 55 41 32 40 11 38 52 30 40 55 45 54 14 52 44 51 14 49 46 48 19 4° 52 45 28 46 29 44 06 42 43 4i 23 40 03 40 50 56 31 55 °2 53 34 52 07 50 41 49 16 47 52 45 07 43 45 42 25 41 07 50 it 00 57 08 55 42 54 16 52 52 51 28 50 04 48 42 47 21 46 00 44 40 43 21 42 04 3 OO 10 57 38 56 15 54 52 53 3° '52 07 50 46 49 26 48 05 46 46 45 27 44 10 42 53 lO 20 58 03 56 42 55 21 54 00 52 4° 51 21 50 01 48 43 49 1° 47 26 46 08 44 5i 43 36 20 30 58 22 57 °2 55 44 54 25 53 08 5i 5° 50 33 47 59 46 43 45 27 44 13 30 40 58 35 57 18 56 02 54 45 53 28 52 13 5° 57 49 4i 4827 47 11 45 57 44 43 40 50 58 44 57 29 56 14 54 59 53 45 52 3° 51 16 50 02 48 49 47 35 46 22 45 09 50 4 00 58 49 57 35 56 23 55 09 53 57 52 44 51 3° 5° 19 49 06 47 53 46 41 45 30 4 OO 10 5 i 5 ? 57 39 56 26 55 15 54 04 52 52 51 41 5° 3° 49 18 48 07 46 57 45 46 lO 20 58 46 57 37 56 27 55 16 54 06 52 56 51 46 50 36 49 27 48 17 47 07 45 57 20 30 5840 57 32 56 23 55 15 54 06 52 57 51 49 50 40 49 31 48 23 47 14 46 05 30 40 5831 57 23 5° 16 55 09 54 °2 52 54 51 47 50 40 49 32 48 24 47 17 46 10 40 50 58 18 57 12 56 06 55 °° 53 54 52 47 51 41 50 36 49 29 48 23 47 16 46 09 50 5 00 58 02 5658 55 53 54 48 53 43 52 38 51 33 50 28 49 22 48 17 47 11 46 06 5 OO 10 57 43 56 40 55 37 54 33 53 29 52 25 51 21 5° 17 49 12 48 08 47 03 45 59 10 20 57 22 56 20 55 17 54 H 53 12 52 09 51 06 5° 03 48 59 47 55 46 52 45 49 20 30 56 58 55 57 54 55 53 54 52 52 51 5° 5° 47 49 45 48 43 47 4° 4638 45 35 30 40 56 32 55 31 54 30 53 29 52 29 51 27 50 26 49 25 4823 47 21 46 21 45 19 40 50 5° 03 55 °3 54 03 53 °3 52 03 51 °2 5° °3 49 °2 48 02 47 01 45 59 44 59 50 6 00 55 3° 54 32 53 33 52 33 51 34 5° 34 49 35 48 36 47 37 46 37 45 37 44 37 6 OO 10 54 56 53 57 52 59 52 01 51 °3 50 04 49 06 48 07 47 °8 46 09 45 10 44 " 10 20 54 19 53 22 52 24 51 26 50 29 49 31 48 33 47 35 46 37 45 39 44 41 43 43 '20 % 30 53 3? 52 43 51 46 5° 49 49 53 48 55 47 58 47 °° 46 03 45 06 44 08 43 11 30 40 52 56 52 01 51 05 5° 08 49 12 48 16 47 20 46 24 45 27 44 30 43 33 42 37 40 50 52 12 51 16 50 21 49 26 48 30 47 34 46 39 45 43 44 47 43 52 42 55 42 00 50 7 00 51 24 50 29 49 34 48 45 48 39 47 44 46 49 45 55 45 °° 44 °5 43 10 42 15 41 20 7 00 10 5° 33 49 3? 47 5° 46 56 46 01 45 °8 44 14 43 20 42 26 41 32 40 37 10 20 49 39 48 46 47 52 46 58 46 06 45 12 44 18 43 25 42 31 41 39 4045 39 52 20 30 48 42 47 49 46 57 46 04 45 11 44 18 43 26 42 34 41 40 40 48 39 56 39 03 30 40 47 42 46 50 45 58 45 05 44 14 43 22 42 3° 41 39 40 47 39 55 39 04 38 12 40 50 46 40 45 48 44 56 44 05 43 14 42 22 41 31 40 41 39 5i 38 59 38 09 37 18 50 8 00 45 32 44 42 43 51 43 01 42 11 41 19 40 29 39 4° 385° 38 00 37 10 36 21 8 OO 10 44 23 43 33 42 43 41 53 41 04 40 13 39 25 38 36 37 47 3658 36 10 35 21 lO 20 43 09 42 20 41 31 40 42 39 54 39 °5 38 17 37 29 36 41 35 53 35 06 34 19 20 30 41 52 41 03 40 16 39 27 3840 37 52 37 °5 36 19 35 32 34 45 33 59 33 12 30 40 40 31 39 44 38 57 38 10 37 23 3° 3° 35 5° 35 °5 34 19 33 34 32 49 32 03 40 50 39 o 6 38 21 37 34 3648 36 03 35 17 34 32 33 47 33 04 32 20 31 35 30 52 50 9 00 37 38 36 52 36 07 35 23 34 39 33 54 33 1° 32 27 31 44 31 01 30 19 29 36 9 00 lO 36 05 35 21 34 36 33 53 33 " 32 27 • 31 45 31 °4 30 22 29 41 2859 28 19 10 20 , 34 29 33 46 33 02 32 21 31 4° 3°58 30 17 29 36 28 56 28 17 PI 37 2658 20 30 32 47 32 00 31 24 3° 44 30 04 29 24 28 44 28 06 27 27 26 49 26 12 25 34 30 40 31 02 30 21 29 42 29 03 28 25 27 47 27 10 26 33 25 55 25 19 24 43 24 07 40 50 29 12 28 34 27 56 27 19 26 42 26 07 25 3° 24 55 24 21 23 4° 23 .12 22 39 50 10 00 27 18 26 42 26 06 25 31 24 56 24 22 23 48 23 16 22 43 22 10 21 38 21 06 10 00 10 25 19 24 45 24 12 23 39 23 07 22 34 22 03 21 32 21 01 20 30 20 00 19 31 10 20 23 17 22 45 22 14 21 44 21 14 20 43 20 14 19 45 19 17 18 49 18 21 17 53 20 30 21 II 20 42 20 13 19 44 19 17 18 49 18 23 17 56 17 30 17 04 16 39 16 14 ■ 30 40 19 00 18 34 18 07 17 42 17 17 16 52 16 28 16 04 15 4° 15 17 14 54 14 31 40 50 16 47 16 23 16 00 15 37 15 14 14 52 14 31 14 10 13 49 13 28 13 08 12 47 50 11 00 14 3° 14 09 13 48 13 28 13 09 12 49 12 31 12 12 11 54 11 36 II 19 11 02 11 00 10 12 09 11 52 II 34 11 18 II 01 1° 45 10 29 10 14 9 58 9 43 9 29 9 13 10 20 9 47 9 33 9 19 9 05 8 52 8 39 ? 25 8 13 8 01 7 48 7 37 7 25 20 30 7 21 7 " 7 01 6 50 6 40 6 30 6 21 6 11 6 02 5 52 5 44 5 35 30 40 4 56 448 4 40 4 34 4 28 4 21 4 14 4 08 4 02 3 55 3 49 3 44 40 50 2 28 2 25 2 21 2 17 2 14 2 10 2 08 2 04 2 01 158 1 55 1 52 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In Jforth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from'^North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 83 AZIMUTH OR TRUE BEARING. LATITUDE 19°. DECIJNATION- SAME NAME AS— LATITUDE. LATITUDE 19°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 67° 58° 59° Hour Angle. li. in. o / / / / / / 1 / / / / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 3 26 3 17 631 3 07 258 2 50 2 41 2 33 2 27 2 19 2 12 2 06 2 00 10 20 6 50 6 12 5 54 5 37 5 21 5 °5 4 51 4 38 4 24 4 12 4 00 20 30 40 10 II 9 42 9 '4 847 8 22 7 59 7 3° 7 14 6 53 6 34 6 15 5 57 30 13 24 16 28 12 45 12 09 11 36 11 03 10 32 10 03 9 34 9 °7 8 41 8 17 7 54 40 50 15 42 14 59 14 18 13 38 13 01 12 25 11 50 11 18 10 46 10 16 9 46 SO 1 00 19 22 18 30 17 40 16 52 16 07 15 23 14 41 14 01 13 23 12 46 12 11 11 37 1 00 10 22 07 21 09 20 14 19 20 18 29 17 40 18 58 16 07 15 24 14 43 14 02 . 13 23 IO 20 24 41 23 37 22 37 21 39 20 43 19 5° 18 08 17 20 16 34 15 49 15 06 20 30 27 03 25 5 6 24 52 23 50 22 50 21 52 20 56 20 01 19 10 18 20 17 31 16 44 30 40 29 15 28 04 26 57 25 51 24 47 23 46 22 48 21 50 20 54 20 00 19 08 18 17 40 50 31 14 30 01 28 51 27 44 26 37 25 33 24 3° 23 30 22 32 21 35 20 39 19 46 50 2 00 33 04 31 5° 3° 37 29 27 28 19 27 13 26 08 25 °4 24 03 23 °4 22 06 21 10 2 00 10 34 43 33 27 32 14 31 02 29 52 28 45 27 38 26 32 25 29 24 27 23 27 22 28 IO 20 36 13 34 56 36 17 33 42 32 3° 31 18 30 08 29 00 27 53 26 49 25 45 24 42 23 42 20 30 37 33 35 02 33 48 32 36 31 26 3° 17 •29 08 28 02 26 57 25 53 24 49 30 40 50 38 46 37 29 38 34 36 13 35 °° 33 47 32 36 31 26 30 17 29 09 28 03 26 57 25 53 40 39 50 37 19 36 04 34 51 33 39 32 29 31 19 3° II 29 04 27 57 26 52 50 3 OO 40 47 39 3i 38 16 37 °2 35 49 34 37 33 26 32 16 31 °7 29 59 28 51 27 46 3 00 10 41 37 40 21 39 °7 37 53 36 40 35 29 34 17 33 °6 31 58 3° 49 29 41 28 35 10 20 42 18 41 05 39 51 38 38 37 26 36 14 35 °3 33 52 32 43 31 35 30 26 29 18 20 30 42 58 41 44 40 31 39 18 38 06 3° 54 35 43 34 33 33 24 32 15 31 07 2958 30 40 43 30 42 16 41 04 39 52 3841 37 29 36 19 35 °9 34 °° 32 51 31 42 3° 34 40 50 43 57 42 45 41 33 40 21 39 1° 38 00 36 49 35 39 34 3° 33 22 32 13 31 °5 50 4 OO 44 18 43 07 4i 56 4° 45 39 35 38 26 37 16 36 06 34 57 33 49 32 4° 31 33 4 00 10 44 36 43 25 42 15 41 °5 39 56 38 47 37 37 36 28 35 20 34 12 33 °4 31 56 10 20 44 48 43 39 42 3° 41 21 40 12 39 °3 37 55 3° 47 35 39 34 30 33 23 32 16 20 30 44 57 43 48 42 40 4i 32 40 24 39 I 6 38 08 37 °I 35 53 34 45 33 38 32 31 30 , 40 45 "I 43 54 42 47 41 39 40 32 39 25 38 17 37 1° 35 °4 34 57 33 5° 32 44 40 50 45 03 43 56 42 49 41 43 40 36 39 31 38 24 37 17 3° 11 35 °5 33 58 32 52 50 5 00 45 0° 43 55 42 49 41 44 4° 37 39 32 38 26 37 20 36 15 35 °9 34 °4 32 58 5 OO 10 44 54 43 50 42 45 41 39 4° 35 39 31 38 25 37 20 36 16 35 11 34 05 33 °° 10 20 44 45 43 41 42 37 41 33 40 29 39 25 38 20 37 16 36 13 35 °8 34 04 32 59 20 30 44 32 43 29 42 27 41 23 40 20 39 n 38 13 37 °9 36 07 35 °3 33 59 32 55 30 40 44 17 43 14 42 12 41 11 40 08 3906 38 03 36 59 35 57 34 55 33 52 32 49 40 50 43 58 42 56 41 55 40 54 39 53 38 51 37 49 36 47 35 45 34 43 33 41 32 38 50 6 OO 43 36 42 36 41 35 4° 34 39 34 38 33 37 33 36 31 35 3° 34 29 33 28 32 26 (i 00 10 43 " 42 12 41 12 40 12 39 12 38 13 37 13 36 12 35 12 34 12 33 11 32 10 10 20 42 44 4i 45 40 47 39 48 3848 37 50 36 51 35 5° 34 52 33 53 32 52 31 52 20 30 42 13 '41 15 40 18 39 20 38 21 37 24 36 25 35 26 34 28 33 3° 32 3° 31 32 30 40 41 40 40 42 39 46 38 49 37 52 36 55 35 58 35 °° 34 °2 33 °5 32 06 ' 31 08 40 50 41 04 40 08 39 12 38 15 37 19 3° 23 35 26 34 30 33 33 32 36 31 39 30 42 50 7 00 40 25 39 3° 38 35 37 39 36 44 35 48 34 53 33 57 33 01 32 06 31 °9 3° 13 7 OO 10 39 43 38 49 37 55 37 °° 36 °5 35 12 34 17 33 22 32 27 31 33 3° 37 29 42 » 10 20 3859 3805 37 18 37 12 36 19 35 25 34 31 33 37 32 43 31 5° 3° 57 30 02 29 08 20 30 38 11 36 26 35 34 34 41 33 49 32 56 32 03 31 11 30 19 29 25 28 33 30 40 37 20 36 29 35 38 34 46 33 55 33 °4 32 12 31 20 30 29 29 38 28 54 28 46 27 54 40 50 36 27 35 37 34 47 33 57 33 06 32 16 31 26 3° 35 29 45 28 04 27 14 50 8 OO 35 3i 34 42 33 53 33 °4 32 14 31 25 3° 36 29 46 2858 28 09 27 20 26 31 8 00 10 34 33 33 44 32 57 32 09 31 20 3° 32 29 44 28 56 28 09 27 21 26 33 25 44 10 20 33 31 32 43 31 57 31 1° 3° 23 29 27 29 5° 28 04 27 17 26 31 25 44 24 58 20 30 32 27 31 40 3° 55 30 09 29 23 28 39 27 53 27 08 26 23 25 38 24 52 24 07 30 40 31 19 30 34 29 50 29 05 28 21 27 37 26 53 26 09 25 26 24 43 23 59 23 15 40 50 30 08 29 25 28 42 27 59 27 16 26 34 25 51 25 09 24 27 23 45 23 °3 22 20 50 9 00 29 55 28 13 27 31 26 50 26 09 25 28 24 47 24 06 23 26 22 45 22 05 21 24 9 00 10 27 38 26 58 26 19 25 38 24 59 24 19 "23 39 23 01 22 23 21 43 21 04 20 25 10 [ 20 26 19 25 40 25 02 24 24 23 46 23 08 22 31 21 53 21 17 20 40 20 02 19 25 20 30 24 57 24 20 23 44 23 07 22 31 21 55 21 19 20 44 20 09 19 33 18 58 18 23 30 40 23 32 22 57 22 23 21 48 21 13 20 40 20 05 19 32 18 59 18 25 17 51 17 19 40 50 22 05 21 31 20 59 20 26 19 54 19 21 18 5° 18 18 17 47 17 15 16 44 16 12 50 10 00 20 35 ■ 20 03 19 32 19 02 18 32 18 01 17 32 17 02 16 33 16 03 15 34 15 °4 IO OO 10 19 02 18 32 18 04 17 3° 17 07 16 39 16 II 15 43 15 17 14 5° 14 22 13 55 10 20 17 26 16 59 16 33 16 07 15 4i 15 15 14 5° 14 24 13 59 13 34 13 10 12 44 20 30 15 49 15 25 15 01 14 36 14 13 13 49 13 2° 13 °3 12 40 12 17 11 55 II 33 30 40 14 09 13 47 13 26 13 °4 12 43 12 21 12 01 II 40 11 20 10 59 10 39 10 19 40 50 12 27 12 08 II 49 11 30 11 11 1° 53 10 34 10 15 9 58 9 4° 9 22 9 °4 50 11 OO 10 44 10 28 10 11 9 54 9 38 9 22 9 06 8 50 834 8 19 8 03 7 48 UL 00 10 8 59 8 46 831 817 8 04 7 5° 7 37 7 23 7 11 6 58 6 44 631 10 20 7 H 7 02 6 50 6 39 6 28 6 17 6 07 5 5° 5 46 5 35 5 25 5 15 20 30 •5 25 5 17 5 °? 5 °° 4 51 4 44 4 36 4 28 4 20 4 12 4 04 3 56 30 40 3 38 3 32 3 26 3 21 3 15- 3 1° 3 °4 2 59 2 54 2 48 2 43 2 38 40 50 1 49 1 46 1 44 1 41 1 38 I 35 1 32 1 29 1 27 1 24 1 22 1 19 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the Tiour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 84 AZIMUTH OR TRUE BEARING. LATITUDE 19°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 19°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° ;70° Hour Angle. b. in. o / / t / 1 / / / / / / li. 111. O 00 O 00 00 00 00 00 00 00 00 00 00 00 00 10 i 54 1 48 1 44 1 38 1 33 1 28 1 24 1 19 1 14 1 10 1 06 10 20 3 48 3 37 3 26 3 10 3 °5 2 56 2 46 . 2 37 2 28 2 20 2 11 20 30 5 4° 5 24 5 08 4 52 4 37 6 08 4 22 4 09 3 55 3 42 3 29 3 17 30 40 7 31 7 °9 6 47 6 27 5 49 5 3° 5 12 4 55 4 38 4 22 40 50 9 19 852 8 26 8 01 7 36 7 13 6 50 6 28 6 07 5 46 5 25 50 1 00 11 05 10 32 10 01 9 32 9 °3 8 35 8 09 7 42 7 17 6 52 6 28 1 OO 10 12 46 12 10 " 35 11 01 10 28 9 56 9 25 8 55 8 26 7 57 7 29 10 20 14 26 13 44 13 °4 12 26 11 50 11 14 10 39 10 05 9 33 9 01 8 29 20 30 15 58 15 14 14 31 13 49 13 1° 12 30 11 52 11 14 10 38 10 03 9 27 30 40 17 28 16 41 15 54 15 09 14 26 13 43 13 00 12 20 11 41 11 02 10 24 - 40 50 1854 18 03 17 14 16 26 15 39 14 52 14 07 13 24 12 41 12 00 11 18 50 2 00 20 15 19 21 18 28 17 38 16 48 15 59 IS II 14 25 13 39 12 55 12 11 2 OO 10 21 31 20 35 19 4° 18 46 17 53 17 02 16 12 15 23 14 35 13 48 13 °i IO 20 22 42 21 44 20 47 19 51 18 56 18 02 17 °9 16 18 15 28 14 39 13 5° 20 30 23 49 22 49 •21 49 20 52 19 55 18 59 18 05 17 11 16 18 15 26 14 35 30 40 24 51 23 49 22 48 21 49 20 50 19 53 18 55 18 00 17 05 16 12 15 18 40 50 25 47 24 45 23 43 22 42 21 42 20 42 19 44 1847 17 5° 16 54 15 59 50 3 00 26 40 25 36 24 33 23 31 22 29 21 29 20 29 19 30 18 32 17 34 16 37 3 00 10 27 29 26 24 25 20 24 16 23 14 22 12 21 10 20 11 19 11 18 12 17 13 IO 20 28 13 27 07 26 01 24 57 23 53 22 50 21 48 20 47 19 47 18 47 17 46 20 30 28 52 27 46 26 40 25 35 24 30 23 27 22 24 21 21 20 19 19 19 18 18 30 40 29 27 28 21 27 14 26 09 25 °3 23 59 22 55 21 53 20 50 19 48 1845 40 50 2958 28 51 27 45 26 39 25 34 24 28 23 24 22 20 21 18 20 15 19 12 50 4 00 30 26 29 18 28 11 27 06 26 00 24 55 23 5° 22 45 23 08 21 41 20 38 19 34 4 OO 10 30 49 29 42 28 35 27 29 26 24 25 18 24 13 22 04 20 59 21 18 19 55 10 20 31 °8 30 02 28 55 2749 26 42 25 37 24 31 23 27 22 22' 20 14 20 30 31 25 30 18 29 12 28 06 27 00 25 54 24 48 23 43 22 38 21 34 20 28 30 40 31 37 3° 31 29 24 28 19 27 13 26 07 25 °2 23 56 22 51 21 47 20 42 40 50 31 47 3° 41 29 35 28 29 27 24 26 18 25 12 24 °7 23 03 21 58 20 53 50 5 00 31 53 3° 47 29 42 2836 27 31 26 26 25 20 24 15 23 11 22 06 21 01 5 00 10 31 56 3° 51 29 46 . 28 41 27 35 26 30 25 25 24 21 23 17 22 12 21 07 10 20 31 56 3° 51 29 46 28 42 27 37 26 32 25 28 24 24 23 20 22 15 21 11 20 30 31 52 30 48 29 44 28 40 27 37 26 32 25 28 24 24 23 20 22 16 21 13 30 40 31 45 30 42 29 39 2837 27 33 26 29 25 25 24 22 23 19 22 16 21 12 40 50 31 37 3° 34 29 31 28 29 27 27 26 23 25 21 24 18 23 15 22 12 21 08 50 6 00 31 24 30 23 29 21 28 19 27 17 26 15 25 12 24 10 23 °8 22 06 21 03 6 00 10 31 1° 30 09 29 08 28 07 27 05 26 04 25 03 24 01 23 00 21 58 20 56 10 20 3° 53 29 53 28 53 27 52 26 52 25 51 24 5° 23 50 22 49 21 47 20 46 20 30 30 33 29 34 28 34 27 35 26 35 25 36 24 35 23 35 22 36 21 36 , 20 34 30 40 30 10 ■ 2Q 12 28 14 27 15 26 17 25 18 24 18 23 19 22 21 21 21 20 21 40 . 50 29 45 28 48 27 50 26 53 25 55 24 57' 23 59 23 01 22 03 21 04 20 06 50 7 00 29 18 28 21 27 25 26 29 25 32 24 35 23 38 22 40 21 43 20 46 19 48 7 00 io 28 48 27 52 26 57 26 01 25 06 24 10 23 14 22 18 21 22 20 26 19 29 10 20 28 15 27 21 26 27 25 32 24 37 23 42 22 48 21 53 20 58 20 03 19 07 20 30 27 40 26 48 25 54 25 01 24 °7 23 14 22 20 21 27 20 33 19 39 18 45 30 40 27 02 26 II 25 19 24 27 23 35 22 43 21 50 20 57 20 05 19 13 18 20 40 50 26 23 . 25 33 24 43 23 51 23 00 22 09 21 19 20 27 19 36 1845 17 53 50 8 OO 25 4i 24 52 24 °3 23 14 22 24 21 46 21 34 20 45 19 55 19 °5 18 15 17 25 8 00 IO 24 57 24 09 23 21 22 34 20 58 20 09 19 21 18 32 17 44 16 55 IO 20 24 11 23 25 22 38 21 52 21 04 20 18 19 31 18 44 17 58 17 II 16 23 20 30 23 22 22 38 21 53 21 08 20 23 19 37 18 52 18 07 17 21 1636 15 50 30 40 22 32 21 49 21 05 20 22 1938 18 54 18 11 17 27 16 43 16 00 15 16 40 50 21 39 20 57 20 15 19 34 18 52 18 09 17 28 16 46 16 04 15 22 14 39 50 9 OO 20 44. 20 04 19 23 1843 18 03 17 23 16 43 16 03 15 23 14 43 14 02 9 OO IO 19 47 19 08 18 31 17 53 17 14 1636 15 57 15 19 14 4° 14 02 13 23 IO 20 18 49 1748 18 12 17 36 17 00 16 22 15 46 15 1° 14 33 13 57 13 20 12 43 20 30 17 13 1638 16 04 15 3° 14 55 14 20 13 46 13 11 12 36 12 02 30 40 16 45 16 12 15 40 15 °7 14 35 14 02 13 29 12 57 12 25 11 52 11 19 40 50 15 42 15 II 1440 14 09 13 39 13 °8 12 37 12 08 11 36 II 06 1° 35 50 10 OO 14 36 14 07 13 38 13 1° 12 41 12 13 " 45 11 16 1047 10 19 9 51 10 00 10 13 29 13 °2 12 35 12 09 11 42 11 16 10 50 10 24 9 57 9 3i 9 °3 10 20 12 20 II 56 II 31 11 07 1° 43 10 19 9 55 2 3 ? 9 07 S 43 8 19 20 30 11 10 IO 48 10 26 10 04 9 42 9 20 8 59 8 36 8 15 7 53 7 31 30 40 9 58 9 39 9 19 9 00 8 40 8 20 8 01 7 41 7 22 7 02 6 42 40 50 8 46 8 29 8 11 7 54 7 37 7 19 7 02 6 45 6 28 6 11 5 54 50 11 00 7 33 7 18 7 °3 6 48 6 33 6 18 6 04 5 49 5 34 ' 5 20 5 04 11 00 IO 6 19 6 06 5 54 5 4i 5 29 5 16 5 04 4 52 4 39 4 27 4 15 10 20 5,05 4 54 4 44 4 34 4 23 4 14 4 °3 3 54 3 44 3 34 3 25 20 30 3 49 3 41 3 33 3 26 3 18 3 " 3 °3 2 56 2 48 2 41 2 33 30 40 2 33 2 28 2 23 2 18 2 12 2 07 2 02 1 58 1 52 1 48 1 42 40 SO I 16 1 14 1 11 1 09 1 °7 1 04 1 01 59 56 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Snath latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 85 AZIMUTH OR TRUE BEARING. latitude; 20°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 20°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. to. m. O ' / / / / / / / / / / / to. in. OO O 00 00 00 00 00 00 00 00 00 00 00 00 O OO 10 2 g 3 ? 24 20 20 31 17 39 15 26 2845 13 41 12 15 11 04 10 05 9 13 8 30 7 5i 10 20 48 18 41 49 36 32 32 16 25 49 23 21 21 16 19 29 1756 16 33 15 22 20 30 58 44 52 48 47 35 43 03 39 °6 35 4° 32 41 30 04 27 45 25 42 23 53 22 15 30 ' 40 64 51 59 44 55 oi 50 44 46 50 43 20 40 10 37 19 34 45 32 25 30 20 28 24 40 50 68 41 64 17 60 07 56 12 52 34 49 « 46 03 43 10 40 31 38 04 35 49 33 44 50 1 00 71 14 67 23 63 4i 60 10 56 49 53 39 50 39 47 50 45 14 42 45 40 27 38 19 1 OO 10 72 58 69 35 66 17 63 06 60 02 57 °5 54 16 51 35 49 °3 4638 44 21 42 11 10 20 74 10 71 09 68 11 65 17 62 28 59 45 57 07 54 34 52 09 49 49 47 35 45 27 48 12 20 30 75 01 72 18 69 36 2j 57 64 22 61 50 59 23 56 59 54 41 52 27 50 17 30 40 75 37 73 °8 70 40 68 13 65 50 63 29 61 11 58 55 60 30 56 45 54 37 52 33 50 32 40 50 76 01 73 44 71 27 69 12 6658 64 46 62 37 5826 56 24 54 25 52 29 SO 2 OO 76 16 74 08 72 02 69 56 67 52 65 48 63 47 61 46 59 49 57 52 55 59 54 07 2 OO 10 76 25 74 26 72 28 70 30 6832 66 36 64 41 62 48 60 56 59 05 57 16 55 29 10 20 76 28 74 36 72 45 70 54 69 03 67 14 65 25 63 37 61 50 60 04 58 21 5638 20 30 76 25 74 41 72 55 71 11 69 26 67 43 65 59 64 17 62 35 60 54 59 14 57 35 30 40 76 20 74 41 73 °i 71 22 69 42 68 03 66 25 64 47 63 10 61 33 59 57 58 22 40 50 76 10 74 37 73 °2 71 27 69 52 68 19 66 45 65 11 63 37 62 05 60 32 59 00 50 3 OO 75 58 74 29 72 59 71 28 69 58 68 28 66 58 65 28 6358 62 29 61 01 59 31 3 OO IO 75 45 74 19 72 52 71 26 69 59 6833 67 06 65 39 64 13 62 47 61 21 59 56 10 20 75 28 74 05 72 43 71 20 69 56 68 32 67 10 «5 46 64 23 62 59 63 08 61 37 60 14 20 30 75 10 73 5° 72 3° 71 10 69 5° 68 30 67 09 65 49 64 28 61 47 60 27 30 40 74 49 73 32 72 15 7° 58 69 40 68 22 67 05 65 47 64 30 63 12 61 54 60 35 40 50 74 28 73 13 71 58 70 43 69 28 68 13 66 58 65 42 64 26 63 II 61 55 60 39 50 4 OO 74 03 72 51 71 38 70 26 69 13 68 00 66 47 65 34 64 20 63 06 61 53 60 39 4 00 10 73 38 72 28 71 17 70 06 6856 67 45 66 34 65 21 64 10 6259 61 47 60 35 10 20 73 " 72 03 7° 54 69 45 6836 67 28 66 18 65 08 6358 62 48 61 38 60 28 20 30 72 43 7i 36 70 29 69 22 68 15 67 07 65 59 64 51 63 43 62 35 61 27 60 18 30 40 72 13 71 08 70 02 6856 67 50 66 45 6538 64 32 63 25 62 18 61 12 60 04 40 50 71 42 70 38 69 34 68 30 67 24 66 20 65 15 64 09 63 05 62 00 60 54 59 48 50 5 OO 71 09 70 06 69 02 67 59 6f57 65 53 64 49 63 46 62 42 61 37 60 34 59 29 5 OO 10 70 34 69 33 68 31 67 29 66 27 65 24 64 22 63 19 62 16 61 14 60 11 59 07 10 20 69 58 6§ 5 8 67 56 6656 65 55 64 54 63 52 62 50 61 49 60 47 59 45 58 42 20 30 69 21 68 21 67 21 66 21 65 21 64 21 63 21 62 20 61 19 60 18 59 17 58 15 30 40 68 41 67 43 66 44 65 45 64 45 63 46 62 46 61 46 60 46 59 46 58 47 57 46 40 50 68 01 67 03 66 04 65 05 64 °7 63 °9 62 10 61 it 60 12 59 12 58 14 57 15 50 6 00 67 18 66 21 65 23 64 24 63 27 62 29 6l 31 60 33 59 35 58 36 57 39 56 40 6 00 10 6633 65 37 64 39 63 42 62 45 61 48 60 50 59 53 5856 57 58 57 00 56 02 10 20 65 46 64 50 63 54 62 58 62 01 61 04 60 08 59 10 58 14 57 17 56 20 55 23 20 30 6458 64 02 63 06 62 11 61 14 60 19 59 22 58 26 57 30 56 33 55 38 54 41 30 40 64 07 63 12 62 17 61 21 60 25 5 § 3 °. 58 34 57 38 56 43 55 47 54 52 53 56 40 50 63 14 62 19 61 24 60 28 59 34 5838 57 43 56 49 55 54 54 58 54 04 53 09 50 7 00 62 19 61 24 60 29 59 35 58 40 57 46 56 51 55 57 55 02 54 07 53 13 52 18 7 OO 10 61 20 60 26 59 32 58 37 57 43 56 49 55 55 55 01 54 07 53 13 52 19 51 26 10 20 60 19 59 25 5831 57 38 56 43 55 5° 54 56 54 03 53 10 52 16 51 23 50 29 20 30 59i6 58 23 57 28 56 35 55 4i 54 48 53 55 53 01 52 08 51 16 50 24 49 3i 30 40 5» 10 57 16 56 23 55 29 54 36 53 43 52 50 51 58 51 06 50 13 49 21 48 29 40 50 56 59 56 06 55 12 54 20 53 27 52 35 51 43 50 5° 49 59 49 07 48 15 47 24 50 8 OO 55 45 54 52 53 59 53 07 52 15 51 23 50 30 49 39 48 48 47 56 47 06 46 15 8 "OO 10 54 28 53 36 52 43 51 5° 50 59 50 08 49 16 48 25 47 34 46 44 45 53 45 04 10 20 53 08 52 14 51-22 5° 31 49 39 48 49 47 57 47 07 46 17 45 27 44 38 43 48 20 30 51 42 5° 5° 49 58 49 06 48 16 47 25 46 35 45 45 44 56 44 07 43 18 42 29 30 40 50 12 49 20 48 29 47 38 46 48 45 58 45 08 44 19 43 31 42 42 41 55 41 06 40 50 48 37 47 47 46 55 46 05 45 16 44 27 43 38 42 49 42 01 41 14 40 27 39 4i SO 9 OO 46 57 46 07 45 17 44 27 43 38 42 50 42 02 41 15 40 28 39 41 38 55 38 10 9 OO 10 45 13 44 23 43 33 42 45 41 56 41 °9 40 23 39 36 3850 38 04 37 20 36 35 IO 20 43 22 42 34 41 45 4° 57 40 09 39 24 3838 37 52 37 08 36 24 35 40 34 57 20 30 41 26 40 38 39 5i 39 °3 38 18 37 33 36 48 36 04 35 20 34 37 33 56 33 13 30 40 39 23 38 37 37 5° 37 05 36 20 35 37 34 53 34 10 33 29 32 47 32 07 31 27 40 50 37 14 36 29 35 44 35 °o 34 16 33 35 32 54 32 12 31 33 30 52 30 14 29 35 50 io 00 34 58 34 15 33 32 32 5° 32 09 31 29 30 48 30 09 29 31 2853 28 16 27 40 10 00 10 32 36 31 54 31 13 30 33 29 54 29 16 28 37 28 01 27 24 26 49 26 14 25 39 10 20 30 07 29 28 28 49 28 11 27 34 2658 26 23 25 47 25 13 24 41 24 08 23 35 20 30 27 31 26 55 26 18 25 42 25 08 24 35 24 01 23 29 22 58 22 28 21 57 21 27 30 40 24 48 24 14 23 41 23 09 22 37 22 06 21 36 21 07 20 37 20 09 19 42 19 15 40 50 21 59 21 29 2058 20 29 20 00 19 33 19 06 18 40 18 13 1748 17 24 16 59 50 11 00 19 °4 1837 18 10 17 44 17 19 16 55 16 30 16 08 15 45 15 22 15 02 14 40 11 OO 10 16 03 15 39 15 17 14 55 14 33 14 13 13 53 13 33 13 13 12 54 12 37 12 19 10 20 12 57 12 38 12 19 12 01 11 44 11 27 11 10 10 54 1039 10 24 10 09 9 54 20 30 9 47 9 32 9 18 9 °4 851 8 38 825 8 13 8 01 7 50 7 38 7 28 30 40 6 33 6 23 6 13 6 04 5 56 5 47 5 39 5 30 5 22 5 14 5 06 4 59 40 50 3 17 3 12 3 °8 3 °3 258 2 54 2 5° 2 45 2 41 2 38 2 34 2 30 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be-entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 86 AZIMUTH OR TRUE BEARING. LATITUDE 20°. DECLINATION-SAME NAME AS— LATITUDE. LATITUDE 20°. Hour Angle. li. 10 12 ill. 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 "00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 36° 00 00 7 17 6 48 14 18 13 21 20 47 19 28 26 39 25 04 3i 49 30 03 36,18 34 25 40 09 38 13 43 2 5 41 29 46 13 44 is 48 35 46 43 5° 35 48 46 52 18 53 44 54 56 55 57 56 48 57 29 58 04 58 30 5851 59 07 59 18 59 23 59 2 6 59 23 59 18 59 08 58 57 5842 58 24 58 03 57 41 57 15 56 45 56 15 55 40 55 °4 54 26 53 44 53 00 52 13 51 24 50 31 49 36 48 38 47 37 46 32 45 25 44 14 43 00 41 41 40 20 38 54 37 25 35 52 34 14 32 32 30 47 2857 27 04 25 05 23 04 20 58 18 48 1636 14 20 12 02 9 41 7 16 4 52 2 26 o 00 37° 50 31 52 01 53 16 54 21 55 14 55 59 56 36 57 06 57 29 57 47 58 00 5807 58 11 58 12 58 08 58 00 57 5° 57 36 57 19 57 00 5638 56 13 55 45 55 15 54 42 54 06 53 28 52 48 52 04 51 18 50 29 49 37 4» 43 47 45 46 45 45 42 44 34 43 24 42 11 4053 39 33 38 08 36 40 35 07 33 32 31 52 30 08 28 20 26 28 24 32 22 33 20 29 18 22 16 13 14 00 11 44 9 26 7 06 4 45 2 23 o 00 38° o 00 6 20 12 29 18 16 23 36 28 24 32 39 36 24 39 38 42 28 44 54 46 59 48 47 50 19 51 38 52 45 53 42 54 30 55 09 55 42 56 07 56 27 56 42 56 53 5658 57 00 56 57 56 51 56 42 56 29 56 14 55 56 55 35 55 10 54 44 54 15 53 43 53 0§ 52 30 51 51 51 08 50 23 49 34 39° 48 44 47 5° 46 53 45 53 44 50 43 43 42 35 41 22 40 05 3846 37 23 35 55 34 24 32 50 31 12 29 29 27 43 25 53 24 00 22 02- 20 02 17 58 15 50 13 40 11 27 9 12 b 56 4 38 2 20 00 o 00 5 57 II 43 17 12 22 16 26.53 31 00 34 40 37 53 40 42 43 09 45 15 47 06 48 40 50 01 51 12 52 II 53 01 53 43 54 18 54 46 55 08 55 25 55 37 55 44 55 48 55 46 55 42 55 35 55 24 55 09 54 52 54 32 54 09 53 44 53 15 52 44 52 10 51 33 50 54 50 13 49 28 48 40 47 50 46 57 46 00 45 02 43 59 42 54 41 46 40 34 39 18 38 00 3638 35 12 33 42 32 09 30 32 28 51 27 07 25 19 23 28 21 33 19 34 17 32 15 28 13 20 II II 8 59 6 46 4 32 2 16 40° o 00 5 35 11 01 16 12 21 01 25 27 29 28 33 02 36 12 39 °° 41 27 43 35 45 26 47 03 48 26 49 39 50 41 51 33 52 17 52 54 53 25 53 49 54o8 54 21 54 31 54 36 54 37 54 34 54 27 54 17 54 04 53 48 53 3o 53 07 52 42 52 15 51 45 51 12 50 36 49 58 49 16 4= 32 46 56 46 03 45 °8 44 10 43 09 42 04 40 56 39 45 38 31 37 13 35 52 34 27 32 59 31 27 29 52 28 13 26 31 24 45 22 55 21 02 19 07 17 07 15 °6 13 01 it>55 6 36 4 25 2 13 o 00 41° 5 14 10 23 15 17 19 54 24 09 28 01 31 30 34 37 37 23 39 49 41 58 43 50 45 29 46 54 48 09 49 12 50 07 50 53 51 32 52 04 52 30 52 51 53 °6 53 17 53 23 53 26 53 24 53 19 53 11 52 59 52 44 52 26 52 05 51 41 51 14 50 45 50 13 49 39 49 01 48 20 47 37 46 51 46 02 45 11 44 16 43 19 42 18 41 14 40 08 3858 37 45 36 28 35 08 33 45 32 18 30 47 29 14 27 36 25 55 24 11 22 24 20 34 18 40 16 44 14 44 12 42 10 39 8 33 6 26 4 18 2 09 o 00 42° 00 4 57 9 47 14 26 18 50 22 55 26 39 30 03 33 06 35 49 38 15 40 23 42 17 43 56 45 23 46 39 47 44 48 41 49 29 50 10 50 44 51 13 51 34 51 51 52 04 52 II 52 15 52 16 52 12 52 05 51 53 51 40 51 23 51 °3 50 40 50 15 49 46 49 14 48 40 48 04 47 24 46 42 45 56 45 09 44 17 43 24 42 28 41 27 40 25 39 19 38 10 3658 35 42 34 23 33 01 31 35 30 07 28 35 26 59 25 20 23 38 21 53 20 04 18 14 16 19 14 23 12 24 10 23 8 21 6 17 4 12 2 06 o 00 43° 44° 45° 46° 47° / / / / t 00 00 00 00 00 4 40 4 24 4 11 3 57 3 44 9 15 8 45 8 16 7 51 7 27 13 39 12 56 12 16 11 38 11 03 17 51 16 55 16 05 15 16 14 30 21 45 20 40 19 4° 18 43 17 49 25 22 24 09 23 00 21 56 20 55 23 48 28 39 27 21 26 06 24 56 31 39 30 16 2857 27 4i 26 29 34 20 32 54 31 32 30 13 28 57 36 44 35 16 33 53 32 31 31 13 3852 37 23 35 58 34 35 33 15 40 46 39 17 37 51 36 27 35 06. 42 26 40 58 39 31 38 08 36 45^ 43 53 42 26 41 00 39 37 38 15 45 11 43 45 42 20 40 56 39 35 46 18 44 53 43 29 42 07 40 46 47 16 45 52 44 3° 43 08 41 48 48 06 46 44 45 23 44 °2 42 42 48 49 47 28 46 08 44 49 43 3° 49 24 48 05 ■ 46 47 45 29 44 11 49 54 48 36 47 20 46 03 44 47 50 18 49 °2 47 47 46 31 45 16 50 37 49 22 48 08 ■ 46 54 45 40 50 50 49 37 48 25 47 12 45 59 51 00 49 48 48 37 47 25 46 13 51 °5 49 54 48 45 47 34 46 24 51 06 49 57 48 48 47 39 46 30 51 04 49 56 48 48 47 4o 4° 3i 5058 49 51 48 45 47 37 46 30 50 48 49 43 48 37 47 31 46 25 50 35 49 31 48 26 47 21 46 16 50 20 49 16 48 13 47 09 46 05 50 00 48 58 47 55 46 53 45 50 49 38 48 37 47 35 46 34 45 32 49 15 48 13 47 13 46 12 45 11 48 46 47 46 46 47 45 47 44 47 48 16 47 17 46 18 45 19 44 20 47 42 46 45 45 47 44 48 43 50 47 07 46 10 45 13 44 15 43 17 46 28 45 31 44 35 43 39 42 42 45 46 44 51 43 56 43 0° 42 04 45 02 44 08 43 13 42 18 41 23 44 15 43 21 42 28 41 33 40 39 43 25 42 32 41 39 40 48 40 46 39 53 42 32 4i 40 39 55 39 °3 41 36 40 44 39 54 39 02 38 II 40 37 39 47 38 57 38 06 37 16 39 35 3846 37 56 '37 °7 36 18 38 30 37 42 36 54 36 06 35 17 37 23 36 36 35 48 35 °I 34 13 36 11 35 25 34 39 33 53 33 °7 34 57 34 12 33 28 32 42 31 58 33 39 32 55 32 12 31 29 30 46 32 18 3i 36 30 54 30 12 29 30 30 54 29 26 30 13 29 33 28 52 28 12 28 48 28 09 27 29 26 51 27 57' 27 19 26 41 26 04 25 27 26 23 24 46 25 47 25 11 24 35 24 00 24 12 23 38 23 05 22 31 23 06 22 34 22 02 21 30 20 59 21 23 20 52 20 22 19 53 19 24 19 37 19 08 18 42 18 14 17 47 1748 17 22 1658 16 32 16 08 15 56 15 33 15 11 14 48 14 25 14 02 13 42 13 22 13 02 12 42 12 06 11 48 11 31 11 14 10 56 10 08 ?3 9 38 9 24 9 10 8 09 7 45 7 33 7 22 6 07 5 59 5 5o 5 41 5 32 4 06 3 59 3 53 348 3 42 2 03 2 00 1 57 1 54 I 51 00 00 00 00 00 Hour Angle. b. O 10 12 ill. 00 lO 20 30 40 SO 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 SO OO lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 87 AZIMUTH OR TRUE BEARING. LATITUDE 20°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 20°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. in. o / / / / / / / / / / / / Ii. 111. O 00 O 00 00 00 00 00 00 00 00 00 00 00 00 00 10 3 34 3 23 3 12 3 03 2 54 2 45 2 38 2 30 2 22 2 16 2 09 2 02 10 20 7 05 6 43 6 23 6 05 5 46 5 30 5 13 4 58 444 4 31 4 17 4 °5 6 05 20 30 IO 2Q 13 4 9 58 9 29 9 01 8 35 8 11 7 47 7 25 7 03 6 43 6 24 30 40 13 08 12 31 11 54 11 20 10 49 10 18 9 48 9 21 8 54 8 28 8 03 40 50 i° 57 16 09 15 24 14 40 13 59 13 20 12 42 12 07 11 33 11 00 10 29 9 58 50 1 00 19 57 19 02 18 09 17 19 16 32 x § 4 5 18 06 15 03 14 21 13 41 13 03 12 27 11 51 1 00 10 22 45 21 43 20 45 19 49 18 57 1? 16 16 29 15 45 15 01 1654 14 20 13 39 10 20 25 20 24 15 26 35 23 11 22 11 21 13 20 16 19 23 18 32 17 41 16 08 15 23 20 30 27 45 25 28 24 23 23 21 22 21 21 23 20 28 19 34 18 42 17 51 17 03 30 40 29 57 28 44 27 34 26 25 25 20 24 17 23 15 22 17 21 19 22 58 20 23 19 30 18 37 40 50 31 57 30 42 29 29 28 19 27 10 26 04 25 00 23 58 21 59 21 02 20 07 SO 2 OO 33 47 32 3° 31 15 30 04 28 54 27 45 26 38 25 34 24 31 23 30 22 30 21 32 2 00 10 35 26 36 55 34 08 32 53 31 38 30 27 29 17 28 08 27 02 25 56 24 52 23 51 22 50 10 20 35 37 34 20 33 06 31 52 30 41 29 31 28 22 27 16 26 11 25 07 24 04 20 30 38 15 36 56 35 39 34 24 33 10 31 58 30 46 29 37 28 29 27 22 26 17 25 13 30 40 39 26 38 08 ■ 36 51 35 35 34 21 33 07 31 56 30 46 29 37 28 29 27 22 26 17' 40 50 40 29 39 11 37 54 3 r > 39 35 24 34 II 32 59 31 48 30 38 29 29 28 21 27 15 50 3 00 41 24 40 07 38 51 37 35 36 21 35 07 33 55 32 45 31 34 30 24 29 16 28 08 .3 OO 10 42 13 40 57 39 41 38 26 37 11 35 58 34 46 33 35 32 23 31 13 30 05 28 57 10 20 42 55 41 39 40 24 39 I" 37 56 36 43 35 31 34 19 33 08 31 58 30 49 29 41 20 30 43 31 42 16 41 02 39 48 38 35 39 08 37 22 36 io 35 00 33 48 32 38 31 29 30 21 30 40 44 02 42 48 41 35 40 21 37 56 36 45 35 34 34 23 33 13 32 04 3° 55 40 50 44 27 43 14 42 01 40 49 39 37 3825 37 14 36 04 34 54 33 44 32 34 31 26 SO 4 OO 44 47 43 35 42 24 41 12 40 00 38 5° 37 39 36 29 35 20 34 10 33 01 31 52 4 00 lO 45 ° 2 43 51 42 41 41 30 40 20 39 10 38 00 36 51 35 41 34 32 33 23 32 15 IO 20 45 13 44 03 42 54 41 44 40 35 39 26 38 16 37 °7 35 58 34 50 33 41 32.33 20 30 45 21 44 12 43 03 41 54 40 45 39 37 38 28 37 20 36 12 35 °4 33 5° 32 49 30 40 45 24 44 16 43 08 42 00 40 52 39 45 38 37 37 30 36 22 35 14 34 08 33 00 40 50 45 24 44 17 43 09 42 03 40 56 39 48 38 42 37 35 30 28' 35 21 34 15 33 08 50 5 00 45 19 44 13 43 07 42 02 40 56 39 49 38 43 37 37 36 31c. 35 25 34 19 33 12 5 OO 10 45 12 44 07 43 02 41 56 40 51 39 47 3841 37 37 36 31 35 25 34 19 33 14 IO 20 45 00 43 57 42 53 41 48 40 44 39 40 3836 37 32 36 27 35 22 34 17 33 13 20 30 44 47 43 44 42 40 41 37 40 34 39 3i 38 27 37 24 36 19 35 16 34 12 33 08 30 40 44 29 43 28 42 25 41 23 40 21 39 18 38 15 37 13 36 09 35 °7 34 03 33 °° 40 50 44 10 43 08 42 07 41 05 40 04 39 03 38 00 36 59 35 56. 34 54 33 52 32 49 50 6 00 43 47 42 46 41 46 4° 45 39 44. 38 43 37 43 36 42 35 40 34 39 33 37 32 35 6 OO 10 43 21 42 21 41 21 40 21 39 22 38 22 37 21 36 22 35 21 34 21 33 20 32 19 IO 20 4252 41 54 40 54 39 55 38 57 37 58 3658 36 00 35 00 34 01 33 01 32 01 20 30 42 20 41 23 40 25 39 27 38 29 37 30 36 32 35 34 34 35 33 36 32 38 31 38 30 40 41 46 40 49 39 5J 38 55 37 58 37 00 36 03 35 06 34 08 33 11 32 13 31 I5 , 40 50 41 09 40 13 39 16 38 20 37 25 36 28 35 32 34 35 33 39 32 42 31 45 30 48 50 7 OO 40 28 39 34 3838 37 43 3648 35 53 34 57 34 02 33 06 32 II 31 15 30 18 7 OO 10 39 45 3 l 5 ? 37 57 37 03 36 09 35 15 34 20 33 26 32 31 31 37 30 42 29 46 IO 4 20 38 59 38 06 37 14 36 20 35 27 34 33 33 40 32 47 31 54 31 00 30 06 29 12 20 30 38 H 37 19 36 27 35 35 34 43 33 50 32 58 32 06 31 14 30 22 29 29 28 36 30 40 37 20 36 29 35 38 34 46 33 55 33 05 32 13 31 23 30 31 29 40 28 48 27 56 40 50 36 26 35 36 34 46 33 56 33 06 32 16 31 25 30 36 29 46 28.56 28 06 27 15 50 8 00 35 29 34 40 33 51 33 02 32 13 31 24 30 36 29 48 28 59 28 09 27 20 26 32 8 OO 10 34 29 33 42 32 54 32 06 31 19 30 31 29 44 28 56 28 08 27 21 26 33 25 46 10 20 33 27 32 41 31 54 31 07 30 22 29 35 28 49 28 02 27 16 26 30 25 44 24 57 20 30 32 22 31 37 30 5i 30 06 29 21 28 36 27 51 27 07 26 21 25 36 24 52 2407 30 40 31 14 . 30 29 29 45 29 02 28 18 27 35 26 51 26 08 25 24 24 41 23 58 23 15 40 50 30 "3 29 20 28 37 27 55 27 12 26 31 25 49 25 07 24 25 23 44 23 01 22 19 SO 9 00 28 48 28 08 27 27 26 45 26 05 25 24 24 44 24 04 23 23 22 43 22 03 21 22 9 OO 10 27 32 26 53 26 13 25 34 24 54 24 16 23 37 22 58 22 20 21 41 21 03 20 24 10 20 26 12 25 34 24 56 24 19 23 42 23 04 22 28 21 51 21 14 20 37 20 00 19 23 20 30 24 51 24 14 23 38 23 02 22 26 21 51 21 15 20 41 20 05 ,19 31 18 55 18 21 30 40 23 26 22 51 22 17 21 42 21 08 20 35 20 02 19 28 18 55 18 23 17 5° 17 17 40 50 21 58 21 25 20 53 20 21 19 49 19 17 18 46 18 15 17 44 17 13 16 41 16 11 50 10 00 20 28 19 58 19 27 1856 18 27 17 58 17 28 16 58 16 29 16 01 15 32 15 02 10 00 10 18 55 18 27 17 59 17 30 17 02 16 35 16 08 15 40 15 13 14 47 14 20 13 53 IO 20 17 20 16 54 16 28 16 02 15 37 15 11 14 46 14 21 13 56 13 32 13 07 12 42 20 30 15 44 15 19 14 55 14 32 14 08 13 46 13 22 13 00 12 37 12 15 II 52 11 3° 30 40 14 04 13 42 13 21 12 59 12 39 12 18 11 57 11 37 11 17 10 57 10 37 10 17 40 50 12 23 12 03 11 45 11 26 11 08 10 49 10 31 10 14 9 5° 9 38 9 20 9 02 50 11 00 10 40 10 24 10 07 s 51 9 35 9 19 9 °3 8 48 8 33 8 18 8 02 7 46 11 00 10 8 56 8 42 8 28 8 15 8 01 7 48 7 34 7 21 7 08 6 55 6 43 6 30 10 20 7 10 ° 59 6 48 ° 37 6 27 6 16 6 05 5 54 5 44 5 34 5 23 5 13 20 30 5 23 5 16 5 07 4 58 4 5° 4 42 4 34 4 27 4 19 4 11 4 03 3 56 30 40 3 36 3 30 3 25 3 20 3 14 3 09 3 03 2 58 2 53 2 47 2 42 2 37 40 50 1 48 1 45 I 42 1 39 1 37 1 34 1 32 1 29 1 27 1 24 1 22 1 19 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 88 AZIMUTH OR TRUE BEARING. LATJTUDIi 20°. DECLINATION— SAME NAME AS- LATITUDE. LATITUDE 20°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. n. in. o / / / / / / u / / / / / Ii. 111. OO O 00 00 00 00 00 00 00 00 00 00 00 00 10 I 57 1 51 1 45 1 40 1 35 1 29 I 24 1 20 1 16 1 11 1 06 10 20 3 52 3 41 3 30 3 19 3 09 2 58 2 49 2 40 2 31 2 22 2 14 20 30 5 47 5 3° 5 14 4 58 4 42 4 27 4 13 3 59 3 4° 3 33 3 20 30 40 7 39 7 17 6 55 6 34 6 14 5 54 5 35 5 18 5 00 4 42 4 26 40 50 9 30 9 02 8 35 8 09 7 44 7 20 6 57 6 34 6 12 5 51 5 3° 50 1 00 ii 17 10 44 10 13 9 42 9 12 8 44 8 16 7 49 7 24 6 58 ° 33 1 00 10 13 °° - 12 24 11 48 11 13 10 39 10 06 9 34 9.04 8 33 8 04 7 36 10 20 14 40 13 59 13 18 12 40 12 02 II 25 10 49 10 15 9 4i 9 08 8 36 20 30 16 16 15 31 14 47 14 03 13 22 12 41 12 02 11 24 10 47 10 10 9 3° 30 40 17 47 16 58 16 11 15 25 14 40 13 55 13 12 12 31 11 51 11 10 10 32 a 40 50 19 13 18 21 17.31 16 41 15 53 15 05 14 19 13 3° 12 52 12 09 11 28 50 2 00 20 35 19 41 18 47 17 54 17 03 16 13 IS 24 14 37 13 51 13 05 12 20 2 OO lO 21 51 2° 55 19 59 19 03 18 09 17 17 . 16 26 15 36 1446 13 58 13 11 10 20 23 04 22 04 21 06 20 08 19 12 18 18 17 24 16 31 15 4° 14 49 14 00 20 30 24 11 23 09 22 09 21 10 20 11 19 14 18 19 17 24 16 30 15 38 1446 30 40 25 12 24 09 23 08 22 07 21 07 20 08 19 10 18 14 17 19 16 23 ■ 15 3° 40 50 26 09 25 05 24 02 22 59 21 59 20 58 19 59 19 01 18 03 17 06 16 10 50 3 OO 27 02 25 57 24 52 23 49 22 47 21 45 20 43 19 44 1845 17 46 16 49 3 00 10 27 5° 26 44 25 39 24 34 23 3° 22 27 21 24 20 24 19 24 18 23 17 25 lO 20 28 33 27 26 26 21 25 15 24 10 23 06 22 03 21 01 19 59 18 58 17 58 20 30 29 12 28 04 26 58 25 52 24 47 23 42 22 38 21 35 22 06 20 32 19 30 18 29 30 40 29 47 28 39 2? 33 26 25 25 20 24 14 23 09 21 03 20 00 1858 40 50 30 18 29 10 28 03 2° 55 25 49 24 43 23 39 22 34 21 30 20 25 19 23 50 4 00 30 44 29 3° 28 29 27 22 26 15 25 10 24 03 22 58 21 54 20 49 19 46 4 00 lO 31 06 29 59 28 52 27 45 2638 25 32 24 25 23 21 22 16 21 II 20 07 10 20 .31 26 30 18 29 11 28 04 2658 25 51 24 45 23 4° 22 34 21 28 20 24 20 30 31 41 30 34 29 27 28 20 27 13 26 07 25 01 23 56 22 50 21 44 20 40 30 40 31 53 30 46 29 4° 2833 27 27 26 20 25 14 24 °9 23 03 21 57 20 52 40 50 32 02 30 55 29 49 28 43 27 36 26 30 25 24 24 19 23 13 22 08 21 03 50 5 OO 32 06 31 01 29 55 28 50 27 44 26 38 25 32 24 27 23 21 22 ]6 21 10 5 OO 10 32 09 31 04 29 59 28 53 27 47 26 42 25 37 24 32 23 26 22 21 21 17 10 20 32 08 31 03 29 59 2853 2748 26 44 25 39 24 34 23 29 22 24 21 20 20 30 32 03 31 00 29 56 28 51 27 47 26 43 25 3» 24 34 23 3° 22 25 21 21 30 40 31 57 30 53 29 50 28 46 27 42 26 38 25 3° 24 32 23 28 22 23 21 20 40 50 31 47 30 44 29 42 2838 27 3° 26 32 25 29 24 26 23 23 22 19 21 16 > 50 6 00 31 34 3" 32 29 31 28 28 27 26 26 23 25 21 24 19 23 16 22 12 21 10 6 OO 10 31 19 30 18 29 17 28 15 27 14 26 12 25 10 24 09 .23 07 22 04 21 03 10 20 31 01 30 01 29 00 28 00 26 59 25 59 24 58 23 57 22 56 21 54 20 53 20 30 30 40 29 40 28 42 27 41 26 42 25 42 24 42 23 42 22 42 21 41 20 42 30 40 30 17 29 18 28 21 27 22 26 22 25 24 24 24 23 25 22 26 21 27 20 27 40 50 29 51 28 54 27 5° 26 59 26 01 25 °3 24 04 23 07 22 09 21 10 20 12 50 7 00 29 22 28 26 27 30 2° 33 25 37 24 4° 23 42 22 46 21 48 20 50 19 53 7 OO lO 28 51 27 5° 27 01 26 06 25 10 24 14 23 18 22 23 21 26 20 30 19 33 10 20 28 19 27 25 26 31 25 3° 24 42 23 47 22 52 21 58 21 02 20 07 19 12 20 30 27 43 26 51 2558 25 °4 24 II 23 17 22 24 21 31 20 36 19 42 18 49 30 40 27 05 26 14 25 22 24 30 2338 22 46 21 53 21 01 20 09 19 15 18 23 40 50 26 25 25 35 24 45 23 54 23 03 22 12 21 21 20 30 19 39 18 48 17 57 50 8 OO 25 43 24 54 24 05 23 16 22 26 21 3° 20 46 19 58 19 08 18 18 17 28 8 OO 10 24 58 24 10 23 23 22 35 21 47 20 59 20 II 19 23 18 34 17 45 16 58 10 20 24 11 23 25 22 39 21 53 21 08 21 OO 20 20 19 33 1847 18 00 17 13 16 26 20 30 23 22 22 38 21 53 20 23 19 38 1853 18 08 17 23 16 38 15 53 30 40 22 31 21 49 21 05 20 22 19 38 18 55 18 11 17 28 1° 45 16 01 15 18 40 50 21 38 2° 57 20 16 19 34 18 53 18 10 17 28 16 47 16 05 15 23 14 41 50 9 OO 20 43' 20 03 19 23 18 44 18 03 17 24 16 43 16 03 15 23 14 44 14 °4 9 00 10 19 46 19 08 18 30 17 52 17 14 16 35 15 58 15 19 14 41 14 03 13 25 10 20 1847 18 11 17 35 1658 lb 22 15 4° 15 10 14 33 13 57 13 20 12 45 20 30 17 47 17 12 16 38 16 03 15 29 14 54 14 20 13 46 13 JI 12 37 12 03 30 40 16 44 16 11 15 39 15 07 14 34 14 01 13 29 12 57 12 25 11 52 II 20 40 50 15 40 15 09 14 39 14 08 1338 1308 12 37 12 07 11 37 11 06 10 36 50 10 00 14 35 14 06 13 38 13 09 12 08 12 40 12 12 11 44 II 16 10 48 10 20 9 5i 10 00 10 13 27 13 00 12 34 II 42 11 16 10 49 10 23 9 57 9 3i 9 06 10 20 12 18 11 54 11 30 11 06 10 42 10 18 9 55 9 30 9 06 8 42 8 19 20 30 11 08 10 47 10 25 10 02 9 41 9 19 858 8 37 8 15 7 53 7 31 30 40 9 57 9 37 9 18 858 8 39 8 19 8 00 7 4i 7 21 7 02 6 43 40 50 8 45 8 28 8 10 7 54 7 3° 7 19 7 02 6 45 6 29 6 11 5 55 50 11 00 7 32 7 17 7 02 6 47 6 32 6 17 6 03 5 49 5 34 5 19 5 05 11 OO 10 6 18 6 06 5 53 , 5 4i 528 5i6 5 03 4 51 4 39 4 26 4 15 10 20 5 03 4 53 4 43 4 33 4 24 4 13 4 03 3 54 3 44 3 34 3 24 20 30 3 47 3 40 3 33 3 25 3 18 3 10 3 03 2 55 2 49 2 41 2 32 30 40 2 33 2 27 2 22 2 17 2 12 2 07 2 02 1 58 1 52 I 48 1 42 40 50 1 17 1 13 1 11 1 08 1 06 I 04 1 01 59 57 54 ° 51 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In \orth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 89 AZIMUTH OR TRUE BEARING. latitude: 2i°. DECI,INATION- -SAME NAMB AS-LATITUDE. LATITUDE 21°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° m Hoar Angle. Ii. in. o / / 1 / / / / / / / / / Ii. 111. . OO 00 00 00 o"oo 00 00 00 00 00 00 00 00 O 00 10 37 07 29 26 24 09 20 20 17 30 15 18 13 34 12 08 10 57 9 5? 9 08 8 24 10 20 56 04 48 03 41 33 36 18 32 01 28 30 25 35 23 °9 21 04 19 16 17 43 16 22 20 30 6511 5829 52 32 47 18 42 4° 38 59 35 24 32 24 29 47 27 29 25 26 23 37 30 40 70 08 54 37 59 28 54 45 50 26 4° 33 43 02 39 52 37 00 34 26 32 06 30 00 40 50 73 °6 68 27 64 01 59 5° 55 54 52 15 4» 52 45 43 42 49 40 10 37 43 35 28 50 1 00 74 58 70 59 67 08 63 25 59 52 5° 29 53 19 50 19 47 29 44 52 42 23 40 05 1 00 10 76 12 72 43 69 19 66 00 62 47 59 42 5° 45 53 56 51 13 48 40 4° 15 43 57 lO 20 77 00 73 55 70 52 °7 54 64 59 62 09 59 25 56 46 54 12 51 4° 49 25 47 11 20 30 77 33 74 4° 72 01 69 18 66 39 64 02 61 29 59 0I 5636 54 17 52 03 49 53 30 40 77 52 75 21 72 5i 70 21 67 54 65 29 63 08 60 49 58 32 56 20 54 11 52 07 40 50 78 03 75 44 73 25 71 08 68 52 66 37 64 25 62 14 60 06 58 01 55 58 53 58 SO 2 OO 78 07 75 58 73 50 71 42 69 36 67 30 65 26 66 14 °3 23 61 22 59 24 57 27 55 - 3 3. 2 OO lO 78 05 76 05 74 06 72 07 70 08 68 11 64 17 62 22 60 30 5838 5648 10 20 77 59 76 07 74 15 72 23 70 31 68 41 66 50 65 00 63 11 61 25 59 38 57 52 20 30 77 SO 76 04 74 18 72 33 70 47 69 03 67 18 65 34 63 50 62 07 60 26 58 45 30 40 77 37 75 57 74 17 72 37 70 57 69 18 6738 65 59 64 20 62 42 61 05 59 28 40 50 77 22 75 47 74 13 72 37 71 02 69 27 67 52 66 17 °4 43 63 09 61 35 60 02 50 3 OO 77 05 75 34 74 04 72 33 71 02 69 31 68 01 66 29 64 59 63 29 61 58 60 29 3 OO lO 76 45 75 19 73 52 72 25 7058 69 3i 68 04 66 36 65 10 63,43 62 16 60 50 10 20 76 24 75 02 73 38 72 15 70 51 69 27 68 04 66 39 65 16 63 52 62 28 61 05 20 30 76 02 74 41 73 21 72 01 70 40 69 20 °7 59 66 38 °5 17 6356 62 34 61 14 30 40 75 37 74 20 73 03 71 45 70 27 69 09 °7 51 66 33 65 14 6356 62 37 61 19 40 50 75 " 73 56 72 42 71 26 70 12 68 56 67 40 66-25 65 08 63 52 62 36 61 20. 50 4 OO 74 43 72 32 72 19 71 06 69 53 68 39 67 26 66 13 64 59 63 45 62 31- 61 17 4 00 lO 74 15 73 05 71 54 70 43 69 32 68 21 67 10 6558 64 47 , 63 35 62 22 61 10 lO 20 73 45 72 37 71 28 70 19 69 10 68 01 66 51 65 41 64 31 63 21 62 10 61 00 20 30 73 13 72 06 71 00 69 53 6845 67 38 66 29 65 22 64 14 63 05 61 56 60 48 30 40 72 41 71 35 70 30 69 24 68 19 °7 13 66 06 65 00 63 53 62 46 61 39 60 32 40 50 72 07 71 02 &9.58 68 54 67 50 66 45 65 40 64 35 63 30 62 25 61 18 60 13 50 5 00 71 3i 70 28 69 25 68 23 67 19 66 15 65 12 64 08 63 04 62 00 °o 55 59 5i 5 OO lO 7° 54 69 53 6851 67 49 66 47 65 44 64 42 63 40 62 37 61 34 60 31 59 27 10 20 70 16 69 15 68 14 67 14 66. 13 65 12 64 10 63 08 62 07 61 06 60 03 59 00 20 30 69 36 6836 67 36 66 37 65 37 64 36 63 35 62 35 61 34 60 34 59 33 53 31 30 40 68 54 67 55 6657 65 57 °4 59 63 59 63 00 62 00 61 00 60 00 59 00 58 00 40 50 68 11 67 13 66 14 65 16 64 18 63 20 62 22 61 23 60 24 59 25 58 25 57 27 50 6 00 67 26 66 29 65 3i 64 33 63 36 62 38 61 41 60 43 59 44 58 47 57 48 5° 49 6 OO 10 6639 65 42 64 46 63 49 62 52 61 55 6058 60 01 59 03 58 06 57 08 56 10 10 20 65 51 64 55 6358 63 02 62 06 61 09 60 13 59 1° 58 20 57 23 56 27 55 29 20 30 65 00 64 04 63 09 62 12 61 17 60 21 59 25 5829 57 34 56 3» 55 42 54 46 30 40 64 07 63 12 62 17 61 22 60 27 59 31 58 36 57 41 5° 45 55 SO 54 54 54 °o 40 50 63 12 62 17 61 23 60 28 59 33 5838 57 44 5° 49 55 54 54 59 54 05 53 10 50 7 00 62 14 61 20 60 26 59 32 58 37 57 43 56 49 55 55 55 01 54 06 53 12 52 18 7 00 10 61 15 60 20 59 26 58 33 57 39 56 45 55 5i 54 58 54 05 53 " 52 17 51 24 lO 20 60 12 59 18 58 25 57 31 5°38 55 44 54 51 53 58 53 05 52 12 51 20 50 27 20 30 59 07 58 13 57 20 56 26 55 34 54 4° 53 48 52 55 52 03 51 11 50 19 49 27 30 40 57 58 57 05 56 12 55 20 54 27 53 35 52 42 51 50 5058 50 07 49 14 48 23 40 50 50 47 55 53 55 01 54 °9 53 1° '52 25 51 33 5° 41 49 50 48 59 48 07 47 17 SO 8 00 55 31 54 38 53 47 52 54 52 03 51 11 50 20 49 29 4838 47 48 46 57 46 07 8 00 10 54 13 53 19 52 28 51 37 50 46 49 55 49 °4 48 13 47 23 4° 33 45 44 44 54 lO 20 52 50 51 57 51 06 5° 15 49 25 48 34 47 45 46 55 46 05 45 15 44 27 43 38 20 30 51 23 50 31 49 40 48 50 47 59 47 10 46 21 45 31 44 43 43 54 43 06 42 18 30 40 49 52 49 00 48 10 47 20 46 31 45 42 44 53 44 05 43 16 42 29 41 42 40 55 40 50 48 16 47 26 46 36 45 46 44 57 44 08 43 20 42 33 41 46 41 00 40 13 39 27 50 9 00 46 36 45 45 44 56 44 07 43 19 42 31 41 44 40 58 40 11 39 26 3841 37 57 9 OO lO 44 49 43 59 43 " 42 23 41 3° 40 50 40 04 39 18 38 34 37 49 37 05 36 22 lO 20 42 58 42 10 41 22 40 35 39 49 39 04 38 19 37 35 36 51 36 07 35 24 34 42 20 30 41 01 40 14 39 27 38 42 37 57 37 12 36 29 35 4° 35 03 34 21 33 40 32 59 30 40 3858 38 12 37 26 36 43 35 59 35 16 34 34 33 52 33 " 32 31 31 51 31 11 40 50 36 49 36 04 35 20 34 38 33 56 33 15 32 34 31 54 31 15 30 37 29 58 29 21 50 lO 00 34 32 33 50 33 09 32 28 31 47 31 08 30 29 29 5i 29 13 28 37 28 00 27 25 10 00 10 32 n 31 30 30 51 3° Iz 29 34 28 56 28 19 27 43 27 08 26 33 25 58 25 25 10 20 29 43 29 04 28 27 27 50 27 14 26 39 26 05 25 30 24 57 24 26 23 53 23 22 20 30 27 09 26 32 25 57 25 23 24 49 24 16 23 45 23 14 22 43 22 13 21 43 21 15 30 40 24 27 23 53 23 21 22 50 22 19 21 49 21 20 20 51 20 23 19 5° 19 30 19 03 40 SO 21 39 21 09 20 40 20 12 19 44 19 17 18 51 18 26 18 00 17 3° 17 12 16 49 50 11 00 IS 46 18 19 17 53 17 29 17 05 16 41 16 18 15 55 15 34 15 12 14 51 14 31 11 OO 10 15 47 15 25 15 03 14 41 14 21 14 01 13 41 13 22 13 04 12 46 12 28 12 10 lO 20 12 44 12 26 12 08 11 50 11 34 . II 17 11 01 10 46 10 31 10 16 10 02 9 47 20 30 9 37 9 22 9 09 8 55 8 43 8 30 8 18 8 06 7 55 7 44 7 33 7 22 30 40 6 26 6 16 6 08 5 58 5 50 5 41 5 33 5 25 5 18 " 5 10 5 03 4 55 40 50 3 14 3 09 3 04 3 00 2 55 2 51 2 47 2 43 2 39 2 35 2 31 2 28 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 90 AZIMUTH OR TRUE BEARING. latitude: 2i°. DECLINATION- SAME NAME AS -LATITUDE. LATITUDE 21°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. 111. O l / / / / / / 1 t / / / b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 O OO 10 7 45 7 11 6 42 615 5 51 5 3° 5 10 4 Si 4 35 4 20 4 06 3 53 IO 20 15 " 14 07 13 10 12 19 11 33 10 52 10 13 9 38 9 06 8 36 8 08 7 42 20 30 22 01 20 33 19 14 18 02 .16 57 15 58 15 °3 14 12 13 27 12 44 12 03 11 26 30 40 28 05 26 21 24 45 23 19 21 58 20 45 19 36 18 33 17 33 16 39 15 48 14 59 40 SO 33 23 31 28 29 42 28 04 26 32 25 07 23 48 22 34 21 25 20 21 19 20 18 23 50 1 OO 37 55 35 55 34 °2 32 16 30 37 29 °5 27 38 26 16 24 59 2346 22 39 ' 21 34 1 OO io 4i 47 39 44 37 48 35 59 34 15 32 38 31 05 29 37 28 15 26 56 25 42 24 31 10 20 45 02 43 00 41 03 39 12 37 27 35 46 34 10 32 39 31 12 29 49 28 29 27 14 20 30 47 47 45 46 43 52 42 01 40 14 38 33 36 55 35 21 33 52 32 26 31 03 29 45 30 40 50 06 48 08 46 15 44 26 42 39 40 58 39 20 37 45 36 14 34 46 36 52 33 21 32 00 40 SO 52 02 50 08 48 17 46 30 44 46 43 °6 41 28 39 53 38 21 35 26 34 oj 50 2 00 53 39 51 50 50 02 48 17 46 35 44 56 43 20 41 45 40 13 38 45 37 18 35 54 2 00 10 55 01 53 15 51 3i 49 49 48 09 46 32 44 57 43 23 41 52 40 24 3858 37 33 10 20 56 09 54 27 52 46 51 07 49 30 47 55 46 21 44 49 43 20 41 52 40 26 39 ° 2 20 30 57 07 55 27 53 49 52 14 5° 39 49 °6 47 35 46 05 44 36 43 °9 41 44 40 20 30 40 57 52 56 17 54 43 53 09 51 38 50 07 4838 47 1° 45 43 44 18 42 53 41 3° 40 SO 58 30 56 58 55 27 53 57 52 27 50 59 49 32 48 06 46 40 45 16 43 53 42 31 50 3 00 59 °° 57 31 56 03 54 35 53 09 5i 43 50 18 48 53 47 29 46 07 44 45 43 24 3 00 10 59 24 57 58 56 33 55 07 53 43 52 19 5° 56 49 33 48 11 46 50 4 5 3 2 44 10 IO ■ 20 59 41 58 17 56 55 55 33 54 10 5* 49 51 28 50 07 48 47 47 27, 46 08 44 49 20 30 59 53 58 33 57 12 55 52 54 32 53 13 51 53 5° 33 49 15 47 58 46 40 45 23 30 40 60 01 58 42 57 24 56 06 54 48 53 30 52 13 50 56 49 39 48 22 47 06 45 5° 40 50 60 03 58 47 57 3i 5° 16 54 59 53 44 52 28 51 12 49 57 48 42 47 27 46 12 50 4 00 60 02 58 48 57 34 56 20 55 06 53 52 52 38 51 23 50 10 48 57 47 44 46 30 4 00 10 59 58 58 45 57 33 56 20 55 08 53 56 52 44 51 31 50 19 49 °7 47 55 46 43 10 20 59 50 5| 39 57 28 56 17 55 07 53 57 52 45 51 34 5° 23 49 12 48 02 46 51 20 30 59 38 58 29 57 20 50 11 55 °i 53 52 52 43 51 33 50 24 49 15 48 04 46 55 30 40 59 2 4 58 17 57 09 56 01 54 53 53 46 52 38 51 29 50 20 49 12 48 04 46 55 40 50 59 "7 58 00 56 55 55 48 54 41 53 35 52 28 51 20 5° 14 49 °7 47 59 46 52 50 5 00 58 47 57 42 5636 55 31 54 26 53 21 52 15 51 °9 50 04 48 58 47 52 46 46 5 OO 10 58 24 57 20 56 16 55 12 54 08 53 °4 51 59 5° 54 49 5° 48 45 47 41 46 35 10 20 57 59 5656 55 53 54 5° 53 47 52 45 51 41 50 37 49 34 48 30 47 26 46 22 20 30 57 30 56 29 55 27 54 26 53 24 52 22 51 19 5° 17 49 14 48 11 47 09 46 06 30 40 ■ 57 00 55 59 54 59 53 58 52 57 51 56 50 54 49 53 48 51 47 50 46 48 45 45 40 60 56 27 55 28 54 27 53 28 52 28 51 28 50 27 49 26 48 26 47 26 46 25 45 23 SO 6 OO 55 51 54 52 53 54 52 55 51 55 50 57 49 57 4 ! 5 Z 47 58 4658 45 58 44 58 6 00 10 55 13 54 15 53 17 52 18 51 21 50 23 49 24 48 26 47 27 46 28 45 29 44 29 IO 20 54 33 53 35 5238 51 4i 50 44 49 47 48 49 47 51 46 53 45 55 44 57 43 58 20 30 53 50 52 53 51 57 51 00 50 04 49 08 48 25 48 10 47 13 46 16 45 19 44 23 43 25 42 48 30 40 53 04 52 08 51 12 50 17 49 21 47 29 46 33 45 37 44 41 43 45 40 SO 52 15 51 20 50 25 49 30 48 36 47 41 46 46 45 5° 44 55 44 00 43 °4 42 09 50 7 00 51 24 50 30 49 36 48 42 47 47 46 54 45 59 45 04 44 10 43 16 42 21 41 26 7 00 10 50 30 49 37 48 43 47 49 46 56 46 03 45 1° 44 16 43 23 42 29 41 36 40 42 10 20 49 34 48 40 47 48 •46 56 46 03 45 11 44 17 43 25 42 32 41 39 40 47 39 54 20 30 48 34 47 42 46 5i 45 58 45 °6 44 14 43 22 42 31 41 39 40 48 39 56 39 03 30 40 47 32 46 41 45 49 44 58 44 07 43 16 42 25 41 34 40 43 39 52 39 ° 2 38 II 40 SO 46 26 45 35 44 45 43 55 43 °4 42 14 41 24 4° 34 39 44 38 55 38 °5 37 15 50 8 00 45 17 44 27 43 38 42 48 4i 58 41 10 40 20 39 31 38 43 37 53 37 05 36 16 8 OO 10. 44 05 43 15 42 28 4i 38 40 50 40 02 39 14 38 04 38 26 37 38 36 5° 30 03 35 14 10 20 42 50 42 02 41 14 40 26 39 38 38 51 37 1° 36 30 35 44 34 56 34 1° 20 30 41 31 40 44 39 57 39 i° 38 23 37 38 36 51 36 05 35 19 34 34 33 48 33 03 30 40 40 08 39 21 38 36 37 50 37 05 36 20 35 34 34 49 34 °5 33 21 32 37 31 53 40 50 38 42 37 57 37 12 36 27 35 43 34 59 34 16 33 32 32 49 32 05 31 23 30 40 SO 9 00 37 12 36 28 35 45 35 00 34 18 33 35 32 52 32 10 31 28 3° 47 30 06 29 24 28 06 9 00 10 35 38 34 56 34 13 33 31 32 49 32 08 31 27 3046 30 06 29 26 2845 IO 20 34 00 33 19 32 38 31 57 31 17 3038 2958 29 18 28 40 28 01 27 23 26 45 20 30 32 19 31 38 3° 59 30 20 29 42 - 29 04 28 25 27 48 27 11 26 33 25 57 25 20 30 40 30 33 29 55 29 17 28 39 28 03 27 26 26 50 26 14 25 38 25 03 24 28 23 54 40 50 2843 28 07 27 31 26 55 26 20 25 45 25 11 24 37 24 03 23 30 22 56 22 24 50 10 00 26 50 26 15 25 42 2508 24 34 24 02 23 29 22 57 22 25 21 54 21 23 20 52 10 00 10 24 52 24 19 23 47 23 16 22 45 22 15 21 43 21 14 20 44 20 15 19 46 19 17 10 20 22 51 22 21 2t 51 21 21 20 52 20 25. 19 57 19 29 19 01 1834 18 07 17 41 20 30 20 45 20 18 19 51 19 24 18 57 18 31 18 05 17 40 17 15 16 51 16 26 16 02 30 40 18 37 18 12 17 47 17 23 16 59 1458 16 35 16 12 15 49 15 27 15 04 13 16 14 42 14 21 40 SO 16 25 16 03 15 4i 15 19 14 37 14 16 13 56 13 36 12 57 12 38 50 11 OO 14 11 13 51 13 32 13 13 12 54 12 36 12 18 12 00 11 43 11 26 II 10 10 52 11 00 IO " 53 11 37 11 20 11 04 10 49 10 34 10 19 10 03 9 49 9 35 9 20 9 06 ' 10 20 9 33 9 20 9 °7 8 54 8 41 8 29 817 8 04 7 53 7 41 7 30 7 18 20 30 7 12 7 02 6 52 6 42 6 32 6 23 6 14 6 04 5 56 5 47 5 39 5 30 30 40 4 49 4 42 4 35 4 29 4 22 4 16 4 10 4 03 3 58 3 52 3 46 3 40 40 SO 2 25 2 21 2 18 2 14 2 11 2 08 2 05 2 02 1 59 1 56 1 54 I 51 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude,, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and. the supplement of the tabulated azimuth is to be taken for the required true bearing. 91 AZIMUTH OR TRUE BEARING. LATITUDE 21°. DECI.INATION- -SAME NAME AS— LATITUDE. LATITUDE 21°. H our Angle. 48° 49° 50° 5i° 52° 53° 54° 55° 66° 57° 58° 59° Hour Angle. li> in. o / / / / / / / / / / / / ft. 111. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 OO 10 3 40 3 30 3 19 3 08 2 59 2 50 2 41 2 34 2 26 2 18 2 12 2 05 10 20 7 19 656 6 35 • 6 15 §= 6 5 39 5 22 5 06 4 5i 4 37 6 53 4 23 4 10 6 13 20 30 io 51 10 18 9.47 9 18 8 50 8 24 8 00 7 36 7 14 6 32 30 40 14 15 13 32 12 53 12 15 11 39 11 05 10 33 10 02 9 34 9 06 8 39 8 14 40 50 17 29 16 39 15 5° 15 05 14 22 13 4i 13 02 12 25 11 50 11 15 10 43 10 12 50 1 00 20 33 19 34 1839 17 47 16 57 16 10 15 25 14 41 14 00 16 06 13 20 12 42 12 06 1 00 10 10 23 24 22 20 21 l8 20 21 19 25 18 32 17 41 16 52 15 21 14 37 13 57 20 26 02 24 53 23 48 22 45 21 44 20 46 19 50 18 56 18 05 1958 17 16 16 27 15 42 20 30 28 28 27 16 26 06 24 59 23 54 22 51 21 52 20 54 19 05 18 13 17 23 30 40 30 41 29 26 28 12 27 02 25 54 24 49 23 46 22 45 21 45 20 48 19 53 18 59 40 50 32 42 31 24 30 09 2857 27 46 26 37 25 31 24 27 23 25 22 24 21 26 20 29 50 2 00 34 33 33 13 31 56 3<>4i 29 28 28 18 27 10 26 03 24 59 26 25 23 56 22 54 24 16 21 55 2 OO 10 20 10 3° 11 34 51 36 19 33 33 32 17 31 03 29 5o 28 40 27 31 25 20 23 15 20 37 40 35 00 33 43 32 28, 31 15 30 03 2853 27 44 26 38 25 33 24 29 30 3858 37 38 36 19 35 02 33 46 32 32 31 19 30 07 28 58 27 49 26 42 25 37 30 40 40 09 38 48 37 29 36 12 34 56 33 4i 32 28 31 16 30 05 28 55 27 48 26 41 40 50 50 41 10 39 50 38 32 37 15 35 58 34 43 33 30 32 18 31 06 29 56 28 47 27 40 3 00 42 04 40 45 39 27 38 10 36 54 35 40 34 26 33 13 32 01 30 50 29 41 28 32 3 00 10 42 51 41 33 40 16 38 59 37 44 36 30 35 16 34 03 32 51 31 40 30 29 29 21 lO 20 43 31 42 14 40 58 39 42 38 27 37 13 36 00 34 47 33 35 32 24 31 14 30 05 20 30 44 06 42 50 4i 34 40 20 39 °5 37 5i 36 39 35 26 34 14 33 03 31 53 30 43 30 40 44 35 43 20 42 05 40 51 39 37 38 24 37 12 35 59 34 48 33 37 32 27 31 18 40 50 44 59 43 45 42 31 41 17 40 04 38 52 37 41 36 29 35 18 . 34. 07 32 57 31 48 50 4 00 45 17 44 03 42 51 4i 39 40 27 39 16 38 04 36 53 35 42 34 31 33 22 32 13 4 00 10 45 31 44 19 43 08 41 56 40 45 39 34 38 24 37 14 36 03 34 53 33 44 32 35 10 20 45 40 44 30 43 19 42 09 40 59 39 48 38 39 37 29 3« 19 35 10 34 02 32 53 20 30 45 46 44 36 43 26 42 17 41 08 39 5? 3850 37 41 36 32 35 23 34 15 33 °7 30 40 45 47 44 39 44 38 43 30 42 22 41 14 40 06 38 57 37 49 36 4i 35 32 34 25 33 18 40 50 45 45 43 30 42 23 41 16 40 08 39 01 37 54 36 47 35 39 34 32 33 24 50 5 00 45 39 44 33 43 27 42 20 41 14 40 07 39 01 37 55 3648 35 41 34 35 33 28 5 OO 10 45 31 44 25 43 19 42 14 41 09 40 03 38 58 37 52 36 46 35 4i 34 35 33 29 lO 20 45 18 44 14 43 09 42 05 41 00 39 55 38 51 37 46 3642 35 37 34 31 33 26 20 30 45 02 43 59 42 56 41 53 40 48 39 45 38 41 37 37 36 33 35 29 34 25 33 21 30 40 44 43 43 41 42 39 41 36 40 34 40 16 39 31 38 28 37 26 36 22 35 19 34 15 33 12 40 50 44 22 43 21 42 19 41 18 39 14 38 13 37 11 36 08 35 05 34' 03 33 01 50 6 OO 43 58 42 58 41 56 40 57 39 56 38 54 37 53 36 53 35 51 34 49 33 48 32 46 6 00 10 43 31 42 31 41 31 40 32 39 32 3 ? 3 ? 37 32 3632 35 3i 34 31 33 30 32 29 lO 20 43 00 42 01 41 03 40 05 39 05 38 06 37 07 36 08 35 08 34 09 33 09 32 09 20 30 42 27 41 30 40 32 39 35 3836 37 38 36 40 35 42 34 44 33 44 32 46 31 47 30 40 41 52 40 55 39 58 3 S °J 38 04 37 07 36 10 35 12 34 15 33 17 32 20 31 22 40 50 41 13 40 18 39 21 38 26 37 30 36 33 35 37 34 41 33 45 3248 31 51 3° 54 50 7 OO 40 32 39 37 3842 37 47 36 52 35 57 35 02 34 06 33 11 32 16 31 20 30 24 7 00 10 39 48 38 54 38 00 37 06 36 12 35 18 34 24 33 30 32 35 31 41 30 46 29 52 10 20 39 01 38 09 37 X S 36 23 35 30 34 37 33 44 32 50 31 58 31 04 30 10 29 17 20 30 38 12 37 20 36 28 35 36 34 45 33 53 33 01 32 09 31 16 30 24 29 32 28 39 30 40 37 20 36 29 35 38 34 48 33 57 33 °6 32 15 31 24 30 33 29 42 28 51 27 59 40 50 36 25 35 35 34 46 33 56 33 07 32 16 31 27 3038 29 47 28 57 28 07 27 17 50 8 OO 35 28 34 38 33 50 33 oi 32 13 31 25 30 37 29 48 29 00 28 10 27 22 26 33 8 OO 10 34 27 33 40 32 52 32 05 31 18 30 3° 29 43 28 48 28 56 28 09 27 22 26 34 25 47 lO 20 33 24 32 38 31 51 31 06 30 20 29 33 28 02 27 16 26 30 25 44 24 59 20 30 32 18 31 33 30 48 30 03 29 18 28 33 27 49 27 05 26 21 25 36 24 52 24 08 30 40 31 10 30 25- 29 41 2859 28 15 27 32 26 49 26 06 25 23 24 4° 23 58 23 15 40 50 29 58 29 16 28 34 27 51 27 10 26 28 25 47 25 05 24 24 23 41 23 01 22 20 50 9 00 2843 28 03 27 21 26 41 26 02 25 21 2441 24 01 23 21 22 42 22 02 21 22 9 00 10 27 27 26 47 26 08 25 30 24 5i 24 11 23 33 22 55 22 17 21 39 21 01 20 23 10 20 26 07 25 29 24 52 24 15 23 38 23 00 22 24 21 47 21 11 20 35 19 58 19 23 20 30 24 44 24 °9 23 32 22 57 22 22 21 47 21 12 20 37 20 03 19 28 18 54 18 20 30 40 23 19 22 45 22 11 21 37 21 04 20 31 19 59 19 26 1853 18 19 17 47 17 15 40 50 21 52 21 20 20 48 20 16 19 45 19 13 1843 18 12 17 4i 17 09 16 39 16 08 SO lO OO 20 22 19 51 19 21 18 52 18 23 17 53 17 24 16 55 16 26 15 58 15 30 15 01 10 00 10 18 49 18 21 17 53 17 25 16 58 16 31 16 04 15 38 15 11 14 44 14 18 13 52 lO 20 17 14 16 48 16 23 15 58 15 32 15 07 14 43 14 18 13 54 13 29 13 05 12 41 20 30 15 37 15 14 14 51 14 28 14 05 13 41 13 20 12 57 12 35 12 13 11 50 11 29 30 40 13 58 13 37 13 17 12.55 12 35 12 15 11 54 11 34 11 14 10 54 10 35 10 15 40 50 12 18 12 00 11 40 11 23 11 04 10 46 10 29 10 11 9 53 9 36 9 18 9 00 50 11 00 10 36 10 19 10 04 9 47 9 32 9 16 9 01 8 45 8 30 815 8 00 7 46 11 OO 10 852 8 39 825 8 12 7 59 7 45 7 32 7 19 7 07 6 54 6 41 6 29 lO 20 7 08 656 6 46 6 35 6 24 6 13 6 03 5 52 5 42 5 32 5 22 5 12 20 30 5 21 5 14 5 05 4 57 4 49 4 41 4 33 4 25 4 17 4 09 4 02 3 54 30 40 3 34 3 29 3 24 3 18 3 13 3 07 3 02 2 57 2 52 2 46 2 41 2 36 40 50 1 48 1 45 1 42 1 39 136 I 34 1 31 1 28 1 26 1 23 1 21 I 18 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or. East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. . When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 92 AZIMUTH OR TRUE BEARING. LATITUDE 21°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 21°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / / / / / / / / / / h. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 lO 53 1 53 1 47 1 41 1 37 1 31 1 26 1 21 1 17 1 12 1 08 10 20 3 45 3 34 3 22 3 12 3 02 2 52 2 43 2 33 2 24 2 15 20 30 5 54 5 37 5 20 5 °3 448- 4 32 4 17 4 °J 3 49 3 36 3 23 30 40 7 49 7 26 7 03 6 42 6 21 6 01 5 41 5 22 5 °4 4 47 4 30 40 50 9 4i 9 '3 8 45 8 19 7 52 7 28 7 °4 6 40 6 18 5 56 5 35 SO 1 OO n 30 10 57 10 25 9 53 9 22 8 53 825 7 58 7 30 7 °4 6 40 1 OO 10 13 16 12 38 12 00 11 24 10 49 10 15 9 43 9 11 8 41 8 11 7 42 . 10 20 14 57 H 15 13 33 12 53 14 18 12 14 11 37 11 00 10 24 9 49 9 17 844 20 30 16 35 15 48 15 02 13 35 12 54 12 14 11 35 10 56 10 19 9 43 30 - 40 18 07 17 16 16 27 15 4° 14 53 16 08 14 08 13 25 12 42 12 01 11 21 i°4J 40 50 19 34 18 40 17 48 16 57 15 20 14 33 13 47 13 °2 12 19 11 37 50 2 00 20 56 20 00 19 °5 18 12 17 19 16 28 15 39 14 5° 14 02 13 16 12 30 2 00 lO 22 14 21 15 20 17 19 21 18 26 17 32 16 40 15 49 14 58 14 09 13 22 10 20 23 26 22 25 21 26 20 27 19 29 1834 17 39 lb 45 15 52 15 °i 14 10 20 30 24 33 23 3° 22 29 21 29 20 29 19 31 18 34 17 38 16 43 IS 5° 14 57 30 40 25 35 24 31 23 28 1 22 26 21 25 20 25 19 26 18 28 17 31 16 36 15 41 40 50 26 32 25 27 24 22 23 19 22 16 21 14 20 14 19 15 18 16 17 19 16 22 50 3 00 27 24 26 17 25 12 24 08 23 °4 22 01 20 59 19 58 18 56 17 58 17 01 3 OO 10 28 12 27 °4 25 58 24 53 23 48 22 44 21 41 20 39 19 37 18 36 17 37 10 20 28 55 27 47 26 40 25 34 24 28 23 23 22 19 21 16 20 13 19 11 18 10 20 30 29 33 28 25 27 18 26 II 25 °4 23 59 22 53 21 49 20 46 19 43 18 41 30 40 30 07 29 00 27 52 26 44 25 37 24 31 23 25 22 20 21 15 20 12 19 °9 40 50 30 38 29 30 28 21 27 13 26 06 24 59 23 54 22 47 21 42 20 38 19 35 50 4 00 31 04 29 55 28 47 27 39 26 31 2525 24 19 23 12 22 06 21 01 19 57 4 00 lO 31 26 30 17 29 09 28 02 26 54 25 47 24 4° 23 33 22 28 21 22 20 18 10 20 31 44 30 35 29 28 ' 28 21 27 13 26 06 24 59 23 52 22 46 21 40 20 35 20 30 31 59 3° 5i 29 43 2 f 36 27 28 26 21 25 15 24 08- 23 02 21 56 20 50 30 40 32 10 31 02 29 55 28 48 27 40 26 34 25 27 24 21 23 15 22 09 21 03 40 50 32 17 31 11 30 04 28 57 27 5° 26 43 25 37 24 31 23 24 22 18 21 13 50 5 OO 32 21 3* 15 30 09 29 03 27 56 26 50 25 44 2548 24 38 23 31 22 26 21 21 5 OO lO 32 23 31 17 30 12 29 06 28 00 26 54 24 43 23 36 22 31 21 26 10 20 32 21 31 16 30 10 29 06 28 00 26 55 25 5° 24 44 23 39 22 34 21 29 20 30 32 16 31 n 30 07 29 °3 27 58 26 54 25 49 24 44 23 39 22 34 21 30 30 40 32 08 31 °4 30 01 28 57 27 53 26 49 25 45 24 41 23 36 22 32 21 28 40 50 31 58 30 55 29 52 28 49 27 45 26 42 25 39 24 35 23 32 22 28 21 24 50 6 00 31 44 30 42 29 40 28 38 27 35 26 33 25 3° 24 27 23 23 22 21 21 19 6 00 lO 31 27 30 27 29 26 28 25 27 22 26 21 25 19 24 17 23 14 22 12 21 10 lO 20 31 09 30 48 30 09 29 48 29 08 28 08 27 07 26 06 25 °5 24 04 23 02 22 01 21 00 20 30 28 49 27 5° 26 50 25 49 24 49 23 49 22 49 21 48 20 48 30 40 30 24 29 25 28 27 27 28 26 29 25 3° 24 32 23 32 22 32 21 32 20 33 40 50 29 57 29 00 28 02 27 05 26 07 25 °9 24 11 23 13 22 14 21 15 20 17 50 7 00 29 28 28 31 27 35 26 39 25 42 24 45 23 49 22 52 21 54 20 56 19 59 7 00 10 28 56 28 01 27 06 26 11 25 15 24 19 23 23 22 27 21 31 20 34 1938 10 20 28 23 27 29 26 35 25 41 24 4° 23 51 22 57 22 02 21 06 20 12 IQ ID 20 30 27 46 26 54 26 01 25 08 24 14 23 21 22 28 21 34 20 41 19 47 i§53 30 40 27 09 26 17 25 25 24 33 23 42 22 50 21 58 21 05 20 13 19 20 18 27 40 50 26 27 25 37 24 47 23 56 23 °6 22 16 21 25 2° 33 19 42 18 51 18 00 50 8 00 25 45 24 55 24 07 23 18 22 28 21 40 20 50 20 00 19 11 18 21 17 31 8 OO 10 24 59 24 12 23 25 22 37 21 49 21 01 20 14 19 25 18 37 17 49 17 01 10 20 24 12 23 26 22 40 21 54 21 07 20 21 19 35 18 55 18 49 18 02 17 15 16 29 20 30 23 23 22 38 21 54 21 09 20 24 19 4° 18 10 17 25 16 40 15 55 30 40 22 32 21 49 21 06 20 23 19 4° 18 57 18 14 17 3° 16 46 • 16 03 15 20 40 50 21 38 20 57 20 15 19 34 18 53 18 11 17 30 16 49 16 07 15 25 14 44 50 9 OO 20 43 20 03 19 23 18 44 18 04 17 24 16 45 16 04 15 25 14 45 14 °5 9 00 10 19 45 19 07 18 30 17 52 17 13 16 3° 15 58 15 20 1442 1404 13 26 lO 20 18 46 18 10 17 35 16 59 16 22 15 46 15 l° 14 34 13 58 13 22 12 46 20 30 17 43 17 II 16 37 16 03 15 28 14 55 14 21 13 46 13 12 12 38 12 04 30 40 16 42 16 10 15 38 15 °° 14 33 14 02 13 29 12 57 12 25 11 53 11 21 40 50 15 38 15 t>9 14 38 14 08 13 37 13 °7 12 38 12 07 11 37 11 07 10 37 50 10 00 14 32 14 °4 13 37 13 °8 12 40 12 12 11 44 11 16 10 48 10 20 9 53 10 00 lO 13 25 12 59 12 33 12 07 11 .41 11 15 10 50 10 24 9 58 9 3i 9 06 lO 20 12 16 11 53 II 29 11 05 10 42 10 18 9 54 8 58 3 ? 9 °7 8 43 8 20 20 30 11 06 10 45 10 23 10 02 9 4° 9 19 8 36 8 14 7 53 7 31 30 40 9 56 9 37 9 17 8 57 838 8 19 8 00 7 41 7 21 7 °3 6 44 40 50 8 44 8 27 8 09 7 52 7 35 7 18 7 01 ° 45 6 28 6 11 5 55 50 11 00 7 31 7 16 7 01 6 47 6 32 6 18 6 03 5 49 5 33 5 19 t5 °5 11 00 10 6 17 6 05 5 52 5 4° 5 28 5 15 5 °4 4 51 4 39 4 27 4 15 lO 20 5 °2 4 53 ■ ■ 4 42 4 33 4 22 4 13 4 °3 3 54 3 44 3 34 3 24 20 30 3 47 3 40 ■ 3 33 3 25 3 17 3 1° 3 °3 25° 2 48 2 40 2 34 30 40 2 32 2 27 2 22 2 17 2 11 2 07 2 02 1 57 1 52 1 48 1 42 40 50 1 16 1 13 I 11 1 09 1 06 I 04 1 02 58 56 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 — -. 4. In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West.. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 93 AZIMUTH OR TRUE BEARING. LATITUDE 22°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 22°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35°. Hour Angle. b. >ii. O 1 / / / / f / / / / 1 r h. m. 00 O OO 00 00 00 00 00 00 00 00 00 0.00 00 00 10 4838 36 54 29 13 23 58 20 10 17 21 15 09 13 25 12 01 10 50 9 52 9 OI •10 20 65 32 54 50 47 48 41 18 36 02 31 46 28 16 25 22 22 55 20 50 19 04 17 31 20 30 72 24. 6458 58 14 52 16 47 02 42 29 50 08 39 32 35 06 32 06 29 30 27 12 25 10 30 40 75 48 69 56 64 23 59 12 54 28 46 14 42 42 39 32 36 41 34 °6 31 47 40 50 77 44 72 54 68 13 63 46 59 33 55 36 51 56 48 32 45 23 42 28 39.48 37 21 50 1 00 78 5r 74 46 70 45 6651 63 08 59 33 56 10 52 58 49 57 47 07 44 29 42 00 1 00 10 79 32 75 59 72 29 69 03 65 42 62 29 59 23 56 24 53 33 50 51 48 17 45 50 10 20 79 55 76 47 73 40 70 36 67 36 64 40 61 49 59 °3 56 23 53 49 51 22 49 01 20 30 80 06 77 18 74 30 71 44 69 00 66 19 63 4i 61 08 5838 56 13 ,53 53 51 37 30 40 80 10 77 37 75 04 72 33 70 02 67 34 65 °9 62 46 60 26 58 09 55 55 53 46 40 50 80 06 77 47 75 27 73 07 7048 68 32 66 16 64 02 6l 51 59 41 57 36 55 32 50 2 00 79 58 77 49 75 40 73 3° 71 22 69 14 67 08 65 03 62 59 60 57 58 57. 57 00 2 00 IO 79 47 77 46 75 46 73 46 71 46 69 46 67 47 65 50 63 53 61 57 60 04 58 11 10 20 79 32 77 40 75 46 73 54 72 01 70 08 68 17 66 26 64 35 62 46 6057 59 °9 20 30 79 15 78 55 77 29 75 43 73 57 72 11 70 24 68 39 66 53 65 08 63 23 61 40 59 57 30 40 77 15 75 35 73 55 72 14 70 33 68 53 67 13 65 33 63 53 62 14 60 36 40 50 78 33 76 59 75 23 73 4§ 72 12 70 37 69 01 67 26 65 50 64 14 62 40 61 05 50 3 00 78 11 7640 75 10 73 39 72 07 70 36 69 04 67 33 66 02 64 30 62 59 61 28 3 OO 10 77 46 76 20 74 53 73 26 7i 58 70 31 69 03 67 36 66 08 64 40 63 13 61 45 IO 20 77 20 75 58 74 34 73 11 7i 46 70 23 68 58 67 34 66 09 64 45 63 20 61 56 20 30 76 53 75 33 74 13 72 53 71 32 70 10 68 49 67 28 66 07 64 45 63 24 62 02 30 40 76 25 75 08 73 50 72 32 71 15 69 57 68 38 67 20 66 01 64 41 63 23 62 04 40 50 75 55 74 40 73 26 72 10 7° 56 .69 39 68 24 67 07 6551 64 34 63 18 62 01 50 4 00 75 24 74 12 73 00 71 47 70 33 69 20 68 58 68 07 66 53 65 39 64 24 63 10 61 55 4 OO IO 74 52 73 42 72 32 71 21 70 10 67 47 6635 65 23 64' 11 62 59 61 46 IO 20 74 19 73 11 72 02 70 53 69 44 68 34 67 25 66 15 65 05 63 54 62 44 61 33 20 30 73 44 72 38 71 31 70 24 69 17 68 09 67 01 §3 64 44 6336 62 27 61 17 30 40 73 09 72 04 70 59 69 53 6847 67 41 66 35 64 21 63 13 62 07 60 59 40 50 72 32 71 28 70 24 69 20 68 16 67 11 66 06 65 01 63 55 62 50 61 45 60 38 50 5 00 7i 53 70 51 69 48 68 46 67 43 66 39 6536 64 32 63 27 62 23 61 19 60 14 5 OO 10 71 14 70 13 69 11 68 10 67 07 66 05 65 03 64 01 62 58 61 55 60 52 59 48 IO 20 70 33 69 33 6833 67 32 66 31 65 29 64 29 63 27 62 25 61 24 60 22 59 19 20 30 69 51 68 51 67 51 66 52 65 52 64 52 63 52 62 52 61 51 60 51 59 50 58 49 30 40 69 07 68 08 67 10 66 10 65 12 64 13 63 14 62 14 61 14 60 36 60 14 59 14 58 15 40 50 68 21 67 24 66 26 65 28 64 30 63 31 62 33 61 35 59 37 5838 57 ;9 50 6 OO 67 34 66 37 65 40 64 43 63 46 62 48 61 51 60 52 59 55 58 57 57 59 57 00 6 00 IO 66 45 65 49 64 52 63 56 62 59 62 03 61 05 60 09 59 11 58 15 57 17 56 19 IO 20 65 54 64 59 64 03 63 07 62 11 61 15 60 19 59 22 58 27 57 30 56 33 55 36 20 30 65 02 64 07 63 11 62 16 61 21 60 25 59 29 58 34 57 39 56 42 55 46 54 51 30 40 64 06 63 13 62 17 61 23 60 28 59 33 5838 57 44 5648 55 53 54 57 54 °3 40 50 63 10 62 16 61 22 60 27 59 33 58 39 57 44 56 5° 55 56 55 °i 54 0° 53 12 50 7 OO 62 11 61 17 60 23 59 3° 5836 57 42 56 48 55 54 55 0° 54 °7 53 13 52 18 7 00 IO 61 08 60 16 59 22 58 28 57 35 56 42 55 49 54 55 54 02 53 °9 52 15 51 22 IO 20 60 04 59 12 58 18 57 25 56 32 55 39 54 46 53 54 53 01 52 08 51 17 5° 24 20 30 58 57 5805 57 11 56 19 55 26 54 35 53 42 52 50 51 58 51 06 50 15 49 23 30 40 57 46 56 55 56 02 55 10 54 18 53 26 52 34 51 43 50 51 50 01 49 °9 48 17 40 50 56 33 55 42 54 49 53 58 53 07 52 15 51 24 50 33 49 42 48 52 48 00 47 10 50 8 00 55 16 54 25 53 33 52 42 51 52 51 00 50 09 49 19 48 29 47 39 46 49 45 58 8 00 10 53 56 53 05 52 14 51 24 50 32 49 42 4852 48 03 47 13 46 23 45 35 44 45 10 20 52 32 5i 42 50 51 50 00 49 11 48 21 47 31 46 42 45 53 45 05 44 16 43 28 20 30 51 04 50 14 49 23 48 34 47 44 46 55 46 06 45 is 44 30 43 42 42 55 42 08 30 40 49 32 48 42 47 52 47 03 46 14 45 26 44 38 43 51 43 °3 42 16 41 29 40 43 40 50 47 54 47 °6 46 16 45 28 44 40 43 52 43 °5 42 18 41 32 40 46 40 00 39 15 50 9 00 46 13 45 24 44 36 43 48 43 01 42 14 41 28 40 42 39 57 39 12 3828 37 43 9 00 IO 44 26 43 38 42 51 42 04 41 18 40 32 39 46 39 °2 38 17 37 34 36 51 36 08 IO 20 42 34 41 47 41 00 40 15 39 3" 38 45 38 01 37 17 36 35 35 52 35 10 34 28 20 30 40 37 39 51 39 05 38 21 37 37 36 53 36 II 35 29 34 47 34 06 33 25 32 45 30 40 38 33 37 49 37 05 36 21 35 38 34 57 34 15 33 35 32 55 32 15 31 36 3° 55 40 50 35 24 35 41 34 58 34 17 33 36 32 55 32 15 31 37 3° 58 30 21 29 43 29 06 50 io 00 34 09 33 28 32 47 32 07 31 28 3° 49 30 12 29 34 2§57 28 21 2746 27 11 10 00 10 31 47 31 08 30 29 29 51 29 13 28 37 28 02 27 26 26 52 26 18 25 44 25 12 10 20 29 20 28 42 28 05 27 31 26 55 26 20 25 47 25 14 24 42 24 11 23 38 23 °9 20 30 26 46 26 11 25 37 25 03 24 31 24 00 23 28 22 58 22 28 21 59 21 30 21 02 30 40 24 05 23 34 23 02 22 31 22 02 21 33 21 05 20 37 20 10 19 44 19 17 1852 40 50 21 20 20 51 20 23 19 5° 19 28 19 02 18 37 18 13 1748 17 24 17 01 16 38 50 11 00 18 28 18 03 17 38 17 15 16 51 16 27 16 06 15 44 15 23 15 °2 14 41 14 22 11 00 IO 15 32 15 10 14 50 14 29 14 09 13 5° 13 31 13 12 12 54 12 36 12 19 12 03 10 20 12 31 12 13 12 56 II 40 11 24 11 08 10 53 10 38 10 23 10 08 9 54 9 40 20 30 9 27 9 14 9 00 847 835 . 8 23 8 12 8 00 7 49 7 39 7 27 7 17 30 40 6 20 6 11 6 01 5 53 5 44 5 37 5 28 5 21 5 13 5 °7 4 59 4 53 40 50 3 " 3 06 3 01 2 57 2 53 2 49 2 45 2 41 2 37 2 34 2 3° 2 26 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 94 AZIMUTH OR TRUE BEARING. LATITUDE 22°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 22°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. m. o / / / / / a 1 t / 1 / / r b. m. 00 OO 00 00 00 00 00 0. 00 00 00 00 00 00 00 IO 8 17 7 40 7 06 6 36 6 10 5 46 5 25 5 05 4 47 i 3 l 4 15 4 01 10 20 16 ii 14 59 13 56 13 00 12 09 11 23 10 41 10 03 9 29 8 5° 8 27 7 59 20 30 23 21 21 44 20 17 18 59 1748 16 43 ?5 44 14 49 13 59 13 13 12 30 11 5° . 30 40 29 41 27 47 26 02 24 27 23 00 21 41 20 26 19 19 23 28 18 15 17 17 16 22 15 32 40 50 35 06 33 « 31 06 29 20 27 42 26 11 24 46 22 13 21 05 20 01 19 00 50 1 00 39 41 37 33 35 31 33 38 31 52 30 14 28 41 27 14 25 52 24 36 23 24 22 15 1 OO IO 43 33 41 23 39 19 37 23 35 34 33 5" 32 12 30 40 29 12 27 49 26 30 25 17 28 03 10 20 46 46 44 37 42 34 40 37 3846 37 00 35 19. 33 43 32 12 3° 44 29 22 20 30 49 26 47 21 45 20 43 24 41 33 39 46 38 03 36 26 34 52 33 22 31 56 3° 34 30 40 51 40 49 39 47 41 45 46 43 57 42 11 40 28 3850 37 16 35 43 34 16 32 5i 40 50 53 31 51 34 49 39 47 49 46 01 44 16 42 34 40 56 39 21 37 49 36 20 34 54 50 2 00 55 05 53 11 51 21 49 32 47 48 46 05 44 25 42 47 41 13 39 4° 38 11 3°45 2 OO . 10 56 21 54 32 52 46 51 01 49 18 47 38 46 00 44 24 42 51 41 19 39 49 38 23 10 20 57 24 55 39 53 56 52 16 50 36 4858 .47 22 45 49 44 16 42 45 41 17 39 51 20 30 58 16 563° 54 56 53 18 51 42 50 07 48 33 47 °I 45 30 44 01 42,34 41 09 20 40 5858 57 22 55 46 54 11 5238 51 °5 49 33 48 03 46 35 45 °7 43 41 42 17 40 50 59 32 57 59 56 27 54 55 53 24 51 54 50 25 48 56 47 29 46 04 44 39 43 15 50 ■a OO 59 58 58 29 56 59 55 30 54 02 52 34 51 °7 4942 48 16 46 52 45 29 44 06 3 00 10 60 18 58 51 57 24 55 58 54 34 53 09 51 44 50 20 48 57 47 34 46 12 44 51 IO 20 60 32 59 08 57 44 57 58 56 20 54 58 53 35 52 13 50 5° 49 2? 48 08 46 48 45 29 20 30 60 40 59 19 56 37 55 17 53 55 52 35 51 15 49 56 48 37 47 18 46 00 30 40 60 45 59 26 5807 5648 55 30 54 11 52 53 51 35 50 17 48 59 47 42 46 26 40 50 60 45 59 29 58 11 56 54 55 38 54 22 53 05 .51 49 5° 33 49 17 48 01 46 46 50 4 00 60 41 59 26 58 12 56 57 55 43 54 28 53 13 5i 58 50 43 49 29 48 15 47 °i 4 00 10 60 33 59 21 58 08 5f55 55 42 54 3° 53 16 52 03 5° 5° 49 38 48 25 47 12 IO 20 60 23 59 12 58 00 56 50 55 38 54 27 53 16 52 04 50 53 49 42 48 30 47 i'9 20 30 60 09 59 00 57 4? 5640 55 31 54 21 53 12 52 02 5° 51 49 42 48 32 47 22 30 40 59 52 58 45 57 36 56 28 55 21 54 12 53 03 51 55 5046 49 38 48 29 47 20 40 50 59 32 58 26 57 19 5° 13 55 0° 53 59 52 52 51 45 5038 49 30 48 23 47 16 50 5 00 59 09 58 04 56 59 55 54 54 49 53 44 52 37 51 31 50 25 49 20 48 13 47 °6 5 00 IO 50 45 57 4i 56 37 55 33 54 28 53 24 52 20 51 15 50 10 49 05 48 00 46 55 10 20 58 17 57 15 56 11 55 °9 54 °6 53 °3 51 59 5° 56 49 52 4 I 4 1 47 44 46 40 20 30 57 47 56 46 55 44 54 42 53 4i 5238 51 35 50 33 49 30 48 28 47 25 46 22 30 40 57 14 56 14 55 13 54 13 53 12 52 10 51 °9 50 08 49 06 48 05 47 °3 46 01 40 50 56 40 55 41 54 40 53 40 52 41 51 4i 50 40 49 40 48 40 47 38 46 38 45 37 50 6 00 56 02 55 °3 54 05 53 06 52 08 51 08 50 09 49 09 48 10 47 10 46 10 45 1° 6 00 10 55 22 54 24 53 26 52 28 51 31 5° 32 49 35 48 57 48 36 47 37 46 39 45 39 44 40 IO 20 54 40 53 43 52 4° 51 49 5° 52 49 54 48 00 47 01 46 03 45 26 45 05 44 08 20 ' 30 53 55 53 08 52 59 52 03 51 °7 5° i° 49 14 48 17 47 21 46 24 44 3° 43 33 30 40 52 13 51 17 50 22 49 26 48 31 47 35 46 39 45 43 44 47 43 5i 42 55 40 50 52 18 51 23 50 29 49 34 48 39 47 44 46 50 45 55 45 00 44 04 43 °9 42 14 50 7 00 51 25 50 31 49 37 48 44 47 50 46 56 46 02 45 °8 44 14 43 19 42 25 41 3i 7 OO 10 50 3° 49 37 4» 39 48 44 47 5i 4658 46 04 45 12 44 18 43 25 42 31 41 38 40 45 10 20 49 32 47 47 46 55 46 02 45 1° 44 18 43 26 42 33 41 41 40 48 39 56 20 30 48 31 47 40 46 47 45 56 45 °5 44 14 43 23 42 31 4i 39 40 47 39 56 39 °5 30 40 47 27 46 37 45 45 44 55 44 04 43 13 42 23 41 33 40 42 39 5i 3901 38 II 40 50 46 20 45 30 44 41 43 50 43 01 42 II 41 22 40 32 39 42 38 53 38 03 37 14 50 8 OO 45 1° 44 21 43 32 42 43 4i 54 41 05 40 16 39 28 38 39 37 50 37 °3 36 15 8 OO IO 43 57 43 °9 42 21 41 33 40 44 39 56 3908 38 21 37 34 3°47 35 59 35 12 10 20 42 41 41 53 41 06 40 19 39 31 38 45 37 58 37 12 36 26 35 39 34 53 34 07 20 30 41 21 40 34 39 48 39 °3 38 15 37 30 3645 35 59 35 14 34 29 33 44 32 59 30 40 39 57 38 12 38 27 37 42 3656 36 12 35 28 34 44 34 00 33 15 32 32 31 49 40 50 38 3° 37 46 37 01 36 19 35 35 34 51 34 °8 33 25 32 42 32 00 31 17 30 36 50 9 OO 37 00 3° 17 35 33 34 5i 34 °9 33 26 32 44 32 03 31 21 30 41 29 59 29 20 9 00 10 35 26 34 44 34 01 33 21 32 39 31 59 31 19 30 38 29 58 29 18 28 39 28 00 10 20 33 48 33 07 32 26 31 47 31 07 30 28 29 49 29 10 28 32 27 54 27 16 26 38 20 30 32 06 31 26 30 48 30 09 29 31 28 53 28 16 27 39 27 02 26 27 25 50 25 14 30 40 30 20 29 43 29 05 28 29 27 52 27 15 26 40 26 05 25 30 24 55 24 21 23 47 40 50 28 30 27 55 27 19 26 45 26 09 25 35 25 02 24 29 23 55 23 23 22 50 22 18 50 io 00 26 37 26 03 25 29 24 56 24 24 23 52 23 21 22 49 22 18 21 47 21 16 20 46 10 00 10 24 40 24 08 23 3° 23 °5 22 35 22 04 21 35 21 05 20 37 20 08 19 39 19 11 10 20 22 39 22 10 21 40 21 12 20 43 20 16 19 48 19 20 1854 18 27 18 01 17 35 20 30 20 35 20 07 19 4° 19 14 18 48 18 23 17 57 17 33 17 08 1644 14 58 16 20 15 57 30 40 IS 27 18 02 17 3° 17 14 16 50 16 27 16 05 15 42 15 20 14 3° 14 15 40 50 16 16 15 54 15 32 15 11 14 5° 14 3° 14 10 13 50 13 30 13 11 12 51 12 33 50 11 00 14 02 13 43 13 24 13 06 12 47 12 '29 12 12 » 55 11 38 11 21 11 05 10 48 11 00 10 II 46 11 3° 11 14 10 59 10 43 10 28 10 13 9 59 9 44 9 3° 9 17 . 9 02 10 20 9 2 7 9 15 9 02 849 8 37 8 25 8 12 8 01 7 5° 7 39 7 27 7 16 20 30 7 08 6 57 648 6 38 6 29 6 19 6 11 6 01 5 53 5 44 5 36 5 28 3D 40 , 4 45 4 38 4 33 4 26 4 20 4 14 4 07 4 02 3 52 3 50 3 44 3 39 40 50 2 23 2 20 2 16 2 13 2 10 2 06 2 04 2 01 1 58 1 55 1 52 1 49 50 12 00 00 00 O OO 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and •when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 95 AZIMUTH OR TRUE BEARING. LATITUDE 22°. DECWNATION- -SAME NAME AS— LATITUDE. LATITUDE 22°. Hour \nglo. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. ta. in. o / * / / / / / / i / / 0' / h. m. 00 00 00 00 00 00 00 00 00 00' 00 00 00 00 10 3 49 3 36 3 25 3 14 3 °4 548 2 46 2 37 2 30 2 22 2 15 2 09 IO 20 7 34 7 °9 647 6 27 6 06 5 3i 5 x 5. 4 58 4 44 4 3° 4 15 20 30 II 12 10 37 10 06 9 35 9 06 8 39 8 13 7 48 7 25 948 7 °3 6 42 6 21 30 40 14 43 13 58 13 17 12 37 11 59 11 24 10 51 10 18 9 19 8 51 8 24 40 50 18 04 17 09 16 19 15 31 14 46 14 °4 13 22 12 44 12 07 11 31 1° 57 10 25 50 1 OO 21 11 20 10 19 12 18 17 17 25 16 36 1548 18 07 15 °3 14 20 13 39 12 59 12 21 1 1 00 10 24 05 22 59 21 54 2° 54 19 55 19 00 17 17 16 28 15 41 14 57 14 14 10 20 26 46 25 34 24 26 23 2° 22 17 21 17 20 18 19 23 18 30 17 39 16 49 16 01 20 30 29 [4 27 58 26 46 25 36 24 28 23 24 22 22 21 22 20 24 19 30 18 3° 17 44 30 40 31 29 30 10 2854 27 42 26 31 25 23 24 17 23 14 22 13 21 13 20 17 19 21 40 50 33 3° 32 09 3° 52 29 36 28 23 27 13 20 04 24 57 23 53 22 51 21 51 20 52 50 2 00 35 20 33 58 32 39 31 22 30 06 28 54 27 43 26 35 25 28 24 23 23 20 22 18 2 OO 10 3 S 5 ? 35 35 34 15 32 57 31 4° 30 26 29 14 28 03 2654 25 48 24 42 23 39 IO 20 38 26 37 °3 35 42 34 23 33 °° 31 5° 3° 37 29 25 28 15 27 06 25 59 24 53 20 30 39 44 38 21 37 °i .35 41- 34 23 33 °7 31 52 3° 39 29 28 28 19 27 10 26 02 30 40 4° 52 39 3° 38 10 ' 36 51 35 32 34 16 33 °I 31 47 30 35 29 24 28 15 27 06 40 oO 41 52 4° 31 39 " 37 52 36 34 35 18' 34 °3 32 49 31 36 30 24 29 13 28 04 50 3 00 42 45 41 24 40 05 3846 37 29 36 13 34 58 33 44 32 3° 31 18 30 08 2857 3 00 io 43 31 42 11 4° 52 39 35 38 18 37 °2 35 47 34 32 33 19 32 07 3° 55 29 45 IO 20 44 1° 42 51 4i 34 40 17 39 °° 37 45 36 30 35 16 34 °2 32 5° 31 38 30 27 20 30 44 42 43 24 42 08 4° 52 39 36 38 22 37 °7 35 54 34 41 33 29 32 17 31 °° 30 40 45 09 43 53 42 38 41 23 40 08 38 54 37 4° 36 27 35 14 34 °2 32 51 31 4° 40 50 45 31 44 16 43 °2 141 47 4° 33 39 20 38 07 36 55 35 43 34 31 33 20 32 09 50 4 00 45 48 44 33 43 20 42 07 4° 54 39 42 38 3° 37 18 36 07 34 55 33 44 32 34 4 00 IO 45 59 44 47 43 35 42 23 41 11 40 00 38 49 37 37 36 26 35 16 34 °5 32 55 10 20 46 07 44 56 43 45 42 34 41 23 4° 13 39 ° 2 37 52 36 41 35 32 34 22 33 12 20 30 46 12 45 °l 43 51 42 41 41 31 40 22 39 12 38°3 36 53 35 44 34 35 33 26 30 40 46 11 45 °2 43 53 42 44 41 36 40 27 39 18 38 09 37 °i 35 52 34 43 33 35 40 50 46 07 44 59 43 52 42 44 4i 36 40 29 39 21 38 13 37 °S 35 57 34 49 33 42 50 5 OO 46 00 44 54 43 47 42 4° 41 33 40 26 39 20 38 12 37 °5 35 59 34 51 33 45 5 OO 10 45 5° 44 43 43 38 42 32 41 27 40 21 39 15 38 09 37 °2 35 56 34 5° 33 45 10 20 45 3° 44 31 43 26 42 22 41 17 40 12 39 97 38 02 36 57 35 5i 34 45 33 4° 20 30 45 19 44 15 43 11 42 08 41 °4 40 00 3856 37 52 3648 35 44 34 39 33 34 30 40 44 58 43 56 42 54 41 51 40 47 39 45 38 42 37 39 36 35 35 32 34 29 33 25 40 50 44 36 43 34 42 33 41 31 40 29 39 27 38 25 ,37 22 36 20 35 18 34 15 33 13 50 6 00 44.10 43 °9 42 °9 41 08 40 07 39 ° 6 38°5 37 °3 36 02 35 °i 33 59 32 57 6 00 IO 43.4° 42 41 41 42 4° 42 39 42 3843 37 42 36 42 35 4i 34 41 33 39 32 38 IO 20 43 °9 42 11 41 13 4° 13 39 14 38 16 37 17 36 17 35 18 34 18 33 18 32 18 20 30 42 36 4i 38 40 40 39 42 38 44 37 47 3649 35 5° 34 52 33 53 32 54 31 55 30 40 41 59 41 01 40 05 39 08 38 II 37 15 36 18 35 20 34 22 33 25 32 27 31 29 40 50 41 18 4° 23 39 27 38 32 37 35 36 40 35 44 34 48 33 51 32 54 31 58 31 °i 50 7 OO 40 36 3 °. 4 I 38 48 37 53 36 57 36 °3 35 °8 34 12 33 17 32 21 31 25 3° 3° 7 OO 10 39 5i 3858 38 04 37 10 - 3° 1° 35 23 34 29 33 34 32 4° 31 45 3° 51 29 56 IO 20 39 °4 38 11 37 19 36 26 35 33 34 41 33 47 32 55 32 01 31 07 3° 15 29 21 20 30 i 38 13 37 21 36 30 35 39 34 47 33 56 33 °4 32 11 31 19 30 27 29 35 28 43 30 40 37 21 36 30 35 4° 34 49 33 58 33 °8 32 17 31 27 3° 35 29 44 28 53 28 03 40 50 36 24 35 35 34 46 33 57 33 °7 32 18 31 28 3° 39 29 49 29 00 28 10 27 20 50 8 OO 35 26 34 37 33 49 33 °i 32 13 31 25 3° 37 29 49 29 00 28 12 27 23 26 35 8 OO 10 34 25 33 38 32 51 32 °4 31 17 3° 31 2943 28 56 28 09 27 22 26 35 25 48 10 20 33 21 32 35 31 5° 31 °3 30 18 29 33 28 48 28 01 27 16 26 30 25 44 25 00 20 30 32 14 31 30 30 46 30 01 29 16 28 33 27 49 27 04 26 20 25 36 24 52 24 08 30 40 31 °5 30 22 29 39 28 56 28 13 27 30 26 48 26 05 25 22 24 4° 23 57 23 14 40 50 29 54 29 11 28 30 2748 27 07 26 26 25 45 25 °4 24 22 23 41 23 00 22 20 50 9 00 28 39 27 58 2-> 18 26 38 25 58 25 18 24 38 23 59 23 20 22 41 22 01 21 22 9 00 10 27 21 26 42 26 04 25 26 24 47 24 09 23 31 22 53 22 16 21 3G 21 00 20 23 IO 20 26 01 25 24 24 47 24 10 23 33 22 58 22 22 21 45 21 O9 20 34 19 57 19 22 20 30 24 38 24 03 23 28 22 52 22 18 21 44 21 10 2° 35 20 00 19 26 18 52 18 18 30 40 23 13 22 40 22 07 21 34 21 00 20 27 19 55 19 22 18 50 18 18 17 45 17 13 40 SO 21 45 21 14 2° 43 20 12 19 40 19 10 18 39 18. 09 17 37 17 07 16 38 16 08 50 10 OO 20 15 19 46 19 17 18 48 18 18 J l 5 S 17 21 16 53 16 24 15 55 15 27 14 59 IO OO IO 1843 18 16 17 49 17 22 16 54 16 28 16 00 15 35 15 °8 14 43 13 fl 14 16 13 5° 10 20 17 09 16 44 16 18 15 53 15 28 15 °4 14 4° 14 15 13 51 13 °3 12 40 20 30 15 32 15 °9 14 47 14 23 14 01 13 39 13 i fi 12 54 12 32 12 10 II 49 11 27 30 40 13 54 13 33 13 13 12 52 12 32 12 12 11 51 11 32 11 12 10 53 1° 33 10 13 40 50 12 14 11 55 II 37 11 19 11 02 10 44 10 26 10 08 9 51 9 34 9 17 8 59 50 11 00 10 32 10 16 10 01 9 45 9 29 9 14 8 59 844 8 29 8 14 7 59 7 44 11 00 10 8 49 8 35 8 22 8 09 7 56 7 43 7 31 7 18 7 °5 ' C 53 6 40 6 28 10 20 7 °4 654 6 43 6 32 6 23 6 12 6 02 5 52 5 41 5 31 5 22 5 12 20 30 5 19 5 " 5 °2 4 55 4 47 4 39 4 32 4 24 4 16 4 °9 4 01 3 54 2 36 30 40 3 34 3 28 3 22 3 17 3 11 3 °7 3 °i 2 57 2 52 2 46 2 41 40 50 1 47 1 44 1 42 1 39 1 3* 1 34 1 31 1 29 1 26 1 23 1 21 1 19 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 96 AZIMUTH OR TRUE BEARING. latitude: 22°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 22°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. Ii. m. o / / / / / / r / / r / Ii. 111. O OO OO 00 0. 00 00 00 00 00 00 00 00 00 00 io 2 02 1 55 1 50 1 44 138 1 33 1 28 1 23 1 18 1 14 1 09 10 20 4 03 3 51 3 38 3 27 3 16 3 °5 2 56 2 45 2 36 2 26 2 18 20 30 6 02 5 44 5 26 5 09 4 53 4 36 4 21 4 °7 3 53 3 39 3 26 30 40 S oo 7 36 7 12 6 49 6 28 6 07 5 47 5 28 5 °9 4 51 4 33 40 50 9 54 9 24 8 55 8 28 8 02 7 3° 7 12 6 47 6 24 6 02 5 4° 50 1 00 " 45 11 10 10 37 10 04 9 32 9 02 8 33 8 05 7 37 7 11 6 45 1 00 10 13 32 12 52 12 14 11 37 II 01 10 27 9 53 9 20 8 49 ■ 8 18 7 49 10 20 15 16 14 31 13 49 13 07 12 27 11 48 11 10 10 35 9 59 9 25 852 20 30 16 55 16 os 15 18 14 33 13 50 13 08 12 26 11 46 11 07 10 28 9 52 30 40 18 27 17 35 16 45 15 5° 15 °9 14 23 13 38 12 54 12 12 11 3 1 10 151 40 50 19 56 19 00 18 07 17 14 16 24 15 34 14 47 14 00 13 H 12 30 11 47 50 2 OO 21 19 20 21 19 25 18 30 17 35 16 43 15 53 15 °2 14 14 13 27 12 41 2 OO 10 22 37 21 36 20 38 19 40 18 44 17 49 16 55 16 03 15 12 14 22 13 32 IO 20 23 50 22 47 21 46 20 45 19 47 18 so 17 55 16 59 16 05 15 13 14 21 20 30 24 57 23 53 22 50 21 48 20 47 19 48 18 50 17 52 .16 57 16 03 15 08 30 40 26 00 24 53 23 48 22 45 21 43 20 42 19 42 18 43 17 45 16 49 15 52 40 50 26 56 25 49 24 43 23 3» 22 35 21 32 20 30 19 30 18 30 17 31 16 34 50 3 OO 27 48 26 40 25 33 24 27 23 22 22 19 21 16 20 13 19 12 i« 13 17 13 3 OO 10 28 35 27 27 26 19 25 12 24 07 23 01 21 57 20 53 19 51 18 50 17 49 10 20 29 18 28 09 27 01 25 53 24 4° 23 4° 22,35 21 31 20 27 19 25 18 22 20 30 29 57 28 47 27 38 26 30 25 22 24 16 23 10 22 04 21 00 19 5° 1853 30 40 30 30 29 20 28 11 27 02 25 55 24 47 23 4i 22 35 21 3° 20 25 19 21 40 50 31 00 29 49 28 41 27 32 26 24 25 17 24 09 23 02 21 57 20 52 19 46 50 4 OO 31 24 30 15 29 °5 27 57 26 49 25 41 24 34 23 27 22 20 21 14 20 09 4 00 10 31 46 3° 36 29 27 28 19 27 11 26 02 24 55 23 48 22 41 21 35 20 29 10 20 32 03 3" 53 29 45 28 37 27 29 26 21 25 13 24 06 22 59 21 53 20 46 20 30 32 17 31 08 29 59 28 51 27 44 26 36 25 28 24 21 23 15 22 09 21 02 30 40 32 28 31 19 30 11 29 °3 27 56 26 48 25 4i 24 33 23 26 22 20 21 14 40 50 32 34 31 26 30 19 29 12 28 05 2658- 25 50 24 43 23 37 22 31 21 23 50 5 00 32 38 31 3° 30 24 29 17 28 10 27 03 25 56 24 49 23 43 22 37 21 30 5 00 10 32 38 31 32 30 25 29 19 28 13 27 °7 26 01 24 54 23 48 22 42 21 35 IO 20 32 3° 3t 30 30 24 29 18 28 13 27 07 26 02 24 55 23 5° 22 44 21 38 20 30 32 30 31 25 30 20 29 15 28 09 27 04 26 00 24 55 23 49 22 44 21 38 30 40 32 21 31 16 30 12 29 08 28 04 27-00 25 56 24 50 23 46 22 41 21 37 40 50 32 10 31 06 30 02 28 59 27 55 26 52 25 48 24 45 23 41 22 37 21 33 50 6 00 31 55 30 53 29 50 28 48 27 45 26 42 25 40 24 36 23 33 22 30 21 26 6 00 10 31 38 30 36 29 34 28 33 27 31 26 29 25 27 24 25 23 22 22 20 21 17 10 20 31 18 30 17 29 17 28 17 27 16 26 14 25 13 24 12 23 11 22 09 21 06 20 30 30 56 29 56 28 57 27 57 2658 25 57 24 57 23 56 22 56 21 55 20 52 30 40 30 31 29 32 28 34 27 35 26 36 25 38 2438 23 39 22 38 21 39 20 39 40 50 30 04 29 06 28 09 27 11 26 14 25 16 24 17 23 19 22 20 21 22 20 22 50 7 00 29 34 28 37 27 41 26 45 25 49 24 52 23 54 22 56 21 59 21 02 20 03 7 00 10 29 02 28 06 27 11 26 16 25 20 24 25 23 29 22 33 21 37 20 41 19.43 IO 20 28 28 27 33 26 39 25 45 24 51 23 56 23 02 22 07 21 12 20 17 19 21 20 30 27 50 26 58 26 05 25 12 24 19 23 26 22 33 21 39 20 45 19 51 18 57 30 40 27 12 26 20 25 28 24 37 23 46 22 53 22 02 21 09 20 16 19 24 18 31 40 50 26 31 25 40 24 50 24 00 23 09 22 19 21 28 20 37 19 46 18 55 18 03 50 8 OO 25 47 24 57 24 09 23 20 22 31 21 42 20 53 20 03 19 13 18 24 17 34 8 OO 10 25 01 24 14 23 27 22 40 21 52 21 04 20 16 19 28 18 40 17 52 17 °4 IO 20 24 14 23 27 22 42 21 56 21 10 20 24 19 38 18 51 18 04 17 18 16 31 20 30 23 24 22 39 21 55 21 11 20 27 19 41 18 57 18 12 17 27 16 43 15 57 30 40 22 32 21 49 21 06 20 24 19 41 18 59 18 15 17 32 16 48 16 05 15 22 40 50 21 3S 20 57 20 16 19 35 1854 18 13 17 32 16 50 16 08 15 27 14 45 50 9 00 20 42 20 03 19 23 18 44 18 05 17 26 16 46 16 06 15 27 14 47 14 06 9 OO 10 19 45 19 07 18 29 17 52 17 15 16 37 15 59 15 21 14 43 14 06 13 28 10 20 18 46 18 09 17 34 16 36 1658 16 22 15 47 15 11 14 35 13 59 . 13 23 12 46 20 30 17 44 17 10 16 02 15 29 14 55 14 22 13 47 13 13 12 39 12 05 30 40 16 42 16 09 15 38 15 06 14 34 14 02 13 30 12 58 12 26 11 54 11 22 40 50 15 37 15 07 14 38 14 07 13 37 13 07 12 37 12 08 II 38 11 08 10 38 50 10 00 14 31 ■ 14 03 13 35 13 08 12 40 12 12 11 44 11 16 10 49 10 21 9 52 10 00 10 13 25 12 58 12 32 12 06 11 41 11 IS 10 49 10 23 9 58 9 33 9 °7 10 20 12 15 " 51 II 28 11 04 "10 41 10 18 9 54 9 30 9 07 844 8 19 20 30 11 06 10 44 10 23 10 01 9 40 8 38 9 19 8 57 8 35 8 15 7 54 7 32 30 40 9 55 9 35 9 16 8 57 8 19 8 00 7 41 7 22 7 02 6 43 40 50 8 43 825 8 09 7 52 7 35 7 18 7 02 6 45 6 28 6 12 5 54 50 11 00 7 3° 7 15 7 00 6 46 .6 32 6 17 6 03 5 49 5 33 5 19 5 °5 11 OO 10 6 16 6 03 5 52 5 39 5 28 5 15 5 03 4 51 4 39 4 27 4 15 IO 20 5 01 4 52 4 4i 4 32 4 23 4 13 4 03 3 54 3 44 3 34 3 24 20 30 3 47 3 40 3 31 3 25 3 18 3 1° 3 03 2 55 2 49 2 41 2 33 30 40 2 31 2 26 2 22 2 17 2 11 2 07 2 02 1 57 1 52 1 48 1 4 2 40 50 1 16 I 14 1 10 1 08 1 06 1 03 1 01 59 56 53 51 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 97 AZIMUTH OR TRUE BEARING. LATlTIIDli 23°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 23°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / 7 t / / / / / / / li. 111. 00 00 06" 00 00 00 00 00 00 00 00 00 00 O 00 10 °5 57 48 17 36 40 29 01 23 4° 20 00 17 10 15 °i 13 17 II 53 1° 43 9 44 lO 20 30 40 50 20 76 42 65 21 55 35 47 32 41 01 35 46 31 3° 28 01 25 °7 22 41 20 37 18 51 30 So 14 72 13 64 45 64 08 51 59 46 44 42 10 38 13 34 48 31 49 29 12 26 54 40 81 48 75 39 69 43 5855 54 1° 49 S° 45 54 42 22 39 I' 36 20 33 4° 50 83 32 77 33 72 41 °7 59 63 29 59 15 55 17 51 36 48 11 45 °i 42 °7 39 2 7 1 00 82 52 78 4° 74 32 70 31 66 35 62 49 59 14 55 5° 5? 37 49 34 46 44 5° 28 44 06 1 00 10 20 30 40 SO 10 82 57 79 20 75 46 72 14 68 46 65 25 62 10 59 °2 5° 02 53 11 47 53 20 82 54 79 43 7° 33 73 25 70 19 67 18 64 21 61 28 5842 56 00 53 2° 5° 57 53 28 30 82 44 79 53 77 °3 74 15 74 48 71 27 68 42 °5 59 63 2i.; 60 46 58 15 55 49 40 82 30 79 55 77 21 72 15 69 44 67 14 64 47 62 23 60 02 57 44 55 3° 50 82 12 79 5i 77 3° 75 °9 72 49 70 29 68 10 65 54 63 4° 61 27 59 17 57 10 2 OO 81 52 79 42 77 32 75 21 73 12 71 03 6853 66 46 64 40 62 35 60 32 58 31 2 OO 10 20 30 40 50 10 81 30 79 29 77 28 75 26 73 25 71 25 69 25 67 25 6526 63 28 6r 32 59 37 20 81 06 79 13 77 20 75 26 73 33 71 39 69 46 67 53 66 02 64 10 62 19 60 30 30 80 41 78 55 77 °8 75 32 73 35 71 48 70 00 68 14 66 28 64 42 62 56 61 12 40 80 15 78 35 76 54 75 13 73 31 71 5° 70 09 68 28 66 47 65 °5 63 25 61 45 50 79 47 78 12 76 36 75 °i 73 24 71 48 70 11 68 35 66 58 65 22 63 46 62 11 3 00 79 18 77 48 76 17 74 45 73 14 71 42 70 10 68 38 67 06 65 33 64 01 62 29 3 00 lO 78 49 77 22 75 55 74 28 73 °° 71 32 70 03 68 36 67 °7 65 38 64 10 62 41 10 20 20 78 18 76 26 75 3 1 74 °8 72 43 71 19 69 55 68 29 67 05 65 39 64 14 62 49 30 77 46 75 °6 73 45 72 24 71 °3 69 41 68 20 6658 65 3° 64 14 62 52 30 40 77 13 75 57 74 39 73 21 72 03 70 44 69 26 68 07 66 48 65 29 64 09 62 50 40 50 50 76 40 75 25 74 11 72 55 71 40 70 25 69 08 67 52. 66 36 65 18 . 64 01 62 44 4 OO 76 05 74 53 73 41 72 28 71 15 70 01 68 48 67 34 66 19 65 °5 635° 62 35 4 OO 10 75 30 74 20 73 °9 7i 58 70 48 69 36 68 24 67 13 66 00 64 48 63 36 62 23 10 20 30 20 74 54 73 45 72 37 71 27 70 19 69 10 °7 59 6650 65 4° 64 28 63 18 62 07 30 74 16 73 i° 72 03 7° 55 69 48 68 40 67 32 66 24 65 16 64 07 62 58 61 49 40 73 37 72 32 7i 27 70 21 69 16 68 10 67 03 65 57 64 50 6342 62 36 61 28 40 50 72 57 71 54 70 50 69 46 68 42 67 38 66 32 65-27 64 22 63 16 62 10 61 05 50 5 00 72 16 71 14 70 12 60 09 68 06 67 03 65 59 64 55 °3 51 62 47 61 43 60 38 5 OO 10 7i 34 7° 33 69 32 683° 67 28 66 27 65 24 64 22 63 20 62 16 61 13 60 10 lO 20 7° 5i 69 51 6851 67 5° 66 49 65 49 6447 63 46 62 45 61 42 60 41 59 39 20 30 70 06 69 07 68 08 67 08 66 09 65 09 64 09 63 09 62 08 61 08 60 07 59 °5 30 40 69 21 68 21 67 23 66 25 65 26 64 27 63 29 . 62 29 61 29 60 29 59 3° 58 3° 40 50 6833 °7 35- 6638 65 40 64 42 63 44 °2 45 61 47 60 49 59 5° 58 51 57 52 50 6 OO 67 43 66 46 65 49 64 53 63 55 62 58 62 01 61 03 60 06 59 °8 58 10 57 12 6 OO 10 66 52 65 55 64 59 64 03 63 07 62 11 61 14 60 17 59 21 58 23 57 26 56 29 10 20 65 59 65 °4 64 08 63 13 62 17 61 21 60 25 59 29 58 33 s l 3 1 5641 55 44 20 30 65 04 64 09 63 14 62 19 61 24 60 30 59 35 58 39 57 44 5648 55 52 54 57 30 40 64 08 63 13 62 19 61 24 60 30 59 35 58 40 57 46 56 51 55 57 55 °2 54 °7 40 50 63 09 62 14 61 21 60 27 59 33 58 39 57 45 • 56 51 55 57 55 °3 54 °9 53 14 50 7 OO 62 08 61 14 60 20 59 27 58 34 57 4i 56 47 55 54 55 °° 54 °7 53 13 52 20 7 00 lO 61 04 60 11 59 18 58 25 57 31 5638 55 46 54 53 54 °° 53 °8 52 15 5i 23 50 22 lO 20 59 57 59 °5 58 12 57 19 56 27 55 35 54 43 53 51 5258 52 06 51 14 20 30 58 48 57 56 57 °4 56 12 55 20 54 28 53 36 52 45 51 53 51 01 50 11 49 19 30 40 57 36 56 44 55 53 55 °2 54 1° 53 18 52 27 51 36 5° 45 49 54 49 04 48 14 40 50 56 22 55 3° 54 39 53 48 52 56 52 06 51 16 5° 25 49 35 48 44 47 55 47 °4 50 8 OO 55 °3 54 iz 53 21 52 31 51 4° 5° 49 50 00 49 1° 48 21 47 3° 46 42 45 52 8 OO lO 53 41 52 51 52 01 51 1° 50 20 49 3° 48 41 47 52 47 °3 46 14 45 25 44 38 10 20 52 16 51 27 5° 36 49 46 48 57 48 08 47 19 46 30 45 43 44 54 44 °7 43 19 20 30 5° 47 49 57 48 23 49 °7 48 18 47 29 46 41 45 53 45 °5 44 18 43 31 42 44 41 157 30 40 49 !3 47 35 46 46 45 59 45 11 44 24 43 37 42 50 42 04 41 18 4° 33 40 50 47 35 46 46 45 58 45 1° 4423 43 36 42 5° 42 04 41 18 4° 33 39 48 39 °3 50 9 00 45 5i 45 °4 44 17 43 29 42 43 41 57 41 12 40 27 39 42 38 59 38 15 37 31 9 00 10 44 °4 43 1° 42 31 41 45 4° 59 40 14 39 3° 3846 3° 03 37 20 36 37 35 55 lO 20 42 11 41 25 40 40 39 55 39 11 38 27 37 44 37 °i 36 19 35 38 34 57 34 16 20 30 40 '14 39 29 38 44 38 00 37 18 36" 35 34 38 35 53 35 12 34 3.1 33 51 33 II 32 32 30 40 38 10 37 26 36 43 36 00 35 19 33 58 33 18 32 39 32 00 31 22 30 44 40 50 36 00 35 18 34 37 33 56 33 16 32 37 3l N 58 31 20 30 42 3° 05 29 29 28 52 50 10 00 33 45 33 °4 32 25 30 08 31 46 31 08 30 3° 29 54 29 17 28 42 28 06 27 32 2658 10 00 10 31 24 30 45 29 31 28 54 28 19 27 45 27 10 26 37 26 03 25 3° 24 5? lO 20 28 56 28 20 27 4° 27 11 26 37 26 04 25 3i 2458 24 28 23 57 23 26 22 56 20 30 26 25 25 51 25 17 2446 24 14 23 43 23 14 22 43 22 15 21 45 21 17 20 50 30 40 23 45 23 14 22 44 22 15 21 46 21 18 20 51 20 24 19 57 19 31 19 06 18 41 40 50 21 01 20 33 20 07 19 40 19 13 18 48 18 24 18 00 17 3° 17 13 16 50 16 28 50 11 00 18 12 17 47 17 24 17 00 16 37 16 16 15 54 15 33 15 12 14 51 14 32 14 13 11 OO lO 15 18 14 57 14 37 14 17 13 58 13 39 13 20 13 °3 12 45 12 28 12 11 11 55 lO 20 12 20 12 02 11 46 II 29 11 14 10 58 10 44 10 29 10 15 10 01 948 9 35 20 30 9 18 9 °5 852 8 40 8 28 8 17 8 04 7 54 7 43 7 33 7 22 7 12 30 40 6 13 6 05 5 57 548 5 4° 5 32 5 25 5 17 5 1° 5 °3 4 56 4 49 40 50 3 °7 3 °2 2 59 2 54 2 5° 2 47 2 43 2 39 2 35 2 32 2 28 2 25 50 12 00 00 00 00 00 00 i 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths aie reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of t e hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02 7 98 AZIMUTH OR TRUE BEARING. LATIflBi: 23°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 23°. Hour Angle. 36° 37° 38° 30° 40° 41° 42° 43° 44° 45° ;46° 47° Hour Angle. to. iii. o / / / / t / / ' / t / / to. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 8 54 8 II 7 3* 7 00 °3I 6 05 5 41 5 20 5 00 4 42 4-26 4 II 10 20 17 19 15 58 1448 13 45 12 49 11 59 11 13 10 31 9 54 9 20 8 47 8 18 20 30 24 52 23 °5 21 29 20 02 18 44 17 33 16 28 15 29 14 35 13 4° 12 59 12 17 30 40 31 27 29 21 27 27 25 43 24 08 22 42 21 21 20 08 19 00 17 58 16 59 16 05 40 50 37 0° 34 44 32 39 3° 44 28 58 27 20 25 49 24 25 23 06 21 53 20 44 19 40 50 1 00 41 37 39 17 37 08 35 °7 33 14 31 29 29 5° 28 17 26 50 25 29 24 12 23 00 1 OO lO 45 26 43 °8 4° 57 3° 53 42 08 3°57 35 °8 33 23 31 46 3° 14 28 45 27 23 26 05 10 20 48 35 46 19 44 11 40 10 38 18 3° 32 34 51 33 15 31 43 30 16 28 53 20 30 51 « 49 00 4° 54 44 53 42 5° 41 °4 39 17 37 34 35 57 34 22 32 53 31 26 30 40 53 20 51 H 49 1° 47 12 45 18 43 27 41 41 39 58 3» 19 3° 44 35 12 •33 4* 40 50 55 °5 53 °4 51 06 49 11 47 19 45 30 43 45 42 04 4° 25 38 49 37 16 35 47 SO 2 00 5° 33 54 37 52 42 5° 51 49 02 47 17 45 34 43 52 42 15 40 40 39 °7 37 37 2 00 10 57 44 55*53 54 °3 52 16 5° 3i 48 47 47 °° 45 28 43 51 42 16 40 44 39 13 lO 20 5842 56 5° 55 1° 53 26 51 45 50 04 48 25 46 49 45 14 43 41 42 10 40 42 20 30 59 29 57 47 5° °5 54 25 52 47 51 1° 49 33 47 59 46 27 44 55 43 25 4i 57 30 40 60 06 58 29 5° 5i 55 15 53 39 52 05 5° 31 48 59 47 28 45 59 4° 53 44 31 43 04 40 50 60 36 59 °i 57 27 55 54 54 21 52 5° 51 19 49 5° 48 21 45 27 44 01 50 3 00 6058 59 27 57 57 5° 27 54 57 53 28 52 00 5° 32 49 06 47 39 46 15 44 51 3 00 10 61 14 59 4° 58 18 5° 52 55 25 53 58 52 32 51 °7 49 43 48 19 46 56 45 34 lO 20 61 24 59 59 58 34 57 1° 55 47 54 22 52 59 51 3° 5° 14 4851 47 30 46 09 46 38 20 30 61 29 60 07 58 45 57 24 56 02 54 41 53 19 51 58 50 38 49 17 47 57 30 40 61 30 60 10 5851 57 32 56 12 54 53 53 34 52 15 5° 57 49 38 48 19 47 01 40 50 61 27 60 10 58 53 57 35 56 18 55 °i 53 44 52 27 ■51 10 49 53 48 36 47 20 50 4 00 6t 20 60 05 585° 57 35 56 19 55 °4 53 49 52 34 51 19 50 04 48 49 47 34 4 OO 10 61 10 59 57 5843 57 3° 56 17 55 °4 53 5 5 § 29 21 28 44 28 08 27 32 27 55 26 19 25 44 25 09 30 40 30 07 29 3° 2854 28 18 27 42 27 06 26 32 25 57 25 22 2448 24 15 23 41 40 50 28 18 27 42 27 07 20 33 25 59 25,26 24 53 24 21 23 47 23 16 22 44 22 12 50 lO 00 26 24 25 51 25 19 24 47 24 14 23 42 23 12 22 40 22 10 21 39 21 10 ' 20 41 10 00 10 24 28 23 5° 23 26 22 55 22 25 21 56 21 27 20 58 20 30 20 01 19 34 19 06 lO 20 22 27 21 58 21 30 21 01 20 34 20 06 19 40 19 13 18 47 18 21 17 55 17 30 20 30 20 23 19 57 19 3° 19 05 18 40 18-15 17 5° 17 25 17 02 1638 16 15 15 51 30 40 18 16 17 52 17 28 17 06 16 42 16 19 15 57 15 36 15 14 14 53 14 31 14 10 40 50 16 06 15 4° 15 24 15 °3 14 42 14 22 14 03 13 43 13 24 13 05 12 47 12 28 50 11 00 13 54 13 35 13 16 12 58 12 41 12 24 12 06 11 49 II 33 II 17 11 00 10 44 11 00 10 " 39 11 23 n 08 1° 53 10 38 10 23 10 08 9 54 9 40 9 26 9 13 8 59 10 20 9 22 9 °9 8 56 844 8 32 8 21 8 08 7 57 746 7 35 7 23 7 13 20 30 7 02 6 53 6 44 6 34 625 ■6 16 6 08 5 59 5 51 5 42 5 33 526 30 40 4 42 4 3° 4 29 4 24 4 17 4 11 4 06 4 00 3 54 3 48 3 43 3 37 40 50 2 21 2 18 2 15 2 12 2 09 2 06 2 03 2 00 158 1 55 1 52 I 49 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In Iforth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 99 AZIMUTH OR TRUE BEARING. — LATITUDE 23°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 23°. Hour Ad gle. 48° 4»° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. in. O / / / / ' / / / / / 1 / h. m. OO OO 00 00 00 00 00 00 00 00 00 00 00 00 10 3 57 3 44 3 32 3 20 3 10 3 00 2 51 2 42 2 34 2 26 2 18 2 11 10 20 7 5i 7 24 7 01 6 39 6 19 5 58 5 4° 5 23 5 °° 4 51 4 36 6 52 4 21 20 30 " 37 11 00 10 25 9 52 9 22 8 53 8 27 8 01 7 37 7 H 6 31 30 40 is 14 14 27 13 42 13 01. 12 21 11 43 11 08 10 35 10 04 9 33 9 04 8 37 40 50 18 39 17 43 16 50 16 00 15 12 14 26 13 44 13 °4 12 25 11 48 11 13 10 40 SO 1 00 21 52 20 47 19 47 1849 17 55 17 02 16 13 15 26 14 41 13 59 13 18 12 38 1 00 10 24 5° 23 40 22 33 21 29 20 28 19 30 1835 17 43 16 52 16 04 15 17 14 32 10 20 27 34 26 19 25 07 23 57 22 52 21 49 23 58 20 48 19 51 18 56 18 02 17 11 16 22 20 30 30 03 28 44 27 29 26 15 25 06 22 54 21 52 20 53 19 55 18 59 18 06 30 40 32 19 30 57 29 39 28 22 27 09 25 58 24 51 23 45 22 42 21 40 20 42 19 44 40 50 34 21 32 57 31 36 30 17 29 02 27 49 26 38 25 3" 24 24 23 20 22 17 21 17 50 2 OO 36 11 34 46 33 23 32 04 30 46 29 3i 28 18 27 08 25 59 24 52 23 47 22 44 2 OO IO 37 48 36 23 34 59 33 39 32 21 31 04 29 49 28 37 27 26 26 17 25 10 24 °5 10 20 39 17 37 50 36 26 35 0+ 33 45 32 28 31 12 29 58 28 46 27 36 26 27 25 20 20 30 40 31 39 07 37 43 36 22 35 02 33 44' 32 28 31 13 29 5? 28 48 27 38 26 29 30 40 41 39 40 15 3852 37 31 36 11 34 52 33 36 32 21 31 06 29 54 2843 27 32 40 50 42 38 41 14 39 52 38 31 37 12 35 54 34 37 33 21 32 07 3° 53 29 41 28 30 50 3 00 43 27 42 06 40 45 39 24 38 06 36 48 35 31 34 16 33 °l 31 48 3° 35 29 23. 3 OO IO 44 12 42 51 4i 31 40 11 38 53 37 36 36 19 35 °4 33 5° 32 35 31 22 30 11 10 20 .44 49 43 29 42 10 40 51 39 34 38 17 37 °i 35 46 34 32 33 18 32 05 3° 53 20 30 45 19 44 01 42 43 4i 25 40 09 38 53 37 38 36 23 35 °9 33 56 32 43 31 31 30 40 45 45 40 05 44 28 43 11 4t 54 40 39 39 24 38 09 36 55 35 41 34 29 33 16 32 04 40 50 44 49 43 33 42 18 41 04 39 49 38 35 37 21 36 09 34 5° 33 44 32 32 50 4 OO 46 20 45 05 43 51 42 37 . 41 23 40 10 38 57 37 44 36 32 35 19 34 07 32 56 4 00 IO 4630 45 17 44 04 42 5° '4138 40 26 39 14 38 02 36 5° 35 38 34 28 33 17 IO 20 46 36 45 24 44 12 43 00 41 49 40 38 39 26 38 15 37 "4 35 54 34 43 33 33 20 30 46 37 45 27 44 17 43 06 41 56 4° 45 39 35 38 25 37 15 36 05 34 55 33 45 30 40 46 36 45 27 44 17 43 08 41 58 40 49 39 4o 38 30 37 21 3° 13 35 °4 33 54 40 50 46 30 45 22 44 15 43 06 41 58 40 49 39 4° 38 32 37 25 3° 16 35 °8 33 59 50 5 00 46 22 45 15 44 07 43 00 41 54 40 46 39 39 38 31 37 24 3° 17 35 °9 34 °l 5 OO 10 46 10 45 04 43 58 42 51 4i 45 4° 39 39 33 38 27 37 20 36 13 35 °7 34 °° 10 20 45 54 44 49 43 45 42 39 41 34 40 19 39 24 38 18 37 13 3° °8 35 °2 33 55 20 30 45 35 44 32 43 28 42 24 41 21 40 16 39 11 38 07 37 °2 35 58 34 53 33 48 30 40 45 13 44 11 43 08 42 05 41 03 40 00 38 57 37 53 36 49 35 46 34 42 33 38 40 50 44 50 43 48 42 46 41 44 40 42 39 41 3838 37 35 3° 33 35 3° 34 27 33 24 50 : 6 OO 44 22 43 22 42 21 41 20 40 19 39 18 38 17 37 15 36 14 35 12 34 1° • 33 °8 6 OO 10 43 52 42 53 41 53 '40 53 39 54 38 53 37 53 3° 53 35 52 34 51 33 5° 32 49 IO 20 43 20 42 21 41 22 4° 23 39 25 38 54 38 26 37 26 36 27 35 28 34 28 33 28 32 28 20 . 30 42 44 41 47 40 49 39 51 37 56 3658 35 58 35 00 34 °2 33 °3 32 04' 30 40 42 06 41 09 40 12 3 2 J £ 38 19 37 22 36 26 35 28 34 3° 33 33 32 35 31 37 40 50 41 24 40 29 39 34 38 38 37 42 36 47 35 5° 34 54 33 58 33 01 32 04 31 °7 50 7 00 40 41 39 47 3 2 5 2 37 58 37 03 36 08 35 14 34 19 33 23 32 28 31 32 3° 36 7 OO IO 39 55 39 °2 38 08 37 15 36 21 35 28 34 34 33 4° 32 45 31 51 30 57 30 02 10 20 39 °6 38 14 37 21 36 29 35 36 34 44 33 51 32 58 32 06 31 12 30 19 29 26 20 30 38 15 37 24 36 32 35 4i 34 50 33 58 33 07 32 15 31 23 30 32 29 4° 28 47 30 40 37 21 36 31 35 4i 34 5i 34 01 33 10 32 20 31 29 3»38 29 48 2858 28 07 40 50 36 24 35 35 34 46 33 57 33 °9 32 20 31 31 3° 41 29 52 29 03 28 13 27 24 50 8 00 35 26 34 37 33 49 , 33 02 32 13 31 26 3° 38 29 5° 29 02 28 14 27 25 26 38 8 OO 10 34 23 33 37 32 50 32 04 31 17 3° 3° 29 44 28 57 28 10 27 23 26 37 25 50 10 20 33 19 32 34 3i 48 31 02 30 17 29 32 28 47 28 01 27 16 26 31 25 4° 25 ot 20 30 32 12 31 28 30 43 29 59 29 15 28 32 27 48 27 04 26 21 25 37 24 53 24 °9 30 40 31 02 30 19 29 36 28 53 28 11 27 28 26 47 26 04 25 22 24 40 23 57 23 15 40 50 29 5" 29 °9 28 27 27 45 27 05 26 24 25 43 25 °2 24 21 23 4i 23 00 22 19 50 9 OO 28 34 27 54 27 14 26 35 25 55 25 16 24 37 23 58 23 19 22 39 22 01 21 21 9 OO IO 27 16 26 38 25 59 25 22 24 44 24 06 23 29 22 51 22 14 21 3° 20 59 20 22 10 20 25 56 25 19 24 43 24 06 23 3? 22 55 22 19 21 43 21 07 20 32 19 57 19 20 20 30 24 34 23 58 23 23 22 49 22 15 21 40 21 06 20 32 19 59 19 25 18 51 18 17 30 40 23 09 22 34 22 02 21 3° 20 57 20 24 19 52 19 20 18 48 18 16 17 45 17 13 40 50 21 40 21 09 20 39 20 07 19 37 19 06 18 36 18 06 17 36 17 06 16 35 16 06 50 io OO 20 II 19 41 19 12 1843 17 18 18 15 17 46 17 18 16 49 16 22 15 54 15 26 14 58 10 00 10 18 39 18 11 17 44 16 51 16 24 15 58 15 31 15 °6 14 4° 14 14 13 49 10 20 17 05 16 39 16 14 15 49 15 25 15 °i 14 37 14 13 13 49 13 25 13 01 12 38 20 30 15 27 15 05 14 43 14 20 13 57 13 36 13 M 12 52 12 30 12 09 11 47 11 26 30 40 : 13 5° 13 30 13 09 12 49 12 29 12 09 11 49 II 29 11 10 10 51 10 32 10 12 40 50 12 09 11 52 11 33 11 16 10 58 10 41 10 23 10 06 9 49 9 32 9 15 8 59 50 11 00 10 29 10 13 9 58 9 42 9 26 9 12 8 57 8 42 8 vj 8 12 7 58 7 43 11 00 IO 8 46 8 32 8 20 8 07 7 54 7 4i 7 28 7 17 7 °5 651 6 39 6 27 IO 20 7 02 651 6 41 631 20 6 10 6 00 5 50 5 40 5 30 5 20 5 11 20 30 5 17 5 09 5 02 4 54 4 46 4 38 4 31 4 23 4 3 50 5 00 59 58 58 53 57 48 56 42 55 37 54 3° 53 24 52 18 51 " 5° 05 4858 47 51 5 00 10 59 28 58 24 57 21 56 16 55 13 54 °8 53 03 51 58 5" 52 49 47 48 41 47 36 IO 30 58 57 57 54 56 52 55 49 54 45 53 42 52 38 51 35 51 °8 5° 3i 49 26 48 22 47 if 20 30 58 22 57 21 56 20 55 18 54 16 53 14 52 11 50 06 49 03 48 00 46 56 30 40 57 46 56 45 55 45 54 44 53 44 52 42 51 41 50 40 49 38 48 36 47 34 46 32 40 50 57 07 56 07 55 °8- 54 09 53 °9 52 09 51 08 50 08 49 08 48 08 47 06 4§ °5 50 6 OO 56 25 55 27 54 3° 53 31 52 32 51 33 5° 34 49 34 48 35 47 2,6 46 35 45 35. 6 OO 10 55 42 54 45 53 48 52 5° 51 52 5° 54 49 56 48 57 47 59 47 01 46 02 45 °2 10 20 54 56 54 00 53 °4 52 07 51 10 50 13 49 16 48 18 47 21 46 24 45 26 44 28 20 30 54 "7 53 13 52 18 51 21 50 26 49 29 48 33 47 36 46 40 45 44 44 46 43 5° 30 40 53 17 52 22 51 28 5° 33 '49 38 48 43 47 47 46 52 45 57 45 °i 44 °5 43 °? 40 50 52 24 51 30 5° 36 49 43 48 49 47 54 46 59 46 05 45 10 44 16 43 21 42 20 50 7 00 51 29 5° 36 49 42 48 46 48 49 47 56 47 °2 46 09 45 16 44 22 43 29 42 35 41 4° 7 OO 10 50 3° 49 38 47 54 47 01 46 09 45 16 44 24 43 31 42 39 41 46 4° 52 10 20 49 29 48 38 47 47 46 55 46 04 45 12 44 21 43 29 42 37 41 45 4° 53 40 01 30 30 48 25 47 35 46 44 45 54 45 °3 44 12 43 22 42 31 41 41 40 50 39 59 39 °8 30 40 47 19 46 29 45 4" 44 5° 44 00 43 " 42 20 41 31 40.41 39 52 39 °2 38 02 38 12 40 50 46 11 45 21 44 32. 43 44 42 55 42 06 41 17 40 28 39 39 38 51 37 14 50 8 OO 44 58 44 1° 43 21 42 33 41 45 4° 57 40 10 39 22 38 34 37 48 36 59 36 12 8 00 10 43 43 42 56 42 08 41 21 40 34 39 47 39 °° 38 14 37 28 .36 42 35 55 35 °9 10 30 42 24 41 37 40 52 40 06 39 20 38 34 37 48 37 03 36 18 35 33 34 47 34 °2 30 30 41 03 40 17 39 32 38 47 38 02 37 18 36 33 35 48 35 °5 34 21 33 37 32 53 30 40 39 38 3853 38 09 37 25 36 41 35 59 35 IS 34 32 33 49 33 °7 32 23 31 41 40 50 38 10 37 25 36 43 36 01 35 18 34 35 33 53 33 12 32 31 31 5° 31 08 3° 27 50 9 00 36 37 35 55 35 14 34 32 33 '51 33 1° 32 3° 31 49 31 09 30 29 29 49 29 °9 9 OO 10 35 02 34 21 33 41 33 "I 32 22 31 42 31 °2 30 24 29 45 29 07 28 27 27 50 10 20 33 23 32 44 32 05 31 27 3° 49 30 10 29 33 28 55 28 18 27 42 27 °4 26 27 30 30 31 4° 31 03 30 26 29 49 29 13 28 36 28 00 27 23 26 48 26 13 25 38 25 03 30 40 29 54 29 19 28 43 28 07 27 33 26 58 26 23 25 50 25 15 24 43 24 09 22 38 23 36 40 50 28 05 27 30 26 58 26 24 '25 5i 25 18 24 45 24 13 23 40 23 10 22 06 50 10 00 26 12 25 40 25 08 24 36 24 °5 23 34 23 04 22 33 22 03 21 33 21 04 20 35 10 00 10 24 15 23 46 23 15 22 45 22 16 21 48 21 19 20 51 20 23 19 55 19 27 19 00 10 20 . 22 16 21 48 21 20 20 52 20 25 19 58 19 32 19 06 18 41 18 15 17 5° 17 25 20 30 20 12 19 47 19 22 18 56 18 32 18 07 17 43 17 19 16 55 16 32 16 09 15 46 30 40 18 06 17 43 17 20 : 16 57 16 34 16 13 15 51 15 29 15 08 14 47 14 26 14 06 40 50 15 57 15 37 15 16 14 56 14 36 14 16 13 57 13 38 13 19 13 01 12 42 12 24 50 11 00 13 45 13 28 13 IO 12 53 12 35 12 18 12 02 II 44 11 28 11 12 1° 57 10 40 11 OO io 11 31 11 17 11 01 10 46 10 32 10 18 10 04 9 5° 9 36 9 23 9 °9 8 56 10 20 9 16 9 °3 851 8 40 8 28 8 16 8 05 7 54 7 43 7 32 7 21 7 10 30 30 658 6 49 6 40 6 30 6 22 6 13 6 05 5 56 5 48 5 39 5 32 5 24 30 40 4 40 4 33 4 28 4 21 2 08 4 10 4 04 3 58 3 53 3 47 3 41 3 36 40 50 2 20 2 17 2 14 2 11 2 05 2 02 I 59 1 56 1 53 1 51 1 49 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ^ hen the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimufi is to be taken for the required true bearing. 103 AZIMUTH OR TRUE BEARING. LATITUDE 24°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 24° Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. O 11 12 in. OO 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 SO 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 OO 4 06 8 09 T2 03 15 47 19 19 22 36 25 3» 2S 24 3° 5° 33 12 35 14 37 °3 38 40 40 05 41 20 42 27 43 23 44 12 44 54 45 3° 45 59 46 22 4° 39 46 52 47 °l 47 05 47 °5 47 02 46 56 46 44 46 30 46 13 45 53 45 3° 45 °4 44 35 44 04 43 3° 42 53 42 14 41 32 40 47 40 00 39 1° 38 17 37 22 36 25 35 25 34 22 33 17 32 10 3° 59 29 46 28 30 27 13 25 51 24 29 23 °3 21 36 20 06 18 33 16 59 15 23 13 45 12 06 10 25 8 43 7 00 5 15 3 3° I 46 00 00 3 52 7 42 11 24 H 57 18 19 21 29 24 24 27 °5 29 33 31 4° 33 47 35 36 37 12 38 38 39 54 41 01 41 58 42 49 43 32 44 08 44 39 45 °3 45 23 45 37 45 47 45 53 45 54 45 52 45 4° 45 37 45 23 45 °8 44 49 44 27 44 °2 43 35 43 °4 42 31 41 56 41 17 40 36 39 53 39 °° 38 18 37 26 36 33 35 3° 34 37 33 36 32 32 31 25 30 17 29 °5 27 51 26 34 25 15 23 55 22 31 21" 05 19 37 18 07 16 35 15 01 13 25 II 49 10 10 8 3° 6 49 5 °7 3 25 I 43 00 o 00 3 4° 7 16 10 47 14 °9 17 23 20 24 23 13 25 5° 28 14 30 24 32 23 34 1° 35 47 37 12 38 28 39 36 4° 35 41 26 42 10 42 48 43 19 43 45 44 06 44 22 44 33 44 4° 44 42 44 42 44 37 44 28 44 18 44 °2 43 45 43 24 43 °° 42 34 42 05 41 32 4° 59 40 20 39 41 3858 38 13 37 26 36 35 35 43 34 48 33 5° 32 5° 31 46 3° 41 29 33 28 24 27 12 25 56 24 40 23 19 21 57 20 34 19 07 17 40 16 II 14 39 13 °5 11 31 9 55 6 39 5 °° 3 21 1 40 o 00 o 00 3 28 6 52 10 12 13 26 16 30 19 23 22 07 24 3» 2658 29 06 31 02 32 48 34 24 35 49 37 °5 38 13 39 12 40 05 40 50 41 28 42 01 42 28 42 50 43 °8 43 20 43 28 43 32 43 32 43 29 43 21 43 11 42 58 42 41 42 22 4i 59 41 33 41 95 4° 35 40 01 39 24 38 4° 38 04 37 20 36 34 35 45 34 53 34 °° 33 °3 32 °4 31 02 29 59 28 52 27 43 26 32 25 19 24 °4 22 46 21 26 20 04 18 39 17 14 15 4° 14 17 12 46 11 13 9 4° 8 04 6 28 4 53 3 15 I 38 o 00 o 00 3 16 6 31 9 4° 12 44 15 4° 18 26 21 02 23 29 25 44 27 5° 29 44 31 28 33 °2 34 27 35 43 36 51 37 5° 38 44 39 3° 40 09 4° 43 41 II 41 34 41 53 42 06 42 15 42 21 42 22 42 20 42 14 42 05 41 52 41 36 41 19 4° 57 40 32 40 05 39 35 39 °3 38 27 37 49 37 1° 36 27 35 41 34 53 34 °3 33 « 32 15 31 17 3° 17 29 15 28 10 27 03 25 53 24 41 23 28 22 12 20 53 19 33 18 12 16 47 15 22 13 55 12 26 10 56 9 24 7 52 6 19 4 45 3 10 1 35 ■0 00 o 00 3 06 6 10 9 10 12 05 14 52 17 32 20 02 22 23 24 35 26 36 28 28 30 10 31 43 33 °7 34 23 35 31 3° 31 37 24 38 11 38 51 39 26 39 55 40 19 40 38 4° 53 41 03 41 10 41 12 41 11 41 06 40 58 40 47 40 32 40 15 39 54 39 3i 39 °5 38 36 38 05 37 3° 36 54 36 15 35 33 34 48 34 °2 33 13 32 22 31 27 3° 3' 29 32 28 31 27 28 26 22 25 14 24 °4 22 52 21 38 20 21 19 °3 17 43 16 21 H 59 13 32 12 06 10 39 9 °9 7 4° 6 09 4 37 3 °5 I 33 o 00 00 2 5 s i 5 ° 8 41 11 27 14 07 16 40 19 04 21 21 23 28 25 26 27 14 28 55 30 27 31 49 33 °5 34 12 35 12 36 06 36 53 37 34 38 09 38 39 39 °4 39 24 39 4° 39 51 39 58 ■40 03 40 02 39 58 39 51 39 41 39 27 39 " 38 52 38 3° 38 04 37 37 37 °° 36 33 35 58 35 20 34 39 33 55 33 10 32 22 31 32 3° 39 29 45 28 47 27 47 26 45 25 42 24 35 23 27 22 16 21 04 19 49 18 33 17 15 15 55 14 34 13 II II 47 10 21 8 54 7 27 5 59 4 30 3 0° 1 30 o 00 5 32 8 14 1° 53 13 25 15 51 18 10 20 21 22 23 24 18 26 03 27 42 29 12 3° 34 31 48 32 54 33 55 34 49 35 36 36 '7 3° 53 37 24 37 5° 38 10 38 27 38 39 3848 38 53 38 53 38 51 38 45 38 35 38 23 38 08 37 49 37 28 37 05 36 37 36 08 35 36 35 °2 34 25 33 45 33 °3 32 19 31 32 3° 44 29 52 2858 28 03 27 °4 26 03 25 01 23 56 22 50 21 41 20 31 19 18 18 03 16 48 15 29 14 II 12 50 II 27 10 05 8 40 7 15 5 49 4 22 2 55 00 2 38 5 15 7 48 10 19 12 45 15 °4 17 17 19 23 21 21 23 13 24 55 26 31 27 59 29 20 3° 33 31 39 32 39 33 32 34 2° 35 °2 35 38 3,6 09 36 3° 36 57 37 15 37 28 37 37 37 42 37 45 37 43 37 37 37 3° 37 18 37 °4 36 46 36 26 36 03 35 38 35 09 34 39 34 °6 33 3° 32 51 32 II 31 27 30 42 29 54 29 °4 2b 12 27 18 26 20 25 22 24 21 23 17 22 13 21 05 19 57 18 46 17 34 16 20 15 °4 13 46 12 28 11 08 9 48 8 25 7 °3 5 39 4 15 2 5° 1 25 o 00 00 2 3° 4 58 7 24 9 47 12 06 14 19 16 27 18 27 20 22 22 10 23 49 25 22 26 48 28 07 29 19 30 25 31 24 32 17 33 °5 33 4° 34 24 34 55 35 22 35 45 36 02 36 17 36 27 36 33 3°36 3° 35 36 3' 36 23 36 13 36 00 35 44 35 24 35 °2 34 38 34 " 33 41 33 °9 32 34 31 57 31 18 3° 36 29 52 29 c6 28 17 27 25 26 33 25 38 24 4° 23 41 22 39 21 36 20 30 19 23 18 15 17 °4 15 52 14 39 13 24 12 07 10 49 9 31 8 II 651 5 30 4 08 2 45 I 23 o 00 o 00 2 22 4 43 7 02 9 18 11 29 13 36 15 38 17 35 19 25 21 08 22 45 24 16 2540 26 57 28 07 29 12 30 11 31 °3 31 51 32 33 33 1° 33 42 34 1° 34 32 34 51 35 °6 35 17 35 24 35 27 35 27 35 24 35 18 35 °8 34 56 34 41 34 23 34 °l 33 38 33 12 32 44 32 13 31 39 31 °3 3° 25 29 44 29 01 28 16 27 29 2° 39 25 48 24 54 23 59 23 01 22 00 20 59 19 55 18 51 17 43 16 34 15 24 14 13 13 00 II 46 10 31 9 14 7 57 638 5 20 4 01 2 41 1 20 o 00 o 00 2 15 4 28 6 40 8 49 1° 55 12 55 14 53 16 44 18 30 20 09 21 43 23 II 24 32 25 48 26 57 28 00 28 58 29 51 30 38 31 20 31 56 32 29 32 57 33 1° 33 39 33 54 34 °6 34 13 34 IS 34 19 34 17 34 II 34 °3 33 52 33 37 33 20 33 °° 32 38 32 12 31 45 31 16 3° 43 30 08 29 31 28 52 28 10. 27 27 26 40 25 53 25 02 24 10 23 16 22 20 21 22 20 22 19 20 18 16 17 II 16 04 14 57 13 47 12 37 11 25 10 11 8 57 7 43 6 26 5 1° 3 53 2 36 1 18 o 00 ll. O 10 111. OO lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or west of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 104 AZIMUTH OR TRUE BEARING. LATITUDE 24°. DECLINATION— SAME NAME AS— LATITUDE- LATITUDE 24°. Hour Angle. 60° 61° 62° 63° 64° — v 65° 66° 67° 68° [69° 70° Hour Angle. h. mi. o / / t / / / / / ' / / b. in. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 lO 2 07 2 01 I 54 1 48 1 43 1 37 1 31 1 26 1 21 1 16 1 11 10 20 4'4 4 01 3 48 3 35 3 24 3 13 3 01 2 5; 2 42 2 31 <• 2 22 20 30 6 19 5 59 5 41 5 22 5 05 4 48 4 32 4 16 4 01 3 46 3 33 30 40 8 22 7 55 7 3° 7 °7 6 44 6 21 6 01 5 4° 5 20 5 01 4 42 40 50 10 21 9 49 9 18 849 8 20 7 53 7 27 7 02 638 6 14 5 51 50 1 00 12 17 11 39 11 03 10 29 9 55 9 33 852 8 22 7 53 7 25 6 58 1 00 lO 14 08 13 26 12 45 12 05 II 20 10 50 10 15 9 4o 9 °7 8 35 8 04 10 20 15 55 15 °7 14 22 13 38 12 55 12 14 11 35 10 56 10 19 9 43 10 48 9 08 20 30 17 36 16 44 15 55 15 07 14 20 13 35 12 52 12 10 11 29 10 10 30 40 19 12 18 17 17 24 16 32 15 41 14 53 14 06 13 20 12 35 11 52 11 10 40 50 20 42 19 44 1847 17 52 16 59 16 06 15 16 14 28 13 39 12 52 12 08 1 50 2 00 22 07 21 06 20 07 19 °9 18 12 17 17 16 24 15 32 14 41 13.51 13 03 2 00 10 23 27 22 22 21 21 20 20 19 21 18 24 17 27 16 32 15 38 14 46 13 5° 10 20 24 40 23 34 22 29 21 27 20 26 19 25 18 27 17 30 16 34 15 40 14 45 20 30 25 48 24 40 23 35 22 30 21 27 20 25 19 24 18 25 17 27 16 29 15 33 30 40 26 50 25 4i 24 33 23 28 22 22 21 19 20 17 19 16 18 15 17 16 16 18 40 50 27 47 26 37 25 28 24 21 23 15 22 09 21. 05 20 02 19 01 17 59 17 00 50 3 OO 28 38 27 28 ' 26 18 25 10 24 °3 22 56 21 51 20 46 19 43 18 40 17 3? 3 00 10 29 25 28 14 27 03" 25 54 24 46 23 38 22 32 21 27 20 22 19 18 18 16 10 20 30 07 2855 27 45 26 35 25 26 24 17 23 10 22 04 20 58 19 53 18 49 20 30 30 44 29 32 28 21 27 11 26 01 24 52 23 44 22 37 21 31 20 25 19 19 30 40 31 16 30 04 2853 27 43 26 33 25 24 24 15 23 07 21 59 2° 53 19 48 40 50 31 44 30 32 29 22 28 11 27 00 25 5i 24 42 23 34 22 26 21 19 20 13 50 4 00 32 08 30 57 29 46 2835 27 25 26 15 25 06 23 58 22 49 21 42 20 35 4 OO lO 32 28 31 16 30 06 28 56 27 45 26 35 25 27 24 18 23 10 22 02 20 54 10 20 32 43 3i 32 30 22 29 13 28 03 26 54 25 45 24 35 23 27 22 19 21 11 20 30 32 55 31 46 30 36 29 26 28 17 27 07 25 58 24 5° 23 42 22 33 21 25 30 40 33 04 32 54 3° 45 29 36 28 27 27 18 26 10 25 02 23 53 22 45 21 37 40 50 33 09 32 00 3° 52 29 43 2835 27 26 26 18 25 10 24 02 22 54 21 47 50 5 00 33 " 32 03 3° 55 29 47 28 39 27 31 26 24 25 16 24 08 23 01 21 53 5 00 lO 33 1° 32 02 3° 55 29 47 28 41 27 34 26 26 25 19 24 II 23 "5 21 58 10 20 33 05 31 59 30 52 29 4° 28 39 27 32 26 26 25 19 24 12 23 °5 21 59 20 30 32 57 31 52 30 46 29 41 28 35 27 28 26 23 25 17 24 II 23 05 21 59 30 40 32 47 31 43 3°38 29 32 28 28 27 22 26 18 25 13 24 °7 23 02 21 55 40 50 32 34 31 3° 30 27 29 23 28 18 27 14 26 10 ' 25 05 24 00 22 55 21 51 50 6 00 32 17 31 15 30 12 29 09 28 06 27 03 26 00 24 5° 23 52 22 48 21 43 6 00 10 31 59 3° 57 29 55 28 53 27 5i 26 49 25 46 24 44 23 4° 22 37 21 34 IO 20 31 37 30 36 29 36 28 35 27 33 26 32 25 31 24 29 23 27 22 25 21 23 20 30 31 14 3" 14 29 14 28 50 28 14 27 14 26 14 25 13 24 13 23 11 22 11 21 10 30 40 3° 47 29 49 27 51 26 52 25 53 24 54 23 54 22 53 21 54 20 54 40 50 30 19 29 21 28 23 27 26 26 28 25 29 24 32 23 33 22 34 21 35 20 35 50 7 00 29 47 28 51 27 54 26 58 26 01 25 °4 24 08 23 10 22 12 21 14 20 16 7 00 10 29 13 28 19 27 23 26 28 25 33 24 37 23 4i 22 46 21 49 20 52 19 55 10 20 2838 27 44 26 50 25 5° 25 02 24 08 23 13 22 19 21 23 20 27 19 32 20 30 27 59 27 07 26 15 25 22 24 29 23 36 22 43 21 5° 20 55 20 01 19 °7 30 40 • 27 20 26 28 25 37 24 4° 23 54 23 °3 22 10 21 19 20 25 19 33 18 40 40 50 26 37 25 48 24 58 24 08 23 17 22 26 21 36 20 46 19 55 19 03 18 12 50 8 00 25 52 25 °4 24 15 23 27 22 38 21 49 21 01 20 11 19 21 18 31 17 42 8 OO 10 25 06 24 19 23 32 22 45 21 58 21 IO 20 23 19 36 1847 17 59 H r i 10 20 24 17 23 32 22 46 22 01 21 15 20 29 19 43 18 57 18 11 17 25 16 38 20 30 23 27 22 43 21 59 21 15 20 30 19 46 19 02 18 17 17 32 16 48 16 03 30 40 22 34 21 52 21 09 20 27 19 45 1857 19 02 18 19 17 37 16 53 16 10 15 27 40 50 21 39 20 59 20 18 19 37 18 15 17 35 16 55 16 13 15 31 14 5° 50 » 00 20 43 20 04 19 25 18 47 18 08 17 28 16 49 16 10 15 31 14 51 14 11 9 OO 10 19 45 19 08 18 31 17 53 17 16 16 39 16 02 15 24 14 4° 14 09 13 31 rio 20 iS45 18 10 17 35 16 59 16 24 15 48 15 13 14 37 14 02 13 26 12 50 20 30 17 43 17 10 16 36 16 03 15 3° 14 56 14 23 13 49 13 16 12 42 12 08 30 40 16 40 16 08 15 3° 15 °° 14 34 14 °3 13 31 13 °° 12 28 11 57 11 25 40 50 15 35 15 °° 14 36 14 °7 13 38 13 °8 12 39 12 09 11 39 11 10 10 40 50 10 00 14 29 14 02 13 35 13 °7 12 40 12 12 11 45 11 17 10 50 10 23 9 54 10 00 10 13 22 12 56 12 31 12 06 11 41 11 15 10 50 10 25 9 59 9 33 9 08 10 20 12 13 11 5° 11 27 11 03 10 41 10 17 9 54 9 31 9 08 8 44 8 22 20 30 11 03 10 42 10 21 10 00 9 40 9 18 858 8 37 8 16 7 54 7 33 SO 40 9 52 9 34 111 85° 8 37 8 19 8 00 7 41 7 22 7 03 6 45 40 50 8 40 8 25 7 51 7 35 718 7 01 6 45 6 28 6 12 5 56 50 11 00 7 28 7 13 7 00 6 45 631 6 17 6 03 5 49 5 34 5 20 5°5 11 00 lO 6 IS 6 02 5 5° 5 39 5 27 5 15 5 "3 4 51 4 39 4 27 4 16 10 20 5 00 4 51 4 41 4 32 4 22 4 12 4 °3 3 54 3 44 3 34 3 25 20 30 3 45 3 38 3 32 3 24 3 17 3 10 3 02 2 5 5 1 58 2 49 2 41 2 34 30 40 2 31 2 25 2 21 2 16 2 12 2 06 2 02 1 52 I 48 1 43 40 SO 1 16 I 13 1 11 1 08 I °5 1 °3 1 01 59 56 ° 54 51 50 12 00 00 00 * 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 105 AZIMUTH OR TRUE BEARING. LAT1TIDE 25°. DECLINATION— SAME NAME AS— LATITUDE. latitude: 25°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ii. in. o / / ' / / / ' / . , / / / b. 111. 00 180 oo 00 00 00 00 00 00 00 00 00 00 00 10 113 12 89 28 65 34 47 47 04 55 36 11 28 34 23 21 19 38 16 50 14 42 13 °° 11 36 10 20 101 21 f, 57 76 26 55 °4 46 58 40 27 35 « 30 57 27 29 24 37 22 12 20 30 96 46 88 25 80 00 7i 51 64 16 57 26 5i 23 46 06 41 32 37 36 34 10 31 11 30 40 94 10 87 53 81 33 75 35 69 17 §3 36 58 21 53 32 49 °9. 45 13 41 41 38 29 40 50 92 24 87 21 82 15 77 12 72 15 67 28 62 55 5838 54 37 5° 53 47 17 44 16. 50 1 00 91 03 86 49 82 33 78 19 74 06 70 01 66 02 62 12 58 35 55 °7 51 53 55 18 48 49 1 00 10 89 55 88 56 86 17 82 37 78 57 75 18 71 43 68 13 64 48 61 29 58 19 52 24 10 20 85 44 82 32 79 18 76 05 72 54 69 45 66 41 63' 41 60 46 57 56 55 14 20 30 88 03 85 12 82 19 79 26 76 34 73 42 70 52 68 03 65 19 62 38 60 00 57 28 30 40 87 i4- 84 39 82 03 79 27 76 50 74 14 71 39 69 05 66 33 64 04 61 38 59 14 40 50 86 27 84 06 81 43 79 21 7° 57 74 33 '72 11 69 49 67 29 65 10 62 54 6038 50 2 00 85 43 83 32 81 21 79 09 76 57 74 45 72 32 70 21 68 10 66 01 63 53 61 45 2 OO lO 85 00 82 59 8057 78 54 76 51 74 48 72 45 70 42 68 40 6638 6438 62 38 10 20 84 18 82 25 80 31 78 37 76 41 74 46 72 51 70 55 69 00 67 05 65 12 63 18 20 30 l 3i6 c 81 50 80 03 78 16 76 28 74 39 72 50 71 02 69 13 67 25 65 37 63 49 30 40 82 56 81 15 79 35 77 53 76 10 74 29 72 45 71 02 69 20 67 36 65 54 64 12 40 50 82 15 80 40 79 °5 77 28 75 51 74 .14 72 37 7058 69 20 67 43 66 05 64 26 50 3 00 81 35 80 04 78 33 77 01 75 3° 73 57 72 24 70 50 69 17 67 43 66 09 64 36 3 OO 10 80 55 79 28 78 00 76 33 75 05 73 37 72 07 70 39 33 67 40 66 09 64 40 lO 20 80 14 78 51 77 28 76 04 74 40 73 14 71 49 70 23 67 32 66 06 6438 20 30 79 34 78 14 77 36 7° 54 75 33 74 " 72 50 71 28 70 06 6843 67 20 65 58 64 34 30 40 7852 76 18 75 01 73 42 72 24 71 04 69 45 6825 67 05 65 46 64 25 40 50 78 II 76 57 75 42 74 26 73 11 7i 55 70 39 69 22 68 05 66 48 65 30 64 12 50 4 00 77 29 76 17 75 05 73 52 72 39 7i 25 70 12 " 6857 67 42 66 28 65 13 63 57 4 OO 10 76 47 75 37 74 26 73 16 72 05 70 53 69 42 68 30 67 17 6605 64 52 63 38 10 20 76 04 74 56 73 48 72 39 7i 3° 70 21 69 11 68 01 6651 65 40 64 29 63 17 20 30 75 20 74 14 73 °7 72 00 7° 54 69 46 68 37 67 3° 66 21 65 12 64 03 62 53 30 40 74 36 73 31 72 26 71 21 70 15 69 09 68 03 6657 65 50 64 42 63 35 62 27 40 50 73 50 72 47 71 44 70 40 69 36 68 32 67 27 66 22 65 16 64 10 63 05 61 59 50 5 OO , 73 04 72 02 71 00 69 57 68 55 67 52 66 48 65 45 64 41 63 37 62 33 61 28 5 OO 10 72 17 71 16 70 15 69 14 68 13 67 10 66 09 6507 64 03 63 00 61 58 60 54 10 20 71 28 70 29 69 28 68 28 67 28 66 28 65 27 64 26 63 25 62 23 61 21 60 20 20 30 70 39 69 40 68 41 67 42 66 43 65 44 64 43 63 44 62 43 61 43 60 43 59 41 30 40 69 48 68 50 67 52 66 54 65 55 64 57 63 59 63 00 62 00 61 01 60 02 59 °2 40 50 68 55 67 59 67 01 66 04 65 07 64 09 63 12 62 13 61 16 60 17 59 19 58 20 50 6 OO 68 02 67 06 66 09 65 13 64 16 63 19 62 23 61 25 60 29 59 31 58 34 57 36 6 OO 10 67 07 66 11 65 15 64 19 63 24 62 28 61 32 60 36 59 40 58 43 57 47 56 50 10 20 66 09 65 15 64 2b 63 25 62 30 61 -35 60 39 59 44 5848 57 53 56 57 5° 01 20 30 65 11 64 16 63 22 62 27 61 34 60 39 59 45 58 49 57 55 57 °° 56 06 55 10 30 40 64 10 63 16 62 22 61 29 60 36 59 41 58 47 57 53 57 00 56 05 55 °8 55 11 54 17 40 50 63 08 62 14 61 20 60 27 59 34 5841 57 48 56 55 56 02 54 16 53 22 50 7 OO 62 01 61 10 60 17 59 25 58 32 57 40 56 46 55 54 55 °2 54 °9 53 17 52 23 7 OO lO 60 54 60 03 59 11 58 18 57 26 5° 33 55 42 54 51 53 59 53 °6 52 15 51 23 10 20 59 45 58 53 58 02 57 1° 56 19 55 27 54 36 53 44 52 53 52 02 5i 11 50 20 20 30 58 33 57 41 56 50 55 59 55 °9 54 17 53 27 52 36 51 45 50 55 50 05 49 14 30 40 57 17 56 27 55 36 54 45 53 55 53 05 52 14 51 25 50 35 49 45 48 5° 48 06 40 50 55 59 55 09 54 '9 53 28 52 39 51 49 51 00 5° I0 49 21 48 32 47 44 46 54 50 8 OO 54 38 53 48 52 58 52 08 51 20 5° 30 49 4i 48 53 48 04 47 16 46 28 45 39 8 OO lO 53 13 52 24 51 35 50 45 49 58 49 09 48 20 47 33 46 45 45 58 45 11 44 23 10 20 51 45 50 56 5008 49 '9 48 32 47 44 46 56 46 09 45 22 44 35 43 50 43 °3 20 30 50 13 49 25 48 37 47 49 47 01 46 15 45 29 44 42 43 55 43 1° 42 25 41 39 30 40 48 36 47 49 47 02 46 15 45 29 44 42 43 56 43 " 42 26 41 41 40 57 40 12 40 50 4657 46 10 45 23 44 37 43 52 43 06 42 22 41 36 4° 53 40 08 39 26 38 42 50 9 OO 45 12 . 44 26 43 40 42 54 42 10 41 26 40 42 39 59 39 15 3832 37 51 37 09 9 00 lO 43 23 42 37 41 52 41 08 40 25 39 42 38 59 38 17 37 34 36 53 36 13 35 32 10 20 41 29 40 44 40 01 39 17 38 35 37 53 37 11 36 31 35 50 35 10 34 31 33 5i 20 30 39 29 38 47 38 04 37 22 36 42 36 00 35 21 34 41 34 02 33 23 32 45 32 07 30 40 37 25 36 44 36 03 35 22 34 42 34 04 33 25 32 47 32 09 31 32 3° 55 30 19 40 SO 35 16 34 36 33 56 33 18 32 4° 32 02 31 25 30 49 30 12 29 37 29 03 28 27 50 10 00 33 01 32 23 31 45 31 08 3° 3K 29 5f 29 21 28 46 28 12 27 39 27 06 26 33 lO OO lO 30 41 30 04 29 29 28 54 28 19 27 46 27 13 26 40 26 08 25 3b" 25 05 24 34 lO 20 28 15 27 41 27 08 26 36 26 03 25 31 25 °o 24 30 24 00 23 3° 23 02 22 33 20 30 25 45 25 13 24 41 24 11 23 42 23 13 22 43 22 15 21 48 21 21 20 54 20 28 30 40 23 08 22 39 22 10 21 42 21 16 20 49 20 23 19 58 19 33 19 08 18 44 18 20 40 50 20 27 20 01 19 35 19 11 1847 18 22 17 59 17 37 17 14 16 52 16 31 16 10 50 11 OO 17 41 17 18 1656 16 34 16 13 15 52 15 32 15 12 14 53 14 33 14 15 13 56 11 00 10 14 52 14 32 14 12 13 55 13 36 13 18 13 °i 12 44 12 28 12 12 11 56 11 40 10 20 n 58 II 42 II 26 11 11 10 57 10 42 10 28 10 15 10 01 9 48 9 36 9 23 20 30 9 01 8 49 8 37 8 26 8 14 8 04 7 53 7 43 7 32 7 23 7 14 7 °3 30 40 6 03 5 54 5 45 5 38 5 3i 5 23 5 17 5 09 5 °3 4 56 4 49 4 43 40 50 3 02 2 57 2 53 2 49 2 46 2 42 2 38 2 35 2 32 2 28 2 25 2 21 50 12 OO 00 00 00 00 00 06* 00 00 00 00 00 00 12 00 Iu North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned form North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are" reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 106 AZIMUTH OR TRUE BEARING. LATITUDE 25°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 25°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. in. o / / / / / / »- / / / ' / / Ii. 111. O OO 00 00 00 00 00 00 00 00 - 00 00 00 00 00 io 10 28 9 3° 8 41 7 58 7 21 6 48 6 19 5 54 5 3° 5 09 4 50 4 32 10 20 20 OO/ 18 24 16 53 15 34 14 24 13 21 12 26 II 37 10 52 10 11 9 33 14 06 8 59 20 30 28 35 26 18 24 18 22 31 2° 55 19 29 18 11 17 01 15 58 15 «> 13 17 30 40 35 38 33 °4 3° 45 28 40 26 46 25 °3 23 28 22 03 20 43 19 31 18 24 17 21 40 50 41 21 38 41 36 13 ♦33 58 31 53 29 58 28 13 26 35 25 04 23 40 22 22 21 IO 50 1 OO 45 58 43 18 40 47 38 28 36 18 34 17 32 24 3° 38 29 00 27 27 26 01 24 40 1 OO IO 49 40 47 04 44 35 42 16 40 05 38 01 36 03 34 14 32 3° 30 52 29 19 27 52 10 20 52 37 50 07 47 43 45 26 43 16 41 12 39 14 37 22 • 35 35 33 53 32 17 3° 45 20 30 5-1 59 52 37 50 19 48 05 45 58 48 14 43 55 41 58 40 05 38 18 36 34 34 56 33 21 30 40 5§54 54 39 52 26 50 18 46 14 44 19 46 18 42 27 40 40 38 56 37 16 ' 35 40 40 50 58 26 56 18 54 11 52 08 50 08 48 U 44 29 42 42 40 59 39 20 37 43* 50 2 OO 59 4° 57 38 5 § 3 ^ 53 40 5i 44 49 51 48 01 46 03 44 29 42 47 41 08 39 32 2 00 10 60 40 58 43 5648 54 54 53 03 51 15 49 28 47 43 46 00 44 20 42 43 41 °7 10 20 61 26 59 35 57 45 55 57 54 °9 52 24 50 40 48 59 47 19 45 41 44 05 42 31 20 30 62 02 60 17 58 31 56 47 55 04 53 23 51 42 50 03 48 26 46 50 45 16 43 44 44 4° 30 40 62 29. 60 49 59 °8 57 27 55 49 54 10 52 33 5° 57 49 23 47 49 46 17 40 50 62 49 61 12 59 36 57 59 56 24 54 49 53 15 Si 42 50 10 48 38 47 09 45 4° 50 3 00 63 02 61 30 59 57 58 24 5« 52 55 20 53 49 52 19 5° 49 49 20 47 52 46 25 3 00 IO 63 10 61 41 60 11 5842 57 12 55 44 54 16 52 48 51 21 49 55 48 28 47 03 IO 20 63 12 61 46 60 19 58 53 57 27 56 02 54 36 53 1° 51 46 50 21 4858 47 34 20 30 63 10 61 47 60 24 59 0° 37 37 56 14 54 51 53 28 52 05 5° 43 49 21 48 00 30 40 «& °4 to 54 61 44 60 23 59 °2 57 42 56 20 55 °° 53 4° 52 19 5° 59 49 39 48 19 40 50 61 36 60 18 59 °° 57 42 56 23 55 °5 53 46 52 28 .51 i° 49 51 48 33 50 4 OO 62 42 61 25 60 10 58 53 57 38 56 21 55 °5 53 48 52 32 51 15 49 59 48 43 48 48 4 00 IO 62 25 61 11 59 58 58 44 57 3" 56 15 55 °° 53 46 52 31 51 17 50 02 10 20 62 06 6° 55 59 43 58 3° 57 18 56°° 54 53 53 4° 52 27 51 15 50 02 48 48 20 30 61 44 &> 35 59 24 58 14 57 03 55 52 54 42 53 31 52 19 52 08 51 08 49 57 48 46 30 40 61 19 60 11 59 °3 57 54 56 45 55 36 54 27 53 17 5058 49 48 48 38 40 50 60 52 59 46 58 39 57 33 56 25 55 17 54 °9 53 °i 51 53 50 45 49 36 48 28 50 5 OO 60 23 n *i 58 12 57 °7 56 01 54 5;, 53 49 52 42 51 35 5° 28 49 21 48 14 5 00 10 59 52 58 48 57 43 56 39 55 35 54 3° 53 25 52 20 51 14 50 09 49 °3 47 58 10 20 59 *7 58 15 57 12 56 09 55 °6 54 °3 52 59 51 55 5° 51 49 46 48 42 47 37 20 30 58 40 57 39 5638 55 37 54 35 53 32 52 29 5i 27 50 24 49 22 48 18 47 15 30 40 58 02 57 02 56 01 55 01 54 °° 52 59 51 58 5° 56 49 55 48 54 47 52 46 49 40 50 57 21 56 22 55 23 54 24 53 24 52 24 51 24 5° 24 49 23 4823 47 21 46 21 50 6 OO 5638 55 40 54 42 53 43 52 45 51 47 5° 47 49 48 48 49 47 49 46 49 45 49 6 00 10 55 52 54 56 53 58 53 01 52 03 5i °5 50 07 49 1° 48 11 47 13 46 14 45 15 IO 20 55 05 54 °9 53 13 52 17 51 20 5° 23 49 26 48 28 47 32 $ 34 45 53 45 36 4438 20 30 54 15 53 20 52 25 51 29 5° 33 49 38 48 42 47 45 46 49 44 56 43 59 30 40 53 23 52 28 52 29 51 34 5° 39 49 45 48 5° 47 54 46 59 46 05 45 09 44 13 43 17 40 50 51 35 5° 41 49 47 40 54 48 00 47 °S 46 11 45 17 44 23 43 28 42 33 50 7 OO 51 31 5°38 49 46 48 53 48 00 47 °7 46 13 45 21 44 27 43 34 42 4° 41 47 7 00 10 5° 3i 4? 3 2 4838 48 47 47 55 47 °4 46 12 45 19 44 26 43 35 42 42 41 50 4° 57 IO 20 49 29 47 46 46 56 46 05 45 13 44 22 43 31 42 4» 41 48 4° 57 40 05 20 30 48 24 47 35 46 44 45 54 45 °4 44 13 43 23 42 32 41 42 4° 52 40 02 39 11 30 40 47 17 : 46 27 45 38 44 48 43 59 43 1° 42 20 41 31 40 42 39 53 39 03 38 13 40 50 46 06 45 18 44 29 43 41 42 52 42 04 41 16 40 27 39 39 38 51 38 02 37 14 50 8 00 44 53 44 °4 43 17 42 29 41 43 4° 55 40 07 39 20 38 33 37 46 36 59 36 12 8 00 10 43 36 42 49 42 03 41 16 40 30 39 44 3858 38 11 37 26 36 40 35 53 3508 IO 20 42 17 41 31 40 46 40 00 39 15 38 3° 37 45 3628 36 59 36 15 35 30 34 45 34 00 20 30 40 55 40 10 39 25 3841 37 56 37 12 35 44 35 01 34 18 33 34 32 50 30 40 39 29 38 45 38 01 37 18 36 35 35 52 35 °9 34 26 33 45 33 02 32 20 31 38 40 50 38 00 37 17 3° 34 35 53 35 II 34 29 33 47 33 °° 32 26 31 45 31 04, 30 24 50 9 00 36 27 35 46 35 °4 34 24 33 44 33 03 32 23 31 43 31 °4 30 24 29 45 ' 29 OS 9 OO 10 34 51 34 " 33 32 32 52 32 13 31 34 3° 55 30 17 29 39 28 12 29 01 28 24 27 46 10 20 33 " '32 33 31 55 31 17 30 40 3° °3 29 25 28 48 27 35 27 00 26 24 20 30 31 29 3° 53 30 16 29 39 29 °4 28 28 27 52 27 17 26 42 26 07 25 32 24 58 30 40 29 43 29 08 28 33 27 58 27 24 26 50 26 16 25 43 25 09 24 37 24 04 23 31 40 50 27 54 27 20 26 47 26 14 25 41 25-09 24 38 24 °5 23 35 23 03 22 32 22 OT 50 10 00 26 01 25 3° 24 58 24 27 23 56 23 26 22 56 22 26 21 57 21 28 20 58 20 30 10 00 IO 24 °4 23 34 23 05 22 36 22 08 21 39 21 11 20 43 20 17 19 49 19 22 18 5° 10 20 22 05 21 38 21 11 20 43 20 17 IP 51 19 25 18 59 18 34 18 09 17 44 17 19 20 30 20 03 19 38 19 12 18 48 18 24 18 00 17 36 17 12 16 49 16 27 16 04 15 42 30 40 I? 57 17 34 17 12 16 50 16 27 16 07 15 45 15 24 15 03 14 43 14 21 14 01 40 50 15 49 15 28 15 °9 14 49 14 29 14 10 13 51 13 32 13 14 12 56 12 39 12 20 50 11 00 • 13 39 13 21 13 °3 12 46 12 29 12 13 11 56 11 40 11 24 11 08 10 53 IO 37 ;n 00 10 11 25 II II 10 56 10 42 10 28 10 14 9 59 9 46 9 33 9 19 9 06 8 53 10 20 9 ii 8 58 847 8 36 8 23 8 12 8 02 7 5° 7 40 7 29 7 19 7 08 20 30 6 54 6 46 636 6 28 6 19 6 11 6 01 5 53 5 46 5 37 5 30 5 22 30 40 4 37 4 31 4 25 4 19 4 12 4 °7 4 01 3 57 3 51 3 45 3 40 3 35 40 50 2 19 2 16 2 13 2 09 2 06 2 04 2 01 1 58 1 55 1 53 I 50 1 48 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 107 AZIMUTH OR TRUE BEARING. LATITUDE 2 5°. DECUNATION- -SAME NAME AS-I.ATITUDE. LATITUDE 25°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / / / / / / O / / 1 / / / b. in. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 00 10 4 16 4 01 3 47 3 35 3 23 3 12 3 02 D 01 2 52 2 42 2 34 2 26 2 19 10 20 8 28 7 59 7 32 7 07 644 6 22 5 42 5 2 4 5 °7 4 5° 4 35 20 30 12 31 11 49 11 ii 10 34 9 59 9 17 8 n 11 48 8 29 8 02 7 36 7 12 6 50 30 40 16 24 15 3° 14 40 13 52 13 °9 16 09 12 27 11 11 10 37 10 03 9 32 9 02 40 50 20 01 1858 17 59 17 01 15 19 14 32 13 48 13 °5 12 26 11 47 II 10 50 1 00 23 23 22 11 21 04 20 00 19 00 18 02 17 08 16 17 1528 14 41 16 51 13 57 13 14 1 00 10 26 29 25 10 23 57 26 37 22 47 21 39 20 37 19 36 18 39 17 "4 16 02 15 13 10 20 29 17 27 54 25 21 24 °9 23 °i 21 54 20 52 19 51 18 54 17 59 17 °7 20 30 31 51 30 24 29 02 27 42 26 27 25 14 24 04 26 04 22 56 21 53 20 51 19 5i 18 55 30 40 34 08 32 39 31 14 29 52 28 32 27 17 24 53 20 40 23 45 22 40 21 3° 20 35 40 50 36 10 34 39 33 13 31 49 30 27 29 09 27 53 25 2 9 24 20 23 14 22 10 50 2 00 37 59 36 27 3 5°2 30 3° 33 34 32 12 3° 51 29 34 28 18 27 °5 25 54 24 45 23 39 2 00 10 39 34 38 04 35 I" 33 46 32 25 31 °5 29 48 28 33 27 21 26 10 25 °° IO 20 40 59 39 28 38 01 36 34 35 1° 33 49 32 29 31 10 29 54 28 39 27 27 26 17 20 30 42 12 40 43 39 16 37 50 36 25 35 °4 33 44 32 24 31 °7 29 52 28 39 27 26 30 40 43 16 ' 4i 4» 40 22 38 57 37 33 36 11 34 5° 33 31 32 13 3°, 57 29 43 28 30 40 50 44 " 42 45 41 19 39 55 3831 37 1° 35 49 34 3° 33 13 31 5° 30 40 29 27 50 3 OO 44 58 43 33 42 09 40 45 39 23 38 02 36 42 35 23 34 °5 32 49 31 33 3° 19 3 OO 10 45 39 44 14 42 52 41 3° 40 08 38 47 37 28 36 1° 34 52 33 36 32 20 31 °5 IO 20 46 12 44 48 43 27 42 07 40 46 39 26 38 08 36 5° 35 33 34 17 33 °I 31 47 20 30 46 38 45 17 43 58 4238 41 19 40 00 38 42 37 25 36 08 34 53 33 38 32 23 30 40 47 00 45 40 44 22 43 04 4i 45 40 27 39 11 37 54 36 38 35 23 34 °9 32 55 40 50 47 15 45 58 44 41 43 24 42 07 4° 51 39 35 38 19 37 °3 35 49 34 35 33 22 50 4 OO 47 26 46 10 44 55 43 39 42 23 41 08 39 54 38 39 37 24 36 11 34 57 33 44 4 00 io 47 33 46 ;8 45 04 43 49 42 35 41 22 40 08 38 54 37 4° 36 28 35 15 34 °3 10 20 47 35 46 22 45 09 43 56 42 43 4i 3° 40 18 39 °5 37 53 3641 35 29 34 16 20 30 47 33 46 22 45 11 43 59 42 46 41 35 4° 24 39 12 38 0° 36 50 35 39 34 28 30 40 47 28 46 18 45 08 43 57 42 46 4i 36 40 26 39 16 38 °5 36 55 35 45 34 34 40 50 47 20 46 10 45 02 43 53 42 43 41 34 40 25 39 15 38 05 3656 35 47 34 38 50 5 OO 47 06 45 58 44 52 43 44 42 35 41 27 40 20 39 11 38 02 36 54 35 46 . 34 38 5 00 10 46 51 45 45 44 39 43 32 42 25 41 18 40 11 39 °3 37 56 36 49 35 42 34 34 IO 20 46 33 45 28 44 22 43 17 42 11 41 06 39 59 38 53 37 47 36 41 35 34 34 28 20 30 46 11 45 07 : 44 03 42 58 41 54 40 49 39 45 38 4° 37 35 36 3° 35 24 34 19 30 40 45 46 44 43 43 41 42 38 41 34 40 30 39 27 38 23 37 19 36 15 35 1° 34 °6 40 50 45 19 44 17 43 16 42 14 41 11 40 09 39 °° 38 04 37 °i 35 58 34 55 33 51 50 6 00 44 48 43 48 42 48 41 47 4° 45 39 44 38 43 37 41 36 39 35 37 34 35 33 33 6 OO 10 44 16 43 16 42 17 4i 17 40 18 39 17 38 17 37 16 36 15 35 15 34 13 33 12 IO 20 43 41 42 42 41 44 40 45 39 47 3848 37 48 3° 49 35 49 34 49 33 49 32 49 20 30 43 03 42 05 41 08 40 II 39 12 38 15 37 17 36 18 35 20 34 21 33 21 32 23 30 40 42 22 41 26 40 30 39 33 3836 37 4° 36 42 35 45 34 48 33 5i 32 52 31 55 40 50 41 38 40 44 39 49 38 53 37 57 37 °l 36 06 35 1° 34 14 33 17 32 21 31 24 50 ' 7 00 40 52 39 58 3 2 °§ 38 II 37 16 36 22 35 27 34 32 33 37 32 42 31 46 30 50 7 OO IO 40 05 39 12 38 18 37 26 3 6 32 35 39 34 45 33 51 32 58 32 04 31 °9 3° 15 IO 20 39 14 38 21 37 3° 3638 35 4° 34 53 34 01 33 °8 32 16 31 23 3° 3° 29 37 20 30 38 20 37 3° 36 39 35 4° 34 58 34 °6 33 15 32 24 31 32 3° 41 29 49 2857 30 40 37 24 36 35 35 45 34 55 34 °6 33 16 32 26 31 36 30 46 29 56 29 °5 28 15 40 50 3626 35 37 34 50 34 01 33 12 32 24 31 36 3° 47 29 58 29 °9 28 19 27 30 50 8 00 35 25 34 37 33 5i 33 03 32 17 31 29 3° 41 29 54 29 07 28 20 27 31 26 43 8 OO 10 34 22 33 35 32 50 32 04 31 18 3° 32 29 46 29 00 28 14 27 28 26 42 25 55 10 20 33 16 32 31 31 47 31 02 30 17 29 33 28 48 28 04 27 19 26 34 25 49 25 °5 20 30 32 08 31 24 30 4i 29 57 29 15 28 09 28 31 27 47 27 °4 26 22 25 38 24 56 24 12 30 40 30 56 30 V, 29 33 28 51 27 27 26 46 26 04 25 22 24 41 23 58 23 17 40 SO 29 42 29 02 28 22 27 41 27 01 26 21 ' 25 42 25 °i 24 21 23 41 23 °i 22 21 50 9 00 28 26 27 48 27 09 26 30 25 51 25 13 24 35 23 56 23 17 22 39 22 01 21 22 9 00 10 27 08 26 31 25 54 25 17 24 4° 24 °3 23 25 22 49 22 12 2i 35 20 59 20 22 10 20 25 47 25 II 24 37 24 01 23 25 22 50 22 15 21 39 21 05 20 30 19 55 19 20 20 30 24 24 23 5° 23 17 22 43 22 09 21 36 21 02 20 28 19 56 19 23 18 49 18 17 30 40 22 59 22 26 21 55 21 22 20 51 20 19 19 48 19 16 18 45 18 14 17 42 17 11 40 50 21 31 21 01 20 31 20 01 19 31 19 01 18 31 18 02 17 32 17 03 16 34 16 05 50 10 00 20 01 19 33 19 °5 18 37 18 09 17 41 17 13 - 16 46 16 18 15 5i 15 23 14 56 IO OO 10 18 29 18 02 17 37 17 10 16 45 16 19 15 53 15 27 15 °2 14 37 14 12 13 46 10 20 16 55 1* 3: 16 07 15 43 15 19 14 55 14 32 14 08 13 46 13 22 12 59 12 36 20 30 15 18 14 57 14 36 14 14 13 52 13 3° 13 °9 12 47 12 27 12 06 II 44 11 24 30 40 13 42 13 21 13 02 12 43 12 23 12 03 11 44 11 25 II 07 10 48 10 30 10 11 40 50 12 03 11 45 11 28 II 10 1° 53 10 36 10 19 10 02 9 46 9 3° 9 13 8 56 50 11 00 10 22 10 07 9 52 9 37 9 22 9 07 8 53 8 38 8 24 8 10 7 56 7 41 11 OO 10 8 41 8 28 815 8 03 7 50 7 38 7 26 7 14 7 02 6 50 6 37 6 26 IO 20 6 57 6 48 6 37 6 27 6 17 6 07 5 57 5 47 5 38 5 28 5 19 5 1° 20 30 5 14 5 ° 6 4 59 4 51 4 44 4 36 4 29 4 21 4 14 4 07 4 00 3 52 30 40 3 30 3 25 3 19 3 14 3 09 3 °4 2 59 2 54 2 49 2 45 2 40 2 35 40 50 1 45 1 42 I 40 1 38 I 35 ■ 1 32 1 3" 1 28 I 25, 1 23 1 21 1 18 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star Is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 108 AZIMUTH OR TRUE BEARING. LATITUDE 25°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 45°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. ' / / / / / 1 / / / / n. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 2 II 2 03 4 06 1 57 1 51 1 44 3 28 1 39 1 33 1 27 1 23 1 18 1 12 lO 20 4 21 3 53 548 3 41 3 17 3 06 2 54 2 44 2 35 2 24 3 3° 20 30 6 28 6 08 5 29 5 11 4 54 6 29 4 37 4 21 4 °5 3 50 30 40 834 8 07 7 4i 7 16 6 52 6 07 5 47 5 26 506 4 47 40 50 10 36 10 03 9 30 9 00 831 . 8 02 7 36 7 10 6 44 6 21 5 57 50 1 00 12 33 " 54 ' 11 18 10 42 10 08 9 35 9 03 831 8 01 7 33 7 °5 1 OO 10 14 28 13 43 13 01 12 20 II 40 11 03 10 26 9 51 9 16 8 44 8 12 10 20 16 16 15 27 M 39 16 14 13 54 13 II 12 29 11 47 11 08 10 29 9 53 9 18 20 30 17 59 17 06 15 25 14 37 13 50 13 06 12 22 11 40 10 59 10 20 30 40 19 3° 18 39 17 45 16 51 15 59 15 09 14 21 13 34 12 48 12 04 II 21 40 50 21 08 20 07 19 09 18 13 17 17 16 24 15 33 14 42 13 53 13 06 12 19 50 2 00 22 33 21 30 20 30 19 30 18 32 17 35 16 41 15 47 14 55 14 04 13 15 2 00 10 23 53 22 48 21 44 20 42 19 41 18 42 17 45 16 49 15 54 15 00 14 08 10 20 25 07 24 00 22 54 21 49 20 46 19 45 1845 17 47 16 49 15 53 14 59 20 30 26 15 25 06 23 59 24 58 22 53 21 48 20 44 19 42 18 41 17 42 16 44 15 47 30 40 27 17 26 07 23 51 22 44 21 39 20 36 19 33 18 30 17 31 16 32 40 50 28 14 27 02 25 52 24 44 23 35 22 29 21 24 20 20 19 17 18 15 17 14 50 3 00 29 06 27 53 26 42 25 32 24 23 23 15 22 10 21 04 19 59 18 56 17 54 3 00 lO 29 51 28 39 27 27 26 17 25 07 23 59 22 51 21 44 20 38 19 34 18 30 10 20 30 33 29 20 28 08 26 57 25 46 24 37 23 29 22 21 21 14 20 08 19 °3 20 30 31 09 29 56 28 44 27 33 26 21 25 II 24 03 22 55 21 47 20 40 19 34 30 40 31 4° 30 28 29 16 28 04 26 52 25 42 24 34 23 25 22 16 21 09 20 01 40 50 32 08 30 55 29 43 28 32 27 20 26 10 25 01 23 51 22 42 21 34 20 27 50 , 4 00 32 31 31 19 30 07 28 56 27 44 26 33 25 24 24 14 23 05 21 56 20 49 4 OO 10 32 50 31 38 30 27 29 16 28 05 26 54 25 44 24 34 23 25 22 16 21 09 lO 20 33 "5 31 54 30 43 29 32 28 21 27 11 26 01 24 51 23 42 22 33 21 25 20 30 33 16 32 05 30 55 29 45 2834 27 24 26 15 25 05 23 56 22 48 21 39 30 40 33 24 32 13 31 04 29 55 28 44 27 35 26 26 25 16 24 07 22 58 21 50 40 50 33 28 32 19 31 10 30 00 28 51 27 42 26 34 25 24 24 16 23 08 21 59 50 6 00 33 29 32 21 31 12 3° 03 2854 27 46 2638 25 29 24 22 23 13 22 05 5 00 10 33 27 32 19 31 12 3° 03 2855 27 47 26 40 25 32 24 24 23 17 22 09 10 20 33 21 32 14 31 08 30 01 28 53 27 46 26 40 25 32 24 24 23 17 22 11 20 30 33 13 32 06 31 00 29 55 28 48 27 42 26 36 25 29 24 22 23 16 22 10 30 40 33 01 31 56 3° 5i 29 46 28 40 27 35 26 30 25 24 24' 18 23 12 22 06 40 50 32 47 31 43 30 39 29 35 28 30 27 25 26 21 25 16 24 11 23 06 22 01 50 6 00 32 3° 31 27 30 24 29 21 28 17 27 13 26 10 25 06 24 01 22 57 21 53 6 00 lO 32 10 31 09 30 07 29 04 28 46 28 01 26 59 25 57 24 53 23 50 22 47 21 43 lO 20 31 48 3° 47 2946 27 43 26 42 25 4i 24 39 23 36 22 34 21 31 20 30 31 23 30 24 29 24 28 24 27 23 26 23 25 22 24 22 23 20 22 19 21 17 30 40 30 56 29 58 28 59 28 01 27 01 26 02 25 02 24 02 23 02 22 01 21 01 40 50 30 26 29 29 28 32 27 34 2636 25 38 24 40 23 41 22 42 21 43 20 43 50 7 00 29 54 28 58 28 03 27 06 26 09 25 12 24 14 23 17 22 20 21 22 20 24 7 OO 10 29 20 28 25 27 30 26 35 25 39 24 43 23 48 22 52 21 55 20 59 20 02 lO 20 28 44 27 5° 26 56 26 02 25 07 24 13 23 19 22 24 21 29 20 34 19 38 20 30 28 05 27 13 26 20 25 28 24 34 23 41 22 48 21 55 21 01 20 07 19 12 30 40 27 24 26 33 25 43 24 51 23 59 23 07 22 16 21 24 20 31 19 39 18 46 40 50 26 41 25 51 25 02 24 12 23 22 22 31 21 41 20 50 20 00 19 09 18 17 50 8 00 25 56 25 07 24 20 23 32 22 42 21 54 21 05 20 15 19 26 18 36 17 47 8 OO 10 25 08 24 22 23 35 22 48 22 01 21 14 20 27 19 39 18 51 18 03 17 28 17 15 lO 20 24 20 23 35 22 49 22 04 21 18 20 33 19 47 19 01 18 21 18 14 16 41 20 30 23 29 22 45 22 02 2i 17 20 33 19 49 19 06 17 36 16 52 16 07 30 40 22 35 21 53 21 11 20 29 19 46 19 °4 18 22 17 39 16 56 16 14 15 30 40 50 21 41 21 00 20 20 19 39 i»59 18 18 17 38 16 57 16 16 «5 35 14 53 50 9 00 20 44 20 05 19 27 18 48 18 09 17 30 16 52 16 12 15 33 14 53 14 14 9 OO 10 19 45 19 08 1832 17 55 17 17 16 41 16 03 15 26 14 49 14 12 13 34 10 20 18 45 18 10 17 35 17 00 16 25 15 50 15 15 14 39 14 °4 13 28 12 52 20 30 17 43 17 10 16 37 16 04 15 30 14 57 14 24 13 5i 13 17 12 43 12 10 30 40 16 39 16 09 IS 38 15 07 14 34 . 14 04 13 33 13 01 12 29 11 57 11 27 40 50 15 35 15 °6 14 37 14 07 13 38 13 08 12 40 12 10 11 41 11 11 10 42 50 lO 00 14 29 14 01 13 35 13 07 12 40 12 13 11 45 II 19 10 51 10 24 9 56 10 00 10 13 21 12 56 12 31 12 06 11 41 II 16 10 51 10 25 10 00 9 35 9 10 8 23 lO 20 12 13 11 50 11 27 11 04 10 41 10 18 n 9 32, 9 08 8 45 20 30 II 03 10 42 10 22 10 00 9 40 9 19 8 37 8 16 7 55 7 34 30 40 ? 52 8 39 9 33 9 14 85° 8 37 8 19 8 00 7 4i 7 23 ' 7 04 6 46 40 50 8 24 8 07 7 51 7 35 7 19 7 02 6 46 6 29 613 5 56 50 11 00 7 28 7 13 6 59 6 45 6 30 6 16 6 03 5 49 5 34 5 21 5 °6 11 00 10 6 14 6 02 5 5° 5 39 5 27 5 15 5 °3 4 5i 4 40 4 27 4 16 10 20 4 59 4 50 4 40 4 31 4 22 4 13 4 03 3 54 3 44 3 35 3 25 20 30 3 45 3 38 3 31 3 24 2 16 3 17 3 10 3 02 25 f 2 48 2 41 2 34 30 40 2 31 2 26 2 21 2 12 2 06 2 02 1 58 1 52 1 48 1 43 40 50 1 15 I 13 1 10 1 08 1 06 1 04 * 1 01 58 56 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 109 AZIMUTH OR TRUE BEARING. LATITCDK 26°. DECI.INATION- ■SAME NAME AS— LATITUDE. LATITUDE 26°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. b. in. o / r / / / / / / / / / / It. 111. 00 180 oo 180 00 00 00 00 00 00 00 00 00 00 00 10 130 5+ 113 22 & 27 6 l 2 l 47 3i 35 44 54 4» 28 19 23 08 19 26 16 40 14 31 12 51 IO 20 112 45 10 1 24 8854 76 18 64 42 46 40 40 08 34 54 30 40 27 12 24 21 20 30 104 47 96 46 88 21 79 52 71 40 64 01 . 57 °8 51 04 45 47 41 12 37 15 33 5° 30 * 40 100 18 94 09 87 48 81 25 75 06 69 03 63 20 58 02 53 12 48 49 44 51 41 19 40 50 97 19 92 21 87 15 82 07 77 °i 72 01 67 12 62 37 5818 54 16 50 31 47 05 50 1 00 95 08 9057 86 42 82 24 78 07 73 53 6945 71 28 65 44 61 54 58 14 54 45 51 3° 1 00 10 93 25 89 49 86 08 82 27 78 45 75 05 67 56 64 29 61 09 57 57 54 55 10 20 91 5§ 8848 85 35 82 20 79 °5 75 5i 72 38 69 28. 66 21 63 20 60 24 57 33 20 30 90 44 87 53 85 01 82 08 79 13 76 19 ■ 73 26 7° 33 67 44 64 59 62 15 59 37 SO 40 89 37 87 03 84 27 81 50 79 12 76 34 73 56, 71 20 68 45 66 12 63 4i 61 14 40 50 88 36 86 15 83 53 81 29 79 °5 76 40 74 16 7 1 52 69 29 67 07 64 47 62 29 50 2 00 87 39 8529 83 18 81 06 78 53 76 40 74 26 72 12 70 00 67 48 °5 37 63 28 2 OO 10 86 46 84 45 82 43 80 40 78 37 7° 33 74 29 72 24 70 21 68 17 66 14 64 13 10 20 85 55 84 01 82 08 80 14 78 18 76 22 74 25 72 29 70 33 6837 66 41 64 46 20 30 85 05 83 19 81 32 79 44 77 5° 76 07 74 18 72 28 70 38 68 50 67 00 65 11 30 40 84 17 82 37 80 56 79 15 7°43 77 32 75 49 74 06 72 22 7° 39 6855 67 II 65 27 40 50 83 30 81 55 80 20 77 06 75 29 73 5i 72 13 70 34 68 54 67 16 65 37 50 3 OO 82 44 81 13 79 43 78 11 76 39 75 05 73 32 71 59 70 25 68 50 67 16 fe 42 3 OO 10 81 58 80 32 79 °5 77 38 76 09 74 41 73 11 71 42 70 11 68 42 67 12 65 4J 10 20 81 13 79 50 78 27 77 48 77 °3 75 39 74 14 72 48 71 22 69 56 68 30 67 03 65 36 20 30 80 28 79 08 76 27 75 07 73 45 72 22 . 71 00 69 37 68 14 66 50 6526 30 40 79 42 78 26 77 09 75 51 74 33 73 14 71 54 70 35 69 16 67 56 66 34 65 14 40 50 78 58 77 44 76 29 75 14 73 58 72 42 71 26 70 09 68 52 67 34 66 16 64 59 SO 4 00 78 12 77 01 75 48 74 35 73 22 72 08 7° 55 69 40 68 26 67 10 65 55 64 39 4 00 10 77 26 76 16 75 06 73 56 72 45 71 34 70 21 69 09 67 57 66 44 65 31 64 18 IO 20 76 40 75 32 74 24 73 15 72 06 70 57 6947 68 37 67 27 66 16 65 °5 63 54 20 30 75 53 74 47 73.41 72 34 71 26 70 19 69 11 68 03 6655 65 45 °4 37 63 27 30 40 75 °6 74 00 72 56 71 51 70 46 69 40 68 34 67 28 66 21 65 14 64 06 6258 40 SO 74 17 73 14 72 11 71 07 70 03 69 00 67 55 66 50 65 44 64 39 63 33 62 27 50 5 OO 73 28 72 26 71 25 70 22 69 19 68 17 67 14 66 10 65 06 64 03 62 59 61 54 5 OO io 7238 7i 37 7° 37 69 36 68 35 67 34 66 31 65 29 64 27 63 24 62 21 61 18 IO 20 71 47 7048 69 48 68 49 67 49 66 48 65 47 6447 63 45 62 44 61 42 60 40 20 30 7° 55 69 57 68 58 68 00 67 00 66 01 65 01 64 02 63 02 62 02 61 01 60 00 30 40 70 02 69 04 68 07 67 09 66 12 65 14 64 15 63 16 62 17 61 17 60 19 59 19 40 SO 69 07 68 11 67 14 66 17 65 21 64 23 °3 25 62 28 61 29 60 32 59 33 58 35 SO 6 00 68 11 67 15 66 20 65 23 64 28 63 32 62 34 61 38 60 41 59 43 58 47 57 49 6 00 IO 67 13 66 19 64 26 64 29 63 33 62 37 61 41 60 46 59 49 58 54 57 57 57 01 IO 20 66 15 65 20 63 31 62 37 61 42 60 48 59 52 58 57 58 01 57 °° 56 11 20 30 65 14 64 20 63 27 62 33 61 39 60 45 • 59 50 5856 58 02 57 °8 56 13 55 18 30 40 64 12 63 17 62 25 61 32 60 38 59 45 5851 57 58 57 °4 56 11 55 17 54 23 40 50 63 07 62 15 61 22 60 29 59 36 58 44 57 51 5658 56 05 55 12 54 19 53 26 50 7 OO 62 00 61 08 60 16 59 23 "5831 57 39 56 47 55 55 55 °3 54 11 53 19 52 26 7 OO 10 60 51 59 59 59 08 58 16 57 25 56 34 55 41 54 50 53 58 53 °7 52 15 51 24 10 20 59 39 P 25 57o8 58 48 57 57 57 °7 56 15 55 24 54 33 53 43 52 52 52 01 51 i° 50 20 20 30 5 7- 3S 56 44 55 54 55 03 53 48 54 13 53 22 52 33 5i 43 5° 53 50 02 49 13 30 40 56 18 55 28 54 39 52 59 52 09 51 19 5° 3° 49 4i 4852 48 03 40 SO 55 49 54 59 54 10 53 21 52 31 51 42 50 53 50 04 49 15 48 28 47 39 4650 SO 8 00 54 25 53 36 52 47 51 59 Si 10 50 21 49 34 48 12 48 45 ' 47 57 47 10 46 22 45 35 8 00 IO 52 59 52 11 51 23 5° 35 49 46 48 59 47 24 46 37 45 51 45 °3 44 17 IO 20 51 30 50 42 49 54 48 22 49 °7 48 19 47 32 46 45 45 58 45 13 44 28 43 41 42 55 20 30 49 57 49 °9 47 35 46 49 46 03 45 1° 44 31 43 46 43 °i 42 15 4i 31 30 40 48 20 47 33 46 46 46 00 45 15 44 3° 43 44 42 59 42 15 41 31 40 47 40 03 40 50 4638 45 53 45 07 44 21 43 36 42 52 42 08 41 24 40 40 39 58 39 15 38 32 SO 9 00 44 52 44 08 43 23 42 38 41 54 41 11 40 28 39 45 39 °3 38 21 37 39 3°58 9 00 10 43 "3 42 18 4i 35 4° 51 40 09 39 27 37 3» 38 44 38 03 37 22 36 41 36 00 35 20 IO 20 41 08 40 25 39 42 39 °i 38 19 3° 57 36 17 35 37 34 57 34 18 33 39 20 30 39 °8 38 26 37 45 37 05 36 24 35 44 35 05 34 26 33 48 33 1° 32 32 31 56 30 40 37 04 36 23 35 44 35 04 34 25 33 47 33 °9 32 32 3i 55 31 19 - 30 42 30 07 40 SO 34 55 34 16 33 37 32 59 32 22 31 45 31 09 30 34 29 59 29 25 28 50 28 17 50 10 00 32 41 32 03 31 26 3° 50 3° 15 29 40 29 06 28 32 27 59 27 26 2654 26 22 IO OO 10 30 20 29 45 29 10 2 ?3« 28 02 27 30 26 58 26 25 25 55 25 34 24 53 24 24 10 20 27 56 27 22 26 50 26 18 25 47 25 16 24 46 24 16 23 47 23 19 22 51 22 23 20 30 25 25 24 55 24 25 23 55 23 27 22 58 22 30 22 03 21 36 21 10 20 44 20 19 30 40 22 51 22 22 21 55 21 28 21 01 20 36 20 10 19 46 19 21 1858 • 18 34 18 11 40 SO 20 11 19 45 19 21 1857 18 34 18 10 17 47 17 26 17 03 16 43 16 21 16 01 50 11 OO 17 27 17 05 16 43 16 22 16 01 15 42 15 21 15 03 • 14 43 14 25 14 07 13 49 11 00 IO 14 39 11 48 14 20 14 02 13 44 13 27 13 °9 12.52 12 36 12 21 12 05 II 49 11 34 10 20 11 32 11 17 II 03 10 48 10 35 10 21 10 08 9 55 9 43 9 30 9 18 20 30 8 53 8 41 8 30 8 19 8 09 7 58 748 7 38 7 28 7 18 7 °9 6 59 30 40 5 57 5 49 5 4i 5 33 5 27 5 20 5 13 5 06 4 59 4 52 4 47 4 4° 40 50 2 59 2 55 2 51 2 47 2 43 2 40 z.37 2 33 2 29 2 27 2 24 2 20 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. no AZIMUTH OR TRUE BEARING. LATITUDE 26°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 26°. Hour Anglo. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. ft. in. o / / / / 1 / / / / ' / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 II 28 10 20 9 22 8 33 7 51 7 14 6 42 6 13 5 47 5 25 5 03 4 45 lO 20 21 56 19 55 18 10 16 40 15 21 14 11 13 10 12 15 11 26 10 41 10 00 9 23 20 30 30 52 28 17 26 00 23 59 22 13 20 38 19 13 17 55 23 08 16 46 15 42 14 45 13 52 30 40 38 08 35 16 32 42 3° 23 28 18 26 25 24 42 21 42 20 24 19 12 18 04 . 40 50 43 54 40 58 38 17 35 50 33 34 31 30 29 35 27 5° 26 12 24 42 23 18 22 00 50 1 00 48 25 45 33 42 52 40 22 38 02 35 53 33 51 31 58 30 13 28 34 27 01 25 36 1 00 10 52 00 49 15 46 38 44 09 41 49 39 37 37 33 35 3« 33 46 32 02 30 24 28 52 lO 20 54 49 52 12 49 41 47 16 44 59 42 48 4° 43 38 45 36 52 35 °5 33 24 31 48 20 30 57 04 54 34 52 10 49 51 47 37 45 29 43 25 41 28 39 35 37 47 36 04 34 24 30 40 58 50 56 29 54 12 5i 58 49 50 47 45 45 44 43 48 41 56 40 08 3824 H $ 40 50 00 13 58 01 55 50 53 43 51 39 49 39 47 41 45 47 43 57 42 10 40 27 50 2 00 61 20 59 15 57 1° 55 08 53 10 51 14 49 20 47 29 45 41 43 56 42 13 4° 34 2 00 10 62 12 60 13 58 15 56 19 54 25 52 33 50 43 48 55 47 10 45 27 43 46 42 08 10 20 62 53 60 59 59 °7 57 15 55 26 53 39 51 52 50 08 ■ 48 25 46 45 45 06 43 29 20 30 63 23 61 35 59 48 58 01 56 17 54 33 52 50 51 09' 49 3° 47 51 46 15 44 4o 30 40 63 45 62 01 60 19 58 37 5°56 55 17 53 37 52 00. '. 5° 23 48 47 47 13 45 40 40 50 63 59 62 21 60 43 59 04 57 28 55 51 54 16 52 41 ; 51 °7 49 34 48 02 46 32 50 3 00 64 08 62 33 60 59 59 26 57 52 5° 19 54 46 53 14 ' 5i 43 50 13 48 43 47 14 3 00 10 64 10 62 40 61 09 59 39 58 10 56 39 55 10 53 41 , 52 13 50 44 49 17 47 51 10 20 64 09 62 42 61 15 59 47 58 21 56 54 55 27 54 01 52 35 51 09 49 44 48 20 20 30 64 03 62 39 61 15 59 5° 58 27. 57 °2 55 38 54 15 52 51 51 27 50 05 48 42 30 40 63 53 62 32 61 11 59 49 58 28 57 06 55 45 H 23 53 02 51 40 50 20 48 59 40 50 63 40 62 21 61 02 59 43 5825 57 06 55 46 54 27 53 09 51 49 50 30 49 11 50 4 OO 63 24 62 07 60 51 59 35 58 17 57 °i 55 44 54 26 53 10 51 53 50 35 49 19 4 00 10 63 04 61 50 60 36 59 22 5807 56 52 55 37 54 22 53 07 51 52 50 36 49 21 lO 20 62 42 61 31 60 18 59 05 57 53 56 40 55 27 54 14 53 01 51 47 50 34 49 20 20 30 62 18 61 07 59 57 5846 57 36 56 25 55 14 54 03 52 50 51 38 50 27 49 15 30 40 61 50 60 42 59 33 5825 57 16 56 06 54 57 53 47 52 37 51 27 50 16 49 07 40 50 61 20 60 14 59 °7 57 59 56 52 55 45 54 37 53 28 52 20 51 12 50 03 48 54 50 5 00 60 49 59 44 58 39 57 33 56 27 55 58 55 20 54 14 53 08 52 01 50 53 49 46 48 39 5 OO 10 60 15 59 " 58 07 57 02 54 54 53 48 52 43 51 38 5° 31 49 26 48 20 10 20 59 3§ 5«36 57 34 56 31 55 27 54 24 53 20 52 16 51 12 50 07 49 03 47 58 20 30 59 °o 57 59 5 5 5 Z 55 5° 54 54 53 52 52 49 51 47 50 44 49 40 48 37 47 34 30 40 58 19 57 19 56 18 55 18 54 17 53 16 52 15 51 14 5° 13 49 11 48 09 47 38 47 06 40 50 57 36 5° 37 55 39 54 39 53 40 52 4° 51 39 5° 39 49 39 48 39 4° 37 50 6 00 56 52 55 53 54 55 53 57 52 59 52 00 51 01 50 02 49 02 48 24 48 03 47 03 46 04 6 00 10 56 04 55 07 54 10 53 13 52 16 51 18 50 20 49 23 48 40 47 25 46 27 45 28 10 20 55 15 54 19 53 22 52 26 51 30 5° 33 49 37 47 42 4° 45 45 48 44 5° 20 30 54 23 53 28 52 33 51 38 50 42 49 47 48 50 47 55 46 59 46 02 45 °6 44 09 30 40 53 29 52 35 51 41 50 46 49 52 48 57 48 03 47 08 46 13 45 17 44 22 43 27 40 50 52 33 51 40 5° 46 49 53 49 00 48 05 47 12 46 19 45 24 44 30 43 36 42 41 50 7 00 51 34 50 42 49 5° 48 57 48 04 47 11 46 19 45 26 44 33 43 39 42 47 4i 53 7 OO 10 5° 33 49 41 48 49 47 58 47 06 46 14 45 23 44 31 43 39 42 47 41 54 41 02 10 20 49 29 48 38 47 48 46 57 46 06 45 16 44 25 43 34 42 43 41 51 41 00 40 09 20 30 48 23 47 33 46 43 45 53 45 04 44 14 43 24 42 34 41 44 40.54 40 04 39 14 30 40 47 14 46 25 45 37 44 4» 43 59 43 °9 42 21 41 32 4° 43 39 53 39 °5 38 16 40 50 46 02 45 14 44 26 43 38 42 5° 42 02 41 15 40 27 39 39 3851 38 04 37 16 50 8 00 44 47 44 00 43 14 42 26 41 40 40 53 40 06 39 19 38 33 37 46 3° 59 36 13 8 OO 10 43 3° 42 44 41 58 41 12 40 26 39 4° 38 55 3§ 09 37 23 36 38 35 53 35 07 lO 20 42 10 41 25 40 40 39 55 39 1° 38 25 37 4° 36 5° 36 II 35 27 34 43 33 59 20 30 40 47 40 03 39 18 38 35 37 51 37 07 36 24 35 41 34 57 34 14 33 31 32 48 30 40 39 20 38 37 37 55 37 11 36 29 35 47 35 °4 34 22 33 41 32 59 32 17 31 36 40 50 37 5° 37 °8 36 25 35 44 35 °4 34 24 33 42 33 °l 32 21 31 40 31 00 30 20 50 9 00 36 17 35 37 34 57 34 16 33 36 32 56 32 17 31 38 30 59 30 19 29 41 29 02 9 00 10 34 4i 34 02 33 22 32 44 32 06 31 27 30 49 30 12 29 33 2855 28 19 27 42 10 20 33 02 32 23 31 46 31 09 30 32 29 55 29 18 28 42 28 06 27 30 26 55 26 19 20 30 31 18 30 42 30 06 29 30 2856 28 21 27 45 27 II 26 35 26 02 25 28 24 54 30 40 29 33 28 58 28 23 26 38 2749 27 15 26 41 26 09 25 36 25 03 24 31 23 59 23 27 40 50 27 43 27 10 26 06 25 33 25 01 24 3° 23 59 23 28 22 57 22 27 21 57 50 10 00 25 5° 25 19 24 48 24 18 23 48 23 18 22 48 22 20 21 50 21 21 20 53 20 25 10 00 10 23 55 23 25 22 56 22 28 22 00 21 32 21 05 20 37 20 11 19 44 19 18 18 51 10 30 21 56 21 28 21 02 20 36 20 09 19 44 19 18 18 53 18 29 18 04 17 40 17 15 20 30 19 53 17 48 19 28 19 °4 18 40 18 17 17 53 17 29 17 06 1643 16 21 15 59 15 37 30 40 17 26 17 04 16 43 16 21 15 59 15 38 15 18 14 57 14 37 14 18 13 58 40 50 15 4i 15 22 15 ° 2 14 42 '. 14 23 14 "4 13 46 13 28 13 10 12 52 12 34 12 16 50 11 00 13 31 13 14 12 57 12 40 12 24 12 07 11 51 II 36 11 20 II 04 10 49 10 34 11 OO 10 11 20 11 05 10 51 10 36 10 22 10 09 9 56 9 42 9 29 9 16 9 03 851 lO 20 9 °5 8 54 8 43 831 8 20 8 09 7 59 7 47 7 37 7 26 7 15 7 06 20 30 6 50 6 42 6.33 6 25 6 16 6 08 5 59 5 52 5 43 5 35 5 28 5 20 30 40 4 35 4 28 4 22 4 17 4 11 4 06 4 00 ?! 3 49 3 44 3 39 3 34 40 50 2 17 2 15 2 12 2 09 2 06 2 03 2 00 1 55 1 52 1 50 1 47 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. ill AZIMUTH OR TRUE BEARING. LATITUDE 26°. DECLINATION— SAME NAME AS— LATITUDE LATITUDE 26°. Hour Angle. 48° 4»° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. 10 12 in. 00 lO 20 SO 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 00 lO 20 30 40 50 00 00 00 4 =7 4 11 84° 8 18 13 02 12 17 17 03 16 05 20 46 19 39 24. 14 2? 59 27 23 26 01 30 15 28 48 32 50 31 19 35 °° 33 34 37 °9 35 35 38 57 37 23 4° 31 3858 41 54 40 22 43 °7 41 35 44 °8 42 39 45 01 43 33 45 4° 44 19 46 24 44 59 46 54 45 32 47 19 45 58 47 39 46 19 47 52 46 34 48 01 46 45 48 06 4° 51 48 06 4° 53 48 02 46 51 47 55 46 36 47 45 47 3° 46 23 47 13 46 07 46 52 45 48 46 30 45 26 46 03 45 °i 45 34 44 33 45 °3 44 28 43 52 43 12 42 3° 41 46 4° 59 40 10 39 r 7 38 23 37 27 3° 27 35 25 34 21 33 15 32 06 3° 54 29 42, 28 23 27, 04 25 44 24 20 22 55 21 26 19 56 18 24 16 51 13 3» 11 59 10 19 837 655 5 *2 3 28 1 44 o 00 44 °3 43 29 42 54 42 15 41 35 4°-52 40 06 3 i ! ! 38 26 37 33 3638 35 4° 34 39 33 3° 32 31 31 23 3° !3 29 01 27 45 26 28 2508 23 4° 22 23 20 57 19 29 17 59 16 28 14 53 13 19 11 42 10 04 8 25 6 45 5 °4 3 23 1 42 00 o 00 3 57 7 5° II 35 15 12 18 35 21 47 24 43 27 25 29 53 32 05 34 °5 35 53 37 27 3851 40 04 41 10 42 05 42 53 43 34 44 °9 44 3° 44 59 45 1° 45 28 45 3° 45 39 45 39 45 34 45 26 45 14 45 °° 44 43 44 21 43 57 43 31 43 °2 42 29 41 55 41 18 4° 39 39 57 39 12 38 24 37 35 3° 43 35 48 34 51 33 52 32 51 31 47 30 40 20 31 28 21 27 07 25 51 24 34 23 14 21 52 20 27 19 01 17 33 16 03 14 32 12 59 II 25 9 5° 8 13 6 36 4 58 3 18 I 39 o 00 00 3 43 7 22 10 56 14 21 17 3° 20 39 23 30 26 06 28 30 30 40 32 38 34 24 35 58 37 22 38 37 39 42 40 40 41 28 42 11 42 47 43 16 43 39 43 58 44 12 44 21 44 26 44 27 44 24 44 17 44 °7 43 53 43 3° 43 17 42 54 42 29 42 01 41 3° 4° 57 40 21 39 42 39 01 38 18 37 31 3° 43 35 53 34 59 34 °3 33 °° 32 05 31 °2 29 57 28 50 27 41 26 29 25 14 23 58 22 40 21 20 19 57 18 34 17 08 15 40 14 11 12 40 11 08 9 35 8 01 6 26 4 5° 3 13 1 37 o 00 o 00 3 31 658 10 20 13 35 16 40 19 35 22 19 24 5i 27 11 29 18 31 13 32 59 34 32 35 56 38 16 39 14 40 04 40 48 41 24 4i 55 42 20 42 40 42 55 43 °6 43 12 43 14 43 12 43 °7 42 58 42 4° 42 31 42 12 41 51 41 26 40 59 40 30 39 58 39 23 3846 38 05 37 24 3638 35 5i 35 01 34 °9 33 15 32 18 31 20 30 18 29 15 28 09 27 00 25 5° 24 37 23 23 22 06 20 48 19 2# 18 06 16 42 15 17 13 49 12 21 10 51 9 20 7 48 6 16 4 43 3 °9 I 34 o 00 o 00 3 19 6 35 9 4° 12 51 15 48 18 36 21 13 23 39 25 55 27 59 29 52 31 35 33 °8 34 32 35 46 36 52 37 51 3841 39 25 40 04 4° 35 41 02 41 23 4i 39 4i 5i 41 58 42 01 42 01 41 58 41 5° 41 39 41 24 41 °7 40 47 4° 25 39 58 39 3° 38 59 38 25 37 49 37 1° 36 29 35 45 34 59 34 1° 33 19 32 27 31 32 3° 34 29 34 28 32 27 27 26 21 25 II 24 01 22 49 21 34 20 17 18 59 17 39 16 16 14 53 13 28 12 02 10 34 9 06 7 36 6 06 4 35 3 °4 1 32 o 00 o 00 3 °7 6 13 9 14 12 10 14 59 17 39 20 10 22 31 24 43 26 43 28 34 3° 15 31 46 33 °9 34 23 35 29 36 28 37 20 3805 38 44 39 1° 39 44 40 06 40 23 4° 37 4° 45 40 49 40 50 40 41 4° 31 40 18 40 03 39 43 39 22 3856 38 3° 38 00 37 27 36 52 36 15 35 35 34 52 34 °7 33 20 32 3° 31 38 30 44 29 48 28 50 27 49 26 45 25 4i 24 34 23 25 22 14 21 01 19 46 18 29 17 11 15 51 14 3° 13 °7 11 43 10 18 851 7 24 55 S 4 28 2 59 o 00 2 57 5 52 8 44 11 31 14 12 16 44 19 09 21 25 23 32 25 29 27 18 2857 30 27 31 48 33 °2 34 °9 35 °7 35 59 36 46 37 24 37 58 38 26 38 5° 39 °8 39 22 39 32 39 37 39 39 39 38 39 32 39 24 39 12 38 57 38 39 38 19 37 55 37 29 37 °° 3628 35 55 35 19 34 39 33 59 33 15 32 28 31 4° 3° 5° 29 57 29 03 28 05 27 06 26 04 25 °i 23 56 22 48 21 39 20 27 19 15 18 00 16 44 15 26 14 06 12 46 11 25 10 01 8 37 7 12 5 47 4 21 2 54 1 27 o 00 00 2 47 8 16 1° 55 13 28 15 53 18 12 20 23 22 25 24 19 26 05 27 4i 29 10 30 31 31 44 32 49 33 48 34 4° 35 26 3° °5 36 40 37 1° 37 34 37 52 38 08 38 18 3825 38 28 38 28 38 23 38 16 3805 37 52 37 35 37 15 3° 53 36 28 36 00 35 31 34 58 34 23 33 44 33 °4 32 22 31 38 3° 51 30 02 29 10 28 17 27 21 26 23 25 23 24 21 23 18 22 12 21 04 19 55 18 44 17 32 16 17 15 °i 13 44 12 25 11 05 9 45 8 23 7 01 5 37 4 14 2 5° 1 24 o 00 00 2 38 5 1° 7 5° 10 20 12 46 15 °5 17 17 19 23 21 22 23 12 24 54 26 28 27 55 29 14 30 26 31 31 32 30 33 22 34 °8 34 48 35 23 35 53 3° 18 3638 3° 54 37 05 37 13 37 17 37 18 37 15 3708 36 46 3° 31 36 12 35 51 35 27 35 °i 34 32 34 00 33 26 32 49 32 10 31 29 30 46 30 01 29 13 28 23 27 30 26 37 25 4° 24 41 23 42 22 40 21 35 20 30 19 22 18 13 17 02 15 49 14 3° 13 21 12 04 10 47 9 28 8 09 649 5 28 4 °7 2 '44 1 22 o 00 o 00 . 2 30 4 59 7 24 9 48 12 05 14 19 16 25 18 26 20 20 22 06 23 45 25 17 26 42 27 59 29 10 3° 15 31 13 32 05 32 51 33 31 34 °° 34 37 35 °3 35 23 35 4° 35 53 36 01 36 06 36 08 36 05 36 00 35 52 35 4i 35 26 35 °8 34 48 34 25 34 °I 33 32 33 ° 2 32 29 31 54 31 16 3° 37 29 55 29 10 28 24 27 35 26 45 25 51 24 57 24 00 23 02 22 01 20 59 19 55 18 49 17 42 16 33 15 22 14 11 12 58 II 44 10 29 9 12 7 55 636 5 19 3 59 2 39 00 2 22 4 42 7 01 9 16 11 27 13 34 15 3° 17 31 19 20 21 02 22 38 24 °7 25 3° 26 46 27 56 29 00 29 57 3° 49 31 34 32 15 32 50 33 21 33 48 34 °9 34 27 34 39 34 49 34 55 34 58 34 57 34 52 34 44 34 34 34 21 34 °5 33 4° 33 24 32 59 32 33 32 03 31 32 3°58 30 22 29 43 29 03 28 20 27 35 26 47 2558 25 °7 24 15 23 19 22 22 21 23 20 22 19 20 18 16 17 11 16 04 14 55 13 4° 12 35 11 23 10 10 8 55 7 41 625 5 °9 3 52 2 35 1 17 00 ll. O 10 12 in. OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the .supplement of the tabulated azimuth is to be taken for the required true bearing. 112 AZIMUTH OR TRUE BEARING. LATITUDE 26°. DECLINATION— SAME NAME AS -LATITUDE. LATITUDE 26°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. Ji. m. o / / / / / / c / / / / / h. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 10 2 16' 2 07 1 59 1 53 1 47 1 41 1 34 1 29 1 24 1 19 1 14 10 20 4 27 4 13 3 58 3 45 3 33 5 18 3 21 3 °9 258 2 48 2 37 2 28 20 30 638 617 5 57 5 37 5 00 4 43 4 26 4 11 3 55 3 41 30 40 847 8 18 7 52 7 26 7 01 638 6 15 5 54 5 32 5 12 4 52 40 50 10 51 10 17 9 44 9 12 8 42 8 13 745 718 6 52 6 27 6 03 50 1 00 12 52 12 11 11 32 10 56 10 20 9 46 9 13 8 41 8 11 7 41 7 13 •1 00 10 14 47 14 02 13 18 12 36 " 55 11 16 10 39 10 02 9 28 8 53 8 20 IO 20 16 38 15 48 14 59 14 12 13 26 12 43 12 01 11 20 10 41 10 03 9 26 20 30 18 23 17 28 16 35 15 43 14 54 16 18 14 06 13 20 12 35 11 53 11 11 10 30 30 40 20 02 19 03 18 06 17 II 15 27 14 37 13 48 13 02 12 16 11 31 40 50 21 34 20 32 19 32 1833 17 37 16 43 15 49 14 57 14 07 ' 13 19 12 30 SO 2 00 23 01 21 56 20 53 19 52, 18 52 17 54 16 57 16 04 15 10 14 18 13 28 2 OO 10 24 21 23 14 22 09 21 05 20 02 19 02 18 02 17 05 • 16 09 15 15 14 21 IO 20 25 36 24 27 23 19 22 12 21 08 20 05 19 04 18 04 17 06 16 08 15 12 20 30 26 43 25 33 24 23 23 16 22 09 21 05 20 01 18 59 17 59 16 59 16 01 30 40 27 46 26 34 25 24 24 14 23 06 22 00 21 54 19 5° 18 48 17 47 16 46 40 50 2843 27 29 26 18 25 07 23 58 22 50 21 43 20 38 19 34 18 31 17 28 50 3 00 29 34 28 20 27 07 25 5° 24 46 23 37 22 28 21 22 20 17 19 12 18 08 3 00 10 30 20 29 08 27 53 26 40 33 24 19 23 10 22 03 20 56 19 50 18 44 IO 20 31 00 29 46 28 32 27 20 24 5» 23 48 22 40 21 31 20 24 19 17 20 30 31 35 30 21 29 08 27 55 ■26 43 25 32 24 22 23 13 22 04 20 55 19 48 30 40 32 07 •30 52 29 39 28 26 27 15 26 03 24 52 23 42 22 33 21 24 20 16 40 50 32 33 31 20 30 07 2854 27 41 26 30 25.19 24 09 22 59 21 49 20 41 50 4 00 32 55 31 42 30 29 29 17 28 05 26 53 25 41 24 32 23 22 22 12 21 03 4 OO 10 33 14 32 01 30 49 29 36 28 24 27 13 26 02 24 52 23 42 22 31 21 22 IO 20 33 28 32 15 31 03 29 51 28 41 27 29 26 18 25 °7 23 58, 22 48 21 38 20 30 33 38 32 26 31 15 30 04 2853 27 42 26 31 25 21 24 11 23 02 21 52 30 40 33 45 32 34 31 23 30 12 29 02 27 52 26 41 25 32 24 23 23 13 22 03 40 50 33 4» 3238 31 28 30 18 29 09 27 59 26 49 25 40 2430 23 21 22 12 50 5 00 33 48 32 39 31 30 30 20 29 11 28 03 26 53 25 44 24 36 23 26 22 17 5 00 io 33 44 33 38 32 36 31 28 30 19 29 12 28 03 26 54 25 4° 24 38 23 30 22 21 10 20 32 31 31 23 30 1° 29 09 28 00 26 53 25 45 24 38 23 30 22 22 20 30 33 29 32 22 31 15 30 09 29 02 27 56 26 48 25 42 24 35 23 28 22 21 30 40 33 16 32 11 31 05 29 59 28 55 27 49 27 38 26 42 25 36 24 30 23 24 22 17 40 50 33 01 31 57 30 52 29 47 28 43 26 33 25 28 24 22 23, 16 22 11 50 6 00 32 43 . 31 4" 3° 36 29 33 28 30 27 25 26 21 25 17 24 13 23 08 22 02 6 OO IO 32 23 31 21 30 18 29 16 2856 ■ 28 13 27 10 26 07 25 03 24 00 22 56 21 53 10 20 32 00 30 59 29 5« 27 54 26 52 25 5° 24 48 23 46 22 43 21 40 20 30 31 34 30 34 29 34 28 34 27 34 26 33 25 i-i 24 30 23 28 22 27 21 26 30 40 31 05 30 07 29 08 28 09 27 10 26 10 25 10 24 11 23 11 22 10 21 09 40 50 30 36 29 38 28 41 27 43 26 44 25 46 24 47 23 48 22 50 21 50 20 50 50 7 OO 30 03 29 06 28 33 28 10 27 13 26 17 25 20 24 22 23 24 22 27 21 29 20 30 7 00 10 29 27 27 37 26 42 25 47 24 51 23 55 22 59 22 02 21 06 20 08 10 20 28 50 27 57 27 03 26 09 25 15 24 21 23 26 22 31 21 36 20 40 19 44 20 30 28 11 27 19 26 26 25 34 24 41 2348 22 54 22 00 21 07 20 13 19 18 30 40 27 29 26 39 2548 24 56 24 "5 23 13 22 21 21 29 20 37 19 44 18 51 40 50 20 46 25 56 25 06 24 16 23 27 22 37 21 46 20 56 20 05 19 14 18 22 50. 8 00 25 59 25 12 24 23 23 3° 22 47 21 59 21 09 20 20 19 32 18 42 17 51 8 00 10 25 12 24 25 23 39 22 52 22 05 21 18 20 31 19 43 1856 18 07 17 19 IO 20 24 23 23 37 22 53 22 08 21 22 20 37 19 50 19 °5 18 19 17 32 16 45 20 30 23 31 22 48 22 04 21 20 20 37 19 53 19 08 18 25 18 24 17 40 16 55 16 10 30 40 22 37 21 56 21 13 20 32 19 5° 19 08 17 42 17 00 16 17 15 34 40 50 21 41 21 02 20 22 19 41 19 01 18 21 17 39 16 59 16 19 15 37 14 5° 50 9 00 20 45 20 07 19 28 18 49 18 11 17 33 i6 53 16 14 15 35 14 56 14 17 9 OO 10 19 46 19 10 18 33 17 56 17 19 16 43 16 06 15 29 14 5i 14 13 13 36 10 20 18 45 18 11 17 36 17 01 16 26 IS 51 15 16 14 4i 14 05 13 3° 12 55 20 30 17 43 17 10 ■1638 16 05 15 32 14 59 14 26 13 52 13 19 12 46 12 11 30 40 16 40 16 09 15 38 15 07 1436 14 05 13 34 13 °2 12 32 12 00 11 27 40 50 15 35 15 05 14 37 14 07 13 39 13 10 12 41 12 12 ii 43 11 13 10 43 50 IO OO 14 29 14 02 13 35 13 08 12 41 12 14 11 16 11 46 II I9 10 52 10 25 9 57 10 00 10 13 21 12 57 12 3 1 12 06 11 41 i°,5i 10 26 10 01 9 36 9 11 10 20 12 12 11 5° 11 27 II 04 10 41 10 18 9 55 9 33 9 09 847 823 20 30 11 02 10 42 10 21 10 01 9 40 9 19 §58 8 37 8 17 7 5° 7 35 30 40 9 51 9 33 9 14 8 56 838 8 19 8 00 7 42 7 23 7 °5 6 46 40 50 8 40 8 23 8 07 7 51 7 35 7 18 7 02. 6 45 6 30 6 14 5 56 SO 11 OO 7 26 7 13 6 59 645 6 31 6 17 6 02 5 49 5 35 5 21 5 °7 11 OO 10 6 14 6 02 5 5° 5 39 5 27 5 15 5 03 4 52 4 4° 4 28 4 16 10 20 5 00 4 5° 4 4i 4 31 4 22 4 13 4 °3 3 54 3 44 3 35 3 26 20 30 3 45 3 38 3 31 lit 3 17 3 10 3 03 2 55 2 49 2 42 2 35 30 40 2 30 2 26 2 21 2 11 2 07 2 02 1 5» 1 52 1 48 1 43 40 50 1 15 I 13 1 11 1 08 1 °5 1 03 1 01 59 57 "54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 113 AZIMUTH OR TRUE BEARING. JLATITUIH2 27°. DECI.INATION- SAME NAME AS— LATITUDE. LiATITUDE 27°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° s Hour Angle. b. ill. o / / / / / / ' / / / / / li. 111. 00 180 OO 180 00 180 00 00 00 00 00 00 00 00 00 00 10 142 30 131 07 "3 31 85 26 65 09 47 15 64 28 35 38 28 04 22 55 19 13 16 29 14 22 10 20 122 31 112 53 101 28 88 52 .76 09 54 30 46 22 39 50 34 36 30 22 26 56 20 30 112 15 104 51 96 48 88 18 79 44 71 27 63 46 68 49 56 51 5° 45 45 26 40 51 3655 SO 40 106 II 100 18 94 07 87 44 81 16 74 55 63 °3 57 44 52 51 48 27 44 3° 40 SO 102 08 97 18 92 17 87 09 81 58 76 49 7i 47 6656 62 20 57 59 53 55 50 09 50 1 00 99 10 95 °5 90 52 86 35 82 15 77 5° 73 39 69 29 65 26 61 34 57 52 54 24 1 00 10 96 52 93 19 89 41 86 00 82 17 78 33 74 51 71 12 6738 64 10 66 02 60 48 57 35 IO 20 95 00 91 52 88 40 85 25 82 09 7852 75 36 72 22 69 10 6259 60 02 20 30 93 24 90 36 87 44 84 5° 81 55 78 59 76 04 73 °9 70 16 67 25 64 37 61 53 30 40 92 00 89 27 8825 8652 84 15 81 37 78 57 76 19 73 4° 71 02 68 25 65 51 63 19 40 50 90 45 86 03 83 40 81 15 78 5° 76 24 73 58 71 32 69 08 66 45 64 24 50 2 00 8936 87 27 85 16 83 °4 80 51 78 37 76 22 74 °8 71 53 6938 67 25 65 13 2 00 10 88 32 86 32 84 30 82 28 80 24 78 19 76 15 74 °9 72 05 72 08 69 59 67 54 .65 5i 10 20 87 3i 85 39 83 46 81 51 79 56 78 00 76 03 74 05 70 11 68 13 66 17 20 30 86 34 84 48 83 02 81 14 79 26 77 37 75 47 73 57 72 06 70 15 68 25 6635 30 40 85 38 83 59 82 19 80 37 78 55 77 11 75 28 73 44 72 00 70 14 68 30 6645 40 50 84 46 83 11 81 35 79 59 78 22 76 44 75 °6 73 27 71 48 70 09 68 29 66 50 SO 3 OO 83 53 82 23 80 53 79 21 77 48 76 16 74 42 73 08 71 34 69 59 68 24 66 49 3 00 10 83 02 81 37 80 10 7842 77 H 75 46 74 16 72 46 71 16 69 45 68 14 66 43 10 20 82 13 80 50 79 27 78 03 7638 75 13 73 48 72 22 70 55 69 28 68 02 66 34 20 30 Si 23 80 03 78 43 77 23 76 01 74 40 73 18 71 55 70 32 <3 °? 67 44 66 21 30 40 80 33 79 17 77 59 76 42 75 24 74 06 72 47 7i 27 70 07 68 46 67 25 66 04 40 50 79 44 78 3° 77 16 76 01 74 45 73 29 72 13 70 56 69 39 68 21 67 03 65 45 50 4 00 78 55 77 43 76 31 75 19 74 05 72 52 7i 39 70 24 69 09 67 54 6638 65 23 4 00 io 78 05 76 56 75 46 74 36 73 25 72 14 71 02 69 50 68 38 67 25 66 11 6458 IO 20 77 16 76 09 75 01 73 52 72 43 71 34 70 24 69 14 68 04 6653 65 42 64 31 20 30 76 26 75 20 74 14 73 °8 72 00 7° 53 69 46 6837 67 29 66 20 65 11 64 01 30 40 75 35 74 31 73 27 72 22 71 17 70 11 69 05 67 58 66 52 65 45 64 37 63 30 40 50 74 45 73 41 72 39 71 36 70 32 69 27 68 23 67 18 66 13 65 07 64 02 62 56 50 5 00 73 53 72 5 1 7i 5° 70 48 69 45 68 42 67 40 6636 65 33 64 29 63 24 62 20 5 00 IO 73 00 72 00 71 00 69 59 68 58 67 56 66 54 65 52 64 51 6348 62 45 61 42 10 20 72 07 71 08 70 09 69 09 68 09 67 09 66 08 65 08 64 07 63 06 62 04 61 03 20 30 7i 13 70 14 69 16 68 18 67 18 66 20 65 20 64 21 63 22 62 21 61 21 60 20 30 40 70 17 69 20 68 23 67 25 66 27 65 29 64 3° 63 32 62 34 61 35 60 36 59 37 40 50 69 20 68 24 67 27 6631 65 34 64 37 63 40 62 42 61 45 6047 59 49 5850 50 6 00 68 22 67 27 66 31 65 35 . 64 39 63 43 62 47 61 50 60 54 59 57 59 °° 5803 6 00 10 67 22 66 27 65 32 64 38 63 43 62 47 6l 52 60 56 60 00 59 °4 58 08 57 12 10 30 66 21 65 27 64 33 63 39 62 45 61 50 60 55 60 00 59 °6 ■58 11 57 15 56 20 20 30 65 20 64 25 63 31 62 38 61 44 60 50 59 57 59 °3 58 09 57 15 56 21 55 26 30 40 64 14 63 21 62 28 61 35 60 42 59 49 58 56 58 °3 57 10 56 16 55 23 54 3° 40 50 63 07 62 15 61 23 60 30 59 38 58 45 57 53 57 °i 56 09 55 16 54 24 53 31 50 7 00 61 59 61 07 60 15 59 24 58 32 57 4° 5648 55 57 55 05 54 13 53 21 52 30 7 00 10 60 47 59 56 59 o 6 58 14 57 23 56 32 55 4i 54 49 53 59 53 °8 52 17 51 26 10 20 59 34 58 44 57 53 57 °3 56 12 55 21 54 31 53 41 52 51 52 01 51 11 50 20 20 30 58 19 57 29 56 38 55 49 54 58 54 oS 53 20 52 29 51 4° 50 5° 50 02 49 11 30 40 57 01 56 11 55 21 54 32 53 42 52 53 52 05 51 16 50 27 49 38 48 49 48 01 40 SO 55 38 54 5° 54 01 53 12 52 23 51 35 5° 47 49 59 49 10 48 22 47 34 46 47 50 8 00 54 14 53 26 52 37 51 49 51 01 5° 14 49 26 4838 47 52 47 04 46 16 45 31 8 OO IO 52 47 51 59 51 11 50 24 49 36 48 49 48 03 47 16 46 29 45 43 44 56 44 11 10 20 51 16 50 29 49 41 48 55 48 08 47 22 46 36 45 5° 45 04 44 19 43 33 42 48 20 30 49 4i 48 55 48 09 47 22 46 36 45 5° 45 °6 44 20 43 36 42 52 42 °7 41 23 30 40 48 04 47 17 46 32 45 46 45 01 44 16 43 32 42 48 42 05 41 21 4° 37 39 55 40 50 46 21 45 35 44 51 44 07 43 22 42 38 41 55 41 12 40 30 39 48 39 °5 38 23 50 9 OO 44 34 43 5° 43 06 42 23 41 40 40 57 4° 15 39 32 3852 38 10 37 29 3648 9 OO IO 42 44 42 00 41 17 40 35 39 53 39 12 38 30 37 5° 37 1° 36 29 35 49 35 1° IO 20 40 48 40 06 39 25 38 44 38 03 37 22 36 43 36 03 35 24 34 45 34 07 33 29 20 30 38 49 3808 37 27 36 47 36 08 35 29 34 5° 34 12 33 36 32 58 32 21 31 45 30 40 36 44 36 04 35 26 34 47 34 09 33 31 32 55 32 18 31 43 31 07 3° 31 29 57 40 SO 34 35 33 56 33 19 32 42 32 06 31 3° 30 55 30 20 2946 29 11 28 38 28 05 50 10 OO 32 21 31 44 31 °8 3° 33 29 59 29 25 28 52 28 18 27 46 27 13 26 42 26 11 IO OO 10 30 00 29 26 28 53 28 20 27 47 27 14 26 43 26 12 25 42 25 12 24 42 24 12 IO 20 27 37 27 05 26 32 26 02 25 32 25 02 24 32 24 04 23 35 23 07 22 39 22 12 20 30 25 08 24 37 24 09 23 4° 23 11 22 44 22 18 21 51 21 25 20 59 20 34 20 08 30 40 22 34 22 06 21 40 21 14 20 48 20 23 1958 19 34 19 II 1847 18 24 18 02 40 50 19 55 19 3i 19 07 18 44 18 21 17 59 17 36 17 15 16 55 16 33 16 13 15 53 50 11 00 17 13 16 52 16 30 16 10 15 5i 15 31 15 II 14 53 14 34 14 17 13 59 13 4i 11 00 10 14 27 14 08 13 52 13 34 13 17 13 01 12 44 12 28 12 13 « 57 11 42 11 28 10 20 11 38 11 23 II 09 10 55 10 41 10 27 10 14 10 01 9 49 9 37 9 25 9 13 20 30 8 46 8 34 823 8 13 8 03 7 53 7 42 7 33 7 24 7 13 7 05 656 30 40 5 51 5 44 5 37 5 3° 5 22 5 *t 5 1° 5 °3 4 56 4 5" 4 43 4 38 40 50 2 56 2 53 2 49 2 45 2 41 2 38 2 35 2 32 2 28 2 25 2 22 2 19 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. , , 5682 — 02 8 114 AZIMUTH OR TRUE BEARING. LATITUDE 27°. DECLINATION- SAME NAME AS— LATITUDE; LATITUDE 27°. Hour Angle. 36° 37° SB 39° 40° 41° 42° 43» 44° 45° 46° 47° Hour Angle. b. m. O f / / / r / / / / / / / h. m. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 io 12 42 11 19 10 11 9 15 8 26 745 7 08 6 36 6 07 5 4i 5 19 4 58 10 20 24 05 21 41 19 40 17 56 16 27 15 °9 13 59 1258- 12 03 11 15 10 30 9 49 20 30 33 30 30 32 27 56 25 4i 23 43 21 55 20 20 1856 17 39 16 30 15 26 14 28 30 40 40 56 37 45 34 53 32 19 30 01 27 57 26 03 24 21 22 48 21 22 20 04 24 18 18 51 40 50 46 41 43 29 4° 33 37 53 35 25 33 09 31 05 29 10 27 25 2548 22 54 50 1 00 51 06 48 01 45 08 42 27 39 56 37 37 35 26 33 24 31 32 29 46 28 08 26 35 1 OO 10 54 31 51 35 48 48 46 11 43 42 41 22 39 1° 37 °4 35 07 33 18 31 34 29 55 IO 20 57 10 54 24 51 46 49 14 46 48 44 31 42 19 40 14 38 15 36 23 34' 35 32 53 20 30 59 14 56 39 54 08 51 43 49 23 47 08 44 59 42 56 40 57 39 °4 37 16 35 31 30 40 60 50 58 24 56 03 53 45 51 3° 49 20 47 15 45 13 43 16 41 24 39 35 37 50 40 50 62 06 59 48 57 34 55 23 53 14 . 51 09 49 08 47 09 45 14 43 24 41 36 39 5* 50 2 00 6303 60 54 61 46 58 47 56 43 54 40 52 40 50 43 48 49 46 56 45 08 43 22 4138 2 OO 10 6348 59 46 57 47 55 4? 53 54 52 02 50 11 48 22 46 37 44 52 43 10 10 20 64 21 62 26 60 32 5838 56 46 54 5° 53 07 51 20 49 35 47 5i 46 10 44 30 20 30 64 45 62 55 61 06 59 18 57 31 55 45 54 01 52 18 50 36 48 55 47 16 45 38 30 40 65 01 63 16 61 33 59 5° 58 07 56 26 54 44 53 °5 51 26 49 49 48 12 46 37 40 SO 65 10 63 31 61 51 60 13 58 34 56 57 55 19 53 43 52 06 50 32 4858 47 25 50 3 00 §5 14 63 39 62 03 60 28 58 54 57 20 55 46 54 13 52 40 5108 49 36 48 06 3 00 10 65 12 63 40 62 09 60 38 59 07 57 37 56 06 5* 35 53 °6 51 36 5007 48 39 IO 20 65 06 63 38 62 10 60 42 59 15 57 47 5f 19 54 52 53 25 51 58 50 31 49 06 20 30 64 56 63 32 62 07 •60 42 59 17 57 52 50 28 55 03 53 38 52 15 50 5° 49 26 30 40 6443 63 21 61 59 60 37 59 15 57 53 56 31 55 °9 53 47 52 25 51 03 49 41 40 50 64 26 63 07 61 48 60 29 59 09 57 49 56 30 55 10 53 5° 52 3° 51 10 49 5i 50 4 OO 64 07 62 50 61 34 60 16 5|59 57 42 5° 25 55 °7 53 49 52 31 51 13 49 56 4 OO 10 63 44 62 29 61 16 60 01 58 45 57 30 56 15 55 °° 53 44 52 29 51 13 49 56 10 20 63 19 62 07 60 54 59 42 58 29 57 15 56 02 54 49 53 35 52 21 51 07 49 53 20 30 62 52 61 41 60 31 59 20 58 09 5658 55 47 54 35 53 23 52 II 5°58 49 45 30 40 62 22 61 13 60 05 5» 55 58 28 57 47 5° 37 55 27 54 18 53 07 51 57 5° 45 49 35 40 50 61 50 60 43 59 3° 57 21 56 13 55 °6 53 57 52 48 51 40 50 3° 49 21 50 5 00 61 16 60 10 59 04 57 58 5653 55 46 54 4° 53 33 52 26 51 18 50 11 49 °4 5 OO 10 6039 ' 59 35 58 3i .57 26 56 22 55 17 54 12 53 °7 52 ol 5° 55 49 49 48 42 IO 20 60 01 58 58 57 55 5652 55 5° 54 4° 53 43 52 38 51 33 50 29 4I50 48 19 20 30 59 20 58 18 57 17 56 16 55 13 54 11 53 °9 52 06 51 °3 50 00 47 53 30 40 58 37 57 37 56 37 55 36 54 35 53 35 52 34 5i 56 51 33 50 31 49 29 48 26 47 24 40 50 57 53 56 53 55 55 54 55 53 56 52 56 50 56 49 5° 48 55 47 54 46 53 SO 6 00 57 05 56 07 55 °9 54 12 53 13 52 14 51 I 6 50 16 49 18 48 18 47 18 46 18 6 00 10 56 16 55 19 54 22 53 25 52 28 51 3° 5° 33 49 35 48 36 47 39 46 40 45 4i IO 20 55 25 54 29 53 33 52 37 51 41 50 45 49 49 4 s 5 ; 47 54 4° 57 46 00 45 °2 20 30 54 31 53 37 52 41 51 47 50 52 49 56 49 °i 48 06 47 09 46 13 45 26 45 17 44 20 30 40 53 36 52 42 51 48 5° 54 5° 00 49 °5 48 11 47 16 46 21 44 32 43 36 40 50 52 38 51 45 5° 52 49 59 49 06 48 12 47 19 46 25 45 32 44 38 43 44 42 49 50 r 00 51 38 5° 45 49 54 49 01 48 09 47 17 46 24 45 31 44 38 43 46 42 53 42 00 7 OO 10 50 34 49 43 4853 48 02 47 10 46 19 45 28 44 36 43 44 42 52 41 59 41 07 10 20 49 30 48 39 47 49 4° 59 46 08 45 18 44 27 43 37 42 46 41 55 41 05 40 14 20 30 48 22 47 32 46 43 45 54 45 05 44 15 43 26 42 36 41 46 40 57 40 07 39 17 SO 40 47 12 46 23 45 36 44 47 43 58 43 1° 42 21 41 33 40 44 39 55 39 07 38 19 40 50 45 59 45 12 44 24 43 36 42 49 42 02 41 15 40 27 39 4° 38 52 38 05 37 17 SO 8 00 44 44 43 56 43 10 42 24 41 37 4° 51 40 05 39 18 38 32 37 4° 3° 59 36 13 8 00 10 43 26 42 39 4i 54 41 08 40 23 39 37 38 53 38 07 37 22 36 37 35 52 35 07 10 20 42 04 41 19 4° 35 39 50 39 05 38 21 37 38 36 54 36 09 35 26 34 42 33 58 20 30 40 40 39 56 39 13 38 29 37 46 37 °3 36 20 35 38 34 55 34 12 33 29 32 47 30 40 39 13 38 29 37 48 37 05 36 24 35 42 35 00 34 18 33 37 32 56 32 15 31 34 40 50 37 42 37 °i 36 19 35 39 34 58 34 18 33 38 32 57 32 17 31 37 30 57 30 17 50 9 00 36 08 35 28 34 48 34 09 33 29 32 50 32 12 31 32 30 54 3° 15 29 37 28 59 9 OO 10 34 32 33 53 33 14 32 37 3i 59 31 21 30 44 30 06 29 29 28 52 28 15 27 38 10 20 32 52 32 14 31 38 31 01 30 24 29 48 29 12 28 37 28 01 27 25 26 50 26 15 20 30 31 09 30 33 29 57 29 23 28 48 28 13 27 38 27 05 26 30 25 57 25 23 24 50 30 40 29 22 28 48 28 14 26 28 27 41 27 08 26 35 26 02 25 30 24 57 24 26 23 54 23 22 40 50 27 33 27 00 25 57 25 25 24 54 24 23 23 53 23 22 22 52 22 22 21 52 SO 10 00 25 40 25 09 24 39 24 09 23 4° 23 II 22 42 22 14 21 45 21 17 20 48 20 21 10 00 10 23 45 23 16 22 47 22 20 21 53 21 26 2058 20 31 20 04 19 38 19 12 18 46 10 20 21 46 21 20 2053 20 28 20 02 19 37 19 12 18 48 18 23 17 59 17 35 17 11 20 30 19 44 19 20 185° 1833 18 09 17 47 17 24 17 01 16 39 16 17 15 55 15 33 30 40 17 40 17 18 16 56 1° 35 16 15 15 54 15 33 15 13 14 53 14 33 14 14 13 54 40 50 15 33 15 14 14 55 1436 14 17 13 59 13 41 13 23 13 05 12 4 § 12 30 12 13 50 11 00 13 24 13 08 12 51 12 35 12 19 12 02 11 47 II 31 11 16 11 01 IO 46 10 31 11 00 10 " 13 1° 59 10 45 10 32 10 18 10 05 8 06 9 51 9 39 9 26 9 13 8 59 8 46 10 20 9 01 8 49 8 38 8 27 8 16 7 55 7 44 7 34 7 24 7 13 7 04 20 30 6 47 638 6 29 6 21 6 13 6 05 5 57 5 49 5 41 5 33 526 5 18 30 40 4 34 4 27 4 20 4 14 4 10 4 04 3 58 3 53 3 47 3 43 3 37 3 32 40 50 2 16 2 13 2 10 2 08 2 05 2 02 1 59 1 5° 1 54 1 52 1 49 1 47 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 115 AZIMUTH OR TRUE BEARING. LATITUDE 27°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 27°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 67° 58° 59° Hour Angle. h. in. o / / / t / / / / / r / / h. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 O 00 • 10 4 39 4 22 4 06 3 52 3 38 3 25 3 14 3 °3 2 53 2 43 2 34 2 26 10 20 9 13 839 8 08 7 40 7 13 6 48 6 26 6 04 544 5 2 5 5 07 4 51 20 30 30 13 37 1248 12 02 11 21 10 42 10 06 9 33 9 01 8 32 8 03 7 37 7 12 40 17 45 16 44 15 4« 14 53 1404 13 18 12 34 11 53 1438 11 14 10 38 10 03 9 31 40 50 50 21 37 20 24 19 17 18 14 17 15 16 19 15 27 13 5i 13 07 12 26 11 45 1 00 25 09 23 49 22 32 21 22 20 15 19 11 18 11 17 15 16 21 15 29 14 41 13 55 1 00 10 28 23 26 55 25 33 28 18 24 16 26 55 23 01 21 52 20 45 19 43 18 42 17 46 16 51 15 59 10 20 31 17 29 45 25 36 24 21 23 09 22 01 20 56 '9 53 1853 17 56 20 30 40 30 33 53 32 17 3° 47 29 20 2758 26 38 25 22 24 09 26 08 23 00 21 S3 20 49 19 48 40 36 10 34 34 33 01 31 32 30 07 28 44 27 25 24 55 23 45 25 28 22 37 21 32 50 38 12 36 35 35 00 33 3° 32 03 3° 38 29 16 27 57 26 41 24 17 23 09 50 2 00 39 59 38 22 36 47 35 16 33 48 32 21 3058 29 38 28 19 29 48 27 04 25 50 24 39 2 OO 10 41 32 39 55 38 21 36 5° 35 21 33 54 32 3° 31 08 2831 27 15 26 02 lO 30 20 42 53 41 17 39 44 38 13 36 45 35 17 33 53 32 30 31 09 29 50 28 33 27 18 28 28 30 44 03 42 29 40 57 39 26 37 5» 3° 3; 35 06 33 43 32 22 31 02 29 44 30 40 45 03 43 30 41 59 40 30 39 °3 37 36 36 11 34 48 33 26 32 07 30 48 29 31 40 50 SO 45 54 44 23 42 54 4i 25 39 59 38 34 37 09 35 46 34 25 33 °4 31 46 30 28 3 OO 46 37 45 07 43 40 42 13 40 48 39 23 37 59 36 37 35 16 33 56 32 36 31 19 3 00 10 47 12 45 45 44 19 42 53 41 29 40 06 38 43 37 22 36 01 34 42 33 22 32 05 10 20 20 47 41 46 15 44 51 43 27 42 04 40 42 39 20 38 00 36 40 35 21 34 02 32 44 30 48 03 46 40 45 17 43 55 42 33 41 13 39 52 38 33 37 13 35 54 34 37 33 20 30 40 48 20 4658 45 37 44 17 42 57 41 38 40 18 39 °° 37 4i 36 23 35 06 33 5° 40 50 SO 48 31 47 12 45 52 44 33 43 15 41 57 4° 39 39 21 38 04 36 47 35 31 34 15 4 00 48 38 47 21 46 03 44 45 43 28 42 11 4° 55 39 39 38 22 37 06 35 51 34 35 4 OO lO 48 41 47 25 46 09 44 53 43 38 42 22 41 06 39 50 38 35 37 22 36 06 34 52 10 20 48 40 47 24 46 10 44 56 43 42 42 27 41 13 39 59 38 45 37 31 36 18 35 04 20 30 48 34 47 21 46 08 44 55 43 43 42 3° 41 16 40 03 38 5° 37 38 36 25 35 13 30 40 48 24 47 13 46 01 44 5° 43 39 42 27 41 15 40 04 38 53 37 40 36 29 35 17 40 50 48 11 47 01 45 52 44 42 43 32 42 21 41 12 40 01 385° 37 39 36 29 35 19 SO 5 00 47 56 46 47 45 39 44 3° 43 21 42 13 41 04 39 55 3845 37 35 36 26 35 17 5 00 10 47 37 46 30 45 22 44 15 43 °8 42 00 40 52 39 45 3836 37 28 . 36 20 35 " lO 20 47 15 46 09 45 03 43 57 42 51 4i 45 40 38 39 32 3825 37 18 36 10 35 °3 20 30 46 50 45 45 44 41 43 36 42 32 41 26 40 20 39 15 38 09 37 °4 35 58 34 51 30 40 46 22 45 19 44 16 43 13 42 09 41 04 40 01 3856 37 52 3°47 35 42 34 37 40 50 45 5i 44 49 43 48 42 45 41 43 40 41 39 38 38 34 37 31 36 27 35 23 34 20 50 6 00 45 18 44 17 43 17 42 16 41 15 40 13 39 12 38 10 37 07 36 05 35 02 33 59 6 OO 10 44 43 43 43 42 44 41 44 40 44 39 43 3843 37 42 36 41 35 40 34 39 33 37 lO 20 20 44 05 43 06 42 07 41 09 40 10 39 " 38 12 37 13 36 13 35 13 34 12 33 12 30 43 24 42 27 41 29 40 32 39 35 38 37 37 39 36 40 35 42 34 43 33 44 32 44 30 40 40 42 41 41 44 40 48 39 52 38 55 37 59 37 02 36 05 35 07 34 10 33 12 32 14 50 41 54 41 00 40 05 39 1° 38 15 37 19 3° 23 35 27 34 31 33 35 32 39 31 41 50 7 00 41 06 40 12 39 19 38 25 37 3J 36 37 35 43 34 48 33 53 32 57 32 02 31 06 7 00 lO 40 16 39 23 3831 37 38 36 46 35 52 34 59 34 °5 33 12 32 18 31 24 30 29 10 20 20 39 23 38 32 37 40 3648 35 57 35 05 34 13 33 21 32 29 31 36 3° 44 29 50 30 38 28 37 38 36 47 35 57 35 07 34 16 33 25 32 35 31 44 30 52 30 00 29 09 30 40 40 37 30 36 41 35 52 35 03 34 14 33 24 32 35 31 45 30 56 30 05 29 16 28 25 50 36 30 35 42 34 55 3407 33 18 32 31 31 43 3° 54 30 06 29 17 28 29 27 39 50 8 00 35 27 34 41 33 54 33 °7 32 21 31 34 3° 47 30 01 29 H 28 26 27 39 26 52 8 OO lO 34 22 33 37 32 52 32 06 31 21 30 3° 29 50 29 05 28 19 27 34 26 48 26 02 lO 20 33 15 32 31 31 47 31 03 30 20 29 36 28 51 28 08 27 23 26 38 25 55 25 10 20 30 32 05 31 22 30 40 29 57 29 14 28 33 27 5° 27 08 26 24 25 42 24 59 24 16 30 40 30 53 30 11 29 30 28 49 28 09 27 27 26 46 26 06 25 24 24 43 24 02 23 21 40 50 29 39 28 58 28 19 27 39 27 00 26 20 25 41 25 02 24 22 23 42 23 03 22 23 50 » 00 28 21 27 42 27 °5 26 27 25 49 25 11 24 33 23 56 23 18 22 40 22 02 21 24 9 00 10 27 02 26 25 25 49 25 12 24 36 24 00 23 24 22 48 22 12 21 35 20 59 20 23 lO 20 25 40 25 06 24 31 23 56 23 22 22 47 22 12 21 39 21 04 20 30 19 55 Tq 20 20 30 30 24 17 23 43 23 10 22 37 22 04 21 32 20 59 20 27 19 55 19 21 18 49 18 17 40 22 52 22 19 21 48 21 17 20 46 20 15 19 45 19 14 1843 18 12 17 42 17 10 40 50 21 23 20 53 20 24 19 54 19 ! 5 18 56 18 28 17 59 17 3° 17 01 16 32 16 04 50 10 00 19 54 19 25 1858 18 31 18 04 17 36 17 10 16 42 16 16 15 49 15 22 14 55 10 00 10 18 21 17 56 17 30 17 04 16 39 16 14 15 49 15 25 14 59 14 35 14 10 13 4° 10 20 16 47 16 24 16 01 15 37 15 14 14 50 14 28 14 °5 13 43 13 20 12 57 12 34 20 30 15 12 14 5 1 14 29 14 08 13 47 13 26 13 05 12 45 12 24 12 03 11 43 11 23 30 40 13 35 13 15 12 57 12 37 12 19 12 00 11 41 11 23 11 05 10 46 10 28 10 09 40 50 11 57 11 39 11 22 11 06 10 50 10 33 10 17 10 01 9 43 9 28 9 " 8 55 50 11 OO 10 16 10 01 948 9 33 9 19 9 04 8 50 8 36 8 22 8 08 7 54 7 41 11 00 10 8 36 8 23 8 11 7 59 7 47 7 35 7 23 7 " 6 59 6 48 6 37 6 24 10 20 6 54 6 44 6 34 6 25 6 IS 6 05 5 5° 5 46 5 3° 5 27 5 18 5 09 20 30 5 « 5 03 4 56 4 49 4 42 4 34 4 27 4 20 4 13 4 06 3 58 3 52 30 40 3 28 3 23 3 18 3 13 3 08 3 °3 2 58 2 54 2 49 2 44 2 40 2 34 40 50 1 44 1 42 1 39 1 37 1 34 1 32 1 29 1 27 1 25 ,1 22 1 20 1 18 50 12 00 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude-'and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the Tequired true bearing. 116 AZIMUTH OR TRUE BEARING. iiATITUBE 27'. DECLINATION— SAME NAME AS- -LATITUDE. IATIXCDE 27°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. 1>. hi. o / / / / / / / / / / / li. in. 00 o oo 00 00 00 00 00 00 00 00 00 00 00 10 2 17 2 10 2 03 156 1 49 1 43 1 37 1 31 1 26 1 20 1 16 10 20 4 34 4 19 4 05 3 5" 3 3» 3 25 3 14 3 02 2 51 2 41 2 30 20 30 6 48 6 26 6 05 5 45 5 25 5 07 4 49 4 32 4 15 4 00 3 44 30 40 9 00 831 8 02 7 3° 7 10 6 46 6 23 6 00 5 39 5 18 4 57 40 50 11 08 10 32 9 58 9 25 8 54 8 23 7 55 7 27 7 00 ° 34 6 10 50 1 00 13 11 12 29 II 48 11 11 10 34 9 59 9 24 851 8 20 7 50 7 20 8 29 1 00 10 15 10 14 22 13 36 12 52 12 II 11 30 10 52 10 14 9 38 9 03 10 20 17 02 16 09 15 '9 14 3° 13 44 12 59 12 15 ii 33 10 53 10 14 9 36 20 30 18 48 17 52 16 57 16 04 15 13 14 24 13 3° 12 50 12 06 11 23 10 41 30 40 20 29 19 28 18 29 17 32 16 38 15 44 14 53 14 °4 13 15 12 28 11 44 40 50 22 02 20 58 19 5° 1856 17 58 17 01 16 06 15 13 14 22 13 32 12 #3 50 2 00 23 31 22 23 21 17 20 15 19 13 18 15 17 17 16 20 15 25 14 33 13 41 2 00 10 24 51 23 42 22 34 21 28 20 25 19 23 18 21 17 23 16 26 15 29 14 35 10 20 26 06 24 54 23 44 22 36 21 31 20 27 19 24 18 22 17 23 16 24 15 27 20 30 27 14 26 02 24 50 23 40 22 33 21 26 20 21 19 18 18 15 17 15 16 15 30 40 28 16 27 02 25 49 24 38 23 30 22 21 21 14 20 09 19 06 18 03 17 01 40 50 29 13 27 58 26 44 25 32 24 22 23 12 22 04 20 57 19 52 1847 17 44 50 " 00 30 02 28 48 27 34 26 21 25 09 2358 22 49 21 41 20 35 19 28 18 24 3 00 10 3° 49 29 33 28 19 27 05 25 52 24 41 23 3° 22 22 21 14 20 07 19 00 10 20 31 28 3° 13 28 58 27 45 26 32 25 20 24 08 22 58 21 5° 20 41 19 33 20 30 32 04 3048 29 33 28 19 27 06 25 54 24 42 23 31 22 21 21 12 20 04 30 40 32 33 31 19 30 04 28 49 27 36 26 25 25 12 24 01 22 51 21 40 20 32 40 50 33 °° 31 45 30 30 29 16 28 03 26 51 25 38 24 27 23 17 22 06 20 56 SO 4 00 33 21 32 07 30 52 29 38 28 26 27 13 26 01 24 49 23 39 23 58 22 28 21 18 4 00 10 33 38 32 25 31 11 2958 28 45 27 33 26 20 25 09 22 47 21 37 10 20 33 51 32 38 31 24 30 12 29 00 2748 26 36 25 25 24 14 23 °4 21 53 20 30 34 00 32 48 31 3° 30 24 29 12 28 00 26 49 25 39 24 28 23 17 22 00 30 40 34 06 32 54 31 43 30 32 29 21 28 09 26 59 2548 24 38 23 27 22 18 40 50 34 08 32 58 31 47 30 36 29 26 28 16 27 05 25 56 24 45 23 35 22 25 50 5 00 34 07 32 58 31 48 30 38 29 29 28 18 27 09 25 59 24 50 23 40 22 31 5 00 10 34 03 32 54 31 45 30 36 29 26 28 18 27 10 26 01 24 52 23 43 22 34 10 20 33 55 32 48 31 39 3° 31 29 24 28 16 27 07 25 59 24 52 23 43 22 34 20 30 33 45 32 38 31 32 3 00 ' 10 20 30 40 50 20 46 20 08 19 30 18 51 18 14 17 35 1656 16 17 15 38 14 58 14 20 9 OO 19 47 19 II 18 34 17 58 17 22 16 44 16 07 15 31 14 54 14 16 13 39 10 18 46 18 12 'Z 3 I 17 03 16 29 15 53 15 18 14 43 14 08 13 32 12 57 20 17 44 17 12 16 38 16 06 15 34 15 01 14 27 13 54 13 21 12 48 12 14 30 16 40 16 10 15 39 15 08 14 38 14 07 13 35 13 04 12 33 12 01 11 29 40 15 35 15 07 14 38 14 08 13 40 13 11 12 42 12 13 II 44 11 15 10 45 50 lO 00 10 20 30 40 50 14 29 14 02 13 35 13 oS 12 42 12 15 II 18 11 48 11 21 10 54 10 26 9 59 10 00 13 21 12 56 12 32 12 07 11 42 10 52 10 27 10 02 9 37 9 12 lO 12 12 11 49 II 27 11 04 10 42 10 19 9 56 9 33 9 11 848 825 20 11 02 10 42 10 21 10 01 9 40 9 19 8 58 838 8 18 7 57 7 36 30 9 51 9 33 8 23 9 14 8 5° 8 38 8 20 8 01 7 43 7 25 7 °5 6 47 40 8 39 8 07 7 51 7 35 7 18 7 03 6 46 6 30 6 14 5 57 50 11 00 10 20 30 40 50 12 00 7 26 6 13 7 12 6 01 658 6 44 6 31 6 17 6 03 5 49 5 3° 5 21 5 °7 11 OO 5 50 5 39 5 27 5 15 5 04 4 52 4 40 4 29 4 17 10 4 59 4 5° 440 4 32 4 22 4 13 4 03 3 54 3 45 3 35 3 26 20 3 45: 3 38 3 31 3 24 3 17 3 09 3 03 256 2 49 2 41 2 34 SO 2 30 2 25 2 21 2 16 2 II 2 07 2 02 1 58 I 53 1 49 1 43 40 1 15. I 13 1 10 1 08 I 06 1 04 I 01 59 56 54 52 50 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the suppplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing. 117 AZIMUTH OR TRUE BEARING. latituiix: 28°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDK 28°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hoar Angle. Jl. in. o / / / / / / / / / / / / li. 111. OO 180 oo 180 00 180 00 180 00 00 00 00 00 00 00 00 00 10 150 07 142 43 131 21 "3 41 ?l 25 64 56 46 57 35 21 2748 22 41 19 01 16 18 10 20 130 33 122 42 113 02 l°l 33 88 50 75 59 64 13 54 12 46 03 39 3° 34 17 30 04 20 30 118 59 112 22 104 56 96 48 88 14 79 3° 7i 15 63 30 56 32 5° 25 45 °6 40 30 30 40 Til 44 106 15 100 21 94 06 87 39 81 09 74 43 6834 62 46 57 24 52 31 48 05 40 50 106 46 102 09 97 17 92 14 87 03 81 49 7638 7i 35 66 40 62 00 57 38 53 33 50 1 00 103 08 99 I0 95 °3 90 47 86 28 82 05 77 44 73 25 69 13 65 08 61 14 57 31 1 OO 10 100 17 96 50 93 15 89 35 8552 82 07 78 21 74 37 70 56 67 20 63 5° 60 27 10 20 98 00 94 55 93 18 91 45 88 33 85 16 81 58 78 40 75 21 72 05 6852 65 42 62 38 20 30 96 04 90 27 87 35 84 40 81 44 78 45 75 48 72 52 69 57 67 05 64 15 30 40 94 23 91 52 89 18 86 41 84 °3 81 24 78 43 76 03 73 22 70 42 68 05 65 29 40 50 92 53 9° 35 88 15 85 51 83 27 81 01 78 34 76 08 73 40 71 14 68 48 66 23 50 2 00 91 33 89 25 87 15 85 °3 82 50 80 36 78 20 76 05 73 49 71 33 69 18 67 03 2 OO 10 go 18 88 19 86 19 84 16 82 12 80 08 78 02 75 57 73 5° 71 44 69 37 67 31 10 20 89 09 87 17 85 24 83 3° 81 35 79 39 77 41 75 43 73 45 71 47 69 48 67 50 20 30 88 03 86 18 84 32 82 45 8° 57 79 °7 77 17 75 27 73 36 7i 44 69 52 68 00 30 40 87 01 85 22 83 42 82 01 80 18 78 35 76 51 75 °7 73 22 71 36 69 51 68 05 40 50 86 01 84 27 82 52 81 16 79 39 78 01 76 23 74 44 73 °4 7i 24 69 45 68 04 50 3 00 85 03 83 34 82 03 80 32 79 °° 77 27 75 53 74 19 72 44 71 °9 69 34 67 58 3 OO 10 84. 08 82 43 81 15 79 48 78 20 76 51 75 21 73 51 72 21 70 50 69 19 67 48 10 20 83 12 81 50 80 27 79 °4 77 39 76 14 74 48 73 23 71 56 70 28 69 01 68 41 67 33 20 30 82 18 80 08 79 39 78 19 7658 75 36 74 14 72 52 71 28 70 04 67 15 30 40 81 24 78 51 77 34 76 16 74 57 73 38 72 19 7°58 69 38 68 17 6655 40 50 80 31 79 18 78 04 76 49 75 33 74 18 73 °i 71 45 70 27 69 09 67 51 66 33 50 4 00 79 38 78 27 77 16 76 03 74 5° 73 37 72 23 7i °9 69 53 68 38 67 23 66 07 4 OO 10 7846 77 37 76 27 75 17 74 °6 72 55 7i 43 70 32 69 19 68 06 66 52 °5 39 10 20 77 52 76 46 75 38 74 29 73 21 72 11 71 02 69 53 68 42 67 31 66 21 65 08 20 30 77 00 75 54 74 48 73 42 72 35 71 28 70 20 69 12 68 30 68 04 6655 65 46 64 36 30 40 76 06 75 °3 73 58 72 53 71 48 70 42 69 37 67 24 66 17 65 10 64 02 40 SO 75 12 74 1° 73 °7 72 04 71 00 69 56 68 52 67 48 66 42 65 37 64 31 63 25 50 5 OO 74 18 73 16 72 14 71 13 70 II 69 09 68 06 67 °3 66 00 6456 63 52 62 47 5 OO 10 73 22 72 23 71 23 70 22 69 21 68 20 67 19 66 17 65 15 64 12 63 10 62 07 10 20 72 27 71 28 70 29 33 68 30 67 30 66 30 65 3° 64 29 6328 62 26 61 24 20 30 71 30 7° 33 69 34 67 37 6638 65 4° 64 40 63 40 62 41 61 41 60 40 30 40 70 32 Sg 35 68 37 67 41 66 43 65 46 64 47 63 49 62 51 61 52 60 53 59 54 40 50 69 32 68 37 67 41 66 44 6548 64 51 63 54 62 58 61 59 61 02 60 05 59 °6 50 6 00 6832 67 38 66 42 65 47 64 5i 63 54 62 59 62 04 61 07 60 10 59 13 58 16 6 OO 10 67 3i 6636 65 41 64 47 63 52 °2 57 62 02 61 07 60 11 59 16 58 20 57 25 10 20 66 27 65 34 64 41 63 47 62 53 61 59 61 04 60 10 59 15 58 21 57 26 56 31 20 30 65 23 64 30 63 37 62 44 61 50 60 57 60 04 59 1° 58 17 57 22 56 29 55 34 30 40 64 16 63 24 62 31 61 39 60 46 59 53 59 °° 58 08 57 15 56 22 55 29 54 36 40 50 63 08 62 16 61 24 60 32 59 4i 58 49 57 57 57 °5 56 13 55 20 54 29 53 36 50 7 OO 61 57 61 06 60 15 59 24 58 33 57 41 56 49 55 59 55 08 54 17 53 25 52 33 7 OO 1 10 60 45 59 54 59 °3 58 13 57 22 56 31 55 4i 54 5° 53 59 53 °9 52 19 51 28 IO 20 59 30 58 12 58 39 57 49 57 °° 56 09 55 19 54 3° 53 4i 52 5° 52 00 51 11 5° 21 20 30 57 23 56 33 55 44 54 55 54 05 52 48 53 16 52 27 51 37 5° 49 50 00 49 11 30 40 56 52 56 °3 55 14 54 26 53 37 51 5i' 51 12 5° 23 49 35 48 47 47 58 40 50 55 30 54 4i 53 53 53 °5 52 17 51 28 5040 49 53 49 06 48 18 47 32 46 44 50 8 00 54 °3 53 16 52 28 51 41 5° 53 5° °5 49 18 48 32 47 45 46 59 46 13 45 26 8 OO 10 52 35 51 48 51 00 5° 14 49 27 48 40 47 54 47 °8 • 46 22 45 37 44 51 44 °6 10 20 51 03 50 16 49 29 48 44 47 57 47 11 46 26 45 4i 44 56 44 11 43 27 42 42 20 30 49 27 48 41 47 55 47 1° 46 25 45 4° 44 55 44 11 43 27 42 43 42 00 41 17 30 40 47 47 47 °3 46 18 45 33 44 49 44 °4 43 21 4238 41 54 41 12 40 29 39 47 40 50 46 05 45 20 44 36 43 52 43 °9 42 26 41 43 41 01 40 19 39 37 38 56 3» 15 50 9 OO 44 17 43 34 42 5° 42 08 4i 25 4° 43 40 02 39 21 38 40 37 59 37 19 36 39 9 OO 10 42 26 41 43 41 01 40 19 39 38 3858 3 ? I7 o 37 38 36 57 36 18 35 39 35 00 IO 20 40 30 39 49 39 °8 38 27 37 47 37 °8 36 28 35 5° 35 12 34 34 32 4° 33 57 33 19 20 30 38 29 37 5° 37 1° 36 30 35 52 35 15 34 37 34 °° 33 22 32 10 31 34 30 40 36 24 35 46 35 °8 34 3i 33 53 33 16 32 4° 32 05 31 29 3° 54 30 20 29 46 40 50 34 15 33 38 33 °2 32 26 31 5° 31 15 30 40 30 07 29 33 29 00 28 28 27 55 50 10 OO 32 01 31 26 3° 5i 3° 17 29 43 29 10 28 37 28 05 27 33 27 02 26 31 26 01 10 00 10 29 42 29 °9 2835 28 03 27 32 27 01 26 29 26 00 25 3° 25 01 24 32 24 °3 10 20 27 19 26 47 26 17 25 46 25 17 24 48 24 19 23 51 23 23 22 56 22 29 22 02 20 30 24 5i 24 21 23 54 23 25 22 58 22 31 22 04 21 39 21 13 20 48 20 24 19 59 30 40 22 18 21 52 21 25 21 00 20 35 20 11 19 47 19 24 19 01 18 37 18 16 17 54 40 50 19 41 19 17 18 54 18 31 18 09 17 48 17 26 17 °5 16 45 16 24 16 05 15 45 50 11 00 17 00 1639 16 19 15 59 15 4° 15 21 15 ° 2 14 44 14 26 14 °9 13 5i 13 35 11 OO 10 14 16 13 58 13 41 13 25 13 °8 12 52 12 36 12 21 12 06 » 51 11 36 11 22 10 20 n 29 11 15 II 00 10 47 1° 33 10 20 10 08 9 55 9 43 9 3i 9 20 9 o7 20 30 8 39 8 28 8 17 8 07 7 57 7 47 7 37 7 28 7 19 7 10 7 01 6 52 30 40 5 47 5 39 5 33 526 5 19 5 12 5 °6 4 59 4 53 4 47 4 41 4 35 40 50 2 54 2 5° 2 47 2 43 2 40 2 3° 2 33 2 3° 2 27 2 24 2 21 2 18 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 118 AZIMUTH OR TRUE BEARING. LATITUDE! 28°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 28°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. hi. O i / / / / / / / / / / / li. m. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 io 14 ii 12 32 II II 10 03 9 °7 8 19 7 38 7 01 6 29 6 01 5 35 5 13 IO 20 26 37 2348 21 25 19 25 17 42 16 13 14 54 13 46 12 45 11 5i 11 03 10 18 20 30 36 33 33 °9 30 II 27 3° 25 21 23 22 21 37 20 02 1837 17 22 16 13 15 i° 30 40 44 06 40 33 37 22 34 3° 31 57 29 39 27 34 25 41 23 59 22 26 21 01 19 44 40 50 49 45 46 16 43 04 40 08 37 28 35 °o 32 45 30 40 28 46 27 01 25 24 23 54 50 1 00 54 00 5° 42 47 36 44 41 42 00 39 3° 37 °9 34 58 32 58 31 °4 29 19 27 41 1 OO 10 57 13 54 °6 51 09 48 22 45 44 43 14 40 54 38 41 36 36 34 39 3248 31 04 10 20 59 38 56 45 53 59 51 19 48 46 46 21 44 °2 4i 49 39 44 37 45 35 51 34 04 20 30 61 30 58 49 56 13 53 41 51 15 48 54 46 40 44 29 42 25 40 26 38 32 36 43 30 40 62 56 60 25 57 58 55 36 53 17 51 °l 48 5° 46 44 44 42 42 44 40 50 39*2 40 50 64 01 61 40 59 22 57 06 54 54 52 45 5° 39 48 37 46 37 44 43 42 5° 41 03 50 2 00 64 50 62 38 60 28 58 20 56 14 54 11 52 10 50 12 48 16 46 24 44 34 42 48 2 OO 10 65 26 63 22 61 20 59 18 57 18 55 20 53 24 51 3° 49 38 4748 46 02 44 17 10 20 65 52 63 55 61 58 03 58 09 56 16 54 24 52 35 5° 47 49 01 47 16 45 34 20 30 66 10 64 19 62 28 60 38 585° 57 01 55 14 53 28 51 45 50 02 48 20 46 40 30 40 66 19 64 34 62 49 61 04 59 20 57 37 55 53 54 12 52 31 5° 51 49 13 47 35 40 50 66 23 64 43 63 02 61 22 59 42 5803 56 24 54 46 53 °8 51 32 49 56 48 21 50 3 00 66 21 64 46 63 09 61 33 59 57 58 22 56 47 55 12 53 38 52 05 5° 31 49 0° 3 OO 10 66 16 64 44 63 11 61 39 60 07 58 35 57 °3 55 32 54 01 52 30 5° 59 49 30 10 20 66 05 64 37 63 08 61 39 60 10 58 42 57 13 55 45 54 17 52 49 51 21 49 55 20 30 65 5i 64 26 63 01 61 35 6b 10 58 44 57 19 55 52 54 27 53 02 51 36 50 12 30 40 65 33 64 12 62 50 61 27 60 04 5841 57 18 55 56 54 33 53 1° 51 47 50 24 j *° 50 65 13 63 55 62 35 '61 15 59 55 58 35 57 15 55 54 54 33 53 12 51 52 50 32 50 4 00 64 50 63 34 62 17 60 59 59 42 58 24 57 06 55 48 54 29 53 11 51 52 50 34 4 00 10 64 25 63 10 61 56 60 40 59 25 58 10 56 55 55 38 54 22 53 °6 51 49 50 33 10 20 63 57 62 45 61 32 60 19 59 05 57 52 5638 55 24 54 1° 52 56 51 42 50 27 20 30 63 26 62 16 61 06 59 54 58 43 57 32 56 20 55 °8 53 56 52 43 51 31 50 17 30 40 62 54 61 46 60 36 59 28 58 19 57 09 55 58 54 48 53 38 52 27 51 16 50 05 40 50 62 19 61 12 60 05 5858 57 51 56 42 55 34 54 26 53 17 52 07 5°58 49 49 50 5 OO 61 42 60 37 59 3i 58 26 57 20 56 13 55 °7 54 00 52 53 51 45 5° 37 49 29 5 00 10 61 04 60 00 58 55 57 51 56 47 55 42 54 37 53 31 52 26 51 20 50 13 49 07 10 20 60 22 59 20 58 17 57 15 56 11 55 08 54 °5 53 01 51 57 5" 51 49 47 48 42 20 30 59 39 58 39 57 38 5°36 55 34 54 32 53 3° 52 27 51 24 50 21 49 '8 48 14 30 40 58 54 57 55 56 55 55 55 54 54 53 53 52 53 5i 51 5° 50 49 47 48 45 47 43 40 50 58 08 57 1° 56 10 55 " 54 12 53 13 52 13 51 12 5° 13 49 12 48 11 47 1° 50 6 00 5 l ! 1 56 22 55 24 54 26 53 28 52 3° 51 31 5° 32 49 33 48 34 47 34 46 34 6 OO 10 56 28 55 32 54 35 53 38 52 41 51 45 5° 47 49 49 4 ! 5 ' 47 52 4« 54 45 55 10 20 55 35 54 4i 53 45 52 48 51 53 5" 56 50 00 49 °3 48 06 47 °9 46 12 45 15 20 30 54 4° 53 46 52 52 5i 57 51 01 50 07 49 11 48 16 47 20 46 23 45 27 44 32 30 40 53 43 52 49 51 56 51 02 50 08 49 14 48 20 47 25 46 31 45 36 44 41 43 46 40 50 52 43 5i 51 5058 50 06 49 12 48 19 47 26 46 33 45 39 44 45 43 5i 42 57 50 7 00 51 41 5° 5° 49 58 49 07 48 05 48 14 47 23 46 3° 45 38 44 46 43 53 43 00 42 07 7 OO 10 50 37 49 47 48 56 47 14 46 23 45 32 44 41 43 5° 42 57 42 06 4i 15 10 20 49 31 48 41 47 5i 47 °i 46 11 45 20 44 31 43 41 42 51 42 00 41 °9 40 19 20 30 48 22 47 34 46 45 45 55 45 06 44 17 43 28 42 39 41 5° 41 01 40 11 39 21 30 40 47 11 46 23 45 35 44 47 43 58 43 11 42 22 41 34 40 47 39 58 38 53 39 °9 38 22 40 50 45 57 45 1° 44 22 43 36 42 49 42 02 41 15 40 28 39 4° 38 06 37 19 50 8 00 44 40 43 54 43 07 42 21 41 35 40 5° 40 03 39 18 38 33 37 46 37 °o 36 14 8 00 10 20 43 20 42 36 4i 5° 4i 05 40 21 39 35 3851 38 06 37 21 3° 36 35 52 35 07 10 41 58 41 14 40 30 39 47 39 °3 38 19 37 35 36 52 36 °8 35 25 34 4i 33 58 20 30 40 50 40 32 39 5° 39 07 38 24 37 42 36 59 36 17 35 35 34 53 34 10 33 28 32 47 30 39 °5 30 23 37 4i 37 °° 36 18 35 37 34 56 34 15 33 35 32 53 32 13 31 32 40 37 34 36 53 ,36 13 35 32 34 52 34 12 33 32 32 53 32 13 31 33 30 54 30 15 50 9 00 35 59 35 21 34 41 34 °i 33 23 32 45 32 06 31 28 3° 5° 30 12 29 34 28 57 9 00 10 34 22 33 45 33 06 32 29 31 52 31 15 3° 37 30 01 29 24 28 48 28 12 27 36 10 20 32 42 32 06 31 29 3° 53 30 17 29 42 2907 28 32 27 56 27 21 26 46 26 12 20 30 40 50 3° 59 30 23 29 49 29 15 28 40 28 06 27 33 26 59 26 25 25 52 25 20 24 47 30 . 29 12 28 39 28 05 27 32 27 00 26 28 25 56 25 24 24 53 24 21 23 49 23 19 40 27 23 26 51 26 20 25 49 25 18 24 47 24 17 23 46 23 17 22 47 22 18 21 49 50 10 00 10 25 3° 25 00 24 31 24 02 23 33 23 °5 22 36 22 07 21 40 21 12 20 44 20 17 10 00 23 35 23 07 22 39 22 12 21 45 21 19 20 52 20 25 19 59 19 33 19 08 1843 17 08 10 20 30 21 36 21 11 2° 45 20 20 19 55 19 3° 19 °7 18 42 18 18 17 54 17 31 20 19 36 19 12 1849 18 25 18 03 17 40 17 18 1656 16 34 16 12 15 51 15 30 30 40 50 17 32 17 31 1 42 16 28 16 09 15 48 15 28 15 08 14 49 14 29 14 °9 13 51 40 15 25 15 °7 14 4» 14 3° 14 II 13 54 13 36 13 18 13 01 12 44 12 27 12 10 50 11 00 13 18 13 °2 12 45 12 29 12 14 11 58 11 43 11 27 11 12 10 58 10 43 10 29 11 00 10 II 08 1° 54 10 41 10 27 10 14 10 01 9 48 9 35 9 22 9 10 8 57 8 46 IO 20 30 40 50 8 56 8 45 8 35 823 8 13 8 03 7 52 7 42 7 31 7 22 7 11 7 01 20 6 43 6 35 6 27 6 18 6 11 6 03 5 54 5 47 5 39 5 32 5 24 5 17 30 4 3° 4 24 4 18 4 13 4 °7 4 02 3 57 3 52 3 47 3 42 3 37 1 48 3 32 40 2 IS 2 12 2 09 2 06 2 03 2 01 1 59 1 5° 1 53 1 51 I 46 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 119 AZIMUTH OR TRUE BEARING. LATITUDE 28°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 28°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hoar Angle. b. in. o / / / / / / ' r ' / / / 1«. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 00 10 4 52 4 34 8 29 4 01 3 47 3 33 3 20 3 09 258 2 49 2 39 2 30 10 20 9 38 9 02 758 7 29 7 03 ° 39 6 16 5 55 5 35 5 16 4 59 20 30 14 13 13 20 12 33 11 48 11 07 10.28 9 52 9 20 8 48 8 18 7 5° 7 24 30 40 18 31 17 26 16 24 15 27 14 35 13 45 13 00 12 16 11 3° 10 57 10 21 9 47 40 50 22 30 21 13 20.01 18 54 17 52 16 53 15 58 15 06 14 17 13 3° 12 47 12 05 50 1 00 26 09 24 43 23 23 22 07 20 56 19 49 18 46 17 46 16 50 15 5° 15 05 14 18 1 OO 10 29 26 27 54 26 27 25 05 23 47 22 33 21 24 20 18 19 14 18 15 17 18 16 25 10 20 32 23 30 46 29 14 27 46 26 24 25 06 23 50 22 39 21 30 20 25 19 23 18 24 20 30 34 59 33 19 31 45 30 14 28 47 27 25 26 05 24 50 23 37 22 27 21 20 20 17 30 40 37 17 35 37 34 00 32 27 3058 29 32 28 10 26 50 25 33 24 20 23 10 22 03 40 50 39 18 37 37 35,59 34 25 32 54 31 26 30 02 28 40 27 21 26 05 24 51 23 41 50 2 00 41 03 39 23 37 45 36 11 34 39 33 10 31 43 30 20 29 00 27 41 26 25 25 12 2 00 10 42 35 40 56 39 18 37 43 36 12 34 43 33 16 31 51 30 28 29 08 27 5" 26 35 10 20 43 54 42 16 40 39 39 06 37 35 36 05 34 37 33 12 31 49 30 27 29 09 27 52 20 30 45 01 43 25 4i 50 40 17 38 46 37 18 35 5i 34 25 33 °i 31 39 30 19 29 02 30 40 45 59 44 25 42 52 41 20 39 5i 38 22 3° 55 35 3° 34 07 32 44 31 23 30 04 40 50 50 46 47 45 15 43 44 42 14 40 45 39 18 37 52 36 27 35 °3 33 4i 32 21 31 02 3 00 47 28 45 58 44 28 42 59 41 32 40 06 38 41 37 1° 35 54 34 32 33 11 31 52 3 OO lO 48 01 46 33 45 05 43 39 42 12 40 47 39 23 37 59 3° 37 35 16 33 56 32 37 10 20 48 27 47 01 45 35 44 11 42 46 41 22 39 59 38 37 37 15 35 54 34 34 33 17 20 30 48 47 47 23 45 59 44 36 43 13 41 51 40 29 39 °7 37 47 36 27 35 08 33 5° 30 40 49 02 47 4o 46 17 44 56 43 35 42 14 40 53 39 33 3 ! l i 3° 55 35 36 34 19 40 50 49 11 47 51 46 30 45 " 43 51 42 32 4i 13 39 54 38 3° 37 18 36 00 34 43 50 4 OO 49 16 47 58 46 39 45 20 44 02 42 45 41 28 40 09 3852 37 35 36 18 35 02 4 OO 10 49 16 47 59 46 42 45 26 44 09 42 53 41 38 40 21 39 04 37 49 36 35 35 19 10 20 49 12 47 57 46 42 45 27 44 13 42 57 41 43 40 28 39 13 39 18 37 58 36 44 35 3° 20 30 30 49 °5 47 51 46 37 45 24 44 12 42 58 41 45 4° 31 3803 36 49 35 37 40 48 54 47 42 46 30 45 19 44 06 42 55 41 42 40 29 39 17 38 04 36 52 35 41 40 50 48 39 47 29 46 18 45 08 43 57 42 47 41 37 40 25 39 14 38 03 3°52 35 4° 50 5 00 48 22 47 13 46 03 44 54 43 45 42 37 41 27 40 17 39 08 37 58 3° 47 35 37 a OO 10 48 01 46 53 45 45 44 38 43 30 42 22 41 15 40 06 38 57 37 49 36 39 35 31 lO 20 20 47 37 46 31 45 24 44 19 43 13 42 06 40 59 39 51 38 45 37 37 36 29 35 22 30 47 10 46 06 45 01 43 56 42 51 41 46 40 40 39 34 38 28 37 22 3° 15 35 °9 30 40 50 40 4641 45 38 44 34 43 30 42 26 41 23 40 18 39 14 3809 37 04 35 58 34 53 50 46 09 45 07 44 05 43 03 42 00 40 57 39 54 3851 37 47 36 43 35 4° 34 35 6 OO 45 34 44 33 43 32 42 32 4i 30 40 29 39 27 38 24 3T23 3° 19 35 17 34 15 6 00 lO 10 44 56 43 57 42 57 4i 58 40 58 39 58 3858 37 5° 3°5° 35 54 34 52 33 51 20 44 17 43 19 42 20 41 22 40 23 39 25 38 25 37 26 36 25 35 26 34 25 33 25 20 30 40 50 30 43 35 42 38 41 41 40 44 39 46 3848 37 5° 36 5J 35 53 34 54 33 55 32 56 40 42 50 41 55 40 59 40 03 39 06 38 10 37 13 3° 16 35 18 34 21 33 23 32 24 50 42 03 41 09 40 14 39 19 38 24 37 29 36 33 35 37 34 41 33 44 32 48 31 52 7 OO 4i 14 40 21 39 27 38 33 37 39 36 46 35 5i 34 56 34 01 33 °7 32 11 31 16 7 OO lO 40 22 39 3i 3838 37 45 36 53 36 00 35 0° 34 13 33 20 32 26 31 32 3° 38 10 20 30 40 SO 20 39 29 38 37 37 4« 36 55 30 03 35 12 34 20 33 27 32 36 31 43 3° 5° 29 58 30 38 32 37 42 36 52 36 02 35 12 34 22 33 31 32 4° 31 50 3058 30 07 29 15 40 37 33 36 45 35 56 35 07 34 18 33 29 32 40 31 50 31 01 30 10 29 21 28 32 50 36 32 35 45 34 57 34 10 33 22 32 35 31 47 30 58 30 10 29 22 28 34 27 45 8 OO 35 29 34 43 33 56 33 10 32 24 31 37 30 51 30 04 29 17 28 29 27 43 26 57 8 00 10 34 23 33 38 32 53 32 08 31 23 30 38 29 54 29 08 28 22 27 37 26 52 26 06 10 20 30 40 50 20 33 14 32 31 31 47 31 04 30 20 29 37 28 54 28 10 27 26 26 41 25 58 25 14 30 32 04 31 22 30 40 29 58 29 16 28 34 27 51 27 °9 26 27 25 44 25 02 24 19 40 30 52 30 11 29 30 28 50 28 09 27 28 2647 26 07 25 26 24 45 24 04 23 23 22 26 50 29 37 2857 28 18 27 39 26 59 26 21 25 42 25 02 24 24 23 44 23 °5 9 OO 28 19 27 41 27 04 26 26 25 48 25 12 24 34 23 56 23 18 22 41 22 04 21 25 9 OO lO 20 30 40 10 26 59 26 24 25 47 25 12 24 36 24 00 23 24 22 47 22 12 21 37 21 00 20 25 20 25 38 25 °3 24 29 23 08 23 55 23 20 22 47 22 12 21 39 21 05 20 30 19 56 19 22 30 24 13 23 41 22 36 22 03 21 31 20 58 20 27 19 55 19 21 18 49 18 17 40 22 48 22 17 21 45 21 14 20 44 20 14 19 44 19 12 18 42 18 12 17 42 17 12 50 21 19 20 50 20 21 19 52 19 23 18 55 18 27 17 58 17 3° 17 01 16 33 16 04 50 10 OO 19 49 19 23 18 55 18 28 18 01 17 35 17 08 16 42 16 15 15 48 15 22 14 5° 10 00 lO 20 30 40 50 lO 18 18 17 52 17 27 17 02 16 37 16 13 15 48 15 23 14 59 14 34 14 10 13 45 20 16 44 16 21 16 01 15 37 15 12 14 49 14 27 14 °4 13 41 13 19 12 57 12 35 30 15 08 14 48 14 26 14 "5 13 44 13 24 13 04 12 43 12 23 12 03 11 42 II 23 40 13 31 13 13 12 54 12 35 12 17 11 59 11 39 11 21 II 04 I°45 10 27 10 09 50 11 53 II 37 11 20 11 04 1047 10 31 10 15 9 59 9 43 9 26 9 11 8 55 11 OO 10 14 10 00 9 45 8 10 9 31 9 17 9 °3 8 49 8 35 8 21 8 07 63° 7 40 11 OO lO 10 8 33 8 21 758 7 46 7 34 7 22 7 11 6 58 6 47 6 24 20 6 52 6 42 6 32 6 23 ° 13 6 04 5 54 5 45 5 36 5 27 5 18 5 08 20 30 40 50 12 00 30 5 l° 5 °3 4 55 4 48 4 41 4 34 4 27 4 20 4 13 4 °5 3 58 3 52 40 3 27 3 22 3 17 3 12 3 07 3 02 2 58 2 53 2 48 2 44 2 39 2 35 50 1 43 1 41 1 39 1 36 : 34 1 32 1 29 1 27 1 24 1 21 1 19 1 17 12 00 00 00 00 00 00 00 00 00 00 00 00 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 120 AZIMUTH OR TRUE BEARING. LATITUDE 28°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 28°. Hour Angle. 60° 61° 62° 03° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. m. o / / / / / i / / / / / h. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 2 22 2 13 2 06 1 59 1 52 1 46 1 39 I 33 1 28 1 22 1 16 10 20 4 42 4 25 4 11 3 57 3 42 3 3° 3 18 3 °° 2 54 2 43 2 33 20 30 6 59 6 36 6 14 5 53 5 33 5 13 4 55 4 37 4 20 4 °4 3 48 30 40 9*5 844 8 15 7 47 7 21 6 55 6 31 6 08 5 45 5 24 5 03 40 SO 11 25 10 48 10 12 9 38 9 06 8 35 8 05 7 36 7 09 6 43 6 16 50 1 00 13 32 12 48 12 06 11 27 10 48 10 11 9 36 9 02 8 29 7 58 7 29 1 OO lO 15 32 14 43 13 55 13 10 12 27 II 45 11 05 10 26 9 49 9 13 8 38 10 20 17 27 16 32 15 4° 14 5° 14 01 13 15 12 30 11 47 11 06 10 25 9 46 20 30 19 15 18 16 17 20 16 25 15 32 14 41 13 52 13 °5 12 20 11 36 10 53 11 50 30 40 20 58 19 54 18 53 17 55 1° 59 16 04 15 11 14 20 13 30 12 43 40 50 22 32 2i 25 20 22 19 20 18 20 17 21 16 25 15 31 14 38 13 47 12 57 50 2 00 24 00 22 51 21 45 20 40 19 36 18 35 17 36 16 39 15 42 14 47 13 55 2 00 10 25 22 24 10 23 01 21 54 20 48 19 44 18 43 17 41 16 42 15 46 14 5° lO 20 26 37 25 23 24 13 23 03 21 55 20 48 19 45 18 42 17 4° 16 40 15 42 20 30 27 46 26 31 25 18 24 07 22 57 21 49 20 42 19 37 18 33 17 32 16 31 30 40 23 48 27 32 26 18 25 °5 23 54 22 45 21 37 20 29 19 23 18 19 17 17 40 50 29 44 28 27 27 12 25 59 2446 23 35 22 26 21 17 20 10 19 °5 18 00 50 3 00 3° 34 29 17 28 01 26 47 25 33 24 21 23 11 22 01 2° 53. 19 45 18 39 3 OO 10 31 18 30 01 28 46 27 31 26 16 25 °4 23 52 22 41 21 32 20 24 19 16 lO 20 31 58 30 40 29 24 28 09 26 55 25 42 24 30 23 19 22 07 20 59 19 5° 20 30 32 33 31 15 30 00 28 44 27 29 26 16 25 °3 23 51 22 40 21 30 20 21 30 40 33 02 3i 45 30 30 29 15 27 59 2645 25 33 24 21 23 08 21 58 20 48 40 50 33 27 32 11 30 55 29 40 28 26 27 12 25 59 24 4° 23 34 22 23 21 13 50 4 00 33 47 32 31 31 16 30 02 28 47 27 34, 26 21 25 °9 23 57 22 45 21 34 4 OO lO 34 °3 32 48 31 34 30 20 29 °5 27 53 26 40 25 27 24 15 23 °4 21 53 10 20 34 16 33 °i 31 48 3° 35 29 21 28 08 2656 25 43 24 31 23 19 22 08 20 30 34 23 33 11 31 57 3° 45 29 32 28 20 27 08 25 55 24 44 23 33 22 21 30 40 34 28 33 15 32 04 3° 52 29 4° 28 28 27 17 26 05 24 54 23 42 22 31 40 50 34 30 33 18 32 07 3° 56 29 44 28 33 27 23 26 II 25 01 23 5° 22 40 50 5 00 34 27 33 1° 32 07 3° 57 29 46 28 35 27 25 26 15 25 °5 23 55 22 44 5 00 lO 34 22 33 13 32 04 30 55 29 44 28 35 27 26 26 16 25 06 23 56 22 47 lO 20 34 14 33 °5 31 57 3° 49 29 40 28 31 27 23 26 14 25 °5 23 56 22 47 20 30 34 °2 32 55 31 48 30 40 29 32 28 25 27 17 26 09 25 01 23 53 22 45 30 40 33 48 32 42 31 36 30 3° 29 22 28 16 27 °9 26 02 24 55 23 48 22 40 40 50 33 3° 32 26 31 21 30 16 29 09 28 04 26 59 25 53 24 46 23 40 22 33 50 6 OO 33 1° 32 07 31 °3 30 00 2855 27 5° 26 46 25 4° 24 35 23 3° 22 24 6 00 10 32 49 31 4° 3° 44 29 41 28 37 27 33 26 30 25 26 24 22 23 17 22 13 10 20 32 23 31 22 30 21 29 19 28 17 27 15 26 12 25 °9 24 06 23 °3 22 00 20 30 31 56 3° 56 29 56 2856 27 54 26 53 25 52 24 5° 23 48 22 46 21 44 30 40 31 27 3° 28 29 29 28 29 27 3° 26 30 25 3° 24 3° 23 29 22 28 21 27 40 50 30 55 29 57 29 00 28 01 27 °3 26 05 25 06 24 06 23 07 22 07 21 08 50 7 OO 30 20 29 24 28 28 27 31 26 34 25 37 24 4° 23 41 22 43 21 45 20 46 7 OO 10 29 44 28 49 27 53 26 58 26 02 25 °7 24 11 23 14 22 17 21 20 20 22 10 20 29 04 28 11 27 17 26 24 25 29 24 35 23 4° 22 45 21 49 2° 54 19 58 20 30 28 24 27 31 26 39 25 47 24 54 24 01 23 08 22 14 21 20 2b 26 19 32 30 40 27 41 26 50 26 00 25 09 24 17 23 25 22 34 21 42 20 49 19 57 19 °4 40 50 26 56 26 07 25 18 24 29 23 38 22 48 21 58 21 07 20 10 19 25 18 34 50 8 00 26 09 25 21 24 34 23 46 22 57 22 09 21 20 20 31 19 41 18 52 l8 02 8 00 lO 25 20 24 34 23 47 23 01 22 14 21 27 20 40 19 53 19 °5 18 17 17 29 10 20 24 29 23 44 23 00 22 16 21 30 20 44 20 00 19 14 18 27 17 41 16 55 20 30 23 36 22 53 22 II 21 27 20 44 20 01 19 16 18 32 1748 17 °4 16 18 30 40 22 42 22 01 21 19 20 38 19 5° 19 14 18 32 17 49 17 07 16 24 15 42 40 50 21 46 21 07 20 27 19 47 19 06 18 27 17 46 17 06 J6 25 15 44 15 °3 50 9 00 20 48 20 10 19 32 1855 18 16 17 37 16 59 16 20 15 42 15 02 14 23 9 00 10 19 49 19 12 18 36 18 00 17 23 16 47 16 il 15 33 14 56 14 19 13 41 10 20 18 48 18 13 17 4° 17 °5 16 30 15 55 15 21 14 45 14 II 13 35 12 59 20 30 17 44 17 12 16 41 16 08 15 35 15 °2 14 3° 13 57 13 23 12 50 12 17 30 40 16 41 16 11 15 4° 15 10 14 39 14 08 13 38 13 06 12 35 12 03 11 32 40 50 15 3° 15 °7 14 39 14 10 13 4i 13 13 12 44 12 14 11 46 11 17 10 47 50 lO 00 14 29 14 °3 13 3° 13 10 12 42 12 15 11 49 11 22 1° 55 10 28 10 00 10 00 10 13 21 12 56 12 32 12 07 11 42 11 18 1° 53 10 28 10 03 9 39 9 13 lO 20 12 12 11 49 11 27 11 05 10 42 10 20 9 58 9 35 9 12 8 49 8 26 20 30 11 01 10 41 10 21 10 01 9 41 9 21 9 00 8 39 8 19 7 58 7 38 30 40 9 5i 9 33 9 15 8 56 8 38 8 21 8 02 7 43 7 25 7 °7 6 48 40 50 8 39 8 23 8 08 7 51 7 35 7 19 7 °3 6 47 631 6 15 5 59 50 11 00 7 26 7 12 6 59 6 45 6 31 6 18 6 04 5 5° 5 3°' 5 22 5 08 11 OO 10 6 13 6 01 5 5° 5 39 5 27 5 1° 5 °4 4 52 4 41 4 29 4 18 10 20 4 59 4 49 4 41 4 31 4 22 4 13 4 °4 3 54 3 45 3 36 3 27 20 30 3 45 3 37 3 31 3 24 2 16 3 17 3 10 3 04 2 56 2 49 2 42 2 35 30 40 2 29 2 25 2 21 2 II 2 07 2 02 1 58 1 53 1 49 1 44 40 50 1 15 1 13 1 10 1 08 I 06 1 03 1 01 59 57 ° 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and - when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 121 AZIMUTH OR TRUE BEARING. LATITUDE 29°. DECI.INATION- -SAME NAME AS— LATITUDE. LATITUDE 29°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / t / / / / / 1 / / 1 li. 111. 00 180 oo t8o 00 180 00 180 00 180 00 00 00 00 00 00 00 00 10 155 19 150 18 142 56 131 35 113 52 §8 2 + 64 43 4638 35 03 27 33 22 27 18 48 10 20. 30 137 02 130 46 122 54 113 12 101 37 88 47 75 50 6358 53 54 45 43 39 11 34 34 20 124 57 "6 53 119 10 112 31 105 01 96 50 88 11 79 27 71 01 63 14 56 13 50 04 44 43 30 40 ill 50 106 19 100 7.3 94 05 87 34 81 00 74 32' 68 18 62 28 57 04 52 08 40 50 in II 106 50 102 11 97 17 92 11 8658 81 41 76 26 71 19 66 23 61 41 57 16 50 1 00 106 57 103 09 99 09 95 00 90 43 86 21 81 56 77 32 73 11 68 56 64 50 60 53 1 00 10 103 38 • 100 17 96 47 93 " 89 29 85 44 81 56 78 08 74 22 7° 39 67 01 63 29 10 ' 20 100 57 97 56 94 5i 91 40 88 24 85 07 81 47 78 27 75 06 71 48 6833 65 22 20 30 9841 95 58 93 11 90 21 So 09 87 26 84 29 81 31 78 32 75 33 72 35 69 39 66 44 30 40 9° 45 94 16 91 44 86 32 83 52 81 12 78 28 75 47 73 05 70 23 67 44 40 50 95 02 92 45 90 26 88 04 85 39 83 14 80 47 78 18 75 5° 73 22 70 53 68 27 50 2 00 93 3° 91 23 IS H 87 02 84 49 82 36 80 20 78 04 75 47 73 30 71 13 6856 2 00 10 92 05 90 06 88 56 88 07 86 05 84 02 81 57 79 52 77 45 75 38 73 3° 71 23 69 15 10 20 go 46 87 04 85 10 83 15 81 19 79 22 77 23 75 24 73 25 7i 25 69 26 20 30 h 3i 8749 86 03 84 17 82 29 80 39 7» 50 7658 75 06 73 15 71 22 69 29 30 40 88 24 8645 85 05 83 25 81 43 79 59 78 15 76 31 74 4° 73 °° 71 13 69 27 40 SO 87 18 85 44 84 09 82 34 80 57 79 19 77 41 76 02 74 22 72 41 71 00 69 19 SO 3 00 86 14 8 4 45 83 15 81 44 80 11 78 39 77 °5 75 31 73 55 72 20 7° 45 69 08 3 00 10 85 12 |3 47 82 21 80 54 79 26 77 57 76 28 74 58 73 27 71 56 70 24 68 52 10 20 84 12 82 50 81 28 80 05 78 40 77 16 75 50 74 23 72 57 71 30 70 02 68 34 20 30 83 14 81 54 8035 79 16 77 54 76 33 75 « 73 49 72 25 71 01 69 37 68 12 30 40 82 17 81 00 79 44 78 26 77 09 75 50 .74 3i 73 11 71 52 70 31 69 09 67 47 40 50 81 21 80 05 78 52 77 37 76 22 75 06 73 50 72 33 71 16 69 58 68 39 67 21 50 4 OO 80 23 79 11 78 00 7648 75 35 74 22 73 08 71 54 7° 39 69 24 68 08 66 52 4 00 10 70 26 78 29 78 17 77 08 75 58 74 47 73 36 72 25 71 13 70 01 68 48 67 34 66 21 lO 20 77 23 76 15 75 08 73 59 72 5° 71 41 70 31 69 21 68 10 66 59 65 47 20 30 77 33 76 28 75 23 74 17 73 10 72 03 70 55 69 47 68 40 67 31 66 21 65 12 30 40 76 37 75 33 74 30 73 25 72 20 7i 15 70 09 6q 03 67 57 66 50 65 42 64 35 40 50 75 40 74 38 73 35 72 33 71 30 70 26 69 22 68 18 67 13 66 07 65 02 6356 50 5 00 74 43 73 42 72 41 71 40 7° 37 69 36 68 33 67 30 66 27 65 23 64 19 63 15 5 .00 10 73 46 72 46 71 46 70 46 69 46 68 44 67 43 66 42 65 40 64 38 °3 35 62 32 10 20 72 46 71 48 70 50 69 51 68 51 67 52 66 52 65 51 64 51 63 5° 62 49 61 48 20 30 71 48 7° 50 5§ 53 68 55 68 54 67 5° 6658 66 00 65 00 64 01 63 02 62 02 61 01 30 40 7048 69 51 67 57 67 00 66 03 65 °5 64 07 63 °9 62 10 61 12 60 13 40 50 69 46 68 51 67 55 66 59 66 03 65 06 64 10 63 13 62 16 61 19 60 20 59 23 50 6 OO 68 43 67 49 66 54 65 59 65 03 64 08 63 13 62 17 61 21 60 24 59 27 58 31 6 00 10 67 39 66 46 «5 52 64 57 64 03 63 08 62 14 61 19 60 24 59 28 58 33 57 37 lO 20 66 34 65 41 64 48 63 54 63 01 62 07 61 13 60 20 59 25 58 31 57 36 56 42 20 30 65 28 64 35 63 43 62 50 61 57 61 04 60 11 59 17 58 24 57 3i 56 37 55 43 30 40 64 20 63 27 62 35 61 43 60 51 59 59 59 °7 58 14 57 21 56 30 55 37 54 43 40 50 63 08 62 17 61 26 60 35 59 43 58 52 58 00 57 08 56 17 55 26 54 34 53 42 50 7 00 61 56 61 06 60 15 59 24 58 33 57 43 58 53 56 01 55 11 54 20 53 28 52 37 7 OO 10 60 42 5 ?52 59 02 5f 12 57 21 56 31 55 42 54 51 54 01 53 11 52 21 51 31 10 20 59 25 58 36 57 46 56 57 56 07 55 18 54 29 53 39 52 so 52 01 51 12 5° 23 20 30 58 07 57 17 56 29 55 39 54 51 54 02 53 14 52 25 51 36 50 49 50 00 49 11 30 40 5° 45 55 57 55 09 54 19 53 32 52 44 51 56 51 08 50 20 49 33 48 45 47 58 40 50 55 21 54 33 53 46 52 57 52 10 51 23 50 36 49 48 49 02 48 15 47 28 46 41 SO 8 00 53 54 53 06 52 19 51 32 50 45 49 58 49 I2 48 26 47 40 46 54 46 09 45 23 8 OO 10 52 23 5i 37 50 51 5° °3 49 18 48 32 47 47 47 01 46 16 45 31 44 46 44 01 lO 20 50 5° 50 04 49 18 48 32 47 47 47 02 46 18 45 33 44 49 44 04 43 20 42 37 20 30 49 13 48 27 47 43 4658 46 14 45 29 44 40 44 02 43 18 42 35 41 52 41 09 39 38 / 30 40 47 32 46 48 46 04 45 20 44 3° 43 53 43 " 42 28 41 45 41 04 40 21 / 40 50 45 49 45 04 44 21 43 38 42 56 42 14 41 32 40 51 40 09 39 28 38 48 38 07 50 9 00 44 00 43 18 42 35 41 53 41 11 40 3° 39 50 39 09 38 30 37 49 37 10 36 3° 9 00 10 42 08 41 26 40 45 40 04 39 24 3842 38 04 37 25 36 46 36 08 35 30 34 52 10 20 40 12 39 3i 3?52 38 12 37 32 36 54 36 15 35 38 35 00 34 23 33 46 33 1° 20 30 38 11 37 32 36 54 36 15 35 37 35 00 34 ?3 33 46 33 11 32 34 31 59 31 24 30 40 36 06 35 28 34 51 34 14 33 38 33 °2 32 27 31 52 31 18 30 43 30 10 29 36 40 50 33 57 33 20 32 46 32 10 31 35 31 01 30 27 29 54 29 22 28 49 28 17 27 45 50 10 OO 31 43 31 08 30 34 30 01 29 28 28 56 28 24 27 52 27 22 26 51 26 21 25 51 lO OO lO 29 24 28 52 28 20 27 48 27 17 26 47 26 17 25 48 25 18 24 50 24 21 23 53 10 20 27 01 26 31 26 01 25 32 25 03 24 34 24 07 23 40 23 13 22 46 22 19 21 54 20 30 24 34 24 06 23 38 23 12 22 45 22 19 21 53 21 27 21 03 20 38 20 15 19 51 30 40 22 03 21 37 21 12 20 47 20 23 19 59 19 36 19 13 18 51 18 28 18 07 17 46 40 50 19 27 19 04 18 42 18 19 17 58 17 37 17 17 16 55 16 36 16 16 15 57 15 38 50 11 00 16 48 16 28 16 08 15 49 15 3° 15 " 14 53 14 36 14 18 14 01 13 45 •13 28 11 00 10 14 05 13 48 13 32 13 15 13 00 12 44 12 28 12 13 11 59 11 46 11 31 11 17 10 20 11 20 11 06 10 53 10 39 10 26 10 14 10 02 9 49 9 38 9 26 9 15 ■9 °3 20 30 8 32 8 22 8 12 8 01 7 51 7 42 7 33 7 23 4 5° 7 14 7 06 6 58 6 49 30 40 5 42 5 35 5 28 5 22 5 16 5 09 5 °2 4 5° 4 45 4 38 4-33 40 50 2 52 2 48 2 44 2 41 2 38 2 35 2 31 2 28 2 25 2 22 2 19 ■2 16 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising 01 East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In-South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. •''• When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 122 AZIMUTH OR TRUE BEARING. LATITUDE 29°. DECLINATION— SAME NAME AS— LATITUDE. latitude: 29°. Hour Angle. O 10 11 ia m. oo 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 SO 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 36° 44 36 43 17 4i 54 40 27 3858 37 27 35 52 34 14 32 33 30 50 29 04 27 13 25 21 23 26 21 28 19 27 17 24 15 20 13 12 II 03 I 52 6 41 4 27 2 14 00 37° 00 00 16 07 14 01 2945 26 20 40 08 36 11 47 42 43 43 53 10 49 22 57 09 53 36 60 05 56 49 62 16 59 15 63 53 61 07 65 07 62 32 66 01 6336 66 41 64 26 67 08 65 01 67 26 65 27 67 37 6544 67 40 65 54 67 3» 65 57 67 31 65 54 67 19 65 47 67 06 6536 66 47 65 22 66 26 65 03 66 02 64 42 65 35 64 18 65 07 63 52 64 35 63 23 64 02 62 51 63 27 62 19 62 50 61 43 62 10 61 05 61 29 60 25 60 46 59 43 60 01 59 00 59 14 58 14 58 24 57 26 57 34 56 37 56 41 55 45 55 46 54 5i 54 5" 53 56 53 50 52 57 52 49 51 57 5i 46 5<> 55 5041 49 5i 49 33 4(8 23 48 43 47 34 47 10 46 22 45 55 45 08 43 51 42 31 4i 09 39 44 38 17 3646 35 13 33 37 31 57 30 15 28 30 26 43 24 52 22 58 21 03 19 °4 17 04 15 01 12 55 10 50 8 41 6 32 4 21 38° o 00 12 22 23 3i 32 47 40 09 45 52 5° 17 53 42 56 20 58 24 60 00 61 15 62 13 62 57 63 29 P 5 l 64 06 64 15 64 17 64 14 64 07 6356 63 40 63 22 63 02 62 37 62 10 61 41 61 10 60 36 60 00 59 22 5841 57 59 57 14 56 28 55 4° 54 48 53 56 53 01 52 04 5i "5 50 04 49 00 47 54 46 45 45 35 44 22 43 05 41 47 40 26 39 °3 37 36 36 07 34 34 32 59 31 22 29 41 27 58 26 12 24 23 22 32 20 38 18 42 1643 14 42 12 40 10 37 831 6 24 4 17 o 2 08 o 00 39° o 00 n 02 21 09 29 50 36 57 42 39 47 09 5° 44 53 33 55 47 57 32 5856 60 02 60 52 61 32 62 01 62 20 62 33 62 41 62 41 62 38 62 29 62 17 62 02 61 44 61 21 60 57 60 30 60 00 59 28 58 54 58 17 57 39 56 57 56 13 55 29 54 41 53 5i 53 °o 52 07 51 12 5° 13 49 12 48 09 47 °4 45 57 44 47 43 34 42 20 41 02 39 42 38 20 36 55 35 26 33 55 32 22 30 46 29 07 27 25 25 41 23 54 22 05 20 13 18 19 16 22 14 24 12 24 10 22 8 19 6 15 2 06 o 00 40° o 00 9 55 19 10 27 16 34 °6 39 43 44 15 47 56 5° 5i 53 14 55 °8 56 39 57 52 55 45 58 5° 56 49 59 35 57 4° 60 09 58 19 60 35 58 5° 60 52 59 12 61 03 59 27 61 09 59 36 61 08 59 39 61 03 59 37 60 55 59 3i 60 42 59 21 60 26 60 06 59 43 59 19 58 51 58 20 57 48 57 12 56 35 55 5° 55 14 54 3° 53 44 52 55 52 05 51 12 50 18 49 20 48 21 47 19 46 15 45 08 44 00 42 49 41 35 40 18 38 59 37 38 36 14 34 47 33 18 31 46 30 12 28 33 26 53 25 11 23 26 21 38 19 48 17 56 16 03 14 °7 12 09 10 10 8 10 6 08 4 °5 2 03 o 00 00 00 8 59 8 11 17 27 15 58 25 01 23 02 31 34 29 15 37 °2 34 33 41 33 45 17 48 19 5° 47 52 48 54 26 59 °7 5» 51 58 30 5806 57 4i 57 13 56 42 5608 55 31 54 53 54 12 53 30 52 46 51 58 5i °9 5° 17 49 23 48 27 47 29 46 27 45 25 44 20 43 12 42 01 40 49 39 34 38 16 3656 35 33 34 °8 32 4° 31 09 29 35 28 00 26 22 24 41 22 58 21 12 19 25 .17 35 15 43 13 49 II 53 9 57 8 00 6 00 4 01 2 00 o 00 42° 39 ° 2 4246 45 51 48 25 5° 31 52 15 53 41 54 50 55 46 56 30 57 05 57 31 57 5° 58 03 58 09 58 10 58 07 58 00 57 48 57 34 57 16 56 55 56 31 56 04 55 35 55 °2 54 27 53 51 53 11 52 3° 51 47 51 00 50 12 49 22 48 29 47 34 46 37 45 37 44 35 43 3° 42 24 41 15 40 04 38 49 37 33 36 14 34 52 33 28 32 01 3° 32 29 01 27 27 25 49 24 11 22 30 20 46 19 00 17 13 15 23 13 3i II 39 945 7 49 5 53 3 55 158 o 00 43° 00 7 31 14 41 21 18 27 11 32 18 36 42 40 25 43 32 46 09 48 19 50 08 51 39 52 52 53 54 54 42 55 21 55 52 56 14 56 3° 56 40 56 44 56 44 56 39 56 31 56 18 56 02 55 43 55 21 54 55 54 28 53 57 53 24 5248 52 11 51 3° 50 48 50 °3 49 16 48 27 47 35 46 41 45 45 44 46 43 46 42 42 41 37 40 29 39 18 38 06 36 5° 35 32 34 12 32 49 31 24 29 57 28 27 26 54 25 19 23 42 22 02 20 20 1837 16 51 15 °4 13 14 II 24 9 32 7 39 5 45 3 5° 1 56 o 00 00 6 54 13 33 19 44 25 19 3° 14 34 31 38 n 41 20 43 59 46 12 48 05 49 39 5°58 52 02 52 55 53 39 54 12 54 39 54 58 55 1° 55 18 55 20 55 18 55 11 55 °i 54 47 54 3° 54 1° 53 46 53 20 52 51 52 20 51 46 51 °9 50 30 49 49 49 °5 48 19 47 32 46 41 45 47 44 53 43 55 42 56 41 53 40 49 39 42 38 33 37 22 36 07 34 5° 33 32 32 11 30 46 29 20 27 52 26 21 24 47 23 12 21 35 19 54 18 13 16 30 14 45 12 57 11 10 9 20 7 29 5 37 3 46 1 S3 00 00 6 22 12 33 18 19 23 36 28 21 32 30 36 06 39 13 41 53 44 1° 46 05 47 43 49 °4 5° 13 51 10 51 57 52 33 53 °3 53 26 53 41 53 51 53 56 53 57 53 52 53 44 53 32 53 17 52 58 52 37 52 12 51 45 51 15 5° 43 50 07 49 3° 48 5° 48 07 47 22 46 36 45 46 44 54 44 00 43 °4 42 06 41 04 40 01 38 5° 37 47 36 37 35 24 34 °9 32 51 31 31 30 09 28 44 27 17 2548 24 16 22 42 21 08 19 29 17 5° 16 09 14 25 12 41 1° 54 9 07 7 20 5 3° 3 41 1 5° o 00 46° o 00 5 55 11 39 17 °4 22 04 26 36 3° 37 34 °9 37 13 39 54 42 12 44 °9 45 5° 47 15 48 26 49 27 50 16 5° 56 51 29 51 54 52 12 52 25 52 33 52 35 52 33 52 27 52 17 52 04 5i 47 51 28 51 °4 5° 39 50 10 49 39 49 06 48 29 47 5° 47 09 46 26 45 39 44 51 44 01 43 °8 42 13 41 15 4° 15 39 13 38 09 37 02 35 53 34 42 33 27 32 II 3° 53 29 31 28 08 26 43 25 16 23 45 22 13 20 41 19 04 17 27 15 48 14 06 12 24 10 40 8 55 7 °9 5 23 3 35 47° 00 5 29 10 50 15 56 20 40 24 59 28 52 32 18 35 20 38 00 4018 42 17 43 59 45 27 46 41 47 44 48 37 49 20 49 55 5° 23 5° 44 5° 59 51 °9 51 14 51 14 51 i° 51 °3 5° 5° 5° 35 5° 17 49 56 49 3i 49 °4 48 35 48 03 47 28 46 50 46 10 45 28 44 43 43 57 43 °7 42 15 41 21 40 24 39 26 38 26 37 22 36 16 35 08 33 58 32 46 31 31 3° 13 28 54 27 33 26 09 24 44 23 15 21 45 20 13 18 39 17 °4 15 26 13 48 12 07 10 26 8 43 6 59 5 15 3 3° 1 45 00 Hour Angle. li. O 12 TO. 00 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 SO 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West, When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 123 AZIMUTH OR TRUE BEARING. LATITUDE 29°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 29°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. It. in. o 1 / / / / / / 1 / / 1 ,; / li. 111. 00 O 00 00 00 00 00 00 00 p 00 00 00 00 00 O 00 10 5 07 4 47 4 28 4 II 3 55 748 3 42 3 28 3 15 3 °4 2 53 2 44 5 26 2 34 10 20 30 io 07 9 27 851 8 19 7 19 6 54 6 30 6 07 5 07 20 H 54 13 57 13 °5 17 06 12 18 II 33 15 08 10 52 10 14 9 38 9 06 8 34 8 05 7 37 30 40 19 22 18 11 16 04 14 16 13 27 12 41 11 58 11 18 10 40 10 04 40 50 23 3° 22 07 20 50 19 38 18 31 17 29 16 31 15 36 14 44 13 55 13 09 12 26 50 1 00 27 13 25 41 24 16 22 56 21 40 20 29 19 24 18 20 17 20 16 25 15 32 14 41 1 00 10 30 34 28 57 27 25 25 58 24 36 23 18 22 05 20 55 19 49 22 08 18 46 17 47 16 51 IO 20 30 33 33 31 51 30 115 2843 27 15 25 52 24 35 23 19 20 59 19 55 18 53 20 36 11 34 26 36 43 32 47 31 12 29 4° 28 14 26 52 25 32 24 16 26 15 23 °3 21 54 20 47 30 40 38 28 35 °2 33 25 31 51 3° 23 2857 27 34 24 59 23 45 25 28 22 35 40 50 40 27 38 43 37 °i 35 23 33 48 32 18 30 50 29 25 28 03 26 43 24 14 50 2 00 42 12 40 28 38 47 37 09 38 41 35 33 3402 32 32 31 °5 29 41 28 21 27 03 25 46 2 00 10 43 42 41 58 40 18 37 05 35 33 34 04 32 36 31 11 29 48 28 28 27 10 10 20 44 58 43 17 41 38 40 02 38 27 3° 55 35 25 33 57 32 31 31 °7 29 47 28 27 20 30 40 46 03 44 25 42 48 41 12 39 38 38 06 36 37 35 1° 33 43 32 19 3° 57 29 37 30 46 59 45 21 43 46 42 12 40 40 39 10 37 40 36 13 34 47 33 23 32 00 30 40 40 50 47 45 46 10 44 37 43 °5 41 33 40 04 3836 37 °9 35 44 34 20 32 58 31 36 50 3 00 48 22 46 49 45 19 43 48 42 19 4° 51 39 24 37 58 36 33 35 °9 33 47 32 26 3 OO IO 48 53 47 23 45 54 44 24 42 57 41 3° 40 05 38 4° 37 16 35 53 34 31 33 1° 10 20 49 16 47 48 46 22 44 55 43 29 42 04 4° 39 39 16 37 52 36 3° 35 °9 33 48 20 30 49 34 48 07 46 43 45 18 43 54 42 31 41 08 39 45 38 23 37 °2 35 42 34 21 30 40 49 46 48 22 46 59 45 36 44 14 42 52 41 3° 40 09 40 28 3848 37 28 36 08 34 49 40 50 49 52 48 31 47 " 45 49 44 28 43 08 41 48 39 °9 37 50 36 31 35 13 SO 4 OO 49 55 48 35 47 16 45 57 44 38 43 19 42 01 40 42 39 24 38 06 36 49 35 31 4 OO 10 49 53 48 35 47 18 46 00 44 43 43 26 42 09 40 52 39 35 38 18 37 °2 35 45 10 20 49 47 48 31 47 16 46 00 44 45 43 29 42 13 4° 57 39 41 38 26 37 11 35 56 20 30 49 37 48 24 47 1° 45 55 44 41 43 28 42 13 4° 59 39 45 38 30 37 16 3602 30 40 49 24 48' 12 47 °° 45 47 44 35 43 22 42 09 40 56 39 43 38 31 37 18 36 04 40 50 49 07 47 57 46 47 45 35 44 24 43 13 42 02 40 50 39 38 38 27 37 15 36 04 SO 5 00 48 48 47 39 46 30 45 20 44 II 43 01 41 51 40 41 39 31 38 20 37 1° 35 59 5 00 10 48 25 47 18 46 10 45 °2 43 54 42 45 41 37 40 28 39 19 38 10 37 oi 35 5i 10 20 47 59 46 53 45 48 44 41 43 34 42 27 41 20 1 4° 13 39 °4 37 57 36 49 35 41 20 30 47 31 46 26 45 22 44 17 43 11 42 06 41 00 39 53 3848 37 41 36 34 35 27 30 40 46 59 45 56 44 53 43 5° 42 46 41 41 4° 37 39 32 38 27 37 22 36 17 35 10 40 50 46 26 45 25 44 22 43 20 42 18 41 15 40 11 39 °8 38 04 37 °° 35 56 34 5i 50 6 OO 45 5° 44 49 43 49 42 48 41 46 40 45, 39 43 .3841 37 38 4% 36 32 34 29 6 00 IO 45 11 44 12 43 13 42 13 41 13 4" 13 39 12 38 11 37 °9 3«°8 35 07 34 05 10 20 44 31 43 33 42 34 4i 36 4° 37 39 38 3839 37 39 3° 39 35 39 34 38 33 37 20 30 43 47 42 50 41 53 40 56 39 58 39 01 38 03 37 04 36 06 35 °6 34 08 33 08 30 40 43 00 42 °5 41 10 40 14 39 17 38 21 37 24 36 27 35 29 34 32 33 34 32 36 40 50 42 13 41 18 40 24 39 29 38 34 37 39 36 44 35 48 34 51 33 55 32 59 32 02 50 7 00 41 22 40 29 39 36 38 42 37 48 36 55 36 00 • 35 °5 34 1° 33 16 32 21 31 25 7 OO 10 40 30 39 38 38 46 37 54 37 °° 36 08 35 14 34 21 33 28 32 34 31 41 30 47 10 20 39 34 38 43 37 53 37 °2 36 11 35 19 34 27 33 35 32 43 31 51 30 59 30 06 20 30 38 37 37 47 3658 36 07 35 18 34 28 33 37 32 47 31 56 31 °5 30 14 29 22 30 40 37 37 36 49 36 01 35 12 34 23 33 35 32 45 31 56 31 °7 30 17 29 28 28 37, 40 50 36 35 35 48 35 01 34 13 33 26 32 39 31 51 31 °3 3° 15 29 27 28 39 27 50 50 8 OO 35 30 34 45 33 59 33 13 32 27 31 41 30 55 30 08 29 21 2835 27 48 27 01 8 OO 10 34 24 33 40 32 55 32 10 31 26 3° 41 29 56 29 11 28 27 27 4i 2656 20 10 IO 20 33 15 32 32 31 49 31 06 3° 23 29 39 28 56 28 13 27 28 26 45 26 02 25 18 20 30 32 04 31 23 30 40 29 59 29 17 28 36 27 53 27 12 26 29 25 47 25 05 24 22 30 40 30 51 30 10 29 30 28 50 28 10 27 3° 26 50 26 09 25 28 24 48 24 07 23 26 40 50 29 35 28 56 28 18 27 39 27 00 26 21 25 42 25 04 24 25 23 46 23 07 22 27 50 9 OO 28 17 27 40 27 03 26 26 25 48 25 11 24 35 23 57 23 20 22 43 22 05 21 28 9 OO IO 26 57 26 21 25 46 25 10 24 35 23 59 23 24 22 48 22 13 21 37 21 OI 20 26 IO 20 25 35 25 oi 24 27 23 53 23 20 22 45 22 12 21 38 21 04 20 31 19 57 19 23 20 30 24 11 23 39 23 06 22 34 22 02 21 3° 2058 20 26 19 54 19 23 18 50 18 18 30 40 22 45 22 14 21 44 21 13 20 43 20 13 19 43 19 13 18 42 18 12 17 42 17 12 40 50 21 16 20 48 20 18 19 51 19 23 18 55 18 25 17 57 17 29 17 01 16 32 16 05 SO io 00 19 46 19 19 18 53 18 26 18 00 17 34 17 07 16 41 16 14 15 48 15 22 14 56 10 00 10 18 14 17 49 17 25 17 00 16 3° 16 12 15 47 15 23 14 58 14 34 14 09 13 45 IO 20 16 40 16 18 15 55 15 32 15 1° 14 48 14 25 14 °4 13 4i 13 18 12 56 12 34 20 30 15 06 14 45 14 25 14 °4 13 44 13 23 13 °3 12 42 12 23 12 02 11 42 II 22 30 40 13 29 13 11 12 52 12 33 12 15 11 57 11 39 11 21 11 02 10 45 10 27 10 08 40 50 11 50 11 35 11 18 II 02 10 46 10 30 10 14 9 58 9 42 9 26 9 11 8 55 50 11 OO 10 12 9 57 9 43 9 29 9 15 9 01 8 48 8 34 8 21 8 06 7 53 7 39 11 OO 10 8 32 8 20 8 08 7 56 7 44 7 32 7 21 7 10 6 58 6 46 6 35 6 24 10 20 651 6 41 631 6 22 6 12 6 03 5 54 5 45 5 36 5 27 5 17 5 08 20 30 5 09 501 4 54 4 47 4 40 4 33 4 26 4 19 4 12 4 °5 3 58 3 51 30 40 3 25 3 20 3 17 3 12 3 °7 3 °2 2 58 2 53 2 49 2 43 2 39 2 34 40 50 1 43 I 40 1 38 1 36 I 33 1 31 I 28 1 26 1 24 1 22 1 19 1 17 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 124 AZIMUTH OR TRUE BEARING. LATITUDE 29°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 29°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o t / / / / / / / / / / n. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 10 2 25 2 17 2 09 2 02 1 55 1 48 1 42 1 35 1 29 1 24 1 18 10 20 4 5° 4 34 4 17 4 02 3 48 3 35 3 22 3 10 2 58 2 47 2 36 20 30 7 " 6 47 6 24 6 02 5 41 5 21 5 °2 4 43 4 26 4 °9 3 53 30 40 9 3° 858 8 28 7 59 7 32 7 05 6 40 6 16 5 52 5 3° 5 °9 40 50 il 45 11 06 10 29 9 52 9 18 8 46 8 16 7 46 718 6 50 6 24 50 1 00 13 53 13 °8 12 24 11 43 11 03 10 25 9 48 9 14 8 41 8 08 7 37 1 00 10 15 57 15 °5 14 16 13 29 12 44 12 01 11 20 10 39 10 01 9 24 8 49 10 20 17 53 1° 57 16 03 15 11 14 21 13 33 12 47 12 02 11 18 10 37 9 57 20 30 19 44 18 42 17 44 16 47 15 53 15 °° 14 10 13 21 12 34 11 48 11 05 30 40 21 27 20 22 19 19 18 19 17 21 16 23 15 29 14 37 13 45 12 56 12109 40 50 23 °3 21 55 20 49 19 44 18 42 17 43 16 45 15 49 14 54 14 01 13 1° 50 2 00 24 32 23 22 22 13 2i 05 20 01 18 57 17 5° 1658 16 00 15 03 14 °9 2 OO 10 25 55 24 41 23 3° 22 20 21 13 20 07 19 03 18 01 17 01 16 01 15 04 10 20 27 10 25 54 24 41 23 29 22 20 21 12 20 06 19 02 17 59 10 57 15 58 20 30 28 18 27 02 25 48 24 34 23 22 22 12 21 04 19 58 18 53 17 49 1647 30 40 29 20 28 02 26 47 25 22 24 19 23 09 21 59 20 50 19 43 1837 17 33 40 50 30 16 2858 27 41 26 26 25 12 23 59 22 48 21 38 20 30 19 22 18 17 50 3 00 31 06 29 47 28 31 27 15 26 00 24 46 23 34 22 23 21 13 20 04 18 57 3 OO 10 31 50 3° 32 29 14 27 58 26 43 25 28 24 15 23 °3 21 52 20 42 19 34 10 20 32 29 31 11 29 53 28 36 27 20 26 06 24 52 23 39 22 28 21 17 20 07 20 30 33 °2 31 44 30 27 29 11 27 55 •26 40 25 26 24 12 23 OO 21 48 20 38 30 40 33 31 32 14 3° 57 29 40 28 24 27 09 25 55 24 41 23 28 22 16 21 05 40 50 33 55 32 38 31 21 30 05 28 50 27 35 26 20 25 06 23 53 22 41 21 30 50 4 00 34 14 32 57 31 42 30 27 29 11 27 5° 26 42 25 29 24 15 23 02 21 51 4 00 IO 34 29 33 13 31 58 3° 44 29 28 28 14 27 01 25 47 24 33 23 21 22 09 IO 20 34 4° 33 26 32 12 3° 57 29 43 28 29 27 15 26 02 24 49 23 3° 22 24 20 30 34 48 33 34 32 20 31 °7 29 53 28 40 27 27 26 14 25 01 23 49 22 38 30 40 34 52 33 39 32 26 31 13 30 00 28 48 27 3° 26 23 25 11 23 59 22 47 40 50 34 52 33 40 32 29 31 16 30 04 28 52 27 4° 26 29 25 16 24 °5 22 55 50 5 00 34 48 33 37 32 27 31 16 30 05 2853 27 43 26 31 25 20 24 09 22 59 5 OO 10 34 41 33 32 32 23 31 13 30 03 28 52 27 42 26 32 25 21 24 11 23 01 10 20 34 32 33 24 32 16 31 06 29 57 28 48 27 39 26 30 25 19 24 10 23 00 20 30 34 20 33 12 32 05 30 57 29 49 28 41 27 33 26 24 25 16 24 06 22 58 30 40 34 °5 32 59 31 52 3° 45 29 38 28 31 27 24 26 16 25 08 24 01 22 53 40 50 33 4° 32 42 31 37 30 31 29 25 28 19 27 13 26 06 24 59 23 52 22 45 50 6 00 33 26 32 22 31 18 3° 14 29 08 28 03 26 58 25 53 24 48 23 42 22 36 6 00 10 33 02 31 59 3° 57 29 54 28 51 27 47 26 43 25 39 24 34 23 29 22 24 IO 20 32 36 31 36 3° 34 29 32 28 29 27 27 26 25 25 21 24 17 23 14 22 10 20 30 32 08 31 08 30 08 29 08 28 06 27 °5 26 04 25 02 23 59 23 38 22 57 21 54 30 40 31 38 30 38 29 39 28 40 27 4° 26 41 25 41 24 40 22 37 21 36 40 50 31 °5 30 07 29 09 28 11 27 13 26 15 25 16 24 16 23 1° 22 16 21 17 50 7 00 30 29 29 33 2837 27 40 26 43 25 4° 24 49 23 51 22 52 21 53 2° 54 7 OO 10 29 51 28 57 28 02 27 07 26 II 25 15 24 20 23 23 22 26 21 28 20 31 IO 20 29 12 28 19 27 26 26 32 25 38 24 43 23 49 22 53 21 57 21 02 20 06 20 30 28 31 27 39 26 47 25 55 25 °2 24 08 23 16 22 22 21 27 20 33 19 39 30 40 27 47 26 57 26 07 25 16 24 24 23 33 22 41 21 49 20 55 20 02 19 10 40 50 27 01 26 12 25 24 24 34 23 44 22 54 22 04 21 13 20 22 19 30 18 40 50 8 00 26 14 25 26 24 39 23 51 23 °3 22 14 * 21 26 20 37 19 47 18 57 18 07 8 00 10 25 24 24 39 23 53 23 06 22 19 21 32 20 46 19 58 19 10 18 22 17 34 10 20 24 33 23 49 23 04 22 20 21 34 20 50 20 05 19 18 18 32 17 46 1° 59 20 30 23 40 22 57 22 15 21 32 20 48 20 04 19 21 ■8 37 17 52 17 08 16 23 30 40 22 47 22 04 21 23 20 42 20 00 19 18 18 37 17 54 17 11 16 28 15 4° 40 50 21 49 21 09 20 29 19 49 19 ro 18 30 17 5° 17 10 16 29 15 48 15 °7 50 » 00 20 50 20 13 19 35 1857 18 19 17 41 17 02 16 23 15 45 15 °6 14 27 9 OO 10 19 51 19 15 18 39 18 02 17 27 16 50 16 14 15 3° 14 59 14 22 13 45 IO 20 18 49 18 15 17 41 17 06 16 32 15 58 15 24 14 49 14 14 13 38 •13 t>3 20 30 17 46 17 14 16 42 16 09 15 37 15 °4 14 31 13 59 13 26 12 53 12 20 30 40 16 42 16 12 15 41 15 11 14 4i ' 14 10 13 4° 13 °8 12 37 12 06 11 35 40 50 15 3° 15 08 14 4° 14 11 13 43 13 15 12 45 12 17 11 48 11 18 10 49 50 io OO 14 29 14 °3 13 37 13 10 12 43 12 18 11 5i II 24 10 57 10 30 10 03 IO OO 10 13 21 12 57 12 32 12 08 11 44 II 19 10 55 10 31 10 15 9 41 1 IS , IO 20 12 12 11 5° II 28 11 05 1° 43 10 21 9 58 9 36 9 13 8 50 8 28 20 30 11 02 10 42 10' 22, 10 02 9 41 9 21 9 01 8 40 8 20 8 00 7 39 30 40 9 50 9 33 9 15 856 » 39 8 21 8 03 7 45 7 26 7 08 6 49 40 50 8 39 8 23 8 07 7 52 7 35 7 20 7 °4 6 48 6 32 6 16 5 59 50 11 00 7 26 7 13 6 59 6 46 6 32 6 18 6 05 5 50 5 36 5 22 5 °9 11 OO 10 6 12 6 01 5 5i 5 39 5 28 5 1° 5 04 4 53 4 42 4 3° 4 18 10 20 4 59 4 5° 4 41 4 31 4 23 4 14 404 3 55 3 4° 3 36 3 27 20 30 3 45 3 37 3 31 3 24 3 17 3 10 3 03 2 56 2 5° 2 43 2 3° 30. 40 2 30 2 26 2 21 2 16 2 11 2 07 2 03 158 1 53 I 49 1 44 40 50 1 15 1 13 1 11 1 08 1 06 I 04 I 01 58 56 54 52 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising^ or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 125 AZIMUTH OR TRUE BEARING. LATITUDE 30°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 30°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 3-1° 32° 33° -34° 35° Hoar Angle- b. in. o / / / / / / / 1 / / / / li. in. OO 180 oo 180 00 180 00 180 00 180 00 180 00 00 00 00 00 00 00 lO 159 03 155 29 150 31 143 10 131 51 114 °3 89 22 64 28 46 20 63 43 34 46 27 16 22 12 10 20 142 15 137 05 130 58 123 06 113 21 101 42 8845 75 40 53 35 45 22 38 49 20 30 130 10 125 09 119 20 112 38 105 07 96 51 88 07 79 19 70 48 62 56 55 54 49 42 30 40 121 35 117 01 in 58 106 24 100 25 94 04 87 30 8051 74 19 68 03 62 10 56 43 40 50 115 21 in 17 106 54 102 13 97 18 92 09 8652 81 33 76 14 71 04 66 05 61 21 50 1 00 no 38 107 00 103 n 99 09 94 58 90 38 86 14 81 47 77 19 72 56 6838 64 30 1 OO 10 106 53 103 39 100 16 9° 45 93 °7 89 24 85 36 81 46 77 56 74 °7 70 22 66 42 10 20 i°3 4-9 i°° 55 97 54 94 46 91 34 88 17 8458 8136 78 14 74 5i 7i 32 68 14 20 30 101 17 98 38 95 54 93 0° 90 13 87 17 84 19 81 19 78 18 75 18 72 18 69 19 30 40 99 °5 9° 39 94 09 92 3° 9 1 37 89 01 86 21 83 40 8058 78 14 75 30 72 47 70 04 40 50 97 °9 94 55 90 16 87 54 8529 83 01 8° 33 78 04 75 34 73 °3 7° 34 50 2 00 95 25 93 20 91 12 89 55 89 04 8652 84 38 82 22 80 05 77 47 75 3° 73 n 70 53 2 00 10 93 51 91 55 87 55 8552 83 48 81 42 79 3° 77 28 75 19 73 11 71 01 lO 20 92 24 90 35 88 43 86 50 84 55 83 00 81 02 79 04 77 °5 75 05 73 °5 71 04 20 30 91 03 89 20 88 09 87 35 85 49 84 01 82 13 80 22 78 30 76 39 74 46 72 53 70 59 30 40 89 46 8834 86 30 84 50 83 07 81 25 79 41 77 56 76 11 74 25 72 38 70 50 40 SO 87 01 85 27 8352 82 15 80 39 79 00 77 20 75 40 74 00 72 19 70 36 50 3 00 87 24 85 56 84 26 82 56 81 25 79 51 78 18 76 44 75 °8 73 33 71 57 70 20 3 OO lO 86 17 84 53 83 27 82 00 80 33 79 °4 77 35 76 06 74 35 73 04 71 31 69 59 lO 20 85 13 83 51 82 30 81 06 79 42 78 18 76 52 75 26 74 00 72 32 7i °4 °9 35 20 * 30 84 10 82 52 81 32 80 12 78 52 77 31 76 09 74 46 73 23 7i 59 7° 35 69 10 30 40 83 °7 81 52 80 36 79 19 78 02 76 43 75 25 74 05 72 45 7i 25 70 03 68 42 40 50 82 07 8° 53 79 40 7825 77 n 75 56 74 40 73 23 72 05 7048 69 30 68 II 50 4 OO 81 07 79 5° 78 45 77 33 76 21 75 08 73 54 72 40 71 25 70 10 6854 67 38 4 00 10 80 07 78 58 77 49 76 40 75 29 74 19 73 07 7i 56 70 43 69 30 68 17 67 04 lO 20 79 °7 78 01 76 53 75 46 74 38 73 29 72 20 71 10 70 00 68 50 67 38 66 27 20 30 7807 77 03 75 57 74 52 73 46 72 39 71 31 70 24 69 15 68 07 66 58 IfS 30 40 77 °9 76 05 75 02 73 57 72 53 71 48 70 42 69 36 68 30 67 23 66 16 40 50 76 09 75 °7 74 05 73 03 72 00 70 56 69 52 68 48 67 44 6638 65 32 64 27 50 5 00 75 09 74 08 73 08 72 06 7i 04 70 03 69 00 6758 66 55 65 52 64 48 63 44 5 00 10 74 °° 73 °9 72 09 71 10 70 09 69 09 68 08 67 07 66 05 65 04 64 01 62 58 10 20 73 07 72 09 71 11 70 12 6913 68 14 67 14 66 15 65 15 64 13 63 12 62 11 20 30 72 06 71 09 70 11 69 14 68 16 67 18 66 19 65 20 64 21 63 23 62 23 61 22 30 40 71 03 70 07 69 10 68 14 67 17 66 21 65 23 64 25 63 28 62 29 6l 31 60 32 40 50 70 00 69 04 68 09 67 14 66 18 65 22 °4 25 63 29 62 32 61 35 60 37 59 4° SO 6 00 6855 68 01 67 06 66 11 65 17 64 21 63 26 62 30 61 35 60 39 59 43 5846 6 OO 10 67 49 6656 66 02 65 08 64 14 63 20 62 25 61 31 60 36 59 41 5846 57 50 10 20 66 42 65 49 6456 64 03 63 10 62 17 61 23 60 29 59 36 5841 57 47 5° 53 20 30 65 33 6441 63 48 62 57 62 04 61 n 60 19 59 25 58 33 57 39 56 46 55 53 30 40 64 22 °3 31 62 39 61 48 60 56 60 o<* 59 13 58 20 57 28 56 36 55 43 54 52 40 50 63 10 62 20 61 29 60 38 59 47 5856 58 05 57 13 56 22 55 3i 54 39 53 48 50 7 00 61 56 61 06 60 15 59 26 5836 57 45 5° 55 56 04 55 14 5+ 23 53 32 52 43 7 OO 10 60 40 59 5° 59 oi 58 11 57 21 56 33 55 42 54 52 54 04 53 14 52 23 51 34 10 20 59 21 58 32 57 43 56 55 56 06 55 17 54 28 53 40 52 51 52 02 51 13 50 24 20 30 5801 57 13 5° 24 55 3° 54 48 54 00 53 II 52 24 51 35 50 47 49 59 49 11 30 40 5° 39 55 50 55 03 54 15 53 27 52 4° 51 52 51 05 50 18 49 31 48 44 47 57 40 50 55 12 54 25 53 37 52 51 52 04 51 18 50 31 49 44 48 59 48 12 47 25 46 39 50 8 00 53 43 52 57 52 10 51 24 5°38 49 52 49 06 48 21 47 35 46 50 46 04 45 19 8 OO lO 52 12 51 26 50 40 49 55 49 1° 48 25 47 39 46 55 46 10 45 25 44 41 43 5° lO 20 50 37 49 52 49 07 48 22 47 38 46 54 46 09 45 26 44 42 43 58 43 14 42 31 20 30 49 °° 48 15 47 3° 46 46 46 03 45 20 44 36 43 54 43 11 42 28 41 45 41 °3 30 40 47,i8 46 34 45 50 45 08 44 25 43 43 43 00 42 19 41 36 40 56 40 14 39 33 40 50 45 33 44 5° 44 08 43 25 42 43 42 02 41 21 40 40 39 59 39 20 38 39 38 00 50 9 OO 43 44 43 °2 42 20 41 39 40 58 40 18 39 38 38 59 3? 19 37 40 37 01 36 22 ' 9 OO 10 41 51 41 11 40 30 39 50 39 11 38 31 37 52 37 13 36 36 35 58 35 20 34 43 10 20 39 54 39 15 3?35 37 57 37 18 36 41 36 03 35 26 34 50 34 13 33 37 33 01 20 30 37 53 37 15 3° 37 36 00 35 23 34 47 34 10 33 34 32 5? 32 24 31 50 31 16 30 40 35 49 35 " 34 35 33 59 33 24 32 49 32 14 31 40 31 06 30 33 29 59 29 27 40 50 33 39 33 °3 32 29 3t 55 31 20 30 47 30 14 29 42 29 10 28 38 28 07 27 35 50 lO OO 31 25 30 5i 30 18 29 4° 29 13 28 42 28 11 27 41 27 10 26 41 26 n 25 41 10 00 10 29 07 28 35 28 04 27 33 27 03 26 33 26 04 25 35 25 07 24 39 24 11 23 44 10 20 26 45 26 15 25 46 25 18 24 50 24 23 23 55 23 28 23 01 22 36 22 10 21 45 20 30 24 18 23 51 23 24 22 58 22 32 22 07 21 42 21 17 20 53 20 29 20 06 19 43 30 40 21 47 21 23 20 58 20 34 20 II 19 48 19 25 19 03 18 42 18 20 17 59 17 38 40 50 19 13 18 51 18 29 18 08 1748 17 27 17 °7 16 47 16 27 16 09 15 49 15 31 50 11 00 1636 16 16 15 57 15 38 15 20 15 °3 14 45 14 27 14 11 13 54 13 38 13 22 11 OO 10 13 55 13 39 13 22 13 06 12 52 12 36 12 21 12 07 11 52 n 38 11 24 11 12 10 20 n 12 1058 1° 45 10 32 10 20 10 08 9 56 9 44 9 32 9 21 9 10 8 58 20 30 8 25 8 15 8 06 7 56 7 47 7 37 7 28 7 19 7 10 7 02 6 54 6 45 30 40 5 3° 5 31 5 25 5 18 5 12 5 06 4 59 4 53 4 48 4 42 4 37 4 31 40 50 2 49 2 46 2 43 2 39 2 37 2 33 2 30 2 27 2 24 2 22 2 18 2 15 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 126 AZIMUTH OR TRUE BEARING. LATITUDE 30°. DECWNATION- -SAME NAME AS— LATITUDE. 1.AXITTJBK 30°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. O l / / / / / / / / / / / li. in. oo O 00 00 00 00 00 00 00 00 00 00 00 00 00 io 1836 15 54 29 26 13 5° 12 12 1° 53 946 851 8 03 7 23 6 47 6 16 5 48 10 20 33 37 26 01 23 13 20 53 29 28 18 53 17 11 15 43 14 27 13 20 12 20 11 27 20 30 44 21 39 45 35 49 32 25 26 55 24 41 22 42 20 57 19 25 18 01 16 46 30 40 51 46 47 1? 43 18 48 57 39 44 45 26 36 33 33 42 31 09 28 51 26 48 24 56 23 14 21 42 40 60 56 55 52 46 42 13 39 17 36 35 34 °7 31 52 2948 27 54 26 09 SO 1 00 60 32 56 45 53 12 49 51 46 43 43 47 41 °5 4448 38 34 36 13 34 °3 32 01 30 08 1 OO 10 63 08 59 42 56 24 53 16 5° 17 47 27 42 17 39 55 37 42 35 36 33 39 IO 20 65 01 61 53 585° 55 55 53 06 5° 24 47 49 45 21 43 °i 40 48 38 42 36 42 20 30 66 23 63 31 60 42 57 59 55 20 5246 50 18 47 54 45 37 43 27 41 21 39 21 30 40 67 23 64 45 62 08 59 35 57 °5 54 40 52 18 5° 01 47 49 45 41 43 36 4i 37 40 50 68 06 °5 38 63 12 60 49 58 29 56 11 53 56 51 45 49 37 47 32 45 31 43 35 SO 2 00 68 34 66 17 64 01 61 48 59 35 57 24 55 16 53 1° 51 °6 49 °6 47 09 45 15 2 OO 10 68 53 66 45 64 37 62 31 60 25 58 21 56 20 54 19 52 21 50 24 48 31 46 39 10 20 6903 67 03 65 03 63 °3 61 04 59 oft 57 1° 55 15 53 21 5i 3° 49 39 47 51 20 30 69 06 67 12 65 18 °3 25 61 32 59 4° 57 49 55 59 54 1° 52 23 5° 36 48 5° 30 40 69 02 67 15 65 27 63 40 61 52 60 06 58 20 56 33 54 48 53 °5 51 22 49 4° 40 50 68 55 67 12 65 29 6348 62 05 60 22 58 4° 56 59 55 18 53 38 5i 57 50 21 50 3 OO 68 42 6705 65 27 63 49 62 11 60 33 5856 57 17 55 4° 54 °4 52 28 5° 52 3 OO 10 68 26 66 52 65 19 63 46 62 12 60 37 59 °3 57 29 55 56 54 23 52 50 51 17 10 20 68 07 6637 65 07 63 38 62 07 60 37 59 °6 57 36 56 06 54 35 53 °5 5i 36 20 30 67 44 66 18 64 52 6326 61 59 60 31 59 °4 57 37 56 09 54 42 53 13 51 48 30 40 67 19 65 5° 64 33 63 10 61 46 60 21 5858 57 33 56 09 54 45 53 19 5i 55 40 50 66 49 65 31 64 11 62 50 61 30 60 08 58 47 57 25 56 °3 54 4i 53 19 51 57 50~ 4 OO 66 21 65 04 63 46 62 29 61 10 59 5i 58 33 57 13 55 55 54 35 53 15 51 55 4 00 10 65 49 64 34 63 19 62 04 6047 59 3i 58 15 5658 55 41 54 24 53 °S 51 49 10 . 20 65 14 64 03 62 50 61 36 60 22 59 °9 57 54 56 39 55 25 54 °9 52 54 51 38 20 30 64 39 63 28 62 17 61 06 59 54 5§ 42 57 3° 56 18 55 °5 53 52 52 39 51 25 30 40 64 00 62 52 61 43 60 34 59 25 58 14 57 °4 55 53 54 42 53 31 52 19 51 °7 40 50 63 20 62 14 61 06 59 59 58 52 57 43 56 34 55 26 54 16 53 °7 51 57 5° 47 50 5 00 62 38 61 33 60 28 59 23 58 16 57 1° 56 03 54 56 53 48 52 41 51 32 5° 23 5 OO IO 61 55 60 51 59 47 58 43 57 38 56 33 55 28 \54 23 53 17 52 11 51 °4 49 57 10 20 61 10 60 08 59 04 5803 56 59 55 56 54 52 53 48 52 44 51 39 5° 34 49 29 20 30 60 22 59 22 5§34 58 20 57 19 56 17 55 15 54 13 53 II 52 08 51 °5 50 01 48 57 30 40 59 33 57 33 56 34 55 34 54 33 53 32 52 31 51 29 5° 27 49 25 48 23 40 50 58 42 57 44 56 46 55 47 54 47 53 48 52 49 51 49 5048 49 49 48 48 47 46 50 6 00 57 5° 56 52 55 54 54 58 54 °° 53 °l 52 °3 51 °4 50 05 49 06 48 07 47 07 6 OO 10 56 55 55 58 55 °3 54 °8 54 °7 53 °9 52 12 51 15 50 18 49 20 48 23 47 24 46 25 10 20 55 59 55 °4 54 °6 53 13 52 17 51 22 50 26 49 3° 48 33 47 37 46 39 45 42 20 30 54 59 53 12 52 18 51 23 5028 49 33 48 39 47 44 46 47 45 52 44 56 30 40 53 59 53 °6 52 13 51 20 50 26 49 32 48 39 47 46 46 51 45 57 45 °2 44 °8 40 50 52 56 52 04 51 12 50 21 49 28 48 35 47 43 46 50 45 57 45 °4 44 11 43 17 50 7 00 51 52 51 00 50 09 49 18 48 27 47 35 46 44 45 52 45 °0 44 08 43 16 42 24 7 OO 10 50 44 49 55 49 °4 48 14 47 23 46 33 45 43 44 52 44 °2 43 11 42 19 41 28 10 20 49 35 48 46 47 57 47 °8 46 18 45 29 44 4° 43 5° 43 °l 42 11 41 21 40 31 20 30 48 24 47 35 46 47 46 00 45 11 44 22 43 34 42 45 41 58 41 °9 40 20 39 31 30 40 47 09 46 23 45 35 44 49 44 °i 43 14 42 27 41 39 4° 52 40 05 39 17 38 29 40 50 45 53 45 °7 44 21 43 35 42 48 42 03 41 16 40 30 39 45 3858 38 12 37 25 50 8 00 44 34 43 49 43 °3 42 19 4i 34 40 49 40 04 39 19 3834 3 2 4 l 37 °4 36 19 8 OO 10 43 12 42 29 41 44 41 01 40 17 39 32 38 49 38 °5 37 22 3638 35 54 35 1° IO 20 41 48 41 °5 40 23 39 4° 38 57 38 15 37 31 36 49 36 06 35 24 34 42 33 59 20 30 40 21 39 4° 38 57 , 3» 17 37 35 36 53 36 12 35 3i 34 49 34 °8 33 26 32 46 30 40 ■ 3852 38 12 37 3° 36 5° 36 10 35 29 34 5° 34 1° 33 3° 32 5° 32 11 31 3° 40 50 37 20 36 40 36 01 35 22 34 42 34 °3 33 25 324° 32 07 31 3° 30 51 30 13 50 9 00 35 44 35 °° 34 27 33 5° 33 13 32 34 31 57 31 21 3° 43 30 06 29 30 2853 9 00 10 34 06 33 29 32 53 32 17 31 4° 31 °4 30 28 29 52 29 16 28 41 28 06 27 31 IO 20 32 25 31 49 JI 15 30 40 3° °5 29 3i 28 56 28 22 2748 27 14 26 40 26 07 20 30 30 41 30 07 29 34 29 01 28 27 27 55 27 21 26 49 26 17 25 44 25 12 24 40 30 40 28 54 28 22 27 50 27 19 26 47 26 15 25 45 25 13 24 43 24 13 23 43 23 12 40 50 27 04 26 35 26 04 25 35 25 04 24 35 24 06 23 37 23 08 22 39 22 10 21 42 50 10 00 25 13 24 44 24 15 23 47 23 19 22 52 22 24 21 57 21 30 21 04 20 36 20 10 10 00 10 23 18 22 50 22 24 21 58 21 32 21 06 20 40 20 16 19 5° 19 26 19 01 18 36 IO 20 21 20 20 55 20 31 20 06 19 43 19 18 1856 18 32 18 09 17 46 17 23 17 00 20 30 19 19 18 57 18 34 18 13 17 5° 17 29 17 08 1647 16 26 16 05 15 44 15 23 30 40 17 17 16 57 1636 16 17 15 57 15 38 15 19 15 °° 14 41 14 21 14 °3 13 45 40 50 15 13 14 54 14 36 14 20 14 02 13 45 13 28 13 1° 12 54 12 38 12 21 12 05 50 11 00 13 06 12 50 12 35 12 20 12 05 11 50 11 35 II 20 11 06 10 52 10 37 10 24 11 00 10 10 58 10 4d 10 31 10 19 10 06 9 54 9 41 9 29 9 17 9 °5 8 53 8 41 IO 20 8 48 8 38 8 27 8 16 8 06 7 57 5 58 7 46 7 37 7 27 7 18 7 °7 658 20 30 6 37 6 29 6 21 6 14 6 06 5 51 5 43 5 36 5 29 5 21 5 14 30 40 4 26 4 20 4 14 4 10 4 °4 3 59 3 55 3 49 3 44 3 39 3 35 3 3° 40 50 2 12 2 10 2 08 2 05 2 02 2 00 1 57 1 54 1 52 1 5° 1 48 1 45 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 127 AZIMUTH OR TRUE BEARING. LATITUDE 30°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 30°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. b. m. o / / / / / / / / / / / / li. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 5 23 5 °2 4 4i 4 22 4 06 3 50 3 37 3 23 3 10 3 00 2 49 2 3? lO 20 1038 9 55 9 16 8 40 8 08 7 38 ■ 7 09 6 44 ■ 6 20 • 5 58 5 3° 5 16 20 30 15 39 14 37 13 41 12 49 12 02 11 18 1° 37 9 59' 9 24 8 52 8 21 7 51 30 40 20 19 19 01 17 5° 16 45 15 44 14 49 18 08 13 56 13 08 12 23 11 40 11 00 10 22 40 50 24 33 23 05 21 42 20 26 19 14 17 06 16 08 15 13 14 22 13 33 12 48 50 1 00 28 23 26 46 25 14 23 49 22 28 21 14 20 03 1857 17 54 16 56 16 00 15 06 1 OO 10 31 48 30 04 28 27 26 55 25 28 28 11 24 05 26 43 22 48 21 35 20 26 19 21 18 19 17 18 10 20 34 48 33 01 31 19 29 43 25 20 24 02 22 47 21 36 20 28 19 23 20 30 37 27 35 36 33 52 36 08 32 13 3° 38 29 06 27 40 26 17 26 58 23 42 22 30 21 20 30 40 39 43 37 54 34 26 32 49 31 15 29 47 28 21 25 39 23 23 23 09 40 50 41 42 39 52 38 07 36 25 34 47 33 11 31 40 30 12 2847 27 25 26 06 24 49 50 2 00 43 24 41 36 39 5i 38 10 36 31 34 55 33 23 31 53 30 27 29 02 27 41 26 22 2 OO 10 44 51 43 05 41 22 39 40 38 03 36 27 34 54 33 24 31 55 30 30 29 08 27 47 10 20 46 05 44 21 42 39 41 00 39 23 37 48 36 15 34 44 33 15 31 50 30 26 29 °4 20 30 47 08 45 26 43 46 42 09 4° 32 3858 37 26 35 56 34 27 33 °I 31 36 3° 13 30 40 48 00 46 21 44 43 43 07 41 33 39 59 38 28 36 59 35 3° 34 04 32 4° 31 16 40 50 48 43 47 06 45 31 43 57 42 24 40 52 39 22 37 53 3° 25 34 59 33 35 32 11 50 3 00 49 18 47 44 46 11 44 39 43 08 4i 37 40 09 38 40 37 14 35 48 34 25 33 01 3 OO 10 49 45 48 14 46 44 45 14 43 44 42 16 40 48 39 22 37 56 36 31 35 08 33 45 10 20 50 06 48 38 47 °9 45 4i 44 13 42 47 41 20 39 55 38 30 37 °7 35 44 34 22 20 30 50 21 48 54 47 29 46 03 44 37 43 12 41 47 40 23 39 °° 37 38 36 16 34 54 30 40 5° 31 49 06 47 42 46 19 44 55 43 3i 42 09 40 46 39 24 38 03 36 42 35 21 40 50 50 35 49 13 47 5i 46 29 45 08 43 46 42 25 41 04 39 42 38 22 37 03 35 43 50 4 OO 5° 35 49 15 47 55 46 35 45 15 43 55 42 36 41 16 39 57 3838 37 20 36 01 4 OO 10 50 30 49 !3 47 55 46 37 45 18 44 00 42 42 41 24 40 06 38 49 37 32 36 14 lO 20 50 22 49 06 47 50 46 34 45 17 44 01 42 45 41 29 40 T2 38 55 37 39 36 23 20 30 50 10 48 56 47 42 46 27 45 13 43 58 42 43 41 28 40 13 3858 37 43 36 28 30 40 49 55 48 43 47 30 46 17 45 04 43 51 42 37 41 24 40 10 38 57 37 43 36 29 40 SO 49 36 48 26 47 15 46 04 44 52 43 41 42 29 41 17 40 04 3852 37 4° 36 27 50 5 OO 49 14 48 06 46 57 45 47 44 37 43 26 42 16 41 06 39 54 38 44 37 33 36 21 5 00 10 48 50 47 43 46 35 45 26 44 18 43 10 42 01 40 52 39 42 38 33 37 23 36 12 lO 20 48 23 47 17 46 11 45 °4 43 57 42 5° 41 43 40 35 39 26 38 18 37 10 36 01 20 30 47 52 46 48 45 44 44 38 43 32 42 27 41 20 40 14 39 07 38 01 36 53 35 46 30 40 47 20 46 17 45 13 44 1° 43 06 42 01 40 56 39 5} 3846 37 4° 36 35 35 28 40 50 46 44 45 43 44 4i 43 38 42 35 41 32 40 29 39 26 38 22 37 18 36 14 35 °9 50 6 00 46 07 45 07 44 06 43 05 42 04 41 02 40 00 3 i 5 Z 37 54 36 52 35 49 34 45 6 OO lO 45 27 44 28 43.28 42 29 41 29 40 28 39 27 38 26 37 25 36 24 35 21 34 20 10 20 44 45 43 47 42 48 41 5° 40 51 39 52 38 53 37 53 36 53 35 53 34 52 33 51 20 30 43 59 43 °3 42 06 41 09 40 11 39 14 38 16 37 17 36 18 35 19 34 20 33 20 30 40 43 12 42 17 41 21 40 26 39 29 38 33 37 36 36 39 35 42 34 44 33 46 32 47 40 50 42 22 41 29 40 34 39 4° 38 45 37 5° 36 55 35 59 35 °2 34 °6 33 1° 32 13 50 7 00 41 31 40 38 39 45 38 52 37 58 37 °4 36 10 35 15 34 21 33 26 32 31 3i 35 7 OO lO 40 36 39 45 38 53 38 01 37 °9 36 16 35 23 34 30 33 37 32 43 31 5° 30 55 lO 20 39 41 38 5° 38 00 37 09 36 18 35 27 34 35 33 43 32 51 31 59 31 07 30 13 20 30 3» 41 37 53 37 °3 36 14 35 25 34 35 33 45 32 54 32 03 31 13 30 21 29 3° 30 40 3 Z 4 2 36 53 36 05 35 17 34 29 33 4° 32 52 32 02 31 13 30 24 29 34 28 45 40 50 3638 35 52 35 °5 34 18 33 31 32 43 31 57 31 09 30 21 29 33 28 45- 27 56 50 8 OO 35 32 34 4« 34 03 33 17 32 31 31 45 31 00 30 13 29 27 28 41 27 54 27 07 8 00 10 34 26 33 41 32 58 32 14 31 29 30 44 30 00 29 16 28 30 27 45 27 01 26 15 10 20 33 16 32 34 31 51 31 08 30 25 29 42 28 5? 28 16 27 32 26 49 26 05 25 22 20 30 32 04 31 23 3° 41 30 01 29 19 28 37 27 56 27 15 26 32 25 51 25 °9 24 26 30 40 3° 5° 30 10 29 31 28 51 28 11 27 3° 26 51 26 11 25 30 24 50 24 10 23 3° 40 50 29 34 23 56 28 18 27 40 27 01 26 22 25 44 25 05 24 26 23 48 23 °9 22 30 50 9 OO 28 15 27 39 27 02 26 26 25 48 25 II 24 35 23 58 23 21 22 44 22 07 21 30 9 00 10 26 55 26 20 25 45 25 10 24 35 23 59 23 24 22 49 22 14 21 39 21 03 20 28 lO 20 25 33 25 00 24 26 23 53 23 20 22 46 22 12 21 39 21 06 20 32 1958 18 51 19 24 20 30 24 08 23 37 23 °5 22 33 22 02 21 29 20 59 20 27 19 54 19 23 18 19 30 40 22 41 22 11 21 42 21 12 20 42 20 12 19 43 19 13 18 43 18 12 17 43 17 13 40 50 21 14 20 45 20 17 19 49 19 21 18 53 18 25 17 57 17 29 17 01 16 33 16 05 50 lO 00 19 44 19 17 IS 50 18 24 17 58 17 32 17 07 16 40 16 14 15 48 15 22 14 57 10 00 10 18 II 17 47 17 22 16 58 1633 16 09 15 46 15 21 14 58 14 34 14 10 '3 45 10 20 16 38 16 15 15 53 15 31 15 08 14 46 14 24 14 03 13 4° 13 18 12 56 12 34 20 30 15 02 14 43 14 22 14 02 13 42 13 22 13 02 12 41 12 22 12 02 II 42 11 22 30 40 13 26 13 07 12 50 12 32 12 14 11 56 11 38 11 20 11 02 10 44 10 26 10 08 40 50 II 49 11 32 II 16 II 00 10 44 10 28 10 13 9 57 9 4i 9 26 9 10 8 54 50 11 OO 10 09 9 55 9 41 9 28 9 15 9 01 847 8 33 8 20 8 06 7 53 7 39 11 00 10 8 29 8 17 8 07 7 55 7 43 7 32 7 21 7 10 6 58 6 47 6 35 6 24 lO 20 6 48 6 40 6 30 6 21 6 12 6 02 5 53 5 44 5 35 5 26 5 *l 5 08 20 30 5 °7 5 00 4 53 4 46 4 39 4 32 4 25 4 19 4 12 4 05 3 58 3 51 30 40 3 25 3 20 3 16 3 II 3 06 3 02 2 57 2 53 2 48 2 44 2 39 2 34 40 50 1 43 1 40 1 38 136 1 33 I 31 1 29 I 26 1 24 1 22 1 20 I 18 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the Starr is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 128 AZIMUTH OR TRUE BEARING. LATITUDE 30°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 30°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. ill. o / 1 / / / t / / / / / li. m. 00 00 00 00 00 00 00 00 00 00 00 00 OO 10 2 30 2 21 2 13 2 05 158 1 50 1 43 138 1 3i 1 26 1 20 10 20 458 4 41 4 ?5 4 08 3 54 3 40 3 27 3 15 3 02 2 50 2 39 20 30 7 24 6 58 6 34 6 12 5 50 5 29 5 09 4 5° 4 31 4 14 3 57 30 40 9 47 9 14 8 41 8 11 7 42 I '5 6 49 6 24 6 00 5 38 5 15 40 50 12 05 11 24 10 45 10 08 9 33 8 59 8 27 7 57 7 27 6 59 6 32 50 1 00 14 17 13 29 12 43 12 00 11 19 10 40 10 03 9 26 851 8 18 7 46 1 00 10 16 23 15 29 14 38 13 49 13 02 12 18 II 34 1° 53 10 14 9 35 8 59 10 20 18 22 17 23 16 27 15 32 14 41 13 51 13 03 12 17 11 33 10 50 10 09 20 30 20 14 19 10 18 10 17 II 16 15 15 20 14 28 13 38 12 50 12 02 11 17 30 40 21 59 20 52 19 47 18 44 17 44 16 45 15 49 14 55 14 03 13 12 12 22 40 50 23 37 22 26 21 17 20 II 1907 18 05 17 06 16 08 15 12 14 17 13 23 50 2 00 25 °7 23 53 22 41 21 32 20 26 19 21 18 17 17 17 16 18 15 20 14 25 2 00 10 26 29 25 14 24 bo 22 48 21 39 20 31 ' 19 25 18 22 17 20 16 19 15 21 10 20 27 44 26 27 25 11 23 58 22 47 21 37 20 29 19 23 18 18 17 15 16 14 20 30 28 54 27 35 26 18 25 03 23 50 22 38 21 28 20 20 19 12 18 07 17 04 30 40 29 56 28 35 27 18 26 OI 24 47 23 34 22 22 21 12 20 04 1856 17 5° 40 50 30 51 29 3i 28 11 26 54 25 39 24 25 23 12 22 01 20 50 19 41 1834 50 3 00 31 40 30 19 29 01 27 43 26 27 25 12 23 57 22 44 21 33 20 23 19 14 3 00 10 32 24 31 04 29 44 28 26 27 09 25 54 24 38 23 25 22 13 21 01 19 51 lO 20 33 01 31 41 30 22 29 04 27 47 26 31 25 16 24 02 22 48 21 36 20 25 20 30 33 34 32 15 30 55 29 37 28 20 27 04 25 48 24 34 23 20 22 07 20 56 30 40 34 01 32 43 31 24 30 06 28 50 27 33 26 17 25 02 23 48 22 35 21 22 40 50 34 25 33 06 31 48 30 31 29 14 27 58 26 43 25 27 24 13 23 OO 21 47 SO 4 00 34 43 33 26 32 08 30 51 29 35 28 19 27 03 25 48 24 35 23 21 22 08 4 00 10 34 57 33 41 32 24 31 08 29 52 28 37 27 22 26 08 24 53 23 39 22 26 lO 20 35 07 33 51 32 35 31 20 30 05 28 51 27 36 26 21 25 08 23 54 22 41 20 30 35 13 33 59 32 44 31 29 30 15 29 01 27 47 26 33 25 20 24 06 22 53 30 40 35 16 34 02 32 48 31 34 30 21 29 08 27 54 26 41 25 28 24 16 23 03 40 50 35 14 34 03 32 50 31 37 30 24 29 12 27 59 26 47 25 34 24 22 23 10 50 5 00 35 10 33 59 32 48 31 36 3° 25 29 12 28 00 26 49 2538 24 26 23 14 5 00 lO 35 03 33 53 32 42 31 32 30 22 29 11 27 59 26 49- 25 37 24 27 23 15 10 20 34 52 33 43 32 34 31 24 30 15 29 05 27 55 26 4b 25 35 24 25 23 15 20 30 34 39 33 31 32 22 31 14 30 06 2858 27 49 26 40 25 30 24 20 23 10 30 40 34 22 33 16 32 09 31 02 29 55 28 47 27 39 26 31 25 23 24 15 23 06 40 50 34 03 32 58 31 52 30 46 29 40 28 34 27 27 26 20 25 13 24 06 22 58 50 6 OO 33 42 32 38 31 32 30 28 29 24 28 19 27 13 26 07 25 00 23 54 22 48 6 00 10 33 17 32 14 31 II 30 08 29 05 28 01 26 56 25 51 24 47 23 41 22 36 lO 20 32 5° 31 49 30 47 29 44 28 42 27 4° 26 37 25 33 24 30 23 26 22 21 20 30 32 21 31 21 30 20 29 20 28 19 27 17 26 15 25 13 24 10 23 07 22 04 30 40 31 50 30 51 29 51 28 51 27 52 26 52 25 51 24 51 23 50 22 48 21 45 40 50 31 16 30 18 29 20 28 22 27 24 26 25 25 26 24 27 23 27 22 26 21 25 50 7 00 30 40 29 44 28 47 27 50 2fi 54 25 56 2458 24 00 23 01 22 02 21 03 7 OO lO 30 01 29 07 28 11 27 16 26 21 25 25 24 28 23 31 22 34 21 37 20 39 10 20 29 21 28 28 27 34 26 40 25 47 24 52 23 57 23 01 22 05 21 09 20 13 20 30 28 38 27 47 26 54 26 02 25 10 24 16 23 23 22 29 21 35 20 41 19 46 30 40 27 54 27 04 26 13 25 22 24 32 23 40 22 47 21 55 21 03 20 10 19 16 40 50 27 08 26 19 "5 30 24 41 23 51 23 oi 22 11 21 20 20 29 19 37 18 46 50 8 00 26 19 25 32 24 45 23 57 23 °9 22 20 21 31 20 43 19 54 19 03 18 27 18 13 8 OO 10 25 30 24 44 2358 23 12 22 25 21 39 20 51 20 04 19 16 17 40 10 20 24 38 23 53 23 °9 22 25 21 40 20 54 20 09 19 24 18 38 17 51 17 05 16 28 20 30 23 44 23 02 22 19 21 36 20 53 20 09 19 25 18 42 17 58 17 13 30 40 22 49 22 08 21 27 20 46 20 05 19 23 18 41 17 59 17 16 16 33 15 5° 40 50 21 51 21 13 20 33 19 54 19 14 18 34 17 54 17 14 16 33 15 52 15 10 50 9 00 20 53 20 16 19 38 19 00 18 22 17 44 17 05 16 27 15 49 15 10 14 3° 9 00 10 19 52 19 17 18 41 18 05 17 29 16 53 16 16 15 40 15 °3 14 26 13 49 lO 20 18 51 18 17 17 43 17 09 16 35 16 01 15 26 14 52 14 17 13 41 13 06 20 30 1748 17 16 16 44 16 12 15 39 15 06 14 34 14 02 13 28 12 55 12 22 30 40 16 43 16 13 15 42 15 12 14 42 14 12 13 41 13 II 12 39 12 09 11 38 40 50 15 38 15 10 14 41 14 13 13 45 13 17 12 47 12 18 11 50 11 21 10 51 50 10 00 14 30 14 04 13 38 13 11 12 46 12 19 II 53 II 26 10 59 10 08 10 32 10 05 10 00 10 13 22 12 58 12 33 12 09 11 46 11 21 10 56 10 32 9 42 9 17 10 20 12 13 " 51 II 28 11 06 10 44 10 22 9 59 9 37 9 14 8 52 8 29 20 30 11 02 10 43 10 22 10 02 9 43 9 22 9 02 8 42 8 22 8 01 7 40 30 40 9 5° 9 33 9 15 8 57 8 40 8 22 8 04 7 45 7'27 7 09 6 50 40 50 839 8 24 8 07 7 52 7 37 7 21 7 05 6 49 6 33 6 17 6 00 50 11 OO 7 26 7 13 6 59 6 45 6 32 6 19 6 05 5 52 5 38 5 24 5 10 11 00 10 6 12 6 02 5 5° 5 39 5 28 5 17 5 05 4 54 4 42 4 31 4 19 10 20 4 59 4 5° 4 4i 4 32 4 23 4 13 4 °4 3 55 3 46 3 36 3 28 20 30 3 45 3 38 3 31 3 24 3 17 3 11 3 04 2 57 2 50 2 43 2 36 30 40 2 30 2 26 2 20 2 16 2 12 2 07 2 03 158 1 54 1 49 1 44 40 50 1 15 1 12 1 10 1 08 1 06 1 04 1 01 59 57 54 52 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned frdm North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 129 AZIMUTH OR TRUE BEARING. LATITUDE 31°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 31°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 33° 33° 34° 35° Hour Angle. li. in. o / / / / / / r / / / / / li. jii. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00. 00 00 10 161 50 159 12 155 4° 15° 44 143 25 132 06 114 16 89 21 64 14 46 00 34 27 26 59 10 20 146 28 142 27 137 28 131 12 123 20 "3 S 2 101 48 8843 75 31 63 26 53 14 45 01 30 30 134 4° 130 22 125 20 119 31 113 48 106 30 i°5 13 96 53 88 04 79 10 7° 35 62 39 55 32 30 40 125 52 121 46 117 10 112 05 100 28 94 °3 87 25 80 43 74 07 67 46 61 50 40 50 "9 15 115 28 ill 23 106 58 102 16 97 18 92 06 86 46 81 23 76 02 70 49 65 47 50 1 00 114 07 no 43 107 04 103 13 99 °9 94 56 9° 35 86 07 81 37 77 °8 72 41 68 22 1 00 10 IIO 02 106 56 103 40 100 16 9 6 43 93 °4 89 18 85 28 81 36 77 43 73 52 70 04 10 20 I06 40 103 51 100 54 97 52 94 43 91 29 88 10 84,49 81 25 78 01 74 36 71 14 30 30 i°3 5° 101 15 98 35 95 5° 93 °° 90 06 87 09 84 09 81 07 78 05 75 °2 72 00 30 40 10 1 24 99 01 96 34 94 °4 91 29 88 52 86 12 83 29 So 45 78 00 75 14 72 29 40 50 99 16 97 °3 94 48 92 30 90 08 87 44 85 17 82 49 80 19 77 48 75 17 72 45 50 2 00 97 20 95 17 93 12 91 04 88 53 86 40 84 25 82 09 79 5i 77 31 75 12 72 51 2 OO lO . 95 36 93 42 91 44 89 45 87 43 85.39 83 34 81 28 79 21 77 11 75 01 72 51 lO 20 94 °i 92 13 90 23 88 31 86 37 84 41 82 44 80 47 78 47 76 47 74 46 72 44 20 30 92 33 90 50 89 06 87 21 85 35 83 46 81 5.6 80 05 78 12 76 20 74 27 72 32 30 40 91 10 89 32 88 18 87 54 86 14 84 33 82 51 81 08 79 23 77 37 75 51 74 °4 72 16 40 50 89 50 8645 85 n 83 34 8158 80 19 7841 77 °i 75 19 73 38 71 56 SO a 00 88 35 87 08 85 39 84 08 82 37 81 05 79 32 77 58 76 22 74 46 73 1° 71 33 3 OO lO 87 23 85 59 84 34 83 °8 81 41 80 12 78 44 77 14 75 43 74 11 72 40 71 °7 10 20 86 14 84 53 83 32 82 08 80 45 79 20 77 56 76 30 75 °3 73 35 72 08 70 38 20 30 85 06 83 48 82 30 81 n 79 5° 78 29 77 °8 75 45 74 22 .72 58 71 33 70 08 30 40 84 00 82 45 81 29 80 12 78 55 77 37 76 19 75 °° 73 39 72 18 7° 57 69 36 40 50 8255 81 42 80 29 79 16 78 01 76 45 75 29 74 J3 72 56 71 38 70 20 69 01 50 4 00 81 51 80 41 79 3° 78 18 77 °7 75 54 74 4° 73 27 72 13 7°58 69 41 68 25 4 00 10 80 47 79 4° 78 31 77 22 76 12 75 °i 73 5° 72 39 71 26 70 13 69 00 67 47 10 20 79 45 78 39 77 31 76 24 75 17 74 °9 73 °° 7i 5° 70 40 69 29 68 19 67 °7 20 30 78 42 77 38 76 33 75 27 74 22 73 15 72 08 71 01 69 52 68 44 67 35 66 25 30 . 40 77 4° 7° 37 •75 34 74 3° 73 26 72 21 71 16 70 10 69 04 67 57 66 51 65 43 40 50 76 3 8 75 3° 74.34 73 32 72 3° 71 26 70 22 69 19 68 14 67 10 66 05 6458 50 5 OO 75 35 74 35 73 34 72 34 71 33 70 30 69 28 68 26 67 23 66 20 65 16 64 12 5 00 10 74 32 73 33 72 34 71 34 7° 35 69 34 6833 67' 32 66 31 65 29 64 27 63 24 lO 20 73 28 72 3° 71 33 7° 34 69 36 6837 67 37 66 38 6538 °4 37 63 37 62 36 20 30 72 24 71 28 7° 3° 69 33 68 36 67 38 66 40 65 42 64 43 63 43 62 44 61 44 30 40 71 20 70 24 69 28 68 32 67 36 66 39 65 41 64 44 ^3 47 62 49 61 51 60 52 40 50 70 14 69 19 68 24 67 28 6633 65 37 64 41 63 45 62 49 61 52 60 56 59 58 50 6 OO 69 06 68 13 67 18 66 24 65 3° 64 35 63 40 •62 45 61 50 6 ° 53 59 58 59 °2 6 00 10 6758 67 06 66 12 65 18 64 25 63 31 62 37 61 43 60 48 59 54 58 59 58 04 lO 20 66 50 65 53 65 04 64 12 63 20 62 26 61 33 60 40 59 47 58 52 57 59 57 °5 20 30 °5 38 64 47 63 56 63 03 62 12 61 18 60 27 59 35 58 42 57 49 56 57 56 03 30 40 64 26 63 35 62 44 61 53 61 02 60 10 59 19 5828 57 35 56 44 55 53 55 °° 40 50 63 13 62 22 61 32 60 41 59 51 59 °° 58 09 57 19 56 28 55 37 54 46 53 54 50 7 OO 61 56 61 06 60 17 59 27 58 37 57 47 5°58 56 08 55 18 54 28 53 38 52 47 7 OO 10 60 38 59 49 59 °° 58 11 57 23 56 33 55 44 54 55 54 °5 53 16 52 28 51 37 10 20 59 1? 58 3° 57 4i 56 53 56 °5 55 17 54 28 53 4° 52 51 52 °3 5i 15 50 26 20 30 57 56 57 °8 56 21 55 33 54 45 53 57 53 1° 52 23 51 34 5048 50 00 49 12 30 40 56 32 55 45 54 57 54 1° 53 24 52 36 51 49 51 °3 5° 17 49 3° 48 43 47 56 40 50 55 °5 54 18 53 32 52 45 5i 59 51 12 50 27 49 4i 48 55 48 09 47 23 46 37 50 8 00 53 35 52 49 52 °2 51 ifi 5° 32 49 46 ' 49 01 48 16 47 31 46 46 46 01 45 16 8 00 lO 52 02 51 17 5° 32 49 46 49 °2 48 17 47 33 46 49 46 05 45 20 44 37 43 53 lO 20 50 26 49 41 48 57 48 12 47 29 46 45 46 02 45 19 44 36 43 52 ' 43 °9 42 27 20 30 48 47 48 02 47 19 46 36 45 53 45 1° 44 29 43 46 43 °4 42 21 41 40 40 58 30 40 47 °4 46 21 45 39 44 56 44 14 43 32 42 51 42 10 41 29 40 48 40 07 39 26 40 50 45 18 44 36 43 54 43 13 42 33 41 51 41 10 4° 31 39 51 39 II 38 32 37 52 50 9 00 43 28 42 47 42 07 41 27 40 47 40 07 39 27 38 48 38 09 37 31 36 53 36 15 9 00 lO 41 35 4° 55 40 15 39 3° 3858 3 ? l l 37 4° 37 °3 36 25 35 48 35 12 34 35 10 20 39 3? 38 59 38 21 37 43 37 °6 36 28 35 52 35 15 34 39 34 °3 33 =8 32 52 20 30 37 36 36 59 36 22 35 46 35 1° 34 34 33 58 33 24 32 49 32 14 31 41 31 06 30 40 35 32 34 55 34 20 33 45 33 II 32 36 32 02 31 29 3° 55 3° 23 29 5° 29 18 40 50 33 22 32 47 32 14 31 4° 31 °7 3° 34 30 02 29 31 28 59 28 27 27 57 27 26 50 10 00 31 °8 3° 36 30 04 29 32 29 01 28 30 27 59 27 29 27 00 26 30 26 01 25 33 10 00 lO 28 51 28 20 27 49 27 20 26 50 26 21 25 52 25 25 24 57 24 3° 24 °3 23 36 10 20 26 28 26 00 25 32 25 °4 24 37 24 09 23 44 23 18 22 52 22 26 22 01 21 36 20 30 24 °3 23 37 23 n 22 45 22 21 21 55 21 31 21 07 20 44 20 20 19 58 19 35 30 40 21.34 21 10 20 46 20 23 20 00 19 38 19 15 18 54 1833 18 II 17 51 17 31 40 50 19 00 1839 18 18 17 57 17 37 17 17 16 57 1638 16 20 16 01 . 15 43 15 24 50 11 00 16 24 16 06 15 47 15 29 15 12 14 54 14 37 14 20 14 04 13 48 13 32 13 16 11 00 10 13 45 13 29 13 14 12 58 12 43 12 29 12 15 12 00 n 46 II 32 n 19 II 06 lO 20 11 04 10 51 10 38 10 25 10 13 10 01 9 5° 9 39 9 27 ' 9 16 9 06 8 54 20 30 8 20 8 09 8 00 7 5i 7 42 7 33 7 23 7 15 7 °7 6 58 6 50 6 43 30 40 5 34 5 27 5 20 5 x 5 5 08 5 °2 4 57 4 5i 4 45 4 40 4 34 4 29 40 50 2 47 2 44 2 41 2 38 2 35 2 32 2 29 2 26 2 23 2 20 2 18 2 15 50 12 00 00 00 .0 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02 9 130 AZIMUTH OR TRUE BEARING. LATITUDE 31°. DECWNATION- -SAME NAME AS— LATITUDE. LATITUDE 31°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. mi o / / / / / / / / / / r / n. ill. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 OO 10 21 58 18 22 15 42 13 38 12 02 10 44 9 37 8 43 7 56 7 15 6 40 6 09 10 20 38 28 33 16 29 06 25 43 22 56 2° 35 18 37 1656 15 29 14 13 13 °6 12 07 20 30 49 2° 43 59 39 22 35 26 32 02 29 06 26 33 24 20 22 22 20 38 19 06 17 43 30 40 56 22 51 24 46 54 42 54 39 19 36 08 33 16 30 44 28 27 26 24 24 32 22 51 40 50 61 00 56 32 52 23 48 32 45 °° 41 47 38 49 36 07 33 40 31 25 29 21 27 28 50 1 00 64 10 60 10 56 22 52 46 49 25 46 15 43 20 40 37 3805 35 44 33 34 31 32 1 00 10 66 22 62 46 59 19 56 00 52 50 49 50 46 59 44 18 41 47 39 25 37 11 35 06 10 20 67 55 64 40 61 30 58 26 55 29 52 39 49 55 47 20 44 51 42 3° 40 16 38 09 20 30 69 00 66 03 63 09 60 18 57 32 54 52 52 17 49 47 47 24 45 <* 42 54 40 48 30 40 69 44 67 01 64 21 61 43 62 48 59 °9 S638 54" 5148 49 30 47 16 45 08 43 °3 40 50 70 14 67 44 65 15 60 23 58' 01 55 42 53 26 51 14 49 °4 46 59 44 58 50 2 00 70 32 68 13 5l 54 6336 61 21 59 °7 56 55 54 45 52 39 50 34 48 33 46 34 2 00 10 70 41 6832 66 21 64 12 62 04 59 57 57 52 55 49 53 48 51 48 49 51 47 56 10 20 70 42 68 40 66 38 64 36 62 36 60 36 58 37 56 39 54 43 52 48 50 55 49 °4 20 30 7° 37 68 42 66 47 64 52 6258 61 04 59 " 57 18 55 27 53 37 5i 48 50 01 30 40 70 27 68 39 66 50 65 01 63 12 61 24 59 36 57 48 56 02 54 16 52 31 50 47 40 SO 70 13 68 30 66 46 65 03 63 19 61 36 59 52 5809 56 27 54 45 53 °4 51 23 50 3 OO 69 55 68 16 6638 64 59 63 20 61 41 60 02 58 24 5645 55 °7 53 29 51 49 3 OO io 69 33 67 59 66 26 64 51 63 16 61 42 60 06 5831 56 57 55 22 53 47 52 14 10 20 69 09 67 41 66 09 6438 63 08 61 37 60 05 58 33 57 02 55 31 54 00 52 29 20 30 6843 67 16 65 49 64 22 62 55 61 27 60 00 58 31 57 °3 55 35 54 °7 52 38 30 40 68 13 6650 65 27 64 °3 62 39 61 14 59 47 58 24 56 59 55 33 54 °8 52 43 40 60 67 41 66 21 65 01 63 40 62 19 6058 59 35 58 13 565° 55 28 54 05 52 42 50 4 00 6708 65 51 64 33 63 15 61 56 60 37 59 18 57 58 5638 55 18 53 58 52 37 4 00 10 66 32 65 18 64 02 62 47 61 31 60 14 58 57 57 40 56 22 55 °5 53 47 52 28 10 20 65 55 64 42 63 3° 62 16 61 02 59 48 58 33 57 18 56 04 54 47 53 32 52 15 20 30 65 15 64 05 62 54 6"i 43 61 08 60 32 59 20 58 07 56 54 55 41 54 27 53 14 52 00 30 40 64 35 63 26 62 18 59 59 5848 57 38 56 27 55 16 54 °5 52 52 51 4° 40 50 63 52 62 46 61 39 60 31 59 23 58 15 57 °6 55 57 54 48 53 38 52 28 51 17 50 5 OO 63 08 62 03 60 57 59 5i 5846 57 39 56 32 55 24 54 17 53 °9 52'38 52 01 5° 52 5 OO 10 62 21 61 18 60 15 59 " 58 06 57 00 55 56 54 50 53 44 51 32 5° 24 10 20 61 34 60 32 59 29 58 27 57 24 56 21 55 17 54 13 53 09 52 °4 5058 49 53 20 30 6045 59 44 58 54 58 43 57 41 S640 55 38 54 35 53 34 52 31 51 28 50 24 49 19 30 40 59 53 57 55 56 54 55 54 54 54 53 53 53 °8 52 52 51 5° 50 48 49 46 48 44 40 50 59 00 58 02 57 04 56 05 55 °6 54 08 52 08 51 08 50 07 49 °7 48 05 50 6 00 58 05 57 08 56 12 55 14 54 17 53 18 52 20 51 22 50 23 49 24 48 25 47 25 6 00 10 57 08 56 13 55 17 54 20 53 25 52 28 51 31 5° 34 49 36 48 38 47 4° 46 41 10 , 20 56 10 55 15 54 21 53 26 52 31 51 35 50 40 49 44 48 47 47 51 46 54 45 57 20 30 55 09 54 16 53 23 52 29 51 34 50 40 4946 48 50 47 56 "■I °l 46 05 45 09 30 40 54 07 53 15 52 23 51 3° 50 37 49 43 48 49 47 56 47 02 46 08 45 14 44 19 40 50 53 04 52 12 51 20 5° 28 49 37 48 45 47 52 46 59 46 07 45 13 44 20 43 27 50 7 OO 51 57 51 °7 50 16 49 25 48 34 47 42 46 51 46 00 45 09 44 17 43 25 42 28 42 32 7 00 10 50,48 49 59 49 09 48 19 47 30 46 39 45 50 44 5? 44 °9 43 18 41 36 10 20 49 37 48 49 48 01 47 11 46 22 ^45 34 44 45 43 56 43 °7 42 17 41 27 4° 37 20 30 48 25 47 37 46 50 46 02 45 14 44 26 43 39 42 50 42 02 41 14 40 25 39 37 30 40 47 09 46 23 45 37 44 50 44 °3 43 16 42 29 41 42 40 55 40 08 39 21 38 33 40 50 45 52 45 06 44 21 43 36 42 49 42 04 41 19 4° 33 39 47 39 °i 38 15 37 29 50 8 00 44 32 43 47 43 °3 42' 18 41 34 40 48 40 05 3848 39 20 38 35 37 51 37 06 36 21 8 OO 10 43 °9 42 26 41 42 40 59 40 15 39 32 38 06 37 22 36 39 35 55 35 11 10 20 41 44 41 02 40 19 39 37 38 54 38 12 37 31 36 48 36 06 35 25 34 36 22 35 31 34 42 33 51 33 °2 32 12 31 20 3° 3° 29 39 30 40 37 47 36 58 36 11 35 24 34 34 33 47 32 57 32 09 31 20 3° 31 29 41 28 52 40 50 36 42 35 56 35 10 34 23 33 36 32 5° 32 02 31 15 30 27 29 39 28 51 28 03 50 8 OO 35 36 34 51 34 °6 33 21 32 35 31 5° 31 °4 30 18 29 33 28 46 27 59 27 13 8 00 10 34 28 33 45 33 00 32 17 31 33 3° 49 3° °5 29 20 2835 27 51 27 °5 26 20 10 20 33 17 32 35 31 53 31 11 30 28 29 45 29 02 28 20 27 37 26 53 26 10 25 26 20 30 32 05 31 24 30 43 30 03 29 22 28 40 27 59 27 17 26 36 25 54 25 12 24 30 30 40 3° 51 30 11 29 32 2853 28 13 27 32 26 53 26 13 25 34 24 53 24 13 23 33 40 50 29 34 28 56 28 18 27 4° 27 02 26 24 25 46 25 °7 24 29 23 51 23 12 22 33 50 9 OO 28 15 27 38 27 02 26 26 25 5° 25 13 24 37 24 00 23 23 22 46 22 10 21 33 9 OO 10 26 54 26 18 25 44 25 10 24 35 23 18 24 00 23 25 22 50 22 16 21 40 21 05 20 30 10 20 25 32 2458 24 25 23 52 22 46 22 13 21 39 21 06 2° 33 19 59 19 26 20 30 24 07 23 35 23 °3 22 32 22 01 21 28 20 58 20 27 19 56 19 24 18 53 18 22 30 40 22 40 22 10 21 40 21 11 20 42 20 II 19 42 19 13 18 44 18 13 17 43 17 15 40 ! 50 21 11 20 43 20_ l6 19 48 19 20 18 52 18 25 17 57 17 3° 17 02 16 34 16 06 50 10 OO 19 41 19 15 18 49 18 23 17 57 17 32 17 °5 16 40 16 15 15 49 15 22 14 57 10 00 10 18 09 17 44 17 21 16 57 16 33 16 09 15 45 15 21 14 58 14 34 14 10 13 43 10 20 16 35 16 13 15 52 15 3° 15 °8 14 46 14 24 14 02 13 4° 13 18 12 57 12 35 20 30 15 0° 14 40 14 21 14 01 13 4i 13 21 13 01 12 42 12 22 12 02 11 42 II 22 30 40 13 24 13 °5 12 48 12 31 12 13 11 55 11 37 11 19 II 01 10 44 10 27 10 09 40 50 11 47 11 3° II 14 1° 59 10 43 10 27 10 12 9 57 9 4i 9 26 9 10 8 55 50 11 00 10 07 9 54 9 4" 9 27 9 13 9 00 8 47 8 33 8 20 8 07 7 53 7 39 11 00 10 8 28 8 16 8 05 7 53 7 42 7 31 7 20 7 °9 6 58 6 46 6 35 6 24 10 20 6 47 638 6 29 6 20 6 11 6 02 5 53 5 43 4 18 5 34 5 26 5 17 5 08 20 30 5 06 4 59 4 52 4 45 4 38 4 31 4 25 4 12 4 °5 3 58 3 5i 30 40 3 24 3 19 3 *3 3 10 3 °5 3 01 2 56 2 52 2 48 2 43 •2 39 2 35 40 50 1 43 1 40 1 38 1 36 1 33 1 31 1 29 1 27 1 24 1 22 1 19 1 17 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from Northto East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East • and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 132 AZIMUTH OR TRUE BEARING. LATITUDE 31°. DECLINATION— SAME NAME AS— LATITCJDE. L,ATITU»E 31°. Hour An gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. ju. o / / / / / / r / / / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 OO lO 2 35 2 25 2 17 2 08 2 00 1 54 I 46 1 39 1 33 1 27 1 22 10 20 5 °7 4 49 4 32 4 16 4 01 3 45 3 32 3 1? 3 °S 2 54 2 42 20 30 7 38 7 " 6 45 6 22 5 59 5 37 5l6 4 56 4 38 6 08 4 20 4 03 30 40 io 05 9 29 856 8 24 7 55 7 26 6 59 6 33 5 45 5 22 40 50 12 26 " 43 11 02 10 24 9 47 ' 9 12 8 39 8 07 7 37 7 08 6 40 SO 1 00 14 42 13 52 13 04 12 20 11 36 10 56 10 17 9 39 11 08 9 °4 8 29 7 56 1 OO 10 16 51 15 55 15 01 14 10 13 22 12 35 11 5° 10 27 9 47 9 10 10 20 18 52 17 51 16 52 15 56 15 °2 14 II 13 21 12 33 11 47 11 04 10 21 20 30 20 47 19 40 18 37 17 37 16 38 15 42 14 47 13 5° 13 05 12 15 II 31 30 40 22 33 21 22 20 15 19 10 18 08 17 07 16 10 T § : 2 14 19 13 28 12 37 40 50 24 12 22 58 21 47 20 39 19 33 18 29 17 27 16 28 15 30 14 34 13 40 50 2 OO 25 43 24 27 23 12 22 02 20 52 19 45 18 41 17 38 1° 37 ^ 14 41 2 OO lO 27 06 25 47 24 31 23 18 22 06 20 56 19 49 18 44 17 40 16 38 15 38 10 20 28 21 27 01 25 44 24 29 23 15 22 03 2° 53 19 45 18 39 17 34 16 32 20 30 29 31 28 09 26 50 25 33 24 17 23 °4 21 52 20 42 19 34 18 27 17 22 30. 40 30 31 29 10 27 49 26 32 25 15 24 00 22.47 21 35 20 25 19 16 18 09 40 50 31 27 30 05 28 44 27 25 26 07 24 51 23 37 - 22 23 * 21 12 20 02 18 52 50 3 OO 32 16 30 53 29 32 28 12 26 54 25 37 24 22 23 °7 21 55 20 44 19 33 3 OO 10 32 58 31 36 30 15 2855 27 37 26 19 25 °3 23 48 22 34 21 22 20 10 10 20 33 35 32 13 30 52 29 33 28 14 2° 57 25 4° 24 24 23 10 21 56 20 43 20 30 3+ 07 32 46 31 25 30 06 28 48 27 3° 26 13 24 57 23 42 22 27 21 14 30 40 34 34 33 13 31 53 30 35 29 16 27 58 26 41 25 25 24 10 22 55 21 41 40 50 34 56 33 35 32 16 30 59 29 41 28 22 27 06 25 49 24 34 23 20 22 05 50 4 00 35 13 33 54 32 35 31 17 30 00 28 43 27 27 26 10 24 55 23 41 22 26 4 00 10 35 26 34 07 32 5° 31 33 30 17 29 00 27 44 26 28 25 13 23 58 22 43 IO 20 35 34 34 18 33 01 31 45 30 29 29 13 27 58 26 42 25 28 24 13 22 58 20 30 35 39 34 23 33 07 31 53 3° 3» 29 22 28 08 26 53 25 38 24 25 23 10 30 40 35 41 34 26 33 12 31 57 3° 43 29 29 28 15 27 00 25 47 24 33 23 20 40 50 35 39 34 26 33 12 3i 59 3° 45 29 32 28 19 27 °5 25 52 24 39 23 26 50 5 00 35 33 34 21 33 09 31 57 3° 44 29 32 28 19 27 07 25 55 24 43 23 30 5 OO 10 35 25 34 14 33 02 31 51 30 40 29 29 28 17 27 05 25 54 24 43 23 31 10 20 35 13 34 03 32 53 31 44 30 33 29 24 28 13 27 01 25 51 2440 23 30 20 30 34 58 33 5° 32 41 31 33 30 24 29 H 28 05 26 55 25 45 24 36 23 25 30 40 34 40 33 34 32 27 31 19 30 12 29 03 27 55 26 46 2538 24 29 23 ?9 40 50 34 21- 33 15 32 oS 31 °3 29 57 28 49 • 27 42 26 35 25 27 24 19 23 11 50 6 00 33 58 32 53 31 48 30 44 29 38 28 33 27 27 26 21 25 14 24 08 23 01 6 OO 10 33 32 32 29 31 25 30 22 29 18 28 14 27 °9 26 04 24 59 23 53 22 48 10 20 33 05 32 03 31 00 29 58 2§ 5 6 27 53 26 49 25 4° 24 42 23 37 22 33 20 30 32 34 31 33 3° 33 29 32 28 31 27 29 26 27 25 24 24 22 23 19 22 15 30 40 32 02 31 02 30 03 29 °4 28 04 27 °4 26 03 25 °2 24 00 22 59 21 56 40 50 31 27 30 29 29 32 28 34 27 35 26 36 25 36 24 36 23 37 22 37 21 36 50 7 OO 30 5° 29 54 2857 28 01 27 03 26 06 25 08 24 10 23 12 22 13 21 13 7 OO 10 30 12 29 16 28 37 28 21 27 26 26 30 25 34 24 38 23 41 22 44 21 47 20 48 10 20 29 31 27 43 26 49 25 55 25 °° 24 06 23 1° 22 15 21 19 20 21 20 30 2847 27 55 27 02 26 10 25 19 24 25 23 31 22 38 21 44 20 49 19 54 30 40 28 02 27 11 26 20 25 30 24 39 •23 48 . 22 56 22 03 21 10 20 18 19 24 40 50 27 15 26 26 25 37 24 48 23 58 23 °9 22 18 21 27 20 37 19 45 18 53 50 8 00 26 26 25 38 24 51 24 03 23 16 22 27 21 38 20 49 20 00 19 10 18 20 8 00 10 25 36 24 50 24 04 23 18 22 31 21 44 2° 57 20 10 19 23 18 35 17 48 10 20 24 43 2358 23 13 22 30 21 45 21 00 20 15 I929 18 44 17 59 17 14 20 30 23 49 23 05 22 23 21 41 2° 57 20 14 19 30 18 46 18 03 17 20 16 37 30 40 22 53 22 12 21 30 20 50 20 09 19 18 19 27 1845 18 03 17 21 16 40 15 59 40 50 21 55 21 15 20 36 19 58 18 38 17 59 17 17 1638 16 00 15 20 50 9 00 20 56 20 19 IQ 41 19 04 IS 26 :7 4f 17 11 16 32 15 52 15 12 14 32 9 00 10 19 56 19 19 l8 44 18 08 X Z 33 , 16 56 16 20 15 43 15 07 14 31 13 55 10 20 18 54 18 20 17 45 17 12 16 38 16 04 15 28 14 54 14 20 13 46 13 12 20 30 17 49 17 18 l6 46 16 14 15 42 15 l° 14 37 14 04 13 32 13 00 12 28 30 40 16 44 16 14 15 44 15 14 14 45 14 14 ■3 44 13 13 12 43 12 13 11 43 40 50 15 33 15 10 14 43 14 15 13 47 13 19 12 50 12 21 « 53 11 25 10 57 50 10 00 14 31 14 °5 13 39 13 13 12 47 12 21 11 54 11 28 11 01 10 34 10 07 10 00 lO 13 22 12 58 12 34 12 11 11 47 II 23 10 58 10 33 10 09 9 45 9 21 10 20 12 13 11 52 11 29 11 08 10 46 10 23 10 01 9 39 9 17 8 55 8 33 20 30 11 03 10 43 10 23 10 03 9 43 9 23 9 04 8 43 8 23 8 03 7 43 30 40 9 52 9 33 9 16 8 58 8 41 8 23 8 05 7 47 7 29 7 II 6 53 40 50 8 39 8 23 8 08 7 52 7 37 7 21 7 °5 6 50 6 34 6 18 6 02 50 11 00 7 26 7 13 6 59 6 46 6 33 6 19 6 06 5 52 5 39 5 26 5 13 11 00 lO 6 13 6 02 5 51 5 39 5 28 5 18 5 06 4 54 3 50 4 43 4 30 4 18 10 20 4 59 4 -5° 4 41 4 32 4 24 4 14 4 °5 3 47 3 38 3 28 20 30 3 45 3 & 3 31 3 24 3 17 3 11 3 04 2 57 2 5° 2 43 2 37 30 40 2 29 2 25 2 21 2 16 2 12 2 07 2 03 1 58 1 54 1 49 1 45 40 50 1 15 1 13 1 11 1 09 1 06 I 04 1 02 1 00 °57 55 53 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 133 AZIMUTH OR TRUE BEARING. LATITUDE 32°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 32°. Hour Angle. li. lO 11 12 in. 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 SO 00 10 20 30 40 50 00 24° 180 00 I&3 19 149 54 138 34 129 43 122 51 "7 25 "3 01 T09 23 106 16 103 40' 101 20 99 IS 97 21 95 38 94 01 92 32 91 07 89 46 88 29 87 14 86 02 84 52 »3 43 82 36 81 29 80 23 79 18 78 12 77 07 76 02 74 55 73 50 72 43 71 36 70 28 69 19 68 66 sfi 65 41 64 31 63 15 61 57 60 37 59 15 57 51 56 26 54 57 53 26 51 52 50 14 48 34 46 51 45 05 43 13 41 20 39 22 37 20 35 15 33 05 30 52 28 34 26 13 23 49 21 20 18 49 16 14 13 36 10 56 8 14 5 30 2 45 o 00 25° 180 00 161 58 146 39 134 52 126 03 119 23 "4 13 no 04 106 41 i°3 49 101 21 99 " 97 14 95 28 93 52 92 21 90 56 89 36 88 19 87 °5 85 54 84 45 83 37 82 31 81 26 80 21 79 17 78 13 77 1° 76 06 75 01 73 57 72 53 71 46 70 40 69 34 68 25 67 16 66 06 64 53 63 40 62 24 61 08 59 49 58 27 57 °4 55 39 54 11 52 4° 51 °7 49 3° 47 5i 46 08 44 23 42 33 40 41 38 44 36 44 34 39 32 32 30 20 28 05 25 4° 23 24 20 57 18 28 15 55 13 20 10 43 8 04 5 23 2 42 o 00 26° 180 00 159 22 142 40 13° 35 121 56 115 3° no 48 106 59 IQ3 51 lor 14 98 57 9° 59 95 1° 93 33 92 03 90 38 89 19 88 04 86 51 85 41 84 34 83 27 82 22 81 18 80 16 79 °3 78 II 77 °9 76 07 75 °4 74 °2 72 59 7i 55 70' 50 69 45 68 40 67 31 66 23 °5 13 64 02 62 49 °i 35 60 19 59 °° 57 4° 56 17 54 52 53 25 51 55 5° 23 48 47 47 °8 45 27 43 42 41 53 40 02 38 07 36 08 34 °5 31 59 29 49 27 35 25 19 22 58 20 34 18 07 15 37 13 06 10 31 7 55 5 17 2 39 o 00 27° 180 00 155 51 137 42 125 33 117 10 in 3° 107 08 103 42 100.54 98 32 96 30 94 42 93 °5 91 35 90 12 88 54 87 40 86 30 85 22 84 16 83 11 82 08 81 07 80 05 79 °5 78 04 77 °4 76 03 75 °4 74 °3 73 01 71 59 7° 57 °9 53 68 50 °7 45 66 38 65 3° 64 22 63 II 61 58 60 45 59 29 58 11 5° 53 55 3° 54 °6 52 39 51 1° 49 38 48 04 46 26 44 45 43 °2 41 14 39 23 37 3° 35 33 33 3° 31 26 29 18 27 06 24 51 22 33 20 II 1748 15 20 12 51 10 19 7 45 5 12 2 36 00 28° 180 00 15° 5° 131 27 "9 42 112 14 107 04 l°3 15 100 16 97 49 95 4° 93 58 9° 55 89 34 88 19 87 08 86 00 84 54 83 51 82 49 81 48 80 48 79 49 78 51 77 52 76 55 75 56 74 58 74 °° 73 °° 72 00 7° 59 69 59 6856 °7 53 66 50 65 43 64 37 63 29 62 19 61 07 59 55 58 40 57 23 56 04 54 44 53 19 51 54 5° 25 48 54 47 20 45 43 44 °4 42 21 4° 34 38 45 36 52 34 57 32 57 3° 53 28 47 2638 24 25 22 09 19 49 17 27 15 02 12 36 10 07 7 37 5 °5 2 33 o 00 2»° 180 00 143 41 123 34 112 58 106 36 102 19 99 " 96 42 94 4° 92 55 91 23 90 00 8843 87 32 86 24 85 20 84 18 83 18 82 20 81 21 80 25 79 29 78 32 77 36 76 41 75 45 74 49 73 52 72 55 71 57 70 59 70 00 69 00 67 59 66 57 °5 54 64 49 63 44 62 37 61 28 60 17 59 °5 57 51 56 35 55 16 53 5° 52 34 51 °8 49 4° 48 10 46 37 45 °l 43 23 41 41 39 56 38 08 36 16 34 22 32 23 30 22 28 18 26 10 23 59 21 45 19 27 17 08 14 46 12 21 9 5° 728 5 °° 2 3° 00 30° 180 00 132 22 "3 43 105 20 100 31 97 18 94 55 93 00 91 24 90 00 88 44 87 34 86 29 85 28 84 29 83 31 82 35 81 40 80 46 79 53 79 00 78 07 77 13 76 21 75 27 74 33 73 4° 72 45 7i 5° 70 54 S 57 68 59 68 00 67 01 66 00 64 58 63 55 62 50 61 44 60 35 59 26 58 14 57 °2 55 4° 54 28 53 °9 51 48 5° 23 48 5° 47 26 45 54 44 20 42 42 41 01 39 17 37 3° 35 4° 33 47 31 5° 29 5° 14 29 12 08 944 7 20 4 54 31° 1S0 00 114 28 i°i 53 9° 54 94 °3 92 03 90 31 89 12 88 03 87 01 86 02 85°7 84 13 83 21 82 31 81 40 80 51 80 01 79 12 78 23 77 33 76 44 75 55 75 °4 74 14 73 22 72 3° 7i 38 70 44 69 50 68 55 67 59 67 02 66 03 °5 °3 64 02 63 00 61 56 60 51 59 44 58 35 5% 24 56 12 54 57 53 41 52 22 51 °l 49 37 48 II 46 43 45 12 43 38 42. 01 40 22 38 39 36 53 35 °5 33 13 31 17 29 19 2748 27 18 25 41 25 14 23 33 23 °8 21 21 20 58 19 06 18 45 16 49 16 30 14 13 II 54 9 33 7 11 4 49 2 25 o 00 89 20 88 40 88 01 87 21 86 41 86 01 85 20 84 40 83 59 83 18 82 37 81 55 81 13 80 31 79 48 79 °5 78 21 77 37 76 52 76 07 75 21 74 35 73 47 72 59 72 10 71 21 70 30 69 39 68 46 67 52 6658 66 02 65 04 64 06 63 06 62 05 61 02 59 58 58 52 57 44 56 34 55 22 54 °8 52 53 51 35 5° 15 4852 47 27 46 00 44 29 42 57 41 21 39 43 38 01 36 1° 34 29 32 39 3° 45 28 49 26 50 24 47 22 42 20 35 18 24 16 12 13 57 11 41 9 23 7 °3 4 43 2 22 33° o 00 63 58 75 19 79 01 80 34 81 14 81 27 81 25 81 13 80 55 80 32 80 06 79 35 79 °4 78 30 77 55 77 18 76 41 76 01 75 21 74 40 73 58 73 14 72 3° 71 44 70 29 7° 57 6944 70 10 69 00 69 22 68 13 68 32 °7 25 67 41 66 36 66 50 65 56 65 02 64 05 63 08 62 10 61 09 60 08 59 °4 57 59 5° 52 55 43 54 32 53 20 52 05 50 48 49 28 48 07 46 43 45 16 43 47 42 16 40 40 39 °3 37 23 35 4° 33 54 32 05 3° 13 28 19 26 20 24 20 22 17 20 12 18 04 15 54 13 41 II 27 9 12 6 55 4 37 2 19 o 00 34° o 00 45 41 63 09 70 20 73 53 75 49 76 55 77 30 77 47 77 5i 77 45 77 33 77 16 76 54 76 28 76 01 75 3i 74 58 74 24 73 49 73 12 72 33 71 53 71 12 65 46 64 54 64 01 63 06 62 10 61 13 60 13 59 13 58 10 57 °° 56 00 54 53 53 43 52 31 51 17 50 01 48 42 '47 22 45 59 44 33 43 05 41 34 40 01 38 25 36 45 35 °3 33 19 31 32 29 41 2748 25 53 23 54 21 53 19 5° 17 43 15 3° 13 26 n 14 9 01 647 4 32 2 16 00 35° Hour Angle. / ll. in. 00 00 34 °7 10 52 54 20 62 20 30 67 30 40 70 32 50 72 26 1 00 73 37 10 74 20 20 74 46 30 74 5« 40 74 59 50 74 54 •i OO 74 43 10 74 27 20 74 °6 30 73 42 40 73 16 50 72 47 3 00 72 16 10 71 43 20 71 °7 30 7° 31 40 °9 53 50 69 12 4 OO 68 31 10 6748 20 67 04 30 66 18 40 65 28 50 64 41 5 00 63 52 10 63 00 20 62 07 30 61 12 40 60 16 50 59 18 6 OO 58 18 lO 57 17 20 56 n 30 55 08 40 54 °2 50 52 53 7 OO 51 42 10 50 29 20 49 1° 30 47 5° 40 46 37 50 45 15 8 OO 43 5° 10 42 23 20 4° 53 SO 39 21 40 37 45 50 36 08 9 OO 34 28 10 32 45 20 3°5» 30 29 10 40 27 19 50 25 25 10 00 23 28 10 21 29 20 19 28 30 17 24 40 15 18 , 50 13 11 11 00 11 01 10 8 si 20 ° 39 30 4 27 40 2 13 50 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 134 AZIMUTH OR TRUE BEARING. latitude: 32°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 32°. Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / / / / / / / / / t b. in. 00 O OO 00 00 00 00 00 00 00 00 00 00 00 O 00 10 26 42 21 41 18 09 15 30 13 28 11 5i 1° 33 9 28 18 20 8 35 7 48 7 °7 6 33 10 20 44 39 38 06 32 55 28 46 25 23 22 36 20 17 16 40 15 14 13 58 12 52 20 30 55 " 48 57 43 35 3858 35 °i 31 39 2843 26 11 23 59 22 01 20 18 18 47 30 40 6l 31 56 00 51 03 46 29 42 28 38 54 35 4i 32 51 30 19 28 02 25 59 24 08 40 50 65 29 60 39 56 09 51 57 48 05 44 34 41 19 38 22 35 4° 33 12 3°58 28 54 50 1 00 68 03 63 5° 59 48 55 57 52 21 48 58 45 47 42 51 40 07 37 35 35 15 33 °3 1 00 10 69 47 66 02 62 25 58 55 55 34 52 22 49 21 46 29 43 48 41 16 38 54 36 40 10 20 70 56 67 35 64 18 61 07 58 01 55 °2 52 10 49 26 46 49 44 20 41 59 39 44 20 30 71 42 68 40 65 4i 6245 63 58 59 53 57 06 54 24 56 09 51 48 49 17 46 52 44 34 42 21 30 40 72 11 69 24 66 41 61 18 58 43 53 42 51 18 48 58 46 44 44 33 40 50 72 27 69 54 67 22 6452 62 23 59 57 57 33 55 12 52 55 5° 4i 4832 46 26 50 2 00 72 32 70 12 67 51 65 3° 63 12 60 54 5838 56 26 54 15 52 06 " 50 01 47 59 2 00 10 72 31 70 19 68 08 65 56 63 46 61 37 59 29 57 21 5 ? J f 53 15 51 15 49 17 10 1 20 72 24 70 20 68 17 66 13 64 11 62 09 60 07 58 07 56 08 54 11 52 15 50 21 20 30 72 11 70 14 68 19 66 23 64 26 62 31 60 36 5841 56 47 54 55 53 °3 51 14 30 40 71 53 70 04 68 14 66 25 64 34 62 44 60 54 61 06 59 °5 57 17 55 28 53 42 51 55 40 50 71 32 69 49 68 05 66 20 64 36 62 51 59 21 57 38 55 55 54 11 52 29 50 3 OO 71 09 69 30 67 51 66 11 64 31 62 51 61 11 59 3i 57 52 56 12 54 33 52 54 3 OO 10 70 42 69 08 67 33 65 58 64 23 62 47 61 11 59 35 58 00 56 23 54 48 53 12 10 20 70 13 68 42 67 12 65 41 64 10 62 38 61 06 59 34 58 01 56 29. 54 57 53 25 20 30 69 41 68 15 66 48 65 20 63 53 62 24 60 55 59 27 57 58 56 29 55 °° 53 31 30 40 6908 67 45 66 21 64 57 63 33 62 68 60 42 59 16 57 5° 56 24 54 58 53 32 40 50 68 33 67 12 65 51 64 31 63 09 61 47 60 25 59 ° 2 57 39 56 16 54 52 53 29 50 4 00 6756 66 39 65 20 64 02 62 43 61 24 60 04 58 44 57 24 56 03 54 42 53 21 4 OO 10 67 16 66 02 64 46 63 3° 62 14 6058 59 4° 58 22 57 °5 55 46 54 28 53 1° 10 20 66 36 65 24 64 10 62 57 61 43 60 28 59 14 57 59 56 43 55 27 54 1° 52 54 20 30 65 54 64 43 63 32 62 21 61 10 59 57 58 44 57 31 56 18 55 °4 53 5° 52 36 30 40 65 10. 64 02 62 53 61 43 60 34 59 24 58 12 57 °2 55 5° 54 39 53 27 52 14 40 50 64 24 63 18 62 11 61 04 59 56 58 47 57 38 56 3° 55 20 54 1° 53 °° 51 49 50 5 00 63 38 62 32 61 27 60 21 59 15 58 09 57 °2 55 55 54 48 53 39 52 3° 51 21 5 00 io 62 49 61 46 60 42 59 38 58 33 57 29 56 23 55 17 54 12 53 °5 51 58 5° 51 10 20 61 59 60 57 59 55 58 53 57 49 56 46 55 42 . 54 38 53 34 52 29 51 24 50 18 20 30 61 06 60 07 59 °6 58 05 57 °3 56 02 54 59 53 57 52 54 51 5i 5° 47 49 43 30 40 60 13 59 15 58 15 57 15 56 16 55 15 54 14 53 13 52 12 51 1° 50 08 49 06 40 50 59 18 58 21 57 23 56 24 55 26 54 27 53 27 52 27 51 28 50 27 ■ 49 27 48 26 50 6 00 58 21 57 25 56 29 55 31 54 33 53 37 5238 51 4° 5° 42 49 42 48 42 47 43 6 00 10 57 23 56 28 55 32 54 36 53 4° 52 44 51 46 5° 50 49 53 4£ 5 P 47 57 4658 10 20 56 22 ■ 55 29 54 34 53 39. 52 45 51 49 5° 53 49 58 49 02 48 09 48 06 47 °8 46 11 20 30 55 2° 54 28 53 35 52 40 51 47 5° 53 49 58 49 04 47 14 46 18 45 23 30 40 54 17 53 24 52 32 51 4° 5° 47 49 54 48 53 49 °i 48 08 47 14 46 20 45 25 44 31 40 50 53 " 52 20 51 29 5° 37 49.45 48 02 47 1° 46 17 45 25 44 32 43 38 50 7 OO 52 °3 51 14 5° 23 49 32 48 25 48 42 47 5i 47 °° 46 09 45 17 44 26 43 34 42 42 7 00 10 5° 53 50 04 49 14 47 36 46 46 45 55 45 06 44 17 43 26 42 35 41 45 10 20 49 41 48 53 48 04 47 16 46 28 45 4° 44 5° 44 02 43 13 42 24 41 34 4° 45 20 30 48 26 47 39 46 52 46 05 45 18 44 3° 43 43 42 55 42 07 41 20 4° 31 39 43 30 40 47 1° 46 24 45 38 44 52 44 °5 43 19 42 32 41 46 40 59 40 13 39 26 38 39 40 50 45 51 45 °7 44 21 43 36 42 51 42 06 41 21 4° 35 39 5° 39 °4 38 19 37 33 50 8 00 44 3° 43 46 43 °2 42 18 41 34 40 50 40 06 39 22 38 37 37 54 37 °9 36 24 8 OO 10 43 °7 42 24 41 41 40 58 4° 15 39 32 38 48 38 06 37 23 36 41 35 57 35 14 10 20 41 40 4° 59 40 17 39 35 38 54 38 12 37 3° 36 49 36 07 35 26 34 43 34 02 20 30 . 40 12 39 31 38 51 38 10 37 3° 36 5° 36 08 35 28 34 48 34 08 33 28 32 47 30 40 38 4° 38 01 37 22 36 43 3° 03 35 25 34 45 34 °6 33 28 32 48 32 09 31 30 40 50 37 07 36 29 35 5° 35 13 34 35 33 57 33 19 32 41 32 04 31 27 3° 49 30 12 50 9 00 35 3° 34 53 34 17 33 4° 33 °3 32 27 31 51 31 15 3° 39 3° 03 29 26 28 51 9 00 10 33 52 33 16 32 41 32 05 30 28 31 3° 3° 56 30 20 29 46 29 11 28 37 28 02 27 27 10 20 32 09 31 36 31 02 29 54 29 21 2847 28 15 27 41 27 08 2636 26 03 20 30 3° 25 29 53 29 20 28 49 28 16 27 44 27 13 26 41 26 09 25 38 25 °7 24 36 30 40 28 28 28 07 27 37 27 06 26 36 26 05 25 35 25 °5 24 35 .24 06 23 36 23 07 40 50 26 49 26 20 25 5° 25 21 24 53 24 24 23 56 23 28 23 00 22 32 22 04 21 37 50 10 00 24 56 24 29 24 02 23 35 23 °8 22 41 22 15 21 49 21 23 20 57 20 31 20 04 IO OO 10 23 02 22 36 22 10 21 45 21 21 20 56 20 31 20 06 19 42 19 18 1854 17 16 18 31 10 20 21 05 20 42 20 18 19 55 19 31 19 °9 18 46 18 24 18 01 17 39 15 58 16 55 20 30 19 °5 18 44 18 22 18 02 17 4° 17 19 1658 1638 16 18 15 38 15 18 30 40 17 °3 16 45 16 25 16 06 15 48 15 29 15 10 14 52 14 34 14 15 13 57 13 39 40 50 15 °° 14 43 14 26 14 °9 13 52 13 36 13 21 13 °4 12 48 12 32 12 16 12 01 50 11 00 12 55 12 40 12 26 12 11 n 57 11 43 11 28 11 14 11 00 10 47 1° 33 10 20 11 00 10 10 48 10 36 10 24 10 12 10 00 9 47 9 36 9 24 9 12 9 01 8 49 8 37 10 20 8 40 8 30 8 21 8 10 8 01 7 52 7 42 7 33 7 23 7 14 7 °4 6 55 20 30 6 31 6 24 6 17 6 09 6 02 IS 5 47 5 4° 5 33 5 26 5 19 5 12 30 40 4 21 4 16 4 n 4 °7 4 01 3 52 3 47 3 42 3 37 3 33 3 29 40 50 2 11 2 08 2 06 2 03 2 01 1 59 156 1 54 1 51 1 49 1 46 1 44 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 135 AZIMUTH OR TRUE BEARING. LATITUDE 32°. DECIJNATION- -SAME NAME AS-LATITUDE. LATITUDE 32°. Hour Angle. 48° 40° 50° 51° 52° ' 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. m. o / / / / / / / / / / / / li. hi. 00 00 00 00 CO 00 00 00 00 00 00 00 00 00 10 20 30 40 50 6 02 5 35 5 11 4 49 4 29 4 11 3 55 3 39 3 26 3 13 3 01 2 50 10 ii 54 11 or 10 14 9 31 8 53 8 18 7 46 7 17 6 48 6 23 6 00 5 38 20 17 24- 16 10 15 °3 14 °3' 13 07 12 16 11 3° 10 47 10 07 13 18 9 29 8 55 8 23 30 22 28 2° 57 19 33 18 17 17 oS 16 04 15 °3 14 °9 12 29 11 45 II 03 40 27 01 25 17 23 41 22 13 20 52 19 36 18 25 17 20 16 18 15 21 14 27 13 3° 50 1 00 10 20 30 10 50 31 °3 29 10 27 25 25 48 24 17 22 52 21 32 20 19 19 °9 18 03 17 02 16 03 1 00 3+ 34 32 36 3° 45 29 02 27 24 25 53 24 26 23 °5 21 48 • 20 36 19 27 18 22 10 37 37 35 36 33 42 31 55 30 12 28 36 27 04 25 37 24 15 22 56 21 42 20 32 20 4° 15 38 13 36 18 34 28 32 43 31 °3 29 27 27 57 26 29 25 07 23 48 22 33 30 42 29 40 28 38 33 36 33 34 56 3° 53 33 14 31 35 3° °3 28 33 27 06 25 44 24 25 40 44 23 42 24 40 30 38 40 35 1° 33 31 31 56 30 23 2855 27 30 26 08 50 2 OO lO 20 30 40 50 46 00 44 °2 42 11 40 22 38 36 36 53 35 13 33 36 32 03 3° 34 29 07 27 42 2 00 47 21 48 29 45 28 43 38 41 5° 40 05 38 23 36 43 35 °7 33 33 32 02 30 33 29 08 lO 46 39 44 51 43 °5 41 22 39 41 38 02 3° 26 34 52 33 21 31 52 3° 25 20 49 25 47 38 45 54 44 1° 42 29 40 48 39 11 37 35 3° 02 34 30 33 02 31 44 30 50 10 48 27 46 45 45 °4 43 25 4i 47 40 10 3836 37 03 35 32 34 °3 32 36 40 5° 47 49 °7 47 28 45 49 44 12 42 36 41 01 39 28 37 57 36 26 34 57 33 30 50 3 00 10 20 51 16 49 39 48 02 46 26 44 5i 43 17 41 44 4° 13 38 42 37 12 35 44 34 18 3 00 51 38 5° °3 48 29 46 56 45 23 43 51 42 20 40 50 39 21 37 53 3° 25 35 °° 10 ( 51 53 5° 21 48 49 47 19 45 48 44 18 42 49 41 21 39 53 .38 26 37 00 35 35 20 30 40 50 52 02 5° 33 49 °4 47 3° 4b 08 44 4° 43 12 41 46 40 20 38 54 37 29 36 05 30 52 06 5° 39 49 14 47 47 46 21 44 55 43 3° 42 05 40 41 39 16 37 52 36 29 40 52 05 50 40 49 17 47 53 46 29 45 06 43 42 42 18 40 56 39 33 38 11 36 5° 50 4 OO 51 59 5° 37 49 16 47 55 46 33 45 11 ' 43 5° 42 28 41 06 39 '45 38 25 37 °4 4 OO 10 51 5° '5° 3° 49 12 47 52 46 32 45 12 43 52 42 33 41 13 39 53 38 34 37 15 10 20 51 37 50 20 49 °3 47 45 46 27 45 1° 43 51 42 33 41 15 39 57 38 39 37 21 20 30 51 20 50 06 48 5° 47 34 46 19 45 °2 43 46 42 29 41 14 39 57 38 40 37 23 30 40 51 01 49 48 48 34 47 20 46 07 44 52 43 37 42 23 41 08 39 53 3838 37 23 40 .50 5°38 49 27 48 15 47 °2 45 5° , 44 38 43 25 42 12 40 59 39 45 38 32 37 18 50 5 OO 50 12 49 °3 47 53 46 43 45 32 44 21 43 °9 41 58 40 47 39 34 38 22 37 10 5 00 10 49 44 48 36 47 27 46 19 45 1° 44 01 42 5° 41 41 40 31 39 20 38 10 36 59 10 20 49 13 48 06 46 59 45 52 44 45 43 37 42 29 41 21 40 12 39 03 37 54 36 44 20 30 48 39 47 34 46 29 45 24 44 18 43 12 42 05 40 58 39 51 38 43 37 35 36 27 30 40 48 02 46 59 45 55 44 52 43 48 42 42 41 37 40 32 39 26 38 20 37 13 36 07 40 50 47 24 46 22 45 20 44 17' 43 15 42 11 41 07 40 04 38 59 37 55 36 5° 35 45 50 6 OO 46 43 45 43 44 41 43 4° 42 41 41 37 4° 35 39 33 38 30 37 26 36 23 35 19 6 00 lO 46 00 45 °i 44 °2 43 °i 42 02 41 01 40 00 39 °° 37 58 3° 5° 35 54 34 51 10 20 45 14 44 17 43 19 42 20 41 22 40 22 39 23 38 24 37 23 36 23 35 22 34 22 20 30 44 27 43 3° 42 34 41 37 4° 39 39 41 38 44 37 45 3° 47 35 48 34 48 33 48 30 40 43 37 42 41 41 46 40 50 39 54 3858 38 01 '37 °5 36 07 35 10 34 11 33 13 40 50 42 45 4i 51 40 56 40 02 39 °8 38 13 37 17 36 22 35 26 34 30 33 34 32 37 50 7 OO 41 5° 40 58 40 05 39 I 2 38 19 37 26 36 31 35 37 34 43 33 47 32 53 31 58 7 OO 10 4° 54 40 02 39 12 3» 19 37 28 36 35 35 42 34 5° 33 57 33 03 ■ 32 09 31 16 10 20 39 55 39 05 38 16 37 25 36 35 35 43 34 52 34 °° 33 09 32 17 31 25 30 32 20 30 38 55 38 06 37 17 36 28 35 39 34 49 34 °° 33 10 32 19 31 29 30 38 29 47 30 40 37 52 37 04 36 17 35 3° 34 42 33 53 33 °5 32 16 31 28 30 39 29 5° 29 00 40 50 36 47 36 01 35 15 34 28 33 42 32 55 32 08 31 22 30 34 29 46 28 58 28 10 50 8 OO 35 4° 34 55 34 11 33 25 32 4° 31 55 31 °9 30 24 29 38 28 52 28 06 27 19 8 OO lO 34 3° 33 48 33 °4 32 20 31 37 3° 54 30 09 29 25 28 40 27 56 27 11 26 27 lO 20 33 20 32 38 31 55 31 13 3° 32 29 49 29 07 28 24 27 42 26 58 26 15 '25 32 20 30 32 °7 31 26 3° 46 3° °5 29 25 2843 28 02 27 21 26 40 25 58 25 17 24 35 30 40 3° 51 30 12 29 33 28 54 28 15 27 35 26 56 26 17 25 36 24 57 24 17 23 37 40 SO 29 34 2857 28 18 27 41 27 °4 26 26 25 48 25 10 24 32 23 54 23 1° 22 38 50 9 00 28 15 27 39 27 °3 26 26 25 5° 25 14 2438 24 02 23 25 22 49 22 13 21 3 6 9 OO 10 26 53 26 19 25 45 , 25 1° 24 35 24 01 23 26 22 52 22 17 21 42 21 08 20 33 10 20 25 3° 24 57 24 24 23 52 23 19 22 47 22 13 21 41 21 08 20 35 20 02 19 29 20 30 24 °5 23 33 23 °3 22 31 22 01 21 30 20 58 20 28 19 57 19 25 18 54 18 23 30 40 22 37 22 09 21 40 21 10 20 41 20 12 19 42 19 13 18 44 18 14 17 45 17 16 40 50 21 09 20 41 20 15 19 47 19 19 18 52 18 24 17 57 17 30 17 03 16 35 16 07 50 10 OO 19 39 19 13 18 47 18 22 17 57 17 31 17 °5 16 40 16 14 15 49 15 23 14 58 10 00 lO 18 06 17 43 17 19 1656 16 32 16 08 15 45 15 21 14 58 14 34 14 11 13 47 10 20 16 32 16 12 15 49 15 28 15 °° 14 45 14 23 14 02 13 4° 13 19 12 57 12 36 20 30 14 58 14 38 14 18 13 59 13 39 13 20 13 01 12 41 12 22 12 02 11 43 II 23 30 40 13 22 1304 12 46 12 29 12 11 11 54 11 36 11 20 11 02 10 44 10 26 10 09 40 50 11 44 11 29 11 13 10 57 10 42 10 27 10 II 9 57 9 41 9 26 9 10 8 55 50 11 OO 10 06 9 52 9 39 9 25 9 12 8 59 8 46 8 33 8 19 8 06 7 53 7 39 11 OO 10 8 27 8 15 8 04 7 52 7 41 7 3° 7 19 7 °9 6 57 6 46 6 35 6 25 10 20 6 46 636 6 28 6 19 6 09 4 38 6 01 5 53 5 43 5 34 5 26 5 16 5°8 20 30 5 °5 4 58 4 51 4 44 4 31 4 24 4 17 4 11 4 05 3 58 3 51 30 40 3 24 3 19 3 15 3 10 3 06 3 °i 2 57 2 52 2 48 2 43 2 38 2 34 40 50 1 41 1 39 I 37 1 35 I 32 1 3° 1 28 1 26 1 24 1 21 I 19 1 17 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 . In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 136 AZIMUTH OR TRUE BEARING. LATITUDE 33°. DECLINATION-SAME NAME AS— LATITUDE LATITUDE 32°. Hour Angle. 60° 61° 62° 63° 64° 65° 66 b 67° 68° 69° | 70° Hour Angle. ll. in. o / / / / f / 1 / / / / h. m. i© OO O 00 00 00 00 00 00 00 00 00 00 00 00 10 2 39 2 30 2 20 2 12 2 04 156 1 49 1 42 1 36 1 29 1 23 10 20 5 18 4 59 4 4° 4 23 6 32 4 °7 3 52 3 38 3 23 3 1° 2 58 2 46 20 30 7 52 7 24 658 6 08 5 4° 5 24 5°4 4 45 4 26 4 08 30 40 io 23 9 47 9 12 8 38 8 08 7 37 7 °9 6 43 6 17 5 53 5 2 2 40 50 12 <|8 12 03 II 22 10 42 10 03 9 27 852 8 19 7 47 7 1-7 6 48 50 1 00 15 07 14 16 13 26 12 39 11 54 11 12 10 31 9 53 9 16 8 40 8 06 1 00 10 17 20 16 21 15 26 14 33 13 42 12 54 12 07 11 23 10 41 10 01 9 22 10 20 19 2+ 18 20 17 19 16 20 15 24 14 31 13 4° 12 51 12 04 11 18 1° 34 20 30 21 21 20 11 19 06 18 03 17 02 16 04 15 °8 14 14 13 23 12 32 II 45 30 40 23 09 21 56 20 46 19 38 18 34 17 31 16 31 15 33 14 38 13 44 12 52 40 50 24 48 23 33 22 19 21 08 20 00 18 54 17 5° 16 49 15 5° 14 52 13 57 50 2 00 26 21 25 02 23 46 22 32 21 21 20 12 19 04 18 00 16 57 '5 57 14 58 2 00 10 27 44 26 23 25 05 23 49 22 35 21 23 20 14 19 06 18 01 16 58 15 56 10 20 29 00 27 37 26 17 24 59 23 44 22 31 21 19 20 08 19 00 17 54 16 50 20 30 30 08 28 45 27 24 26 04 24 48 23 32 22 18 21 06 19 56 iS 48 17 42 30 40 31 10 29 46 28 23 27 03 25 45 24 29 23 13 21 59 20 47 19 37 18 29 40 50 32 04 30 40 29 18 27 57 26 37 25 19 24 02 22 47 21 34 20 23 19 13 50 3 00 32 53 31 28 30 °5 28 44 27 24 26 05 24 48 23 33 22 18 21 05 19 53 3 OO lO 33 35 32 10 30 47 29 27 28 07 26 48 25 29 24 12 22 57 21 43 20 30 10 20 34 " 32 47 31 25 30 04 28 43 27 24 26 06 24 48 23 32 22 17 21 04 20 30 34 4i 33 18 31 56 3° 36 29 16 27 57 26 38 25 20 24 °4 22 48 21 34 30 40 35 07 33 45 32 24 32 40 31 °3 29 43 28 24 27 06 25 49 24 32 23 IS 22 01 40 50 35 28 34 °6 31 27 30 07 28 48 27 3° 26 12 24 55 23 40 22 25 50 4 00 35 44 34 23 33 04 31 45 30 27 29 08 27 5° 26 33 25 17 24 00 22 45 4 00 10 35 55 34 37 33 18 32 00 30 42 29 24 28 06 26 50 25 34 24 18 23 °3 10 20 36 03 34 46 33 28 32 11 30 53 29 3° 28 20 27 04 25 48 24 32 23 18 20 30 36 07 34 50 33 34 32 18 31 °2 29 46 28 30 27 14 25 58 24 43 23 29 30 40 36 07 34 52 33 37 32 21 31 06 29 51 28 35 27 21 26 07 24 52 23 38 40 50 36 04 34 50 33 36 32 22 31 °7 29 54 28 39 27 25 26 11 , 24 57 23 44 50 5 OO 35 57 34 45 33 32 32 19 31 °5 29 52 28 39 27 27 26 13 24 59 23 47 5 00 10 35 48 34 36 33 25 32 13 31 °i 29 49 28 37 27 24 26 12 24 59 23 47 10 20 35 35 ■ 34 24 33 14 32 04 30 52 29 42 28 31 27 20 26 08 24 57 23 4° 20 30 35 19 34 09 33 01 31 51 30 42 29 32 28 23 27 12 26 02 24 52 23 4i 30 40 35 00 33 52 32 45 31 37 30 29 29 20 28 11 27 °3 25 53 24 44 23 35 40 50 34 38 33 32 32 26 31 20 30 13 29 06 27 58 26 50 25 42 24 33 23 25 50 6 00 34 15 33 10 32 05 31 °° 29 54 28 48 27 42 26 35 25 28 24 21 23 14 6 00 10 33 48 32 45 31 41 3038 29 33 28 29 27 24 26 19 25 15 24 11 23 °7 10 20 33 19 32 17 31 15 3° 13 29 10 28 06 27 03 25 59 24 54 23 50 22 45 20 30 32 48 31 47 3° 47 29 46 28 44 27 42 26 40 25 38 24 34 23 31 22 28 30 40 32 15 31 16 30 16 29 16 28 16 27 16 26 15 25 14 24 12 23 10 22 08 40 50 31 39 30 42 29 44, 28 45 27 46 26 47 25 4§ 2448 23 48 22 48 21 46 50 7 OO 31 01 3° °5 29 09 28 12 27 15 26 17 25 19 24 20 23 22 22 23 21 23 7 00 10 30 22 29 26 28 32 27 37 26 41 25 44 24 47 23 51 22 53 21 56 2058 10 20 29 39 28 46 27 53 26 59 26 05 25 10 24 15 23 19 22 24 21 28 20 32 20 30 28 55 28 03 27 12 26 20 25 27 24 33 23 4° 22 47 21 53 20 58 20 03 30 40 28 09 27 19 26 29 25 38 24 47 23 5° 23 °4 22 12 21 18 20 26 19 33 40 50 27 22 26 33 25 45 24 55 24 06 23 15 22 25 21 35 20 44 19 52 19 01 50 8 00 26 32 25 46 2458 24 10 23 22 22 34 21 45 20 56 20 07 19 18 18 27 8 OO lO 25 41 24 56 24 10 23 24 22 38 21 51 21 04 20 17 19 30 18 42 17 53 10 20 24 47 24 04 23 20 22 36 21 51 21 06 20 21 19 36 18 49 18 03 17 17 20 30 23 53 23 11 22 29 21 46 21 03 20 20 19 36 18 52 18 09 17 24 16 39 30 40 22 57 22 16 21 36 20 55 20 14 19 32 18 51 18 08 17 26 16 43 16 00 40 50 21 58 21 19 20 41 20 02 19 23 18 42 18 03 17 23 16 42 16 01 15 21 50 9 OO 20 59 20 22 19 45 19 08 18 3° 17 52 17 14 1636 15 57 15 18 14 39 9 00 lO 19 57 19 23 18 47 18 12 17 3° 17 00 16 24 15 48 15 11 14 34 13 57 10 20 18 56 18 21 17 48 17 15 16 41 16 07 15 33 14 58 14 23 13 48 13 13 20 30 17 5i 17 20 16 49 16 17 15 44 15 12 14 40 14 08 • - 13 35 13 °2 12 29 30 40 16 46 16 16 15 47, 15 18 14 47 14 17 13 47 13 17 12 45 12 15 11 43 40 50 15 4° 15 12 14 44 14 16 13 48 13 21 12 52 12 24 11 55 II 27 10 58 50 10 00 14 32 14 07 13 41 13 15 12 49 12 23 11 56 11 31 11 04 10 37 10 11 10 00 10 13 24 13 00 12 36 12 12 II 49 11 24 11 00 10 36 10 11 946 9 22 IO 20 12 14 II 52 II 3° 11 09 10 47 10 25 10 02 9 4° 9 18 856 8 33 20 30 11 03 10 44 10 24 10 04 9 45 9 25 9 °5 8 45 8 24 8 04 7 44 30 40 9 52 9 34 9 16 9 00 8 42 8 24 8 06 7 48 7 3° 7 12 6 54 40 50 8 40 8 24 8 08 7 53 7 38 7 23 7 °7 651 °35 6 20 6 03 50 11 00 7 27 7 14 7 00 6 47 6 34 6 20 6 07 5 54 5 4° 5 26 5 12 11 00 10 6 13 6 02 5 51 5 4° 5 29 5 18 5 °7 4 55 4 44 4 32 4 20 10 20 4 59 4 51 4 42 4 32 4 23 4 14 4 06 \% 3 47 3 38 ' 3 3° 20 30 3 45 3 38 3 32 3 25 3 18 3 II 3 °5 2 51 2 44 238 30 40 2 29 2 25 2 21 2 17 2 12 2 08 2 03 1 59 1 54 1 49 I 43 40 50 i- 15 1 13 1 11 1 08 I 06 1 04 1 02 59 ° 57 ° 55 52 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; ana when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 137 AZIMUTH OR TRUE BEARING. LATITUDE 33°. DECUNATION- -SAME NAME AS— LATITUDE- LATITUDE 33°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. I>. in. o / / / / / t / / O T / t / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 10 20 30 40 50 165 40 164 06 162 06 159 31 156 03 151 °9 143 56 132 4° 114 42 89 19 63 42 45 20 10 152 44 150 05 146 52 142 54 137 58 131 43 123 49 "3 55 101 59 8838 75 08 62 51 20 Hi 55 138 46 135 °6 130 48 125 47 "9 55 «3 °8 105 26 96 57 87 57 78 52 70 06 30 133 11 129 55 126 15 122 07 117 30 112 22 106 43 100 35 94 04 87 16 80 25 73 40 40 126 11 123 01 119 32 "5 45 in 38 IO7 09 102 22 97 20 92 02 8635 81 04 75 37 50 1 00 10 20 30 40 50 I20 32 "7 33 114 20 no 54 107 12 IO3 18 99 12 94 54 90 27 85 54 81 18 76 42 1 OO "5 54' "3 07 no 09 107 02 103 44 IOO 17 96 41 92 57 89 07 85 12 81 16 77 18 10 112 02 109 27 106 44 I°3 52 100 54 97 48 94 37 91 19 87 57 8431 81 02 77 33 20 108 44 106 20 i°3 49 101 13 9831 95 43 92 5° 89 53 88 36 86 53 83 49 8043 77 37 30 105 53 103 38 101 18 98 55 96 26 93 53 91 16 85 52 83 07 80 19 77 31 40 103 22 101 16 99 °7 96 53 94 36 92 16 89 52 87 26 8456 82 25 79'52 77 17 50 2 00 101 06 99 °9 97 °8 95 °4 92 57 90 46 88 34 86 19 84 01 81 42 79 21 7658 2 OO io 99 °5 97 14 95 21 93 25 91 26 89 24 87 21 85 16 83 08 80 59 78 49 76 36 10 20 30 97 14 95 29 93 43 91 53 90 01 88 07 86 13 84 15 82 16 80 15 78 14 76 n 20 95 3° 93 51 92 10 90 27 88 42 86 55 85 06 83 16 81 25 79 32 77 37 75 42 30 40 93 54 92 20 9° +3 89 22 89 06 87 26 85 46 84 °3 82 19 80 34 78 47 77 °i 75 10 40 50 92 23 9" 53 87 49 86 14 84 39 83 02 81 23 79 43 78 03 76 21 74 38 50 3 OO 9° 57 89 3i 88 04 8635 85 °5 83 34 82 01 80 28 78 53 77 17 75 4° 74 °2 3 OO 10 S 34 88 12 86 48 85 23 8358 82 30 81 02 79 33 78 03 76 31 74 59 73 26 10 20 88 15 86 56 85 36 84 14 82 52 81 28 80 04 78 39 77 12 75 45 74 17 7248 20 30 40 86-59 85 42 84 26 83°7 81 48 80 27 79 °7 77 44 76 22 74 58 73 33 72 08 30 85 44 84 3i 83 16 82 00 80 44 79 27 78 09 76 50 75 3° 74 1° 72 49 71 27 40 50 8431 83 20 82 08 80 55 79 41 78 28 77 12 75 56 74 4° 73 22 72 °3 70 44 50 4 00 83 20 82 12 81 02 79 52 78 4° 77 28 76 16 75 °2 73 48 72 33 71 18 70 01 4 00 10 82 10 81 03 79 56 78 47 77 38 76 28 75 18 74 °7 72 55 71 43 70 30 69 16 IO 20 81 02 79 56 78 5° 77 43 76 37 75 28 74 21 73 11 . 72 02 7° 52 69 42 68 51 68 29' 20 30 79 53 7848 77 '45 76 40 75 35 74 29 73 23 72 16 71 08 70 00 67 42 30 40 78 44 77 42 76 40 75 37 74 33 73 3° 72 25 71 19 70 14 69 08 68 01 66 54 40 50 77 37 7636 75 35 74 33 73 31 72 29 71 26 70 22 69 19 68 14 67 °9 66 03 50 5 00 76 28 75 29 74 29 73 29 72 28 7i 27 70 26 69 24 68 25 68 22 67 19 66 16 65 12 5 OO IO 75 20 74 22 73 24 72 24 71 26 70 26 69 26 67 24 66 23 65 21 64 19 10 20 74 11 73 15 72 18 71 20 70 22 69 24 68 25 67 25 66 26 65 26 64 26 63 25 20 30 73 °3 72 07 71 10 70 15 69 17 68 20 67 23 66 25 65 27 64 28 63 29 62 29" 30 40 71 53 7° 57 70 03 §2 68 12 67 16 66 20 65 23 64 26 63 29 62 31 61 32 40 50 70 43 69 49 68.54 67 06 66 11 65 15 64 20 63 24 62 28 61 31 60 34 50 6 OO 69 31 6839 67 46 66 52 65 57 65 °4 64 10 63 15 62 21 61 26 60 30 59 35 6 OO IO 68 19 67 27 66 34 65 42 64 49 6356 63 °3 62 10 61 16 60 22 59 28 58-33 10 20 67 06 66 15 65 23 64 31 63 39 62 47 61 55 61 02 60 10 59 17 58 23 57 3° 20 30 65 52 65 00 64 10 63 19 62 28 61 37 60 45 59 53 59 01 58 10 57 17 56 25 30 40 64 35 f 3 *5 62 55 62 04 61 14 60 24 59 34 58 42 57 52 57 °i 56 09 55 18 40 50 63 17 62 28 61 38 60 49 60 00 59 1° 58 21 57 3° 56 41 55 5° 55 °° 54 1° 50 7 00 61 58 61 09 60 21 59 32 5842 57 54 57 °6 56 16 55 27 54 38 53 48 52 59 7 OO IO 60 37 59 48 59 °i 58 12 57 25 56 37 55 48 55 °° 54 12 53 24 52 36 5i 46 10 20 59 14. 58 26 57 39 56 51 56 04 55 19 54 3° 53 42 52 55 52 07 51 20 5° 32 20 30 57 48 57 01 56 15 55 28 54 41 53 55 53 °9 52 22 5i 36 5° 49 5° °3 49 16 30 40 56 20 55 34 54 49 54 02 53 17 52 31 51 45 5° 59 5° 14 49 28 48 43 47 57 40 50 54 50 54 04 53 20 52 34 51 49 51 °5 50 20 49 35 48 51 48 06 47 21 46 36 50 8 OO 53 17 52 32 51 48 51 °4 5° 19 49 36 48 52 48 08 47 24 46 40 45 56 45 12 8 00 10 51 42 5058 5° 15 49 31 48 47 48 05 47 21 46 38 45 56 45 13 44 3° 43 47 10 20 50 04 49 21 4838 47 55 47 13 46 30 45 48 45 °6 44 25 43 42 43 °l 42 19 20 30 48 02 47 4° 46 59. 46 16 45 35 44 53 44 12 43 31 42 51 42 10 41 29 40 48 30 40 46 38 45 57 45 15 44 35 43 54 43 H 42 34 41 54 41 14 4° 34 39 55 39 15 40 50 44 51 44 10 43 3° 42 5" 42 II 41 32 40 52 4° 13 39 35 3856 38 18 37 4° 50 » OO 42 59 42 20 41 41 41 02 40 23 39 45 39 °8 38 29 37 53 37 15 36 38 36 01 9 00 10 41 05 40 27 39 49 39 11 38 34 37 56 37 20 36 44 36 08 35 32 34 56 34 20 10 20 39 °7 38 3° 37 53 37 17 36 40 36 05 35 29 35 55 34 20 33 45 33 11 32 37 20 30 37 °5 36 29 35 54 35 19 34 44 34 °9 33 36 33 °2 32 29 31 56 31 24 3° 5° 30 40 34 59 34 24 33 51 33 17 32 44 32 II 31 39 31 07 3° 35 30 04 29 33 29 01 40 50 32 49 32 17 31 45 31 13 30 42 30 11 29 40 29 09 28 39 28 09 27 40 27 10 50 IO OO 3° 37 3° 05 29 36 29 05 28 36 28 06 27 37 27 08 26 40 26 12 25 44 25 17 10 00 IO 28 20 27 50 27 22 26 54 26 26 25 58 25 31 25 °4 24 38 24 12 23 45 23 20 10 20 25 59 25 32 25 05 24 39 24 14 23 48 23 22 22 58 22 33 22 09 21 45 21 21 20 30 23 35 23 10 22 46 22 23 21 58 21 34 21 II 20 48 20 26 20 04 19 42 19 21 30 40 21 07 20 44 20 23 20 01 19 39 19 18 18 58 18 36 18 16 17 56 17 37 17 17 40 50 18 37 18 16 17 57 17 37 17 18 17 00 16 41 16 23 16 05 15 47 15 29 15 12 50 11 00 16 03 15 45 15 28 15 11 14 55 14 39 14 22 14 06 13 51 13 35 13 20 13 05 11 OO 10 13 27 13 12 12 57 12 43 12 29 12 15 12 01 n 48 11 35 n 22 11 09 1° 57 10 20 10 49 8 08 10 36 10 25 10 13 10 01 9 5° 9 3? 9 28 9 18 9 08 8 58 8 47 20 30 7 59 7 5° 7 41 7 32 7 24 7 16 7 08 6 59 6 52 6 44 6 36 30 40 5 27 5 20 5 14 5 °8 5 °3 4 57 4 52 4 46 4 4° 4 35 4 29 4 25 40 50 2 44 2 40 2 37 2 35 2 32 2 29 2 25 2 23 2 21 2 18 2 15 2 12 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 138 AZIMUTH OR TRUE BEARING. LATITUDE 33°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 33°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° , 46° 47° Hour Angle. b. in. o / / / / / 1 / / / / / r b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 OO 10 33 48 26 24 21 26 17 55 15 17 13 17 11 41 10 24 9 19 8 26 7 4° 7 00 10 20 52 33 44 16 37 44 32 35 28 25 25 02 22 18 19 59 •18 03 16 18 1458 13 44 20 30 62 01 54 5° 48 33 43 10 38 34 34 37 31 15 28 20 25 48 23 36 21 40 19 58 30 40 67 13 61 09 55 36 50 35 . 46 04 42 02 38 27 35 15 32 24 29 53 27 37 25 34 40 50 70 17 65 09 60 17 55 45 51 32 47 38 44 05 40 51 37 53 35 " 32 43 30 3° 50 1 00 72 20 67 45 63 28 59 24 55 32 51 53 48 3° 45 19 48 52 42 22 39 37 37 °5 34 45 1 00 10 73 21 69 29 °5 41 62 01 58 30 55 °7 51 55 45 59 43 17 40 44 38 21 10 20 74 05 7° 38 67 15 63 56 60 43 57 35 54 34 51 41 48 55 46 18 43 48 41 26 20 30 74 30 71 24 68 20 65 18 62 20 59 27 56 39 53 54 5! 18 48 45 46 20 44 01 30 40 74 41 71 52 69 04 66 17 63 33 60 53 58 16 55 4i 53 11 50 46 48 25 46 10 40 50 74 43 72 07 69 33 67 00 64 27 61 57 59 3° 57 04 54 42 52 24 50 09 47 5* 50 2 00 74 36 72 13 6 9°i 67 28 65 07 62 46' 60 28 58 10 55 55 53 43 51 34 49 27 2 00 lO 74 24 72 11 69 58 67 45 65 33 63 21 61 11 59 °° 56 52 54 47 52 43 5° 42 10 20 74 07 72 03 6958 °7 53 65 49 63 45 61 41 59 38 57 37 55 37 ■53 38 51 42 20 30 73 46 71 49 69 52 67 55 65 57 63 59 62 03 60 06 58 11 56 15 54 22 52 3° 30 40 73 22 71 32 69 41 67 49 65 59 64 07 62 16 60 25 58 35 56 45 54 56 53 °8 40 50 72 55 71 10 69 25 67 39 65 54 • 64 08 62 23 60 36 58 51 57 °5 55 21 53 37 50 3 00 72 25 70 46 69 06 67 25 65 45 64 03 62 23 60 42 59 01 57 20 55 39 53 58 3 00 lO 7i 52 70 18 68 42 67 07 65 30 63 54 62 18 60 40 59 °4 57 26 55 50 54 14 10 20 71 18 69 48 68 17 66 45 65 13 63 40 62 08 60 34 59 °2 57 28 55 55 54 22 20 30 70 42 69 16 67 48 66 21 64 52 63 23 61 55 60 25 58 55 57 25 55 o5 54 24 30 40 70 05 68 41 67 17 65 53 64 28 63 02 61 37 60 10 58 44 57 17 55 50 54 23 40 50 69 25 68 05 66 44 65 23 64 01 62 38 61 16 59 52 58 29 57 05 55 41 54 16 50 4 00 68 44 67 27 66 09 64 50 63 31 62 12 60 52 59 31 58 10 56 49 55 27 54 06 4 OO 10 68 02 66 47 65 31 64 16 62 59 61 42 60 25 59- °6 57 48 56 29 55 11 53 52 10 20 67 18 66 05 64 53 63 39 62 25 61 10 59 54 58 40 56 5° 5608 54 51 53 34 20 30 66 33 65 22 64 11 63 00 61 48 60 35 59 23 58 10 55 42 54 27 53 13 30 40 65 46 64 37 63 28 62 19 61 10 59 59 58 49 57 37 5626 55 14 54 01 52 49 40 50 64 58 63 51 62 44 61 37 60 29 59 20 58 12 57 °2 55 53 54 43 53 32 •52 21 50 5 00 64 08 63 °3 61 58 60 53 59 46 58 39 57 33 56 26 55 18 54 1° 53 01 51 52 5 00 10 63 17 62 14 61 10 60 07 59 °2 57 57 56 53 55 46 54 4° 53 33 52 26 51 19 lO 20 62 25 61 23 60 21 59 19 58 16 57 12 56 09 55 °4 54 01 52 5° 51 5° 50 45 20 30 •61 31 60 30 59 29 58 29 57 27 56 26 55 24 54 22 53 19 52 15 51 11 SO 07 30 40 60 35 59 35 5836 57 37 5638 55 37 54 36 53 35 52 34 51 32 50 30 49 22 40 50 59 38 58 40 57 42 56 44 55 46 54 4° 53 48 52 48 51 48 50 48 49 47 48 46 50 6 OO 58 39 57 43 56 40 55 49 54 51 53 54 52 57 '51 58 51 00 50 00 49 01 48 02 6 00 10 57 39 56 43 55 48 54 52 53' 57 53 °o 52 04 5.1 °° 50 10 49 12 48 14 47 16 10 20 56 37 55 42 54 48 53 53 52 59 52 03 5i °9 5° 13 49 17 48 20 47 24 46 27 20 30 55 32 54 40 53 47 52 53 51 59 51 °5 50 12 49 lS 48.23 47 26 47 27 46 32 45 36 30 40 54 26 53 35 52 43 ■ 51 5'- 50 58 50 05 49 13 48 12 48 20 46 33 45 38 44 33 40 50 53 19 52 29 51 37 50 47 49 55 49 °3 47 20 46 28 45 35 44 42 43 49 50 7 00 52 10 51 20 50 30 49 41 48 50 47 59 47 1° 46 18 ' 45 27 44 35 43 45 42 52 7 00 10 50 58 50 10 49 20 48 09 48 32 47 43 46 53 46 04 45 14 44 24 43 34 42 44 41 54 lO 20 1 , 49 45 4856 47 21 46 33 45 45 44 57 44 °8 43 20 42.3a 41 42 40 53 20 30 48 29 47 42 46 56 46 09 45 22 44 35 43 48 43 °° 42 13 41 25 40 38 39 50 30 40 47 » 46 26 45 4° 44 54 44 °9 43 22 42 37 41 50 41 °4 40 17 39 32 38 45 40 50 45 52 45 °7 44 22 43 38 42 53 42 08 41 24 40 38 39 54 39 °8 .38 23 37 37 50 8 00 44 29 43 45 43 02 42 18 41 34 40 51 40 08 39 24 38 39 37 5° 37 13 36 28 8 OO 10 43 05 41 38 42 22 41 40 40 57 40 15 39 32 3851 38 08 37 25 36 42 36 00 35 17 10 20 4056 4° 15 39 34 S852 38 11 37 30 36 49 36 08 35 26 34 45 34 05 20 30 40 08 39 28 38 48 38 08 37 27 3648 36 08 35 29 34-49 34 09 32 48 33 29 32 5° 30 40 38 37 37 58 37 18 36 39 36 01 35 22 34 44 34 °5 33 27 32 09 31 30 40 50 37 02 36 24 35 47 35 °9 34 31 33 54 33 17 32 4° 32 03 31 26 30 48 30 12 50 9 00 35 25 34 48 34 12 '' 33 36 33 00 32 24 31 48 31 12 3° 37 30 01 29 25 28 50 9 00 10 33 46 33 10 32 36 32 01 31 27 30 52 30 18 29 43 29 09 2834 28 00 27 27 10 20 32 03 31 30 30 56 30 23 29 50 29 17 28 44 28 12 27 39 27 06 26 34 26 01 20 . 30 30 19 29 46 29 15 28 43 28 II 27 4° 27 10 26 38 26 07 25 36 25 05 24 35 30 40 28 32 28 01 27 3° 27 01 26 31 26 01 25 32 25 02 24 32 24 °3 23 34 23 06 40 50 26 42 26 12 25 44 25 16 24 48 24 19 23 52 23 24 22 56 22 29 22 02 21 35 50 10 00 24 50 24 23 . 23 56 23 29 23 03 22 37 22 11 21 45 21 19 20 53 20 28 20 03 10 00 lO 22 55 20 58 22 29 22 05 21 40 21 15 20 51 20 27 20 03 19 39 17 58 19 15 18 52 18 28 10 20 20 34 20 12 19 5° 19 26 19 04 18 43 18 20 17 36 17 14 16 53 20 30 'f 5 ! 1838 18 17 17 56 17 36 17 15 16 55 16 34 16 15 15 55 15 36 15 16 30 40 1658 16 39 16 19 16 02 15 43 IS 24 15 °7 14 48 14 31 14 12 13 55 13 38 40 50 14 55 14 38 14 22 1405 13 49 13 33 13 16 13 00 12 45 12 29 12 13 11 58 50 11 OO 12 51 12 36 12 22 12 07 " 53 11 38 11 25 11 11 10 58 10 44 10 31 10 17 11 00 10 10 45 10 32 10 20 10 08 9 56 9 44 9 33 9 21 9 10 858 8 47 8 3° 10 20 8 37 8 27 8 18 8 08 " 7 58 7 49 7 39 7 3° 7 21 7 12 Hi 6 54 20 30 6 29 6 21 6 14 6 06 6 00 5 52 5 46 5 38 5 31 5 25 5 11 30 40 4 19 4 15 4 10 4 05 4 00 3 55 3 5° 3 46 3 42 3 37 3 32 3 27 40 50 2 10 2 08 2 05 2 02 2 00 1 57 1 55 1 53 1 51 1 48 1 46 1 44 50 ia 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 139 AZIMUTH OR TRUE BEARING. LATITUDE 33°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 33° Hour Angle. h. 10 11 13 in. 00 10 30 30 40 50 OO 10 30 30 40 50 00 10 30 30 40 SO 00 10 30 30 40 50 OO lO 30 30 40 50 OO 10 30 30 40 60 OO lO 30 30 40 50 00 lO 30 30 40 50 00 10 30 30 40 50 00 lO 30 30 40 50 OO 10 30 30 40 50 00 10 30 30 40 50 OO 48° O OO 6 26. 12 34 18 27 =3 43 28 26 32 33 3° 08 39 °7 4i 47 43 59 45 51 47 24 48 42 49 4S 5°38 51 20 51 54 52 18 52 36 52 48 '52 54 52 55 52 52 52 43 52 3' 52 16 51 57 51 35 51 10 50 42 50 12 49 39 49 °3 48 25 47 45 47 °3 46 17 45 31 44 41 43 5° 42 56 42 01 41 04 40 04 39 01 37 59 36 52 35 44 34 34 33 23 32 09 3° 52 29 35 28 15 26 53 25 29 24 04 22 36 21 07 19 37 18 05 16 31 14 57 13 20 11 43 10 04 8 25 6 45 5 04 3 23 I 42 o 00 49° o 00 5 55 " 39 17 °5 22 04 26 33 3° 32 34 °2 37 03 39 40 41 54 43 48 45 24 46 45 47 53 48 49 49 35 .50 11 5° 39 51 °i 5i 15 51 25 51 28 51 27 50° 51 21 51 12 5°58 5° 42 50 22 49 59 49 32 49 °4 48 32 47 58 47 21 46 43 46 02 45 18 44 32 43 45 42 55 42 03 41 °9 40 12 39 14 38 13 37 II 36 07 34 59 33 51 32 41 31 28 3° 14 28 58 27 39 26 19 24 56 23 33 22 07 20 40 19 12 17 41 16 10 14 37 13 °3 11 27 9 5i 8 14 6 36 457 3 18 1 39 00 o 00 5 29 10 48 15 51 20 34 24 50 28 4° 32 °i 35 03 37 3» 39 53 41 48 43 27 44 51 46 01 47 01 47 5° 48 3° 49 °i 49 25 49 43 49 55 50 00 50 02 49 59 49 51 49 4° 49 26 49 08 48 46 ,48 22 47 55 47 25 46 53 46 18 45 41 45 01 44 18 43 35 42 48 4i 59 41 09 40 15 39 21 38 24 37 24 36 23 35 20 34 15 33 °8 31 59 3° 47 29 35 27 03 25 45 24 24 23 02 21 38 20 13 18 46 17 18 15 49 14 17 12 46 11 12 9 38 8 03 6 27 4 51 3 14 I 37 o 00 51° o 00 5 °4 10 01 14 45 19 10 23 14 26 55 30 14 33 °8 35 42 37 5° 39 53 41 34 43 °o 44 13 45 15 46 07 46 49 47 24 47 50 48 10 48 24 48 33 4838 48 36 48 31 48 22 48 10 47 53 47 34 47 12 46 46 46 18 45 47 45 14 44 38 44 00 43 19 42 37 41 52 41 04 4° 15 39 23 38 3° 36 36 35 36 34 34 33 3o 32 25 31 17 52° 30 07 28 56 27 42 26 27 25 10 23 52 22 32 21 09 19 46 18 21 16 5.5" 15 27 13 58 12 28 1° 57 9 25 7 52 6 19 4 45 3 1° 1 35 00 4 43 9 W 13 45 17 55 21 47 25 18 28 30 31 20 33 51 36 05 38 02 39 43 41 II 42 26 43 31 44 24 45 °9 45 47 46 15 46 38 4° 55 47 °° 47 12 47 13 47 11 47 °3 46 53 46 39 46 21 46 00 45 37 45 11 44 41 44 09 43 35 42 58 42 19 41 37 4° 54 40 08 39 20 38 3° 37 38 36 43 35 47 34 48 33 48 32 45 31 42 3° 35 29 27 28 17 27 °5 25 52 24 36 23 19 22 01 20 41 19 19 17 56 16 32 15 °6 13 39 12 10 10 42 9 12 7 41 6 10 4 38 3 °5 I 33 o 00 53° 54° 1 / 00 00 4 23 4 °5 8 41 8 07 12 50 11 59 16 46 15 42 20 24 19 10 23 47 22 24 26 52 25 21 29 38 28 02 32 06 30 27 34 18 36 14 32 37' 34 32 37 56 36 14 39 25 37 43 40 42' 39 °° 41 48 40 08 42 44 41 05 43 31 41 54 44 10 42 36 4442 43 10 45 °7 43 36 45 26 43 58 45 4° 44 14 45 48 44 23 45 51 44 29 45 5° 44 3° 45 45 44 27 45 36 44 20 45 24 44 °9 45 °8 43 55 44 49 43 37 44 27 43 17 44 °3 42 54 43 35 42 28 43 °4 41 59 42 32 41 29 41 57 40 54 41 19 40 18 40 38 39 4° 39 56 38 59 39 12 38 16 38 26 37 3° 37 36 36 43 36 45 35 54 35 53 35 °2 34 58 34 °8 34 01 33 13 33 °2 32 15 32 01 31 16 3° 58 3° 14 29 53 29 11 ■ 28 46 28 06 27 38 26 59 26 28 25 51 25 16 24 41 24 02 23 28 22 48 22 15 21 30 21 00 20 12 19 43 18 52 18 26 17 31 17 06 16 08 15 45 14 44 14 24 13 20 13 °° 11 53 11 36 10 26 10 11 8 59 8 45 7 3° 7 19 6 01 5 52 4 3i 4 24 3 °° 2 56 1 3° 1 28 00 00 55° 00 3 49 7 35 11 14 1442 18 00 21 05 23 55 26 30 28 51 3° 59 32 52 34 34 36 03 37 21 38 29 39 28 40 19 41 02 41 37 42 06 42 29 42 46 42 59 43 °7 43 °9 43 °8 43 °2 42 53 42 42 42 26 42 07 41 46 41 20 4° 54 40 24 39 52 39 16 30 39 38 00 37 18 36 35 35 49 35 °I 34 1° 33 18 32 25 31 28 3° 3° 29 3° 28 28 27 25 26 20 25 13 24 04 22 54 21 42 20 28 19 14 17 58 16 40 15 21 14 02 12 41 11 18 9 56 8 32 7 08 5 43 4 17 2 52 1 26 56° 57° 58° 59° / 1 / / 00 00 00 00 3 34 3 21 3 08 2 56 7 06 6 39 6 14 5 5° 10 31 9 51 9 15 8 41 1.3 4« 12 57 12 10 II 25 16 55 15 54 14 58 14 04 19 50 18 40 17 35 16 34 22 33 21 17 20 05 18 56 25 °3 23 41 22 24 21 09 27 20 25 54 24 32 23 13 29 24 27 55 26 29 25 °6 31 16 29 44 28 16 26 51 32 56 31 23 29 52 28 25 34 25 32 51 31 20 29 5° 35 43 34 1° 32 38 31 °8 36 53 35 19 33 47 32 17 37 52 36 19 34 49 33 18 38 44 37 12 35 42 34 12 39 29 37 58 3628 34 59 40 06 38 36 37 °8 35 39 4° 36 39 °8 37 41 36 13 41 01 39 35. 38 08 36 42 41 20 39 56 38 31 37 °5 41 34 40 .11 38 47 37 24 41 44 40 22 39 °° 37 38 4i 48 40 28 39 °8 37 47 41 48 40 29 39 12 37 51 41 45 40 28 39 11 37 53 41 38 \ 40 22 39 °7 37 51 41 28 40 14 39 °° 37 44 41 13 40 01 38 49 37 35 40 56 39 46 38 35 37 23 40 36 39 27 38 18 37 °7 4° 13 39 °5 37 57 3648 39 47 38 41 37 35 36 27 39 19 38 14 37 °9 36 04 38 48 37 45 36 42 35 36 38 15 37 13 36 11 35 °8 37 40 36 39 35 38 34 36 37 °l 36 02 35 °4 34 °3 36 21 35 23 34 26 33 27 35 38 34 42 33 47 32 49 34 54 34 °° 33 °5 32 09 34 °7 33 14 32 21 31 27 33 18 32 27 3l 35 3° 43 32 28 31 38 30 48 29 5fi 31 35 30 46 29 58 29 08 3° 41 29 54 29 06 28 18 29 44 28 59 28 13 27 26 28 46 28 02 27 18 26-33 27 46 27 04 26 21 25 37 2644 26 03 25 22 24 40 25 40 25 01 24 21 23 41 24 35 23 58 23 20 22 41 23 28 22 52 22 16 21 39 22 20 21 46 21 11 20 35 21 09 20 37 20 04 19 31 19 58 19 27 18 56 18 25 18 45 18 16 17 47 17 17 17 3° 17 03 16 36 16 08 16 15 15 5° 15 25 14 59 1348 1458 14 35 14 12 13 4° 13 19 12 58 12 37 12 21 12 02 II 43 11 24 11 02 10 44 9 26 10 27 10 10 9 41 9 II 8 55 8 20 8 06 7 53 7 41 6 57 6 46 636 6 24 5 34 526 5 17 5 °8 4 II 4 °5 3 58 3 51 2 48 2 43 2 39 2 34 1 24 1 22 1 20 1 18 00 00 00 00 Hour Angle. li. O 13 111. 00 lO 30 30 40 50 OO lO 30 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 OO 10 30 30 40 50 OO 10 30 30 40 50 00 10 30 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 140 AZIMUTH OR TRUE BEARING. LATITUDE 33°. DECLINATION— SAME NAME AS- LATITUDE. LATITUDE 33°. Hour Ad gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. o / / / r ' / / / / / / li. 111. 00 oo 00 00 00 00 00 00 00 00 00 00 00 10 2 45 2 34 2 25 2 16 2 08 1 59 1 51 1 44 1 38 1 32 1 25 10 20 5 08 4 49 4 31 4 14 3 58 3 43 3 29 3 16 3 °2 2 50 20 30 I 08 7 38 7 " 6 44 6 19 5 55 5 32 5 12 4 52 4 32 4 14 30 40 io 44 10 05 9 28 8 54 8 22 7 5° 7 21 6 52 6 26 6 01 5 36 40 50 13 14 12 26 ' 11 42 11 00 10 20 942 9 06 831 7 59 7 27 ,°57 50 1 00 15 36 14 42 13 49 13 01 12 14 11 30 10 47 10 08 9 29 852 817 1 00 10 17 52 16 50 15 5 2 14 57 14 04 13 13 12 25 II 40 10 56 10 14 9 34 10 20 1958 18 52 17 48 16 46 15 49 14 53 14 00 13 09 12 20 11 33 10 48 20 30 21 57 20 45 19 37 18 31 17 28 16 27 15 3° 14 35 13 4° 12 49 12 00 30 40 33 46 22 31 21 18 20 08 19 01 17 56 16 55 15 55- 14 58 14 02 13 °8 t2 50 25 27 24 09 22 53 21 39 20 29 19 20 18 15 17 12 16 10 15 " 14 13 60 2 00 27 01 25 39 24 20 23 04 21 50 20 39 19 30 18 24 17 19 16 16 15 16 2 OO 10 28 25 27 02 25 40 24 22 23 OS 21 51 20 40 19 30 18 23 17 18 16 15 IO 20 29 41 28 16 26 53 25 33 24 IS 22 59 21 45 20 33 19 23 18 15 17 09 20 30 30 49 29 23 27 59 26 3S 25 18 24 00 22 45 21 31 20 19 19 10 18 01 30 40 31 49 30 23 28 59 27 37 28 29 26 16 24 57 23 40 22 25 21 11 19 59 18 49 40 50 32 43 31 18 29 53 27 08 25 48 24 31 23 14 21 59 20 45 .• 19 33 50 3 00 33 31 32 05 30 41 29^7 27 55 26 35 25 16 23 59 22 42 21 27 20 14 3 00 10 34 12 32 47 31 22 29 59 28 37 27 16 25 57 24 38 23 21 22 05 20 51 IO 20 34 47 33 22 31 59 3° 36 29 13 27 52 26 32 25 14 23 57 22 40 • 21 24 20 30 35 17 33 53 32 3° 31 07 29 46 28 24 27 t>4 25 45 24 28 23 II 21 54 30 40 35 41 34 19 32 55 31 33 30 12 28 52 27 32 26 14 24 56 23 38 22 21 40 50 36 01 34 39 33 17 31 56 30 35 29 15 27 56 26 37 25 19 24 01 22 45 SO 4 00 36 16 34 55 33 34 32 14 30 54 29 34 28 15 26 57 25 39 24 22 23 °5 4 00 10 36 26 35 07 33 47 32 27 31 09 29 49 28 31 27 13 25 56 24 38 23 22 IO 20 36 33 35 14 33 56 32 37 31 19 30 01 28 44 27 27 26 10 24 53 23 36 20 30 36 35 35 18 34 01 32 43 31 26 30 09 2853 27 36 26 19 25 °3 23 47 30 40 36 34 35 19 34 02 32 46 31 31 30 14 28 58 27 43 26 26 25 10 23 55 40 50 36 3° 35 15 34 00 32 45 31 30 30 15 29 00 27 45 26 30 25 15 24 01 . 50 5 00 36 21 35 08 33 55 32 41 31 28 30 14 29 00 27 46 26 32 25 18 24 04 5 00 io 36 II 34 59 33 47 32 34 31 21 30 09 28 56 27 44 26 30 25 17 24 °4 10 20 35 56 34 46 33 35 32 24 31 13 30 01 28 50 27 38 26 26 25 14 24 01 20 30 35 39 34 31 33 22 32 11 31 01 29 51 28 41 27 30 26 18 25 07 23 57 30 40 35 19 34 12 33 °4 31 56 30 47 29 38 28 28 27 19 26 10 24 59 23 49 40 50 34 57 33 52 32 45 31 38 30 30 29 22 28 15 27 06 25 58 24 49 23 4" 50 6 00 34 32 33 28 32 23 31 16 30 10 29 05 27 58 26 51 25 43 24 36 23 27 6 OO 10 34 05 33 02 31 58 30.53 29 49 28 44 27 38 26 33 25 27 24 21 23 13 IO 20 33 35 32 33 31 30 30 28 29 25 28 58 28 22 27 18 26 13 25 09 24 03 22 57 20 30 33 °3 32 02 31 00 30 00 27 56 2 S H 25 50 24 47 23 43 22 40 30 40 32 28 31 29 30 30 29 30 28 29 27 29 26 28 25 27 24 25 23 23 22 21 40 50 31 51 30 54 29 56 28 57 27 59 27 00 26 01 25 00 23 59 22 58 21 58 50 7 00 31 13 30 17 29 21 2843 28 23 27 26 26 28 25 30 24 32 23 33 22 33 21 33 7 00 10 3° 3 2 29 38 27 47 ' 26 52 25 55 24 58 24 02 23 °4 22 06 21 07 10 20 29 50 28 56 28 03 27 09 26 15 25 19 24 25 23 29 22 33 21 37 20 40 20 30 29 05 28 13 27 21 26 28 25 36 24 43 23 50 22 56 22 01 21 06 20 II 30 40 28 18 27.28 26 38 25 46 24 55 •24 04 23 13 22 20 21 27 20 33 19 40 40 50 27 29 26 41 25 52 25 03 24 14 23 24 22 33 21 43 20 52 20 00 19 09 50 8 00 26 39 25 53 25 05 24 18 23 30 22 41 21 53 21 04 20 14 19 24 18 35 8 OO 10 25 48 25 02 24 16 23 30 22 44 21 58 21 II 20 23 ! f £| 18 48 17 59 IO- 20 24 53 24 10 23 26 22 42 21 58 21 13 20 27 19 42 18 56 18 10 17 23 20 30 23 58 23 17 22 35 21 51 21 09 20 26 19 43 18 59 18 15 17 30 16 45 30 40 23 01 22 21 21 41 21 00 20 19 19 37 18 55 IS 14 17 31 16 49 16 06 40 50 22 03 21 25 20 45 20 06 19 27 18 48 18 07 17 28 16 47 16 06 15 25 50 9 00 21 02 20 25 19 48 19 12 18 34 17 57 16 28 16 40 16 02 15 23 14 44 9 00 110 20 01 19 26 18 51 18 16 17 40 17 04 15 52 15 15 14 38 14 01 10 20 18 58 18 26 17 52 17 18 16 45 lb 10 15 36 15 02 14 27 13 53 13 17 20 30 17 54 17 23 16 52 16 19 15 47 15 l6 14 43 14 IT 13 39 13 06 12 33 30 40 16 48 16 19 15 49 15 20 14 50 14 20 13 50 13 19 12 48 12 18 11 47 40 50 15 41 15 15 14 47 14 19 13 5' 13 23 12 55 12 27 II 58 11 29 II 00 50 10 00 14 33 14 08 13 43 13 17 12 51 12 26 11 59 11 33 11 07 10 39 10 13 10 00 10 13 24 13 "I 12 38 12 14 11 5° II 26 11 03 10*38 10 14 8 49 , 9 24 10 20 12 15 11 54 11 32 11 10 10 48 10 27 10 05 9 43 9 20 8 58 8 35 20 30 11 04 10 45 10 25 10 06 9 46 9 26 9 07 8 47 8 27 8 06 7 46 30 40 9 53 9 35 Q I§ 9 00 8 43 8 25 8 07 7 5° 7 32 7 14 656 40 50 8 42 825 8 10 7 55 7 39 7 23 7 08 6 53 6 36 6 21 6 05 50 11 00 7 27 7 14 7 00 6 47 6 35 6 21 6 07 5 54 5 4° 5 27 5 14 11 00 10 6 13 6 03 5 52 5 40 5 29 5 18 5 °7 4 56 4 45 4 33 4 22 10 20 4 59 4 50 4 42 4 33 4 24 4 15 4 °7 3 57 3 48 3 39 3 30 20 30 3 45 3 38 3 32 3 25 3 18 3 " 3 °4 2 59 2 52 2 45 2 37 30 40 2 30 2 26 2 21 2 17 2 12 2 08 2 03 1 59 1 54 1 49 1 45 40 50 . 1 16 1 ^3 I II 1 oS 1 06 1 04 1 02 I 00 58 ° 55 ° 53 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. 1 In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the l star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 141 AZIMUTH OR TRUE BEARING. LATITUDE 34°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 34°. Hour Angle. 34° 25° 26° 27° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. O lO 12 in. 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 lO 18 40 50 00 180 00 167 02 155 °7 144 5° 136 17 129 15 123 28 118 38 "4 34 in 05 108 02 105 23 102 58 100 49 98 49 9° 59 95 1° 93 39 92 08 90 41 89 17 87 55 R°37 85 21 84 06 82 53 81 39 80 28 79 17 78 06 7° 55 75 45 74 33 73 22 72 11 7058 69 44 68 30 °7 15 65 58 64 40 63 20 62 00 60 36 59 " 57 45 56 15 54 44 53 1° 51 33 49 53 48 12 46 26 44 38 42 46 40 50 38 52 36 5° 34 44 32 35 30 22 28 05 25 45 23 22 20 55 18 26 15 53 13 19 10 41 8 02 5 22 2 41 o 00 180 00 165 46 152 55 142 08 133 23 126 23 120 41 116 00 112 06 108 46 i°5 52 103 20 101 03 99 00 97 0° 95 21 93 44 92 11 9° 43 „ 9 IO 87 58 86 40 85 24 84 10 82 58 81 46 80 35 79 25 78 16 77 °7 75 57 74 47 73 37 72 27 71 16 70 05 68 52 67 38 66 24 65 08 63 51 62 32 61 11 59 49 58 25 56 59 55 30 54 °° 52 26 5° 5i 49 12 47 3i 45 46 '43 58 42 07 4° 13 38 17 36 15 34 " 32 03 29 52 27 37 25 20 22 58 20 34 18 07 15 36 13 °4 10 30 7 54 5 17 2 39 00 180 00 164 13 150 18 138 59 130 07 123 11 117 41 »3 13 109 30 106 21 l°3 37 101 13 99 °5 97 °8 95 21 93 42 92 09 90 40 89 16 87 56 86 39 8524 84 10 82 58 81 49 80 39 79 27 78 21 77 14 76 05 74 58 73 49 72 4° 71 31 70 21 69 II 67 59 66 46 65 32 64 17 63 01 61 43 60 23 59 ox 57 38 56 12 54 44 53 15 51 42 5° °7 48 29 46 48 45 05 43 19 41 29 39 36 37 40 35 4° 33 37 31 32 29 22 27 09 24-52 22 34 20 12 17 47 15 19 12 49 10 18 7 45 5 " 2 36 o 00 180 00 162 15 147 06 135 19 126 27 "9 43 114 28 no 14 106 47 i°3 49 101 18 99 °3 97 03 95 14 93 33 91 59 90 32 89 °9 87 48 86 32 85 18 84 06 8255 81 47 80 38 79 31 78 24 77 17 76 n 75 04 73 58 72 51 71 44 7° 35 69 26 68 17 67 06 65 54 6441 63 27 62 n 60 54 59 35 58 13 56 51 55 27 53 59 52 3° 5° 59 49 24 47 47 46 07 44 25 42 39 4° 51 38 59 37 °5 35 °7 33 05 31 0° 28 52 26 42 24 27 22 10 19 50 17 27 15 °3 12 36 10 07 7 37 5 °5 2 32 o 00 180 00 159 4i 143 °9 131 02 122 19 "5 54 III 00 107 06 i°3 54 101 13 98 53 96 49 94 58 93 17 91 44 90 16 8853 87 35 86 20 85°7 83 57 82 47 81 39 80 33 79 27 78 22 77 17 76 12 75 °8 74-°3 7258 71 52 7046 6939 68 31 67 23 66 13 65 02 63 SO 62 37 61 21 60 05 58 47 57 27 56 05 54 40 53 15 51 46 5° 15 48 41 47 05 45 26 43 45 42 00 40 13 38 23 36 29 34 32 32 32 30 29 28 23 26 14 24 03 21 48 19 30 17 09 14 47 12 22 9 56 7 29 4 59 2 3° 00 180 00 156 15 138 13 126 00 117 42 "I 45 107 18 103 47 i°o 55 98 29 96 23 94 3i 92 49 91 17 89 51 88 30 87 13 86 00 84 49 83 40 82 34 31 27 80 23 79 19 78 16 77 12 76 09 75 07 74 °4 73 01 71 57 70 53 69 47 68 42 67 36 66 28 65 19 64 09 62 58 61 45 60 31 59 16 57 58 56 39 55 18 53 54 52 29 51 02 49 31 47 58 46 23 44 46 43 05 41 22 39 36 37 46 35 54 33 59 32 00 29 59 27 55 25 47 23 37 21 25 19 09 16 51 14 31 12 09 9 45 7 20 4 54 2 27 o 00 180 00 151 24 131 58 120 08 112 32 107 17 103 22 IOO 18 97 48 95 4° 93 49 92 09 90 39 89 15 87 57 8643 8532 8423 83 17 82 13 81 10 80 07 79 05 78 04 77 04 76 03 75 02 74 00 73 00 7i 58 70 55 69 53 6849 S 45 66 39 65 33 64 25 63 16 62 07 60 54 59 42 58 27 57 10 55 51 54 31 53 09 51 44 50 17 47 17 45 42 44 05 42 26 40 43 38 59 37 10 35 20 33 26 31 29 29 29 27 27 25 21 23 12 21 02 18 49 16 33 14 16 II 56 9 34 7 12 448 2 24 O 00 180 OO I44 13 124 04 113 19 I06 50 102 27 99 13 96 40 94 34 92 46 91 10 89 45 88 24 87 11 86 00 84 53 8348 82 46 81 44 80 44 79 44 78 45 77 47 7648 75 5i 74 52 73 53 72 55 7i 55 70 55 69 54 6853 67 51 66 48 65 43 64 3» 63 32 62 23 61 15 60 04 5852 57 38 56 22 55 03 53 45 52 22 50 59 49 33 48 05 46 35 45 01 43 26 41 47 40 06 38 21 36 34 34 46 32 53 3058 28 59 26 59 24 55 22 49 20 40 18 29 16 15 14 00 » 43 9 24 7 04 4 44 2 22 180 00 180 00 132 49 114 56 114 07 102 06 105 34 .97 00 100 39 94 03 97 21 9 1 59 94 53 90 24 92 54 89 02 9t 15 8750 89 47 86 45 88 29 85 43 87 17 84 46 86 08 83 49 85 04 82 55 84 02 82 02 83 01 81 09 82 03 80 17 81 06 79 25 80 10 79 13 78 18 77 23 76 27 75 32 74 37 73 40 72 44 71 47 70 49 69 52 68 52 67 52 66 51 65 50 64 46 63 43 62 37 61 29 60 22 59 12 58 00 56 47 55 33 54 15 52 57 51 37 5° 14 47 21 45 51 44 19 42 44 41 07 39 27 37 45 35 59 34 n 32 20 30 27 28 30 26 31 24 29 22 25 20 18 18 09 15 58 13 44 n 30 9 13 6 57 4 38 2 20 o 00 78 34 77 43 7651 75 59 75 07 74 15 73 22 72 28 71 34 70 39 69 43 6847 67 50 66 51 65 52 64 51 63 49 62 47 61 42 60 36 59 29 58 21 57 10 55 58 54 44 53 28 52 10 50 51 49 29 48 05 46 38 45 10 43 39 42 05 40 29 3850 37o8 35 24 33 37 31 48 29 55 28 00 26 04 24 03 22 01 19 56 17 49 15 41 13 3° n 17 9 03 6 48 4 33 2 17 00 89 18 88 36 87 54 87 12 86 30 85 47 85 05 84 22 8256 82 13 81 29 8045 80 00 79 15 78 30 77 44 7658 76 10 75 23 74 35 73 46 72 57 72 07 7i 15 7o 23 69 31 6837 67 42 66 46 65 50 64 52 63 52 62 52 61 50 60 47 5 2 4 ? 5836 57 29 56 19 55 08 53 55 52 40 51 23 50 04 48 43 47 20 45 55 44 27 42 57 41 24 39 49 38 12 36 31 34 49 33 04 31 16 29 25 27 32 25 36 23 38 21 38 19 35 17 30 15 23 13 15 II 05 8 54 6 41 4 2S 2 14 o 00 o 00 63 25 74 57 78 41 80 16 80 56 81 08 81 05 80 52 80 31 80 07 79 38 79 0° 78 33 77 58 77 20 76 41 76 01 75 20 74 37 73 54 73 10 72 24 71 38 70 51 70 02 69 12 68 22 67 30 6637 65 44 64 48 63 52 62 53 61 54 60 54 59 52 5848 57 44 56 37 55 28 54 17 53 06 51 52 5° 37 49 19 48 00 46 37 45 12 43 45 42 16 40 45 39 n 37 35 35 56 34 14 32 31 3044 2855 27 04 25 09 23 13 21 15 19 14 17 12 15 06 13 00 10 53 8 44 6 34 4 22 ll. o 10 11 111. 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 00 IO 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West- of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 142 AZIMUTH OR TRUE BEARING. LATITUDE 34°. DECI^INATION- -SAME NAME AS— I,ATIT,UDE. 1 LATITUDE 34°. , Hour Ail gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. 1 1 b. m. o / / / / / / / / / / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 44 58 33 26 26 06 21.09 17 39 15 04 13 °5 11 3° 10 14 . 9 10 8l l 7 31 10 20 62 33 52 11 43 53 37 20 32 10 28 02 , 24 42 21 58 19 41 17 46 16 08 14 43 20 30 69 50 61 41 54 27 , 48 09 42 44 38 08 34 12 3° 49 27 56 25 25 23 14 29 26 21 18 30 40 73 27 66 54 60 49 55 13 50 09 45 37 41 35 37 59 34 48 31 58 27 10 40 SO 75 23 70 00 64 49 59 55 55 19 51 06 47 11 43 37 40 21 37 24 34 42 32 14 50 1 00 76 29 7i 55 67 26 63 °7 59 00 55 07 51 26 48 01 44 49 41 51 39 07 3°34 1 00 10 77 04 73 05 69 11 65 21 61 38 58 04 54 40 51 26 48 22 45 29 42 46 40 12 lO 20 77 20 73 49 70 20 66 54 63 33 60 17 57 07 54 °6 51 11 48 24 45 46 43 15 20 30 77 22 74 13 71 06 68 00 64 56 61 56 59 00 56 10 53 25 50 46 48 13 45 47 30 . 40 77 16 74 25 71 33 68 44 65 55 63 10 60 26 57 47 55- 12 52 4° 5° 15 47 52 ♦ 40 50 77 02 74 26 7i 49 69 13 66 37 64 04 61 32 59 °3 5636 54 12 51 52 49 36 50 2 00 76 43 74 19 71 54 69 29 67 05 64 42 62 20 59 59 57 4° 55 25 53 11 51 00 2 00 10 76 19 74 05 71 51 69 36 67 22 65 08 62 54 60 42 58 31 56 22 54 15 52 09 10 20 75 53 73 48 71 43 69 36 67 29 °5 24 63 18 61 14 59 °9 57 07 55 °5 53 04 20 30 75 24 73 26 71 29 69 29 67 30 65 32 °3 33 61 35 59 37 57 44 •47 31 45 58 44 26 42 54 4i 23 39 52 38 22 36 54 20 53 49 52 17 50 46 49 16 47 45 46 14 44 44 43 15 41 45 40 17 38 49 37 22 30 40 50 53 47 52 19 5° 50 49 21 47 54 46 26 44 57 43 29 42 02 40 36 39 °9 37 43 40 53 40 52 15 50 49 49 23 47 57 46 32 45 °° 43 40 42 15 40 50 39 24 38 00 50 4 00 53 29 52 06 5° 44 49 20 47 56 46 32 45 10 43 46 42 22 4° 59 39 3 6 38 13 4 00 10 53 -5 51 54 5° 33 49 12 47 51 46 30 45 °9 43 46 42 25 41 °3 39 42 38 21 10 20 52 57 51 38 50 20 49 °i 47 4i 46 23 45 03 43 43 42 24 41 °3 39 44 38 24 20 30 52 35 5i 19 50 03 48 46 47 29 46 12 44 54 43 36 42 19 41 00 39 42 38 24 30 40 52 11 50 56 49 42 48 27 47 13 45 57 44 42 43 26 42 09 4° 53 39 3° 38 20 40 oO 51 44 50 32 49 19 48 06 46 53 45 4° 44 26 43 II 41 56 40 43 39 28 38 12 50 5 00 51 14 5° 03 48 53 47 41 46 30 45 19 44 07 42 54 41 42 40 28 39 l6 38 02 5 00 10 50 40 49 32 48 24 47 14 46 05 44 55 43 45 42 33 41 23 40 12 39 °° 37 47 10 20 50 05 48 59 47 52 46 45 45 37 44 29 43 20 42 11 41 01 39 51 38 41 37 32 20 30 49 28 48 23 47 18 46 11 45 05 43 59 42 53 41 44 40 37 39 29 38 20 37 12 30 40 48 48 47 45 46 41 45 37 44 32 43 27 42 22 41 16 40 10 39 °3 37 56 36 49 40 50 48 06 47 05 46 03 44 59 43 56 42 53 41 49 4° 45 39 40 38 35 37 29 36 2,4 50 6 00 47 22 46 22 45 21 44 20 43 18 42 16 41 14 40 II 39 °8 38 04 37 °° 35 56 6 00 10 46 36 45 37 44 37 43 37 42 38 41 37 40 36 39 34 38 33 37 31 36 29 35 26 IO 20 45 47 44 5° 43 52 42 53 41 55 40 56 39 57 38 57 37 57 3656 35 55 34 54 20 30 44 56 44 00 43 °3 42 07 41 10 40 12 39 14 38 16 37 17 36 19 35 19 34 19 30 40 44 04 43 09 42 14 41 18 40 23 3 § 2 l 38 3° 37 33 36 36 35 39 34 4° 33 41 40 50 43 °9 42 15 41 22 40 28 39 33 3838 37 43 3648 35 52 34 56 34 °° 33 °3 50 7 00 42 12 41 20 40 27 39 34 3842 37 49 36 55 36 01 35 °7 34 12 33 17 32 21 7 00 10 41 13 40 22 39 31 38 39 37 48 36 57 36 04 35 II 34 19 33 26 32 31 31 38 10 20 40 12 39 23 38 33 37 43 36 53 36 °3 35 11 34 20 33 29 32 38 31 45 30 53 20 30 39 I" 38 22 37 33 36 44 35 55 35 06 34 17 33 28 32 38 31 47 3° 56 30 06 30 40 38 05 37 18 36 31 35 43 34 56 34 °8 33 20 32 32 31 44 3° 56 30 06 29 17 40 50 36>58 36 13 35 27 34 41 33 55 33 °9 32 23 31 36 3° 49 3° °i 29 14 28 26 50 8 00 35 48 35' 04 34 21 33 36 32 52 32 07 31 22 30 37 29 51 29 05 28 20 27 34 8 00 io 34 38 33 55 33 13 32 29 31 46 31 °3 30 20 29 36 28 53 28 09 27 23 26 39 10 20 33 26 32 44 32 03 31 21 30 40 29 58 29 16 28 33 27 51 27 10 26 26 25 43 20 30 32 II 31 31 3° 51 3° II 29 31 28 51 28 11 27 3° 26 49 26 08 25 27 24 45 30 40 30 55 30 15 29 38 28 59 28 20 27 42 27 °3 26 24 25 45 25 06 24 26 23 47 40 50 29 3° 28 59 28 22 27 44 27 07 26 31 25 54 25 ;6 24 39 24 01 23 23 22 45 50 9 00 ' 2815 27 39 27 °5 26 29 25 53 25 18 24 42 24 06 23 31 22 56 22 19 21 43 9 00 IO 26 52 26 19 25 45 25 12 24 38 24 °5 23 3° 22 57 22 23 21 48 21 14 20 40 IO 20 25 29 24 58 24 25 23 53 23 21 22 49 22 17 21 44 21 11 20 39 ' 20 07 19 34 20 30 24 03 23 33 23 03 22 31 22 02 21 31 21 01 20 31 20 00 19 29 18 58 18 27 30 40 22 35 22 06 21 38 21 09 20 41 20 13 19 44 19 16 IS 46 18 18 17 49 17 20 40 50 2: 06 20 40 20 13 19 46 ■ 19 19 18 52 18 26 17 58 17 32 17 06 u6 38 16 11 50 10 00 19 35 19 11 18 46 18 20 17 56 17 31 17 06 16 41 16 16 15 51 15 26 15 °l 10 00 10 18 03 17 40 17 17 16 53 16 31 16 08 15 45 15 22 H 59 14 36 14 13 13 5° IO 20 16 30 16 08 15 47 15 26 15 °5 14 44 14 23 14 02 13 41 13 20 12 59 12 38 20 30 14 55 14 36 14 16 13 57 13 38 13 20 13 00 12 41 12 22 12 03 11 44 11 24 30 40 13 18 13 01 12 45 12 28 12 10 11 53 11 36 II 19 11 02 10 45 10 28 10 II 40 50 11 42 11 26 11 11 10 56 10 41 10 26 10 11 9 56 9 41 9 27 9 " 8 56 50 11 00 10 03 9 50 9 37 9 24 9 11 8 58 8 45 8 32 8 19 8 06 7 54 7 41 11 00 10 8 24 8 12 8 01 I S l 7 40 7 29 7 19 7 08 6 57 6 46 6 35 6 25 10 20 6 43 6 36 6 27 6 18 6 09 6 01 5 51 5 43 5 35 5 25 5 17 5 08 20 30 5 "4 4 57 4 5° 4 44 4 37 4 31 4 25 4 17 4 11 4 °5 3 59 3 51 30 40 3 23 ,3 18 3 14 3 09 3 05 , 3 01 2 57 2 52 2 47 2 43 2 39 2 35 40 50 1 41 1 39 1 37 1 35 1 33 1 30 1 28 1 26 1 24 1 22 1 20 .1 17 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 144 AZIMUTH OR TRUE BEARING. LATITUDE 34°. DECLINATION— SAME NAME AS- -LATITUDE- latitude: 34°. Hoar An gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. o / / / / r / / ]j ° ' / / / li. in. O OO ■ O 00 00 00 00 00 00 00 00 00 00 00 00 10 2 51 2 40 2 3° 2 20 2 11 2 03 1 55 1 48 1 40 1 33 1 27 10 20 5 39 5 18 4 58 4 4° 4 22 4 05 3 49 3 34 3 20 3 °7 2 54 20 30 825 7 53 7 24 6 56 6 30 6 05 5 42 5 20 4 59 4 39 4 20 30 40 11 06 10 25 9 46 9 10 835 8 03 7 33 7 04 636 6 10 5 43 40 50 13 4" 12 50 12 03 11 19 10 38 9 58 9 20 8 45 8 11 7 38 7 07 50 1 00 16 06 15 °9 14 15 13 24 12 35 II 48 11 05 10 23 9 43 9 °5 8 29 1 00 10 18 26 17 22 16 21 15 22 14 27 13 34 12 45 11 57 11 12 t 10 28 9 47 10 20 20 36 19 25 18 19 17 15 16 14 15 17 14 21 13 28 12 38 11 49 II 02 20 30 22 36 21 21 20 09 19 01 17 55 16 53 15 52 14 55 14 00 13 07 12 16 30 40 24 28 23 08 21 53 20 40 19 3° 18 24 17 20 16 18 15 18 14 20 13 25 14 31 40 50 26 10 24 47 23 28 22 13 20 59 19 48 18 41 17 35 16 32 15 3i 50 2 00 27 44 26 19 24 57 23 38 22 21 21 08 19 57 18 48 17 42 16 37 15 35 2 OO 10 29 08 27 41 26 17 24 56 23 37 22 22 21 08 19 56 18 46 17 39 16 33 lO 20 30 23 28 56 27 3° 26 08 24 48 23 29 22 14 21 00 19 48 1838 17 3° 20 30 31 31 30 04 2837 27 13 25 52 24 31 23 14 21 58 20 45 19 32 18 21 30 40 32 32 31 °3 29 36 28 12 26 49 25 28 24 09 22 51 21 36 20 22 19 10 40 50 33 26 3i 57 30 30 29 °4 27 41 26 20 24 59 23 4° 22 24 21 08 19 55 50 3 00 34 12 32 44 31 17 29 52 28 28 27 05 25 45 24 25 23 07 21 51 20 36 3 OO 10 34 52 33 25 31 58 3° 33 29 08 27 46 26 25 25 °5 23 4° 22 29 21 12 10 20 35 27 34 °° 32 34 31 09 29 45 28 22 27 01 • 25 41 24 22 23 04 21 46 20 30 35 55 34 29 33 °3 31 4° 30 16 2853 27 33 26 12 24 53 23 34 22 17 30 40 •tf 18 34 54 33 29 32 06 30 43 29 21 28 00 26 39 25 19 24 01 22 43 40 50 3636 35 13 33 49 32 27 31 °5 29 43 28 23 27 02' 25 43 24 24 23 0° 50 4 00 36 50 35 28 34 05 32 44 31 22 30 02 28 42 27 22 26 03 24 44 23 25 4 00 10 37 a> 35 38 34 17 32 57 31 36 30 17 28 57 27 37 26 19 25 01 23 42 lO 20 37 05 35 45 34 24 33 °° 31 46 30 27 29 °9 27 5° 26 32 25 14 23 5* 20 30 37 06 35 47 34 29 33 11 31 52 30 34 29 17 27 59 26 42 25.24 24 °7 30 40 37 04 35 47 ' 34 29 33 12 31 55 3° 38 29 21 28 05 26 48 25 31 24 15 40 50 3658 35 42 34 26 33 1° 31 54 3" 39- 29 23 28 07 26 52 25 35^ 24 19 50 5 00 3648 35 33 34 19 33 05 31 5° 30 36 29 21 28 07 26 52 25 37 24 21 5 OO lO 3636 35 23 34 1° 32 57 31 43 30 3° 29 16 28 03 26 49 25 35 24 22 10 20 36 20 35 °9 33 57 32 45 31 34 30 22 29 10 27 57 26 44 25 31 24 19 20 30 36 02 34 53 33 43 32 33 31 22 30 11 29 00 27 48 2636 25 25 24 13 30 40 35 4i 34 32 33 24 32 16 31 06 29 57 2847 27 37 26 26 25 15 24 04 40 50 35 17 34 11 33 °3 3i 57 3048 29 4° 28 31 27 23 26 14 25 °4 23 55 50 6 OO 34 52 33 4° 32 4° 31 34 30 28 29 21 28 14 27 06 25 59 24 51 23 42 6 OO 10 34 23 33 19 32 15 31 10 3° °5 29 00 27 54 26 49 26 28 25 42 24 35 23 27 lO 20 33 52 32 5° 31 47 3° 44 29 40 28 36 27 32 25 22 24 17 23 11 20 30 33 18 32 17 31 16 3° 15 29 13 28 10 27 08 26 04 25 01 23 56 22 52 52 40 32 43 31 44 3° 44 29 44 2843 27 43 26 41 25 4° 24 37 23 34 22 31 40 50 32 05 31 °8 30 09 29 11 28 12 27 12 26 12 25 12 24 12 23 11 22 09 50 7 00 31 26 3° 3° 29 33 2836 27 38 26 40 25 42 24 43 23 44 22 45 21 44 7 00 10 30 44 • 29 49 2854 27 58 27 02 26 06 25 10 24 12 23 15 22 17 21 18 lO 20 30 01 29 °7 28 14 27 20 26 25 25 31 24 35 23 39 22 43 21 47 20 50 20 30 29 15 28 23 27 31 26 39 25 46 24 52 23 59 23 °5 22 11 21 16 20 21 30 40 28 27 27 37 26 47 25 56 25 °4 24 13 23 21 22 29 21 37 20 44 19 5° 40 50 27 38 26 49 26 00 25 II 24 22 23 33 22 42 21 51 21 00 20 09 19 16' 50 8 00 2.6 47 26 00 25 13 24 26 23 37 22 49 22 01 21 12 20 22 19 33 18 42 8 00 10 25 55 25 °9 24 24 23 37 22 51 22 06 21 19 20 31 19 44 18 55 18 07 10 20 25 00 24 16 23 32 22 48 22 04 21 20 20 34 19 49 19 03 18 17 17 3° 20 30 24 04 23 22 22 40 21 58 21 15 20 32 19 49 19 °5 18 21 17 37 16 52 30 40 23 06 22 27 21 46 21 05 20 24 19 43 19 02 18 19 17 38 16 55 16 11 40 50 22 07 21 29 20 51 20 12 19 32 18 53 18 13 17 33 1° 53 16 12 15 31 50 9 00 21 06 20 30 19 53 19 16 18 39 18 02 17 24 16 45 16 07 15 28 14 49 9 00 10 20 05 19 3° 18 55 18 19 17 44 17 08 16 32 15 56 15 20 14 43 14 06 10 20 19 01 18 29 17 55 17 22 16 49 16 15 15 41 15 °6 . 14 32 13 57 13 22 20 30 17 57 17 26 16 54 16 22 15 51 15 20 14 47 14 15 13 42 13 09 12 37 30 40 16 51 16 22 15 52 15 22 14 53 14 23 13 53 13 23 12 52 12 21 11 5° 40 50 15 43 15 17 14 49 14 21 13 53 13 26 1258 12 29 12 01 II 32 11 04 50 10 00 14 36 14 11 13 45 13 19 12 54 12 28 12 02 II 36 II 09 10 42 10 15 10 00 10 13 26 13 °3 12 40 12 16 n 52 11 29 II 05 10 41 10 16 9 52 9 27 10 20 12 16 11 55 11 34 11 12 10 50 10 29 10 07 9 45 9 23 9 00 8 38 20 30 11 06 10 46 10 27 10 07 9 48 9 28 9 08 8 48 .8 28 8 09 7 48 30 40 9 53 9 36 9 19 9 01 844 827 8 09 7 51 7 34 7 16 6 58 40 50 8 41 8 26 8 11 7 55 7 4° 7 25 7 °9 6 54 6 39 ■6 22 6 06 50 11 00 7 28 7 15 7 01 6 48 636 6 22 6 09 5 55 5 42 5 29 5 15 11 00 10 6 14 6 03 5 52 5 41 5 31 5 19 5 08 4 57 4 45 4 34 4 23 10 20 5 00 4 51 4 42 4 33 4 24 4 16 4 °7 3 58 3 49 3 4° 3 31 20 30 3 45 3 38 3 32 3 25 3 19 3 12 3 °5 258 2 52 2 45 2 38 30 40 2 3" 2 26 2 22 2 17 2 12 2 08 2 04 1 59 1 54 I 51 1 46 40 50 I 15 1 13 1 11 1,09 1 06 1 04 1 02 1 00 57 55 ° 53 50 13 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or Eas 1 : of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 145 AZIMUTH OR TRUE BEARING. latitude: 35°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 35°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. o / r t / / / / / / / / / n. in. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 168 II 167 08 165 53 164 20 162 24 159 52 156 28 151 39 144 31 133 16 115 11 89 17 10 20 30 40 50 SO 157 08 155 18 153 °7 15° 3° 147 18 143 23 138 29 132 15 124 20 114 21 102 13 88 34 30 147 24 145 03 142 20 139 I 6 135 34 131 17 126 16 120 22 113 32 105 42 97 °3 87 51 40 139 °3 136 29 133 35 130 20 126 41 122 32 117 53 112 42 106 58 100 44 .94 04 87 08 50 132 03 129 26 126 33 123 23 119 53 116 04 in 55 107 23 102 32 97 23 91 58 86 24 1 00 126 11 123 37 120 50 "7 5° "4 35 in 07 107 24 103 26 99 16 94 52 90 20 85 41 1 OO 10 121 14 118 46 116 07 113 19 . no 21 107 n 103 50 100 20 96 41 92 52 88 57 84 57 IO 20 117 00 114 40 112 11 i°9 34 106 50 103 56 100 56 97 48 94 32 91 n 87 44 84 13 20 30 113 21 in 08 108 49 106 23 i°3 51 101 12 98 28 95 38 92 42 gg£ 86 37 83 29 30 40 no 09 108 04 I°5 54 103 37 101 17 98 50 96 20 93 45 91 °5 i 5 3 ? 82 45 40 50 107 20 105 22 103 19 101 12 99 °i 96 45 94 26 92 03 89 37 87 °7 84 3°. 82 01 50 2 00 104 47 i°2 55 101 00 ' 99 °r 96 59 94 52 92 44 90 31 88 16 85 58 83 38 . 81 16 2 OO 10 102 30 100 44 98 55 97 °3 95 °7 93 °9 91 °9 89 05 87 00 84 52 82 43 80 31 IO 20 IO0 23 98 42 97 00 95 13 93 26 91 35 89 42 87 46 85 49 83 49 81 48 79 45 .20 30 98 26 9° 51 95 13 93 32 91 5° 90 05 88 19 86 30 84 40 82 48 80 54 78 59 30 40 96 38 95 °6 93 33 91 57 90 21 88 41 87 00 85 18 83 34 81 48 80 01 78 12 40 50 94 56 93 28 91 59 90 28 88 56 87 21 8546 84 08 82 30 80 50 79 °9 77 26 50 3 00 93 18 91 54 90 30 89 03 87 34 86 04 84 34 83 °i 81 27 79 52 78 16 7638 3 OO 10 91 46 90 26 89 04 87 41 86 16 84 50 83 23 81 55 80 26 78 54 77 23 75 5° 10 20 90 18 8852 89 01 87 42 86 22 85 °i 8338 82 15 80 51 79 25 77 58 76 30 75 01 20 30 8738 86 22 85 °5 83 47 82 28 81 08 79 46 78 25 77 °2 75 38 74 12 30 40 87 3° 86 18 85 °4 83 5° 82 35 81 19 80 01 78 44 77 25 76 05 74 44 73 22 40 50 86 10 85 00 83 49 82 37 81 25 80 n 78 57 77 41 76 25 75 °8 73 5° .72 32 50 4 OO 84 52 83 43 82 35 81 25 80 15 79 04 77 52 76 39 75 26 74 11 72 57 71 41 4 OO 10 83 34 82 28 81 22 80 14 79 °7 77 57 7°47 75 37 74 27 73 15 72 02 7048 10 20 82 18 81 15 80 10 79 °5 77 58 7°5i '75 43 74 35 73 26 72 17 71 06 69 56 20 30 81 05 80 01 78 59 77 55 7° 5° 75 46 74 4° 73 33 72 26 71 18 70 10 69 02 30 40 79 5° 7849 77 48 76 46 75 42 74 39 73 35 72 31 71 26 70 20 69 14 68 07 40 50 78 37 77 37 76 37 75 36 74 35 73 33 72 31 71 23 70 25 69 21 68 17 67 11 50 5 00 77 23 76 24 75 26 74 26 . 73 27 ; 72 27 71 26 70 24 % 23 68 20 67 18 66 15 5 OO 10 76 10 75 12 74 14 73 1° 72 19 71 20 70 20 69 20 68 20 67 19 66 18 65 17 IO 20 74 57 74 °° 73 °4 72 07 71 10 70 12 69 15 68 16 67 17 66 17 65 18 64 18 20 30 73 43 72 47 7i 52 70 56 70 00 69 05 68 08 67 10 66 13 65 15 64 17 63 18 30 40 72 28 7i 34 7° 39 69 45 68 50 67 55 67 00 66 04 65 08 64 11 63 H 62 16 40 50 71 14 70 20 69 27 68 34 67 40 66 46 65 52 64 57 64 02 63 06 62 10 61 14 50 6 OO 69 58 69 06 68 13 67 21 66 28 65 35 64 42 6348 62 54 61 59 61 04 60 10 6 00 io 68 41 67 5° 66 59 66 07 65 15 64 23 63 3° 62 38 61 45 60 51 59 58 59 °4 10 20 67 24 6633 65 43 64 52 64 01 63 10 62 19 61 27 6° 35 59 42 5831 585° 57 57 20 30 66 06 65 16 64 26 63 36 62 46 61 55 61 05 60 14 59 23 57 41 56 49 30 40 64 46 63 57 63 07 62 18 61 28 60 39 59 5° 59 °° 58 10 57 20 56 3° 55 39 40 50 63 24 6236 61 48 60 59 60 10 59 22 58 34 57 44 56 5° 56 06 55 16 54 27 50 7 OO 62 02 61 14 60 26 59 38 58 51 5803 57 15 56 27 55 39 54 5i 54 °2 53 13 7 00 10 60 37 59 49 59 °2 58 16 57 28 56 41 55 54 55 °7 54 20 53 33 52 46 51 58 10 20 59 " 58 24 57 38 56 52 56 05 55 19 54 32 53 4° 53 °i 52 12 51 27 50 40 20 30 57 42 56 5° 56 11 55 25 54 39 53 55 53 °9 52 24 51 38 5° 52 50 07 49 21 30 40 56 n 55 26 54 41 53 57 53 12 52 28 51 43 5°58 59 14 49 29 48 45 48 00 40 50 54 38 53 54 53 1° 52 27 51 42 5° 59 5° 15 49 31 48 47 48 04 47 21 4° 37 50 8 00 53 °3 52 20 51 37 5° 53 50 10 49 28 48 45 48 02 47 19 46 36 45 54 45 11 8 00 10 51 25 50 42 50 01 49 IS 48 36 47 53 47 11 46 29 45 48 ■45 °7 44 25 43 44 IO 20 49 45 49 °3 48 21 47 4° 46 59 46 17 45 37 44 55 44 15 43 35 42 54 42 14 20 30 48 02 47 19 46 39 45 59 45 19 44 39 43 59 43 20 42 39 42 00 41 21 40 41 30 40 46 16 45 34 44 55 44 15 43 37 42 58 42 19 41 40 41 01 40 23 39 45 39 °7 40 50 44 25 43 46 43 °8 42 29 41 51 41 13 40 36 39 58 39 21 38 43 38 07 37 3° 50 9 OO 42 33 41 55 41 18 40 40 40 03 39 26 38 5° 38 13 37 38 37 °I 36 26 35 5° 9 00 10 4° 37 40 01 39 24 38 48 38 12 37 37 37 01 36 27 35 52 35 16 34 42 34 °8 IO 20 3838 38 03 37 28 36 52 36 19 35 44 35 11 34 36 34 °3 33 3° 32 57 32 24 20 30 36 36 36 01 35 28 34 55 34 21 33 48 33 16- 32 44 32 12 . 31 4° 31 °9 29 18 3° 37 30 40 34 3° 33 57 33 25 32 53 32 22 31 5° 31 19 30 48 30 18 29 47 28 48 40 50 32 21 31 5° 31 20 30 49 30 19 29 49 29 19 28 50 • 28 21 27 52 27 25 26 56 50 10 00 30 08 29 39 29 10 28 41 28 12 27 45 27 18 26 49 26 22 25 55 25 29 25 02 IO OO 10 27 52 27 24 26 55 26 29 26 03 25 37 25 12 24 4° 24 20 23 56 23 3i 23 °6 10 20 25 33 25 06 24 41 24 16 23 52 23 28 23 °3 22 40 22 17 21 53 21 31 21 08 20 30 23 10 22 46 22 23 22 00 21 37 21 15 20 53 20 31 20 10 19 49 19 28 19 08 30 40 20 44 20 22 20 or 19 4° 19 20 19 00 18 40 18 21 18 02 17 43 17 24 17 °5 40 50 18 15 17 56 17 37 17 19 17 01 16 43 16 25 16 08 15 52 15 34 15 18 15 01 50 11 00 15 44 15 28 15 11 14 55 14 39 14 24 14 08 13 54 13 39 13 25 13 IO 12 56 11 OO 10 13 i° 12 56 12 42 12 30 12 16 12 03 n 5° 11 38 II 25 11 13 II 01 10 49 IO 20 1° 35 10 23 10 12 10 02 9 51 9 41 9 3° 9 20 9 10 9 00 8 5° 8 40 20 30 7 58 7 49 7 4i 7 32 7 24 7 16 7 °9 7 00 65 l 6 46 6 38 631 30 40 5 20 5 13 5 °8 5 °2 4 57 4 5i 4 4° 4 41 4 36 4 31 4 26 4 21 40 50 2 40 2 37 2 34 2 31 2 28 2 26 2 23 2 21 2 18 2 16 2 13 2 II 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the.meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name,, the tables are to .be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02 IO 146 AZIMUTH OR TRUE BEARING. LATITUDE 35°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 35°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. ni. o t / , / / / / 6 / / / / / Ii. 111. 00 oo 00 00 ' 00 00 00 00 00 00 00 00 00 00 io £3 °7 44 36 33 05 25 47 2053 17 25 14 51 12 53 11 19 10.04 * 9 00 8 07 IO 20 74 45 62 14 51 48 43 28 3656 31 46 27 4° 24 21 21 38 19 23 17 24 15 51 20 30 78 32 69 35 61 21 54 02 47 43 42 18 37 52 33 46 30 24 27 32 25 01 22 51 30 40 80 07 73 12 66 36 60 27 54 48 49 43 45 1° 41 06 37 31 34 20 31 3° 28 59 40 50 80 47 75 10 69 42 64 29 59 32 54 54 5°38 46 43 43 08 39 52 36 54 34 12 50 1 00 8059 76 16 'I 37 67 06 62 45 5836 54 39 50 58 47 31 44 19 4J 19 3835' 1 00 10 8055 76 51 72 49 68 51 65 00 61 15 57 38 54 12 • 50 56 47 52 44 57 42 13 IO 20 80 40 77 06 73 33 70 01 66 33 63 10 59 52 56 40 53 37 50 40 47 52 45 13 20 30 80 20 77 09 73 57 70 47 67 39 64 33 61 31 58 34 55 42 52 55 50 14 47 40 30 40 79 54 •77 01 74 08 71 15 68 22 65 32 62 45 60 00 57 19 54 4i 52 09 49«42 40 50 79 25 76 47 74 08 71 29 68 51 66 14 63 38 61 04 58 34 56 06 53 40 5i 19 50 2 00 78 52 76 27 74 00 71 34 69 08 66 42 64 17 61 53 59 3i 57 11 54 53 52 39 2 00 10 78 18 76 03 73 48 71 31 69 15 66 59 64 43 62 28 60 14 5802 55 51 53 42 10 20 77 40 75 35 73 29 71 21 69 14 67 06 64 59 62 51 60 46 58 40 5636 54 32 20 30 77 "3 75 05 73 06 7i °7 69 07 67 07 65' 06 63 06 61 07 59 07 57 09 55 11 30 40 76 23 74 31 72 40 7° 47 68 55 67 01 65 07 63 13 61 20 59 26 57 32 55 40 40 50 75 4i 73 56 72 11 70 24 6837 66 49 65 01 63 13 61 25 59 37 57 48 56 01 SO 3 OO 74 59 73 20 7i 39 69 59 68 16 66 34 64 51 63 07 61 24 59 4° 57 57 56 14 3 00 10 74 16 72 42 71 06 69 29 67 52 66 14 64 36 62 57 61 18 59 39 58 00 56 21 IO 20 73 32 72 01 70 30 6858 67 25 65 52 64 17 62 42 61 08 59 32 57 57 56 22 20 30 72 46 71 20 69 52 68 23 6655 65 25 63 55 62 24 60 53 59 22 57 5° 56 18 30 40 72 00 70 37 69 12 °7 47 66 22 64 56 63 30 62 02 60 35 59 °6 57 37 56 09 40 50 71 13 69 52 68 31 67 10 65 48 64 25 63 01 61 36 60 r2 58 47 57 22 55 56 50 4 00 70 24 69 °7 67 49 66 30 65 11 63 51 62 30 61 09 59 48 58 25 57 03 55 4° 4 00 10 & 34 68 44 68 20 67 05 65 48 6431 63 14 61 56 60 38 59 19 58 00 56 40 55 20 10 20 67 32 66 18 65 °5 63 51 62 36 61 21 60 05 58 49 57 31 56 14 54 56 20 30 67 52 66 42 65 32 64 21 63 °9 61 56 60 43 59 29 5852 58 16 57 00 55 46 54 30 30 40 66 59 65 54 64 43 S 3 34 62 25 61 14 60 04 57 40 56 27 55 15 54 01 40 50 66 06 65 00 63 53 '62 46 61 39 60 30 59 22 58 12 57 02 55 52 54 41 53 29 50 5 00 65 II 64 06 63 02 61 56 60 51 59 44 5838 57 3° 56 22 55 13 54 °4 52 55 5 00 10 64 15 63 12 62 09 61 05 60 01 58 57 57 52 56 46 55 40 54 33 53 26 52 19 10 20 63 17 62 17 61 15 60 12 59 10 5807 57 04 56 00 54 55 53 51 52 45 51 4° 20 30 62 19 61 19 60 19 59 18 58 18 57 16 56 15 55 12 54 09 53 07 52 03 50 59 30 40 61 18 60 20 59 22 58 22 s l 2 i- 56 23 55 23 54 22 53 21 52 19 51 18 50 15 40 SO 66 17 59 21 58 23 57 25 56,28 55 29 54 3° 53 31 52 31 51 31 5° 31 49 3° 50 6 00 59 15 58 19 57 23 56 26 55 3° 54 33 53 35 52 37 51 40 50 41 49 42 48 42 6 00 10 58 10 57 iC 56 21 55 25 54 3° 53 35 52 39 31 42 5° 45 49 48 48 51 47 53 10 20 57 04 56 11 55 17 54 23 53 30 52 35 51 41 50 45 49 5° 48 54 47 58 47 01 20 30 55 57 55 05 54 13 53 19 52 27 5i 34 50 40 49 46 48 46 48 52 47 57 47 02 46 08 30 40 54 48 53 57 53 06 52 14 51 23 5° 31 49 38 47 52 '46 59 46 06 45 12 40 SO 53 37 5248 51 57 51 °6 50 16 49 25 48 34 47 43 46 51 45 59 45 07 44 15 50 7 00 52 25 51 36 5° 47 49 57 49 08 48 18 47 28 46 38 45 48 44 57 44 06 43 15 7 00 ; 10 51 10 50 22 49 34 48 46 47 58 47 09 45 58 46 21 45 3i» 44 42 43 53 43 °3 42 13 10 20 49 54 49 07 48 21 47 33 46 18 46 46 45 11 44 23 43 36 42 47 4i 58 41 10 20 i 30 48 35 47 49 47 04 45 32 44 4*> 44 00 43 13 42 27 4i 39 40 52 40 05 30 ! 40 47 16 46 31 45 46 45 °i 44 16 43 32 42 46. 42 01 41 16 40 29 39 43 38 57 40 50 45 54 45 10 44 26 43 42 42 58 42 14 41 3° 40 46 40 02 39 17 38 34 37 49 50 8 00 44 29 43 46 43 03 42 20 41 38 4° 55 40 12 39 29 3846 38 04 37 21 36 38 8 00 IO 43 02 42 21 4i 40 40 58 40 16 39 35 38 54 38 12 37 30 3648 36 07 35 24 IO 20 41 33 4° 53 40 13 39 33 38 53 38 12 37 31 36 51 36 II 35 3i 34 51 34 10 20 30 40 02 39 23 38 44 3805 37 26 36 47 36 08 35 29 34 50 34 10 33 32 32 53 30 40 38 29 37 50 37 13 36 35 35 58 35 19 34 42 34 04 33 27 32 49 32 II 31 34 40 50 36 53 36 16 35 40 35 t>3 34 27 33 51 33 15 32 38 32 02 31 25 30 49 30 13 50 9 00 35 15 34 39 34 05 33 29- 32 55 32 19 31 44 31 09 30 35 30 00 29 26 28 51 9 00 10 33 34 33 00 32 26 31 52 31 20 30 46 3° 13 29 39 29 06 28 32 28 00 27 26 10 20 31 52 31 19 30 46 3° 14 29 42 29 11 28 39 28 07 27 35 27 03 26 32 26 00 20 30 30 05 29 35 29 °4>> 28 33 28 03 27 32 27 03 26 32 26 02 25 32 25 02 24 32 30 40 28 18 27 49 27 20 26 51 26 23 25 53 25 24 24 56 24 28 23 59 23 31 23 03 40 50 26 28 26 00 25 33 25 06 24 39 24 12 23 45 23 18 22 51 22 24 21 58 21 31 50 10 00 24 36 24 10 23 45 23 19 22 54 22 29 22 03 21 38 21 13 20 48 20 24 19 59 10 00 10 22 42 22 18 21 54 21 30 21 07 20 43 20 19 19 56 19 33 .19 10 18 48 18 25 10 20 20 46 20 24 20 01 19 4° 19 18 18 56 18 35 18 14 17 52 17 31 17 10 16 49 20 30 18 47 18 27 18 07 17 47 17 27 17 08 16 48 16 28 16 09 15 50 15 32 15 12 30 40 16 46 16 29 16 10 15 53 15 35 15 18 15 °o 14 43 14 25 14 08 13 51 13 34 40 50 14 45 14 29 14 13 13 57 13 41 13 26 13 II 12 55 12 4d 12 25 12 10 11 55 50 11 00 12 41 12 27 12 14 T2 00 11 47 II 33 II 19 11 06 10 54 10 41 10 28 10 14 11 OO 10 10 37 10 25 10 14 10 02 9 5° 9 39 9 29 9 17 9 06 8 55 8 44 8 34 10 20 831 8 21 8 12 8 03 7 54 7 45 7 36 7 27 7 18 7 09 7 00 651 20 30 6 24 6 17 6 10 6 03 55 f 5 49 5 42 5 36 5 29 5 22 5 16 5 °9 30 40 4 16 4 12 4 07 4 02 3 58 3 53 3 48 3 44 3 40 3 35 3 31 3 26 40 50 2 08 2 06 2 03 2 01 1 59 1 57 1 54 1 52 1 50 I 48 I 46 1 44 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 147 AZIMUTH OR TRUE BEARING. LATITUDE 35°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 35°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° / 58° 59° Hour Angle. b. • m. o / / / / / t / / / / / li. m. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 7 23 6 44 6 11 , 5 40 5 15 5 5i 4 3° 8 54 ■ 4 11 3 54 3 38 3 22 3 10 10 20 14 27 13 14 12 09 11 12 10 22 9 35 8 17 7 43 1 7 12 6 43 6 17 20 30 20 57 19 15 17 46 16 25 15 13 14 °9 13 °9 12 15 11 26 10 40 9 58 9 20 30 40 2644 24 42 22 53 21 14 19 45 18 24 17 09 16 01 14 58 14 00 13 06 12 16 40 50 31 45 29 31 27 28 25 36 , 23 54 22 20 2° 53 19 32 18 18 17 09 16 05 15 °5 50 1 00 36 02 33 41 31 30 29 29 27 3S 25 55 24,17 22 48 21 24 20 05 18 52 17 44 1 00 10 39 39 37 16 35 01 32 55 3° 57 29 07 31 58 27 23 25 47 24 16 22 50 21 29 20 13 10 20 42 42 40 18 38 02 35 54 38 28 33 52 30 09 28 28 26 52 25 21 23 54 22 32 20 30 45 13 47 18 42 52 40 37 36 26 34 29 32 38 30 52 29 12 27 37 26 06 24 40 30 40 45 "I 42 48 4c 40 38 39 36 42 34 45 33 °2 31 20 29 41 28 07 26 37 40 50 49 02 46 48 44 39 42 33 4° -33 38 37 36 44 34 56 33 12 31 32 29 55 28 23 SO 2 00 50 27 48 18 46 12 44 10 42 11 40 17 38 24 36 37 34 52 33 11 31 33 29 59 2 00 10 51 35 49 31 47 29 45 30 43 35 41 42 39 51 38 04 36 20 34 38 33 °° 31 25 10 20 52 3° 5° 3i 48 33 46 38 44 45 42 55 41 °5 39 20 37 37 35 5° 34 18 32 42 20 30 53 15 51 20 49 26 47 34 45 44 43 56 42 09 4° 25 38 43 37 °3 35 26 33 5° 30 40 53 48 5' 58 50 08 48 .20 46 33 44 47 43 °3 41 21 39 41 38 02 36 24 34 5° 40 50 54 14 52 27 5° 4i 48 55 47 12 ' 45 29 43 48 42 08 40 29 3851 37 15 35 41 50 3 00 54 30 52 48 51 05 49 24 47 43 46 03 44 24 42 46 41 10 39 34 37 59 36 27 3 OO 10 54 42 53 03 51 24 49 45 48 09 46 30 44 54 43 18 41 44 40 09 38 3° 37 °4 10 20 54 46 53 " 51 35 50 00 48 25 46 50 45 16 43 43 42 II 40 38 39 °6 37 37 20 30 54 46 53 13 51 4i 50 08 48 36 47 °5 45 33 44 °2 42 31 41 01 39 3i 38 03 30 40 54 40 53 " 51 4i 50 12 48 43 47 13 45 44 44 15 42 47 41 18 39 49 38 23 40 50 54 3° 53 04 51 37 50 10 48 44 47 17 45 5° 44 23 42 57 41 3° 40 04 3838 50 4 00 54 16 52 53 51 29 5004 48 41 47 16 45 51 44 26 43 °2 41 37 4° 13 38 49 4 OO 10 53 59 52 38 51 16 49 54 48 32 47 1° 45 48 44 25 43 °4 41 40 40 17 3856 10 20 53 38 52 20 51 00 49 4i 48 21 47 01 45 4° 44 20 43 °° 4i 39 40 18 3858 20 ' 30 40 53 14 5158 5° 4i 49 23 48 07 46 49 45 3° 44 'I 42 53 41 33 4° 15 3856 30 52 47 51 33 50 19 49 03 47 47 4° 32 45 16 43 59 42 43 41 25 40 07 38 5° 40 50 52 17 51 06 49 52 48 40 47 26 46 12 44 58 43 43 42 29 41 13 39 57 3841 50 5 00 3.1 45 50 35 49 25 48 13 47 °2 45 5° 44 37 43 24 42 11 4° 57 39 43 38 29 5 00 10 51 10 50 02 48 54 47 '44 46 34 45 24 44 13 43 °2 41 51 40 38 39 26 38 14 10 20 SO 33 49 26 48 19 47 12 46 04 44 55 43 46 42 37 41 28 40 17 39 °6 37 56 20 30 49 34 48 50 47 43 46 37 45 3i 44 25 43 17 42 09 41 01 39 53 38 44 37 35 30 40 49 12 48 09 47 05 46 01 44 5° 43 51 42 45 41 39 4° 33 39 26 38 19 37 11 40 50 48 29 47 27 46 24 45 21 44 19 43 15 42 11 41 °7 40 02 3856 37 51 36 45 50 6 00 47 4- 46 44 45 42 44 40 43 39 42 37 4i 34 4° 31 39 29 38 25 37 20 36 16 6 OO 10 4& 54 45 56 44 56 43 57 42 57 41 56 4° 55 39 54 38 53 37 49 36 47 35 44 10 20 46 04 45 07 44 09 43 11 42 12 41 14 40 14 39 14 38 14 37 13 36 12 35 1° 20 30 45 12 44 16 43 19 42 23 41 26 40 28 39 31 38 33 37 34 36 34 35 55 34 35 30 40 44 17 43 23 42 28 41 33 40 29 39 42 38 45 37 48 36 52 35 53 34 55 33 57 40 50 43 =1 42 28 41 35 40 41 39 47 3852 37 57 37-02 36 07 35 1° 34 14 33 17 50 7 OO 42 23 41 32 40 40 39 47 38 55 38 01 37 °8 36 14 35 20 34 25 33 3° 32 35 7 00 lO 41 23 4° 33 39 42 38 51 37 59 37 °8 36 15 35 24 34 32 33 37 32 44 31 5° 10 20 40 21 39 32 38 43 37 53 37 03 36 13 35 22 34 32 33 4° 3248 31 56 31 °4 20 30 39 '7 38 3° 37 41 36 53 36 °5 35 1° 34 27 33 38 32 48 31 57 31 °7 30 16 30 40 38 II .37 25 36 39 35 5i 35 °4 34 17 33 29 32 41 31 54 31 °4 30 16 29 27 40 50 37 04 36 19 35 33 34 48 34 °2 33 16 32 3° 31 43 3° 57 30 09 29 23 28 35 50 8 00 35 54 35 11 34 26 33 42 32 57 32 14 31 28 3° 44 29 59 29 12 28 27 27 41 8 00 10 34 42 34 "I 33 17 32 '35 31 52 31 °9 30 26 29 43 2859. 28 15 27 31 26 46 10 20 33 28 32 48 32 07 31 25 3° 45 30 03 29 21 28 40 27 58 27 15 26 33 25 5° 20 30 32 13 31 34 30 55 30 15 29 35 28 55 28 15 27 35 26 55 26 13 25 32 24 52 30 40 30 56 30 19 29 40 29 02 28 23 27 46 27 06 26 28 25 49 25 10 24 30 23 52 40 SO 29 37 29 00 28 24 27 48 27 11 26 34 25 57 25 20 24 43 24 °5 23 28 22 51 50 » 00 28 15 27 4i 27 06 26 31 25 56 25 20 24 45 24 11 23 35 22 59 22 24 21 47 9 00 10 26 53 26 20 25 47 25 13 24 40 24 06 23 32 23 00 22 26 21 51 21 17 20 43 lO 20 25 28 24 57 24 26 23 54 23 23 22 51 22 18 21 47 21 15 20 42 20 10 19 37 20 30 24 03 23 33 23 03 22 32 22 03 21 33 21 02 20 32 20 02 19 31 19 01 18 30 30 40 22 34 22 06 21 38 21 10 20 41 20 14 19 45 19 17 18 49 18 19 17 51 17 23 40 50 21 05 20 39 20 13 19 45 19 19 18 52 18 26 18 00 17 34 17 06 16 39 16 13 50 10 OO 19 34 19 10 18 45 18 21 17 55 17 31 17 °7 16 42 16 18 15 52 15 28 15 03 10 00 10 18 02 17 39 17 16 16 54 16 31 16 08 15 46 15 23 15 °° 14 36 14 14 13 51 10 20 16 28 16 07 15 46 15 26 15 °5 14 44 14 24 14 °3 13 42 13 21 13 °0 12 39 20 30 14 53 14 35 14 15 13 58 13 38 13 19 13 °° 12 41 12 22 12 03 11 44 11 26 30 40 13 16 13 OI 12 43 12 26 12 10 II 52 11 3 6 11 19 11 03 10 46 10 29 10 11 40 50 II 40 11 25 II 10 10 55 10 40 10 26 10 11 9 56 9 42 9 27 9 12 8 57 50 11 00 10 02 9 49 9 36 9 23 9 11 858 8 45 8 32 8 19 8 07 7 54 7 41 11 00 10 8 23 8 12 8 01 7 50 7 4° 7 29 7 19 7 08 6 57 6 47 636 6 25 lO 20 6 42 6 35 625 6 17 6 09 6 00 5 5i 5 43 5 35 5 25 5 17 5 °S 20 30 5 "3 4 56 4 50 4 43 4 37 4 3° 4 24 2 5° 4 18 4 12 4 °5 3 59 3 52 30 40 3 22 3 17 3 13 3 09 3 °4 3 00 2 52 2 48 2 44 2 39 2 35 40 50 1 41 1 39 1 37 1 35 1 33 1 31 1 29 1 26 1 23 1 21 1 19 1 17 50 13 OO 00 00 00 00 00 00 00 00. 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 148 AZIMUTH OR TRUE BEARING. LATITUDE 35°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 35°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. ta. m. o / / / / / ' / / , O / ' li. in. 00 O 00 00 00 00 00 00 00 00 00 00 00 00 10 2 57 ' 2 46 2 35 5 °8 2 25 2 15 2 06 1 58 1 5° 1 43 136 1 3° 10 20 5 53 8 44 5 3° 4 48 4 3° 4 12 3 5° 3 41 3 26 3 11 258 20 30 8 10 7 3? 7 10 6 42 6 16 5 52 5 29 5 06 4 46 4 26 30 40 It 30 10 46 10 06 9 27 851 8 18 7 46 7 15 6 46 6 19 5 53 40 50 14. 09 13 1° 12 27 11 40' 10 56 10 15 9 36 8 58 8 24 7 5° 7 18 50 1 00 16 39 15 39 14 42 13 48 12 57 12 08 11 23 10 39 9 58 9 19 8 40 1 00 10 19 02 17 54 16 50 15 49 14 52 13 57 13 °5' 12 16 11 29 10 44 10 00 lO 20 21 15 20 00 18 51 17 45 16 42 15 4i 14 44 13 49 12 57 12 06 11 18 20 30 23 17 21 59 20 44 19 32 18 24 17 20 16 17 15 18 14 21 13 25 12 32 30 40 25 '-I 23 48 22 29 21 14 20 01 18 52 17 45 16 41 15 4" 14 41 13 43 40 50 2° 54 25 29 24 07 22 47 21 31 20 18 19 08 18 01 16 54 15 51 14 51 50 2 00 28 29 27 00 25 3° 24 14 22 55 21 39 20 25 19 14 18 06 16 59 15 55 2 OO 10 29 57 28 23 26 57 25 33 24 11 22 53 21 37 20 23 19 11 18 02 16 55 10 20 31 10 29 39 28 11 26 45 25 21 24 02 22 43 21 27 20 13 19 01 17 51 20 30 32 17 30 46 29 17 27 50 26 26 25 °4 23 44 22 26 21 10 19 55 IS 44 30 40 33 17 31 45 3° 10 28 48 27 24 26 01 24 39 23 20 22 02 20 46 19 32 40 50 34 09 32 38 31 08 29 41 28 16 26 51 25 29 24 09 22 50 21 33 20 17 50 3 00 34 55 33 24 31 55 30 28 29 02 27 38 26 15 24 53 23 33 22 15 . 20 58 3 00 i 10 35 34 34 04 32 35 31 08 29 43 28 18 26 55 25 33 26 08 24 13 22 53 21 36 10 20 36 07 34 38 33 10 31 44 30 18 28 54 27 30 24 48 23 28 22 09 22 38 20 30 36 35 35 °° 33 40 32 14 3° 49 29 24 28 01 26 40 25 18 2358 30 40 3656 35 30 34 °4 32 38 31 15 29 51 28 28 27 06 26 08 24 25 23 °5 40 50 37 13 35 47 34 23 32 58 31.35 30 13 28 50 27 29 24 47 23 28 50 4 00 37 26 36 01 34 37 33 15 31 53 30 3° 29 08 27 48 26 27 25 08 23 48 4 OO 10 37 33 36 11 34 49 33 27 32 05 3° 44 29 23 28 03 26 43 25 23 24 04 10 20 37 37 36 16 34 55 33 34 32 14 30 54 29 34 28 15 26 56 25 3° 24 17 20 30 37 37 36 17 34 58 33 38 32 20 31 01 29 41 28 23 27 05 25 46 24 28 30 40 37 33 36 15 34 57 33 39 32 22 31 "3 29 45 28 28 27-10 25 52 24 35 40 50 37 26 3° 09 34 53 33 3° 32 20 31 °3 29 46 28 29 27 12 25 5° 24 39 50 5 00 37 1° 36 00 34 45 33 30 32 14 3° 59 29 44 28 28 " 27 12 25 57 24 41 5 00 10 37 02 35 47 34 34 33 20 32 06 30 52 29 38 28 24 27 °9 25 54 24 39 10 20 36 45 35 33 34 20 33 °8 31 5° 30 43 29 30 28 17 27 04 25 49 24 3° 20 30 36- 25 35 15 34 °4 32 54 32 3° 31 42 3° 31 29 I? 28 08 26 55 25 43 24 30 30 40 36 03 34 54 33 45 31 26 30 16 29 06 27 55 26 44 25 33 24 21 40 50 35 38 34 31 33 24 32 16 31 08 30 00 28 50 27 41 26 31 25 21 24 10 50 6 00 35 11 34 05 32 59 31 52 30 46 29 39 28 32 27 24 26 16 25 °7 23 57 6 00 10 34 41 33 37 32 32 31 27 3° 23 29 16 28 10 27 04 25 58 24 50 23 42 10 20 34 °9 33 06 32 03 31 01 29 5° 28 52 27 48 2° 43 25 38 24 32 23 25 20 30 33 35 32 33 31 32 30 31 29 28 28 25 27 22 26 19 25 15 24 10 23 06 30 40 32 58 31 59 30 59 29 58 2858 27 57 26 55 25 53 24 5° 23 47 22 44 40 50 32 20 31 21 3° 23 29 25 28 25 27 26 26 26 25 25 24 24 23 23 22 20 50 7 00 31 39 30 42 29 45 23 49 27 5i 26 53 25 55 24 5° 23 5° 22 57 21 55 7 00 lO 30 56 30 01 29 06 28 10 27 15 26 18 25 22 24 24 23 26 22 28 21 29 10 20 30 12 29 18 28 25 27 3° 26 37 25 41 24 4° 23 5° 22 54 21 57 21 00 20 30 29 25 28 33 27 41 26 49 25 5° 25 °4 24 10 23 15 22 21 21 26 20 30 30 40 '«S 37 27 47 26 57 26 06 25 15 24 23 23 31 22 39 21 46 20 53 19 59 40 50 27 47 26 58 26 10 25 21 24 32 23 41 22 51 22 00 21 09 20 17 19 26 50 8 OO 26 55 26 08 25 21 24 34 23 4° 22 58 22 09 21 21 20 31 19 41 18 5° 8 00 10 26 02 25 17 24 32 23 4° 22 59 22 13 21 26 20 39 19 52 19 04 18 14 10 20 25 07 24 23 23 39 22 56 22 11 21 27 20 42 19 5° 19 10 18 24 17 37 20 30 24 10 23 28 22 47 22 05 21 21 20 38 19 5° IQ 12 18 27 17 43 16 59 30 40 23 12 22 31 21 51 21 11 20 30 IQ 49 19 OS l8 25 17 43 17 01 16 18 40 50 22 13 21 34 20 55 20 17 19 33 18 58 18 19 17 39 16 59 16 18 15 37 50 9 00 21 12 20 34 19 58 19 21 IS 44 18 06 17 29 16 50 16 12 15 33 14 54 9 00 lO 20 09 19 34 18 59 IS 24 17 26 17 48 17 13 16 37 16 01 15 24 14 48 14 11 10 20 19 05 18 32 18 00 1° 53 16 19 15 45 15 II 14 3° 14 02 13 26 20 30 18 00 17 29 16 58 16 27 15 55 15 23 14 51 14 20 13 47 13 14 12 41 30 40 16 54 16 24 15 55 15 26 14 5° 14 27 13 5° 13 26 12 56 12 25 11 54 40 50 15 46 15 19 14 51 14 24 13 57 13 29 13 °l 12 33 12 05 11 36 11 06 50 10 OO 14 38 14 12 13 47 13 22 12 56 12 31 12 05 11 38 11 13 10 46 10 19 10 00 lO 13 28 13 °5 12 41 12 19 11 55 II 31 11 07 1° 43 10 19 9 54 9 3<> 10 20 12 18 11 5° 11 35 11 15 1° 53 10 31 10 10 9 47 9 25 9 03 8 40 20 30 11 07 10 47 10 28 10 09 9 5° 9 3° 9 10 8 50 8 31 8 10 7 50 30 40 9 55 9 37 9 20 9 °3 8 46 8 28 8 11 7 53 7 35 7 18 6 59 40 50 8 42 8 27 8 12 7 57 7 41 7 26 7 11 6 56 6 40 6 24 6 08 50 11 00 7 28 7 16 7 03 6 49 6 37 6 23 6 10 5 57 5 44 5 3° 5i° 11 00 10 6 14 6 03 5 52 5 42 5 3i 5 20 5 09 4 58 4 47 4 35 4 24 10 20 5 01 4 52 4 43 4 34 4 25 4 17 4 08 3 59 3 'SO 3 4J 3 32 20 30 3 46 3 39 3 33 3 26 3 19 3 12 3 06 2 59 2 52 2 46 2 39 30 40 2 31 2 27 2 22 2 18 2 13 2 09 2 04 1 59 1 56 1 5i 1 46 40 50 1 15 1 13 1 11 1 08 1 06 1 04 1 02 1 00 58 ° 55 53 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude^ when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude ; when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 149 AZIMUTH OR TRUE BEARING. LATITUDE 36°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 36°. Hour angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour angle. to. in. o / / / / / / / / / / / ' Ii. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 ■180 00 180 00 180 00 180 00 O 00 10 169 07 168 16 167 14 166 00 164 29 162 43 160 02 157 40 151 54 144 48 133 36 "5 25 lO 20 30 158 52 157 17 155 28 153 18 150 43 147 33 143 39 13846 132 33 124 37 "4 35 102 21 20 149 37 147 35 145 16 142 34 139 27 135 50 131 33 126 32 120 37 113 43 105 52 97 06 30 40 50 141 33 139 16 136 42 133 48 130 34 127 04 122 46 118 06 112 53 107 07 100 49 94 04 40 134 3= 132 15 129 38 126 45 123 35 120 06 116 15 112 04 107 3i 102 37 97 25 91 57 50 1 00 128 44 126 22 123 47 121 00 118 00 "4 45 in 16 107 30 103 31 99 18 94 53 90 17 1 OO 10 123 40 121 22 118 54 116 15 113 27 no 27 107 16 103 54 100 23 96 41 92 51 88 53 10 m 20 119 20 117 07 "4 45 112 16 109 40 106 54 103 59 100 57 97 48 94 31 91 06 8738 20 30 115 32 "3 25 in 12 108 52 106 26 i°3 53 101 13 98 28 95 36 92 38 89 38 86 30 30 40 112 12 no 12 108 06 105 54 103 38 101 17 98 49 96 18 93 41 go 59 8931 88 14 85 26 40 50 109 14 107 20 105 21 103' 18 IOI II 98 59 96 42 94 22 9^58 87 00 84 25 50 a 00 106 35 104 46 102 54 100 57 9858 96 55 94 48 92 38 90 24 88 08 85 49 83 26 2 00 10 104 10 102 26 100 40 98 50 96 58 95 02 93 °3 91 01 -8857 86 50 84 41 82 30 10 20 101 57 100 18 98 37 96 53 95 06 93 18 91 27 89 33 87 36 '85 37 83 37 81 34 20 30 99 53 98 20 96 43 95 05 93 24 91 41 89 56 88 09 86 19 84 28 82 34 80 39 30 40 97 59 96 29 94 57 93 23 91 '47 90 10 88 30 86 49 85 °5 83 20 81 33 79 45 40 50 96 11 94 45 93 17 91 48 90 17 88 44 87 09 85 33 83 54 82 15 80 33 78 51 50 3 00 94 29 93 °6 91,42 90 16 88 49 87 21 85 50 84 19 82 45 81 n 79 35 77 57 3 OO 10 92 51 91 32 90 12 88 50 87 26 86 00 84 34 83 07 81 38 80 08 7836 77 04 10 20 91 19 90 02 88 45 87 26 86 05 84 44 83 21 81 57 80 31 79 06 77 38 76 10 20 30 8949 8836 87 21 86 04 84 47 83 29 82 10 80 49 79 27 78 04 76 40 75 16 30 40 88 23 87 12 85 59 84 45 83 31 82 16 80 59 79 41 78 22 77 03 75 43 74 22 40 50 8659 85 50 84 40 83 28 82 17 81 04 79 49 78 34 77 19 76 03 74 45 73 27 50 4 00 8538 84 30 83 22 82 13 81 04 79 53 78 41 77 30 76 16 75 02 73 47 72 32 4 00 lO 84 17 83 11 82 06 8058 79 51 78 43 77 33 76 24 75 13 74 02 72 49 71 36 10 20 82 58 81 54 80 50 79 45 78 39 77 33 76 26 75 19 74 10 73 °° 71 50 70 40 20 30 81 40 80 38 79 36 78 32 77 28 76 24 75 19 74 13 73 °6 7i 59 70 52 69 42 30 40 80 23 79 23 78 22 77 20 76 18 75 15 74 12 73 07 72 02 7058 69 52 68 45 40 50 79 07 78 08 77 08 76 08 75 °7 74 06 73 04 72 02 70 59 6956 68 51 67 46 50 5 00 77 50 76 53 75 55 74 56 73 56 72 56 7i 56 70 56 69 54 68 52 67 49 66 47 5 OO lO ■76 34 75 38 74 4i 73 43 72 45 71 47 70 49 69 49 ■68 47 67 49 66 48 65 47 10 20 75 19 74 23 73 28 72 31 71 35 70 38 69 40 68 42 67 43 66 45 65 45 64 45 20 30 74 02 73 08 72 14 71 18 70 23 69 27 68 30 67 34 66 37 65*39 64 40 63 42 30 40 .72 46 71 52 7° 59 70 05 69 10 68 16 67 21 66 25 65 29 64 33 63 36 62 39 40 50 71 29 70 37 69 44 68 51 67 58 67 04 66 10 65 16 64 20 63 26 62 31 61 34 50 6 00 70 11 69 20 68 28 67 35 66 43 65 50 6458 64 °5 63 11 62 17 61 22 60 28 6 OO lO 6852 68 02 67 II 66 20 65 28 64 37 63 45 62 52 61 59 61 07 60 14 59 20 10 20 67 34 66 43 65 53 65 03 64 13 63 22 62 31 61 40 60 48 59 57 59 04 58 12 20 30 66 13 65 23 64 35 63 45 62 56 62 06 61 15 60 25 59 34 58 44 57 52 57 01 30 40 64 51 64 03 63 15 62 26 61 37 60 48 59 59 59 09 58 19 57 29 56 39 55 50 40 50 63 28 62 40 61 53 61 04 60 17 59 29 .58 40 57 52 57 03 56 15 55 26 54 37 50 7 OO 62 03 61 17 60 29 59 42 58 55 58 08 57 20 56 33 55 45 54 58 54 09 53 21 7 OO 10 60 36 59 51 59 05 58 19 57 3i ' 56 45 55 58 55 12 54 25 ■ 53 38 52 51 52 04 10 20 59 09 58 23 57 37 56 52 56 07 55 21 54 35 53 49 53 03 52 17 51 31 50 46 20 30 57 39 56 54 56 09 55 24 54 39 S3 55 53 10 52 25 51 40 5° 55 50 10 49 25 ' 30 40 56 07 55 23 54 37 53 53 53 11 52 26 51 43 50 59 50 15 49 31 48 47 48 02 40 50 54 32 53 49 53 05 52 22 51 39 50 57 5° 13 49 3° 48 47 48 04 47 21 46 38 50 8 00 52 56 5? 13 51 31 50 48 50 06 49 24 48 42 48 00 47 17 46 35 45 53 45 11 8 OO 10 51 17 50 36 49 54 49 12 48 30 47 49 47 08 46 27 45 45 45 05 44 23 43 42 lO 20 49 36 48 55 48 14 47 34 46 52 46 12 45 32 44 52 44 11 43 32 42 51 42 11 20 30 47 51 47 11 46 31 45 52 45 11 44 33 43 53 43 14 42 34 41 56 41 17 40 38 30 40 46 05 45 25 44 46 44 07 43 29 42 48 42 12 41 34 4° 55 40 19 39 40 39 °3 40 50 44 14 43 36 42 59 42 20 41 42 41 05 40 28 39 51 39 15 38 38 38 01 37 25 50 9 OO 42 21 41 43 41 07 40 30 39 53 39 18 38 42 38 06 37 3° 36 55 36 20 35 45 9 00 10 40 24 39 49 39 13 38 37 38 02 37 28 36 52 36 18 35 44 35 10 34 36 34 02 10 20 38 25 37 50 37 16 36 42 36 08 35 35 35 01 34 28 33 54 33 23 32 51 32 18 20 30 36 23 35 49 35 16 34 43 34 11 33 38 33 07 32 35 32 03 31 33 31 02 30 31 30 40 34 16 33 45 33 13 32 42 32 10 31 40 31 10 30 40 30 10 29 40 29 10 28 42 40 50 32 07 31 36 31 °7 30 37 30 07 29 39 29 09 28 41 28 13 27 46 27 17 26 50 SO 10 00 29 54 29 25 2858 28 30 28 02 27 35 27 07 26 41 26 14 25 49 25 22 24 56 10 00 10 27 38 27 12 26 45 26 19 25 53 25 28 25 02 24 37 24 12 23 49 23 24 23 00 lO 20 25 20 24 55 24 30 24 06 23 42 23 18 22 55 22 32 22 09 21 46 21 24 21 02 20 30 22 58 22 35 22 13 21 5° 21 28 21 07 20 45 20 24 20 03 19 43 19 22 19 01 30 40 20 32 20 12 19 52 19 32 19 12 1852 18 33 18 14 17 55 17 36 17 18 17 00 40 50 18 05 17 47 17.29 17 11 16 54 16 36 16 19 16 02 15 45 15 29 15 12 14 57 . 50 11 00 . 15 35 15 19 15 °3 14 48 14 32 14 18 14 02 13 48 13 33 13 19 13 05 12 51 11 00 10 13 02 12 49 12 36 12 23 12 10 11 57 II 45 II 32 II 20 II 09 10 56 10 45 10 20 10 28 10 17 10 06 9 57 9 46 9 36 9 26 9 16 9 06 8 57 846 8 37 20 30 7 53 7 44 7 36 7 29 7 21 7 13 7 05 6 58 6 50 6 43 636 6 28 30 40 5 16 5 11 5 05 5 00 4 54 4 49 4 44 4 39 4 34 4 29 4 24 4 20 40 50 2 38 2 35 2 33 2 30 2 27 2 24 2 22 2 20 2 17 2 14 2 12 2 10 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 150 AZIMUTH OR TRUE BEARING. latitude; 36°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 36°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 440 45° 46° 47° Hour Angle. ]«. m. o / / / / / / / / / / 1 / / li. in. 00 00 00 00 00 00 00 00 00 00 00 00 O 00 10 89 16 62 48 44 12 32 43 25 28 20 36 17 10 14 37 12 41 11 08 9 53 851 10 20 88 32 74 33 61 54 51 24 6r 00 43 °3 36 31 31 23 27 17 24 OO 21 18 19 04 17 10 20 30 87+8 78 22 69 17 53 3» 47 17 41 5i 37 °5 33 20 29 58 27 »7 24 37 30 40 87 03 79 57 72 57 66 17 60 04 54 20 49 16 44 42 40 38 37 02 33 51 31 02 40 50 86 19 80 36 74 57 69 25 64 07 59 08 54 28 50 09 46 14 42 37 39 21 36 24 50 1 OO 85 35 80 48 76 02 71 21 66 46 62 22 58 09 54 12 50 29 47 °i ' 43 48 40 48 1 00 10 84 51 80 44 76 37 72 33 68 32 64 37 60 50 57 12 53 44 50 26 47 20 44 25 10 20 84 05 80-30 76 52 73 16 69 42 66 11 62 46 59 25 56 12 53 °7 50 10 47 20 20 30 83 20 80 08 7° 54 73 41 70 28 67 17 64 09 61 06 58 06 55 12 52 24 49 42 30 40 82 35 79 41 76 46 73 51 7° 55 68 01 65 09 62 19 59 32 56 5° 54 11 w 36 40 50 81 49 79 " 76 3i 73 51 71 10 68 30 65 5i 63 13 60 37 58 05 55 35 53 °9 50 2 OO 81 03 7838 76 10 73 43 71 15 68 46 66 19 63 52 61 26 59 °3 56 40 54 21 2 00 1 io 80 17 78 02 75 46 73 29 71 11 6852 66 34 64 18 62 01 59 45 57 31 55 19 10 20 79 3o 77 25 75 17 73 1° 71 01 6851 66 43 64 33 62 24 60 17 5809 56 04 20 30 7» 43 76 45 74 46 72 46 7° 45 6843 66 42 64 4i 62 39 60 38 58 37 56 37 30 40 77 55 76 05 74 12 72 19 70 26 6831 66 36 64 40 62 45 60 50 58 55 57 °i 40 50 77 08 75 23 73 36 7i 5° 70 02 68 14 66 25 64 35 62 45 6° 55 59 °6 57 16 50 3 00 76 19 74 40 72 59 71 18 69 35 67 52 66 08 64 24 62 39 6055 59 1° 57 25 3 OO 10 75 3° 73 55 72 19 7° 43 63 05 67 27 6548 64 09 62 29 60 48 59 °8 57 27 IO 20 7440 73 10 7i 38 70 06 68 32 6659 65 24 , 63 49 62 13 60 37 59 01 57 24 20 30 73 50 72 23 70 56 69 27 68 47 67 58 66 28 64 57 63 26 61 54 60 22 58 49 57 16 30 40 72 59 71 36 70 12 67 21 65 55 64 28 63 00 61 32 60 03 58 35 57 °4 40 50 72 08 70 48 69 27 68 06 66 43 65 20 63 56 62 32 61 07 59 41 58 15 56 48 50 4 00 7i 15 69 58 68 40 67 22 66 02 64 42 63 21 62 00 60 38 59 16 57 52 56 29 4 00 10 70 22 69 08 68 16 67 52 66 36 65 20 64 02 62 44 61 25 60 06 58 47 57 27 56 06 10 20 69 28 68 33 67 03 65 5° 64 35 63 21 62 05 60 49 59 33 58 16 5658 55 40 20 30 67 23 66 13 65 02 63 50 62 38 61 25 60 II S8 5° 57 42 56 27 55 11 30 40 67 38 66 30 65 22 64 13 63 03 61 53 60 41 59 3° 58 47 58 18 57 °6 55 53 54 40 40 50 66 41 65 35 64 29 63 22 62 15 61 06 59 57 57 38 56 27 55 17 54 °5 50 5 00 65 43 64 39 63 34 62 29 61 24 60 18 59 1° 5803 56 55 55 48 54 38 53 28 5 00 10 64 45 63 43 62 39 61 36 60 31 59 28 58 22 57 17 56 II 55 °4 53 57 52 49 10 20 °3 45 62 45 61 42 60 41 59 39 5836 57 33 56 29 55 24 54 20 53 15 52 J9 20 30 62 44 61 44 60 44 59 45 58 44 57 43 56 41 55 39 54 36 53 33 52 29 51 2 5 30 40 61 41 60 43 59 45 58 45 58 46 57 47 56 47 55 47 54 47 53 46 52 45 51 42 50 40 40 50 60 38 59 42 57 48 56 49 55 51 54 53 53 53 52 54 51 54 5° 53 49 53 50 6 00 59 33 5838 57,42 56 47 55 5i 54 54 53 5° 52 59 52 00 51 02 5° °3 49 °3 6 OO 10 58 27 57 32 56 38 55 43 54 48 53 53 52 57 52 01 51 °4 50 08 49 l° 48 12 IO 20 57 20 56 27 55 33 54 4° 53 46 52 52 51 5/ 51 °2 5° 07 49 I 2 48 16 47 19 20 30 5° 10 55 18 54 26 53 35 52 42 51 49 5° 55 50 02 49 °7 48 14 47 19 46 24 30 40 54 59 54 09 53 18 52 27 51 35 5° 43 4 2 5 J 48 59 48 06 47 14 46 20 45 26 40 50 53 47 52 57 52 08 51 18 50 28 49 37 48 46 47 55 47 03 46 12 45 20 44 28 50 7 00 52 33 5i 44 5° 55 50 07 48 06 48 29 47 39 46 5° 45 58 45 °9 44 18 43 26 7 00 10 51 17 5° 3° 49 42 48 55 47 19 46 29 45 4i 44 52 44 °3 43 14 42 24 IO 20 49 59 49 13 48 26 47 4° 46 52 46 06 45 19 44 32 43 43 42 56 42 08 41 20 20 30 48 40 47 54 47 09 46 24 45 38 44 52 44 °5 43 19 42 33 41 47 41 00 4° 13 30 40 47 18 46 34 45 49 45 °6 44 21 43 36 42 52 42 07 41 21 40 36 39 5i 39 °4 40 50 45 55 45 11 44 28 43 45 43 °2 42 19 41 35 4° 51 40 07 39 2 4 38 39 37 55 50 8 00 44 29 43 46 43 05 42 24 41 41 40 58 40 15 39 33 385° 38 08 37 25 36 42 8 00 10 43 02 42 21 41 40 4° 59 40 17 39 37 38 5° 38 15 37 33 36 53 36 10 35 29 IO ■ 20 41 32 4° 53 40 12 39 33 38 53 3 § J 3 37 33 3° 53 36 13 35 33 34 54 34 12 20 30 40 00 39 22 38 43 38 04 37 26 3648 36 09 35 3° 34 52 34' 13 33 34 32 55 3U 40 38 26 37 49 37 11 36 34 35 57 35 20 34 42 34 °5 33 27 3 2 51 32 13 31 36 ,40 ' ,. 50 36 49 36 14 35 37 35 02 34 25 33 5° 33 13 32 38 32 02 31 2 7 3° 51 3° 15 50 9 OO 35 10 34 36 34 °l 33 27 32 52 32 18 31 43 31 °8. 3° 34 30 00 29 26 28 51 9 00 IO 33 29 32 56 32 23 31 5° 31 17 3° 43 30 11 2938 29 04 28 33 28 00 27 26 10 20 31 46 31 15 30 43 30 11 29 4° 29 08 28 37 28 05 27 33 27 03 26 30 26 00 20 30 30 01 29 30 2859 2831 27 59 27 3° 27 00 26 31 26 01 25 32 25 01 24 32 30 40 28 13 27 44 27 15 26 47 26 18 25 51 25 22 24 53 24 25 2 3 58 23 30 23 02 40 50 26 23 25 55 25 28 25 02 24 35 24 08 23 42 23 10 22 49 22 23 21 56 21 31 50 10 OO 24 31 24 05 23 40 23 15 22 5° 22 25 22 00 21 35 21 II 20 47 20 23 19 58 10 OO 10 22 36 22 13 21 49 21 26 21 03 20 40 20 16 19 53 19 3° 19 08 18 46 18 24 IO 20 20 40 20 19 19 56 19 36 19' 14 18 53 18 32 18 11 17 49 17 29 17 08 16 47 20 30 18 42 18 22 18 02 17 43 17 24 17 05 16 45 16 26 16 07 1548 15 29 15 10 30 40 16 42 16 24 l6 06 15 49 15 3i 15 14 14 57 14 4° 14 23 14 06 13 49 12 08 13 32 40 50 14 40 14 24 14 °9 13 54 13 39 13 23 13 °8 12 53 12 38 12 23 11 53 50 11 00 12 37 12 24 12 10 11 57 II 44 II 31 11 18 II 04 10 52 10 39 10 26 10 13 11 00 10 10 33 10 22 10 II 10 00 9 49 . 9 37 9 2 7 9 15 9 °5 8 54 844 8 33 10 20 8 28 8 19 8 10 8 01 7- 52 7 43 7 34 7 25 7 17 708 6 59 651 20 30 6 22 6 15 6 08 6 02 5 54 5 47 5 41 5 34 5 27 5 22 5 15 5 °8 30 40 4 15 4 10 4 06 4 01 3 56 3 53 3 48 3 43 3 39 3 35 3 31 3 26 40 50 2 08 2 05 2 03 2 00 1 59 1 56 1 54 I 52 I 49 1 47 1 45 1 43 50 12 00 00 00 00 6 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 151 AZIMUTH OR TRUE BEARING. ; LATITUDE 36°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 36°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. n. ill. o / / / / / / / / / / / / li. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 O 00 10 7 59 7 14 6 36 6 03 5 33 5 08 4 44 4 24 4 04 3 48 3 32 318 10 20 15 34 14 10 12 58 11 54 10 58 10 08 9 23 8 41 8 04 7 31 7 00 6 32 ' 20 30 22 27 20 34 26 16 18 51 17 25 16 05 14 53 13 49 12 50 11 57 11 08 10 23 13 38 9 42 30 40 28 31 24 16 22 27 20 49 19 20 18 00 16 46 15 38 14 35 12 45 40 50 33 42 31 14 29 01 26 59 25 07 23 25 21 51 20 25 19 06 17 52 16 43 15 39 50 1 00 38 02 35 29 33 08 3058 2857 27 05 25 22 23 47 22 16 20 53 19 36 18 23 1 OO lO 20 30 40 50 10 41 40 39 05 36 42 34 27 32 20 30 22 28 33 26 49 25 12 23 42 22 16 20 57 20 44 39 42 07 39 43 37 27 35 18 33 16 31 21 29 34 27 52 26 15 24 44 23 18 30 47 07 44 38 42 16 40 00 37 51 35 48 33 52 32 01 3° 15 28 34 26 59 25 28 .40 49 °8 46 44 44 24 46 12 42 11 40 04 38 00 36 03 34 10. 32 22 30 40 29 01 27 27 50 50 46 48 27 44 02 41 56 39 54 37 57 36 04 34 15 32 31 3° 5° 29 14 2 00 52 06 49 51 47 4i 45 35 43 3i 41 32 39 36 37 44 35 54 34 10 32 29 30 5° 2 OO 10 53 09 51 °° 48 56 46 53 44 53 42 55 41 01 39 1° 37 22 35 37 33 55 32 17 10 20 53 59 54 38 51 56 49 55 47 5° 46 00 44 05 42 14 40 24 38 37 36 53 35 12 33 33 20 30 52 40 -50 43 48 49 46 55 45 °4 43 15 41 27 39 42 37 59 '3° 18 34 4° 30 40 55 07 53 14 51 22 49 31 47 42 45 53 44 °7 42 21 40 38 38 57 37 17 35 39 •40 SO 55 27 53 38 51 51 50 04 48 18 46 32 44 48 43 °6 41 25 39 45 38 07 36 3° 50 3 00 55 41 53 55 52 12 50 28 48 46 47 03 45 23 43 43 42 03 40 26 38 49 37 14 3 00 10 55 4i 54 06 52 26 5° 47 49 °7 47 28 45 50 44 12 42 35 4° 59 39 24 37 5° 10 20 55 48 54 1° 52 34 5058 49 21 47 45 46 09 44 35 42 59 41 26 39 52 38 2r 20 30 55 44 54 1° 52 37 51 05 49 3° 47 57 46 24 44 5i 43 18 41 46 4° 15 38 45 30 40 55 35 54 °4 52 34 51 °4 49 33 48 03 46 32 45 02 43 32 42 02 4° 33 39 °4 40 50 55 21 53 54 52 27 51 00 49 32 48 03 4° 35 45 °8 43 40 42 13 4° 45 39 17 50 4 00 55 °5 53 4° 52 16 5° 5i 49 25 48 00 46 35 45 1° 43 43 42 18 40 53 39 26 4 OO 10 54 44 53 23 52 OT 50 38 49 15 47 53 46 29 45 06 43 43 42 19 40 55 39 32 10 20 54 21 53 02 51 43 50 22 49 °i 47 41 46 20 44 59 43 38 42 16 40 54' 39 32 20 30 53 55 52 37 51 20 50 03 48 44 47 25 46 07 44 48 43 28 42 09 40 49 39 29 30 40 53 25 52 10 50 56 49 40 , 48 24 47 °7 45 51 44 34 43 16 41 58 40 40 39 22 40 50 52 53 51 4o 50 28 49 14, 48 00 46 46 45 3i 44 16 43 00 41 45 40 28 39 11 50 5 00 52 19 51 08 49 57 48 45 47 33 46 21 45 08 43 55 42 41 41 27 40 12 3858 5 00 10 51 42 50 33 49 24 48 48 48 14 47 °4 45 53 44 42 43 31 42 19 41 07 39 54 38 42 10 20 51 02 49 56 47 41 46 32 45 24 44 14 43 °5 41 55 40 44 39 33 38 21 20 30 50 20 49 15 48 33 48 10 47 04 45 58 44 51 43 44 42 35 41 26 40 18 39 09 37 59 30 40 49 38 47 30 46 26 45 21 44 15 43 10 42 04 40 57 39 49 3841 37 34 40 50 48 51 47 49 46 47 45 45 44 41 43 38 42 34 41 3° 40 24 39 18 38 12 37 07 SO 6 OO 48 04 47 03 46 02 45 02 44 00 42 57 41 56 40 53 39 49 38 45 37 41 36 36 6 OO 10 • 47 14 46 15 45 16 44 19 43 17 42 16 41 15 40 14 39 12 38 10 37 °7 36 04 10 20 46 22 45 24 44 27 43 29 42 31 41 32 40 32 39 32 38 33 37 32 36 30 35 29 20 30 45 28 44 33 43 36 42 40 41 43 40 45 1 39 47 38 50 37 51 36 52 . 35 52 34 52 30 40 44 32 43 38 42 43 41 49 40 53 39 57 39 °I 38 04 37 07 36 10 35 11 34 13 40 50 43 36 42 42 41 49 4° 55 40 01 39 °° 38 12 37 17 36 21 35 25 34 29 33 31 50 7 00 42 35 41 44 40 53 40 00 39 07 38 14 37 21 36 27 35 33 34 39 33 44 32 48 7 00 lO 41 34 40 44 39 54 39 °3 38 12 37 20 36 28 35 36 34 43 33 5° 32 57 32 03 10 20 40 31 39 42 38 53 38,04 37 14 36 24 35 34 34 43 33 51 33 °° 32 08 31 16 20 30 39 26 3838 37 51 37 03 36 15 35 26 34 37 33 48 32 58 32 08 31 18 30 28 30 40 38 19 37 33 36 46 36 01 35 13 34 26 33 39 32 51 32 03 31 15 30 26 29 37 40 50 37 10 36 26 35 41 34 56 34 10 33 24 32 38 31 52 31 05 30 18 29 32 28 45 50 8 OO 36 00 35 16 34 32 33 49 33 05 32 21 31 36 30 52 30 06 29 22 28 36 27 50 8 00 10 34 47 34 05 33 24 32 41 31 58 31 16 30 33 29 49 29 06 28 22 27 38 26 54 10 20 33 33 32 52 32 11 31 31 3° 5° 30 09 29 27 28 46 28 04 27 22 26 40 25 57 20 30 32 16 31 37 3° 58 30 19 29 40 29 00 28 20 27 4^ 27 00 26 20 25 39 24 58 30 40 3° 59 30 21 2 § 4 3 29 05 28 28 27 5° 27 12 26 33 25 54 25 16 24 37 23 58 40 50 29 39 29 03 28 26 27 5° 27 14 26 37 26 01 25 24 24 47 24 10 23 33 22 55 50 9 00 28 17 27 43 27 08 26 33 25 59 25 24 24 49 24 14 23 38 23 °4 22 27 21 52 9 OO 10 26 54 26 21 25 49 25 15 24 42 24 09 23 35 23 02 22 29 21 55 21 21 20 47 10 20 25 29 24 58 24 27 23 55 23 24 22 52 22 21 21 49 21 17 20 46 20 13 19 41 20 30 24 02 23 33 23 °4 22 33 22 04 21 35 21 04 20 35 20 05 19 35 19 °4 18 34 30 40 22 34 22 07 21- 39 21 11 20 43 20 15 19 47 19 18 18 51 18 22 17 54 17 % 40 50 21 04 20 38 20 12 19 47 19 20 18 54 18 28 18 01 17 35 17 09 16 42 16 16 50 10 00 19 33 19 10 18 45 18 20 17 56 17 32 17 07 16 43 16 19 15 55 15 3° 15 05 10 00 lO 18 01 17 38 17 16 16.54 16 31 16 09 15 46 15 24 15 01 14 39 14 16 13 53 10 20 16 27 16 07 15 46 15 26 15 05 14 44 14 24 14 04 13 43 13 22 13 01 12 40 20 30 14 52 14 33 14 15 13 56 13 38 13 19 13 01 12 42 12 23 12 04 II 46 II 27 30 40 13 16 12 59 12 43 12 26 12 10 II 52 11 36 11 19 11 03 10 46 10 30 10 12 40 50 11 39 II '24 11 10 10 55 10 41 10 25 10 11 9 56 9 42 9 27 9 12, 858 50 11 OO 10 00 9 48 9 36 9 22 9 10 8 57 8 45 8 32 8 20 8 07 1 7 54 7 43 11 00 10 8 22 8 II 8 00 7 5° 7 39 7 29 7 19 7 /8 658 6 47 6 37 6 26 10 20 6 43 6 34 625 6 17 6 09 6 00 5 51 5 43 5 35 526 5 18 5 09 20 30 5 ° 2 4 55 4 49 4 44 4 37 4 3° 4 24 4 18 4 12 4 °5. 3 59 3 53 30 40 3 22 3 17 3 13 3 °9 3 05 3 01 2 56 2 52 2 48 2 43 2 39 2 35 40 50 1 40 1 38 1 36 1 34 1 3 2 1 30 1 28 I 26 1 24 1 22 1 20 1 18 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 152 AZIMUTH OR TRUE BEARING. LATITUDE 36°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 36°. Hour Angle. 60° 61° 62° 63° 64° 65° i 66° 67° 68° 69° 70° Hour Angle. b. in. o / / / / / / / / / / / Ii. hi. O 00 O 00 00 00 00 00 00 00 00 00 00 00 00 10 3 °4 2 51 2 40 2 29 4 5° 2 20 2 10 2 02 1 54 1 46 1 39 1 31 10 20 6 06 5 42 8 28 5 19 4 39 4 20 4 03 3 46 3 31 3 17 3 03 20 30 9 °4 7 55 7 24 ' 6 55 , 6 28 6 02 5 38 5 15 4 54 4 33 30 40 ii 56 11 10 10 26 9 46 9 08 8 33 7 59 7 27 6 57 6 29 6 02 40 50 14 40 13 44 12 52 12 03 11 17 ■ 10 34 9 53 9 14 8 37 8 02 7 28 50 1 00 17 15 16 11 15 11 14 14 13 21 12 30 11 42 10 57 10 13 9 32 8 54 1 00 10 19 41 18 30 17 22 16 19 15 19 14 21 13 27 12 35 11 46 11 00 10 16 10 20 21 56 20 40 19 26 18 17 17 10 16 oS 15 08 14 11 13 17 12 24 II 34 20 30 24 02 22 40 21 21 20 06 1856 17 48 16 43 15 41 14 41 13 45 12 50 30 40 25 56 24 31 23 08 21 50 20 34 19 22 18 13 17 07 16 03 15 01 14 03 15 "' 40 50 27 41 26 12 24 4.6 23 24 22 06 20 50 19 37 18 27 17 18 16 13 50 2 00 29 IS 27 45 26 16 24 52 23 30 22 12 20 55 19 41 18 31 17 22 16 16 2 00 10 30 41 29 09 27 39 26 12 24 47 23 26 22 08 20 51 19 38 iS 26 17 17 10 20 ■ 31 57 30 22 2853 27 24 25 58 24 35 23 14 21 56 20 39 19 26 18 14 20 30 33 04 31 30 29 59 28 30 27 03 25 38 24 15 22 55 21 37 20 20 19 07 30 40 34 03 32 30 30 57 29 28 28 01 2° 35 25 12 23 50 22 30 21 12 19 57 40 50 34 54 33 21 .31 50 30 20 28 52 27 26 26 02 24 38 23 18 21 58 20 42 50 3 00 35 39 34 07 32 36 31 06 29 37 28 11 26 46 25 23 24 "01 22 41 21 22 3 00 io 36 17 34 46 33 15 31 46 30 18 28 51 27 26 26 02 24 40 23 18 21 59 10 20 36 48 35 19 33 48 32 20 30 53 29 27 28 02 26 37 25 15 23 53 22 33 20 30 37 15 35 46 34 17 32 50 31 22 29 56 28 32 27 08 25 45 24 23 23 03 30 40 37 35 36 08 34 40 33 13 31 47 30 22 28 58 27 34 26 11 24 50 23 29 40 50 37 50 36 24 34 58 33 33 32 08 30 44 29 20 27 56 26 34 25 12 23 52 50 4 00 38 01 36 37 35 11 33 47 32 24 31 01 29 37 28 15 26 52 25 32 24 12 4 00 IO 38 08 36 45 35 21 33 59 32 36 31 13 29 51 28 29 27 08 25 47 24 28 10 20 38 10 36 49 35 27 34 05 32 44 31 22 30 01 28 40 27 19 25 59 24 38 20 30 38 09 36 49 35 28 34 08 32 48 31 28 30 07 28 48 27 28 26 09 24 49 30 40 ;8o 3 3° 45 35 26 34 07 32 48 31 29 30 10 28 52 27 33 26 14 24 56 40 50 37 55 36 38 35 20 34 03 32 46 31 28 30 11 28 53 27 35 26 17 24 59 50 5 00 37 42 36 26 35 11 33 56 32 39 31 24 30 07 28 50 27 34 26 17 25 01 5 00 10 37 27 36 14 35 00 33 45 32 31 31 15 30 01 28 45 27 30 26 14 24 59 10 20 37 10 35 58 34 45 33 32 32 20 31 06 29 52 28 38 27 24 26 09 24 55 20 30 36 48 35 38 34 28 33 1° 3 2 04 30 53 . 29 41 2S 27 27 14 26 01 24 48 30 40 36 25 35 16 34 07 32 57 31 47 30 3° 29 26 28 15 27 03 25 50 24 38 40 50 35 59 34 52 33 44 32 36 31 27 30 18 29 09 27 59 26 49 25 38 24 28 50 6 00 35 30 34 25 33 18 32 12 31 05 2958 28 50 27 4i 26 32 25 22 24 14 6 00 10 34 59 33 55 32 51 31 46 30 40 29 34 28 28 27 21 26 13 . 25 05 23 58 10 20 34 26 33 24 32 21 31 18 30 13 29 09 28 04 2658 25 52 24 46 23 40 20 30 33 51 32 50 31 49 30 47 29 44 28 41 27 38 26 34 25 29 24 25 23 20 30 40 33 13 32 14 31 14 30 14 29 12 28 11 27 09 26 07 25 04 24 01 22 57 40 50 32 34 3i 37 30 38 29 39 28 40 27 40 26 40 25 39 24 38 23 36 22 34 50 7 00 31 52 30 56 29 59 29 03 28 05 27 07 26 08 25 09 24 08 23 08 22 08 7 00 10 31 09 30 14 29 18 28 23 27 27 26 30 25 33 24 36 23 38 22 39 21 41 10 20 30 24 29 3° 28 37 ' 27 42 26 48 25 53 24 58 24 02 23 06 22 09 21 12 20 30 29 36 28 44 27 53 27 01 26 07 25 14 24 20 23 27 22 32 21 36 20 41 30 40 28 47 27 57 27 07 26 16 25 25 24 33 23 41 22 49 21 56 21 02 20 09 40 50 27 56 27 08 26 20 25 31 24 41 23 51 23 00 22 10 21 19 20 26 19 35 50 8 00 27 04 26 17 25 30 24 43 23 55 23 08 23 07 22 19 21 30 20 40 19 50 18 59 8 00 10 26 09 25 24 24 40 23 54 22 21 21 34 20 48 20 00 19 12 18 23 IO 20 25 14 24 31 23 47 23 03 22 19 21 34 20 49 20 04 19 18 18 31 17 45 20 30 24 16 23 35 22 53 22 11 21 28 20 46 20 02 19 19 18 35 17 51 17 06 30 40 23 17 22 38 21 58 21 18 20 37 19 56. 19 15 18 33 17 50 J7 08 16 25 40 50 22 16 21 39 21 01 20 23 19 44 19 04 18 25 17 45 17 05 16 24 15 43 50 00 21 16 20 40 20 03 19 27 18 49 lS 11 17 34 1656 16 18 15 39 15 °° :> 00 IO 20 13 19 39 19 03 18 28 17 53 17 IS 16 43 16 06 15 30 14 53 14 16 10 20 19 O9 1836 18 03 17 31 16 57 16 24 15 49 15 16 14 42 14 07 13 31 20 30 IS 03 17 32 17 02 16 31 15 59 15 27 14 55 14 23 13 51 13 18 12 45 30 40 16 56 16 27 15 59 15 29 15 00 14 31 14 01 13 30 13 00 12 29 II 59 40 50 15 48 15 22 14 55 14 28 14 00 13 32 13 05 12 37 12 08 11 39 11 II 50 10 00 14 40 14 15 13 50 13 25 12 59 12 34 12 oS II 42 11 15 10 49 10 23 10 00 10 13 30 13 07 12 44 12 20 11 57 11 34 11 10 10 46 10 22 9 57 9 33 IO 20 12 20 " 59 11 37 11 17 10 55 10 34 10 11 9 50 9 28 9 06 8 43 ' 20 30 II 08 10 49 10 30 10 11 9 51 9 32 9 12 8 53 8 33 8 13 7 53 30 40 9 56 9 39 9 21 9 °4 8 47 8 30 8 13 7 55 7 37 7 20 7 01 40 50 8 43 8 28 8 13 7 58 7 43 7 28 7 13 6 57 6 41 6 26 6 10 50 11 00 7 29 716 7 04 6 50 6 38 6 25 6 11 5 58 5 45 5 31 5 18 11 00 10 6 15 6 04 5 54 5 43 5 32 5 2 l 5 10 4 59 4 49 4 3° 4 25 10 20 5 01 4 52 4 54 4 35 4 26 4 18 4 08 4 00 3 51 3 42 3 33 20 30 3 46 3 39 3 33 3 26 3 20 3 13 3 06 3 00 2 53 2 47 2 40 30 40 2 30 2 26 2 23 2 18 2 14 2 09 2 04 2 OT 1 56 1 51 1 47 40 50 1 16 I 13 1 11 1 09 1 07 I 04 I 02 I 00 58 56 54 50 12 00 00 00 00 00 00 O 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latltnde, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 153 AZIMUTH OR TRUE BEARING. LATITUDE 37°. DECUNATION- ■SAME NAME AS— LATITUDE. LATITUDE 37°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. b. in. ■ o / / / / / r / . / / / ' / h. 111. 00 l8o'oo 180 00 180 00 180 00 180 00 180 00 180 00 180,00 180 00 180 00 180 00 180 00 00 10 169 56 169 12 168 22 167 21 166 08 164 37 162 43 160 14 143 5° 156 53 152 10 145 06 133 56 lO 20 160 20 159 00 157 27 155 39 153 30 150 56 147 48 139 °4 132 52 124 55 114 50 20 30 40 50 30 , 151 34 149 44 147 47 145 29 142 49 139 43 13° °5 131 49 126 47 120 52 "3 57 106 01 40 H3 46 141 44 139 28 13° 55 134 °3 12658 13° 49 127 09 123 00 118 20 "3 05 107 16 100 54 50 136 59 134 49 132 28 129 51 123 48 120 18 116 26 112 15 107 39 102 44 97 28 1 00 131 06 128 54 126 33 123 59 121 12 118 10 «4 55 in 24 107 38 l°3 37 99 21 94 52 1 OO 10 20 30 10 1^5 59 123 50 121 31 119 03 116 24 "3 35 no 34 107 22 104 00 100 27 96 41 92 49 20 "I 33 119 27 117 14 114 52 112 23 i°9 45 106 59 104 04 101 01 97 48 94 29 91 °4 VO "7 39 115 37 113 3° in 17 108 57 106 29 i°3 55 101 15 9828 95 34 92 35 ^ 3I 40 114 11 112 15 no 15 108 08 105 57 ^03 40 101 17 98 49 96 16 93 38 9° 55 88 07 40 50 50 in 06 109 16 107 21 105 22 103 18 101 09 98 57 96 40 94 18 91 53 89 24 86 51 2 OO 108 17 106 34 104 45 102 52 100 54 98 56 9° 51 94 43 92 32 90 17 fZ 59 85 39 2 00 lO 10 105 48 104 07 102 23 100 36 98 46 9° 53 94 57 92 57 9° 55 88 49 86 41 8431 20 103 28 101 53 100 13 98 32 9° 47 95 °i 93 11 91 18 89 24 87 27 85 26 83 25 20 30 101 20 99 47 98 13 9° 37 94 58 93 1° 91 32 89 46 87 58 86 07 84 16 82 21 30 40 40 99 19 97 51 96 21 94 48 93 14 91 38 89 59 88 19 86 36 84 52 83 t>7 81 19 50 97 26 96 02 94 35 93 07 91 37 90 05 88 32 86 56 85 19 83 40 82 00 80 18 SO 3 00 95 39 93 58 94 18 92 55 91 3° 90 04 88 36 8707 85 3° 84 04 82 30 80 54 7 % : f 78 18 3 OO 10 92 39 91 20 8958 88 36 87 11 85 46 84 19 82 52 81 22 70 5 i lO 20 92 20 91 04 89 48 88 30 87 11 85 5° 84 27 83°5 81 41 80 14 7848 77 19 20 30 90 47 89 33 88 19 87 04 85 48 84 30 83 12 81 52 80 31 79 08 77 45 76 20 30 40 89 16 88 06 86 54 85 41 84 28 83 13 81 57 So 40 79 21 78 03 76 42 75 21 40 50 87 49 86 40 85 3i 84.21 83 °9 81 5° 80 43 79 29 78 14 7° 57 75 40 74 22 50 4 00 86 23 85 17 84 Q9 83 02 81 52 80 42 79 32 78 19 77 °7 75 53 74 39 73 23 4 00 10 85 °o 83 55 82 50 81 43 80 36 79 28 78 20 77 1° 76 00 74 49 73 37 72 24 10 20 83 37 82 35 81 31 80 27 79 21 78 15 77 °9 76 02 74 54 73 45 72 34 71 24 20 30 40 50 30 82 17 81 15 80 13 79 11 78 08 77 °3 75 58 74 53 73 47 72 4° 71 32 70 24 40 80 57 79 57 7856 77 55 7° 54 75 5i 74 48 73 44 72 4° 71 35 70 30 69 24 50 79 38 78 40 77 40 7641 75 4° 74 39 73 38 72 36 7i 34 70 31 69 27 68 22 5 00 78 19 77 22 76 24 75 26 74 27 73 27 72 27 71 27 70 26 69 25 68 23 67 20 5 00 10 77 °° 76 04 75 °7 74 11 73 14 • 72 15 7i 17 70 18 69 18 68 18 67 18 66 16 10 20 75 42 74 47 73 52 72 56 72 00 7i °3 70 06 69 08 68 11 67 II 66 13 65 13 20 30 74 23 73 29 72 35 71 40 70 45 69 50 68 54 67' 58 67 01 66 04 65 06 64 09 30 40 73 05 72 12 71 19 7° 25 69 31 68 36 67 42 66 46 °5 51 64 55 °3 59 63 02 40 50 7i 45 70 54 70 01 69 09 68 16 67 22 66 28 °5 34 64 41 63 46 62 50 61 55 50 6 00 70 25 69 34 6843 67 51 67 00 66 07 65 15 64 22 63 29 62 35 61 41 60 47 6 OO lO 69 05 68 14 67 24 66.34 65 42 64 51 63 59 63 07 62 16 61 23 60 31 59 38 lO 20 67 44 66 56 66 05 65 15 64 25 63 35 62 44 61 53 61 03 60 10 59 19 58 27 20 30 ■ . 66 21 65 32 64 44 63 55 63 06 62 16 61 26 60 36 59 46 5856 58 06 57.15 30 40 6458 64 09 63 21 62 33 61 45 60 57 60 08 59 19 58 3° 57 41 56 51 56 01 40 50 °3 32 62 45 61 58 61 II 60 23 59 35 58 48 58 00 57 12 56 23 55 35 54 47 50 7 00 62 06 61 20 60 34 59 47 59 00 58 13 57 26 5° 39 ' 55 53 55 °4 54 17 53 3° 7 00 lO 60 38 59 52 59 07 58 21 57 35 5648 56 °3 55 17 54 3° 53 44 52 58 52 10 10 20 59 °8 58 24 57 39 56 53 56 °9 55 23 54 38 53 53 53 °7 52 22 51 36 50 51 20 30 30 57 37 56 52 56 09 55 25 54 40 53 56 53 n 52 27 51 43 5° 58 5° 14 49 29 40 56 03 55 21 54 37 53 53 53 09 52 26 51 43 5° 59 50 16 49 32 48 48 48 05 40 50 50 54 29 53 46 53 02 52 20 51 38 5° 54 5° 13 49 3° 48 47 48 05 47 22 46 40 8 OO 52 5° 52 08 51 26 50 44 50 02 49 21 48 39 47 57 47 1° 46 34 45 53 45 12 8 00 10 51 10 50 29 49 48 49 °7 48 26 47 45 47 05 46 24 45 44 45 °2 44 23 43 42 10 20 49 27 48 47 48 07 47 27 46 47 46 07 45 27 44 48 44 09 43 28 42 5° 42 n 20 30 30 47 4i 47 °2 46 23 45 44 45 °° 44 26 43 48 43 09 42 31 41 52 41 15 4° 37 40 45 53 45 15 44 37 43 59 43 21 42 43 42 06 41 28 40 52 40 14 39 37 39 °° 40 50 44 03 43 25 42 48 42 n 41 35 4058 40 22 39 45 39 °9 38 33 37 58 37 22 50 9 OO 42 09 41 32 40 56 40 20 39 45 39 °9 38 34 37 59 37 24 36 5° 36 15 35 4i 9 OO 10 40 13 39 37 39 °2 38 27 37 53 37 18 36 45 36 n 35 38 35 °4 34 31 33 58 10 20 38 12 37 38 37 05 36 32 35 58 35 25 34 53 34 20 33 48 33 16 32 44 32 13 20 30 36 09 35 37 35 °4 34 33 34 01 33 29 32 58 32 27 31 57 31 26 3° 5° 30 25 30 40 34 °3 33 32 33 "I 32 30 32 01 31 3° 31 °° 30 31 30 02 29 33 29 04 28 35 40 50 31 54 31 24 30 55 30 26 29 58 29 29 29 01 28 33 28 06 27 38 27 II 26 44 50 lO 00 29 42 29 14 28 47 28 19 27 52 27 25 26 59 26 32 26 07 25 41 25 16 24 5° 10 00 10 27 26 27 00 26 34 26 08 25 43 25 18 24 54 24 29 24 06 23 42 23 18 22 54 10 20 25 08 24 44 24 20 23 56 23 33 23 09 22 47 22 24 22 02 21 40 21 19 20 56 20 30 22 46 22 24 22 02 21 40 21 20 20 58 20 37 20 16 19 5° 19 36 19 16 18 57 30 40 20 23 20 02 19 42 19 22 19 °3 18 44 18 25 18 07 17 49 17 31 1712 16 55 40 50 17 56 17 38 17 20 17 02 16 45 16 29 16 12 15 55 15 39 15 24 15 °7 14 51 50 11 00 15 26 15 " 14 5° 14 41 14 26 14 II 13 56 13 43 13 29 13 14 13 00 12 47 11 00 lO 12 55 12 43 12 29 12 17 12 04 II 52 n 40 II 28 n 16 II 04 i°,53 10 41 10 20 10 23 10 12 10 02 9 5i 9 41 9 31 9 22 9 12 9 02 8 53 844 8 35 20 30 7 49 7 40 7 32 7 24 7 18 7 10 7 °3 °55 6 48 6 41 6 33 6 27 30 40 5 13 5 °7 5 °2 4 57 4 52 4 46 4 42 4 37 4 32 4 27 4 23 4 18 40- 50 2 37 2 34 2 31 2 29 2 26 2 23 2 22 2 19 2 16 2 14 2 n 2 10 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 154 AZIMUTH OR TRUE BEARING. LATITUDE 37°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 37°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. in. o / / / / / 1 1 / / / / / b. 111. O 00 180 oo 00 00 00 00 00 00 00 00 00 00 00 io "5 42 89 15 62 29 43 48 32 20 25 08 20 18 16 55 14 23 12 28 10 56 9 42 10 20 102 29 8830 74 21 61.34 51 °° 42 38 36 06 3°58 26 54 23 38 2058 18 44 20 30 97 10 87 44 78 II 69 01 60 38 53 13 46 50 41 24 36 47 32 52 29 32 26 41 30 40 94 05 8659 79 47 72 43 65 58 59 4i 53 57 48 48 44 12 40 08 36 33 33 22 40 50 91 56 86 14 80 27 74 43 69 07 °3 45 58 43 54 °i 49 4° 45 43 42 07 38 51 50 1 00 90 14 88 48 85 28 80 38 75 49 71 °4 66 26 61 59 57 43 53 43 49 59 46 30 43 15 1 00 10 84 42 80 34 76 24 72 16 68 12 64 14 60 24 56 44 53 14 49 56 46 48 10 20 87 33 83 57 80 18 7638 72 59 69 23 65 49 62 20 58 58 55 43 52 36 49 37 20 30 86 22 83 10 79 5° 76 40 73 23 70 09 66 55 63 45 60 39 57 38 54 42 51 52 30 40 85 17 82 24 79 29 76 32 73 33 7° 36 67 40 64 46 61 54 59 °4 56 20 53 39 40 50 84 15 81 37 7858 76 16 73 33 70 50 68 08 65 27 62 47 60 10 57 36 55 04 50 2 00 83 16 80 50 78 23 75 55 73 25 7° 54 68 24 °5 55 63 26 60 58 58 33 56 10 2 00 10 82 18 80 03 77 46 75 29 73 1° 70 50 68 30 66 11 63 52 61 33 59 16 57 °° 10 20 81 21 79 15 77 08 75 °° 72 51 70 40 68 29 66 18 64 08 61 57 59 48 57 39 20 30 80 25 78 27 76 29 74 28 72 26 70 24 68 21 66 17 64 15 62 11 60 08 58 05 30 40 79 29 77 39 75 46 73 53 7i 59 70 03 68 07 66 11 64 15 62 17 60 21 58 25 40 50 78 35 76 50 75 04 73 16 71 28 69 39 67 5° 65 59 64 08 62 17 60 26 58 35 50 3 OO 77 40 76 00 74 20 72 38 7° 55 69 12 67 28 65 42 63 57 62 11 60 24 5838 3 00 10 76 45 75 10 73 34 7i 57 70 20 68 41 67 02 65 22 63 41 62 00 60 19 58 37 10 20 75 50 74 19 72 48 71 16 69 43 68 08 6633 64 57 63 21 61 44 60 07 58 29 20 30 74 55 73 28 72 00 70 32 69 03 67 33 66 02 64 30 6258 61 25 59 51 58 17 ■ 30 40 74 00 72 36 71 12 69 48 68 21 6655 65 28 63 59 62 31 61 02 59 32 58 01 40 50 73 °3 7i 43 70 23 69 01 67 39 66 15 64 52 63 27 62 01 60 36 59 i° 57 42 50 4 00 72 08 70 50 69 33 68 14 66 55 65 34 64 13 62 52 61 30 60 07 58 43 57 19 4 00 10 71 10 69 56 68 42 67 26 66 09 64 51 63 33 62 15 60 55 59 35 58 14 56 53 IO 20 70 14 69 01 67 49 66 36 65 22 64 06 62 51 61 35 60 18 59 01 58 24 57 43 . 56 24 20 30 69 15 68 06 66 55 65 44 64 33 63 20 62 07 60 54 59 39 57 °8 55 53 30 40 68 16 67 09 66 01 64 52 63 43 62 32 6l 21 60 10 5858 57 46 56 33 55 19 40 50 67 17 66 11 65 05 6358 62 51 °l 43 60 34 59 25 58 15 57 °4 .55 53 54 42 50 5 00 66 17 °5 13 64 09 63 04 61 58 60 51 59 45 58 54 5838 57 3° 56 21 55 13 54 °3 5 00 10 65 16 64 13 63 11 62 07 61 04 59 59 5 J 4 2 5658 5« 43 55 36 54 29 53 21 10 20 64 12 63 12 62 12 61 10 60 08 59 °5 58 09 58 02 55 54 54 5° '53 44 52 39 20 30 63 10 62 10 61 11 6d II 59 11 57 °8 56 06 55 °4 54 °i 52 57 51 53 30 40 62 05 61 07 60 10' 59 11 58 13 57 13 56 12 '55 12 54 11 53 °9 52 08 51 051 40 50 61 00 60 03 59 °7 58 10 57 12 56 14 55 16 54 17 53 17 52 18 51 17 5° 17 50 6 00 59 52 58 44 ■ 58 57 58 02 57 07 56 11 55 14 54 17 53 2° 52 22 .51 23 5° 24 49 26 6 00 10 57 5i 56 57 56 02 55 °7 54 11 53 16 52 21 51 24 50 27 49 3° 4832 10 20 30 57 35 56 42 55 49 54 56 54 °3 53 °9 52 15 51 20 5° 25 •49 3° 48 34 47 38 20 56 24 55 32 54 41 53 49 52 57 52 04 5i 11 5° 17 49 24 48 3° 47 36 46 41 30 40 50 55 " 54 21 53 30 52 4° 51 49 5°58 50 06 40 : 3 48 22 47 29 46 36 45 42 40 53 57 53 08 52 19 51 29 50 40 49 49 48 59 48 08 47 17 46 25 45 34 44 41 50 7 00 52 42 51 54 51 °6 50 17 49 29 48 39 47 5° 47 °° 46 10 45 21 44 3° 43 39 7 OO 10 20 30 40 51 24 5° 37 49 50 49 °3 48 16 47 27 46 40 45 51 45 °3 44 14 43 °6 43 25 42 35 IO 50 05 49 19 4» 34 47 47 47 °° 46 14 45 27 44 4° 43 53 42 17 41 29 20 48 44 48 00 47 15 46 29 45 44 44 59 44 13 43 27 42 42 41 55 41 09 40 22 30 47 22 46 38 45 54 45 10 44 27 43 42 42 57 42 12 41 28 4° 43 39 58 39 13 40 50 45 57 45 14 44 32 43 49 43 °6 42 22 4i 4° 4° 57 40 14 39 29 38 4° 38 02 50 8 00 44 30 43 48 43 07 42 25 41 44 41 02 40 20 39 38 3856 36 56 37 31 36 49 8 OO 10 43 01 42 21 41 41 41 00 40 20 39 39 3858 38 20 37 38 36 15 35 33 10 20 41 31 40 52 40 12 39 33 38 04 38 54 38 15 37 35 3° 56 36 16 35 37 34 57 34 17 20 30 39 58 39 20 39 20 37 26 3648 36 10 35 31 34 54 34 15 33 37 32 58 30 40 50 38 23 37 46 37 09 36 32 35 56 35 19 34 42 34 °6 33 29 32 52 32 15 31 38 40 36 46 36 10 35 35 34 59 34 24 33 49 33 14 32 38 32 03 31 27 3° 52 30 17 50 9 OO 10 ■ 35 06 34 32 33 58 33 24 32 5° 32 16 31 43 31 09 3° 35 30 00 29 27 28 52 9 00 33 25 32 52 32 19 31 46" 31 14 30 42 30 09 29 37 29 05 28 32 28 00 27 27 10 20 31 42 31 10 30 39 30 07 29 37 29 06 28 35 28 04 27 34 27 02 26 31 26 00 20 30 2956 29 25 28 56 28 26 27 57 27 28 26 58 26 28 25 59 25 3° 25 01 24 32 30 40 28 08 27 39 27 11 26 43 26 15 25 47 25 20 24 52 24 24 23 57 23 3° 23 02 40 50 26 17 25 50 25 24 24 58 24 31 24 °5 23 39 23 H 22 48 22 21 21 56 21 3° 50 10 OO 24 25 24 00 23*36 23 11 22 46 22 22. 21 58 21 33 21 09 . 20 45 20 22 19 57 10 00 10 22 31 22 07 21 45 21 21 20 59 20 36 20 13 19 52 19 29 19 06 18 45 18 22 10 20 20 35 20 13 19 53 19 31 19 11 18 50 18 29 18 o8 17 48 17 28 17 07 16 47 20 30 18 36 18 17 "7 59 17 39 17 20 17 01 16 42 16 23 16 05 15 47 15 28 15 1° 30 . 40 50 16 38 16 20 16 02 15 45 15 29 15 " 14 55 14 37 14 21 14 °4 13 48 13 31 40 14 36 14 21 14 05 13 5° 13 35 13 20 13 05 12 51 12 37 12 21 12 07 11 52 50 11 OO 12 34 12 20 12 07 " 54 II 41 11 29 II 15 11 02 10 50 10 37 10 25 10 12 11 00 10 10 30 10 19 10 08 9 57 9 46 9 35 9 25 9 13 9 °3 8 52 8 42 8 32 10 20 ? 25 8 16 8 08 7 58 7 5° 7 41 7 33 7 24 7 16 7 °7 6 58 6 50 20 30 6 20 6 13 6 06 6 00 5 53 5 46 5 40 5 34 5 27 5 20 5 14 5 °8 30 40 50 4 14 4 09 4 04 4 00 3 56 3 5i 3 46 3 43 3 38 3 34 3 30- 3 25 40 2 07 2 05 2 02 2 00 1 57 1 5° 1 54 1 51 1 49 1 47 I 45 1 43 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 155 AZIMUTH OR TRUE BEARING. , LATITUDE 37°. DECLINATION— SAME NAME AS— LATITUDE. latitude; 37°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. It. 111. o / / / / / t / / / / / / li. m. 00 O 00 00 00 00 00 do 00 00 00 00 00 00 O 00 10 S 41 7 50 7 06 6 27 5 55. 526 5 01 4 37 4 17 3 58 3 42 3 26 IO 20 16 52 15 10 13 54 12 42 11 39 10 43 9 54 9 °9 8 29 7 53 7 20 6 48 20 30 24 12 22 04 20 11 18 31' 17 03 15 44 14 34 13 3° 12 31 11 39 10 50 10 07 30 40 3° 3* 28 03 25 49 23 '49 22 01 20 24 1855 17 35 16 22 x 5 I5 18 37 14 13 13 16 40 50 35 52 33 10 30 44 28 30 26 28 2438 22 56 21 22 19 57 17 24 16 17 50 1 00 40 15 37 29 34 5° 38 31 32 35 3° 25 28 24 26 34 24 5° 23 14 •21 45 20 23 19 °5 1 00 10 43 5i 41 05 36 07 33 5i 31 46 29 48 27 57 26 14 24 38 23 °8 21 43 IO 20 46 47 44 04 41 31 39 °7- 36 5° 34 4° 32 39 3° 45 28 57 27 14 29 3° 25 38 24 14 20 30 30 49 °9 46 32 44 °2 41 39 43 48 39 23 37 13 35 1° 33 13 31 22 27 56 26 20 40 51 04 48 33 46 08 41 33 39 24 37 21 35 23 33 3° 31 42 29 59 28 20 40 50 52 35 50 11 47 5i 45 35 43 23 41 18 39 15 37 17 35 23 33 34 31 49 30 08 50 2 OO 53 48 5i 31 49 16 47 °5 44 57 42 52 40 52 38 55 37 °2 35 13 33 27 31 45 2 00 10 54 47 52 35 5° 25 48 18 46 15 44 13 42 15 40 20 38 28 3 6 39 34 53 33 11 10 20 55 30 53 25 51 21 49 18 47 18 45 20 43 25 4i 32 39 42 37 54 36 09 34 26 20 SO 56 04 54 °4 52 05 50 07 48 10 46 17 44 24 42 34 40 45 38 59 37 15 35 33 30 40 56 28 54 33 52 39 50 45 48 52 47 °2 45 12 43 25 41 39 39 54 38 12 36 3° 40 50 56 44 54 53 53 °3 51 15 49 26 47 38 45 S 2 44 °7 42 23 4° 41 39 00 37 21 50 8 OO 56 52 55 07 53 21 5i 35 49 5i 48 07 46 23 44 41 42 59 41 19 39 41 38 03 3 OO 10 56 54 55 12 53 31 51 5° 50 08 48 27 46 48 45 08 43 29 41 5i 40 14 38 37 10 20 56 51 55 14 53 36 5i 58 5° 19 48 42 47 °5 45 28 43 5i 42 16 40 41 39 °6 20 30 56 44 55 <=9 53 34 52 00 5° 25 48 51 47 16 45 42 44 08 42 35 41 °3 39 29 30 40 56 31 55 00 53 29 51 58 50 26 48 54 47 22 45 51 44 19 42 48 41 18 39 46 40 50 56 15 54 47 53 18 5i 50 50 21 48 52 47 24 45 54 44 25 42 56 41 27 39 58 50 4 00 55 54 54 30 53 °4 51 39 5° 13 48 46 47 20 45 54 44 27 43 °° 41 33 40 06 4 OO 10 55 3i 54 09 52 47 Si 23 50 00 48 3° 47 12 45 48 44 24 42 59 41 34 40 09 10 20 55 05 53 45 52 25 51 °5 49 43 48 22 47 0° 45 38 44 17 42 54 41 31 40 08 20 30 54 35 53 19 52 01 50 42 49 24 48 05 46 45 45 26 44 06 42 45 41 24 40 03 SO 40 54 04' 52 49 51 33 5° 18 49 °3 47 44 46 27 45 °9 43 5i 42 33 41 14 39 54 40 50 53 3° 52 16 51 °3 49 49 48 35 47 20 46 05 44 5° 43 33 42 17 41 00 39 43 50 5 OO 52 52 51 42 50 3° 49 19 48 06 46 54 45 4i 44 27 43 13 ' 41 59 40 43 39 28 5 OO io 52 13 51 °4 49 55 48 46 47 35 46 24 45 13 44 °i 42 49 41 36 40 23 39 °9 IO 20 51 32 50 25 49 18 48 10 47 °l 45 52 44 43 43 33 42 22 41 12 40 01 3848 20 30 50 48 49 44 4838 47 32 46 25 45 18 44 11 43 °2 41 54 4° 45 39 34 38 24 30 40 50 03 48 59 47 55 46 51 45 4° 44 4i 43 35 42 28 41 21 40 14 39 °6 37 58 40 50 49 15 48 13 47 11 46 09 45 °6 44 °2 42 58 41 53 40 47 39 42 383° 37 29 50 6 OO 48 26 47 25 46 25 45 24 44 22 43 20 42 18 4i 15 40 11 39 °7 38 02 36 57 6 OO 10 47 34 46 36 45 36 44 37 43 37 42 37 41 35 4° 34 39 32- 38 3° 37 27 36 23 10 20 46 41 45 43 44 47 43 49 42 5° 41 51 40 52 39 51 % 5 l 37 51 36 5° 35 47 20 30 45 46 44 50 43 54 42 58 42 01 41 °3 40 05 39 °7 38 08 37 1° 36 10 35 1° 30 40 44 49 43 54 42 59 42 05 41 °9 4° 13 3 8 I7 > 38 20 37 23 36 26 35 28 34 29 40 50 43 5° 42 56 42 °4 41 10 40 16 39 22 38 28 37 31 363° 35 41 34 44 33 47 50 7 OO 42 48 41 57 41 °5 40 14 39 21 38 29 37 36 35 41 35 47 34 54 33 58 33 °2 7 00 10 41 45 40 56 40 05 39 15 3° 15 3» 24 37 33 36 4,1 35 49 34 56 34 °4 33 11 32 16 10 20 40 41 39 53 38 48 39 °4 37 25 3° 35' 35 45 34 54 34 °3 33 12 32 21 31 29 20 30 39 35 38 01 37 13 36 25 35 3° 34 48 33 59 33 °9 32 20 31 30 3° 39 SO 40 38 27 37 41 36 55 36 09 35 22 34 36 33 49 33 °° 32 13 31 25 3° 36 29 47 40 SO 37 17 36 33 35 48 35 °4 34 19 33 33 32 47 32 01 31 15 30 29 29 41 28 54 50 8 OO 36 05 35 22 34 39 33 56 33 12 32 28 31 45 31 °° 3° 15 29 30 2845 27 58 8 OO IO 34 52 34 11 33 29 32 47 32 05 31 22 30 40 29 57 29 14 28 31 27 47 27 02 IO 20 33 37 32 57 . 32 16 31 37 3° 55 3° 15 29 34 28 52 28 10 27 29 26 47 26 04 20 30 32 20 31 41 31 03 3° 23 29 45 29 °5 28 26 27 46 27 06 26 27 25 45 25* °5 30 40 31 02 30 24 29 47 29 10 28 32 27 54 27 16 26 38 26 00 25 22 24 43 24 04 40 50 29 41 29 05 28 29 27 54 27 18 26 42 26 06 25 28 24 52 24 15 23 39 23 01 50 9 00 28 19 27 45 27 10 26 36 26 02 25 27 24 52 24 17 23 43 23 08 22 33 21 57 9 OO 10 26 55 26 22 25 5° 25 18 24 45 24 II 23 3,9 23 06 22 32 22 00 21 26 20 51 IO 20 25 29 2458 24 28 23 57 23 26 22 55 22 24 21 52 21 21 20 49 20 18 19 45 20 30 24 02 23 33 23 °4 22 36 22 06 21 37 21 07 20 37 20 07 1938 18 25 19 08 1837 30 40 22 34 22 06 21 39 21 12 20 44 20 16 19 49 19 20 18 53 17 5° 17 28 40 50 21 04 20 39 20 13 19 47 19 21 18 55 18 29 18 03 17 37 17 11 l°45 16 18 50 10 OO 19 33 19 09 18 45 18 21 17 58 17 33 17 °9 16 45 16 20 15 57 15 32 15 °7 10 00 10 18 00 17 38 17 16 16 53 16 31 16 10 15 48 15 25 15 °3 14 4° 14 17 13 55 IO 20 16 26 16 06 15 46 15 26 15 06 14 45 14 24 14 °5 13 43 13 24 13 °3 12 42 20 30 14 51 14 33 14 14 13 56 13 38 13 19 13 °l 12 42 12 24 12 06 11 48 11 28 30 40 13 15 12 5» 12 42 12 25 12 09 11 53 11 36 11 20 11 04 10 47 10 31 ID 14 40 50 11 38 II 23 11 09 1° 54 10 40 10 26 10 11 9 57 9 42 9 28 9 13 8 58 50 11 OO 10 00 9 47 9 35 9 22 9 10 8 58 8 46 8 33 8 21 8 08 7 56 7 43 11 OO IO 8 21 8 10 8 00 7 5° 7 39 7 29 7 19 7 08 6 58 6 47 6 37 6 27 IO 20 6 42 6 33 625 6 17 6 08 6 00 5 52 5 43 5 35 5 26 5 18 5 1° 20 30 5 02 4 56 4 49 4 43 4 37 4 31 4 24 4 17 4 11 4 06 3 59 3 53 30 40 3 21 3 17 3 12 3 °8 3 04 3 °o 2 56 2 52 2 48 2 44 2 40 235 40 50 I 40 1 38 I 36 1 34 1 32 1 3° 1 28 1 26 1 24 1 22 1 20 1 18 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing, 156 AZIMUTH OR TRUE BEARING. IiAXIXlTUE 37°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 37°. Hour Angle. 60° 61° 62° 63° 64° 66° 66° 67° 68° 69° 70° Hour Angle. li. ill. o ' / ' / ' / / ' / / / b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 10 i I2 6 20 2 58 2 47 2 35 2 24 2 15 2 05 1 57 1 49 1 42 1 34 10 20 5 55 5 31 5 °9 4 48 4 29 4 'ii 3 54 3 38 3 22 3 °8 20 30 9 2 5 8 47 8 12 7 39 7 08 6 41 613 5 48 5 24 5 02 4 40 30 40 12 23 U 34 10 49 10 06 9 27 8 48 813 7 40 7 09 6 40 6 11 40 50 15 13 14 14 13 20 12 28 " 39 10 53 10 10 9 3° 851 8 15 7 4° 50 1 00 17 53 16 45 15 42 14 42 13 46 12 53 12 03 11 15 10 30 9 47 9 07 1 OO 10 20 23 19 14 17 57 16 51 15 47 14 47 .13 5° 12 57 12 06 11 18 10 31 10 20 22 41 21 20 20 04 18 50 17 42 16 36 15 33 14 34 13 37 12 44 11 51 20 30 24 49 23 23 22 02 20 44 19 29 18 19 17 12 16 06 15 °5 14 06 13 09 30 40 26 46 25.16 23 50 22 28 21 09 19 54 18 42 17 33 16 27 15 24 14 23 • 40 50 28 31 26 59 25 30 24 °5 22 42 21 24 20 08 18 55 17 45 16 38 15 32 50 2 00 30 06 28 32 27 01 25 33 24 08 22 46 21 27 20 11 1857 17 47 16 38 2 00 10 3' 31 29 55 28 23 26 52 25 26 24 02 22 41 21 21 20 05 1852 17 40 IO 20 32 47 31 II 29 37 28 06 26 37 25 11 23 47 22 27 21 08 19 52 18 38 20 30 33 54 32 17 3° 43 29 II 27 41 20 14 24 49 23 26 22 06 20 48 19 32 30 40 34 52 33 16 31 41 30 10 28 39 27 II 25 44 24 21 22 59 21 40 20 21 40 50 35 43 34 t>7 32 33 31 °i 29 3° 28 02 26 35 25 1° 23 47 22 26 21 06 50 3 00 36 26 34 52 33 18 31 46 3° 15 28 47 27 19 25 54 24 30 23 09 21 48 3 OO 10 37 03 35 29 33 57. 32 25 3° 55 29 27 27 59 26 33 25 09 23 47 22 25 IO 20 37 33 36 01 34 29 32 59 31 29 30 01 28 34 27 P8 25 44 24 20 22 59 20 30 37 58. 36 26 34 5° 33 27 31 59 30 31 29 °4 . 27 38 26 13 24 5° 23 28 30 40 38 16 36 47 35 18 33 49 32 22 3° 55 29 29 28 04 26 40 25 17 23 54 40 50 38 31 37 02 35 35 34 °8 32 41 31 16 29 5° 28 25 27 01 25 39 24 16 50 4 00 38 39 37 13 35 47 34 22 32 56 31 31 30 07 28 43 27 20 25 58 24 35 4 00 10 38 45 37 19 35 5« 34 31 33 07 31 44 30 20 28 57 27 34 26 13 24 51 10 20 38 45 37 22 36 00 34 37 33 14 31 52 30 29 29 07 27 45 26 24 25 02 20 30 38 42 37 21 36 00 34 38 33 17 31 56 3° 34 29 13 27 53 26 33 25 11 30 40 38 3S 37 16 35 57 34 37 33 16 31 57 3° 36 29 17 27 57 26 38 25 18 40 50 38 25 37 07 35 49 34 31 33 12 31 55 3° 3fi 29 17 27 58 26 40 25 21 50 5 OO 38 11 36 55 35 39 34 23 33 06 31 48 3° 31 29 14 27 56 26 39 25 21 5 OO 10 37 55 36 4i 35 27 34 12 32 56 31 40 30 24 29 08 27 51 26 36 25 19 IO 20 37 36 36 23 35 10 33 57 32 42 31 29 3° 14 28 59 27 45 26 30 25 14 20 30 37 14 3° °3 34 52 33 40 32 27 31 15 30 02 28 48 27 34 26 21 25 06 30 40 3648 35 39 34 3° 33 19 32 08 3°58 29 46 28 34 27 22 26 10 24 57 40 50 36 22 35 14 34 06 32 57 31 48 3° 38 29 28 28 18 27 07 25 56 24 44 50 6 00 35 5i 34 46 33 39 32 32 31 25 30 16 29 08 27 59 26 50 25 41 24 3° 6 OO 10 35 19 34 15 33 1° - 32 05 3° 59 29 53 28 46 27 39 26 30 25 22 24 13 IO 20 34 45 33 42 32 4° 31 35 3° 31 29 27 28 21 27 15 26 09 25 02 23 55 20 30 34 °9 33 08 32 06 31 °3 30 00 2858 27 54 26 50 25 45 24 4° 23 34 30 40 33 30 32 30 31 31 30 3° 29 29 28 27 27 25 26 22 25 19 24 16 23 II 40 50 32 49 31 52 3<> 53 29 54 28 54 27 55 26 54 25 53 24 51 23 50 22 47 50 7 OO 32 07 31 II 3° 14 29 16 28 18 27 20 26 22 25 22 24 22 23 22 22 21 7 00 10 31 22 30 27 29 32 28 37 27 40 26 44 25 46 24 48 23 5° 22 52 21 53 IO 20 3° 35 29 42 28 49 27 55 27 00 26 06 25 10 24 14 23 18 22 20 21 23 20 30 29 48 28 57 28 05 27 11 26 19 25 26 24 32 23 38 22 43 21 47 20 51 30 40 28 58 28 08 27 18 26 27 25 35 24 44 23 52 22 59 22 06 21 13 20 19 40 SO 28 06 27 18 26 30 25 41 24 51 24 01 23 11 22 20 21 29 20 37 19 45 50 8 00 27 13 26 26 25 40 24 52 24 °4 23 16 22 28 21 38 20 49 20 00 19 10 8 00 10 26 18 25 33 24 48 24 02 23 16 22 30 21 43 20 56 20 08 19 20 18 31 10 20 25 21 24 38 23 55 23 11 22 27 21 42 20 57 20 12 19 -26 18 40 17 53 20 30 24 24 23 42 23 °i 22 18 21 35 2° 53 20 10 10 26 18 42 ' 17 58 17 13 30 40 23 24 22 45 22 05 21 24 20 43 20 03 19 22 18 39 ' 17 58 17 15 16 32 40 50 22 23 21 46 21 07 20 29 19 5° 19 11 18 32 17 51 17 11 16 31 15 49 50, 9 00 21 21 20 45 20 08 19 32 18 55 18 18 17 40 17 02 16 24 15 45 15 06 9 OO 10 20 18 19 43 19 09 18 34 17 59 17 24 16 48 16 12 15 36 14 59 14 22 10 20 19 13 18 40 18 08 17 34 17 01 16 28 15 55 15 21 14 4° 14 12 13 36 20 30 18 67 17 37 17 06 16 35 16 04 15 32 15 °° 14 29 13 55 13 23 12 50 30 40 17 00 16 31 [6 02 15 33 15 °4 14 34 14 04 13 35 13 °4 12 34 12 02 40 50 15 5i 15 25 14 58 14 31 14 °4 13 36 13 09 12 4I 12 12 11 44 11 15 50 10 00 14 42 14 18 13 53 13 28 13 °2 12 37 . 12 12 11 45 11 19 10 53 10 26 10 00 10 13 32 13 I" 12 47 12 23 12 00 11 37 11 13 10 50 10 25 10 01 g 3 £ 10 20 12 22 12 01 II 40 11 19 1058 10 36 10 14 9 52 8 3 ? I °? 846 20 30 11 09 10 51 10 32 10 13 9 55 9 35 9 15 8 55 8 36 8 16 7 55 30 40 9 57 9 40 9 23 9 06 8 5° 8 32 8 15 7 58 7 39 7 22 7 04 40 50 8 44 8 29 8 15 8 00 7 45 7 3° 7 14 6 59 6 43 6 28 6 12 50 11 00 7 30 7 18 7 05 6 52 6 39 6 26 6 13 6 00 5 47 5 33 5 I? 11 OO 10 6 16 6 06 5 55 5 44 5 33 5 22 5 12 5 °i 4 50 4 39 4 26 10 20 5 ° 2 4 53 4 45 4 36 4 27 4 18 4 10 4 01 3 52 3 43 2 48 3 33 20 30 3 46 3 4° 3 34 13 3 20 3 14 3 07 3 01 2 54 2 40 30 40 2 31 2 26 2 23 2 14 2 09 , 2 05 2 01 156 1 5i I 47 40 50 i 15 1 13 1 11 1 09 1 07 1 °5 1 03 1 01 58 56 53 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or Bast of the meridian, the tabulated azimuths are reckoned from South to East, and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 157 AZIMUTH OR TRUE BEARING. LATITUDE 38°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 38°. Hour Angle. 24° 35° 26° 27° 38° 29° 30° 31° 32° 33° 34° 35° Hour Angle* b. m. o / / / / / ■ / / / / / / / n. in. oo 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 00 io 17" 37 170 01 169 IS 168 28 167 27 166 14 164 46 162 52 160 25 157 oS 152 26 145 25 10 ao 161 38 160 - 29 159 10 157 38 155 51 153 43 151 i° 148 04 144 13 139 22 133 11 125 14 20 30 30 153 18 151 46 150 00 148 00 145 43 143 03 139 59 136 22 132 07 127 05 121 09 114 n 40 145 47 143 59 141 58 139 43 137 i° 134 18 131 04 127 24 123 15 118 34 113 17 107 26 40 50 50 139 °8 137 11 135 °3 132 41 130 04 127 12 124 01 120 31 116 39 "2 25 107 49 102 49 1 00 133 18 131 17 129 06 126 44 124 10 121 23 1X8 22 115 06 III 34 107 46 l°3 43 9? 25 1 OO 10 128 10 126 09 124 00 121 42 119 '3 116 34 "3 45 110 43 107 29 IO4 05 100 29 9°43 10 ao 123 39 121 41 119 35 117 22 115 01 112 30 109 52 107 04 104 08 101 03 97 5° 94 29 20 30 "9 39 "7 45 "5 44 113 36 III 23 109 02 106 34 I°3 59 101 17 98 28 95 34 92 33 30 40 116 06 114 16 112 20 no 19 108 12 106 00 103 42 101 18 98 49 96 14 93 35 T 5 2 40 SO "2 55 in 09 109 18 107 24 105 24 103 19 101 10 98 57 9638 94 15 91 49 89 18 50 3 00 IIO 02 108 20 106 34 104 45 102 52 1°° 55 98 53 96 48 94 39 92 27 IS " 87 52 a 00 10 107 24 105 46 104 05 102 22 100 34 98 43 96 49 94 53 92 52 90 48 88 41 86 32 10 ao 104 59 103 25 101 49 100 10 98 28 96 43 94 56 93 °4 91 n 89 16. 87 17 85 17 20 30 102 44 101 15 99 42 98 08 96 30 94 5° 93 °9 91 25 8938 8748 85 57 84 04 30 40 100 38 99 12 97 43 96 14 94 41 93 °5 91 29 89 50 88 08 86 25 84 40 82 54 40 50 98 41 97 18 95 53 94 27 92 58 91 27 89 55 88 20 8645 85 °7 83 27 81 45 50 3 oo 96 49 95 29 94 07 92 45 91 19 89 53 88 25 86 54 85 23 83 50 82 16 80 39 3 OO 10 95 02 93 45 92 27 91 07 89 45 88 22 8657 85 32 84 05 82 48 82 36 81 05 79 3+ 10 ao 93 21 92 07 90 51 fg 34 88 16 8655 85 35 84 13 81 23 79 57 78 30 20 30 91 44 90 32 89 19 88 05 86 49 85.32 84 14 82 55 81 34 80 12 78 49 77 26 30 40 90 09 8859 87 49 86 37 85 24 84 10 82 55 81 39 80 21 79 °3 77 43 76 22 40 50 8839 87 30 86 22 85 12 84 02 82 50 81 37 80 23 79 °8 77 54 76 37 75 19 50 4 00 87 10 86 04 84 57 83 50 82 41 81 32 80 22 79 11 77 58 76 45 75 31 74 17 4 OO 10 85 42 8438 83 34 82 28 81 22 80 15 79 °7 77 58 7648 75 37 74 25 73 13 10 ao 84 18 83 15 82 12 81 08 So 04 7858 77 52 76 45 75,38 74 29 73 20 72 10 ao 30 82 54 Si 52 80 51 79 49 78 46 77 43 76 39 75 34 74 28 73 21 72 15 71 06 30 40 81 31 80 31 79 3i 78 31 77 30 76 28 75 25 74 22 73 19 72 14 71 °9 7° °3 40 50 80 09 79 11 78 13 77 14 76 13 75 13 74 12 73 II 72 09 71 06 70 02 68 59 50 5 oo 78 47 77 50 76 53 75 56 74 57 73 58 72 58 71 59 7° 59 6958 68 56 . 5? 54 5 bo 10 77 27 76 31 75 35 74 39 73 41 72 44 71 45 7° 47 69 48 68 48 6749 • 66 47 IO ao ..76 06 75 I" 74 16 73 21 72 25 71 29 70 32 °9 35 68 37 67 39 66 41 65 41 30 30 74 44 73 5i 72 57 72 03 71 08 70 13 69 18 68 03 68 23 67 26 66 29 65 32 64 35 30 40 73 23 72 31 7i 38 70 45 69 51 68 58 67 09 66 13 65 18 64 22 63 26 40 50 72 02 71 n 70 19 69 27 68 34 67 42 66 48 6556 65 01 64 06 63 12 62 17 50 6 oo 70 40 69 50 68 59 68 07 67 16 66 24 65 32 64 40 63 47 62 54 62 00 61 07 6 00 10 69 18 68 28 67 38 66 48 65 57 65 06 64 14 63 23 62 32 61 40 60 46 59 55 IO 20 67 54 67 °5 66 18 65 27 64 37 6348 6258 62 07 61 16 60 25 59 34 58 43 30 30 66 30 65 4J 64 53 64 05 63 16 62 27 61 38 60 49 59 59 59 °9 58 19 57 29 30 40 65 04 64 16 63 29 62 42 61 54 61 06 60 17 59 29 58 40 57 51 57 °2 56 14 40 50 6338 62 51 62 04 61 18 60 30 59 43 5856 58 08 57 21 56 33 55 45 54 57 50 7 00 62 10 61 24 60 38 59 52 59 o 6 58 20 57 33 56 08 56 46 55 59 55 12 54 26 53 39 7 OO 10 60 40 59 55 59 °9 58 24 57 39 56 54 55 23 54 36 53 5i 53 °5 52 18 IO ao 59 09 5824 57 4° 56 55. 56 11 55 26 54 4i 53 57 53 12 52 27 51 42 5° 57 30 30 57 36 56 52 56 08 55 25 54 4° 53 57 53 13 52 3° 51 46 51 02 50 18 49 34 30 40 56 02 55 18 54 35 53 52 53 °9 52 27 51 43 51 01 50 18 49 34 4851 48 08 40 50 54 24 53 4i 53 00 52 18 51 36 5° 54 50 11 49 29 48 48 48 06 47 24 46 42 50 8 00 52 45 52 03 51 22 50 40 49 59 49 19 48 37 47 57 47 16 46 34 45 54 45 13 8 OO 10 51 04 50 23 49 42 49 02 48 22 47 42 47 °2 46 22 45 41 - 45 02 44 22 43 42 IO 30 49 20 48 40 48 00 47 21 46 42 46 02 45 23 44 45 44 05 43 27 42 48 42 09 20 30 47 34 46 55 46 16 45 37 44 59 44 21 43 43 43 °6 42 27 41 5° 41 12 40 34 30 40 45 45 45 07 44 29 43 52 43 14 42 38 42 00 41 24 40 47 40 10 39 34 38 57 40 50 43 53 43 16 42 39 .42 03 41 27 4051 4° !5 39 4° 39 °3 38 29 37 53 37 18 50 9 OO 41 58 41 22 40 47 40 12 39 37 39 °2 38 27 37 53 37 19 36 44 36 10 35 37 9 OO IO 40 01 39 26 38 52 38 18 37 44 37 11 36 37 36 04 35 31 34 59 34 26 33 54 10 ao 38 01 37 27 36 54 36 22 35 50 35 18 34 45 34 14 33 42 33 1° 32 39 32 08 20 30 35 58 35 26 34 54 34 23 33 51 33 21 32 5° 32 19 31 5° 31 20 3° 5° 30 20 30 40 33 51 33 21 32 50 32 21 31 52 31 22 30 52 30 24 29 55 29 26 28 59 28 30 40 50 31 42 31 13 30 44 30 16 29 48 29 20 28 52 28 25 27 58 27 32 27 °5 26 39 50 10 OO 29 30 29 02 2835 28 09 27 43 27 17 26 51 26 25 26 00 25 34 25 10 24 45 10 00 IO 27 15 26 49 26 24 25 59 25 34 25 1° 24 46 24 22 23 58 23 35 23 11 22 48 10 ao 24 56 24 33 24 10 23 47 23 23 23 02 22 39 22 17 21 55 21 34 21 12 20 51 20 30 22 36 22 14 21 52 21 32 21 II 20 50 20 29 20 10 19 5o 19 31 19 10 18 51 30 40 20 12 19 52 19 34 19 15 18 56 18 37 18 18 18 01 17 43 17 24 17 07 16 50 40 50 17 46 17 29 17 I2 16 55 16 38 16 22 16 06 ,15 5° 15 34 15 18 15 03 14 47 50 11 oo 15 18 15 03 14 49 14 34 14 20 14 °5 13 5i 13 38 13 24 13 1° 12 57 12 44 11 OO IO 12 49 12 36 12 23 12 n 11 59 11 46 n 35 n 23 II 12 II 00 10 49 10 38 10 ao 10 17 10 07 9 57 9 47 9 38 9 27 9 17 9 08 8 59 8 5° 8 41 8 32 20 30 7 44 7 36 7 29 7 21 7 13 7 06 6 59 6 52 6 45 6 38 631 6 24 30 40 5 10 5 °5 5 00 4 54 4 5° 4 45 4 40 4 35 4 31 4 26 4 21 4 17 40 50 2 35 2 33 2 30 2 28 2 25 2 22 2 20 2 18 2 15 2 13 2 10 2 08 50 la 00 00 00 00 00 00 00 00 00 00 00 00 00 13 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude,' when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to -East; ana when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 158 AZIMUTH OR TRUE BEARING. LATITUDE 38°. DECLINATION— SAME NAME AS -LATITUDE: LATITUDE 38°. Hour Angle. 36° 37° 38° 38° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. in. / t / / / t fc / / r / / / b. 111. oo iSo oo 180 00 00, 00 00 00 00 00" 00 00 00 00 10 134 IS "5 59 89 14 62 09! *' 43 24 31 57 24 48 20 01 16 39 14 °9 12 15 10 44 10 20 115 °° 102 37 88 28 74 °7 61 13 5° 34 42 10 35 38 30 33 26 31 23 16 20 37 20 30 106 II 97 15 87 41 78 01 6843 60 15 52 47 46 22 40 55 36 19 32 24 29 °5 30 40 101 01 94 07 if 55 79 37 72 27 6538 59 17 53 3° 48 19 43 43 39 37 36 02 40 50 97 31 9 1 55 86 09 80 17 7428 68 48 63 23 58 17 53 33 49 11 45 12 41 34 50 1 00 94 54 90 12 85 22 80 29 75 35 70 46 66 10 61 34 57 16 53 14 49 28 45 57 1 00 10 92 47 8844 84 35 80 23 76 10 71 58 67 52 63 51 59 59 56 16 52 43 49 24 10 20 91 00 87 26 83 48 80 07 76 24 72 43 69 03 65 27 61 56 58 3° 55 13 52 04 20 i 30 89 26 86 15 83 01 79 44 76 26 73 °6 69 48 6633 63 20 60 12 57 °8 54 10 30 1 40 88 02 85 09 82 14 79?6 76 16 73 16 70 16 67 18 64 21 61 27 58 35 55 49 v 40 50 8643 84 06 81 26 78 43 76 00 73 15 70 30 67 46 65 °3 62 21 59 42 57 05' 50 2 OO 85 3° 83 °5 80 38 78 09 75 39 73 °6 7° 34 68 02 65 31 63 00 60 31 58 03 2 00 10 84 20 82 06 79 5° 77 32 75 12 72 52 70 30 68 08 65 47 6^ 26 61 05 58 47 10 20 83 13 81 08 79 01 76 52 74 42 72 31 70 19 68 06 65 54 63 41 61 28 59 17 20 30 82 08 80 11 78 12 76 11 74 °9 72 07 70 02 67 57 65 53 6348 61 43 59 39 30 40 81 04 79 14 77 22 75 29 73 34 7i 39 69 41 67 44 65 46 6348 61 49 59 5i 40 50 80 02 78 18 76 32 74 45 72 57 71 07 69 16 67 25 65 33 63 41 61 49 59 58 SO 3 00 79 01 77 22 75 42 74 °° 72 17 7° 33 68 48 67 °3 65 17 63 29 61 42 59 54 3 00 10 78 01 76 26 74 5i 73 14 71 36 69 58 68 17 66 36 64 56 63 13 61 31 59 48 10 20 77 00 75 3° 73 59 72 27 7° 53 69 18 67 43 66 07 64 31 62 53 61 15 59 37 20 30 76 00 74 34 73 °7 71 38 70 09 6839 67 07 65 36 64 03 62 29 60 56 59 21 30 40 75 °° 73 38 72 14 70 49 69 23 6756 66 29 65 01 63 32 62 02 60 32 59 °i 58 37 40 50 74 00 7241 71 20 69 59 6836 67 13 65 49 64 24 62 59 61 33 60 06 50 4 00 73 0° 7i 43 70 26 69 08 68 15 6748 66 28 65 °7 63 45 62 23 61 00 59 34 58 11 4 OO 10 72 00 7° 45 69 31 6658 65 41 64 22 63 °4 61 45 60 24 59 °3 57 42 10 20 7° 59 69 47 6835 67 22 66 08 64 53 6338 62 21 61 04 59 47 58 29 57 1° 20 30 °9 57 68 49 67 38. 66 28 65 15 64 04 62 50 61 37 60 23 59 °8 57 51 56 35 30 40 68 56 67 49 66 41 65 32 64 23 63 13 62 02 60 51 59 39 58 53 58 26 57 12 55 58 40 50 67 53 66 49 65 43 64 36 63 29 62 21 61 12 60 03 57 42 56 31 55 19 50 5 00 66 50 65 47 64 43 63 38 62 32 61 27 60 20 58^2 58 05 56 57 55 48 54 38 5 OO 10 65 47 64 45 63 42 62 39 61 36 60 32 59^7 57 16 56 09 55 °2 53 55 IO 20 64 42 63 42 62 41 61 39 60 37 59.35 50 33 57 29 56 25 55 20 54 15 53 °9 20 30 °3 36 62 37 61 38 60 38 59 38 58 37 57 36 56 34 55 32 54 28 53 25 52 22 30 40 62 29 61 32 60 34 59 36 58 37 57 38 5638 55 38 54 37 53 36 52 34 51 33 40 50 61 21 60 25 59 29 58 33 57.35 5638 55 4° 54 4i 53 4i 52 42 51 42 5° 41 SO 6 00 60 12 59 18 58 23 57 28 56 32 55 35. 54 3? 53 42 52 44 51 45 5° 47 49 49 6 OO 10 59 ° 2 58 09 57 15 56 21 55 27 54 31 53 36 52 4° 51 44 50 47 49 5i 48 53 48.53 10 20 57 51 56 59 56 °7 55 14 54 21 53 27 52 33 51 38 5° 44 49 49 *1 5 Z 20 30 5638 55 47 54 56 54 °4 53 12 52 20 51 27 5° 34 49 41 48 47 47 53 4658 30 40 55 24 54 34 53 44 52 54 52 02 51 12 5° 21 49 29 48 37 47 45 46 52 45 59 40 50 54 °° 53 19 52 31 51 41 50 52 50 02 49 11 48 22 47 31 46 39 45 48 44 57 50 7 00 52 5i 52 04 50 46 51 16 50 28 49 39 4825 4? 51 48 02 47 13 46 23 45 33 44 43 43 53 7 OO 10 • 51 32 49 59 49 12 47 38 46 49 46 02 45 13 44 25 43 37 42 47 10 20 50 12 49 26 48 41 47 55 47 °9 46 22 45 36 44 5° 44 °3 43 15 42 28 41 4° 20 30 48 49 48 05 47 21 46 36 45 5i 45 °6 44 20 43 35 42 50 42 04 41 18 40 32 30 40 47 25 46 42 45 59 45 16 44 32 43 48 43 °3 42 20 41 35 4° 51 40 06 39 21 38 09 40 50 46 00 45 18 44 35 43 52 43 10 42 28 41 45 41 02 40 19 39 36 3852 50 8 OO 44 3i 43 51 43 1° 42 29 41 46 41 06 40 24 39 43 39 °l 38 19 37 37 36 55 8 00 10 43 °2 42 23 41 43 4i °3 40 23 39 42 39 °2 38 22 37 41 37 °° 36 20 35 4° 10 20 41 3° 4° 51 4° 13 39 34 38 °5 38 55 38 16 37 37 36 59 . 36 20 35 4° 35 °l 34 22 20 30 ■ 39 57 39 '9 38 42 37 27 36 49 36 12 35 34 34 56 34 18 33 4° 33 °3 30 40 38 21 37 44 37 °9 36 33 35 56 35 20 34 43 34 °7 33 31 32 54 32 18 31 42 40 50 36 43 36 09 35 33 34 59 34 23 33 49 33 14 32 39 32 04 31 29 3° 54 30 19 50 9 00 35 03 34 3° 33 56 33 22 32 49 32 16 31 42 31 08 3° 35 30 02 29 28 2855' 9 00 10 33 21 32 49 32 17 31 45 31 12 30 40 30 08 29 36 29 04 28 33 28 01 27 29 IO 20 31 37 31 07 3° 36 30 05 29 34 29 °4 28 33 28 03 27 32 27 02 26 32 26 02 20 30 29 5° 29 22 28 52 28 23 27 54 27 25 26 57 26 28 25 59 25 3° 25 02 24 33 30 40 28 03 27 35 27 07 26 40 26 13 25 44 25 18 24 5i 24 23 23 56 23 2S 23 02 40 50 26 12 25 46 25 20 24 55 24.29 24 °3 23 37 23 12 22 46 22 20 21 55 21 29 5.0 10 00 24 20 23 56 23 31 23 08 22 43 22 19 21 55 21 3 1 21 08 20 44 20 21 19 56 10 00 10 22 25 22 03 21 41 21 19 20 56 20 34 20 12 19 5° 19 28 ' 19 °5 18 43 18 22 10 20 20 30 20 09 19 48 19 28 19 07 18 47 18 26 18 06 17 46 17 26 17 °5 16 46 20 30 18 32 18 14 17 54 17 35 17 17 16 59 16 4c 16 22 16 04 15 45 15 27 15 °9 30 40 16 32 16 16 15 59 15 42 15 26 15 °s 14-52 14 36 14 19 14 03 13 47 13 31 40 50 H 33 14 17 14 02 13 47 13 32 13 18 13 °3 12 49 12 34 12 20 12 05 11 52 50 11 00 12 30 12 17 12 04 II 52 11 39 11 26 11 13 11 01 10 49 10 36 10 23 10 12 11 00 10 10 27 10 16 10 05 9 55 9 44 9 33 9 23 9 12 9 02 851 8 41 831 10 20 8 33 8 14 8 05 7 57 748 7 4° 7 31 .7,23 7 14 7 06 6 58 6 49 20 ': - " ' 30 6 18 6 12 6 05 5 58 5 52 5 45 5 39 5 32 5 26 5 20 5 14 5 °7 , 30 40 4 12 4 08 4 °3 3 59 3 55 3 5i 3 46 3 42 3 38 3 34 3 29 3 25 40 50 2 07 2 04 2 02 1 59 1 57 1 55 1 54 1 51 I 49 1 47 1 45 1 43 50 12 1 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 "00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 159 AZIMUTH OR TRUE BEARING. LATITUDE 38°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 38°. Hour Angle. 48° 49° 60° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. In. in. o / / / t / / / / / / O / / b. in. 00 10 so 30 40 50 00 00 00 00 00 00 00 00 00 00 00 00 00 9 32 i8 24 831 7 41 6 57 6 20 5 47 5 19 4 53 4 31 4 10 3 5i 3 35 10 16 33 14 59 13 37 12 26 11 24 10 29 9 4° 856 8 16 7 40 7 07 20 26 14 23 47 21 40 19 47 18 09 16 41 15 23 14 13 13 1° 12 13 11 20 10 33 30 3 2 5i 30 03 27 34 25 20 23 21 21 34 25 58 19 58 18 30 17 11 15 57 14 5i 13 5° 40 38 18 35 19 32 38 30 11 27 58 24 °7 22 25 20 54 19 28 18 10 16 57 50 1 00 10 20 30 40 50 42 42 39 42 3656 34 22 32 01 29 50 27 50 26 00 24 17 22 42 21 14 19 51 1 OO 46 14 43 16 40 31 37 55 35 3i 33 16 31 °9 29 12 27 22 25 39 28 19 m 22 33 IO 49 04 46 12 43 30 40 55 38 29 3° 12 34 03 32 01 30 07 25 01 20 / 51 19 48 34 45 57 43 26 41 02 38 45 36 35 34 31 3° 41 32 33 3042 28 57 27 '16 30 53 06 50 29 47 58 45 31 43 09 40 55 38 45 34 43 32 49 31 00 29 18 40 54 31 52 02 49 36 47 I4 V 44 57 42 45 40 36 38 34 36 35 34 41 32 51 31 °7 50 3 00 10 20 30 40 SO 55 39 5° 27 53 15 50 56 48 40 46 27 44 17 42 12 40 11 38 13 36 19 34 29 32 44 3 00 54 13 51 59 49 49 47 40 45 36 43 33 41 33 39 37 37 45 35 55 34 °9 10 57 °° 54 58 52 51 50 45 48 41 46 39 44 4° 42 44 40 50 38 58 37 °9 35 24 20 57 34 55 31 53 30 51 28 49 29 47 32 45 3° 43 42 41 51 40 02 38 14 3° 3° 30 57 52 55 55 53 59 52 03 50 08 48 14 46 21 44 3i 42 42 4° 55 39 °9 37 26 40 58 03 56 11 54 19 52 28 50 37 48 47 46 59 45 11 43 24 41 40 39 56 38 14 SO 3 OO 10 20 30 40 50 58 07 56 19 ■ 54 32 52 45 50 59 49 13 47 27 45 42 43 59 42 16 4° 35 38 54 3 00 58 05 56 21 54 39 52 55 51 13 49 3° 47 47 46 06 44 25 42 46 41 06 39 28 10 57 58 56 19 54 39 52 59 51 20 49 41 48 02 46 24 44 46 43 °8 41 3i 39 55 20 57 45 56 10 54 34 52 58 51 23 49 47 48 10 46 35 45 °° 43 25 41 5° 40 16 30 57 29 55 58 54 25 52 52 51 20 49 47 48 14 46 41 45 °8 43 36 42 03 4° 31 40 57 10 55 41 54 12 52 42 51 13 49 43 48 12 46 43 45 12 43 42 42 12 40 42 50 4 00 10 20 30 40 50 56 46 55 21 53 54 52 27 51 02 49 34 48 07 46 39 45 11 43 44 42 16 40 48 4 OO 56 19 54 57 53 34 52 °9 50 46 49 22 47 57 46 31 45 °6 43 40 42 15 40 48 10 55 50 54 30 53 10 51 49 50 27 49 "5 47 43 46 19 44 57 43 33 42 09 40 46 20 55 18 54 01 52 43 51 24 50 05 48 46 47 25 46 04 44 44 43 23 43 °8 42 01 4° 39 30 54 43 53 29 52 13 50 57 49 39 48 22 47 °4 45 46 44 27 41 49 . 4° 3° 40 54 07 52 54 51 40 50 26 49 11 47 57 46 41 45 25 44 °8 . 42 51 41 33 40 15 50 5 00 53 27 52 17 51 °3 49 53 48,41 47 28 46 14 45 °° 43 46 42 31 41 15 39 59 5 OO 10 20 52 46 51 37 50 27 49 18 48 07 46 56 45 44 44 33 43 20 42 06 4° 53 39 39 10 52 03 50 56 49 48 48 40 47 32 46 22 45 12 44 °2' 42 52 41 4° 40 29 39 16 20 30 40 50 51 17 50 12 49 06 47 59 46 53 45 46 44 38 43 3° 42 21 41 II 40 01 38 5° 30 50 29 49 26 48 21 47 17 46 13 45 07 44 01 42 54 4i 47 4° 39 39 31 38 23 40 ■49 40 4838 47 36 46 33 45 31 44 26 43 22 42 17 41 11 40 06 39 °° 37 52 50 6 00 48 48 47 48 46 48 45 47 44 45 43 43 42 40 41 37 4° 34 39 29 38 25 37 19 6 00 10 20 47 55 46 57 45 58 44 59 43 59 42 59 41 57 40 55 39 54 38 51 37 48 3° 44 10 47 00 46 03 45 08 45 06 44 08 43 °9 42 11 41 12 40 12 39 12 38 11 37 °9 36 07 20 30 40 46 03 44 12 43 15 42 19 41 22 40 24 39 26 38 28 37 28 36 28 35 28 30 45 04 44 10 43 16 42 22 41 26 4° 31 39 34 38 37 37 4° 36 43 35 45 34 46 40 50 44 04 43 12 42 19 41 25 40 32 -39 38 38 43 37 48 36 52 35 56 35 0° 34 °3 50 7 OO 43 03 42 12 41 19 40 27 39 36 3843 37 5° 36 57 36 02 35 °8 34.13 33 18 7 00 10 4i 57 41 08 40 18 39 28 38 37 37 47 36 55 36 02 35 1° 34 18 33 25 32 30 IO 20 40 52 40 04 39 16 38 26 37 37 36 48 35 58 35 °7 34 17 33 26 32 33 31 41 20 30 39 45 3858 38 11 37 24 36 36 35 47 34 58 34 10 33 21 32 32 31 42 3° 51 30 40 3» 35 37 5° 37 °5 36 19 35 32 34 46 33 59 33 12 32 24 31 35 3° 47 29 58 40 50 37 25 36 41 35 57 35 12 34 28 33 42 32 57 32 II 31 25 3° 38 29 51 29 °5 50 8 00 36 12 35 29 34 46 34 04 33 20 32 37 31 52 31 08 3° 23 29 39 28 54 28 08 8 00 10 34 58 34 17 33 36 32 53 32 12 31 30 30 48 30 °5 29 22 2839 27 55 27 11 IO 20 33 42 33 02 32 22 31 42 31 02 30 22 29 41 28 59 28 18 27 36 26 54 26 12 30 30 32 24 31 46 31 07 30 28 29 50 29 11 28 31 27 52 27 13 26 33 25 52 25 12 30 40 31 04 30 28 29 51 29 14 28 37 27 5? 27 22 26 44 26 06 25 28 24 49 24 11 40 50 29 44 29 08 28 33 27 57 27 22 26 46 26 10 25 34 24 57 24 21 23 44 23 07 50 9 00 28 21 27 47 27 13 26 39 26 06 25 31 24 56 24 22 23 47 23 12 22 38 22 03 9 00 10 26 57 26 25 25 52 25 20 24 48 24 16 23 43 23 10 22 36 22 03 21 30 20 57 IO 20 25 31 25 01 24 29 23 59 23 29 22 08 22 5.8 21 3b 20 18 22 27 21 56 21 25 20 53 20 21 19 49 30 30 24 03 23 35 23 06 22 37 21 10 20 40 20 11 19 42 19 11 18 41 30 40 22 34 22 08 21 41 21 13 20 45 19 Si 19 24 18 56 18 28 18 00 17 32 40 50 21 05 20 39 20 12 19 48 19 22 1858 18 31 18 05 17 40 17 14 16 47 16 21 50 10 00 19 32 19 09 18 45 18 22 17 58 17 35 17 11 16 46 16 23 15 58 15 34 15 10 10 00 io 18 00 17 38 17 16 16 55 16 33 16 10 15 49 15 27 15 °4 14 43 14 20 13 57 IO 20 16 26 16 06 15 46 15 26 15 06 14 46 14 25 14 °5 13 45 13 25 13 °4 12 45 30 30 14 5' 14 33 14 15 13 56 13 38 13 21 13 02 12 43 12 25 12 07 11 49 II 30 30 40 13 '4 12 58 12 42 12 26 12 10 II 53 II 38 II 21 11 05 10 48 10 32 10 15 40 SO " 37 11 23 II 09 10 54 TO 41 10 26 10 12 9 57 9 44 . 9 29 9 15 9 00 50 11 00 9 59 9 47 9 34 9 22 9 10 8 58 8 45 8 33 8 21 8 08 7 57 7 44 11 00 10 8 20 8 10 8 00 7 49 7 39 7 29 7 19 7 09 6 59 6 48 6 38 6 27 10 20 6 41 6 33 6 24 6 16 6 08 6 00 5 52 5 43 5 35 5 28 5 19 5 10 • 30 30 5 01 4 55 4 49 4 42 4 36 4 3° 4 24 4 [8 4 12 4 06 4 00 3 53 30 40 3 21 3 17 3 13 3 08 3 °4 3 °° 25 f 2 52 2 48 2 44 2 40, 2 3 6 40 50 I 41 138 I 36 1 34 1 32 I 3° 1 28 1 26 1 24 1 22 1 20 1 17 50 13 00 oo ( 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latltude'and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 160 AZIMUTH OR TRUE BEARING. IjATITUDK 38°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 38°. Hour Angle. 60° o t 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. n. in. / 1 1 / / / / / / / h. ni. OO 00 00 00 00 00 00 00 00 00 00 00 00 10 3 '9 3 06 2 53 2 41 2 30 2 20 2 10 2 01 1 52 1 44 1 37 10 20 6 37 6 10 5 43 5 20 4 58 4 37 4 18 4 01 3 44 3 28 3 13 20 30 9 49 9 08 8 31 7 5° 7 23 6 54 6 25 5 59 5 34 5 1° 4 47 30 40 12 54 12 01 II 13 10 28 9 45 9 06 8 29 7 55 7 22 6 50 6 21 40 50 15 49 14 47 13 48 12 54 12 02 " 15 10 29 9 47 9 07 8 29 7 53 50 1 OO 18 34 17 22 16 16 15 13 14 13 13 17 12 25 11 36 10 48 10 04 9 22 1 00 10 21 08 19 48 18 35 17 25 16 18 15 15 14 16 16 01 13 20 12 27 11 3 6 10 47 10 20 23 3° 22 05 20 44 19 28 18 15 17 06 H 59 14 00 13 °4 12 09 20 30 25 4° 24 10 22 45 21 23 20 05 18 51 17 40 16 33 15 3° 14 28 13 29 30 40 27 38 26 04 24 35 23 09 21 47 20 28 19 14 18 02 16 54 15 47 14 44 40 50 29 25 27 48 26 15 24 46 23 21 21 59 20 40 19 25 18 12 17 02 15 55 50 2 00 31 00 29 22 27' 47 26 l6 24 48 23 23 22 00 20 42 19 27 18 13 17 02 2 00 - 10 32 26 30 46 29 09 27 37 26 07 24 39 23 15 21 53 20 35 19 19 18 05 10 20 33 40 32 01 30 24 28 49 27 iS 25 49 24 22 22 59 21 38 20 20 19 °3 20 30 34 46 33 °7 31 3° 29 55 28 22 26 52 25 24 23 59 22 36 21 16 19 57 30 40 35 44 34 05 32 28 30 53 29 20 27 49 26 20 24 53 23 3° 22 07 20 47 40 50 3° 33 34 55 33 19 31 44 30 11 28 39 27 10 25 43 24 18 22 55 21 32 50 3 OO 37 15 35 38 34 03 32 28 30 55 ,29 24 27 55 26 27 25 °l 23 36 22 14 3 OO 10 37 50 3° 15 34 40 33 06 31 35 30 04 28 34 27 06 25 4° 24 14 22 51 10 20 38 19 3° 44 35 " 33 39 32 08 3° 38 29 08 27 4° 26 14 24 48 23 24 20 30 38 42 37 I" 35 38 34 06 32 36 31 06 29 37 28 09 26 44 25 18 23 54 30 40 38 59 37 28 35 58 34 28 32 59 31 3° 30 02 2 I 3 ? 27 09 25 43 24 19 40 50 39 12 37 42 36 14 34 45 33 17 31 49 30 22 28 56 27 3i 26 05 24 40 50 4 00 39 20 37 52 36 24 34 58 33 31 32 04 3° 38 29 13 27 48 26 24 25 00 4 00 10 39 23 37 57 36 32 35 °° 33 40 32 15 3° 5° 29 25 28 02 26 38 25 14 10 20 39 22 37 58 3° 34 35 10 33 46 32 22 3° 59 29 35 28 12 26 50 25 27 20 30 39 17 37 55 36 33 35 " 33 48 32 26 31 °3 29 4i 28 19 26 57 25 35 30 40 39 °8 37 48 36 28 35 08 33 46 32 25 31 °5 29 43 28 23 27 02 25 4° 40 50 38 57 37 39 36 20 35 01 33 41 32 21 31 02 29 42 28 23 27 °3 25 43 50 5 OO 38 41 37 26 36 09 34 51 33 33 ■ 32 15 3° 57 29 38 28 20 27 01 25 42 5 00 10 38 24 37 °9 35 54 34 39 33 22 32 05 30 49 29 32 28 15 26 58 25 39 IO 20 3803 36 5° 35 36 34 23 33 08 31 53 30 38 29 22 28 07 26 50 25 34 20 30 37 39 36 28 35 16 34 04 32 51 31 38 30 24 29 10 27 5° 26 42 25 26 30 40 37 13 36 04 34 54 33 43 32 32 31 20 30 07 28 55 27 43 26 29 25 15 40 50 36 45 35 37 34 28 33 20 32 09 3° 59 29 49 28 38 27 27 26 14 25 02 50 6 00 36 13 35 07 34 01 32 54 31 45 30 36 29 28 28 19 27 09 25 58 24 48 6 OO io 35 40 34 35 33 30 32 25 31 19 30 12 29 °4 27 57 2649 25 4° 24 3° 10 20 35 04 34 02 32 58 31 55 30 50 29 45 28 39 27 33 26 26 25 18 24 11 20 30 34 27 33 26 32 24 31 22 30 19 29 16 28 II 27 06 26 01 24 56 23 49 30 40 33 47 32 47 31 47 30 47 29 45 2843 27 41 26 38 25 35 24 31 23 25 40 50 33 06 32 07 31 09 30 11 29 11 28 10 27 10 26 08 25 06 2fi 04 23 01 50 7 00 32 21 31 26 30 29 29 31 28 34 27 35 26 36 25 36 •24 3° 23 35 22 34 7 00 10 3 1 36 30 42 29 46 28 51 27 54 2658 26 00 25 02 24 04 23 °5 22 05 10 20 30 48 29 56 29 02 28 08 27 14 26 18 25 23 24 26 23 3° 22 32 21 34 20 30 29 59 29 08 28 16 27 24 26 31 25 38 24 44 23 49 22 55 21 59 21 02 30 40 29 09 28 19 27 28 26 38 25 47 24 56 24 °4 23 11 22 18 21 24 20 29 40 50 28 16 27 29 26 40 25 5i 25 02 24 12 23 21 22 30 21 39 20 47 19 54 50 8 OO 27 22 26 36 25 49 25 02 24 14 23 26 22 38 21 48 20 58 20 09 19 18 8 00 10 26 26 25 42 24 57 24 12 33 25 22 39 21 53 21 05 20 17 ■ 19 29 18 40 10 20 25 29 24 47 24 03 23 19 22 36 21 51 21 06 20 20 19 35 18 48 18 01 20 30 24 3° 23 49 23 08 22 26 21 44 21 01 20 18 19 34 18 51 18 05 17 21 30 40 23 31 22 51 22 II 21 32 20 51 20 10 19 29 1847 18 05 17 22 1° 39 40 50 22 29 21 52 21 14 20 36 19 57 ' 19 18 18 38 17 58 17 18 16 38 15 56 50 9 OO 21 27 20 51 20 14 19 33 19 02 18 24 17 46 17 09 16 30 15 52 15 13 9 00 10 20 23 19 48 19 14 18 40 18 05 17 29 16 54 16 18 15 41 15 °4 14 28 10 20 19 17 18 45 18 13 17 40 17 07 16 34 16 01 15 26 14 52 14 17 13 42 20 30 18 11 17 41 17 10 16 40 16 08 15 37 15 °5 14 33 14 01 13 28 12 55 30 40 17 04 16 35 16 07 15 38 15 08 14 39 14 <=9 13 39 13.09 12 38 12 07 40 50 15 55 15 28 15 02 14 35 14 07 13 4° 13 13 12 45 12 16 II 48 11 19 50 10 00 14 46 14 21 13 56 13 31 13 06 12 41 12 15 11 49 11 23 1° 57 10 29 10 00 10 13 35 13 12 12 50 12 2b 12 03 II 40 11 16 10 52 10 29 10 05 9 39 10 20 12 24 12 03 II 42 II 21 11 00 10 39 10 17 9 55 9 34 9 12 849 20 30' 11 11 10 53 10 34 10 16 9 57 9 37 9 18 8 58 8 39 8 19 7 5» 30 40 9 59 9 42 9 25 9 09 852 8 34 8 17 7 59 7 42 7 24 7 06 40 50 8 45 831 8 16 8 01 7 46 7 32 7 16 7 °l 6 46 6 30 6 14 50 11 00 7 31 7 19 7 06 6 53 6 40 6 27 *6 14 6 01 5 49 5 35 5 21 11 OO 10 6 17 6 06 5 56 5 45 5 34 5 24 5 13 5 °2 4 51 4 4° 4 29 IO 20 5 03 4 54 4 45 4 37 4 29 4 19 4 11 4 02 3 53 3 44 3 35 20 30 3 46 3 4i 3 34 3 27 3 21 3 14 3 08 3 01 2 55 2 49 2 43 30 40 2 31 2 27 2 23 2 19 2 14 2 10 2 06 2 01 1 56 1 53 I 48 40 50 I 16 1 14 I 12 1 09 1 07 1 05 1 °3 1 or 59 56 ° 54 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of 'the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 161 AZIMUTH OR TRUE BEARING. LATITUDE 39°. DECIJNATION- -SAME NAME AS— LATITUDE. LATITUDE 39°. Hour Ah gle. 24° 25° 26° 27° 28° 29° > 30° 31° 32° 33° 34° 35° Hour Angle. b. in. o / / t / / / / / / / 1 / ta. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 171 13 170 42 170 05 169 23 168 33 167 34 166 22 164 55 163 02 160 37 157 21 152 43 10 20 162 46 161 46 160 38 159 20 157 49 156 03 153 57 151 25 148 20 144 3i 139 42 133 32 20 30 154 5" 153 29 151 57 150 13 148 14 145 58 143 19 140 15 136 40 132 24 127 23 121 26 30 40 40 147 37 146 00. 144 11 142 n 139 56 137 25 134 34 131 20 127 41 123 31 118 49 113 31 50 141 07 139 20 137 24 135 15 132 54 130 19 127 26 124 16 120 45 "6 53 112 37 107 59 50 1 00 135 20 133 30 131 3° 129 19 126 58 124 22 121 35 . "8 34 "5 17 in 44 107 55 103 50 1 00 10 130 12 12S 20 126 21 124 n 121 52 "9 24 116 44 "3 54 no 51 107 37 104 11 100 33 10 20 125 39 123 48 121 50 119 44 117 31 "5 09 112 39 no 00 107 12 104 14 101 06 97 5i 20 30 121 36 119 47 117 53 "5 51 113 43 in 29 109 07 106 38 104 03 101 20 98 30 95 33 30 40 "7 57 116 12 114 22 112 25 no 23 108 16 106 03 i°3 45 101 20 98 50 96 14 93 33 40 50 114 41 112 59 in 13 109 21 107 26 105 26 103 20 101 10 9856 96 36 .94 13 91 45 50 2 00 ill 42 no 03 log 22 106 35 104 46 102 52 100 54 98 52 96 46 94 36 92 23 90 06 2 00 IO 108 58 107 24 105 47 104 05 102 20 100 32 98 41 96 46 94 48 92 47 §° 4 i 88 35 IO 20 106 27 104 57 103 23 101 46 100 07 98 24 96 39 94 5° 92 59 91 05 89 08 87 08 20 30 104 07 102 41 101 II 99 38 98 02 9 6 25 94 45 93 02 91 17 89 29 ll 39 85 47 30 40 101 56 100 33 99 07 97 38 96 07 94 34 92 58 91 21 89 41 87 59 86 15 84 29 40 50 99 54 98 33 97 10 95 45 94 18 92 49 91 18 89 45 88 10 8633 84 55 83 15 50 3 00 97 58 96 40 95 20 93 58 92 35 91 10 89 43 88 13 86 43 85 11 83 37 82 01 3 00 10 96 08 94 52 93 35 92 16 9° 55 89 33 88 02- 88 10 86 45 85 18 83 51 82 21 80 49 10 20 94 22 93 09 91 55 90 18 9° 39 89 21 86 42 85 20 83 57 82 33 81 07 79 40 20 30 92 41 91 30 89 04 87 49 86 33 85 16 8358 82 38 81 17 79 55 ■ 7831 30 40 91 03 89 54 88 45 87 33 86 21 8507 83 53 82 37 81 21 80 03 78 44 77 23 40 50 89 27 88 22 87 14 86 05 84 55 83 44 82 32 81 18 80 05 78 49 77 34 76 16 50 4 00 8756 8651 85 45 84 38 83 3i 82 22 81 13 80 01 78 5° 77 38 76 24 75 10 4 00 IO 8625 85 22 84 18 83 13 82 08 81 01 79 54 78 45 77 36 76 26 75 15 74 °3 IO 20 84 57 83 56 82 53 81 50 80 47 79 41 7836 77 3° 76 23 75 15 74 06 72 55 20 30 83 30 82 30 81 30 80 28 79 26 78 22 77 19 76 15 75 °9 74 04 72 57 71 51 30 40 82 05 81 06 80 07 79 °7 78 06 77 °4 76 04 75 °o 73 57 72 53 71 48 70 42 40 50 80 41 79 43 78 45 77 46 7648 75 48 74 47 73 46 72 45 71 43 70 39 69 35 50 5 00 79 16 78 19 77 23 76 25 75 28 74 3° 73 31 72 31 7i 31 70 31 69 30 68 28 5 OO 10 77 52 76 57 76 02 75 06 74 09 73 12 72 15 71 17 70 18 69 19 68 20 67 19 10 20 76 29 75 35 74 41 73 46 72 51 71 55 7° 59 70 03 69 05 68 07 67 09 66 10 20 30 75 06 74 13 73 2° 72 26 71 32 7° 37 69 43 68 47 67 51 66 55 65 58 65 00 30 40 73 42 72 51 7i 58 71 06 70 13 69 19 6825 67 31 6637 65 41 64 46 63 51 40 50 72 19 71 28 70 37 69 45 68 54 68 01 67 08 66 15 65 22 64 28 63 34 62 39 SO 6 00 70 55 70 05 69 15 68 24 67 33 66 41 65 50 64 58 64 05 63 13 62 20 61 26 6 00 10 69 30 68 d5 68 41 67 51 67 01 66 12 65 21 64 31 63 40 62 48 61 58 61 05 60 13 10 20 67 17 66 28 65 39 6450 64 00 63 II 62 22 61 31 60 41 59 50 58 59 20 30 6639 65 51 65 04 64 15 63 27 62 38 61 50 61 01 60 12 59 23 58 33 57 43 30 40 65 11 64 25 63 38 62 50 62 03 61 15 60 28 59 40 5852 58 03 57 15 56 26 40 50 63 43 62 57 62 11 61 25 60 38 59 51 59 05 58 18 57 31 56 43 55 56 55 08 50 7 00 62 13 61 29 60 43 59 57 59 " 58 25 57 40 56 53 55 28 56 08 55 22 54 35 53 47 7 OO 10 60 42 59 57 59 12 58 27 57 43 56 57 56 14 54 43 53 58 53 12 52 26 10 20 59 °9 58 26 57 4i 56 57 56 13 55 3" 54 46 54 01 53 16 52 33 51 48 51 03 20 30 57 34 56 52 56 09 55 26 54 43 53 59 53 16 52 32 51 49 51 05 50 23 49 39 30 40 55 58 55 16 54 34 53 51 53 09 52 27 51 45 51 02 50 20 49 38 48 55 48 13 40 50 54 20 53 39 52 57 52 15 51 34 50 53 50 12 49 30 48 48 48 08 47 26 46 44 50 8 00 52 40 51 59 51 18 5038 49 57 49 16 48 37 47 56 47 16 46 35 45 55 45 14 8 OO IO 50 57 50 18 49 38 48 58 48 19 47 38 46 59 46 20 45 4° 45 01 44 22 43 42 10 20 49 12 48 34 47 55 47 16 46 36 45 58 45 20 44 4i 44 03 43 26 42 47 42 09 20 30 47 25 46 47 46 09 45 31 44 54 44 '6 43 39 43 01 42 24 41 48 41 10 40 33 30 40 45 35 44 58 44 22 43 45 « 08 42 31 41 55 41 18 4o 43 40 07 39 31 38 55 40 50 43 43 43 07 42 31 41 55 41 20 40 44 40 10 39 35 38 59 38 25 37 5° 37 15 50 9 OO 41 48 41 13 40 38 40 03 39 3° 38 55 38 21 37 47 37 14 36 40 36 06 35 33 9 00 10 39 49 39 16 3842 38 09 37 37 37 04 36 31 35 58 35 25 34 54 34 22 33 50 10 20 • 37 49 37 17 36 45 36 13 35 4i 35 08 34 38 34 07 33 36 33 05 32 35 32 04 20 30 35 45 35 15 34 44 34 13 33 43 33 13 32 43 32 12 31 43 31 14 30 44 3° 15 30 40 33 39 33 10 32 40 32 II 31 42 31 13 30 45 30 16 29 49 29 21 2853 28 25 40 50 3t 3" 31 02 30 34 30 06 29 39 29 n 28 45 28 18 27 52 27 26 26 59 26 33 50 io 00 29 18 28 51 28 26 27 59 27 34 27 08 26 43 24 38 26 17 25 53 25 29 25 04 24 39 10 00 10 27 03 26 38 26 14 25 49 25 26 25 01 24 15 23 51 23 28 23 06 22 44 10 20 24 46 24 22 24 00 23 37 23 16 22 53 22 31 22 10 21 49 21 27 21 06 20 46 20 30 22 26 22 04 21 44 21 23 21 03 20 43 20 23 20 03 ■ 19 44 19 24 19 06 1847 30 40 20 03 19 44 19 2 5 19 07 18 48 18 30 18 13 17 55 17 37 17 20 17 °3 16 46 40 50 17 38 17 21 17 04 16 48 16 32 16 16 16 00 15 44 15 29 15 13 14 59 14 43 50 11 OO 15 " 14 56 14 42 14 27 14 13 14 00 13 46 13 33 13 19 13 06 12 53 12 40 11 00 10 12 42 12 30 12 18 12 06 11 53 n 42 11 31 II 19 II 09 10 57 10 45 io 34 10 20 10 12 10 02 9 51. 9 42 9 33 9 23 9 14 9 05 856 8 46 8 38 8 29 20 30 7 39 7 32 7 25 7 17 7 10 7 04 6 56 6 49 6 43 636 6 29 6 23 30 40 5 07 5 °3 4 57 4 52 4 47 4 43 4 38 4 34 4 28 4 25 4 20 , 4 16 40 50 2 34 2 31 2 29 2 26 2 24 2 22 2 19 2 16 2 15 2 12 2 10 2 07 50 12 OO 00 00 00 O 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 OS II 162 AZIMUTH OR TRUE BEARING. LATITUDE 39°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 39°. ' Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / ' / / u / / / / .u / / ll. Ml. 00 180 oo 180 00 180 00 00 00 00 00 00 00 00 00 O 00 io 145 45 134 40 116 17 89 13 61 48 42 58 31 33 24 27 19 43 16 23 13 55 12 02 IO 20 125 33 115 22 102 47 88 26 73 54 60 51 50 08 41 43 35 12 30 07 26 06 22 53 20 30 114 26 106 21 97 19 ll 38 77 50 68 25 59 5J 52 20 45 54 40 26 35 5° 31 5° 30 40 107 37 'iol 07 94 09 86 51 79 27 72 11 65 16 58 52 53 °2 47 49 4 3 *? 39 07 40 SO 102 57 97 35 91 55 86 03 80 07 74 13 68 29 63 00 57 51 53 04 48 46 44 40 50 1 00 99 29 94 55 90 09 85 16 80 18 75 21 70 28 65 43 61 09 5° 49 52 45 48 55 1 00 10 96 45 92 46 88 41 84 28 80 12 75 56 7i 41 °7 31 °3 27 59 3? 55 46 52 13 10 20 94 28 9058 87 21 83 40 79 5° 76 10 72 25 68 42 °5 °3 61 30 58 04 54 43 5°38 20 30 92 31 89 22 86 08 82 52 79 32 76 11 72 49 1 69 29 66 10 63$ 59 44 30 40 90 47 87 5« 85 02 82 03 79 03 76 01 72 58 69 56 66 55 60 59 58 061 40 50 89 13 86 36- 83 57 81 15 7» 30 75 45 72 57 70 11 67 24 6438 61 54 59 12 50 2 00 87 45 85 22 82 54 80 26 77 55 75 21 72 49 70 14 67 39 65 06 62 33 62 58 60 01 2 00 10 86 23 84 n 81 54 79 36 77 17 74 55 72 33 70 09 67 45 65 22 60 37 10 20 85 06 83 02 80 56 78 47 76 37 74 24 72 12 69 57 67 43 65 29 63 14 61 00 20 30 8352 81 56 79 57 77 5° 75 55 73 52 7i 47 69 41 67 35 °5 3i 63 21 61 14 30 40 82 41 80 51 78 59 77 06 75 11 73 15 71 18 69 20 67 21 65 21 63 21 61 20 40 SO 81 31 79 48 78 02 76 15 74 26 72 37 70 45 6854 67 01 65 08 63 14 61 20 50 3 00 80 24 7846 77 06 75 23 73 40 71 56 70 12 68 25 6638 64 50 63 02 61 13 3 00 . 10 79 17 77 43 76 08 74 3i 72 54 7i 14 °9 35 67 53 66 12 64 28 62 45 61 01 IO 20 78 12 76 42 75 " 73 39 72 06 70 31 68 56 67 19 65 42 64 04 62 25 60 45 20 30 77 07 75 40 74 14 72 45 71 16 °9 45 68 14 66 43 65 09 °3 35 62 00 60 25 30 40 76 03 74 40 73 17 71 52 70 26 69 00 °7 32 66 03 64 34 63 04 61 33 60 01 40 50 74 58 73 39 72 19 70 57 69 35 68 II 66 48 65 22 63 5° 62 30 61 03 59 34 50 4 OO 73 54 72 38 71 20 70 02 68 43 67 22 66 02 64 40 °3 17 °l 54 60 29 59 05 4 00 10 72 5° 71 36 70 21 69 06 °7 50 66 32 65 14 °3 55 62 35 61 15 59 54 58 32 10 20 71 46 70 34 69 22 68 09 6655 65 40 64 25 63 09 61 53 60 35 50 '? 583° 57 57 20 30 70 42 69 32 68 22 67 11 66 00 64 48 °3 35 62 21 61 07 59 52 57 20 30 40 69 37 68 30 67 22 66 13 65 04 63 54 62 44 61 32 60 20 59 07 57 54 56 40 40 50 68 32 67 26 66 20 65 14 64 07 62 59 61 51 60 41 59 31 58 21 57 °9 55 58 50 5 00 67 25 66 22 65 18 64 13 63 08 62 02 60 56 59 49 5841 57 32 5° 23 55 14 5 00 IO 66 18 °5 17 64 15 63 12 62 09 61 04 60 01 58 55 57 49 5° 43 55 36 54 28 10 20 65 11 64 12 63 11 62 10 61 09 60 06 59 °3 58 05 58 00 5656 55 51 54 46 53 40 20 30 64 03 63 05 62 06 61 06 60 07 59 06 57 °3 56 01 54 59 53 54 52 50 30 40 62 54 61 57 61 00 60 02 59 °4 58 05 57 05 5° 05 55 o4 54 °3 53 °l 51 59 40 50 61 44 60 48 59 53 58 56 57 59 57 °I 56 04 55 05 54 °° 53 °8 52 07 51 07' 50 6 00 60 33 5° 39 58 44 57 49 5° 53 55 57 55 02 54 04 53 07 52 09 51 10 50 11 6 OO 10 59 21 58 28 57 35 5° 4i 55 47 54 52 53 57 53 °i 52 06 51 °9 50 12 4 2 T l 10 20 58 08 57 1° 5° 25 55 31 54 38 53 45 52 52 51 57 51 °3 50 08 49 13 48 16 20 30 56 53 5° 03 55 12 54 20 53 29 52 3° 51 44 50 52 49 59 49 05 48 11 47 16 30 40 55 37 54 48 53 59 53 08 52 17 51 26 50 3° 49 45 48 52 48 00 47 °7 46 14 40 50 54 20 53 31 52 43 51 54 51 °5 5° 15 49 26 48 35 47 45 46 55 46 03 45 11 50 7 00 53 01 52 13 51 26 50 39 49 52 49 °3 47 48 48 14 47 25 46 36 45 4° 44 57 44 07 7 00 10 51 41 5° 55 50 08 49 21 48 03 48 35 47 °I 46 13 45 25 44 38 43 49 43 00 10 20 50 19 49 33 48 49 47 18 46 31 45 4° 45 °° 44 13 43 27 42 39 41 52 20 30 48 56 48 11 47 28 4° 43 45 59 45 14 44 3° 43 45 42 59 42 13 41 28 40 41 30 40 47 30 46 48 46 04 45 21 44 39 43 54 43 12 42 28 41 44 40 59 40 15 39 3° 40 50 46 03 45 21 44 39 43 57 43 15 42 33 41 51 41 °9 40 26 39 43 39 °° 38 16 50 8 00 44 34 43 53 43 13 42 32 41 52 41 10 40 30 39 48 39 ° 6 38 25 37 44 37 01 8 00 10 43 03 42 24 41 45 41 05 40 26 39 46 39 °° 38 26 37 46 37 °° 36 26 35 45 10 20 41 31 4° 53 40 14 39 36 3858 38 19 37 4i '37 °2 36 24 35 45 35 °° 34 26 20 30 39 56 38 20 39 20 38 42 38 05 37 28 3° 5i 3° 14 35 37 34 59 34 22 33 45 33 06 30 40 37 44 37 08 36 32 35 57 35 21 34 46 34 09 33 34 32 57 32 21 31 45 40 50 3fi 41 36 06 35 33 34 58 34 24 33 49 33 15 32 4° 32 06 31 32 30 57 30 22 50 9 00 35 01 34 28 33 54 33 21 32 48 32 15 31 42 31 °? 30 36 30 03 29 30 28 57 9 OO IO 33 18 32 46 32 15 31 43 31 12 30 40 30 08 29 36 29 05 28 34 28 02 27 31 10 20 31 33 31 °3 130 33 30 03 29 33 29 03 2833 28 02 27 32 27 °3 26 32 26 03 20 30 29 47 29 18 28 49 28 20 27 52 27 23 26 56 26 27 25 58 25 3° 25 01 24 33 30 40 27 59 27 31 27 04 26 37 26 10 25 42 25 17 24 49 24 22 23 56 23 29 23 02 40 50 26 07 25 42 25 17 24 51 24 26 24 00 23 35 23 11 22 45 22 20 21 55 21 29 50 10 00 24 15 23 51 23 28 23 04 22 41 22 17 21 53 21 29 21 06 20 43 20 20 1956 10 00 10 22 21 21 59 21 37 21 15 20 52 20 31 20 09 19 48 19 26 19 05 18 42 18 21 IO 20 20 26 20 05 ' 19 45 19 24 19 °4 1845 18 25 18 05 17 44 17 25 17 05 1° 45 20 30 18 28 18 09 17 51 17 33 17 14 16 55 16 38 16 20 16 02 15 44 15 26 15 08 30 40 16 29 16 13 15 56 15 39 15 23 15 ° 6 14 50 14 33 14 18 14 02 13 4° 13 3° 40 50 14 28 14 14 14 00 13 45 13 3° 13 16- 13 ° 2 12 47 12 33 12 19 12 05 II 51 50 11 00 12 27 12 14 12 02 11 49 11 37 11 24 II II 10 59 10 48 1° 35 10 23 10 11 11 00 IO 10 24 10 13 10 03 9 52 9 42 9 32 9 21 9 11 9 01 85° 8 40 8 30 10 20 8 21 8 12 8 03 7 55 7 47 7 38 7 30 7 22 7 13 7 05 '6 57 6 49 20 30 6 16 6 10 6 03 5 57 5 5i 5 44 5 38 5 32 5 26 5 19 5 13 5 07 30 40 4 " 4 06 4 °3 3 58 3 54 3 50 3 4° 3 4i 3 37 3 34 3 29 3 25 40 50 2 05 2 04 2 01 1 59 1 57 1 55 1 52 1 Si 1 49 1 47 1 45 1 43 50 13 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to Erst; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South ti East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West; When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 163 AZIMUTH CR TRUE BEARING. LATITUDE 39°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 39°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. ]>. in. 1 / / * / / / / / / / / h. m. OO OO 00 00 00 00 00 00 00 00 00 00 00 00 10 IO 32 g 21 8 20 7 31 6 48 6 11 5 39 11 08 5 11 4 46 4 24 4 °3 3 46 IO , 20 20 15 18 04 16 14 14 40 13 20 12 10 10 14 9 25 8 42 8 03 7 27 20 30 28 38 25 48 23 21 21 15 19 23 17 46 16 19 15 °2 13 53 12 51 11 54 11 01 30 40 35 32 32 20 29 32 27 °3 24 51 22 53 21 06 19 3° 18 04 16 45 15 33 14 27 40 SO 41 03 37 45 34 56 32 05 29 38 27 27 25 26 23 36 21 56 20 23 18 59 17 41 50 1 OO 45 24 42 08 39 <* 36 20 33 47 31 26 29 16 27 16 25 26 28 35 23 44 '22 IO 20 40 1 00 10 4851 45 4° 42 41 39 55 37 19 34 54 32 38 30 32 26 46 25 °3 23 27 10 20 51 33 48 29 45 36 42 53 40 18 37 52 35 34 33 25 31 23 29 28 27 4° 25 58 20 30 53 39 55 i» 50 46 47 59 45 20 42 48 40 24 3805 35 55 33 51 31 53 30 02 28 15 30 40 52 34 49 55 47 21 44 53 42 31 4° 15 38 04 36 00 34 °i 32 08 30 19 40 SO 56 34 53 59 51 27 49 00 46 36 44 19 42 05 39 56 37 52 35 52 ■33 58 32 08 SO 2 OO 57 32 55 05 52 41 50 20 48 02 45 48 43 37 41 31 39 28 37 3° 35 36 33 45 2 00 io 58 16 55 57 53 39 51 24 49 12 47 01 4» 03 44 55 42 51 40 52 38 54 37 °° 35 1° IO 20 58 47 56 35 54 24 52 15 50 08 46 00 43 59 42 01 40 06 38 14 36 24 20 30 59 °9 57 °3 54 57 52 54 5° 51 4851 46 52 44 55 43 °° 41 07 39 17 37 28 30 40 59 21 57 20 55 21 53 23 51 25 49 29 47 34 45 4° ' 43 48 41 58 40 10 38 23 40 50 59 25 57 32 55 37 53 44 51 51 49 59 48 07 46 17 44 28 42 40 4° 55 39 °9 50 3 OO 59 24 57 35 55 46 53 57 52 09 50 20 48 32 46 46 45 °° 43 15 41 3i 39 48 3 00 IO 59 18 57 33 55 48 54 04 52 19 5° 35 48 50 47 °7 45 24 43 42 42 00 40 20 10 20 59 06 57 25 55 44 54 °4 52 24 5° 43 49 °2 47 22 45 42 44 °3 42 24 4° 45 20 30 58 50 57. 13 55 36 54 °° 52 22 5° 45 49 08 47 31 45 54 44 16 42 40 41 04 30 40 58 3° 56 57 55 23 53 5° 52 17 5° 43 49 08 47 34 45 59 44 25 42 52 41 18 40 50 58 06 56 37 55 06 53 36 52 06 5° 35 49 °4 47 33 46 01 44 29 42 58 41 27 SO 4 OO 57 39 5° 13 54 47 53 19 5i 51 5° 24 48 55 47 27 45 58 44 28 43 °° 41 30 4 OO IO 57 09 55 47 54 23 52 59 51 34 50 08 48 42 47 17 45 51 44 23 42 56 41 3° IO 20 56 37 55 17 53 55 52 34 51 12 49 49 48 26 47 °2 45 39 44 15 42 5° 41 25 20 30 56 02 54 44 53 26 52 °7 50 48 49 27- 48 06 46 45 45 23 44 °I 42 39 41 16 30 40 55 25 54 °9 52 53 51 37 50 20 49 02 47 44 46 25 45 °6 43 45 42 25 41 °4 40 50 54 46 53 33 52 19 51 °4 49 5° 48 34 47 17 46 01 44 44 43 26 42 07 40 49 50 5 00 54 04 52 53 51 41 50 29 ' 49 16 48 02 46 48 45 34 44 19 43 °3 4238 41 47 4° 31 5 00 10 53 20 52 11 51 01 49 51 48 40 47 29 46 17 45 °5 43 52 41 24 40 09 IO 20 52 34 51 27 5° 19 49 12 48 29 48 02 46 53 45 43 44 33 43 22 42 10 40 58 39 45 2Q 30 51 46 5° 41 49 35 47 23 46 15 45 07 43 59 42 50- 41 4° 40 29 39 18 30 40 5° 57 49 53 48 49 47 45 46 40 45 34 44 28 43 22 42 14 41 06 39 58 38 48 40 50 5° 05 49 °3 48 01 46 59 45 55 44 52 43 48 42 43 41 38 4° 31 39 24 38 16 50 6 OO 49 13 48 12 47 12 46 11 45 1° 44 °7 43 °5 42 01 4° 57 39 53 38 48 37 42 6 00 IO 48 17 47 18 46 20 45 21 44 21 43 20 42 19 41 18 4° 15 39 13 38 09 37 °6 IO 20 47 20 46 24 45 27 44 29 43 31 42 32 41 32 40 32 39 33 38 32 37 3° 36 28 20 30 46 22 45 26 44 31 43 35 42 38 41 41 4° 43 39 45 38 4° 37 47 3648 35 47 30 40 45 22 44 28 43 34 42 39 41 44 40 49 39 53 3856 37 59 37 01 36 °3 35 °5 40 50 44 20 43 28 42 35 41 42 40 49 39 54 39 00 38 05 37 °9 36 13 35 17 34 20 50 7 OO 43 16 42 25 41 34 4° 43 39 51 3858 38 05 37 12 36 18 ' 35 24 34 29 33 33 7 OO IO 42 11 41 21 4° 31 3 2 4 2 38 51 38 00 37 °9 36 17 35 24 34 31 33 38 32 45 10 20 41 04 40 16 39 27 38 38 37 5° 37 °i 36 11 35 21 34 29 33 38 32 46 31 55 20 30 39 56 39 °9 38 22 37 35 36 47 35 59 35 11 34 22 33 33 32 43 31 54 31 °3 30 40 38 46 38 00 37 15 36 29 35 42 34 56 34 1° 33 23 32 35 31 47 3° 59 30 10 40 50 37 34 36 5° 36 °5 35 21 34 37 33 52 33 °7 32 21 31 35 30 48 30 02 29 15 50 8 00 36 20 35 37 34 55 34 11 33 29 32 45 32 01 31 18 3° 33 29 49 29 °3 28 19 8 00 IO 35 °4 34 23 33 42 33 °i 32 20 31 38 3° 56 3° 14 29 3° 2847 28 04 27 20 10 20 33 47 33 °7 32 28 31 49 31 09 30 28 29 48 29 °7 28 26 27 45 27 03 26 20 20 30 32 29 31 51 31 12 3° 35 29 57 29 17 28 38 27 59 27 20 26 39 26 00 25 20 30 40 31 09 3° 32 29 56 29 19 28 43 28 05 27 28 26 50 26 12 25 34 24 56 24 17 40 50 29 48 29 12 28 37 28 02 27 27 26 51 26 15 25 39 25 °3 24 27 23 5° 23 13 50 9 00 28 24 27 50 27 17 26 43 26 09 25 36 25 02 24 27 23 53 23 18 22 43 22 08 9 OO 10 26 59 26 27 25 54 25 23 24 51 24 19 23 46 23 14 22 41 22 08 21 35 21 01 10 20 25 33 25 °3 24 32 24 02 23 31 23 01 22 30 21 59 21*29 20 57 20 25 't 54 . 20 30 24 05 23 36 23 07 22 39 22 11 21 42 21 12 2° 43 20 14 19 45 19 15 18 46 30 40 22 36 22 09 21 41 21 15 20 48 20 21 19 54 19 26 18 59 18 31 18 04 17 36 40 50 21 05 20 40 20 14 19 49 19 24 18 58 18 33 18 08 17 42 17 16 16 51 16 24 50 10 OO 19 33 19 09 18 46 18 23 17 59 17 35 17 12 16 49 16 25 16 01 15 37 15 13 IO OO IO 18 00 17 38 17 17 16 55 16 33 16 12 IS 5° 15 28 15 °6 14 45 14 22 14 00 10 20 16 26 16 06 15 47 15 26 15 °7 14 48 14 28 14 08 13 47 13 27 13 °6 12 46 20 30 14 50 14 32 14 14 13 57 13 39 13 21 13 °3 12 46 12 27 12 09 11 5i 11 32 30 40 13 14 12 58 12 42 12 26 12 10 11 54 11 38 II 22 11 05 10 49 10 33 10 17 40 50 II 37 11 22 1 11 09 10 55 10 41 10 26 10 13 9 59 9 44 9 3° 9 15 9 01 50 11 OO 9 59 9 46 9 34 9 22 9 11 8 59 8 46 8 35 8 22 8 09 7 57 1 4 § 11 00 10 8 20 8 09 7 59 7 49 7 4° 7 3° 7 20 7 °9 7 00 6 49 6 38 6 28 10 20 6 41 6 33 6 24 6 17 6 09 6 00 5 52 5 44 5 36 5 28 5 19 5 11 20 30 5 °i 4 54 4 49 4 43 4 37 4 3° 4 24 4 18 4 12 4 06 4 00 3 53 30 40 3 21 3 17 3 13. 3 °9 3 °5 3 °i 2 57 2 52 2 48 2 44 2 40 2 36 40 SO 1 4i 1 39 1 37 1 34 1 32 1 3° 1 29 I 27 1 25 I 22 1 20 1 18 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West, In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 164 AZIMUTH OR TRUE BEARING. LATITUDE 39°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 39°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. ill. o / / / t / 1 / / / / / n. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 3 29 3 13 3 00 2 47 2 35 2 24 2 14 2 04 156 1 47 1 40 10 20 6 55 6 25 5 58 5 33 5 09 448 4 28 4 09 3 50 3 34 318 20 30 io 15 9 31 852 8 14 7 40 7 08 6 38 6 11 5 44 5 19 4 5° 30 40 13 27 12 32 11 40 10 51 10 07 9 25 8 46 8 10 7 36 7 02 6 32 40 50 16 29 15 22 14 19 13 22 12 28 11 37 10 50 10 05 9 23 8 43 8 06 50 1 00 19 19 18 03 16 52 15 4° 14 43 13 44 12 49 11 57 11 08 10 21 9 37 1 OO 10 21 58 20 34 19 '5 18 01 16 51 15 44 14 42 13 44 12 48 11 55 11 05 10 20 24 23 22 53 21 27 20 07 18 50 17 38 16 30 15 26 14 24 13 25 12 30 20 30 26 35 25 00 23 30 22 04 20 42 19 26 18 12 17 02 15 55 14 51 13 51 30 40 28 35 2656 25 22 23 53 22 27 21 05 19 47 18 33 17 21 16 13 15 07 40 50 30 21 28 41 27 04 25 32 24 02 22 36 21 15 19 57 18 41 17 29 16 19 50 2 00 ^31 59 30 16 28 37 27 02 25 30 24 01 22 37 21 15 19 56 18 40 17 28 2 OO IO 33 23 31 40 29 59 28 23 26 49 25 19 23 51 22 28 21 06 19 47 18 31 10 20 34 38 32 54 31 13 29 36 28 01 26 29 24 59 23 33 22 10 20 48 19 30 20 30 35 43 34 00 32 19 3° 41 29 06 27 33 26 02 24 34 23 08 21 46 20 25 30 40 36 39 34 56 33 16 31 38 30 03 28 29 26 57 25 29 24 02 22 38 21 15 40 50 37 25 35 46 34 "7 32 29 30 53 29 20 27 48 26 18 24 50 23 24 22 01 50 3 00 38 08 36 27 34 49 33 12 31 37 30 04 28 32 27 02 25 33 24 07 22 42 3 00 10 38 42 37 °3 35 25 33 50 32 15 32 48 3° 43 29 11 27 40 26 12 24 45 23 19 10 20 39 08 37 31 35 55 34 21 31 15 29 44 28 14 26 46 25 19 23 53 20 30 39 30 37 54 36 21 34 47 33 15 31 43 3° 13 28 44 27 15 25 47 24 22 30 40 39 44 38 12 3640 35 °8 33 37 32 06 3° 36 29 08 27 39 26 12 24 47 40 50 39 56 3824 36 54 35 24 33 54 32 24 30 56 29 28 28 00 26 34 25 09 50 4 00 40 02 3832 37 °3 35 35 34 °° 32 38 31 11 29 44 28 17 26 51 25 27 4 OO 10 40 03 38 35 37 °8 35 41 34 15 32 48 31 22 29 57 28 30 27 05 25 41 10 20 40 00 38 35 37 1° 35 44 34 20 32 54 31 29 30 05 28 40 27 16 25 52 20 30 39 54 38 30 37 07 35 43, 34 21 32 57 31 33 30 10 28 47 27 23 26 00 30 40 39 44 38 23 37 °l 35 39 34 17 32 55 31 33 30 11 28 48 27 26 26 05 40 50 39 30 38 11 36 51 35 32 34 12 32 5° 31 3° 30 10 28 48 27 28 26 06 50 5 OO 39 14 37 56 36 39 35 20 34 01 32 43 31 24 30 05 2845 27 25 26 06 5 OO 10 38 55 37 38 36 22 35 "7 33 50 32 32 - 31 15 29 57 28 39 27 20 26 02 10 20 38 32 37 18 36 04 34 5° 33 35 32 18 31 02 29 46 28 30 27 13 25 5° 20 30 38 06 3 5 s i 35 42 34 3° 33 1° 32 02 30 48 29 34 28 18 27 02 25 47 30 40 37 4° 36 28 35 18 34 °7 32 55 31 43 30 30 29 18 28 04 26 49 25 35 40 50 37 10 36 00 34 52 33 42 32 32 31 21 30 10 28 59 27 47 26 34 25 22 50 6 OO 36 37 35 3° 34 23 33 15 32 07 3058 29 48 28 39 27 28 26 17 25 °5 6 00 10 36 02 34 56 33 51 32 45 31 40 30 31 29 23 28 16 27 06 25 57 24 48 10 20 35 26 34 22 33 18 32 14 31 10 30 03 28 57 27 51 26 43 25 35 24 28 20 30 34 46 33 45 32 43 31 41 30 38 29 33 28 29 27 24 26 18 25 12 24 05 30 40 34 05 33 05 32 05 31 04 30 03 29 26 29 00 27 58 26 55 25 5i 24 46 23 41 40 60 33 22 32 24 31 26 30 26 28 26 27 25 26 23 25 21 24 18 23 16 50 7 00 32 38 31 41 30 44 29 46 28 49 27 50 26 50 25 51 24 50 23 49 22 48 7 00 IO 31 51 30 55 30 00 29 05 28 09 27 12 26 14 25 17 24 17 23 18 22 18 10 20 31 03 30 10 29 16 28 22 27 27 26 32 25 36 24 40 23 43 22 45 21 48 20 30 30 13 29 21 28 30 27 37 26 44 25 51 24 57 24 02 23 06 22 11 21 15 30 40 29 21 28 30 27 41 26 51 26 00 25 08 24 15 23 23 22 29 21 35 20 41 40 50 28 28 27 39 26 51 26 02 25 13 24 23 23 32 22 41 21 50 20 57 20 05 50 8 00 27 33 26 46 26 00 25 12 24 25 23 3 6 22 48 21 59 21 08 20 18 19 29 8 OO 10 26 37 25 51 25 06 24 22 23 36 22 49 22 02 21 15 20 27 19 38 18 50 10 20 25 38 24 55 24 12 23 28 22 44 22 00 21 15 20 30 19 43 18 5° 18 10 20 30 24 39 23 57 22 58 23 17 22 35 21 52 21 10 20 26 19 43 18 58 18 14 17 29 30 40 23 39 22 19 21 39 20 59 20 18 19 37 'S 5 ! 18 13 17 30 16 47 40 50 22 37 21 59 21 21 20 43 20 04 19 25 18 45 18 06 17 25 16 45 16 04 50 9 00 21 33 20 56 20 21 19 45 19 08 18 31 17 53 17 16 16 38 15 59 15 20' 9 OO IO 20 28 19 54 19 20 18 46 18 11 17 3° 17 00 16 24 15 48 Tt5 11 14 37 10 20 19 22 18 50 18 18 17 46 17 13 16 39 16 05 15 32 14 57 14 23 13 49 20 30 18 16 17 45 17 15 16 44 16 13 15 42 15 1° 14 39 14 06 13 34 13 00 30 40 17 08 16 39 16 10 15 42 15 13 14 44 14 14 13 1° 13 45 13 14 12 43 12 13 40 50 15 58 15 32 15 06 14 39 14 12 13 44 12 49 12 20 11 52 II 24 50 io 00 14 49 14 24 14 00 13 34 13 10 12 44 12 19 11 53 II 27 11 00 10 34 IO OO 10 13 38 13 15 12 53 12 30 12 07 11 43 11 19 10 56 10 32 10 08 9 44 10 20 12 26 12 05 11 45 11 25 11 04 10 42 10 20 9 59 9 37 9 14 8 52 20 30 11 14 10 55 10 37 10 17 9 59 9 4° 9 20 9 01 8 41 8 21 8 01 30 40 10 01 9 44 9 27 9 II 8 54 8 37 8 20 8 03 7 44 7 27 7 09 40 50 847 8 32 8 18 8 03 7 48 7 34 7 18 7 04 6 48 6 32 6 16 50 11 00 7 33 7 20 7 °7 6 55> 6 43 6 30 6 17 6 03 5 50 5 37 5 23 11 00 10 6 18 6 07 5 57 5 47 5 36 5 25 5 15 5 °4 4 53 4 41 4 3° 10 20 5 02 4 55 4 46 4 38 4 30 4 20 4 12 4 03 3 54 256 3 4° 3 37 20 30 3 48 3 41 3 34 3 29 3 22 3 16 3 09 3 02 2 49 2 42 30 40 2 32 2 27 2 23 2 19 ■ 1 08 ' 2 10 2 06 2 02 1 58 1 53 1 48 40 SO I 16 1 14 1 12 1 10 I 06 1 03 1, 01 59 ° 57 54 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from South to "West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 165 AZIMUTH OR TRUE BEARING. LATITUDE 40°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 40°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / / / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 O OO 10 171 46 171 17 170 47 170 10 169 29 168 39 167 41 166 30 165 04 163 13 160 50 157 35 10 20 163 46 162 54 161 65 160 47 159 3° 158 00 156 15 154 10 151 4i 148 37 144 5° 140 02 20 30 156 14 155 01 153 39 152 09 150 25 148 28 146 12 143 3° 1*5 33 13658 132 44 127 43 30 40 149 15 147 48 146 12 144 25 142 25 140 12 137 41 134 51 131 38 127 58 123 49 119 06 40 oO 142 56 • Hi 19 139 34 137 37 135 3° 133 °9 13° 33 127 42 124 31 121 00 117 07 112 50 50 1 00 137 14 135 32 133 42 131 42 129 32 127 11 124 37 121 49 118 47 "5 3° in 56 I08 05 1 OO 10 132 08 130 23 128 31 126 32 124 22 122 04 "9 35 116 56 114 04 in 02 107 46 I04 18 10 20 127 34 125 50 123 59 122 00 119 54 117 41 115 18 112 47 no 07 107 18 104 19 101 II 20 30 123 27 121 44 "9 55 118 01 "5 59 113 52 in 3° 109 14 106 45 104 08 101 24 98 32 30 40 "9 45 118 04 116 19 114 28 112 31 no 30 108 21 106 07 103 48 101 22 98 51 96 14 40 SO 116 23 "4 45 113 °3 in 17 109 25 107 29 105 29 103 23 101 13 98 57 96 37 94 II 50 2 00 113 19 I" 45 no 06 108 24 106 38 104 48 i°2 53 l°0 55 98 52 96 45 94 35 92 20 2 OO 10 no 31 108 59 107 25 105 47 104 04 102 20 100 31 98 39 96 44 94 45 92 42 9° 37 lO 20 l°7 55 106 27 104 56 103 22 101 45 100 05 98 22 9°36 94 47 92 55 9° 59 89 02 20 30 105 30 104 06 102 37 101 07 99 34 97 59 96 21 94 4° 92 5° 91 11 89 22 87 31 30 40 103 15 101 53 100 28 99 01 97 32 96 01 94 28 92 52 91 14 89 33 87 5° 86 05 40 50 101 08 99 48 98 27 97 °4 95 38 94 11 92 41 91 °9 8936 88 00 86 23 84 43 SO 3 00 99 07 97 50 9° 32 95 12 93 49 92 25 9° 59 89 32 88 03 86 31 8458 8324 3 00 10 97 12. 95 58 94 42 93 25 92 05 9° 45 89 22 87 58 86 33 85 06 83 37 82 07 lO 20 95 22 94 11 92 57 91 43 90 26 89 08 87 49 86 28 85 06 83 43 82 18 80 51 20 30 93 37 92 28 91 17 90 04 8850 8736 86 19 85 01 83 43, ■ 82 22 81 01 79 39 30 40 91 56 90 48 89 40 88 29 87 18 86 06 8452 83 37 82 21 81 04 79 46 78 26 40 SO 90 17 89 12 88 06 86 57 85 47 8438 83 27 82 15 81 01 79 47 7831 77 14 SO 4 00 88 42 87 38 8633 85 27 84 20 83 12 82 04 80 54 79 43 78 31 77 18 76 03 4 00 10 5 7 °? 86 06 85°3 83 59 8253 81 48 80 41 79 33 78 24 77 15 76 °5 74 54 lO 20 l 53 l 84 3° 2 33 § 82 33 81 29 80 25 79 20 78 14 77 °7 76 01 74 52 73 43 20 30 84 08 83 08 82 08 81 07 80 05 79 03 78 00 7656 75 52 74 46 73 4° 72 33 30 40 82 40 81 41 80 42 79 43 78 43 77 43 76 40 75 39 74 36 73 32 72 28 7i 23 40 SO 81 12 80 15 79 18 78 19 77 21 76 22 75 22 74 21 73 20 72 19 71 16 70 13 50 5 00 79 45 78 49 77 53 76 57 76 00 75 °2 74 04 73 °4 72 05 71 °5 70 04 69 03 5 OO lO 78 19 77 25 76 30 75 34 74 39 73 42 72 45 71 48 70 49 69 50 68 51 67 51 10 20 76 53 76 00 75 °7 74 11 73 17 72 22 71 27 70 30 69 33 6836 67 38 66 40 20 30 75 28 74 36 73 43 72 49 7i 5° 71 02 70 07 69 12 68 17 67 21 66 24 65 28 30 40 74 02 73 1° 72 19 71 27 70 34 69 42 68 48 67 54 67 00 66 06 65 10 64 15 40 50 72 37 71 46 70 56 70 04 69 13 68 22 67 29 66 36 °5 44 64 50 63 56 63 02 50 6 OO 71 10 70 21 %H 68 41 67 5° 67 00 66 08 65 17 64 25 °3 33 62 40 61 48 6 OO 10 69 44 68 55 68 06 67 16 66 27 °5 37 64 47 63 57 63 06 62 15 61 23 60 32 10 20 68 16 67 28 66 40 65 53 65 °3 °4 15 63 25 62 37 61 47 60 57 60 06 59 15 20 30 66 48 66 01 65 14 64 26 °3 39 62 51 62 03 61 14 60 25 59 37 58 47 57 59 30 40 65 19 64 33 63 46 63 00 62 12 61 25 60 38 59 51 59 °3 58 16 57 28 56 39 40 SO °3 50 63 04 62 18 61 32 60 46 60 00 59 14 58 27 57 41 56 53 56 °7 55 20 50 7 OO 62 18 61 33 60 48 60 03 59 17 58 33 57 47 57 °2 56 16 55 3° 54 44 53 58 7 OO lO 60 45 60 00 59 1° 58 32 ■57 48 57 °3 55 19 55 34 54 5° 54 °5 53 20 52 34 lO 20 59 10 58 27 57 44 57 °° 56 17 55 33 54 5° 54 06 53 22 52 39 5i 55 51 10 20 30 57 35 56 52 56 10 55 27 54 44 54 °2 53 19 52 36 51 54 51 1° 50 27 49 44 30 40 55 57 55 15 54 33 53 52 53 1° 52 28 51 47 51 05 5° 23 49 4i 48 58 48 17 40 SO 54 17 53 36 52 55 52 15 51 33 5° 53 50 12 49 31 48 51 48 09 47 29 46 48 50 8 00 52 34 51 55 51 15 5° 35 49 55 49 15 48 35 47 56 47 16 46 36 45 56 45 16 8 OO 10 50 52 50 12 49 33 48 55 48 15 47 36 46 57 46 19 45 39 45 °i 44 23 43 44 10 20 49 06 46 27 47 5° 47 11 46 33 -45 55 45 17 1 44 39 44 02 43 24 42 46 42 °9 20 30 47 18 46 40 46 03 45 26 44 48 44 12 43 35 42 58 42 22 41 46 41 09 40 32 30 40 45 27 44 51 44 15 43 38 43 °2 42 26 41 5° 41 15 40 39 40 05 39 29 38 54 40 50 43 34 42 59 42 24 41 48 41 14 4° 39 40 04 39 3° 38 55 38 22 37 47 37 13 50 9 00 41 38 41 04 40 30 39 5° 39 22 3848 -38 15 37 42 37 °9 3636 36 °3 35 31 9 00 10 39 40 39 °7 38 34 38 01 37 28 365° 36 24 35 53 35 20 34 5° 34 18 33 46 10 20 37 39 37 °° 36 36 36 °5 35 34 35 02 34 31 34 °l 33 3° 33 °° 32 3° 32 00 20 30 35 34 35 04 34 34 34 °4 33 34 33 °5 32 35 32 06 31 38 31 I" 3° 41 3° 13 30 40 33 29 33 °° 32 30 32 02 31 34 31 °5 30 37 30 09 29 42 29 15 28 48 28 22 40 SO 31 19 3° 52 3° 25 29 57 29 31 29 03 28 38 28 12 27 45 27 20 26 55 26 29 50 10 00 29 07 28 42 28 16 27 5° 27 25 27 00 26 35 26 11 25 46 25 23 24 59 24 36 10 00 10 26 52 26 28 26 04 25 4° 25 17 24 54 24 30 24 08 23 46 23 23 23 01 22 39 lO 20 24 36 24 13 23 51 23 28 23 °7 22 46 22 25 22 03 21 43 21 22 21 02 20 42 20 30 22 x6 21 56 21.35 21 15 2° 55 20 36 20 16 19 57 19 38 19 20 19 01 18 43 30 40 19 54 19 35 19 17 18 59 18 41 18 23 18 06 17 49 17 32 17 15 16 58 16 41 40 50 17 3° 17 13 16 57 16 41 16 25 16 10 15 54 15 39 15 24 15 °9 14 55 14 40 50 11 00. 15 03 14 49 14 36 14 21 14 08 13 55 11 38 13 41 13 28 13 15 13 02 12 50 12 37 11 OO 10 12 36 12 24 12 12 12 00 11 48 11 26 11 15 11 04 1° 54 1° 43 10 32 lO 20 10 06 9 57 948 9 38 9 29 9 20 9 11 9 02 8 53 8 44 8 36 8 27 20 30 7 36 7 29 7 22 7 15 7 07 7 00 6 54 6 47 6 40 6 33 6 27 6 21 30 40 5 05 4 59 4 55 4 5° 4 45 4 4° 4 3° 4 32 4 27 4 22 4 19 4 14 40 50 2 3 2 2 3° 2 27 2 25 2 22 2 20 2 18 2 16 2 14 2 12 2 09 2 07 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to Bast- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' , When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and- the supplement of the tabulated azimuth is to be taken for the required true bearing. 166 AZIMUTH OR TRUE BEARING. I.AXITITDE 40°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 40°. Hour Angle. 36° 37° SB 39° 40° 41° 42° 43° 44° 45° 46° 470 Hour Angle. b. in. O 1 / / / / / t / / / / / li. m. OO 180 oo 180 00 180 00 180 00 00 00 00 00 00 00 00 00 10 153 00 146 06' 135 02 116 36 89 12 88 24 61 27 42 31 31 09 24 06 19 24 16 06 13 4° 10 20 133 53 125 54 115 39 102 56 73 39 60 27 49 41 41 15 34 44 29 4i 25 42 20 30 121 44 114 42 106 33 97*4 87 35 77 38 68 06 59 27 51 52 45 23 39 55 . 35 20 30 40 113 46 107 48 101 15 94 11 ¥"■1 79 17 71 55 64 55 5826 52 33 47 18 42 40 40 50 108 09 103 05 97 38 91 55 8558 79 57 73 58 68 09 62 36 57 23 52 33 48 09 SO 1 00 103 58 99 34 94 57 ■ 90 08 85 10 80 08 75 °° 70 09 65 20 60 43 56 20 52 14 1 OO 10 100 38 96 48 92 46 88 36 84 21 80 02 75 41 71 23 67 09 63 01 59 °4 55 16 IO 20 97 54 94 29 90 56 87 16 83 32 79 45 75 56 72 07 68 21 64 39 61 03 57 33 20 30 95 34 92 29 89 18 86 02 82 43 79 20 75 56 72 31 69 08 65 46 62 29 59 15 30 40 93 31 90 43 8750 84 53 81 53 78 5° 75 4° 72 41 69 36 66 31 °3 30 60 31 40 50 91 42 89 07 86 30 8348 81 04 78 17 75 29 72 43 69 50 67 00 °4 13 61 27 50 2 00 90 01 87 39 85 13 8245 80 13 77 41 75 06 72 30 °9 54 67 17 64 41 62 06 2 00 10 88 27 86 16 84 oo 81 43 79 23 77 02 74 38 72 14 69 48 67 22 64 56 62 32 10 20 87 01 84 57 &2 51 80 43 78 33 76 21 74 07 71 52 69 37 67 21 65 04 62 47 20 30 85 37 8342 81 43 79 43 77 41 75 38 73 33 71 26 69 19 67 11 65 03 62 55 30 40 84 18 82 29 80 38 78 45 76 50 74 54 72 56 70 57 68 57 66 56 64 55 62 54 40 50 83 02 81 IS 79 33 77 46 75 58 74 09 72 17 70 25 6831 6637 64 42 62 46 50 3 00 81 47 80 09 78 29 76 48 75 05 73 22 71 3° 69 50 68 02 66 14 64 24 62 35 3 OO 10 80 35 79 02 77 26 75 5° 74 12 72 33 70 53 69 12 67 30 65 47 64 02 62 17 10 20 79 24 77 55 76 23 74 52 73 19 71 44 70 09 6832 6655 65 16 °3 37 61 56 20 30 78 14 76 49 75 21 73 54 72 25 70 55 °9 23 °7 51 66 18 64 43 63 08 61 32 30 40 77 05 75 43 74 19 72 56 71 30 70 03 6835 67 08 65 38 64 07 62 36 61 04 40 50 75 57 74 37 73 18 71 57 70 34 69 11 °7 47 66 22 64 56 63 30 62 02 60 34 50 4 00 74 48 73 33 72 16 70 57 69 38 68 19 6658 6536 64 13 62 49 61 25 60 00 4 OO 10 73 4° 72 27 71 13 6958 68 41 67 25 66 06 64 47 63 28 62 07 60 45 59 23 10 20 72 33 71 22 70 10 6857 67 44 66 29 65 14 6358 62 41 61 24 60 04 58 45 20 30 71 26 70 17 69 07 6756 66 45 65 34 64 21 63 07 61 53 60 37 59 21 58 05 30 40 70 17 69 11 68 03 66 56 65 46 64 37 63 27 62 15 61 03 59 5° 58 37 57 23 40 50 69 09 68 05 «59 65 53 64 46 6338 62 31 61 21 60 11 59 °i 57 49 5638 50 5 00 68 00 66 58 65 54 64 50 63 45 62 40 61 33 60 26 59 18 58 09 57 °° 55 51 5 OO 10 6651 65 50 64 48 63 45 62 43 61 39 60 35 59 29 58 24 57 18 56 10 55 03 IO 20 65 4i 64 42 63 41 62 41 61 40 60 38 59 35 58 32 57 28 , 56 24 55 18 54 13 20 30 64 30 63 33 62 34 61 35 60 35 59 35 58 34 57 33 5° 31 55 28 54 25 53 21 30 40 63 19 62 22 61 25 60 28 59 3° 58 32 57 32 56 32 55 32 54 31 53 29 52 27 40 50 62 07 61 12 60 17 59 21 58 24 57 27 56 29 55 31 54 32 53 33 52 33 51 33 50 6 00 60 54 60 01 59 °° 58 11 57 1° 56 21 55 25 54 28' 53 31 52 33 51 34 5° 36 6 OO 10 59 40 58 47 57 54 57 01 56 07 55 13 54 18 53 23 52 28 51 31 5° 35 49 38 10 20 58 24 57 33 56 42 55 50 54 57 54 05 53 11 52 18 51 23 50 29 49 33 48 37 > 20 30 57 09 56 19 55 28 54 37 53 46 52 54 52 02 51 1° 5° 17 49 24 48 30 47 3° 30 40 55 51 55 01 54 12 S2 56 53 23 52 33 51 43 5° 52 50 01 49 1° 48 17 47 25 46 33 45 28 40 50 54 32 53 44 52 07 51 18 50 29 49 4° 48 51 48 01 47 1° 46 19 50 7 00 53 12 52 25 51 37 50 5' 50 °3 49 16 48 27 47 39 46 50 46 01 45 11 44 21 7 00 10 51 50 5' °4 50 18 49 32 48 45 47 59 47 12 4° 25 45 38 44 5° 44 02 43 13 10 20 50 26 49 42 48 57 48 12 47 27 46 41 45 5° 45 1° 44 24 43 38 42 51 42 04 20 30 49 02 48 18 47 34 46 51 46 07 45 23 44 38 43 54 43 °8 42 23 41 08 41 38 4° 53 30 40 47 35 46 53 46 10 45 28 44 45 44 02 43 18 42 35 41 52 40 24 39 4° 40 50 46 06 45 26 44 44 44 °3 43 21 42 40 41 58 41 16 4° 33 39 5i 39 °8 38 26 50 8 00 44 36 43 56 43 16 42 36 41 56 41 15 4° 35 39 54 39 '13 38 32 37 5° 37 °9 8 00 10 43 05 42 26 41 46 41 08 40 29 39 50 39 1° 38 31 3 ? s l 37 11 36 32 35 51 IO 20 4i 31 40 54 40 15 39 38 39 0° 38 22 37 45 37 °7 3° 28. 35 49 35 11 34 33 20 30 39 56 39 20 38 43 38 06 37 30 36 54 3° 17 35 4° 35 °2 34 26 33 49 33 11 30 40 38 19 37 44 37 08 36 33 35 58 35 23 34 47 34 12 33 36 33 °° 32 25 31 49 40 50 36 39 36 06 35 31 34 58 34 24 33 49 33 16 32 42 32 08 31 34 31 °° 30 26 50 9 00 34 58 34 26 33 53 33 20 32 48 32 16 31 43 30 08 31 10 3° 37 3° °5 29 32 28 59 9 00 10 33 15 32 45 32 12 31 41 31 10 30 40 29 37 29 06 28 35 28 03 27 33 10 20 31 3° 31 01 30 3° 30 01 29 31 29 02 28 32 28 02 27 33 27 °4 2° 33 26 05 20 30 29 43 29 15 28 46 28 18 27 50 27 23 26 54 26 26 25 58 25 3° 25 02 24 35 30 40 27 54 27 27 27 00 26 34 26 08 25 42 25 15 24 48 24 22 23 56 23 29 23 03 40 50 26 03 . 25 38 25 13 24 48 24 23 23 59 23 34 23 09 22 44 22 20 21 55 21 31 50 10 00 24 12 23 48 23 25 23 01 22 38 22 15 21 52 21 29 21 06 20 42 20 19 19 5° 10 00 10 22 17 21 55 21 33 21 12 20 50 20 29 20 08 19 47 19 24 19 °3 1843 18 21 10 20 20 22 20 02 19 41 19 22 19 02 18 42 18 22 18 02 17 43 17 24 17 °4 16 45 20 30 18 24 18 06 17 47 17 30 17 12 16 54 1636 16 18 16 01 15 44 15 25 15 °8 30 40 16 25 16 09 15 53 15 37 15 20 15 04 14 48 14 33 14 17 14 01 13 4° 13 3° 40 60 14 25 14 11 13 56 13 42 13 28 13 14 13 00 12 45 12 32 12 18 12 04 II 5° 50 11 00 12 24 ■ 12 11 " 59 11 47 11 35 11 23 II II 10 58 10 46 1° 34 10 23 10 10 11 00 10 10 21 10 12 10 00 9 50 9 4" 9 30 9 20 9 10 8 59 8 5° 8 40 8 29 10 20 8 18 8 10 8 02 7 53 7 45 7 37 7 29 7 20 7 13 7 04 656 6 49 20 30 6 14 6 09 6 02 5 56 5 49 5 43 5 37 5 31 5 24 5 19 5 13 5 °7 30 40 4 10 4 06 4 01 3 58 3 53 3 49 3 44 3 41 3 37 3 33 3 28 3 24 40 50 2 05 2 03 2 01 1 59 1 57 1 54 1 52 1 50 1 48 1 47 1 45 1 43 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; a.id when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 167 AZIMUTH OR TRUE BEARING. LATITUDE 40°. DECUNATION- SAME NAME AS-I52 29 45 28 36 27 26 26 16 25 "5 10 20 35 47 34 43 33 39 32 34 31 29 30 23 29 17 28 10 27 02 25 53 24 45 20 30 35 06 34 °5 33 °3 32 00 3° 56 29 52 28 47 27 41 26 36 25 29 24 22 30 40 34 24 33 24 32 24 31 22 30 21 29 18 28 15 27 II 1 26 08 25 °3 23 57 40 50 33 40 32 42 31 42 3° 44 29 44 2843 27 42 26 40 25 37 24 35 23 3i 50 7 00 32 54 31 58 31 00 30 02 29 °5 28 06 27 07 26 06 25 °5 24 04 23 °3 7 00 10 32 06 31 11 30 16 29 20 28 23 27 26 26 29 25 31 24 31 23 32 22 32 10 20 31 16 3° 23 29 30 28 39 27 42 -26 46 25 5° 24 54 23 5° 22 59 22 00 20 30 30 26 29 35 2843 27 5° 26 57 26 04 25 10 24 15 23 19 22 24 21 27 30 40 29 33 2843 =7 53 27 °3 26 11 25 20 24 27 23 35 22 41 21 47 20 53 40 50 28 39 27 51 27 02 26 14 25 25 24 34 23 44 22 53 22 01 21 09 20 16 SO 8 00 27 43 2658 26 10 25 23 24 3° 23 47 22 59 22 10 21 20 20 29 19 38 8 00 10 26 46 26 02 25 16 24 32 23 46 23 00 22 13 21 25 20 37 19 49 19 00 lO 20 25 48 25 °5 24 22 23 38 22 54 22 10 21 24 20 39 19 53 19 08 19 06 18 19 20 30 24 48 24 07 23 25 22 43 22 02 21 18 20 35 19 52 18 23 17 38 30 40 23 46 23 06 22 27 21 47 21 06 20 26 19 45 19 03 18 21 17 38 16 55 40 50 22 43 22 06 21 28 20 50 20 12 19 32 18 54 18 13 17 33 16 52 16 11 50 9 00 21 39 21 04 20 28 19 52 19 15 18 37 18 01 17 23 16 44 16 06 15 27 9 OO lO 20 34 20 01 19 26 18 52 ' 18 17 17 42 17 17 16 30 15 54 15 18 14 4' 10 20 19 28 1856 18 23 l"7 51 17 18 16 46 16 12 15 38 15 "4 14 29 13 54 20 30 18 21 17 5i 17 19 16 50 16 19 '5 47 15 1° 14 44 14 12 13 39 13 06 30 40 17 12 16 43 16 15 15 47 15 17 14 48 14 19 13 49 13 19 12 49 12 17 40 50 16 02 15 37 15 10 14 43 14 16 13 49 13 22 12 53 12 25 11 57 11 28 50 10 00 '4 53 14 28 14 °3 13 39 13 14 12 48 12 23 11 57 11 31 11 06 10 38 10 00 lO 13 41 13 18 12 55 12 33 12 II . 11 47 11 23 11 00 10 36 ' 10 12 9 47 lO 20 12 29 12 09 II 48 II 27 II 06 10 46 10 24 10 03 9 4° 9 18 8 56 20 30 11 16 10 58 10 39 10 20 10 01 9 42 9 24 9 °4 8 04 844 8 24 8 04 30 40 10 02 9 46 Q 29 9 13 8 57 8 39 8 22 7 47 7 29 7 12 40 50 8 49 8 35 8 20 8 06 7 50 7 3° 7 20 7 05 6 49 6 34 6 19 50 11 00 7 34 7 21 7 09 6 57 6 44 631 6 18 6 06 5 52 5 39 5 25 11 00 10 6 19 6 09 5 59 5 48 5 38 5 26 5 16 5 °5 4 54 4 43 4 31 10 20 5 °4 4 56 4 47 4 39 4 3° 4 22 4 14 4 t>4 3 55 3 46 3 37 20 30 3 48 3 41 3 3° 3 3° 3 23 3 17 3 10 3 °4 2 57 2 50 2 43 30 40 2 32 2 28 2 23 2 20 2 15 2 12 2 07 2 02 1 57 1 53 1 49 40 50 1 16 1 14 1 12 I 10 I 08 1 06 1 04 1 02 ° 59 57 54 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 169 AZIMUTH OR TRUE BEARING. LATITUDE 41° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 41° Hoar Angle. O 10 12 in. oo 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 lO 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 24° 180 oo 172 13 164, 39 157 27 150 45 144 36 139 °° 133 56 129 22 125 13 121 28 118 03 "4 54 112 01 109 21 106 51 104 32 102 20 100 15 98 16 96 23 94 34 92 49 91 07 25° 89 28 87 52 86 18 84 45 83 13 81 44 80 14 78 4° 77 18 75 50 74 22 73 °3 71 25 69.57 68 27 66^7 65 27 63 54 62 22 60 47 59 12 57 35 55 55 54 14 52 31 50 47 49 00 47 1° 45 19 43 25 41 28 39 3° 37 28 35 24 33 18 31 08 28 56 26 42 24 26 22 07 19 45 17 22 14 56 12 30 10 02 7 32 5 02 2 31 o 00 180 00 171 50 163 53 156 23 149 27 143 08 137 27 132 19 127 44 123 35 119 52 116 29 113 23 11° 33 107 56 105 29 103 12 101 03 99 00 97 °4 95 12 93 26 91 42 90 03 88 25 86 51 85 18 83 46 82 16 8047 79 19 77 52 76 25 74 58 73 31 72 04 70 38 69 09 67 41 66 12 64 42 63 10 61 37 60 04 5829 56 53 55 14 53 34 51 5i 5° 08 48 22 46 34 44 44 42 51 4° 55 3858 36 57 34 54 32 50 3041 28 32 26 19 24 03 21 46 19 28 17 06 14 43 12 18 9 52 7 25 4 57 26° 27° 180 00 171 22 163 01 155 12 148 01 141 32 135 45 130 35 126 00 121 53 118 11 "4 52 in 48 109 01 106 27 104 03 101 49 99 42 97 43 95 49 94 00 92 16 9° 34 88 56 87 21 8548 84 16 82 47 81 18 79 5i 78 24 7658 75 32 74 °6 72 40 71 14 69 48 68 20 6653 65 25 63 55 62 25 60 53 59 20 57 46 56 10 54 33 52 54 51 13 49 30 47 45 45 57 44 07 42 16 40 22 38 25 36 27 34 25 32 22 30 15 28 06 25 56 23 42 21 27 19 10 16 50 14 29 12 07 9 43 7 18 4 53 2 26 o 00 28° 170 51 162 02 153 51 146 25 139 47 133 55 128 44 124 09 120 04 116 26 113 09 no 10 107 26 104 56 102 35 100 24 98 21 96 24 94 33 92 47 91 04 89 25 87 49 86 16 84 44 83 15 81 46 80 19 78 53 77 28 76 03 74 38 73 13 7i 49 70 24 68 58 67 32 66 05 6438 63 09 61 40 60 09 58 37 57 °4 55 29 53 52 52 14 5° 33 49 51 47 °6 45 21 43 32 41 42 39 48 37 53 35 56 33 55 31 53 29 48 27 41 25 33 ► 23 21 21 07 18 52 iS 35 14 15 11 55 9 34 7 " 448 2 24 o 00 180 00 170 15 160 56 152 22 144 39 137 52 131 56 126 44 122 11 118 10 114 35 in 23 108 27 105 48 103 22 101 03 9858 9° 57 95 04 93 15 91 32 89 52 88 15 86 41 85 10 83 40 82 12 80 46 79 21 77 56 76 3i 75 08 73 44 72 20 7° 57 69 33 68 08 66 43 65 18 63 51 62 23 60 55 59 25 57 53 56 21 54 47 53 II 51 34 49 54 48 13 46 29 44 45 42 57 41 08 39 15 "37 21 35 26 33 26 31 25 29 23 27 17 25 10 23 00 20 48 18 34 16 20 14 02 11 45 9 25 7 05 4 44 29° 180 00 169 35 159 39 150 39 142 40 135 44 129 45 124 35 120 05 116 07 112 38 109 30 106 41 104 05 101 44 99 3i 97 28 95 32 93 41 91 56 9° 15 8837 87 03 85 31 84 03 82 35 81 09 79 44 78 21 7° 57 75 34 74 12 72 50 71 27 70 04 68 42 67 18 65 54 64 29 63 03 61 37 60 09 58 4° 57 °9 55 37 54 °4 52 3° 5° 53 49 15 47 34 45 52 44 08 42 21 4° 34 38 42 36 49 34 55 32 58 3°58 28 57 26 52 24 46 22 39 20 29 18 17 16 05 13 49 II 33 9 16 658 4 39 30° 180 00 168 46 158 n 148 43 140 28 133 25 127 24 122 17 117 52 114 00 no 36 i°7 35 104 50 102 21 100 04 97 56 95 56 94 04 92 17 90 35 88 57 87 23 85 5i 84 22 82 55 81 29 80 05 78 42 77 20 75 57 74 36 73 15 7i 54 7° 33 69 11 67 50 31° 66 27 65 04 63 40 62 16 60 49 59 23 57 55 56 25 54 55 53 22 51 48 5° 13 48 35 46 56 45 15 43 31 41 47 39 59 38 10 36 18 34 24 32 29 30 31 28 31 26 28 24 24 22 18 20 11 18 00 15 49 13 36 n 22 9 °7 652 4 35 2 18 00 180 00 167 49 156 27 146 28 137 58 13° 49 124 51 119 49 "5 29 in 44 108 28 i°5 33 i°2 55 100 31 98 20 96 16 94 22 92 34 9° 5i 89 12 87 37 86 05 8436 83 10 81 45 80 22 79 00 77 38 76 18 74 58 73 37 72 18 70 59 69 38 68 18 66 58 65 36 64 14 62 51 61 28 60 03 ,58 37 32° 180 00 166 39 154 24 143 53 135 °8 127 58 122 04 117 08 112 58 109 22 100 13 I03 27 100 56 98 39 96 33 94 35 92 45 91 01 89 22 87 47 86 16 84 48 83 22 81 57 80 36 79 14 77 54 76 35 75 ifi 73 57 72 39 71 21 70 02 68 44 67 25 66 05 64 45 63 24 62 03 60 40 59 i« 57 51 33° 57 1° 56 25 55 41 54 58 54 12 53 29 52 4° 51 5» 51 08 50 26 49 32 48 52 47 55 47 16 46 18 45 4° 44 38 44 01 42 55 42 20 41 12 40 37 39 26 38 53 37 37 37 °5 35 47 35 16 33 55 33 25 32 01 31 32 30 04 29 37 28 05 27 4° 26 05 25 41 24 02 23 4° 21-58 21 37 19 52 19 33 17 43 17 27 15 34 15 20 13 24 13 II II 12 II 01 8 58 8 50 6 44 638 4 30 4 26 2 15 2 13 00 00 180 00 165 13 151 56 140 51 131 56 124 48 119 01 114 17 no 17 106 51 103 53 101 15 9?52 96 43 94 43 92 51 91 07 89 28 87 53 86 22 84 54 83 29 82 06 80 44 79 24 78 04 76 47 75 3° 74 13 72 56 71 39 70 23 69 06 6748 66 31 65 12 63 54 ■62 33 61 13 59 5i 5829 57 °5 55-39 54 13 52 45 51 15 49 44 48 12 46 37 45 °2 43 23 41 44 40 02 38 18 36 32 34 45 32 55 31 °4 29 10 27 15 25 17 23 17 21 18 19 15 17 10 15 °5 12 58 10 50 8 41 6 32 4 21 34° 180 00 163 24 148 54 137 18 128 17 121 16 "5 43 in 12 107 27 104 14 101 26 9858 96 44 94 42 92 50 91 04 89 25 87 52 86 21 84 54 83 30 82 08 8047 79 29 78 12 76 55 75 39 74 24 73 °9 71 54 70 39 69 24 68 08 6653 65 36 64 20 63 01 61 43 60 24 59 °3 5 7- 4 J 5° 18 54 55 53 29 52 02 5° 34 49 °3 47 32 45 59 44 24 42 47 41 08 39 27 37 45 36 01 34 14 32 26 3° 36 28 43 26 50 24 54 22 57 20 58 18 57 16 55 14 51 12 46 10 40 5 33 6 25 4 18 2 09 o 00 35° 180 00 161 03 145 °8 133 °4 124 07 117 22 112 09 i°7 55 104 26 101 29 96 36 94 32 92 39 9° 54 89 15 87 41 86 13 84 48 83 24 82 04 80 45 79 28 78 13 76 59 75 44 74 30 73 18 72 04 70 52 6938 68 25 67 11 65 57 64 41 63 25 62 09 60 51 59 33 58 14 56 53 55 31 54 08 52 44 51 18 49 51 48 22 46 51 45 19 43.45 42 10 4° 33 3852 37 11 35 29 33 44 31 57 30 07 28 17 26 25 24 31 22 35 2038 18 38 16 38 14 3° 12 33 10 29 8 25 6 19 4 13 2 07 o 00 Hour Angle. Ii. O 10 12 111. 00 10 20 30 40 50 00 lO 20 30 40 SO OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 170 AZIMUTH OR TRUE BEARING. LATITUDE 4,1°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 41°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44" 45° 46° 47° - Hour Angle. Ii. in. o '/ f / 1 / c 1 / / / / r / b. in. 00 180 oo 180 00 180 00 180 00 180 00 00 00 00 00 00 00 „o 00 10 157 5° 153 18 146 27 135 26 116 56 89 ii 61 04 42 04 3° 43 23 43 19 °5 ^5,5° IO 20 14° 23 134 13 126 16 "5 56 103 07 88 22 73 25 60 03 -49 12 4° 45 34 16 29 14 20 30 .128 03 122 03 "4 59 106 45 97 3° 8732 77 26 67 46 59 01 51 22 44 53 39 24 30 40 119 23 114 01 108 00 101 19 94 13 86 43 79 06 71 37 °4 32 57 58 52 03 46 47 40 50 "3 °5 108 21 103 14 97 43 91 55 85 53 79 47 73 42 67 48 62 11 56 55 5? 03 50 1 00 108 16 104 06 99 4° 94 59 90 06 85 °4 79 58 74 51 69 49 66 46 60 16 55 5° 1 00 10 104 25 100 44 96 50 92 46 88 33 84 14 79 5i 75 26 71 02 62 37 58 35 IO 20 101 17 97 57 94 29 9° 54 87 11 83 24 79 33 75 4i 7i 49 67 59 64 14 60 35 20 30 98 35 95 35 92 28 89 15 8556 82 34 79 °8 75 40 72 14 6847 6s 23 62 02 30 40 96 15 93 3° 90 40 87 45 84 46 81 43 78 38 75 31 72 23 «9 15 66 08 63.04 63*46 40 50 94 1° 91 38 89 03 86 23 83 39 8053 78 03 75 13 72 22 69 29 6&37 50 2 00 92 16 8956 87 32 •85 °5 82 35 80 02 77 27 74 49 72 11 69 32 66 53 64 15 2 00 10 90 32 88 21 86 08 83 51 81 32 79 11 76 48 74 22 71 54 69 27 67 00 64 31 10 20 88 55 86 52 84 47 82 40 80 31 78 19 76 05 73,48 7i 33 69 15 66 57 64 38 20 30 87 23 85 28 83 31 81 31 79 30 77 27 75 21 73 15 7i °7 68 57 66 47 64 37 30 40 85 57 84 07 82 17 80 25 78 31 76 34 74 36 72 37 7° 37 68 35 66 32 64 29 40 50 84 32 ,82 49 81 05 79 21 77 32 75 4i 73 5° 71 57 70 04 68 09 66 13 64, 16 50 3 OO 83 12 81 34 79 55 78 14 76 32 74 48 73 °2 7i 15 69 28 67 39 65 49 63 59 3 OO 10 81 53 80 21 78 46 77 1° 75 33 73 54 72 14 70 31 68 49 67 05 65 21 63 36 IO 20 80 37 79 ° 8 77 38 76 °7 74 33 72 59 7i 24 69 47 68 09 66 30 64 50 63 10 20 30 79 22 77 57 76 31 75 °3 73 35 72 04 7° 33 69 00 67 27 65 52 64 17 62 41 30 40 78 09 7S 47 75 24 74 °° 72 35 71 °9 69 42 68 12 66 43 65 12 63 41 62 09 40 50 7656 75 37 74 17 72 57 7i 36 7° 13 68 48 67 23 65 57 64 3° 63 03 61 34 50 4 00 75 44 74 28 73 12 7i 54 7° 35 69 16 67 55 66 33 65 10 63 46 62 22 60 56 4 00 10 74 3 2 73 19 72 05 7° 5i 69 35 68 18 67 00 65 41 64 21 63 00 61 4° 60 17 10 20 73 21 72 10 7° 59 6g 47 6833 67 19 66 04 64 48 63 3° 62 13 60 54 59 35 20 30 72 10 71 02 6-5 52 68 42 «7 32 66 20 65 °7 63 53 62 39 61 24 60 08 58 52 30 40 7° 59 69 52 6845 67 38 66 29 65 20 64 09 «2 59 61 47 60 34 59 21 58 31 58 06 40 50 69 48 6843 67 39 66 33 65 27 64 19 63 11 62 02 60 53 59 4i 57 19 50 5 OO 68 36 67 33 66 30 6526 64 22 63 17 62 11 61 04 59 56 5848 57 39 56 29 5 00 10 67 24 66 23 65 22 64 20 63 17 62 14 61 10 60 05 59 °° 57 53 56 47 55 39 10 20 66 12 65 13 64 13 63 12 62 12 61 10 60 08 59 °5 58 02 56 57 55 52 54 47 20 30 64 59 64 01 63 °3 62 04 °5 60 05 59 °4 58 03 57 02 55 59 54 57 53 53 30 40 63 46 62 48 61 52 60 55 59 58 58 59 58 °o 57 01 56 01 55 °° 53 59 52 57 40 50 62 31 61 36 60 42 59 46 58 49 57 53 56 55 55 57 54 59 54 °° 53 °° 52 00 50 6 00 61 16 60 22 59 29 58 34 57 39 56 44 55 48 54 51 53 55 52 57 52 00 51 01 6 00 '10 59 59 59 °7 58 15 57 22 56 29 55 35 54 4° 53 45 52 5° 51 54 5° 57 5° °i 10 [ 22 58 42 57 5i 57 °l 56 09 55 17 54 24 53 31 5238 51 44 5° 5° 49 55 49 00 20 30 57 25 56 34 55 44 54 54 54 °4 53 12 52, 21 51 28 5° 36 49 43 48 5° 47 57 30 40 56 05 55 16 54 28 53 38 52 49 51 59 51 °9 5° 17 49 27 48 16 48 35 47 44 46 51 40 50 54 45 53 57 53 1° 52 21 51 33 50 44 49 55 49 °6 47 26 46 35 45 45 50 7 00 53 23 52 35 51 49 51 °3 5° 16 49 29 48 11 48 40 4 Z 5 i 47 °5 46 15 45 26 '44 36 7 00 10 5i 59 51 13 50 28 49 42 48 57 47 25 46 38 45 51 45 °3 44 16 43 27 10 20 5° 34 49 5° 49 06 48 22 47 37 46 52 46 07 45 21 44 36 43 49 43 °3 42 16 20 30 49 08 48 25 47 42 46 58 46 15 45 32 44 47 44 °3 43 18 42 34 41 49 41 04 30 40 47 4° 4658 46 16 45 34 44 52 44 1° 43 27 42 44 42 01 41 17 4° 34 '39 5° 40 50 46 11 45 3° 44 5° 44 °9 43 28 42 46 42 °5 41 23 40 42 39 59 39 18 38 34 50 8 00 44 4° 44 00 43 20 42 40 42 01 41 21 40 41 40 00 39 20 38 39 37 59 37 17 8 00 10 43 °7 42 29 41 5° 41 12 4° 34 39 55 39 16 38 37 37 57 37 18 36 39 35 59 10 20 41 33 4° 55 40 19 3 ?, 4 i 39 °3 38 26. 37 48 37 11 36 33 35 55 35 17 34 39 20 30 39 56 39 20 38 45 3808 37 33 3656 36 19 35 43 35 °7 34 3° 33 54 33 17 30 40 38 18 37 43 37 °8 36 34 35 59 35 25 34 49 34 14 33 39 33 °5 32 3° 31 53 40 50 36 38 36 05 35 31 34 57 34 24 33 5i 33 17 32 43 ,32 10 3i 37 31 °3 30 29 50 9 00 34 5° 34 24 33 52 33 19 3248 32 16 31 43 31 11 30 40 3° °7 29 35 29 °3 9 00 io 33 13 32 42 32 II 31 4° 31 10 30 40 30 08 29 57 29 07 28 37 28 06 27 35 10 20 31 28 3° 58 30 29 30 oc 29 3i 29 01 28 32 28 02 27 33 27 04 26 36 26 06 20 30 29 40 29 12 28 45 28 17 27 5° 27 22 26 53 26 27 25 58 25 32 25 °4 24 36 30 40 27 5° 27 25 26 59 26 32 26 07 25 4° 25 14 24 49 . 23 08 24 22 23 56 23 3i 23 04 40 50 26 00 25 35 25 11 24 46 24 22 23 57 23 33 22 44 22 20 . 21 56 21 31 50 10 OO 24 °7 23 44 23 22 22 58 22 36 22 13 21 50 21 27 21 05 20 42 20 20 1958 10 00 10 22 14 21 52 21 31 21 09 20 49 20 27 20 06 19 46 19 24 19 03 18 42 18 22 10 20 20 17 19 59 19 39 19 19 19 00 18 40 18 21 18 02 17 43 17 24 17 04 16 46 20 30 18 21 18 03 17 45 17 27 17 10 16 52 16 35 16 17 16 00 15 43 15 25 15 °8 30 40 50 16 22 14 23 16 05 14 08 15 5° 13 54 15 34 13 4° 15 18 13 26 15 °3 13 I 2 14 47 12 59 14 32 12 45 14 15 12 31 14 00 12 18 13 45 12 04. 13 29 II 51 40 50 11 00 12 21 12 08 11 56 11 44 11 33 11 21 11 09 1° 57 1° 45 i° 33 10 22 10 10 11 00 10 10 19 10 09 9 59 9 49 9 38 9 29 9 19 909 8 59 8 49 8 39 P 30 10 20 8 17 8 08 8 00 7 52 7 44 7 36 7 27 7 20 7 12 l°A 656 6 48 20 30 6 13 6 06 6 01 5 54 5 49 5 42 5 36 5 31 5 24 5 I 2 5 °7 30 40 4 08 4 °5 4 01 3 56 3 53 3 48 344 3 4° 3 37 3 33 3 29 3 24 40 50 2 04 2 02 2 01 1 59 1 56 1 54 1 52 1 5° 1 48 1 46 1 45 I 43 50 12 00 00 00 00 00 00 00 00 00 00 00 - 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and thf supplement of the tabulated azimuth is to be taken for the required true bearing. 171 AZIMUTH OR TRUE BEARING. LATITUDE 41°. DECI,INATION- -SAME NAME AS— LATITUDE; LATITUDE 41°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / t / / / / / / / u / / / li. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 '3 25 " 35 10 08 858 7 59 7 11 6 30 5 54 5 22 4 55 i 31 8 57 409 8 14 10 20 25 15 22 05 19 32 17 23 15 35. 14 °4 12 45 11 37 10 37 9 44 20 30 34 4» 3° 56 ,27 40 24 52 22 28 20 23 18 35 1658 15 34 14 18 13 11 12 10 30 40 42 06 38 01 34 26 31 16 28 30 26 02 23 51 21 55 20 10 18 30 17 11 15 54 40 50 47 35 43 33 39 54 3° 36 33 37 3° 57 28 31 26 20 24 20 22 32 20 53 19 23 50 1 00 51 39 47 49 44 15 4° 57 37 54 35 °8 32 34 3° 14 28 04 26 05 24 16 22 35 1 00 10 54 45 51 °7 47 42 44 28 41 27 38 40 36 03 33 38 31 22 29 16 27 19 25 3° 10 20 57 03 53 39 50 25 47 19 44 23 41 37 39 °° 3° 33 34 15 32 05 30 03 28 09 20 30 58 46 55 35 52 32 49 34 46 45 44 °4 4° °5 41 29 39 °3 36 44 34 32 32 27 3° 3° 30 40 60 02 57 °5 54 12 51 24 48 41 43 34 41 11 38 53 36 40 34 3° 32 34 40 50 61 00 58 13 55 29 52 5° 5° 14 47 44 45 19 42 57 40 42 38 3° 3° 25 34 24 50 2 00 61 38 59 °2 56 29 53 58 51 29 49 °5 46 44 44 27 42 14 40 05 38 01 36 01 2 00 IO 62 04 59 38 57 13 54 5° 52 29 50 10 47 54 45 4i 43 32 41 26 39 23 37 24 IO 20 62 19 60 02 57 44 5806 55 28 53 14 51 °2 48 51 ' 46 42 44 36 42 33 4° 33 38 35 • 20 30 62 25 60 16 55 57 53 48 51 41 49 3° 50 to 47 31 45 3° 43 29 41 32 39 37 30 40 62 26 60 22 58 18 5° 15 54 13 52 11 48 10 46 12 44 16 42 21 40 28 40 50 62 19 60 21 58 24 5626 54 29 52 32 5° 35 48 40 46 46 44 53 4300 41 11 50 3 00 62 06 60 14 5 2 2 ? 56 3° 54 37 52 46 5° 53 49 °2 47 12 45 22 43 33 4i 45 3 OO IO 61 49 60 02 58 16 56 27 5* 39 52 52 51 °4 49 17 47 3° 45 44 43 58 42 13 10 20 61 28 59 45 5803 5 5 r 2 54 3° 52 5? 51 °9 49 25 47 42 45 58 44 16 42 34 20 30 61 03 59 25 57 47 5° °8 54 29 5248 51 °8 49 28 47 48 46 07 44 28 42 48 30 40" 6° 35 59 01 57 27 55 5i 54 16 52 3? 51 °2 49 25 47 49 46 12 44 34 42 57 40 50 60 04 58 33 57 °2 55 3° 53 58 52 26 5° 52 49 18 47 44 46 10 44 36 43 °2 50 4 OO 59 30 58 03 56 36 55 °° 53 37 52 08 5°38 49 °7 47 36 / 46 04 44 33 43 °2 4 00 10 58 53 57 29 56 °5 54 39 53 14 51 47 5° 19 48 52 47 23 45 55 44 25 42 56 IO 20 58 15 56 54 55 32 54 °9 52 46 51 22 49 58 48 33 47 °7 45 4i 44 15 42 48 20 30 57 34 56 15 54 56 53 3° 52 16 5° 55 49 33 48 10 46 48 45 22 ' 44 00 42 35 30 40 56 51 55 35 54 19 53 °2 51 43 5° 25 49 °5 47 45 46 24 45 °4 43 41 42 20 40 50 56 06 54 52 53 39 52 23 51 08 49 52 48 35 47 17 45 59, 44 4° 43 21 42 00 50 5 00 55 19 54 °8 52 56 51 43 5° 3° 4 § T S 48 02 46 45 45 3° 44 14 42 57 41 39 5 OO 10 54 3° 53 '22 52 12 51 01 49 5° 4838 47 26 46 13 44 59 43 45 42 3° 41 14 IO 20 53 40 52 33 51 26 50 17 49 °7 47 58 46 48 45 37 44 25 43 13 42 00 40 46 20 30 52 47 51 43 5° 38 49 3° 48 42 48 24 47 1° 46 07 44 59 43 5° 42 39 41 28 40 16 30 40 51 53 50 5° 49 47 47 38 46 31 45 24 44 18 43 1° 42 02 4° 53 39 43 40 50 50 58 49 58 4856 47 53 46 49 45 4° 44 41 43 37 42 30 41 23 40 16 39 °8 50 6 00 50 01 49 °2 48 02 47 01 45 59 44 57 43 55 42 52 41 47 40 42 39 38 38 31 6 OO 10 49 °3 48 05 47 °7 46 07 45 °7 44 °7 43 °° 42 05 41 02 40 00 38 57 37 52 10 20 48 03 47 °7 46 10 45 11 44 15 43 15 42 16 41 16 40 16 39 15 38 14 37 11 20 30 47 01 46 06 45 13 44 15 43 19 42 22 41 24 4° 25 39 28 38 29 37 28 3° 27 30 40 45 57 45 °3 44 " ' 43 1° 42 21 41 26 4° 31 39 34 38 37 37 39 36 42 35 42 40 50 44 53 44 °i 43 °9 42 16 41 23 40 29 39 35 38 41 37 45 36 49 35 53 34 56 50 7 00 43 46 42 56 42 06 41 15 40 23 39 3° 38 38 37 45 36 51 35 57 35 °3 34 °6 7 OO 10 42 38 -41 5° 41 01 40 IT 39 20 38 3° 37 39 3648 35 56 35 °4 34 1° 33 16 IO 20 41 29 40 42 3 g SJ 39 °° 38 17 37 29 36 39 35 49 34 59 34 °8. 33 17 32 24 20 30 40 20 39 32 3846 38 00 37 12 36 25 35 37 34 48 34 °° 33 " 32 21 31 31 30 40 39 °° 38 21 37 36 36 51 3° °5 35 19 34 33 33 47 33 °° 32 13 31 24 3° 35 40 50 37 52 37 °9 36 26 35 41 34 57 34 13 33 29 32 43 31 58 31 12 30 25 29 38 50 8 OO 36 35 35 54 35 12 34 29 33 47 33 °5 32 22 31 38 3° 54 30 10 29 25 28 39 8 00 10 35 19 34 38 33 58 33 17 32 3° 31 5° 31 14 3° 32 29 49 29 06 28 24 27 4° 10 20 34 00 33 22 32 43 32 03 31 23 3° 44 30 04 29 2* 28 43 28 02 27 21 26 39 20 30 32 40 32 03 31 25 3° 47 30 09 29 32 2853 28 14 27 35 26 57 26 16 25 3° 30 40 31 18 30 42 30 07 29 3° 28 54 28 20 27 41 27 04 26 26 25 49 25 1° 24 33 40 50 29 54 29 21 28 47 28 11 27 38 27 02 26 27 25 52 25 16 24 4° 24 °4 23 28 50 9 OO 28 30 27 58 27 25 26 51 26 19 25 46 25 12 24 38 24 °4 23 3° 22 56 22 21 9 OO 10 27 04 26 33 26 02 25 3° 24 59 24 27 23 55 23 24 22 51 22 19 21 47 21 14 10 20 25 37 25 08 24 38 24 08 23 38 23 °8 22 39 22 08 21 38 21 07 20 36 20 04 20 30 24 08 23 4° 23 12 22 45 22 19 21 48 21 20 20 51 20 23 19 54 19 25 18 55 30 40 22 38 22 12 21 46 21 19 20 53 20 26 20 00 19 33 19 06 18 39 18 12 17 44 40 50 21 06 20 42 20 18 19 53 19 28 19 03 18 39 18 14 17 49 17 24 16 59 1° 33 50 io OO 19 34 19 12 18 49 18 26 18 03 17 40 17 17 16 54 16 31 16 07 15 44 15 19 10 00 IO 18 01 17 40 17 19 16 57 16 37 16 15 15 54 15 33 15 12 14 5° 14 28 14 06 10 20 16 26 16 07 15 47 15 28 15 °9 14 5° 14 3° 14 II 13 5i 13 31 13 12 12 52 SO 30 14 40 14 32 14 17 13 58 13 4i 13 23 13 °° 12 49 12 30 12 13 11 55 11 37 30 40 13 14 12 58 12 43 12 27 12 12 11 5° II 41 11 25 11 08 10 52 1° 37 10 21 40 50 II 36 11 23 11 10 10 56 10 42 10 28 10 14 10 01 9 46 9 33 9 19 9 04 50 11 00 9 58 9 46 9 36 9 23. 9 11 9 00 8 48 8 36 8 24 8 12 8 00 7 48 11 OO IO 8 20 8 10 S 01 7 5° 7 4° 7 3° 7 21 7 11 7 01 ° 51 6 40 6 30 IO 20 6 40 6 33 6 24 6 16 6 09 6 01 5 54 5 46 5 37 5 29 5 22 5 13 20 30 5 °i 4 55 4 49 4 43 4 37 4 32 4 25 4 19 4 12 4 °7 4 01 3 55 30 40 3 20 3 16 3 13 3 °9 3 °5 3 °l 2 57 2 53 2 49 2 45 2 41 2 37 40 50 1 41 1 39 1 3° 1 34 1 33 1 31 1 28 1 26- 1 25 1 22 1 21 1 19 SO 12 00 00 00 00 00 00 00 00 00 00 : 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East, and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 172 AZIMUTH OR TRUE BEARING. LATITUDE 41°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 41°. Hour Angle. 60° 61° «2° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / t / / / / / / / / h. 111. O OO 00 00 00 00 00 00 00 00 00 00 00 00 10 3 49 3 32 3 16 3 02 2 48 2 36 2 24 2 14 2 04 1 55 1 46 10 ao 7 36 7 02 6 30 6 01 5 35 5 10 4 48 4 26 4 06 3 48 3 30 20 30 " 15 10 25 9 38 8 55 8 17 7 40 7 08 6 36 6 08 5 40 6 st 30 40 14 43 13 39 12 39 n 45 10 54 10 08 9 24 844 10 46 8 06 7 29 40 50 17 59 16 43 15 32 14 26 13 25 12 28 11 35 10 00 9 16 8 35 50 1 00 21 01 19 34 18 14 16 59 15 49 14 44 13 42 12 45 11 51 10 59 10 11 1 00 10 23 49 22 13 20 45 19 23 18 04 16 51 15 43 14 37 13 36 12 39 11 44 10 20 26 21 24 4° 23 04 21 35 23 38 20 11 18 50 17 35 16 24 15 17 14 13 13 13 20 30 28 37 26 52 25 12 22 07 20 43 19 22 18 05 16 53 15 43 1437 15 57 30 40 30 41 28 52 27 08 25 3° 23 55 22 26 21 00 19 39 18 22 17 08 40 50 32 29 3° 39 28 52 27 10 25 33 24 01 22 32 21 06 19 45 18 27 17 12 50 2 00 34 05 32 14 30 26 2843 27 02 25 28 23 55 22 27 21 02 19 41 18 22 2 00 10 35 28 33 37 31 48 30 04 28 23 26 46 25 12 23 41 22 14 20 49 19 28 10 20 36 42 34 50 33 °2 31 17 29 35 27 57 26 21 24 49 23 20 21 53 20 29 20 30 37 47 35 53 34 "7 32 21 30 39 29 01 27 24 25 49 24 19 22 50 21 24 30 40 38 37 36 49 35 03 33 19 31 36 29 57 28 19 26 45 25 13 23 43 22 15 40 50 39 22 37 36 35 50 34 07 32 25 30 46 29 09 27 33 26 01 24 29 23 01 50 3 00 39 59 38 14 36 30 34 47 33 08 31 29 29 52 28 16 26 43 25 13 23 43 3 00 10 40 28 38 45 37 04 35 23 33 43 32 06 30 30 2854 27 21 25 50 24 20 IO 20 40 51 39 11 37 3i 35.52 34 14 32 38 31 02 29 27 27 54 26 23 24 53 20 30 41 09 39 30 37 52 36 15 34 39 33 03 31 29 29 55 28 23 26 52 25 22 30 40 41 21 39 45 38 09 36 33 34 58 33 24 31 51 30 18 2847 27 16 25 46 40 50 41 27 39 54 38 20 • 36 46 35 II 33 40 32 08 30 36 29 06 27 36 26 06 50 4 OO 41 30 39 58 38 27 36 54 35 23 33 52 32 22 30 51 29 21 27 52 26 23 4 OO 10 41 27 39 58 38 28 36 59 35 29 34 00 32 30 31 01 29 33 28 04 26 37 10 20 41 21 39 54 38 26 3658 35 30 34 03 32 35 31 07 29 40 28 13 26 47 20 30 41 11 39 46 38 20 36 55 35 28 34 03 32 37 31 11 29 44 28 18 26 53 30 40 40 57 39 34 38 12 36 47 35 23 33 59 32 35 31 09 29 45 28 21 26 56 40 50 40 41 39 20 37 58 36 36 35 14 33 52 32 29 31 06 29 43 28 20 26 56 50 5 00 40 20 39 01 37 42 36 22 35 02 33 42 32 21 30 59 29 38 28 16 26 54 5 00 10 39 57 3841 37 24 36 05 34 47 33 29 32 10 30 49 29 30 28 10 26 48 10 20 39 32 38 18 37 03 35 46 34 28 33 12 31 55 3° 37 29 18 28 00 26 41 20 30 39 04 37 51 36 37 35 23 34 08 32 54 31 38 30 21 29 04 2748 26 30 30 40 30 33 37 23 36 II 34 59 33 45 32 33 31 19 30 04 , 28 49 27 33 26 17 40 50 38 00 36 51 35 42 34 3° 33 20 32 09 30 57 29 43 28 30 27 16 26 03 50 6 00 37 25 36 18 35 10 34 02 32 52 31 43 30 32 20 21 28 56 28 10 26 58 25 44 6 00 10 36 47 35 42 34 37 33 29 32 22 31 14 3° 06 27 46 26 36 25 25 10 20 36 08 35 °4 34 01 32 56 31 49 30 43. 29 38 28 30 27 22 26 13 25 °4 20 30 35 27 34 25 33 23 32 19 31 15 30 II 29 06 28 OI 2655 25 47 24 40 30 40 34 43 33 44 32 43 31 4i 30 39 29 37 28 34 27 31 26 26 25 20 24 14 40 50 33 58 33 00 32 02 31 02 30 01 29 01 27 59 26 57 25 54 24 51 23 47 SO 7 00 33 II 32 15 31 18 30 19 29 21 28 23 27 23 26 22 25 21 24 20 23 18 7 00 10 32 23 31 28 30 32 29 36 28 40 27 42 26 45 25 47 24 47 23 47 22 46 10 20 31 32 3° 39 29 46 28 51 27 56 27 01 26 04 25 08 24 11 23 13 22 14 20 30 30 40 29 49 28 57 2805 27 11 26 18 25 24 24 28 23 33 22 38 21 41 30 40 29 46 28 57 28 07 27 16 26 25 25 33 24 41 2348 22 54 22 00 21 05 40 50 28 51 28 04 27 16 26 26 25 36 24 48 23 57 23 °5 22 13 21 21 20 28 SO 8 00 27 54 27 09 26 22 25 34 24 46 23 59 23 10 22 21 21 31 20 41 19 49 8 OO 10 26 57 26 12 25 28 24 42 23 56 23 10 22 23 21 35 20 48 19 59 19 10 10 20 25 57 25 14 24 32 23 48 23 03 22 19 21 35 20 49 20 03 19 16 18 32 18 29 20 30 24 57 24 15 23 34 22 53 22 10 21 28 20 45 20 01 19 17 17 47 30 40 23 54 23 15 22 36 21 56 21 15 20 35 19 53 19 12 18 30 17 47 17 °4 40 50 22 51 22 13 21 3 6 20 58 20 19 19 41 19 01 18 21 17 41 17 01 16 19 50 9 00 21 46 21 10 20 35 19 58 19 22 18 45 18 08 17 29 16 52 16 13 15 34 .9 00 10 20 40 20 06 19 33 18 58 18 23 17 49 17 14 1638 16 02 15 25 14 48 10 20 19 33 19 02 18 30 17 57 17 24 16 52 16 18 15 44 15 10 14 35 14 01 20 30 18 25 17 55 17 24 16 55 16 24 15 54 15 21 14 50 14 18 13 45 13 12 30 40 17 16 16 49 16 21 15 51 15 23 14 54 14 25 13 54 13 25 12 55 12 23 40 50 16 06 15 40 15 14 14 48 14 21 13 54 13 27 12 58 12 30 12 02 11 33 50 10 00 14 55 14 32 14 08 13 43 13 18 12 53 12 28 12 02 11 3° 11 10 10 43 10 00 10 13 44 13 22 12 59 12 37 12 15 11 51 11 28 11 04 10 39 10 16 9 52 IO 20 12 32 12 12 11 51 11 3° II 10 10 49 10 27 10 06 9 44 9 22 9 CO 20 30 11 19 11 ,00 10 42 10 23 10 04 9 46 9 27 9 °7 8 48 8 27 8 07 30 40 10 04 9 49 9 33 9 15 8 59 8 42 8 25 8 07 7 5° 7 33 7 15 40 50 8 51 8 36 8 22 8 07 7 53 7 38 7 23 7 °7 6 53 6 37 6 21 50 11 00 7 36 7 23 7 12 6 59 6 46 6 34 6 20 6 07 5 54 ,5 41 5 27 11 00 io 6 20 6 10 6 00 5 49 5 39 5 28 5 18 5 07 4 56 444 4 33 10 20 5 05 4 57 448 4 40 4 31 4 23 4 15 4 06 3 57 3 48 3 39 20 30 3 48 3 43 3 36 3 30 3 24 3 17 3 II 3 05 258 2 51 2 45 30 40 2 33 2 28 2 24 2 20 2 16 2 12 2 07 2 03 1 59 1 55 1 5° 40 50 1 17 1 14 1 12 1 10 1 08 I 06 1 04 1 02 1 00 57 55 50 13 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In Xorth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 173 AZIMUTH OR TRUE BEARING. LATITUDE 42°. DECUNATION- -SAME NAME AS-I,ATITUDE. LATITUDE 42°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. o / / / / / / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 172 39 172 17 171 54 171 26 170 56 170 21 169 41 168 53 167 56 166 47 1S5 23 l°3 35 10 20 165 26 164 46 164 00 163 09 162 12 161 06 159 51 158 23 156 41 154 39 152 14 149 12 20 30 I5» 34 157 36 156 33 155 23 154 03 152 34 15° 53 148 56 146 45 144 11 141 10 137 38 30 40 152 06 150 56 149 38 148 13 146 38 144 53 142 55 140 44 138 15 135 27 132 15 128 36 40 50 146 08 144 47 143 21 Hi 45 140 01 138 07 136 01 133 4i 131 07 128 15 125 °5 121 34 SO 1 OO 140 38 139 12 137 39 135 58 134 °9 132 10 130 01 127 42 125 07 122 19 119 16 115 57 1 00 10 135 37 134 °7 132 31 130 47 128 56 126 57 124 48 122 31 120 01 117 21 114 28 III 24 lO 20 131 04 129 32 127 55 126 n 124 21 122 23 120 17 118 03 115 40 113 °9 no 27 107 36 20 30 126 53 125 22 123 45 122 02 120 14 118 19 116 18 114 09 in 54 109 3° 107 00 104 21 30 40 123 °° 121 35 120 00 118 19 116 34 "4 43 112 46 no 43 i°8 35 106 19 103 58 101 31 40 50 119 38 118 08 11° 35 "4 58 "3 15 in 29 109 36 107 40 i°5 37 103 30 101 18 99 00 50 2 00 116 26 114 59 113 28 I" 53 no 14 108 31 106 45 l°4 53 102 58 100 57 98 54 9 6 45 2 OO lO 113 29 112 04 no 36 109 04 107 29 i°5 5° 104 08 102 22 100 33 98 40 96 42 94 41 10 20 no 44 109 22 107 56 106 27 104 56 103 21 101 44 100 03 98 19 96 31 94 4° 92 47 20 30 108 II 106 50 105 28 104 03 102 34 101 04 99 29 97 53 96 14 94 32 92 47 91 00 30 40 105 47 104 29 103 09 101 46 100 21 98 53 97 24 95 52 94 17 92 4° 91 00 89 19 40 50 103 31 102 15 100 58 99 39 98 16 9° 53 95 27 93 58 92 28 9° 55 89 20 87 43, 50 3 00 101 22 100 09 98 54 97 37 96 17 94 58 93 34 92 10 9° 43 89 13 87 44 86 11 3 00 10 99 20 98 08 96 56 95 41 94 25 93 °7 91 47 90 26 89 °3 87 38 86 11 84 42 10 20 97 23 96 14 95 °3 93 51 92 37 91 21 90 04 8847 87 26 86 04 84 42 83 17 20 30 95 30 94 23 93 14 92 04 9° 53 89 40 88 26 87 10 85 53 84 35 83 15 81 52 30 40 93 42 92 36 91 30 90 21 89 12 88 02 86 50 85 37 84 22 83 °7 81 50 80 32 40 50 91 57 9° 53 89 48 88 42 87 35 86 26 85 17 84 06 82 55 81 42 80 28 79 13 50 4 00 9° 15 89 13 88 10 87 °5 86 00 84 54 83 47 82 38 81 28 80 18 79 °° 77 54 4 00 10 88 35 87 34 86 33 85 31 84 27 83 22 82 17 81 11 80 04 78 55 77 46 76 36 lO 20 8658 85 59 84 59 8358 82 56 81 54 80 50 79 45 78 4° 77 34 76 27 75 19 20 30 85 21 84 24 83 27 82 27 81 26 80 25 79 24 78 21 77 18 76 13 75 °8 74 °3 30 40 8348 82 51 81 55 8057 79 58 78 59 77 58 7° 58 75 56 74 53 73 5° 72 46 40 •50 82 15 81 20 80 25 79 28 78 3° 77 32 76 34 75 34 74 34 73 34 72 32 71 31 50 5 OO 80 44 79 49 78 19 •78 54 77 59 77 °3 76 06 75 °9 74 12 73 13 72 15 71 15 7° 15 5 OO lO 79 13 77 26 76 32 75 37 74 42 73 46 72 5° 71 53 7° 57 69 57 68 58 10 20 77 42 76 50 75 58 75 05 74 11 73 17 72 22 71 27 7° 32 69 36 68 39 67 42 20 30 76 11 75 22 74 29 73 37 72 46 71 53 7° 59 70 05 69 11 68 16 67 21 66 25 30 40 74 4i 73 52 73 01 72 10 71 19 70 28 69 35 6843 °7 5° 6656 66 01 65 07 40 50 73 « 72 22 71 33 7° 4,i °9 53 69 02 68 11 67 20 66 28 .65 36 64 43 63 50 50 6 00 71 42 7° 53 7° P5 69 16 68 27 67 37 66 47 6556 °5 °5 64 15 63 23 62 31 6 00 10 70 10 69 23 68 36 67 47 66 59 66 10 65 21 64 32 °3 42 62 52 62 02 61 n lO 20 68 40 67 54 67 07 66 20 65 32 64 44 63 56 63 08 62 19 61 31 60 41 59 5i 20 30 - 67 07 66 21 65 36 64 49 64 03 63 16 62 29 61 42 60 55 60 06 59 19 583° 30 40 65 35 64 50 64 05 63 19 62 34 61 47 61 62 60 16 59 29 58 02 58 43 57 55 57 °8 40 50 64 01 °3 17 62 32 61 49 61 04 60 18 59 33 5848 57 17 5° 31 55 44 50 7 OO 62 27 61 44 61 00 60 16 59 32 58 47 58 04 57 19 56 34 55 5° 55 °4 54 20 7 00 lO 60 50 60 07 59 25 5842 57 59 57 15 5° 33 55 49 55 °5 54 22 53 38 52 54 lO 20 59 13 583° 57 5° 57 °7 56 25 55 43 55 °l 54 17 53 34 52 53 52 09 51 27 20 30 57 34 56 53 56 12 55 31 54 5° 54 08 53 27 52 45 52 03 51 22 5° 39 49 58 30 40 55 54 55 14 54 33 53 53 53.13 52 32 51 51 51 11 50 3° 49 49 49 °9 48 28 40 50 > 54- 11 53 32 52 53 52 13 51 34 5° 54 5° 15 49 35 48 55 48 16 47 36 46 56 50 8 OO 52 28 51 49 51 10 5° 31 49 53 49 14 48 36 47 57 47 18 46 40 46 01 45 23 8 bo lO 50 42 50 04 49 27 48 49 48 11 47 33 46 55 46 18 45 39 45 °3 44 25 43 48 10 20 48 54' 48 17 47 4° 47 04 46 27 45 51 45 14 44 37 44 00 43 24 42 47 42 11 20 30 47 °3 46 28 45 52 45 13 44 39 44 °4 43 3° 42 54 42 18 41 44 41 08 4° 32 30 40 45 11 44 36 44 02 43 27 42 52 42 18 41 43 41 °9 4° 35 40 00 39 27 38 52 40 50 43 17 42 43 42 10 41 3° 41 02 40 28 39 55 39 22 38 49 38 16 37 43 37 n 50 9 00 41 20 40 47 4° 15 39 42 39-1° 38 37 3805 37 34 37 °i 36 30 35 58 35 27 9 OO lO 39 20 38 49 38 17 37 46 37 15 36 44 36 14 35 42 35 12 34 42 34 11 33 41 10 20 37 19 3648 3° i8 35 48 35 18 34 49 34 20 33 5° 33 21 32 52 32 23 31 54 20 30 35 14 34 46 34 17 33 48 33 19 32 51 32 23 31 55 31 27 31 °° 30 32 30 05 30 40 33 08 32 4° 32 13 31 46 31 18 30 52 3° 25 29 58 29 31 29 06 28 40 28 14 40 50 30 59 30 32 30 06 29 41 29 15 28 49 28 24 27 59 27 34 27 10 26 46 26 21 50 10 00 2847 28 22 27 58 27 34 27 10 26 46 26 22 25 59 25 36 25 13 24 5° 24 27 10 00 10 26 33 26 09 25 47 25 24 25 02 24 40 24 18 23 56 23 35 23 13 22 53 22 31 10 20 24 16 23 54 23 34 23 14 22 53 22 32 22 12 21 52 21 32 21 12 20 54 20 34 20 30 21 58 21 38 21 19 21 00 20 42 20 23 20 04 19 47 19 28 19 n 18 53 18 35 30 40 19 37 19 20 19 02 18 45 18 28 18 11 17 55 17 38 17 22 17 °7 16 51 16 34 40 50 17 15 iS 59 16 44 16 29 16 14 15 59 15 44 15 3° 15 16 15 °i 14 47 14 33 50 11 00 14 50 14 36 14 23 14 II 13 57 13 45 13 31 13 19 13 °6 12 55 12 42 12 30 11 00 10 12 24 12 13 12 02 II 51 n 40 n 29 11 19 II 08 10 58 10 47 10 37 10 17 lO 20 9 57 9 48 9 39 9 3i 9 22 9 13 9 °4 8 59 8 46 8 39 • 831 8 22 20 30 7 29 7 22 7 15 7 °9 7 02 6 55 6 49 6 43 6 3° 6 30 6 24 4 16 6 18 30 40 5 00 4 55 4 5° 4 46 4 41 4 37 4 33 4 29 4 24 4 20 4 12 40 50 2 30 2 27 2 25 2 23 2 21 2 18 2 16 2 14 2 12 2 10 2 08 2 06 50 12 OO 00 60 00 00 00 00 00 00 «o 00 00 00 00 12 OO - In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 174 AZIMUTH OR TRUE BEARING. LATITUDE 42°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 42°. .Hoar Angle. 36° 37°; 38°; 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. hi. o / / / / / 1 / / / / / / li. 111. 00 iSo oo 180 00 180 00 180 00 180 00 180 00 00 00 00 00 00 O 00 10 161 16 158 06 153 36 146 50 135 51 ' 117 16 89 10 60 41 41 35 30 18 23 21 18 45 IO 20 145 28 I140-43 134 37 126 38 116 17 103 17 88 20 73 09 59 38 48 43 40 15 33 46 20 30 '33 25 128 24 122 23 115 17 106 58 97 36 87 29 77 14 67 25 58 35 50 53 44 21 30 40 124 26 119 41 114 16 108 11 101 31 94 16 8639 78 55 71 19 64 08 57 31 51 32 40 50 117 39 113 19 108 33 103 23 97 48 91 55 85 49 79 3° 73 26 67 27 61 46 5° 25 50 1 00 112 21 108 26 104 15 99 46 95 °2 90 04 8831 8458 79 47 74 35 69 29 64 32 59 48 1 00 10 108 06 104 34 100 50 96 53 92 47 84 07 79 4° 75 11 70 45 66 25 62 10 10 20 104 34 101 23 98 01 94 31 90 52 87 °7 83 16 79 22 75 27 71 31 6738 6349 6458 20 30 l°l 33 98 39 95 36 92 27 89 12 85 50 82 25 78 57 75 25 7i 55 68 26 30 40 9° 57 96 16 93 3° 90 38 87 40 84 39 81 34 78 26 75 15 72 04 68 54 65 m 40 50 9° 37 94 09 91 36 8859 86 17 83 32 80 42 77 51 74 59 72 03 69 08 66 14 50 2 00 94 31 92 14 89 52 87 27 84 58 S2 25 79 5° 77 12 74 33 71 53 69 11 66 30 2 00 10 92 37 90 28 88 16 86 01 S3 42 81 21 7858 76 32 74 04 7i 36 69 06 68 47 6636 IO 20 90 49 88 49 86 45 84 40 82 31 80 19 7805 75 5° 73 32 7i 13 6633 20 30 89 08 87 15 85 20 83 21 81 21 79 19 77 12 75 °5 72 57 70 47 68 35 66 23 30 40 .87 34 85 47 83 57 82 07 80 12 78 16 76 19 74 19 72 18 70 16 68 13 66 08 40 50 86 04 84 22 82 38 8053 79 °5 77 16 75 25 73 32 71 38 69 43 67 45 65 48 50 3 00 84 36 83 00 81 22 79 42 78 00 76 16 74 31 72 44 7° 55 69 06 67 15 65 24 3 00 10 83 12 81 40 80 07 78 31 76 54 75 1° 73 36 71 55 70 11 68 28 66 41 64 55 10 20 81 si 80 23 78 53 77 22 75 49 74 16 72 40 71 04 69 25 °7 47 66 06 64 25 20 : 30 80 31 79 06 77 41 76 14 74 45 73 15 7i 44 70 11 68 38 67 04 65 28 63 51 30 40 79 12 77 52 76 29 75 06 73 41 72 15 70 48 69 19 67 49 66 19 6447 63 14 40 50 77 5° 76 38 75 19 73 58 72 37 71 14 69 5° 68 26 67 00 65 32 64 04 62 35 50 4 00 7° 39 75 25 74 09 72 52 71 33 7° 13 6853 67 31 66 08 64 45 63 20 61 54 4 00 10 75 24 74 11 72 58 71 44 70 28 69 12 67 54 6° 35 65 16 63 55 .62 34 61 II 10 20 74 =9 72 59 7i 48 70 37 69 24 68 10 66 55 65 39 64 22 63 °5 61 46 60 26 20 30 72 55 71 47 70 38 69 32 68 19 67 07 °5 55 64 41 63 27 62 13 60 56 59 39 30 40 71 41 70 35 69 28 68 22 67 13 66 08 66 04 64 54 63 43 62 31 61 19 60 05 58 50 40 50 7c 27 69 24 68 18 67 13 65 00 63 52 62 44 61 34 60 24 59 13 58 01 50 5 00 69 12 68 11 67 08 66 05 65 00 63 55 62 49 ,°l 43 6° 35 59 27 58 18 57 09 5 00 10 67 58 6658 55 57 64 55 63 53 62 50 61 46 60 41 59 36 58 31 57 22 56 16 10 20 66 43 65 44 64 45 63 46 62 45 61 44 60 40 59 39 . 5» 35 57 31 5626 55 21 20 30 65 27 64 30 °3 32 62 35 61 36 60 36 59 36 58 35 57 34 56 32 55 28 54 25 30 40 64 11 63 16 62 20 61 23 60 26 59 28 5° 19 58 29 57 3° 56 29 55 3° 54 28 53 27 40 50 62 55 62 02 61 06 60 12 59 15 57 22 56 25 55 25 54 27 53 28 52 28 50 " 6 OO 61 38 60 45 S" 5 , 1 5858 58 03 57 °8 56 13 55 16 54 21 53 23 52 25 51 26 6 OO 10 60 19 59 28 583° 56 28 56 5° 55 57 55 °3 54 08 53 13 52 20 51 21 5° 25 10 20 59 °i 58 11 57 19 55 37 54 45 53 52 52 59 52 05 51 II 50 16 49 22 '20 30 57 4i 56 52 56 01 55 13 54 22 53 3° 52 39 51 47 50 55 50 °3 49 1° 48 16 30 40 56 20 55 32 54 42 53 54 53 °6 52 16 51 26 5° 36 49 45 48 54 48 01 47 10 40 50 54 58 54 11 53 23 52 36 51 48 5° 59 50 11 49 23 48 33 47 43 46 52 46 01 50 7 OO 53 33 52 48 52 02 51 ifi 50 29 49 42 48 55 48 07 47 19 46 31 45 42 44 53 7 00 10 52 09 51 24 5° 39 49 55 49 °9 48 22 4 Z 3 l 46 5° 46 04 45 17 44 3° 43 42 10 20 5° 43 49 59 49 16 4832 47 46 47 °3 46 18 45 33 44 48 44 02 43 15 42 29 20 30 49 15 48 33 47 51 47 08 46 24 45 41 44 58 44 M 43 29 42 46 42 01 41 16 30 4P 47 46 47 05 46 23 45 43 44 59 44 18 43 36 42 53 42 11 41 28 40 44 40 00 40 50 46 16 45 3° 44 55 44 15 43 34 42 54 42 12 41 31 40 49 40 08 39 26 38 44 50 8 00 44 43 44 04 43 24 42 46 42 07 41 27 40 47 40 07 39 27 38 47 38 06 37 26 8 00 10 43 10 42 32 41 54 41 16 40 38 39 59 39 21 38 43 38 04 37 25 36 46 . 3° 06 10 20 41 33 4° 57 40 21 39 45 39 °8 38 3° 37 53 37 16 3638 36 01 35 23 34 46 20 30 39 57 39 22 3846 38 10 37 35 36 59 36 24 35 48 35 " 34 36 33 59 33 22 30 40 38 18 37 44 37 09 3° 36 36 01 35 27 34 52 34 18 33 43 33 09 32 33 31 59 40 50 36 37 36 04 35 31 34 59 34 26 33 53 33 20 32 47 32 13 31 4° 31 06 3° 33 50 9 00 35 55 34 23 33 52 33 21 32 49 32 17 31 45 31 14 30 42 30 11 29 39 29 06 9 00 10 33 11 32 41 32 10 31 41 31 1° 30 40 30 10 29 39 29 09 28 39 28 08 27 38 10 20 31 25 3° 56 30 27 29 59 29 30 29 02 28 33 28 04 27 35 27 07 26 37 26 09 20 30 29 37 29 io 28 42 28 lb 2748 27 21 26 54 26 27 25 59 25 33 25 05 24 38 30 40 27 48 27 22 26 56 26 31 26 05 25 4° 25 14 24 48 24 22 23 57 23 31 23 °6 40 50 25 5° 25 33 25 °9 24 44 24 20 23 57 23 32 23 08 22 44 22 21 21 56 21 33 50 10 00 24 °4 23 42 23 19 22 57 22 34 22 12 21 5° 21 27 21 05 20 43 20 20 1958 10 00 10 22 10 21 48 21 27 21 07 20 46 20 26 20 05 19 44 19 24 19 °3 18 42 18 23 IO 20 20 14 19 55 19 3° 17 42 19 17 1858 18 39 18 20 18 01 17 42 17 23 17 04 16 45 15 °8 20 30 18 17 18 00 17 26 17,08 16 51 1° 33 16 16 15 59 15 42 15 25 30 40 16 19 16 03 15 47 15 32 15 16" 15 01 14 46 H 31 14 16 14 00 13 45 13 29 40 50 14 19 14 06 13 51 13 38 13 24 13 " 12 57 12 44 12 31 12 17 12 03 11 50 SO 11 00 12 34 12 07 10 08 II 55 11 43 11 31 11 19 11 oS 1° 57 10 45 10 33 10 21 10 10 11 00 10 10 17 9 57 9 47 9 38 9 27 9 18 9 08 8 58 8 49 8 39 8 29 10 20 8 14 8 07 7 59 7 5° 7 43 7 35 7 27 7' 19 7 12 7 °4 6 56 6 49 20 30 6 11 6 06 5 59 5 54 3 56 5 47 5 42 5 36 5 29 5.24 5 18 5 12 5 "7 30 40 4 08 4 04 4 00 3 52 3 48 3 44 3 4° 3 36 3 33 3 29 3 25 40 50 2 04 2 02 2 00 1 58 1 56 1 54 1 52 I 5° 1 48 I 46 1 44 I 42 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when «the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 175 AZIMUTH OR TRUE BEARING. .LATITUDE 42°. DECLINATION — SAME NAME AS— LATITUDE. LATITUDE 42°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. / / / / / / / / / / / / li. 111. OO 00 00 00 00 00 00 00 00 00 00 00 00 00 10 r i 3 l 13 1° 11 22 9 5° 8 46 7 49 7 01 6 20 5 45 5 14 ' 4 47 9 28 4 23 8 41 lO 20 30 40 50 23 4<> 24 5° 21 42 19 09 17 02 15 15 13 45 12 27 11 20 10 20 20 38 53 34 17 30 26 27 10 24 24 22 01 19 58 18 09 16 35 15 11 13 56 12 49 30 4° 13 41 33 37 27 33 52 3° 43 27 58 25 3i 23 21 21 25 19 41 18 08 16 44 40 5i 3' 47 °2 42 58 39 18 36 00 33 °2 30 21 27 57 25 45 23 47 21 59 20 21 50 1 00 lO 20 30 40 50 55 19 5i °9 47 15 43 39 40 20 37 17 34 3° 31 57 29 36 27 27 25 29 23 4° 1 OO 58 06 54 13 5° 33 47 06 43 51 40 50 38 01 35 24 32 59 3° 43 28 38 26 40 10 60 07 56 32 53 °9 49 48 46 41 43 45 , 4° 58 38 20 35 52 33 33 31 23 29 21 20 61 35 58 16 55 °3 51 57 48 58 46 07 43 25 40 49 38 22 36 02 33 5° 31 45 30 62 37 59 33 5° 33 53 38 50 48 48 03 45 26 42 54 40 29 38 09 35 57 33 5° 40 63 21 60 29 57 4° 54 55 52 14 49 37 47 °5 44 38 42 15 39 58 37 47 35 4i 50 2 00 10 20 30 40 50 63 49 61 10 58 31 55 56 53 22 5° 52 48 27 46 04 43 45 41 31 39 21 37 15 2 OO 64. 05 61 36 59 °7 5&41 54 15 5i 52 49 32 47 13 44 59 42 49 40 42 38 37 10 64 12 61 51 59 3i 57 13 54 54 52 37 5° 24 48 11 46 00 43 54 41 49 39 47 20 64 11 < I5 § 59 46 57 34 55 21 53 12 51 °3 4856 46 51 44 47 42 45 40 46 30 64 03 61 58 59 52 57 47 55 41 53 37 5i 33 49 3° 47 31 45 3° 43 32 41 36 40 63 49 61 50 59 51 57 52 55 52 53 53 51 55 49 57 48 00 46 04 44 °9 42 15 50 3 00 63 31 6i 38 59 44 57 5i 55 5° 54 °3 52 03 5° 15 48 22 46 30 44 38 42 48 3 00 10 63 09 61 21 59 32 57 44 55 54 54 °5 52 15 50 26 48 37 46 48 45 °° 43 13 lO 20 30 62 43 60 59 59 1° 57 31 55 47 54 °2 52 16 5° 31 48 46 47 °o 45 16 43 31 20 62 13 60 34 58 54 57 15 55 34 53 53 52 12 5° 3° 48 48 47 °7 45 25 43 43 30 v 40 50 61 41 60 06 58 3° 56 54 55 17 53 4° 52 03 51 48 5° 24 48 46 47 °7 45 29 43 51 40 61 05 59 35 58 °3 56 3° 54 57 53 23 5° 14 48 39 47 °4 45 28 43 53 50 4 OO 60 28 59 °° 57 32 56 03 54 33 53 °3 5i 32 50 00 48 28 4 6 55 45 22 43 49 4 00 10 20 30 59 48 58 23 5658 55 33 54 °° 52 39 51 10 49 42 48 13 46 43 45 13 43 43 10 59 °5 57 44 5° 22 54 59 53 35 52 11 5° 45 49 20 47 54 46 27 45 °o 43 32 20 58 22 57 °3 55 43 54 23 53 °2 51 41 50 18 48 55 47 32 46 09 44 43 43 17 30 40 50 57 36 56 20 55 °2 53 45 52 27 51 °8 49 48 48 27 47 °6 45 45 44 23 43 °° 40 56 48 55 35 54 20 53 °5 51 49 5° 33 49 15 47 57 46 39 45 19 43 59 42 39 50 5 00 55 58 54 47 53 35 52 23 51 °9 49 55 48 40 47 24 46 07 44 5° 43 33 42 15 5 OO 10 20 55 07 53 58 52 48 51 38 5° 26 49 15 48 32 48 02 46 48 45 34 44 19 43 °4 41 48 10 54 15 53 °7 52 00 5° 52 4942 47 22 46 10 44 59 43 47 42 33 41 18 20 30 40 53 21 52 16 51 09 ■5° 93 48 5° 47 49 46 40 45 3i 44 20 43 1° '41 59 40 47 30 52 24 51 21 5° 17 49 13 48 08 47 °2 -45 56 44 48 43 4° 42 32 41 22 40 12 40 50 5i 27 50 26 49 24 48 22 47 18 46 14 45 09 44 °4 42 58 41 51 40 44 39 36 50 6 00 10 50 28 49 28 48 28 47 28 46 26 45 25 44 21 43 17 42 14 4i °9 40 04 38 57 6 OO 49 27 48 30 47 31 46 32 45 33 44 32 43 31 42 3° 41 27 4° 25 39 21 38 17 10 20 30 48 25 47 29 46 33 45 35 44 37 43 38 42 39 41 39 4° 39 39 39 38 37 37 35 20 47 22 46 28 45 32 44 36 43 40 42 43 41 46 40 48 39 5° 38 5° 37 5° 36 5° 30 40 46 17 45 24 44 3° 43 36 42 42 41 47 4° 51 39 54 38 57 38 01 37 °2 36 °3 40 50 45 11 44 19 43 28 42 34 41 42 40 48 39 54 38 59 38 04 37 °8 36 11 35 15 50 7 00 44 03 43 14 42 22 41 31 40 40 39 48 38 56 38 °3 37 °9 36 15 35 21 34 25 7 OO 10 42 54 42 06 41 16 40 26 39 37 38 47 37 55 37 °4 36 12 35 20 34 27 33 33 10 20 4i 43 40 56 40 08 39 20 38 31 37 43 36 54 36 04 35 13 34 23 33 32 32 4° 20 30 40 30 39 45 38 59 38 13 37 25 3638 35 51 35 °2 34 13 33 25 32 35 31 45 30 40 39 17 38 33 37 47 37 °3 36 18 35 32 34 46 33 59 33 13 32 25 31 37 3° 49 40 50 38 02 37 19 3° 36 35 52 35 °9 34 25 33 4° 32 55 32 10 31 24 30 38 29 51 50 8 OO 36 45 3° °3 35 21 34 40 33 58 33 15 32 32 31 49 31 06 3° 21 29 37 28 52 8 OO 10 35 27 34 47 34 °6 33 26 32 45 32 05 31 23 30 42 30 00 29 17 28 34 27 51 lO 20 34 07 33 29 32 49 32 II 31 32 3° 53 3° 13 29 33 28 53 28 12 27 30 26 49 2« 30 32 46 32 09 31 32 3° 55 30 17 29 39 29 01 28 22 27 44 27 °5 26 25 25 46 30 40 31 23 30 48 30 12 2 i 3 S 29 00 28 25 27 48 27 11 2636 25 57 25 19 24 4 1 40 50 29 59 29 26 28 51 28 18 27 42 27 09 26 34 25 58 25 24 24 48 24 II 23 35 50 9 00 28 34 28 02 27 29 26 57 26 24 25 51 25 18 24 44 24 11 23 36 23 °3 22 28 9 00 10 27 07 26 37 26 06 25 35 25 °3 24 33 24 00 23 29 22 58 22 25 21 52 21 20 10 20 25 39 25 II 24 41 24 12 23 42 23 13 22 43 22 12 21 43 21 13 20 42 20 ii 20 30 24 11 23 43 23 15 22 48 22 20 21 52 21 24 20 56 20 27 19 59 19 30 19 00 30 40 22 40 22 15 21 48 21 23 20 56 20 30 20 03 19 37 19 10 18 43 17 28 18 17 17 49 40 50 21 08 20 44 20 19 19 5° 19 31 19 07 18 42 18 17 17 52 17 02 163° 50 10 OO 19 36 19 14 18 51 18 28 18 05 17 42 17 20 16 57 16 34 16 11 15 47 15 23 10 00 10 18 02 17 41 17 20 16 59 16 38 16 17 15 57 15 35 15 14 14 53 14 31 14 10 10 20 16 27 16 08 15 49 15 3° 15 11 14 52 14 33 14 13 13 53 13 35 13 15 12 55 20 30 14 50 14 33 14 16 13 59 13 44 13 25 13 °7 12 50 12 33 12 16 II 57 11 39 30 40 13 14 12 59 12 43 12 28 12 13 11 57 11 42 II 27 II 10 1° 55 10 39 10 23 40 50 " 37 II 23 II 10 10 57 10 42 10 29 10 15 10 02 9 49 9 34 9 20 9 07 50 11 00 9 59 9 47 9 35 9 24 9 12 9 01 8 48 8 37 825 8 13 8 01 7 5° 11 OO 10 8 21 8 11 , 8 00 7 51 7 41 7 32 7 21 7 12 7 02 652 6 42 6 32 10 20 6 41 ° 33 °=5 6 17 6 10 6 01 5 54 5 46 . 5 38 5 31 5 22 5 14 20 30 5 01 4 55 4 5° 4 43 4 37 4 31 4 26 4 20 4 14 4 08 4 02 3 5° 30 40 3 21 3 17 3 13 3 °9 3 °5 3 01 258 2 53 2 49 2 46 2 41 2 37 40 50 1 40 I 38 I 36 I 34 1 32 1 3° 1 28 1 26 I 25 1 23 1 21 1 19 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the, meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 176 AZIMUTH OR TRUE BEARING. LATITUDE 42°. DECLINATION— SAME NAME AS- ■LATITUDE. LATITUDE 42°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / / / / / / / / / / n. m. OO OO 00 00 00 00 00 00 00 00 00 00 00 10 4 02 3 42 3 25 3 °9 2 55 2 42 2 30 2 18 2 08 158 ' " 42 IO 20 8 oo 7 22 6 48 6 17 5 48 5 22 4 58 4 36 4 15 3 5° 3 38 20 30 .1 49 1° 54 10 05 9 19 8 38 7 59 7 24 6 50 6 20 5 51 5 25 30 40 15 28 14 18 13 14 12 15 11 22 10 32 9 46 9 03 823 7 45 7 09 40 50 18 51 17 29 16 13 15 03 13 58 12 58 12 01 11 10 10 20 9 35 851 50 1 OO 22 OO 20 26 19 00 17 40 16 26 15 1° 14 12 13 11 12 14 11 21 10 31 1 00 io 24 52 23 1° 21 36 20 08 18 46 17 28 16 16 15 07 14 °4 13 03 12 05 IO 20 27 27 25 39 23 58 22 24 2° 55 19 3i 18 12 16 57 15 4° 14 40 13 3° 20 30 29 46 27 55 26 09 24 29 22 56 21 25 20 00 18 41 17 24 16 11 15 03 30 40 31 5° ' 29 55 28 06 26 22 24 45 26 24 23 II 21 42 20 17 18 55 17 37 i°#4 40 50 33 39 31 43 29 51 28 06 24 47 23 14 21 45 20 20 18 58 17 42 50 2 00 3 5 I5 . 33 19 31 26 29 38 27 54 26 15 24 39 23 07 21 39 20 14 18 53 2 OO 10 3°38 34 41 3248 31 00 29 16 27 32 25 5° 24 22 22 51 21 23 19 59 10 20 37 49 35 53 34 °i 32 13 30 27 28 45 27 t>5 25 30 23 57 22 27 21 00 20 30 3850 3° 55 35 05 33 17 31 31 29 48 28 08 26 32 24 57 23 25 21 56 30 40 39 41 37 5° 36 00 34 12 32 26 3° 43 29 04 27 27 25 51 24 18 22 48 40 50 40 24 - 38 34 3° 45 35 0° 33 15 31 32 29 52 28 15 26 39 25 05 23 34 50 3 00 40 59 39 " 37 25 35 39 33 57 32 15 3° 35 28 58 27 22 25 47 24 16 3 OO 10 41 27 39 41 37 5° 3° 13 34 32 32 51 31 12 29 35 27 59 26 25 24 53 10 20 41 48 40 05 38 22 3° 41 35 00 33 22 31 43 30 07 28 31 26 58 25 25 20 30 42 02 40 22 38 42 37 °3 35 24 33 46 32 09 30 35 3° 5° 28 59 27 26 25 54 30 40 42 12 4° 34 3856 37 19 35 43 34 °7 32 3° 29 22 27 49 26 18 40 50 42 17 4b 40 39 °° 37 3" 35 56 34 21 32 4° 31 14 29 41 28 09 26 38 50 4 OO 42 16 40 44 39 1° 37 37 36 04 34 31 32 59 31 27 29 55 28 24 26 54 4 00 i 10 42 13 40 41 39 1° 37 4° 36 08 34 37 33 °7 31 37 30 05 28 36 27 06 10 20 42 04 40 35 39 07 37 38 36 09 34 39 33 11 31 42 3° 13 28 44 27 15 20 30 41 52 40 25 38 59 37 32 3° 05 34 37 .33 1° ' 31 43 30 15 28 49 27 22 30 40 41 36 40 12 38 48 37 23 35 58 34 33 33 07 31 42 30 16 28 50 27 24 40 50 41 17 39 5° 38 33 37 11 35 48 34 25 33 01 31 38 30 12 28 48 27 23 50 5 00 40 55 39 3° 38 16 3^55 35 35 34 12 32 51 31 29 30 06 28 43 27 20 5 OO IO 40 30 39 14 37 5° 36 38 .35 18 '33 58 32 38 31 19 29 5° 2835 27 14 10 20 49 °4 38 49 37 33 36 16 34 59 33 41 32 22 31 °4 29 45 28 25 27 °5 20 30 39 34 38 21 37 07 35 52 34 37 33 21 32 04 30 48 29 30 28 12 26 54 30 40 39 02 37 5i 3°38 35 26 34 13 32 59 31 44 30 29 29 13 27 57 26 40 40 50 38 27 37 18 36 08 34 57 33 45 32 34 31 21 30 08 28 53 ' 27 39 26 24 50 6 OO 37 51 36 43 35 35 34 26 33 17 32 06 30 55 29 45 28 32 27 19 26 05 6 00 10 37 12 36 07 35 00 33 53 32 45 31 37 30 28 29 18 28 07 26 56 25 45 IO 20 36 31 35 28 34 23 33 18 32 12 31 °5 29 58 28 51 27 42 26 32 25 22 20 30 35 48 34 47 33 44 32 40 31 37 3° 32 29 26 28 21 27 13 26 05 24 58 30 40 35 03 34 °3 33 03 32 02 30 59 29 57 28 53 27 49 26 43 25 38 24 32 40 , 50 34 17 33 19 32 20 31 20 30 20 29 18 28 17 27 15 26 12 25 °8 24 03 50 7 00 33 29 32 33 31 35 ■ 3° 38 29 39 28 39 27 4° 26 39 25 38 24 36 23 33 7 00 10 32 38 31 44 3° 49 29 53 28 56 27 59 27 01 26 02 25 °2 24 03 23 02 10 20 31 48 3t> 55 30 02 29 07 28 12 27 17 26 20 25 24 24 26 23 28 22 29 20 30 30 54 30 °3 29 11 28 19 27 26 26 32 25 38 24 43 23 47 22 51 21 55 30 40 30 00 29 11 28 21 27 3° 26 39 25 47 ■24 54 24 02 23 07 22 13 21 18 40 50 29 03 28 17 27 28 26 39 25 50 24 59 24 09 23 18 22 26 21 33 20 40 50 8 00 28 06 27 21 26 34 25 47 25 °i 24 11 23 22 22 34 21 43 2° 53 20 02 8 00 10 27 07 26 23 25 39 24 53 24 08 23 22 22 34 21 47 20 58 20 10 19 21 10 20 26 07 25 24 24 42 23 58 23 15 22 30 21 45 21 00 20 13 19 26 18 40 20 30 25 06 24 25 23 44 23 02 22 20 21 38 20 54 20 11 19 26 18 4J 17 57 30 40 24 02 23 24 22 44 22 05 21 24 20 44 20 03 19 21 18 39 17 5° 17 13 40 50 22 59 22 22 21 45 21 07 20 27 19 49 19 10 18 30 17 49 17 °9 16 28 50 'J OO 21 53 21 18 20 42 20 06 19 30 18 53 18 16 17 39 17 00 16 22 15 41 9 00 10 20 47 20 14 19 39 19 05 18 31 17 5° 17 21 16 45 16 09 15 33 . 14 55 IO 20 19 39 19 08 18 36 18 04 17 31 16 59 16 25 15 52 15 17 14 42 14 07 20 30 18 31 18 01 17 32 17 01 16 30 15 59 ■15 28 14,5° 14 24 13 52 13 19 30 40 17 21 16 53 16 26 15 57 15 28 14 59 14 3° 14 01 13 3" 13 °° 12 29 40 50 16 11 15 45 15 19 14 53 14 26 14 00 13 32 13 °4 12 36 12 08 11 39 SO IO 00 14 59 14 3° 14 12 13 47 13 23 12 57 12 32 12 07 II 41 11 15 10 48 10 00 10 13 47 13 25 13 03 12 41 12 18 11 55 11 32 11 08 10 45 10 20 9 56 IO 20 12 35 12 16 " 54 11 34 11 14 10 52 10 31 10 09 9 48 9 27 9 °4 20 30 11 21 11 04 10 45 10 27 10 07 9 49 8 2 i 9 10 8 49 8 31 8 11 30 40 10 07 , 9 52 9 35 9 19 9 01 8 45 8 28 8 10 7 53 7 36 7 18 40 50 8 53 8 39 825 8 10 7 55 7 41 7 26 7 11 6 55 6 40 6 25 50 11 00 7 38 7 25 7 14 7 01 6 48 6 35 6 23 6 09 5 57 5 44 5 3° 11 OO 10 6 21 6 12 6 02 5 5i 5 41 5 3° 5 20 5 °9 4 57 4 47 4 35 10 20 5 06 4 58 4 49 4 41 4 33 4 24 4 16 4 07 3 59 3 50 3 41 20 30 3 50 3 43 3 37 3 32 3 25 3 18 3 12 3 06 2 59 2 52 2 46 30 40 2 34 2 29 2 24 2 21 2 16 2 13 2 08 2 04 1 59 ■ 058 I 50 40 50 1 16 1 14 1 13 1 11 I 08 I 06 1 04 1 02 1 00 56 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 177 AZIMUTH OR TRUE BEARING. LATITUDE 43°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 43°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. ;ii. in. o / / / / ' / / 1 / / / / ll. HI. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 oi 172 42 172 21 171 58 171 31 171 01 170 27 169 47 169 00 168 04 166 56 165 33 10 ao 166 08 165 33 i°4 53 164 08 156 44 163 18 162 21 161 16 160 02 158 36 156 55 154 54 152 29 20 30 -59 35 158 44 157 47 155 34 154 16 152 48 151 08 149 13 147 02 144 3° 141 30 30 40 153 21 152 17 151 08 149 51 148 27 14S 53 145 09 143 12 141 01 138 33 135 45 132 34 40 50 147 33 146 19 145 00 143 34 142 00 140 16 138 23 136 17 133 58 131 25 128 33 125 23 SO 1 00 142 09 140 50 139 24 137 52 136 12 134 24 132 26 130 17 127 57 125 23 122 35 119 32 1 OO 10 137 13 135 48 134 20 132 44 131 01 129 11 127 11 125 04 122 45 120 16 "7 36 114 42 IO 20 132 40 131 14 129 43 128 06 126 23 124 32 122 35 120 30 118 16 115 50 113 20 no 38 20 30 128 30 127 03 125 32 123 5° 122 13 120 25 118 31 116 29 114 20 112 04 109 40 107 08 30 40 124. 41 123 15 121 44 120 09 118 34 116 44 "4 51 112 54 no 52 108 43 106 27 104 05 40 SO 121 10 119 45 118 15 116 43 "5 05 113 22 in 3° 109 44 107 46 105 44 i°3 33 101 22 50 2 00 "7 51 116 31 "5 05 "3 33 in 58 no 19 108 37 106 49 104 58 103 02 IOT 01 99 19 2 OO 10 "4 55 "3 33 112 07 no 39 109 08 107 33 105 53 104 II 102 25 100 34 98 18 98 39 96 42 10 20 112 07 no 47 109 24 107 58 106 31 104 58 103 23 101 45 100 03 96 30 94 39 20 30 109 30 108 II 106 51 105 28 104 02 102 34 101 03 99 28 97 50 96 12 94 29 92 44 30 40 107 01 105 45 104 27 103 07 101 44 100 19 °I 5 J 97 22 95 48 94 13 92 3° 90 55 40 50 104 42 103 28 102 13 100 54 99 34 98 12 96 48 95 21 93 52 92 22 90 48 89 13 50 3 00 102 29 101 17 100 04 9849 97 32 96 12 94 51 93 28 92 03 90 36 89 06 87 35 3 00 io 100 23 99 I2 98 01 96 49 95 34 94 18 92 59 91 39 9° 17 88 54 87 28 86 01 10 20 98 22 97 14 96 05 94 54 93 41 92 27 91 12 89 55 88 36 87 16 85 54 84 28 20 30 96 26 95 20 94 13 93 05 91 54 90 42 89 29 88 15 86 59 85 41 84 22 83 02 30 40 94 31 93,30 92 21 91 17 §9 37 90 10 89 00 87 49 86 38 85 25 84 10 82 54 81 3° 40 SO 92 46 91 43 90 40 88 28 87 21 86 13 8503 83 52 82 40 81 27 80 11 50 4 OO 91 01 90 00 88 58 87 55 86 50 85 45 84 39 83 30 82 22 81 13 80 02 78 49 4 OO IO 89 18 88 18 87 18 86 16 85 14 84 10 83 06 82 00 80 54 79 46 7838 77 28 10 20 87 38 86 40 85 41 84 41 83 40 82 38 81 35 80 32 79 27 78 22 77 '6 76 07 20 30 86 00 8503 84 06 83 07 82 08 81 07 80 06 79 04 78 02 , 7658 75 53 74 47 30 40 84 23 83 27 82 31 81 34 80 36 79 37 78 37 77 37 76 36 75 35 74 32. 73 28 40 50 82 48 81 53 80 59 80 03 79 06 78 09 77 10 76 11 75 12 74 12 73 " 72 09 50 5 OO 81 14 80 20 79 26 78 31 77 36 76 40 75 44 7446 73 49 72 50 71 5i 70 50 5 00 10 79 39 78 48 77 55 77 01 76 07 75 13 74 17 73 21 72 25 71 28 70 30 69 32 IO 20 78 07 77 15 76 24 75 32 74 39 73 4° 72 52 7i 57 71 02 70 06 69 10 68 12 20 30 76 34 75 43 74 53 74 02 73 11 72 18 71 25 70 32 69 39 68 44 6 7,49 66 54 30 40 75 02 74 12 73 23 72 33 71 42 70 51 69 59 69 07 68 15 67 22 66 28 65 33 40 50 73 30 72 42 7i 53 71 04 70 14 69 24 6833 67 42 6651 65 59 65 07 64 13 50 6 OO 7i 58 71 10 70 22 69 34 6845 67 56 67 07 66 16 65 26 64 36 °3 45 62 53 6 OO 10 70 25 69 38 68 51 6803 67 15 66 28 65 40 64 51 64 02 °3 13 62 22 61 31 IO 20 68 52 68 06 67 20 66 34 65 47 65 00 64 12 63 24 62 36 61 47 60 59 60 09 20 30 67 18 66 33 6548 °5 03 64 16 63 31 62 43 61 57 61 10 60 22 59 34 5846 30 40 6544 °4 59 64 14 63 30 62 45 61 59 61 14 60 28 59 42 58 5° 58 10 57 21 40 50 64 09 63 25 62 42 61 57 61 13 60 29 59 44 58 59 58 14 57 28 56 43 55 57 50 7 ' 00 62 32 61 49 61 06 60 23 59 4° 58 57 58 12 57 28 56 45 56 00 55 1° 54 30 7 OO 10 60 54 60 n 59 29 58 48 5805 57 23 5640 55 57 55 14 54 30 53 47 53 03 10 20 59 15 58 34 57 52 57 « 56 30 55 48 55 06 54 24 53 42 53 00 52 18 51 35 20 30 57 35 56 54 56 14 55 34 54 53 54 12 53 31 52 50 52 09 51 28 50 47 50 05 30 40 55 53 55 13 54 34 53 55 53 15 52 35 51 55 5i 15 50 35 49 55 49 H 48 33 40 50 54 10 53 31 52 53 52 13 51 34 50 55 50 16 49 38 48 59 48 19 47 40 47 00 50 8 00 52 24 51 4fi 51 09 5030 49 52 49 14 4836 47 58 47 20 46 42 46 05 45 25 8 00 IO 50 38 50 01 49 23 47 3° 48 46 4? 09 47 32 46 55 46 18 45 42 45 04 44 28 43 5° 10 20 48 49 48 13 47 00 46 24 45 48 45 13 44 36 44 01 43 25 42 48 42 13 20 30 46 58 46 22 45 47 45 12 44 37 44 02 43 27 42 53 42 19 41 45 4i 09 4° 33 30 40 45 °4 44 30 43 56 43 22 42 49 42 14 41 40 41 06 40 33 39 59 39 26' 38 52 40 50 43 10 42 36 42 03 41 31 4° 57 40 25 39 52 39 19 38 47 38 14 37 43 37 10 50 » 00 41 11 40 39 40 08 39 36 39 04 38 32 38 01 37 3° 36 59 36 27 35 57 35 25 9 00 10 39 12 3841 36 40 38 10 36 10 37 40 37 09 36 39 36 09 35 39 35 09 34 39 34 09 33 39 IO 20 37 09 35 41 35 11 34 43 34 14 33 45 33 17 3248 32 20 31 51 20 30 35 05 34 37 34 09 33 41 33 13 32 4° 32 18 31 51 31 23 30 56 30 29 30 02 30 40 32 58 32 31 32" 04 31 38 31 n 30 45 30' 19 29 53 29 27 29 02 28 37 28 11 40 50 30 49 3° 23 29 58 29 33 29 08 28 44 28 19 27 54 27 30 27 06 26 42 26 18 50 10 OO 28 37 28 14 26 01 ,27 50 27 26 27 03 26 40 26 17 25 54 25 31 25 °9 24 46 24 24 10 00 10 26 23 25 39 25 17 24 55 24 34 24 12 23 51 23 30 23 09 22 48 22 27 10 20 24 08 23 47 23 27 23 06 22 46 22 27 22 07 21 48 21 28 21 08. 20 49 20 30 20 30 21 49 21 30 21 12 20 54 20 36 20 17 19 59 19 4i 19 24 19 07 18 49 18 31 30 40 19 29 17 08 19 12 18 56 18 39 18 22 18 06 17 50 17 34 17 18 17 02 16 47 16 31 40 SO 16 52 16 38 16 23 16 08 15 54 15 40 15 26 15 12 H58 14 44 14 30 50 11 OO 14 44 14 30 14 j8 H 05 13 53 13 40 13 28 13 15 ! 3 °3 12 51 12 39 12 38 11 00 IO 12 19 12 08 11 58 11 47 11 36 II 26 11 15 11 04 10 55 10 45 1° 35 10 25 10 20 9 53 9 44 9 35 9 26 9 18 9 09 9 01 f53 8 45 8 37 8 29 8 21 20 30 7 26 7 19 7 12 7 05 6 59 6.53 4 36 6 47 6 40 6 34 6 28 , 6 22 6 16 30 40 4 58 4 53 4 49 4 45 4 40 4 31 4 27 4 23 4 19 4 15 4 10 40 SO 2 29 2 26 2 24 2 22 2 20 2 18 2 16 2 14 2 12 2 ro 2 08 2 06 50 12 00 , 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02 12 178 AZIMUTH OR TRUE BEARING. L, ATI TCI BE 43°. DECI,INATION- -SAME NAME AS— LATITUDE. LATITUDE 43% , Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 470 Hour Angle. n. in. O f / / / / / t / / / / t h. in. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 00 O 00 10 163 47 161 29 158 21 153 55 147 11 136 16 117 37 §n 60 16 41 06 29 51 22 29 IO 30 149 3° 145 58 141 06 135 °° 127 01 116 37 103 29 72 53 59 13 48 12 39 44 20 30 137 59 133 46 128 46 122 44 «5 35 107 12 97 42 87 26 77 °i 67 04 5807 5° 22 30 40 128 56 124 45 120 00 »4 34 108 46 108 27 101 41 94 19 8635 78 43 71 01 63 44 57 °2 40 50 121 52 "7 55 "3 35 I°3 33 97 54 91 56 85 44 79 25 73 1° °7 °5 61 19 50 1 00 116 13 "2 35 108 40 104 25 99 53 95 °5 90 03 84 52 79 36 74 20 69 09 64 08 1 00 10 in 36 108 17 104 44 100 57 96 58 92 47 88 28 84 00 79 29 74 57 70 25 66 00 10 20 107 45 104 28 104 42 101 29 98 06 94 33 9° 5i 87 02 83 09 79 11 75 ir 71 11 67 15 20 30 101 39 98 44 95 39 92 27 89 09 85 45 82 16 78 44 75 11 71 37 68 03 30 40 101 35 99 01 96 19 93 3° 90 35 87 37 84 33 81 24 78 13 75 °° 71 46 68,32 40 SO 99 °3 9° 39 94 1° 91 35 8855 86 11 83 23 so 31 77 37 74 4i 71 44 68 47 50 a 00 96 46 94 31 92 12 89 48 87 22 84 51 82 16 79 39 76 59 74 17 71 33 68 50 2 00 10 94 4o 92 33 90 24 88 11 85 54 83 34 81 12 7845 76 17 73 47 71 16 68 44 IO 20 9 2 43 9° 45 88 44 8639 8432 82 21 So 08 77 52 75 34 73 15 7° 53 68 31 20 30 90 55 89 03 8709 85 11 83 12 81 09 79 °5 7658 74 49 72 39 70 27 68 14 30 40 89 12 87 27 85 39 83 48 81 55 80 01 78 03 76 03 74 02 71 59 &9 56 67 5° 40 50 87 35 85 55 84 13 82 28 80 41 78 52 77 °2 75 °9. 73 15 71 19 69 21 67 23 50 3 OO 86 02 84 26 82 49 81 10 79 3° 77 49 76 00 74 14 72 25 70 36 68 44 6652 3 00 10 84 32 83 00 81 28 79 53 78 16 76 38 75 °6 73 18 71 35 69 51 68 05 66 18 IO 20 83 05 81 37 80 09 78 39 77 °7 75 33 73 58 72 21 7o 43 69 04 67 24 65 42 20 30 81 40 80 16 7852 77 25 75 57 7428 72 57 7i 25 69 5i 68 16 66 41 65 "3 30 40 80 18 78 57 77 35 76 13 74 48 73 22 7i 56 70 27 68 58 67,27 65 55 64 22 40 50 7856 77 39 76 21 75 °l 73 4° 72 17 70 53 69 29 68 03 66 36 65 08 63 39 50 4 ' 00 77 36 76 22 75 °7 73 5° 72 32 7i 13 69 53 68 30 67 °9 65 45 64 20 62 54 4 00 10 76 17 75 °5 73 52 72 38 71 23 70 07 68 49 67 31 66 12 6451 63 29 62 06 10 20 74 59 73 49 72 39 71 27 70 15 69 02 67 47 6631 65 14 63 57 62 38 61 18 20 30 73 4i 72 34 7i 25 70 17 69 06 67 55 66 43 65 3° 64 16 63 01 61 45 60 29 30 40 72 24 71 18 7° 13 69 06 67 57 66 49 °5 39 64 28 63 17 62 04 60 51 59 37 40 50 71 08 70 03 6859 67 55 66 49 65 42 64 34 63 26 62 17 61 06 59 56 58 44 50 s 00 69 50 68 48 67 47 66 43 65 39 64 34 63 29 62 22 61 15 60 08 58 59 57 49 5 00 10 6833 67 33 66 32 65 31 64 29 63 27 62 23 61 18 60 14 59 °7 58 01 56 53 10 20 67 15 66 17 65 19 64 18 63 18 62 17 61 15 60 13 59 1° 58 05 57 °2 55 56 20 30 65 57 65 00 64 04 63 °5 62 07 61 07 60 07 59 °7 58 06 57 °4 56 01 54 58 30 40 64 40 63 44 62 48 61 51 60 54 59 57 5858 58 00 57 0° 56 00 54 59 53 57 40 50 63 20 62 27 61 33 60 37 59 41 58 45 57 49 56 52 55 54 54 55 53 56 52 56 50 6 00 62 01 61 08 60 16 59 22 5? °5 5828 57 33 5638 55 42 54 46 53 49 52 52 51 53 6 00 10 60 41 59 49 5858 57 13 56 19 55 26 54 32 53 37 52 41 51 46 5° 5° IO 20 59 20 58 3° 57 4° 56 49 55 57 -55 °6 54 13 53 21 52 27 51 34 50 39 49 45 20 30 57 58 57 09 56 20 55 3° 54 4° 53 5° 52 59 •52 08 51 16 5° 23 49 3° 48 37 30 40 56 35 55 47 54 59 54 11 53 23 52 33 51 44 5° 54 5° °3 49 12 48 21 47 29 40 50 55 « 54 24 53 38 52 51 52 03 51 16 50 28 49 39 48 5° 48 00 47 11 46 21 50 7 00 53 46 53 °i 52 15 51 29 5° 43 49 56 49 °9 48 22 47 34 46 46 45 58 45 °9 7 00 10 52 19 51 35 5° 51 5° °7 49 21 4» 35 47 5° 47 04 46 17 45 3° 44 45 43 57 10 20 50 52 5° °8 49 26 48 42 47 58 47 15 46 30 45 45 45 °° 44 15 43 3° 42 43 20 30 49 24 48 41 47 59 47 16 46 34 45 51 45 °8 44 25 43 41 42 57 42 13 41 28 30 40 47 53 47 12 4° 32 45 5° 45 °9 44 26 43 45 43 °3 42 21 41 38 40 56 40 12 40 50 46 21 45 41 45 °2 44 21 43 42 43 °I 42 21 41 40 40 59 40 18 39 37 38 54 50 8 00 44 47 44 °9 43 3i 42 52 42 12 41 34 4° 55 4° 15 39 35 38 55 38 15 37 34 8 00 10 43 '3 42 36 41 58 41 20 4° 43 40 05 39 27 38 49 38 10 37 32 36 54 36 15 10 20 41 37 41 00 4° 25 39 48 38 13 39 12 38 35 37 58 37 21 36 45 36 06 35 3° 34 52 20 30 39 59 39 23 38 48 37 38 37 °3 36 28 35 52 35 17 34 41 34 °4 33 28 30 40 38 19 37 45 37 » 36 37 36 04 35 3° 34 56 34 22 33 48 33 13 32 39 32 04 40 50 36 38 36 05 35 33 35 °° 34 29 33 56 33 23 32 5° 32 17 3i 44 31 12 3° 39 50 9 00 34 54 34 22 33 52 33 21 32 5° 32 18 31 48 31 16 3° 45 3° 13 29 42 29 11 9 00 10 33 10 32 39 32 10 31 4° 31 10 30 40 30 12 29 42 29 12 28 42 28 12 27 42 IO 20 31 23 3° 54 30 27 29 59 29 3° 29 02 28 34 28 05 27 37 27 09 26 40 26 ii 20 30 29 35 29 08 28 42 28 15 27 48 27 21 26 55 26 28 26 01 25 33 25 °7 24 4° 30 40 27 45 27 20 26 55 26 29 26 04 25 38 25 14 24 48 24 24 23 58 23 33 23 07 40 50 25 54 25 3° 25 06 24 43 24 19 23 56 23 32 23 08 22 45 22 21 21 57 21 34 50 10 00 24 01 23 39 23 17 22 55 22 33 22 II 21 49 21 27 21 05 20 43 20 21 19 59 10 00 10 22 07 21 46 21 26 21 06 20 45 20 25 20 04 19 44 19 24 19 °4 18 43 18 22 IO 20 20 12 19 52 19 34 19 15 18 57 18 38 18 19 18 01 17 42 17 23 17 °5 16 46 20 30 18 14 17 57 17 40 17 24 17 06 16 49 16 32 16 16 15 59 15 42 15 25 15 °8 30 40 16 16 16 00 15 45 15 3° 15 15 15 °° 14 45 .14 3° 14 15 14 00 13 45 13 29 40 50 14 17 14 03 13 49 13 36 13 22 13 °9 12 56 12 43 12 30 12 16 12 04 11 50 50 11 00 12 16 12 04 " 53 11 41 11 3° II 19 11 07 10 56 1° 45 10 33 10 21 10 10 11 OO io 10 15 10 05 9 56 9 45 9 36 9 27 9 16 9 °7 8 58 848 8 39 8 29 6 4 10 20 8 13 8 05 7 57 7 5° 7 42 7 34 7 27 7 19 7 11 7 °4 6 56 20 30 6 10 6 05 5 58 5 52 5 47 5 41 5 35 5 29 5 23 5 18 5 12 5 °7 30 40 4 07 4 °3 4 00 3 55 3 51 3 48 3 44 3 4° 3 36 3 32 328 3 25 40 50 2 04 2 01 1 59 1 58 1 56 1 54 1 52 1 5° 1 48 1 46 1 44 1 42 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 OO' 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 179 AZIMUTH OR TRUE BEARING. LATITUDE 43°. . DECLINATION- •SAME NAME AS— LATITUDE. latitude: 43°. Hour Angle. 48° 49° SOS 61° 52° 53° 54° 66° 56° 57° 58° 59° Hoar Angle. It in. o / / / / / / / / ' / / 1 / li 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 18 26 J 5 J 5 12 55 11 08 9 44 835 7 39 651 6 11 5 36 5 06 4 39 10 20 33 16 28 18 24 23 21 17 18 45 16 40 14 55 13 25 12 09 11 02 10 04 9 12 20 30 43 48 38 19 33 44 29 54 26 40 23 55 21 33 19 3i 17 43 16 10 14 48 13 33 30 40 51 01 45 40 40 59 36 53 33 18 30 09 27 24 24 58 22 49 20 55 19 12 17 39 40 50 55 56 50 58 46 27 42 22 38 42 35 24 32 25 29 45 27 21 25 11 23 14 21 26 50 1 OO 59 20 54 48 50 34 46 38 43 02 39 41 36 39 33 52 31 18 28 59 26 50 24 52 1 OO 10 61 43 57 35 •53 40 49 58 46 28 43 13 40 II 37 21 34 43 37 38 32 18 30 02 27 57 10 20 §3 24 59 38 56 00 52 3* 49 12 46 03 43 °5 40 17 35 10 32 51 3° 41 20 30 64 33 61 07 57 44 54 29 51 22 48 21 45 28 42 43 40 07 37 39 35 18 33 06 30 40 65 19 62 09 59 03 56 00 53 02 50 10 47 25 44 45 42 11 39 45 37 26 35 12 40 50 65 49 62 53 59 59 57 °9 54 22 51 37 48 59 46 25 43 56 41 32 39 H 37 01 50 2 00 66 06 63 22 60 40 57 59 55 22 52 47 5° 14 47 46 45 22 43 02 40 46 3836 2 OO 10 66 12 6338 61 06 58 37 5607. 53 39 51 14 48 52 46 33 44 17 42 04 39 5° lO 20 66 09 63 46 61 22 59 00 56 40 54 19 52 00 49 44 47 29 45 19 46 08 43 09 41 03 20 30 66 00 63 44 61 29 59 15 57 02 54 47 52 35 5° 24 48 15 44 °3 42 00 30 40 65 44 63 36 61 29 59 21 57 15 55 °7 53 °i 5° 55 48 5° 46 47 44 46 42 47 40 50 65 24 63 23 61 22 59 21 57 20 55 18 53 17 51 17 49 17 47 19 45 21 43 24 50 3 00 64 59 63 05 61 10 59 14 57 18 55 23 53 26 51 31 49 35 47 40 45 47 43 54 3 00 10 64 31 62 42 60 52 59 02 57 11 55 20 53 29 51 39 49 46 47 57 46 06 44 16 lO 20 63 59 62 15 60 31 58 46 56 59 55 13 53 26 51 39 49 52 4805 48 08 46 18 44 32 20 30 63 24 61 45 60 05 58 24 56 43 55 0° 53 17 51 35 49 5i 46 25 44 42 30 40 62 48 61 15 59 37 58 00 56 23 54 43 53 °5 51 25 49 46 48 06 46 26 44 46 40 50 62 09 °o 37 59 °5 57 31 55 58 54 23 52 48 51 12 49 36 47 59 46 23 44 45 50 4 00 61 27 59 59 58 30 57 01 55 31 53 59 52 27 50 55 49^22 47 48 46 14 44 40 4 OO lO 60 44 5 2 '? 57 53 56 27 55 0° 53 32 52 03 5° 33 49 03 47 33 46 02 44 31 10 20 59 58 583° 57 M 55 51 54 27 53 °2 51 36 50 09 48 43 47 15 45 47 44.17 20 30 59 " 57 52 56 32 55 12 53 5° 52 28 51 06 49 42 48 18 46 53 45 28 44 01 30 40 58 22 57 06 55 49 54 31 53 13 51 53 50 33 49 12 47 50 46 28 45 05 43 41 40 50 57 31 56 17 55 03 53 47 52 32 51 15 49 57 4838 47 19 46 00 44 40 43 18 50 5 OO 56 39 55 28 54 15 53 02 51 50 5° 35 49 20 48 03 46 47 45 2? 44 11 42 52 5 OO 10 55 46 54 36 53 27 52 16 51 05 49 52 48 39 47 25 46 12 44 5° 43 40 42 24 10 20 54 51 53 43 5248 52 36 51 27 50 18 49 08 47 57 46 46 45 34 44 20 43 06 41 52 20 30 53 53 51 43 50 37 49 29 48 21 47 13 46 03 44 53 43 42 42 31 41 19 30 40 52 55 51 52 50 48 49 44 48 40 47 34 46 27 45 19 44 12 '43 °3 41 53 40 43 40 50 51 56 50 55 49 53 48 5° 47 48 46 43 45 38 44 33 43 28 42 21 41 13 40 04 50 6 00 5° 55 49 56 48 55 47 55 46 54 45 51 44 48 43 45 42 41 41 36 40 31 39 25 6 00 10 49 52 48 55 47 56 46 57 45 59 44 58 43 57 42 55 41 52 40 50 39 46 38 42 lO 20 48 49 47 53 46 56 45 59 45 02 44 °3 43 °4 42 04 41 03 4° °3 39 OI 37 59 20 30 47 45 46 49 45 54 44 58 44 °3 43 <» 42 09 41 11 40 12 39 !3 38 13 37 12 30 40 46 38 45 44 44 51 43 57 43 03 42 07 41 12 40 15 39 19 38 22 37 24 36 24 40 50 45 29 44 38 43 46 42 53 42 01 41 07 40 14 39 19 38 24 37 28 3° 32 35 35 SO 7 00 44 20 43 29 42 39 4t 49 4° 59 40 05 39 14 38 21 37 28 36 33 35 39 34 44 7 OO 10 43' 09 42 20 41 32 40 43 39 53 39 °3 38 12 37 21 36 29 35 37 34 45 33 51 10 20 41 57 41 10 40 23 39 35 38 47 37 58 37 °9 36 20 35 29 34 39 33 48 32 57 20 30 4° 43 39 58 39 12 38 26 37 40 36 53 36 04 35 17 34 29 33 40 32 51 32 01 30 40 39 29 38 44 38 00 37 15 36 31 35 45 34 59 34 13 33 27 32 39 31 51 31 03 40 50 38 12 37 29 36 47 36 04 35 21 34 37 33 52 33 °8 32 23 31 37 30 51 30 04 50 8 OO 36 55 36 13 35 28 34 5° 34 09 33 26 32 44 32 01 31 17 30 33 2949 29 04 8 00 10 35 36 34 55 34 16 33 36 32 55 32 15 31 34 30 52- 30 10 29 29 28 46 28 03 10 20 34 15 33 36 3258 32 19 31 39 31 01 30 23 29 42 29 02 28 22 27 41 27 00 20 30 32 53 32 16 31 40 31 °3 3° 25 29 47 29 09 28 31 27 53 27 15 26 35 25 56 30 40 31 29 3° 54 3° 19 29 44 29 09 28 33 27 55 27 19 26 43 26 06 25 28 24 50 40 50 3" 05 29 31 28 58 28 23 27 50 27 15 26 40 26 06 25 31 24i55 24 19 23 43 50 9 OO 28 38 28 07 27 35 27 02 26 29 25 57 25 24 24 51 24 17 23 44 23 10 22 36 9 ' 00 10 27 12 26 41 26 II 25 39 25 °9 24 38 24 06 23 35 23 03 22 32 21 59 21 27 10 20 25 43 25 14 24 45 24 16 23 48 23 17 22 48 22 19 21 48 21 18 20 48 20 17 20 30 24 13 23 46 23 18 22 51 22 25 21 56 21 28 21 00 20 31 20 03 19 35 19 06 30 40 22 42 22 16 .21 51 21 25 21 00 20 33 20 07 19 41 19 15 18 48 18 21 17 54 40 50 21 II 20 46 20 22 19 58 19 35 19 10 1845 18 21 17 56 17 31 17 07 16 42 50 10 00 19 37 19 15 18 52 18 31 18 08 17 45 17 23 17 00 16 37 16 14 15 5i 15 27 10 00 10 18 03 17 43 17 21 17 01 16 41 16 19 15 59 15 38 15 17 14 56 14 34 14 13 10 20 16 28 16 09 15 50 15 32 15 12 14 53 14 35 14 16 13 56 13 38 13 18 12 58 20 30 14 51 14 34 14 17 14 01 13 44 13 27 13 09 12 52 12 34 12 17 12 00 II 43 30 40 13 14 12 59 12 44 12 29 12 14 11 59 11 43 11 29 11 13 10 57 10 42 10 26 40 50 11 37 II 24 II 10 10 57 10 44 10 30 10 17 10 03 9 50 9 37 9 22 9 09 50 11 00 9 59 9 47 • 9 36 9 25 9 13 9 01 8 50 839 8 27 815 8 03 7 51 11 00 lO 8 20 8 II 8 01 7 52 7 43 7 32 7 22 7 13 7 03 6 54 6 44 6 34 10 20 6 40 6 33 6 25 6 17 6 10 6 02 5 54 5 47 5 39 5 31 5 23 5 l i 3 56 20 30 5 01 4 55 4 49 4 43 4 38 4 32 4 26 4 20 4 15 4 08 4 03 30 40 3 21 3 17 3 13 3 09 3 06 3 °l 2 57 2 54 2 50 2 46 2 42 2 38 40 50 1 40 1 38 1 36 1 34 I 32 1 3° 1 29 d 1 27 1 25 1 23 1 21 1 20 50 12 OO 00 00 00 00 00 00 oo' 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 180 AZIMUTH OR TRUE BEARING. LATITUDE! 43°. DECLINATION— SAME NAME AS- ■LATITUDE. LATITUDE 43°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. ll. III. o / / / / / / / /* / / b. m. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 4 16 3 54 3 36 318 3 03 2 49 2 36 2 24 2 13 2 02 1 53 lO 20 8 26 7 45 7 08 6 34 6 04 5 35 5 10 4 46 4 24 4 °4 6 04 3 45 20 30 12 28 11 28 10 34 9 46 9 01 8 19 7 41 7 °7 6 34 5 35 30 40 16 16 15 00 13 51 12 48 11 52 10 58 10 09 9 23 8 41 8 01 7 24 40 50 19 48 18 19 1658 15 42 14 33 13 29 12 30 11 35 10 43 9 55 9 09 50 1 00 23 03 21 23 19 51 18 25 17 06 15 52 14 44 13 4° 12 41 11 44 10 51 1 OO 10 26 00 24 12 22 31 20 58 19 31 18 08 16 52 15 39 14 32 13 28 12 29 10 20 28 40 26 46 24 58 23 18 21 43 20 14 18 51 ■17 32 16 18 15 08 14 02 20 30 31 00 29 02 27 10 25 25 23 46 22 11 20 42 19 18 17 58 16 43 15 ft> 30 40 33 05 31 °4 29 09 27 21 25 38 23 59 22 25 20 56 19 3i 18 11 1654 40 50 34 54 32 52 30 56 29 05 27 18 25 36 24 00 22 26 20 58 19 33 18 12 50 2 00 36 29 34 27 32 30 30 38 28 50 27 05 25 25 26 43 23 49 22 17 20 49 19 25 2 00 10 37 51 35 50 33 52 31 58 30 11 28 24 25 °5 23 31 22 00 20 32 10 20 39 01 37' 01 35 04 33 12 31 22 29 36 27 53 26 13 2438 23 04 21 34 20 30 40 00 38 02 36 07 34 15 32 25 30 38 2856 27 15 2538 24 °3 22 31 30 40 4049 38 53 37 00 35 °9 33 21 31 34 29 5° 28 10 26 31 24 56 23 23 40 50 41 29 39 36 37 45 35 56 34 °8 32 23 3° 39 28 59 27 22 25 43 24 °9 50 3 OO 42 01 40 11 38 21 36 34 34 49 33 04 31 22 . 29 40 28 02 26 25 24 51 3 OO 10 42 27 40 39 3852 37 07 35 22 33 39 31 57 30 18 28 40 27 02 25 27 10 20 42 46 41 01 39 «« 37 32 35 5° 34 07 32 27 30 48 29 10 , 27 34 26 00 20 30 42 58 41 15 39 34 37 52 36 12 34 32 32 52 31 14 29 38 28 02 26 27 30 40 43 06 41 26 39 46 38 07 36 29 34 49 33 13 31 36 30 00 28 24 26 51 40 50 43 08 41 31 39 53 38 17 36 40 35 03 33 28 31 52 30 18 2843 27 10 50 4 OO 43 °5 41 31 39 56 . 38 22 36 47 35 12 33 39 32 04 30 31 2858 27 25 4 00 10 42 59 41 27 39 54 38 22 36 50 35 17 33 44 32 12 30 40 29 09 27 38 10 20 42 48 41 18 39 49 38 19 36 48 35 18 33 47 32 17 30 47 29 16 27 46 20 30 42 34 41 07 39 39 38 12 36 43 35 14 33 46 32 17 30 49 30 48 29 20 27 51 30 40 42 17 40 52 39 27 38 01 36 35 35 07 33 42 32 15 29 20 27 53 40 50 41 56 4° 34 39 10 37 47 36 23 34 58 33 33 32 06 3" 43 29 18 27 51 50 5 00 41 32 40 12 38 51 37 31 36 08 34 45 33 23 31 59 3° 36 29 11 27 47 5 00 10 41 06 39 48 38 29 37 " 35 5° 34 30 33 08 31 47 30 26 29 03 27 41 10 20 40 37 39 21 38 04 36 47 35 3° 34 11 32 52 31 32 30 12 28 51 27 31 20 30 40 06 38 52 37 37 36 22 35 07 33 49 32 32 31 15 29 56 28 38 27 18 30 40 39 31 38 20 •37 °7 35 54 34 4i 33 26 32 II 30 55 29 39 28 21 27 04 40 50 38 56 37 46 36 35 35 24 34 12 33 0° 31 46 3° 32 29 18 28 02 26 47 50 6 00 38 18 37 10' 36 01 34 52 33 42 32 31 31 20 30 07 28 55 27 41 26 27 6 00 10 37 37 36 31 35 24 34 18 33 °9 32 00 30 51 29 41 28 31 27 18 26 06 10 20 36 55 35 51 34 46 33 41 32 35 31 28 30 20 29 12 2803 26 53 25 43 20 30 36 11 35 °9 34 05 33 °3 31 59 30 52 29 48 28 41 27 34 26 26 25 17 30 40 35 « 34 25 33 23 32 22 31 20 30 16 29 13 28 08 27 03 25 57 24 5° 40 50 34 38 33 38 32 39 31 41 30 39 29 38 28 37 27 34 26 30 25 26 • 24 21, 50 7 00 33 47 32 51 31 54 3° 56 29 57 i 5 ? 27 58 26 57 25 55 24 54 23 5° 7 00 10 32 57 32 02 31 06 30 10 29 14 28 16 27 19 26 19 25 20 24 19 23 18 10 . 20 32 04 31 11 3° 17 29 24 28 29 26 48 2636 25 4° 24 41 23 43 22 44 20 30 31 10 30 19 29 27 28 35 28 35 27 42 25 54 2458 24 03 23 05 22 08 30 40 30 15 29 25 27 44 26 53 26 01 25 09 24 16 23 22 22 27 21 31 40 50 29 17 28 30 27 41 26 53 26 03 25 13 24 23 23 32 22 40 21 47 20 53 50 8 00 28 19 27 32 26 46 26 00 25 12 24 23 23 35 22 46 21 56 21 05 20 14 8 OO 10 27 19 26 35 25 5° 25 05 24 19 23 33 22 46 21 59 21 11 20 22 19 33 lO 20 26 18 25 36 24 53 24 °9 23 25 22 40 21 56 21 11 20 25 19 37 18 51 20 30 25 15 24 34 23 54 23 13 22 31 21 48 21 05 20 21 19 38 l» 53 18 07 30 40 24 12 23 33 22 54 22 14 21 34 20 53 20 12 19 31 18 49 18 06 17 23 40 50 23 07 22 30 ' 21 53 21 15 20 37 19 58 19 20 18 39 17 59 17 19 16 37 50 9 OO 22 01 21 25 20 51 20 15 19 38 19 01 18 24 17 47 17 08 16 29 15 51 9 00 10 20 53 20 20 19 47 19 13 18 38 18 03 17 29 . 16 53 16 17 15 41 15 04, 10 20 19 46 19 14 1843 18 II 17 38 17 06 16 33 15 58 15 25 14 5° 14 15 20 30 1836 18 07 17 37 17 07 16 37 16 06 15 35 15 03 14 31 13 58 13 26 30 40 17 27 16 59 16 31 16 03 15 34 15 °5 14 36 14 07 13 37 13 °° 12 35 40 50 16 15 15 50 15 24 14 58 14 32 14 °5 13 37 13 09 12 42 12 13 11 44 50 10 00 15 °5 14 40 14 16 13 52 13 27 13 03 12 37 12 12 11 46 11 20 1° 53 10 00 10 13 51 13 30 13 07 12 46 12 23 11 59 II 37 11 13 10 49 10 26 10 00 10 20 12 38 12 19 « 59 ;i 38 11 17 10 56 10 36 10 14 9 52 9 30 9 09 20 30 II 25 11 06 10 48 10 30 10 12 9 52 9 34 2 J 5 8 55 8 35 8 15 30 40 10 10 9 54 9 38 9 21 9 04 8 47 8 31 8 14 I 5Z 7 39 7 21 40 50 8 55 8 41 8 27 8 12 7 58 7 43 7 29 7 13 658 6 42 6 27 50 11 OO 7 39 7 27 7 15 7 02 6 50 6 37 6 25 A 12 5 59 5 46 5 33 4 38 11 00 lO 6 24 6 14 6 03 5 53 5 43 5 32 5 22 5 II 5 00 4 49 10 20 5 08 5 00 4 5° 4 43 4 35 4 26 4 18 4 09 4 00 3 51 3 43 20 30 3 5° 3 45 3 38 3 32 3 26 3 20 3 14 3 06 3 00 2 53 247 30 40 2 34 2 3° 2 25 2 22 2 17 2 13 2 08 2 05 2 00 1 56 1 52 40 50 1 18 1 15 1 13 1 11 1 09 1 07 1 04 I 02 1 00 58 56 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 181 AZIMUTH OR TRUE BEARING. LATITUDE 44°. DECUNATION- -SAME NAME AS^I,ATITUDE. LATITUDE 44°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. It. in. o / / / / / / / / / / / / Ii. 111. 00 iSo oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 20 173 04 166 16 172 45 172 25 172 01 171 3° 171 07 170 32 i°9 53 169 07 168 12 167 05 10 20 166 49 165 40 165 01 164 17 163 27 162 31 161 27 160 14 158 49 157 °9 155 10 20 30 40 160 30 159 4-4 15852 157 57 156 55 155 46 154 29 153 °2 151 -3 149 3° 147 20 144 48 30 154 29 153 31 152 28 151 19 150 04 148 41 147 09 145 25 143 29 l/| 1 20 138 52 13 6 05 40 50 148 50 147 44 146 32 145 13 143 48 142 14 140 32 I38 40 136 34 134 17 131 43 128 52 50 1 00 '43 34 142 22 141 03 139 38 138 06 136 27 134 39 132 41 130 33 128 13 125 4i 122 53 1 OO 10 138 41 137 24 136 01 134 33 132 58 131 15 129 25 127 27 125 18 123 01 120 32 117 50 10 20 134 12 132 51 '131 26 129 55 128 20 126 36 124 47 122 49 120 43 118 29 116 07 113 33 20 30 130 02 128 40 127 15 125 43 124 07 122 25 120 37 Il8 42 116 41 "4 32 112 15 109 50 30 40 126 11 124 50 123 24 121 54 120 18 118 38 "6 53 115 02 "3 05 in 02 108 52 l°6 35 40 SO 122 40 121 18 119 53 118 24 116 51 115 13 113 31 in 44 109 51 107 54 i°5 5° 103 43 50 2 OO 119 22 118 01 116 37 115 1° "3 40 112 05 no 26 108 43 i°6 55 i°5 03 103 07 101 04 2 OO 10 116 18 115 00 "3 38 112 12 no 44 109 12 107 37 105 58 104 14 102 28 100 37 98 42 10 20 113 27 112 10 no 49 109 27 108 01 106 32 105 01 103 25 101 46 100 05 98 20 96 30 20 30 no 46 109 30 108 12 106 52 105 30 104 03 t°2 35 101 03 99 29 97 51 96 11 94 27 30 40 108 15 107 01 105 45 104 27 103 07 101 43 100 18 98 50 97 19 95 47 94 1° 92 32 40 50 i°5 52 104 40 103 26 102 10 100 52 99 32 98 10 96 45 95 18 93 49 92 17 9° 43 50 3 OO 103 36 102 25 101. 13 100 00 98'44 97 27 96 08 94 47 93 22 91 57 90 29 89 00 3 00 10 101 25 100 17 99 °7 97 56 96 43 95 28 94 12 92 53 91 33 90 10 8846 87 20 10 20 99 21 98 15 97 07 95 57 94 45 93 34 92 20 91 °4 89 47 88 28 87 06 85 44 20 30 97 22 96 17 95 11 94 04 *P 55 91 45 9° 33 89 19 88 04 86 49 85 31 84 n 30 40 95 27 94 2j 93 20 92 14 91 07 89 58 88 49 87 39 86 26 85 12 83 57 82 41 40 50 93 36 92 34 91 3i 90 28 89 22 88 16 87 09 86 00 84 50 83 39 82 26 81 13 50 4 00 91 48 90 48 89 46 8843 8741 8637 85 32 84 24 83 16 82 08 80 58 79 46 4 OO 10 90 02 89 03 88 03 87 02 86 02 84 59 83 55 82 50 81 45 80 38 79 29 78 21 lO 20 88 19 87 21 86 23 85 23 84 24 83 23 82 21 81 18 80 15 79 !° 78 03 76 57 20 30 86 37 85 41 84 44 83 47 82 48 81 48 80 49 79 47 78 46 77 42 76 39 75 34 30 40 84 58 84 04 83 07 82 n 81 14 80 16 79 19 78 18 77 18 76 16 75 14 74 12 40 50 S3 21 82 27 81 32 80 37 79 41 78 44 77 48 7° 5° 75 5° 74 51' 73 51 72 5° 50 5 00 81 43 80 51 79 57 79 04 78 09 7638 77 14 76 18 75 21 74 24 73 26 72 27 71 28 5 00 lO 80 OS 79 16 78 24 77 31 75 43 74 49 73 54 7258 72 02 71 °3 70 06 lO 20 78 33 77 41 76 50 75 59 75 07 74 14 73 20 72 27 71 32 7° 37 69 41 68 46 20 30 7658 76 08 75 18 74 27 73 36 72 44 71 52 7° 59 70 06 69 13 68 18 67 24 30 40 75 23 74 35 73 45 72 55 72 06 71 15 70 23 69 32 68 40 67 48 66 55 66 01 40 50 73 49 73 °i 72 13 ■ 71 24 7° 34 69 46 68 56 68«6 67 14 66 24 65 31 64 39 50 6 OO 72 15 71 27 70 40 !5 52 69 05 68 15 67 27 66 37 6548 6458 64 07 63 16 6 OO lO 7° 39 69 53 69 06 68 20 67 33 66 45 65 58 65 10 64 21 63 32 62 42 61 53 10 20 69 05 68 20 67 34 66 48 66 02 65 15 64 29 °3 41 62 54 62 06 61 17 60 28 20 30 67 30 66 45 65 59 65 15 64 30 63 44 62 58 62 12 61 25 60 39 59 5' 59 °4 30 40 65 53 65 09 64 25 63 41 62 57 62 12 61 '27 60 42 59 56 59 1° 58 24 57 38 40 50 64 16 63 33 62 50 62 06 61 23 60 39 59 55 59 11 58 27 57 42 56 56 56 1 1 50 7 OO 62 38 61 56 61 13 60 30 59 48 59 °5 58 22 57 39 56 55 56 n 55 27 54 44 7 . OO 10 60 59 60 17 59 35 58 53 58 12 57 29 5648 56 05 55 23 54 4° 53 57 53 14 10 20 59 19 58 38 57 57 57 16 56 35 55 54 55 13 54 31 53 49 53 °8 52 25 51 44 20 30 57 37 56 56 56 16 55 37 54 56 54 17 53 3° 52 5° 52 15 51 35 5° 53 5" 13 30 40 55 53 55 14 54 35 53 56 53 17 52 37 51 58 51 19 50 40 50 00 49 19 48 40 40 50 54 09 53 31 52 53 52 14 51 36 5058 50 20 49 41 49 °2 48 24 47 45 47 06 50 8 OO 52 23 51 45 51 °7 5° 3° 49 53 49 15 48 38 48 01 47 23 46 46 46 d7 45 3° 8 OO 10 50 34 49 58 49 21 48 44 48 09 47 32 46 56 46 20 45 43 45 °7 44 29 43 54 lO 20 48 44 48 09 47 33 46 57 46 22 45 47 45 11 44 3fi 44 °l 43 26 42 49 42 15 20 30 46 53 46 17 45 43 45 08 44 35 44 00 43 25 42 52: 42 18 41 43 41 08 4o 34 30 40 44 59 44 25 43 51 43 17 42 45 42 12 41 38 ' 41 05 40 32 39 59 39 26 38 53 40 50 43 02 42 30 41 57 41 25 40 54 40 21 39 49 39 17 38 44 38 13 37 41 37 1° 50 9 OO 41 05 40 32 40 01 39 3° 39 °° 38 28 37 57 37 27 3656 36 25 35 55 35 25 » OO 10 39 03 38 33 38 03 37 33 37 °4 36 34 36 04 35 35 35 °5 34 37 34 °7 33 38 lO 20 37 02 3° 32 36 04 35 35 35 0° 34 38 34 10 33 41 33 13 32 45 32 17 31 49 20 30 34 56 34 28 34 °° 33 34 33 °7 32 39 32 13 31 45 31 19 30 53 30 26 30 00 30 40 32 49 32 23 31 57 31 31 31 °5 3° 39 3" 13 29 49 29 23 28 58 28 33 28 08 40 50 30 40 30 15 29 5° 29 26 29 01 28 38 28 13 27 50 27 26 27 02 2638 26 15 50 10 OO 28 29 28 05 27 42 27 19 26 56 26 34 26 12 25 49 25 26 25 °5 24 42 24 21 10 00 lO 26 15 25 53 25 31 25 10 24 49 24 28 24 °7 23 46 23 26 23 °5 22 44 ' 22 25 10 m 20 23 59 23 39 23 19 22 59 22 40 22 21 22 01 21 43 21 23 21 04 20 45 20 27 20 30 21 41 21 24 21 05 20 47 20 30 20 12 19 54 19 37 19 20 19 °3 18 46 18 29 30 40 19 22 19 °5 18 49 18 33 18 17 18 01 17 45 17 29 17 14 16 59 16 44 16 29 40 50 17 01 16 46 16 32 16 17 16 03 15 49 15 36 15 22 15 °8 14 54 14 40 14 28 50 11 00 14 38 14 26 14 12 14 00 13 48 13 36 13 24 13 13 13 °° 12 48 12 37 12 26 11 OO 10 12 14 12 04 II 53 II 42 II 32 II 22 n n 11 02 10 52 10 42 10 32 10 22 10 20 9 49 9 41 9 31 9 23 9 15 9 07 8 59 851 8 43 8 35 8 27 8 19 20 30 7 22 7 16 7 °9 7 °3 6 57 6 51 6 44 6 38 6 33 6 27 6 20 6 15 30 40 4 55 4 5i 4 47 4 43 4 38 4 34 4 3° 4 26 4 22 4 18 4 14 4 10 40 50 2 28 2 26 2 23 2 21 2 19 2 17 2 15 2 13 2 11 2 09 2 07 2 05 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 182 AZIMUTH OR TRUE BEARING. LATITUDE 44°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 44°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / / / / / / / / / / b. 111. 00 iSo oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 00 10 165 43 163 59 161 43 15838 154 14 147 34 136 43 118 00 89 08 59 5o 4»3& 29 24 lO ao 153 46 149 50 146 09 141 29 135 25 127 26 116 58 103 41 88 16 72 36 58 45 47 4i 20 30 141 50 138 21 134 09 129 08 123 06 "5 55 107 27 97 49 87 24 76 47 66 43 57 39 30 40 132 54 129 18 125 07 120 20 114 52 108 42 101 51 94 24 86 31 78 31 7° 43 63 19 40 50 125 42 122 10 118 13 113 51 109 00 103 44 98 02 91 57 85 39 79 15 72 52 66 42 50 1 00 119 49 116 29 112 50 108 53 104 36 100 01 95 °9 90 02 84 46 79 25 74 04 68 48 1 00 10 114 56 III 50 108 29 104 53 1 01 05 97 03 92 49 f, 25 83 54 79 18 74 4° 70 06 10 20 no 50 107 57 104 52 101 37 98 11 94 35 90 51 8659 83 01 78 59 74 55 7° 53 20 30 107 18 104 37 101 46 98 48 95 42 92 28 8907 85 39 82 08 78 33 74 55 71 17 30 40 104 12 101 43 99 05 96 21 93 30 §S 35 87 33 84 26 81 15 78 00 74 44 71 274 40 50 101 27 99 07 96 41 94 10 91 34 88 52 86 05 83 15 80 21 77 24 74 25 7i 25 50 2 00 9858 96 48 94 31 92 11 89 46 87 17 84 43 82 07 79 27 76 45 74 °° 7i 15 2 00 10 96 43 94 4° 92 33 90 22 88 06 8548 83 26 81 01 78 33 76 03 73 3i 70 57 10 20 94 37 92 42 90 42 8839 8633 84 23 82 12 79 56 77 39 75 19 72 57 7° 34 20 30 92 41 90 51 88 59 87 03 85<>5 83 03 8059 78 53 76 44 74 33 72 17 70 06 30 40 90 51 89 07 87 20 85 31 83 39 81 45 79 48 77 5° 75 49 73 45 7i 41 69 36 40 50 89 07 87 28 85 47 84 03 82 17 80 30 78 4° 76 47* 74 53 72 57 70 59 69 01 50 3 00 87 27 85 53 84 17 82 38 80 58 79 16 77 31 75 45 73 57 72 07 7° 15 68 23 3 00 10 85 51 84 22 82 50 81 16 79 4i 78 03 76 23 74 43 73 00 71 16 69 30 67 43 10 20 84 19 82 53 81 25 79 56 78 25 76 52 75 17 73 41 72 03 70 24 6843 67 01 20 30 82 50 81 28 80 03 78 37 77 10 75 41 74 11 72 39 71 °5 69 31 . 67 54 66 17 30 40 81 22 80 03 78 42 77 20 75 56 74 31 73 05 71 37 70 07 68 35 67 04 65 32 40 50 79 57 78 42 77 23 76 04 74 44 73 21 71 58 7o 35 69 08 67 41 66 13 64 44 50 4 OO 78 34 77 20 76 05 74 49 73 31 72 12 70 52 69 32 68 09 66 45 65 20 63 55 4 00 10 ■ 77 10 75 59 74 47 73 33 72 18 71 03 69 46 68 28 67 08 65 48 64 26 63 05 10 20 75 49 74 40 73 31 72 19 71 07 °9 54 68 40 67 24 66 08 64 50 63 32 62 13 20 30 74 28 73 21 72 14 71 05 69 55 68 44 67 33 66 20 65 06 63 51 62 35 61 19 30 40 73 °8 72 04 70 57 69 50 6843 67 35 66 25 65 15 64 04 62 52 61 38 60 25 40 50 71 48 70 45 • 69 41 6837 67 3i 66 25 65 IS 64 09 63 01 61 51 60 39 59 28 50 5 OO 70 27 69 26 68 09 68 24 67 22 66 18 65 14 64 09 63 03 61 56 60 48 59 4° 58 31 5 OO 10 69 07 67 08 66 07 65 06 64 04 63 00 61 57 60 51 59 46 58 39 57 32 10 20 67 48 66 50 °5 51 64 52 63 52 62 52 61 51 60 48 59 4° 5» 42 57 3» 56 33 20 30 66 28 65 32 64 34 °3 37 62 39 61 40 60 43 59 4° 58 39 57 37 5636 55 32 30 40 65 06 64 13 °3 17 62 20 61 24 60 27 59 29 5» 3° 57 31 56 31 55 30 54 30 40 50 63 46 62 53 61 59 61 04 60 10 59 13 58 17 57 20 56 23 55 24 54 26 53 26 SO 6 00 62 24 61 32 60 40 59 47 58 53 57 59 57 04 56 09 55 13 54 16 53 19 52 22 6 00 10 61 02 60 12 59 20 58 28 57 36 56 44 55 5i 54 57 54 02 53 °7 52 n 5 1 T § 10 20 59 39 58 51 58 00 57 °9 56 19 55 28 54 35 53 43 52 5° 5i 57 51 02 50 08 20 30 5| 15 57 28 56 39 55 49 54 59 54 10 53 19 52 28 51 37 50 45 49 53 49 00 30 40 56 51 56 04 55 17 54 28 53 40 52 51 52 02 51 13 50 23 49 32 48 41 47 50 40 50 55 25 54 39 53 53 53 07 52 20 51 32 50 44 49 56 49 °7 48 18 47 29 46 39 50 7 OO 53 59 53 15 52 29 51 44 5058 50 12 49 25 48 38 47 5° 47 03 46 15 45 27 7 OO 10 5 2 3o 51 47 51 03 5° 19 49 34 48 50 48 04 47 18 46 33 45 46 45 00 44 13 10 20 51 01 50 19 49 37 48 08 48 53 48 10 47 26 46 42 45 58 45 13 44 29 43 44 42 58 20 30 49 31 48 5° 47 27 46 45 46 03 45 19 44 36 43 53 43 10 42 25 41 42 30 40 47 59 47 20 46 39 45 58 45 18 44 37 43 55 43 13 42 31 41 49 41 07 40 24 40 50 46 27 45 48 45 °9 44 28 43 49 43 10 42 29 41 49 41 08 40 27 39 47 39 °5 50 8 00 44 52 44 14 43 37 42 58 42 19 41 40 41 02 40 23 39 44 39 °4 38 24 37 45 8 00 10 43 17 42 40 42 03 41 26 4° 49 40 II 39 34 3856 38 18 37 40 37 °l 36 23 10 20 41 39 41 04 40 28 39 52 39 16 3841 38 04 37 28 36 51 36 14 35 37 35 °° 20 30 40 00 39 26 38 52 38 17 . 37 41 37 07 36 33 35 57 35 22 34 47 34 11 33 36 30 40 38 19 37 47 37 13 36 40 36 06 35 34 34 59 34 26 33 52 33 18 32 44 32 10 40 50 36 38 36 06 35 34 35 02 34 3° 33 58 33 25 32 53 32 21 31 48 31 16 3° 44 50 9 00 34 54 34 23 33 53 33 22 32 51 32 20 31 5° 31 19 30 48 30 17 29 46 29 15 9 00 10 33 °8 32 39 32 II 31 41 31 12 3° 43 3° 13 29 44 29 14 2845 28 15 27 46 10 20 31 21 3" 54 30 26 29 58 29 31 29 04 28 35 28 07 27 39 27 12 26 43 26 15 20 30 29 33 29 07 28 41 28 14 27 48 27 22 26 55 26 29 26 03 25 36 25 °9 24 43 30 40 27 43 27 18 26 53 26 28 26 04 25 39 25 14 24 5° 24 25 24 00 23 35 23 10 40 50 25 51 25 28 25 05 24 41 24 18 23 56 23 32 23 09 22 46 22 23 21 59 21 37 50 10 OO 23 59 23 37 23 16 22 54 22 32 22 11 21 49 21 27 21 06 20 44 20 22 20 01 10 00 10 22 04 21 45 21 24 21 04 20 44 20 24 20 04 19 44 19 24 19 05 18 44 18 24 10 20 20 08 19 53 19 32 19 14 1855 18 37 18 18 18 00 17 42 17 24 17 °5 16 47 & 20 • 30 30 18 11 17 55 17 38 17 22 17 05 16 48 16 31 16 15 15 59 15 43 15 26 15 09 40 16 13 15 59 15 43 15 28 15 13 14 59 14 44 12 56 14 29 14 14 14 00 13 45 13 3° 40 50 14 14 14 01 13 48 13 35 13 22 13 09 12 42 12 30 12 17 12 04 11 51 50 11 00 12 14 12 02 11 51 11 40 11 28 II 17 n 06 1° 55 10 44 10 33 10 22 10 10 11 00 10 10 13 10 03 9 5} 9 45 9 35 9 25 9 16 9 07 8 58 8 48 8 39 8 30 10 20 8 11 8 04 7 56 7 49 7 41 7 34 7 26 7 19 7 11 7 03 6 56 6 49 20 30 6 09 6 03 5 58 5 52 5 46 5 40 5 34 5 29 5 23 5 18 5 13 5 07 30 40 4 06 4 02 3 58 3 55 3 51 3 47 3 44 3 4° 3 36 3 32 3 28 324 40 50 2 03 2 01 1 59 1 57 1 5° 1 54 1 52 1 5° 1 48 I 46 1 44 1 42 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East ; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East ; and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 183 AZIMUTH OR TRUE BEARING. LATITUDE 44°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 44°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / / / / / / / / / ° ! / / b. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 O 00 io 22 35 18 06 14 57 12 40 10 53 9 31 8 23 7 28 6 41 6 01 5 27 4 57 10 20 39 ™ 32 45 27 48 23 50 20 51 18 22 16 17 14 34 13 06 11 50 10 44 948 20' 30 49 5° 43 15 37 45 33 " 29 21 26 09 23 24 21 05 19 °4 17 18 15 46 14 23 30 40 56 32 50 27 45 °5 40 23 36 16 32 42 29 34 26 51 24 26 22 18 20 24 24 36 18 42 40 50 60 52 55 24 50 24 45 5i 41 45 38 04 34 45 31 47 ~ 29 09 26 44 22 38 50 1 00 63 42 5850 54 16 49 59 46 01 42 23 39 °2 36 00 33 13 30 39 28 20 26 11 1 00 10 6§ 37 61 14 57 04 53 06 49 21 45 50 42 33 39 30 36 40 34 02 31 37 29 21 10 20 66 52 62 56 59 08 55 27 51 55 48 34 45 23 42 24 39 35 3°56 34 27 32 08 20 30 67 4.1 64 07 60 37 57 13 53 54 5° 45 47 42 44 47 42 01 39 24 36 55 34 34 30 40 68 10 64 54 61 42 58 32 55 26 52 27 49 32 46 44 44 03 41 29 39 01 36 41 40 50 68 25 65 25 62 26 59 29 56 35 53 46 51 00 48 19 45 44 43 13 40 48 38 28 SO 2 00 68 28 65 41 62 55 60 10 57 27 54 47 52 09 49 35 47 05 44 39 42 18 40 01 2 00 10 68 22 65 47 63 !? 60 38 58 04 55 33 53 03 50 36 48 12 4 5- 5 S 43 33 41 19 10 20 68 10 65 44 63 19 60 54 58 29 56 05 53 43 5i 23 49 °4 46 48 44 35 42 24 20 30 67 51 65 34 63 18 61 02 58 44 56 28 54 13 Si 58 49 45 47 34 45 25 43 18 30 40 67 28 65 19 63 10 61 02 58 51 56 41 54 32 52 24 50 16 48 09 46 05 44 01 40 50 67 00 64 59 62 56 60 54 5851 56 47 54 43 52 40 50 37 48 36 46 36 44 36 50 3 00 66 29 64 34 6238 60 41 58 43 56 46 54 48 52 50 50 52 48 55 46 59 45 03 3 OO 10 65 54 64 05 62 14 60 24 58 31 5638 54 46 52 52 50 59 49 °7 47 14 45 22 IO 20 65 18 63 34 6l 48 60 02 58 14 5° 27 54 38 52 50 51 01 49 13 47 24 45 35 20 30 64 38 62 59 6l 18 59 36 57 53 56 10 54 26 52 42 50 57 49 12 47 27 45 42 30 40 63 56 62 22 60 45 59 07 57 29 55 49 54 10 52 29 50 48 49 06 47 26 45 44 40 50 63 13 61 42 60 09 5» 35 57 00 55 25 53 49 52 12 50 37 48 57 47 19 45 40 50 4 00 62 28 60 59 59 31 58 01 s( 30 54 58 53 24 51 51 50 17 48 43 47 08 45 32 4 00 10 61 40 60 15 5850 57 23 55 55 54 27 52 57 51 28 49 57 48 25 46 53 45 20 10 20 60 51 59 29 5807 56 44 55 19 53 53 53 18 52 27 51 00 49 33 48 04 46 36 45 05 20 30 60 01 58 42 57 23 56 02 54 49 51 54 50 31 49 05 47 39 4° 13 44 46 30 40 59 °9 57 53 56 36 55 18 53 59 52 39 51 18 49 58 48 36 47 12 45 48 44 25 40 50 .58 15 57 02 55 48 54 32 53 15 51 59 50 41 49 22 48 03 46 42 45 21 43 59 50 5 00 57 20 56 09 54 57 53 44 52 3° 51 16 50 00 48 44 47 27 46 09 44 51 43 31 5 OO 10 56 24 55 15 54 05 52 54 51 43 50 32 49 18 48 04 46 49 45 34 44 17 43 00 IO 20 55 26 54 20 53 12 52 04 50 54 49 44 48 33 47 22 46 09 44 56 43 42 42 27 20 30 54 27 53 23 52 17 51 II 50 03 48 56 A l 47 4638 45 ?7 44 17 43 05 41 52 30 40 53 27 52 24 51 21 50 j6 49 II 48 05 4658 45 5i 44 43 43 34 42 25 41 14 40 50 52 26 51 25 50 23 49 20 48 17 47 14 46 09 45 04 43 57 42 50 41 43 40 35 50 6 00 51 22 5° 23 49 24 48 23 47 22 46 20 45 17 44 14 43 09 42 04 40 59 39 52 6 00 10 50 18 49 21 4» 23 47 24 46 24 45 24 44 23 43 22 42 19 41 17 40 13 39 09 10 20 48 06 48 18 47 21 46 24 45 25 44 27 43 28 42 29 41 30 40 27 39 26 38 37 38 23 20 30 47 12 46 17 45 22 44 26 43 29 42 32 4i 34 40 35 39 36 37 3f 30 40 46 57 46 05 45 12 44 19 43 24 42 30 41 34 40 37 39 4i 38 43 37 45 36 46 40 50 45 48 44 57 44 06 43 14 42 21 41 28 40 34 39 40 38 44 37 49 3°" 53 35 56 50 7 OO 44 38 43 48 42 58 42 08 41 17 40 25 39 33 38 40 37 46 36 52 35 59 35 04 7 OO IO 43 24 42 37 41 49 41 00 40 10 39 20 38 29 37 39 36 47 35.55 35 °2 34 09 IO 20 42 11 41 24 40 38 39 51 39 °3 38 15 37 08 37 25 36 37 35 46 , 34 56 34 06 33 14 20 30 40 57 40 12 39 27 38 41 37 54 36 21 35 33 34 44 33 56 33 07 32 16 30 40 39 40 38 57 38 13 37 29 36 44 35 59 35 13 34 28 33 41 32 54 32 06 31 18 40 50 38 23 37 41 36 59 36 17 , 35 33 34 49 34 05 33 21 32 36 31 50 31 05 30 19 50 8 OO 37 04 36 23 35 43 35 02 34 20 33 37 32 55 32 13 31 29 30 46 30 01 29 17 8 OO 10 35 45 35 05 34 25 33 46 33 06 32 25 31 45 31 03 30 22 29 41 28 33 28 58 28 15 IO 20 34 22 33 45 33 08 32 20 31 51 31 11 30 33 29 52 29 13 27 52 27 11 20 30 33 00 32 24 31 47 31 II 30 33 29 56 29 19 28 41 28 03 27 24 26 45 26 06 30 40 31 36 31 01 30 26 29 51 29 16 28 40 28 03 27 28 26 51 26 14 25 37 25 00 40 50 30 10 29 37 29 04 28 30 27 56 27 23 26-48 2b 14 25 38 25 03 24 28 23 53 50 9 00 28 44 28 12 27 41 27 08 26 36 26 04 25 31 24 58 24 25 23 51 23 18 22 43 9 00 10 27 16 26 45 26 15 25 45 25 15 24 44 24 13 23 42 23 10 22 38 22 07 21 34 10 20 25 46 25 19 24 50 24 21 23 52 23 23 22 54 22 24 21 54 21 25 20 54 20 24 20 30 24 16 23 49 23 22 22 56 22 28 22 01 21 33 21 06 20 37 20 10 19 41 19 12 30 40 • 22 45 22 19 21 55 21 29 21 03 20 38 20 12 19 46 19 19 18 53 18 26 18 00 40 50 21 12 20 49 20 26 20 01 19 37 19 ! 3 18 49 18 25 18 00 17 36 17 II 16 46 50 10 00 19 39 18 04 19 16 18 55 18 34 18 II 17 49 17 26 17 04 16 41 16 18 15 56 15 32 10 00 10 17 43 17 24 17 04 16 43 16 22 16 02 15 42 15 21 14 59 14 38 14 16 IO 20 16 29 16 II 15 52 15 34 15 15 14 57 14 38 14 19 13 59 13 40 13 21 13 02 20 30 14 53 14 36 14 20 14 03 13 46 13 29 13 IZ 12 55 12 38 12 20 12 03 II 46 30 40 13 16 13 01 12 45 12 31 12 16 12 01 II 46 11 31 II 15 10 59 10 45 10 29 40 50 11 38 11 24 11 10 10 58 10 45 10 32 10 19 10 06 9 52 9 39 9 25 9 11 50 11 00 9 59 948 9 36 9 25 9 '4 9 02 8 51 8 40 8 28 8 16 8 05 7 53 11 00 , IO 8 20 8 11 8 01 7 52 7 43 7 33 7 24 7 H 7 03 °55 6 45 6 35 10 20 6 41 6 33 6 26 6 18 6 11 6 03 5 55 5 47 5 40 5 32 5 25 5 16 20 N 30 5 "I 4 55 4 49 4 44 4 39 4 32 4 27 4 21 4 16 4 09 4 03 3 58 30 ,40 3 20 3 16 3 13 3 09 3 05 3 02 2 58 2 54 2 51 2 46 2 43 2 38 40 50 1 40 I 38 1 36 I 35 1 33 I 31 1 29 1 27 1 25 I 22 1 21 1 19 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 184 AZIMUTH OR TRUE BEARING. LATITUDE 44°. DECLINATION— SAME NAME AS- LATITUDE. LATITUDE 44°. Hon r An gle. 60° 61° 62° 63° 64° 65° 66° . 67 o 68° 69° 70° Hour Angle. h. in. o ' / / / t / / / / / / li. 111. 00 00 00 00 00 00 00 00 00 00 00 00 O 00 10 4 31 4 08 3 47 3 29 3 11 2 57 2 42 2 30 2 18 2 07 1 56 IO 20 8 57 8 12 7 31 6 55 6 21 5 51 5 24 4 58 4 35 4 13 3 53 20 30 13 11 12 05 II 07 10 15 9 25 8 42 8 01 7 24 6 49 6 17 5 47 30 • 40 17 10 15 48 14 33 13 25 . 12 23 11 26 10 33 9 45 9 01 8 19 7 40 40 50 20 52 19 16 17 47 16 26 15 12 14 03 13 00 12 01 11 07 10 15 9 28 50 1 00 24 13 22 26 20 47 19 16 17 51 16 33 15 19 14 11 13 08 12 09 11 13 1 00 10 27 16 25 20 23 32 21 52 20 19 18 52 17 31 16 14 15 03 13 57 12 53 10 20 29 58 27 56 26 02 24 15 .22 36 21 02 19 33 18 10 16 52 15 38 14 29 20 30 32 21 30 16 28 18 26 26 24 4" 23 02 21 27 19 58 18 35 17 15 16 00 30 40 34 26 32 19 30 18 28 23 26 34 24 51 23 12 21 38 20 09 18 46 17 25 40 50 36 15 34 07 32 05 30 07 28 16 26 30 24 47 23 10 21 38 20 16 18 45 50 2 00 37 47 35 41 33 39 31 4i 29 47 27 59 26 15 24 35 22 59 21 28 19 59 2 00 10 39 °9 37 °2 35 00 33 03 31 09 29 19 27 33 25 51 24 13 22 39 21 08 IO 20 40 16 38 12 36 12 34 15 32 21 30 30 2843 27 00 25 22 23 45 22 10 20 30 41 13 39 " 37 13 35 16 33 23 31 33 29 46 28 01 26 21 24 43 23 08 30 40 42 00 40 01 38 04 36 II 34 17 32 28 3° 41 28 56 27 15 25 36 23 59 40 50 42 38 40 41 38 48 36 55 35 03 33 15 31 28 29 44 28 02 26 23 2446 50 3 OO 43 08 41 14 39 23 37 32 38 02 35 43 33 55 32 10 30 26 28 44 27 05' 25 28 3 OO 10 43 3° 41 40 39 5i 36 15 34 3° 32 45 31 01 29 21 27 42 26 04 10 20 43 47 41 59 40 12 38 26 36 4i 34 57 33 14 31 32 29 52 28 14 26 36 20 30 43 57 42 12 40 29 38 44 37 01 35 20 33 38 31 57 30 18 •28 41 27 03 30 40 44 01 42 20 40 38 38 57 37 16 35 36 33 56 32 17 30 39 29 03 27 26 40 50 44 0I 42 23 40 44 39 "4 37 26 35 48 34 10 32 33 30 57 29 21 27 45 50 4 00 43 57 42 21 4° 45 39 °& 37 32 35 56 34 19 32 43 31 09 29 34 28 00 4 00 10 43 48 42 15 40 41 39 00 37 32 35 59 34 24 32 51 31 17 29 44 28 11 10 20 43 34 42 04 40 33 39 01 37 29 35 5» 34 26 32 54 31 22 29 50 28 19 20 30 43 18 41 50 40 22 38 53 37 23 35 54 35 46 34 23 32 53 31 22 29 53 28 22 30 40 42 59 41 33 40 07 38 40 37 13 34 17 32 49 31 21 29 52 28 23 . 40 50 42 37 41 12 39 49 38 24 37 00 35 35 34 08 32 42 31 16 29 49 28 21 50 5 00 42 II 40 49 39 28 38 05 36 42 35 20 33 56 32 31 31 °7 29 42 28 15 5 00 IO 41 42 40 23 39 04 37 45 36 23 35 03 33 4° 32 18 30 55 29 33 28 08 10 20 41 12 39 55 3838 37 20 36 01 34 43 33 22 32 01 30 41 29 19 2758 20 30 40 39 39 23 38 09 36 54 35 37 34 20 33 °2 31 43 30 24 29 05 27 44 30 40 40 02 38 51 37 38 36 24 35 10 33 55 32 38 31 22 30 05 28 47 27 28 40 50 39 26 38 15 37 °5 35 52 34 40 33 27 32 13 3058 29 43 28 27 27 10 50 6 00 38 46 37 37 36 29 35 19 34 09 3258 31 45 30 32 29 19 28 05 26 50 6 OO 10 38 03 36 57 35 5i 34 43 33 35 32 26 31 15 30 05 2853 27 42 26 28 10 20 37 20 36 15 35 11 34 05 32 59 31 52 30 43 29 35 28 25 27 15 26 04 20 30 36 34 35 32 34 30 33 25 32 20 31 15 30 09 29 03 27 55 26 47 25 37 30 40 35 46 34 46 33 46 32 43 31 41 3038 29 33 28 29 27 23 26 17 25 °9 40 50 34 58 33 59 33 00 32 01 31 00 29 59 28 56 27 53 26 50 25 45 24 4° 50 7 00 34 07 33 " 32 13 31 15 30 28 30 17 29 18 28 17 27 16 26 14 25 11 24 08 7 00 10 33 15 32 20 31 25 29 32 28 46 28 35 27 36 26 37 25 37 24 37 23 35 IO 20 32 21 31 28 30 35 29 40 27 5° 26 53 25 56 24 58 24 CO 23 00 20 30 31 25 30 34 29 43 28 51 27 58 27 04 26 09 25 14 24 18 23 21 22 23 30 40 30 29 29 39 28 50 27 59 27 08 26 17 25 24 24 31 23 36 22 41 21 45 40 50 29 31 28 44 27 56 27 °7 26 17 25 27 24 37 23 45 22 53 22 01 21 07 50 8 00 28 32 27 45 27 op 26 13 25 25 24 37 23 48 22 59 22 08 21 18 20 26 8 OO IO 27 31 26 47 26 03 25 18 24 32 23 46 22 58 22 11 21 23 20 35 19 45 10 20 26 29 25 47 25 05 24 21 23 37 22 53 22 07 21 22 20 37 19 50 19 03 20 30 25 26 24 45 24 05 23 23 22 42 21 59 21 16 20 32 19 48 19 03 18 18 30 40 24 22 23 42 23 04 22 25 21 44 21 04 20 23 19 41 18 59 18 16 17 33 40 50 23 16 22 39 22 01 21 24 20 47 ' 20 07 19 28 18 48 18 09 17 28 16 47 50 9 OO 22 09 21 33 20 59 20 23 19 46 19 10 18 33 17 55 17 18 16 39 15 59 9 00 10 21 02 20 28 19 55 19 20 18 47 18 12 17 37 17 01 16 25 15 49 15 12 IO 20 19 53 19 21 18 50 18 18 17 46 17 13 16 40 16 06 15 32 14 58 14 22 20 30 18 44 18 13 17 45 17 14 16 43 16 13 15 41 15 10 1438 14 06 13 32 30 40 17 32 17 04 16 37 16 09 15 4i 15 12 14 43 14 13 13 43 13 13 12 42 1 40 50 16 21 15 55 15 29 15 04 14 37 14 10 13 43 13 15 12 48 12 20 11 5° 50 io 00 15 09 14 45 14 21 13 57 13 32 13 08 12 42 12 17 11 52 11 25 1° 59 10 00 10 13 56 13 34 13 12 12 50 12 27 12 05 11 41 11 18 10 54 10 30 10 06 IO 20 12 42 12 22 12 02 11 42 11 21 11 01 10 40 10 18 858 9 35 9 13 20 30 11 27 II 10 10 51 10 34 10 15 9 57 9 37 9 19 8 39 8 19 30 40 10 14 9 57 9 40 9 24 9 08 8 51 8 35 8 17 8 00 7 43 7 25 40 50 8 57 8 43 8 30 8 15 8 01 7 46 7 31 7 16 7 01 6 46 6 30 50 11 OO 7 42 7 29 7 17 7 04 652 6 40 6 28 6 15 6 02 5 49 5 35 11 OO IO 6 25 6 15 6 05 5 54 5 45 5 34 5 24 5 12 5 02 4 5° 4 40 IO 20 5 09 5 01 .4 53 4 45 4 36 4 28 4 19 4 10 4 02 3 53 3 44 20 30 3 52 3 45 3 39 3 33 3 27 3 21 3 14 3 08 3 01 2 55 2 48 30 40 2 34 2 31 2 26 2 22 2 19 2 14 2 10 2 05 2 01 1 57 1 52 40 50 I 17 1 15 1 13 1 11 1 09 I 07 1 05 1 03 I 02 59 56 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West, In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 185 AZIMUTH OR TRUE BEARING. LATITUDE 45°. . DECIJNATION— SAME NAME AS— LATITUDE LATITUDE 45°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. m. O 1 / / / 1 / / / / / ' / li. m. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 O 00 io 173 39 173 23 173 07 172 49 172 29 172 06 171 41 171 n 170 38 169 59 169 14 168 21 10 20 167 24 166 55 166 23 165 47 165 09 158 08 164 25 163 36 162 41 161 38 160 26 159 02 157 23 20 30 161 19 160 38 159 52 159 02 157 °7 155 59 154 43 153 17 151 39 149 47 147 38 30 40 155 32 '54 39 153 42 152 40 151 32 150 18 148 56 147 24 I45 4J 143 47 141 38 139 12 40 50 150 02 149 02 147 56 146 44 145 27 144 °3 142 3° 140 49 138 5° 136 53 134 4° 132 02 50 1 OO 144 54 143 47 142 34 141 16 139 52 138 22 136 43 134 56 132 59 130 51 128 32 125 59 1 OO IO 140 05 138 54 137 37 136 15 134 47 133 I2 131 30 129 41 127 44 125 35 123 17 120 48 10 20 135 37 134 23 133 °3 128 51 131 39 130 09 128 33 126 50 125 ot 123 04 118 56 120 58 118 44 116 21 20 30 131 29 13° 13 127 26 125 56 124 19 122 37 120 50 "6 53 114 44 112 27 30 40 127 38 126 22 125 00 123 34 122 04 120 3I 118 50 117 04 115 14 . 113 16 in 12 109 01 40 50 124 05 122 47 121 27 120 02 "8 33 117 01 115 22 113 40 I" 53 no 00 108 02 i°5 58 SO 2 00 120 46 119 29 118 08 116 44 115 18 "3 47 112 12 no 34 108 50 107 02 105 09 103 11 2 00 IO 117 39 116 24 "5 °5 "3 43 112 18 no 50 109 17 107 42 106 03 104 19 102 32 100 40 10 20 114 45 113 30 112 13 "° 53 109 31 108 05 106 36 105 04 103 29 101 49 100 07 98 21 20 30 112 01 no 48 I°9 33 108 15 106 55 105 32 104 05 102 37 101 05 99 3° 97 52 96 11 30 40 109 27 108 15 107 pi 105 45 104 27 103 07 101 43 100 18 9§ 5° 97 19 95 45 94 °9 40 SO 107 00 i°5 51 104 38 103 24 102 08 100 50 99 3° 98 08 9° 43 95 15 93 46 92 13 50 3 OO 104 41 103 32 102 23 101 10 99 57 98 41 97 24 96 05 94 °6 94 42 93 18 91 53 90 24 3 OO 10 102 28 101 21 100 12 99 °2 97 52 96 38 95 23 92 47 91 26 8938 90 04 8839 IO 20 100 20 99 15 98 09 97 00 95 5i 94 41 93 27 92 13 9° 57 88 19 86 58 20 30 98 18 97 15 96 09 95 °3 93 56 92 47 91 36 90 25 88 39 89 11 87 55 86 39 85 20 30 40 96 20 95 17 94 14 93 °9 92 04 90 58 89 49 87 28 86 15 85 01 8346 40 50 94 25 93 25 92 23 91 20 90 16 89 11 88 05 86 58 85 48 84 37 83 26 82 13 50 4 OO 92 33 91 35 go 35 89 33 88 31 87 28 86 23 8s' 18 84 n 83 03 81 54 80 43 4 OO 10 9° 45 89 47 88 48 87 49 86 48 8546 84 44 83 41 82 36 81 29 80 22 79 14 IO 20 89 00 88 03 87 05 86 07 85 08 84 08 83 07 82 06 81 03 79 58 78 53 77 47 20 30 87 19 86 20 85 24 84 27 83 29 82 31 81 32 80 32 79 30 78 28 77 25 76 20 30 40 85 34 84 40 82 08 82 49 81 53 8056 79 57 79 00 78 00 7658 75 5§ 74 55 40 50 83 53 83 01 ■ 81 12 80 17 79 21 7825 77 28 76 30 75 31 74 31 73 30 50 5 00 82 13 81 22 80 29 7? 35 78 41 77 48 76 53 75 57 75 01 74 02 73 °5 72 05 5 00 IO 80 35 79 45 78 52 78 01 77 °8 76 15 75 21 74 27 73 32 72 35 7i 39 70 41 IO 20 7858 78 09 77 18 76 27 75 36 74 43 73 5i 72 58 72 03 71 08 70 13 69 17 20 . 30 77 21 76 32 75 42 74 52 74 02 73 11 72 20 71 28 7° 35 69 41 68 48 67 53 30 40 75 45 74 57 74 07 73 19 72 29 71 39 70 49 6958 68 29 69 06 68 14 67 22 66 29 40 50 74 09 73 21 72 33 7i 45 70 56 70 08 69 19 67 39 66 48 65 57 65 05 50 6 OO 72 32 71 45 7° 59 70 12 69 24 68 36 67 48 67 00 66 10 63 20 64 30 '°3 39 6 00 IO 70 55 70 09 69 24 6837 67 5° 67 03 66 17 65 29 64 41 63 52 63 03 62 14 10 20 69 18 6834 6748 67 03 66 17 65 32 64 45 63 59 63 12 62 24 I 1 37 60148 * 20 30 67 40 66 57 66 12 65 27 64 43 °3 58 63 13 62 28 61 42 60 55 fla 08 58 39 59>21 30 40 66 03 65 19 64 35 63 52 63 08 62 24 61 41 60 56 60 10 59 24 57 53 40 50 64 24 63 41 62 58 62 16 61 33 60 50 60 06 59 23 5839 57 55 57 1° 56 25 50 7 OO 62 45 62 02 61 21 60 38 59 57 59 14 58 32 57 49 57 °° 56 23 55 4° 54 55 7 OO IO 61 03 60 22 59 4i 59 °° 58 19 57 38 56 57 56 14 55 32 54 50 54 08 53 25 IO 20 59 21 5842 58 01 57 20 56 40 55 59 55 19 54 39 53 58 53 17 52 35 51 53 20 30 57 38 57 00 56 20 55 4i 55 01 54 22 53 41 53 02 52 22 51 41 51 02 50 21 30 40 55 54 55 16 54 37 53 58 53 20 52 41 52 03 5i 24 5° 45 50 05 49 27 48 47 40 50 54 09 53 31 52 53 52 16 51 38 51 00 50 22 49 45 49 06 48 28 47 5° 47 11 50 8 OO 52 20 51 44 5' °7 5° 30 49 54 49 17 48 3? 48 03 47 26 46 49 46 12 45 34 8 00 IO 5° 32 49 56 49 20 48 43 48 08 47 33 46 56 46 21 45 45 45 °9 44 33 43 57 IO 20 48 41 48 06 47 3° 46 56 46 21 45 46 45 12 44 37 44 02 43 26 42 52 42 17 20 30 46 47 46 14 45 40 45 06 44 32 43 59 43 25 42 52 42 18 41 44 41 10 40 36 30 40 44 53 44 20 43 47 43 14 42 41 42 09 41 36 41 05 40 32 39 58 39 26 38 53 40 50 42 56 42 25 41 52 41 21 40 49 40 16 39 45 39 15 3844 38 12 37 41 37 09 50 9 00 40 57 40 26 39 55 39 25 3? 5* 38 25 37 54 37 24 36 54 36 23 35 54 35 24 9 OO IO 38 57 38 27 37 56 37 27 36 58 36 30 36 01 35 32 35 03 34 34 34 05 33 36 10 20 36 54 36 25 35 56 35 29 35 01 34 33 34 06 33 38 33 10 32 42 32 15 31 47 20 30 34 49 34 21 33 54 '33 27 33 °° 32 34 32 08 31 43 31 16 3° 5° 30 24 2958 30 40 32 41 32 15 31 49 3i 24 30 59 30 34 30 09 29 45 29 20 28 55 28 31 28 05 40 50 30 32 30 07 29 43 29 20 28 55 28 32 28 09 27 45 27 22 26 59 26 35 26 12 50 IO OO 28 20 27 58 27 35 27 13 26 50 26 28 26 06 25 44 25 23 25 01 -24 39 24 18 10 00 IO 26 07 25 45 25 24 25 °5 24 44 24 23 24 02 23 42 23 22 23 01 22 41 22 22 10 20 23 51 23 32 23 12 22 53 22 34 22 16 21 56 21 38 21 19 21 00 20 43 20 25 20 30 21 34 21 17 20 59 20 41 20 24 20 07 19 49 19 33 19 15 18 59 18 43 18 26 30 40 19 15 1859 18 43 18 27 18 n 17 57 17 41 17 26 17 II 1656 16 41 16 26 40 50 16 55 16 40 16 26 16 12 15 58 15 45 15 32 15 18 ' 15 05 14 51 14 39 14 25 50 11 OO 14 32 14 20 14 08 13 55 13 44 13 32 13 20 13 09 12 57 12 46 12 34 12 23 11 OO 10 12 09 » 59 II 48 " 39 n 28 n 19 11 09 1° 59 10 49 10 40 10 31 10 21 IO 20 9 45 9 37 9 28 9 20 9 12 ? °i 8 57 8 49 8 41 8 32 825 8 17 20 30 7 20 7 13 7 07 7 00 6 54 6 48 6 43 6 37 6 31 6 25 6 19 6 14 30 40 4 53 4 49 445 4 4i 4 37 4 33 4 29 4 25 4 21 4 17 4 14 4 09 40 50 2 27 2 25 2 23 2 21 2 19 2 16 2 14 2 13 2 n 2 08 2 06 2 05 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle, and the supplement of the tabulated azimuth is to be taken for the required true bearing. 186 AZIMUTH OR TRUE BEARING. LATITUDE 45° DECLINATION— SAME NAME AS— LATITUDE. latitude; 45°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. O 10 11 13 in. oo 10 ao 30 40 50 00 10 ao 30 40 50 00 10 20 30 40 50 00 10 ao 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 00 180 oo 167 15 155 26 145 08 136 26 129 13 123 u 118 07 "3 47 IIO 02 106 44 I°3 49 101 10 98 45 96 31 94 27 92 3° 9° 39 88 53 87 12 85 35 84 01 82 29 80 59 79 32 78 05 76 40 75 16 73 52 72 29 71 07 69 44 68 21 66 59 65 33 °4 13 62 48 61 24 60 00 58 34 57 °8 55 4° 54 13 52 43 51 12 49 41 48 08 46 34 44 58 43 21 41 43 40 03 38 21 36 39 34 54 33 °8 31 21 29 32 27 39 25 5° 23 57 22 02 20 07 18 10 16 12 14 13 12 13 10 12 8 10 6 08 4 °5 2 03 o 00 180 00 165 53 153 04 142 12 133 16 126 03 120 07 115 12 in 03 107 28 104 20 101 33 99 02 96 45 94 37 92 39 90 47 87 21 85 44 84 10 82 39 81 10 79 44 78 19 76 55 75 31 74 09 7248 71 26 70 05 68 45 67 24 66 03 64 41 63 20 61 57 6° 33 59 " 57 46 56 21 54 55 53 27 51 59 5° 3° 48 59 47 27 45 55 44 20 42 44 41 07 39 29 37 48 36 07 34 24 32 39 30 54 29 06 27 17 25 27 23 35 21 42 19 48 17 53 15 56 13 59 12 01 10 02 8 03 6 02 4 02 2 01 o 00 180 00 164 11 150 10 138 43 129 39 122 29 116 46 112 04 108 08 104 46 101 49 99 II 96 50 94 4° 92 41 90 48 89 °3 87 22 85 45 84 13 82 43 81 15 79 50 78 26 77 04 75 42 74 21 73 02 71 43 70 24 69 04 67 45 66 26 65 °7 63 46 62 26 61 05 59 43 58 21 5658 55 34 54 °9 52 43 51 15 49 47 48 18 46 47 45 16 43 43 42 08 40 32 38 54 37 16 35 35 33 54 32 10 30 26 28 40 26 52 25 °4 23 14 21 23 19 30 17 37 15 41 13 4 6 11 50 9 53 7 55 5 5° 3 58 1 59 o 00 180 00 161 57 146 31 134 32 125 29 1 18 32 113 °7 108 42 105 02 101 54 99 10 96 44 94 32 92 32 9° 39 8855 87 16 85 40 82 40 81 14 79 51 78 28 77 °8 75 48 74 29 73 11 71 54 70 37 69 19 68 02 66 45 65 27 64 09 62 51 61 32 60 13 58 52 57 31 56 09 54 47 53 23 51 58 50 32 49 °5 47 37 46 07 44 37 43 °5 41 32 39 57 38 20 36 43 35 t>5 33 23 31 42 29 59 28 14 26 28 24 42 22 53 21 03 19 13 17 20 15 28 13 33 II 39 9 44 7 47 5 51 3 55 I 57 o 00 180 00 158 54 141 54 129 33 120 41 114 09 109 07 105 05 101 45 98 54 96 24 94 12 92 11 90 20 8836 86 57 85 24 83 55 82 29 81 06 79 44 78 23 77 05 75 48 74 31 73 15 72 00 7° 45 69 30 68 15 66 59 65 44 64 28 63 12 61 55 60 37 59 19 5&01 56 41 55 20 53 58 52 36 51 13 49 48- 48 23 46 55 45 28 43 58 42 27 4° 55 39 21 37 46 36 10 34 32 32 53 31 13 29 32 2748 26 05 24 18 22 31 20 43 1854 17 °4 15 13 13 20 11 28 9 34 7 40 5 45 3 51 I 55 o 00 180 00 154 35 135 51 123 30 115 11 109 17 104 48 101 14 98 17 95 46 93 33 91 33 89 44 88 03 86 27 84 57 8331 82 08 80 47 79 28 78 12 7656 75 40 74 26 73 14 72 00 70 47 69 34 68 22 67 09 65 55 64 41 63 27 62 13 60 58 59 42 58 25 57 08 55 49 54 31 53 n 51 49 50 27 49 03 47 39 46 14 44 48 43 19 41 49 40 18 38 45 37 12 35 37 34 01 32 23 30 44 29 04 27 23 25 40 23 56 22 10 20 23 18 36 16 48 14 58 13 08 II 17 9 25 7 32 5 40 3 47 I 54 o 00 180 00 H7 58 127 51 116 15 108 59 103 55 100 09 97 °9 94 39 92 29 9° 34 88 49 87 13 55 42 84 17 82 55 81 36 80 19 79 °4 77 5° 76 37 75 26 74 15 73 °4 7i 54 70 43 69 34 68 23 °7 13 66 02 64 51 63 40 62 27 61 14 60 00 5846 57 31 56 15 54 59 53 41 52 22 51 °3 49 41 48 19 40 56 45 32 44 06 42 39 41 IC 39 41 38 II 36 38 35 °5 33 3° 31 54 30 15 28 37 26 57 25 15 23 33 21 49 20 04 18 18 16 32 14 44 12 55 180 00 137 10 117 20 107 43 102 01 98 08 95 14 92 51 9° 5i 89 05 87 29 86 01 8436 83 19 82 03 80 49 79 37 78 27 77 18 76 09 75 02 73 54 72 47 71 4° 70 33 69 25 68 18 67 11 66 02 64 54 63 45 62 35 61 25 60 14 59 °2 57 49 5636 55 21 54 06 52 5° 51 33 50 15 48 55 47 33 46 12 44 49 43 24 41 59 40 31 39 °4 37 33 36 03 34 31 32 58 31 23 29 46 28 09 26 30 24 5° 23 10 21 27 19 44 18 01 16 16 14 29 12 42 1 °5 10 55 9 15 9 06 7 26 7 18 5 34 528 3 43 3 4° 1 52 1 5° 00 00 180 00 118 24 103 54 97 5° 94 27 92 00 9° 03 88 24 86 55 85 35 84 19 83 08 81 59 80 51 79 45 7841 77 37 76 33 75 31 74 27 73 24 72 21 71 18 70 14 69 n 68 06 67 02 65 57 64 51 63 46 62 39 61 30 60 22 59 13 58 03 56 53 55 40 54 27 53 13 51 59 5° 43 49 26 48 07 46 48 45 27 44 06 42 43 41 19 39 52 38 26 3°58 35 29 33 58 32 26 3° 53 29 17 27 41 26 05 24 26 22 47 21 06 19 25 17 42 15 59 14 14 12 29 10 44 8 58 7 11 5 23 3 3° I 48 o 00 89 07 88 14 87 21 86 28 85 34 8441 53 47 82 54 82 00 81 05 80 11 79 16 78 21 77 26 76 30 75 34 74 37 73 4i 72 43 71 45 70 46 °9 47 68 48 67 48 66 46 65 45 64 43 63 40 62 36 61 31 60 26 59 19 58 12 57 °3 55 54 54 44 53 33 52 21 51 °7 49 53 48 37 47 20 46 02 44 43 43 23 42 01 40 38 39 14 37 48 36 22 34 53 33 24 31 54 30 22 28 48 27 14 25 39 24 02 22 24 20 45 19 05 17 25 15 43 14 00 12 17 1° 33 8 4 § 7 °3 5 18 3 32 I 46 o 00 o 00 59 25 72 18 76 35 78 20 79 °3 79 14 79 06 7848 78 21 77 48 77 11 76 31 75 48 75 04 74 17 73 3° 72 40 71 50 7° 58 70 04 69 10 68 16 67 20 6623 65 25 64 26 63 26 62 27 61 26 60 23 59 19 58 15 57 10 5° °3 54 06 53 47 52 38 51 28 50 15 49 ° 2 47 48 46 33 45 17 43 58 42 39 41 20 39 58 38 34 37 11 35 46 34 19 32 51 31 21 29 52 28 20 26 47 25 12 23 37 22 01 20 24 18 45 17 06 15 26 13 45 12 04 10 22 8 39 656 5 12 3 28 I 44 o 00 o 00 40 04 58 17 66 20 70 23 72 35 73 47 74 25 74 39 74 39 74 28. 74 °9 73 44 73 13 72 40 72 02 71 22 70 40 69 56 69 10 68 22 67 33 66 42 65 49 °4 57 64 02 63 °7 62 10 61 13 60 16 59 13 58 12 57 10 56 07 55 03 53 56 52 49 51 41 50 33 49 22 48 II 46 58 45 45 44 29 43 13 41 55 40 36 39 17 37 54 36 32 35 08 33 43 32 17 30 49 29 20 27 50 26 19 24 46 23 13 21 38 20 02 18 26 16 48 15 l° 13 31 II 51 10 II 8 30 6 49 5 °6 3 25 I 42 o 00 ll. O 10 11 OO lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 .40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 187 AZIMUTH OR TRUE BEARING. LATITUDE 45°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 15 . Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. b. m. o / / / / t / 1 / / / / / Ii. in. 00 00 00 00 00 00 00 00 00 00 00 00 00 00 10 28 57 22 11 17 45 14 39 12 24 10 39 9 17 8 10 7 16 6 30 5 51 5 18 10 20 47 °8 3838 32 13 27 18 23 28 20 25 17 58 =5 56 14 13 12 47 11 32 10 27 20 30 57 io 49 16 42 40 37 11 32 37 28 49 25 37 22 55 20 35 18 33 16 52 15 20 30 40 62 53 56 01 49 53 44 28 39 46 35 40 32 05 28 59 26 15 23 52 28 31 21 44 19 53 40 50 66 18 60 22 54 52 49 48 45 14 41 07 37 26 34 °7 3i 09 26 07 23 59 50 1 00 68 26 63 16 58 19 53 41 49 23 45 23 4i 43 38 22 35 18 32 32 29 59, 27 39 1 00 10 69 45 65 11 60 46 56 32 52 30 48 43 45 10 41 52 3848 35 58 33 19 3° 54 10 20 70 32 66 28 62 28 5836 54 53 5° 40 51 18 47 56 44 43 41 42 38 52 36.12 33 43 20 30 70 58 67 17 63 40 60 07 53 18 50 06 47 01 44 05 41 19 38 40 36 10 30 40 71 08 67 47 64 29 61 12 57 59 54 51 51 49 48 52 46 03 43 20 40 44 42 28 38 15 40 50 71 06 68 02 64 59 61 57 58 58 56 02 53 °9 50 22 47 38 45 °i 40 02 50 2 00 70 55 70 38 68 06 65 16 62 27 59 40 5°53 54 11 51 31 48 55 46 25 43 55 41 32 2 00 io 68 01 65 23 62 45 60 08 57 31 54 57 52 25 49 55 47 29 45 °6 42 47 IO 20 70 14 6748 65 20 62 52 60 24 57 57 55 31 53 06 50 43 48 23 46 04 43 49 20 30 69 46 67 29 65 10 62 50 60 31 58 12 55 53 53 36 51 19 49 °5 46 51 44 40 30 40 50 69 15 67 05 64 54 62 43 60 31 58 19 56 07 53 56 51 45 49 35 47 27 45 20 40 68 40 66 37, 64 33 62 29 60 24 58 19 56 14 54 °8 52 03 49 58 47 54 45 52 50 3 00 68 01 66 05 64 08 62 10 60 12 58 12 56 12 54 12 52 12 50 13 48 13 46 IS 3 00 10 67 22 65 31 63 40 61 47 59 55 58 00 56 06 54 10 52 16 50 20 48 26 46 34 10 20 6638 64 53 63 08 61 21 59 32 57 43 55' 54 54 03 52 13 50 23 48 32 46 41 20 30 65 54 64 14 62 32 60 50 5?o6 57 22 55 37 53 52 52 06 50 18 48 31 46 45 30 40 65 07 63 32 61 55 60 16 5838 56 57 55 .17 53 35 51 52 50 10 48 26 46 44 40 50 64 20 62 47 61 15 59 40 58 05 56 29 54 53 53 15 51 36 49 58 48 18 4638 50 4 00 10 63 3° 62 02 6° 33 59 02 57 31 55 58 54 25 52 51 51 16 49 40 48 04 46 27 4 00 62 39 61 14 59 49 58 21 56 53 55 25 53 55 52 23 50 51 49 20 47 46 46 13 10 20 30 40 61 46 60 24 59 02 57 38 56 13 54 47 53 21 51 53 5° 25 48 55 47 25 45 54 20 60 53 59 34 58 14 5652 55 31 54 08 52 45 51 20 49 54 48 28 47 °i 45 34 30 59 57 58 41 57 25 56 06 54 47 53 27 52 07 50 44 50 06 49 22 47 58 46 34 45 09 40 SO 59 "I 57 47 56 33 55 17 54 01 52 44 51 26 48 46 47 26 46 04 44 41 50 5 00 58 03 56 52 55 4° 54 27 53 13 51 59 50 43 . 49 26 48 08 46 50 45 32 44 11 5 OO IO 57<>4 55 55 54 46 53 35 52 23 51 11 49 58 48 44 47 29 46 13 44 5° 43 39 10 20 56 04 54 58 53 50 52 41 51 32 50 22 49.11 47 59 46 47 45 33 44 19 43 03 20 30 55 03 53 58 52 53 51 46 50 39 49 31 48 39 48 22 47 13 46 02 44 52 43 39 42 26 30 40 54oi 52 57 51 54 50 49 49 45 47 32 46 24 45 17 44 08 42 57 4i 47 40 50 52 57 5i 55 50 54 49 52 48 49 47 45 46 40 45 34 44 28 43 21 42 13 4 1 05 50 6 00 51 51 5° 52 49 53 48 53 47 51 46 49 45 47 44 43 43 39 42 34 4i 29 40 22 6 OO 10 50 45 49 48 4»'42 48 50 47 5i 46 52 45 51 44 50 43 49 42 48 41 44 40 41 39 36 IO 20 49 38 '47 47 ■46 49 45 51 44 53 43 55 42 55 41 54 40 54 39 52 38 49 20 30 48 29 47 35 - 46 41 '45 46 44 50 43 53 42 57 41 58 41 00 40 01 39 01 38 00 30 40 4 ? T g 46 27 45 34 44 41 43 46 42 51 41 57 41 00 40 04 39 ° 6 3808 ■ 37 09 40 50 46 08 45 18 44 26 43 34 42 41 41 48 40 55 40 00 39 °6 38 10 37 14 36 17 50 7 OO 44 56 44 07 43 19 42 27 4i 35 40 44 3 2 5 i 39 °° 38 07 37 13 36 18 35 24 7 00 10 43 43 42 54 42 06 41.17 40 28 39 39 38 48 37 57 37 06 36 15 35 21 34 28 10 20 42 28 41 41 4° 55 40 07 39 20 38 30 37 43 36 54 36 04 35 14 34 23 33 32 20 30 41 12 40 27 39 42 3856 38 10 37 23 36 36 35 48 35 01 34 12 33 23 32 33 30 40 3 i 5 i 39 10 38 27 37 43 36 59 36 13 35 29 34 42 33 56 33 °9 32 21 31 34 40 50 3836 37 53 37 11 36 29 35 46 35 °3 34 19 33 35 32 49 32 05 31 19 30 33 50, 8 OO 37 14 36 34 35 54 34 36 35 13 34 32 33 5° 33 °9 32 24 31 43 30 58 30 15 29 31 8 OO IO 35 54 35 16 33 57 33 16 32 37 31 57 31 15 30 33 29 52 29 iO 28 27 IO 20 34 32 33 55 33 16 32 38 32 00 31 22 3° 43 30 03 29 24 28 44 28 03 27 23 20 30 33 07 32 28 31 56 31 20 30 '43 30 06 29 28 28 50 28 13 27 35 26 55 26 16 30 40 31 43 31 08 30 34 29 59 29 24 28 49 28 14 27 37 27 01 26 24 25 47 25 09 40 50 30 16 29 44 29 11 28 38 28 04 27 3° 26 56 26 22 25 47 25 12 24 37 24 01 50 9 OO 28 49 28 18 27 46 27 14 26 43 26 11 25 38 25 05 24 33 23 59 23 26 22 52 9 00 IO 27 20 26 51 26 21 25 5° 25 21 24 5° 24 20 23 4» 23 17 22 45 22 14 21 42 IO 20 25 51 25 23 24 55 24 26 23 58 23 28 23 00 22 30 22 01 21 31 21 01 20 31 20 30 24 20 23 54 23 26 23 00 22 33 22 06 21 39 21 11 20 43 20 15 19 47 19 18 30 40 22 48 22 24 21 58 21 33 21 07 20 42 20 17 19 50 19 25 18 58 18 32 18 06 40 50 21 15 20 52 20 28 20 05 19 42 19 17 18 54 18 29 18 05 17 4i 17 17 16 52 50 10 OO 19 41 19 20 18 59 18 35 18 14 17 52 17 30 17 07 16 45 16 23 16 00 15 37 10 00 IO 18 06 17 46 17 27 17 06 16 47 16 26 16 06 15 45 15 24 15 03 14 42 14 22 10 20 16 31 16 12 15 54 15 35 15 18 14 59 14 41 14 22 14 03 13 43 13 24 13 05 20 30 14 54 14 37 14 21 14 04 13 48 13 31 13 14 12 57 12 41 12 23 12 06 11 49 30 40 13 16 13 02 12 47 12 33 12 17 12 02 II 48 11 33 11 18 11 02 10 47 10 31 40 SO " 39 11 26 11 13 10 59 10 46 10 34 10 21 10 08 9 54 9 4i 9 27 9 13 50 11 00 10 00 9 49 9 38 9 27 9 15 9 04 8 53 8 42 8 30 8 19 8 07 7 55 11 00 IO 8 21 8 12 8 03 7 53 7 43 7 34 7 24 7 15 7 06 6 57 6 47 636 10 20 6 42 6 34 6 27 6 19 6 11 6 04 5 57 5 49 5 40 5 33 5 25 5 17 20 30 5 01 4 55 4 50 4 44 4 39 4 33 4 28 4 21 4 16 4 11 4 °4 3 58 30 40 3 20- 3 x l 3 13 3 09 306 3 02 2 59 2 55 2 50 2 47 2 43 2 39 40 50 1 40 1 38 1 37 I 35 1 33 I 31 1 29 1 27 1 25 1 23 1 21 1 19 50 12 OO 00 .0 00 00 00 00 00 00 00' 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 188 AZIMUTH OR TRUE BEARING. LATITUDE 45". DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 45°. Hoar Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o / 1 / / / / / / / / / b. 111. 00 O 00 00 00 00' 00 00 00 00 00 00 00 00 10 4 49 4 23 4 00 3 4° 3 21 3 05 2 50 2 36 2 24 2 12 2 01 10 20 9 31 8 41 7 56 7 16 6 40 07 5 38 5 11 4 45 4 22 4 01 20 30 14 00 12 48 11 43 10 46 9 53 9 06 8 23 7 42 7 °5 631 6 00 30 40 18 12 16 41 15 20 14 06 12 59 II 57 II 01 10 09 9 22 8 37 7 56 40 SO 22 02 20 18 18 42 17 14 15 55 14 41 13 33 12 31 11 33 10 38 9 49 50 1 00 2S 32 23 36 21 49 20 10 18 39 17 15 15 57 14 45 13 37 12 36 11 37 1 OO 10 28 39 26 34 24 39 22 52 21 13 19 39 18 13 16 53 15 37 14 26 13 21 10 20 31 24 29 14 27 13 25 19 23 32 21 53 20 19 1852 17 29 16 11 14 58 20 30 33 48 31 35 29 3° 27 32 25 39 .23 54 22 16 20 43 19 14 17 5" 16 32 30 40 35 53 33 40 31 32 29 30 27 36 25 46 24 02 22 25 20 51 .19 23 18,00 40 50 37 41 35 27 33 18 31 16 29 19 27 27 25 4° 23 58 22 21 20 48 19 21 50 2 00 39 14 37 00 34 53 32 49 30 51 2857 27 08 25 24 . 23 43 22 08 20 36 2 00 10 40 32 38 20 36 13 34 1° 32 12 30 17 28 26 26 41 2458 23 20 21 45 lO 20 41 37 39 28 37 23 38 22 35 21 33 23 31 28 29 37 27 5° 26 06 24 25 22 49 20 30 42 31 40 26 36 22 34 25 32 3° 3° 39 28 51 27 06 2 5 2 § 23 48 30 40 43 1° 41 13 39 12 37 14 35 18 33 24 31 33 29 45 28 00 26 18 24 39 40 50 43 51 41 52 39 53 37 57 36 02 34 11 32 21 3° 33 28 48 27 06 25 25 50 3 00 44 18 42 21 40 26 38 32 36 41 34 49 33 01 3i 14 29 29 27 47 26 07 3 00 10 44 37 42 45 4° 52 39 °i 37 " 35 22 33 35 31 5° 3° °5 28 23 26 43 10 20 44 50 43 01 41 II 39 23 37 35 35 49 34 03 32 19 3° 35 2854 27 15 20 30 44 58 43 12 41 26 39 39 37 54 36 09 34 26 32 42 31 °I 29 20 27 42 30 40 45 00 43 17 41 33 39 5° 38 07 36 24 34 43 33 °2 31 21 29 42 28 03 40 50 44 55 43 17 41 36 39 55 38 15 36 34 34 55 33 15 31 36 2958 28 22 50 4 00 44 49 43 13 41 35 39 56 38 18 36 41 35 °3 33 25 31 48 30 11 28 35 4 00 10 44 38 43 04 41 29 39 53 38 19 3° 42 35 °6 33 31 31 55 30 21 28 46 10 20 44 23 42 52 41 19 39 4° 38 14 36 40 35 °° 33 33 31 59 3° 25 28 52 20 30 44 04 42 36 41 06 39 35 38 05 36 34 35 02 33 31 31 59 30 26 28 55 30 40 43 42 42 16 40 48 39 21 37 54 36 24 34 55 33 25 31 56 3° 25 28 55 40 50 43 18 41 54 40 29 39 °4 37 38 36 II 34 44 33 17 31 49 30 21 28 52 50 5 00 42 5° 41 29 40 07 38 43 37 20 35 55 34 30 33 °5 31 38 30 12 28 46 5 00 lO 42 19 41 02 39 4i 38 19 36 58 35 37 34 13 32 5° 31 26 30 02 28 37 10 20 41 47 40 30 39 12 37 54 3° 35 35 15 33 54 32 32 31 10 29 48 28 25 20 30 41 12 39 58 3842 37 25 36 09 34 5° 33 32 32 12 3° 53 29 33 28 11 30 40 40 35 39 22 38 09 36 54 35 4° 34 24 33 °7 31 5° 30 32 29 13 27 54 40 50 39 55 38 45 37 34 36 21 35 °9 33 56 32 41 31 26 30 09 28 52 27 36 50 6 00 39 14 38 06 3° 57 35 46 34 36 33 24 32 12 30 59 29 45 28 30 27 15 6 OO 10 38 30 37 24 3° 17 35 °9 34 «> .32 51 31 4i 30 29 29 5» 29 18 28 05 26.51 lO 20 37 45 36 4i 35 36 34 3° 33 23 32 15 31 07 28 48' 273* '27 08 26 27 20 30 3658 35 56 34 53 34 °8 33 49 32 44 31 39 3° 33 *9 25 ■ 28 17 25 58 30 40 36 10 35 °9 33 06 32 03 31 00 29 55 28 50 27 44 26 37 25 3° 40 50 35 19 34 21 33 21 32 22 31 21 30 20 29 17 28 13 27 10 26 05 24 59 SO 7 00 34 27 ' 33 31 32 33 31 35 30 37 29 37 28 37 27 35 26 33 25 3° 24 26 7 OO 10 33 34 32 40 31 43 30 48 29 51 28 53 27 55 26 54 25 55 24 54 23 53 10 20 32 39 31 46 30 53 29 58 29 03 28 07 27 11 26 13 25 15 24 16 23 17 20 30 31 43 30 52 29 59 29 07 28 14 27 21 26 26 25 31 24 34 23 37 22 40 30 40 30 46 29 56 29 05 28 10 28 14 27 24 26 32 25 39 24 45 23 51 22 57 22 01 40 50 29 46 2859 27 22 26 32 25 42 24 5i 24 00 23 08 22 15 21 21 50 8 00 28 45 28 00 27 13 26 26 25 39 24 51 24 02 23 12 22 22 21 31 20 39 8 OO 10 27 43 27 00 26 16 25 31 24 45 23 59 23 12 22 24 21 36 20 47 19 57 10 20 26 41 25 59 25 16 24 33 23 49 2305 22 20 21 35 20 48 20 01 19 14 20 30 25 37 24 57 24 16 23 34 22 52 22 10 21 28 20 44 20 00 19 14 18 26 18 29 30 40 24 31 23 54 23 14 22 35 21 55 21 15 20 34 19 52 19 09 17 44 40 50 23 24 22 48 22 12 21 34 20 56 20 18 19 38 18 59 18 19 17 38 i°57 50 » 00 22 18 21 43 • 21 07 20 32 19 56 19 19 18 43 18 04 17 26 16 48 16 09 9 00 lO 21 09 20 37 20 03 19 29 18 55 18 20 17 45 16 48 17 10 16 34 15 57 15 20 lO 20 19 59 19 29 18 57 18 25 17 54 17 21 16 14 15 4° 15 °5 14 31 20 30 18 49 18 21 17 51 17 20 16 50 16 20 15 49 15 18 14 46 14 13 13 4° 30 40 17 38 17 11 16 44 16 15 15 47 15 19 14 5° 14 20 13 5° 13 19 12 49 40 50 16 26 16 01 15 36 15 09 14 43 14 17 13 50 13 21 12 53 12 25 11 57 50 10 00 15 14 14 5° 14 27 14 02 13 38 13 14 12 48 12 23 11 57 11 30 11 04 10 00 lO 14 00 13 39 13 16 12 54 12 31 12 10 11 46 11 23 1° 59 10 35 10 11 10 20 12 46 12 27 12 07 11 46 11 26 11 05 10 44 10 22 10 01 9 40 9 18 20 30 II 31 11 14 10 55 10 37 10 19 10 01 9 41 9 22 9 02 8 43 8 20 30 40 10 16 10 00 9 43 9 28 9 11 8 55 8 38 8 20 8 03 7 46 728 40 50 9 00 8 46 8 32 8 18 8 04 7 49 7 34 7 20 7 °4 6 49 6 34 50 11 00 7 44 7 31 7 20 7 08 6 55 6 43 631 6 18 6 05 5 51 5 38 11 00 10 6 26 617 6 06 5 57 5 4° 5 36 5 26 5 15 5 °4 4 53 4 42 10 20 5 09 5 02 4 54 4 46 4 38 4 29 4 21 4 12 I 4 04 3 55 3 45 20 30 3 53 3 47 3 41 3 34 3 28 3 22 3 1° 3 10 3 03 25 S 2 49 30 40 2 35 2 31 2 27 2 23 2 19 2 14 2 11 2 07 2 02 1 58 1 53 40 50 1 18 1 16 1 13 1 11 1 09 I D7 1 °5 I °3 I OI 59 57 SO 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 189 AZIMUTH OR TRUE BEARING. LATITUDE 46°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 46°. Hour Angle. 24° 25° ZOO 27° 28° 20° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. O I / / / 1 / / / 1 t / / b. 111. O 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 55 173 42 173 27 173 11 172 53 172 33 172 11 171 46 171 17 170 44 170 06 169 22 10 20 I&7 55 162 05 167 29 167 00 166 29 165 54 165 17 164 34 163 46 162 52 161 50 160 38 159 16 20 30 160 28 160 47 160 01 159 12 158 18 157 19 156 12 154 56 153 32 151 54 15° 05 30 40 156 29 155 41 154 49 I5 3 s i 148 08 152 53 151 45 15° 32 149 10 147 39 145 59 144 06 141 5» 40 50 151 09 150 14 149 14 146 58 145 42 144 18 142 47 141 06 139 I 6 137 12 134 56 50 1 00 146 07 145 05 144 00 142 48 Hi 31 140 07 138 37 137 °° 135 14 133 17 131 °9 128 52 1 00 10 141 25 140 17 139 06 137 5° 136 28 135 °i 133 28 131 47 129 57 128 00 125 52 123 35 10 20 136 59 135 51 134 36 133 17 131 53 130 24 128 48 127 06 125 16 123 20 121 14 119 00 20 30 132 52 131 40 13° 25 129 04 127 39 126 08 124 33 122 52 121 04 119 10 "7 °7 114 58 30 40 129 02 12748 126 32 125 11 123 46 122 16 120 42 119 02 117 16 "5 25 113 27 ill 21 40 50 125 27 124 H 122 58 121 36 120 12 118 43 117 n 115 33 "3 5° 112 03 .110 10 108 12 50 2 00 122 06 120 53 "9 37 n8 16 116 54 115 26 "3 57 112 21 no 41 108 58 107 09 105 17 2 00 10 118 58 "7 45 116 30 115 12 «3 50 112 25 no 57 109 25 107 49 106 09 104 25 102 39 IO 20 116 01 114 49 113 36 112 18 no 59 109 36 108 11 106 41 105 09 103 32 i°i 53 100 11 20 30 113 14 112 04 no 51 109 36 108 18 106 57 i°5 34 104 '08 102 39 101 07 99 31 97 53 30 40 no 36 109 27 108 17 107 02 i°5 47 104 28 103 10 101 45 100 18 9? 5° 97 19 95 45 40 50 108 07 106 59 105 50 104 38 103 24 102 08 100 51 99 3° 98 °7 96 41 95 13 93 44 50 3 OO 105 45 104 38 i°3 31 102 21 101 09 99 55 97 48 98 40 97 22 96 01 94 41 93 15 91 49 3 00 10 103 29 102 23 101 17 100 09 99 00 96 34 95 18 94 °2 92 43 91 21 §958 10 20 101 17 100 14 99 10 98 °3 96 55 95 45 94 35 93 22 92 07 9° 51 89 02 89 33 88 13 20 30 99 13 98 n 97 07 96 02 94 54 93 49 92 39 91 29 §2 l6 87 47 86 30 30 40 97 « 96 11 95 °8 94 05 93 01 91 55 90 50 89 40 8830 87 18 86 05 8451 40 50 95 13 94 15 93 14 92 13 91 10 90 05 89 01 87 55 86 46 85 37 84 27 83 14 50 4 00 93 19 92 22 91 23 £3 89 22 88 19 87 17 86 12 85 06 83 59 82 50' 81 41 4 00 10 91 28 90 32 89 34 87 35 8635 85 34 8431 83 26 82 21 81 15 80 08 10 20 89 40 88 44 87 48 8651 85 52 84 53 83 54 , 82 52 81 50 80 47 79 42 7838 20 30 87 51 86 59 86 04 85 08 84 11 83 14 82 15 81 16 80 15 79 13 78 10 77 °8 30 40 86 09 85 16 84 22 8327 82 32 81 35 80 39 79 4° 7842 77 41 76 41 75 39 40 50 8+25 83 34 82 41 81 48 80 54 79 58 79 °3 , 78 06 7708 76 10 75 12 74 11 50 5 00 82 44 81 53 81 02 80 09 79 15 78 22 77 28 76 33 75 36 > 74 39 73 42 72 45 5 OO 10 81 03 80 13 79 22 78 31 77 39 76 47 75 57 75 0° 74 05 73 1° 72 14 71 18 10 20 79 24 78 34 77 45 76 54 76 03 75 12 74 20 73 28 72 35 7i 41 70 46 69 51 20 30 77 45 .76 56 76 07 75 18 74 28 73 38 72 47 71 56 71 °4 70 n 69 18 68 24 30 40 76 06 75 17 74 31 73 42 72 53 72 04 7i 15 70 24 69 34 68 41 67 5° 6658 40 50 74 28 73 41 72 54 72 06 71 19 70 31 69 42 68 53 68 03 67 13 66 22 65 31 50 6 OO 72 49 72 03 71 17 70 30 69 44 68 57 68 09 67 21 66 33 65 43 64 53 64 04 6 00 10 71 10 70 25 69 41 68 54 68 09 67 23 66 36 65 49 65 Oi 64 13 63 24 62 36 10 20 69 32 68 48 68 04 67 18 66 34 6548 65 03 64 17 63 30 62 44 61 56 61 08 20 30 67 52 67 09 66 26 65 4i °4 57 64 13 63 23 62 43 61 58 61 12 60 25 59 39 30 40 66 12 65 29 64 48 64 04 63 21 62 37 61 54 61 10 60 26 ■ 59 4° 58 55 58 10 40 50 64 31 63 5° 63 08 62 26 61 43 61 01 60 19 59 36 5852 58 08 57 24 56 41 SO 7 00 62 50 62 10 6r 29 60 47 60 06 59 24 5843 58 01 57 18 56 35 55 52 55 10 7 OO 10 61 08 60 28 59 48 59 o 6 . 58 27 57 4° 57 °6 56 24 55 43 55 00 54 19 53 37 10 20 59 25 58 45 5807 57 26 56 47 56 °7 55 27 54 47 54 °6 53 26 52 45 52 04 20 30 57 41 57 °2 56 24 55 45 55 °5 54 27 53 48 53 °9 52 29 51 50 51 10 5° 3° 30 40 55 54 55 17 54 39 54 01 53 23 52 45 52 07 51 29 5° 5° 50 12 49 33 48 55 40 50 54 08 53 31 52 54 52 17 51 4° 51 °3 50 26 49 49 49 11 48 33 47 5° 47 18 50 8 OO 52 19 51 43 51 07 5° 3i 49 54 49 18 48 42 48 06 47 29 46 54 46 16 45 4° 8 OO 10 50 29 49 53 49 19 48 44 48 08 47 33 46 58 46 23 45 47 45 12 44 36 44 °2 10 20 48 37 48 03 47 29 46 54 46 19 45 46 45 12 44 38 44 °3 43 29 42 55 42 21 20 30 46 43 46 10 45 37 45 °3 44 3° 43 57 43 25 42 51 42 18 41 45 41 12 4° 39 30 40 44 47 44 16 43 43 43 11 42 38 42 07 41 35 41 03 4° 31 39 59 39 27 38 55 40 50 42 50 42 18 41 48 41 17 40 46 4° 15 39 45 39 14 38 43 38 12 37 41 37 11 50 9 OO 40 51 40 20 39 51 39 21 3850 38 21 37 52 37 22 36 52 36 23 35 53 35 25 9 OO io 38 49 38 20 37 51 37 23 36 55 36 26 35 58 35 3° 35 °o 34 33 34 °4 33 36 10 20 36 46 36 18 35 51 35 23 34 5° 34 29 34 02 33 34 33 °8 32 4° 32 14 31 48 20 30 34 40 34 14 33 48 33 21 32 55 32 3° 32 04 31 39 31 13 3° 47 30 22 29 56 30 40 32 33 32 08 31 43 31 18 3° 53 30 29 30 05 29 41 29 16 28 52 28 28 28 05 40 50 30 24 30 00 29 37 29 13 2850 28 26 28 04 27 41 27 18 2656 26 33 26 10 50 10 00 28 12 27 5° 27 29 27 06 26 44 26 23 26 02 25 41 25 19 24 58 24 37 24 16 10 00 10 25 59 25 38 25 18 2458 2438 24 18 23 57 23 38 23 18 22 58 22 39 22 20 IO 20 23 44 23 25 23 06 22 47 22 29 22 II 21 53 21 34 21 15 20 58 20 40 20 22 20 30 21 27 21 10 2 S 5 i 20 35 20 19 20 02 19 46 19 29 19 12 18 56 18 39 18 23 30 40 J ? °g 18 53 1838 18 22 18 07 17 52 17 37 17 22 17 07 i fi 53 1638 16 23 40 50 16 48 16 34 16 22 16 08 15 55 15 41 15 27 15 15 15 °2 14 49 14 36 14 24 50 11 00 14 27 14 15 14 °3 13 52 13 4° 13 29 13 17 13 °7 12 55 12 43 12 33 12 22 11 OO 10 12 05 n 54 11 45 11 35 11 25 II 15 11 06 10 57 10 47 10 38 10 28 10 20 IO 20 9 45 9 33 9 25 9 17 9 09 9 01 8 54 8 46 8 38 831 8 24 8 16 20 30 7 16 7 10 7 °4 658 6 52 6 47 6 41 636 6 30 6 24 4 16 6 18 6 12 30 40 4 5i 4 47 4 43 4 39 4 35 4 31 4 28 4 24 4 20 4 12 4 °9 40 50 2 25 2 24 2 22 2 20 2 18 2 16 2 14 2 12 2 10 2 08 2 06 2 04 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and -when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of .the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 190 AZIMUTH OR TRUE BEARING. LATITUDE 46°. DECLINATION— SAME NAME ASt-I,ATITUDE. LATITUDE! 46°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hoar Angle. li. in. o / / / / / / / / / / r / li. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 10 168 29 167 24 166 05 164 23 162 n 159 I 1 154 55 136 17 148 23 137 38 118 48 89 06 58 57 10 20 157 45 155 42 153 22 15° 3° 146 55 142 18 128 18 117 43 104 08 88 12 72 00 20 30 147 57 145 28 142 34 139 06 134 57 129 57 123 53 116 37 107 59 98 04 87 18 76 20 30 40 139 33 136 47 133 39 130 02 125 52 121 03 115 28 109 14 102 13 94 32 86 24 78 07 40 50 132 23 129 33 126 24 122 52 118 53 "4 27 109 32 104 09 98 16 92 01 85 30 7851 SO 1 OO 126 18 123 30 120 26 117 04 113 24 109 22 105 00 100 19 95 18 90 02 88 21 84 35 79 °3 1 00 10 I2Z 06 118 24 115 29 112 20 108 57 105 17 101 23 97 15 92 54 8341 7856 10 20 116 37 114 02 in 17 108 22 105 13 101 54 98 24 94 43 9° 51 8652 82 46 7836 20 30 112 38 no 14 107 40 104 56 102 03 99 01 95 50 92 31 89 °3 85 31 81 51 78 OS 30 40 109 13 106 54 104 29 101 57 99 16 96 29 93 34 9° 34 87 26 84 14 8056 77 3* 40 50 106 07 103 56 101 40 99 18 96 49 .94 14 91 34 88 48 85 57 83 01 80 01 7658 50 2 00 103 22 101 15 99 07 96 53 94 35 92 n 89 43 87 10 8432 81 51 79 "5 76 21 2 00 10 100 45 98 48 9° +7 94 42 92 32 22 l8 88 00 8538 83 11 80 42 78 09 75 35 10 20 98 23 96 33 94 39 Q2 40 90 38 88 33 86 23 84 10 81 55 79 36 77 13 74 49 20 30 96 11 94 26 92 37 §2 47 88 51 8653 84 50 8247 80 40 78 29 76 16 7402 30 40 94 °7 92 27 22 « S 85 ? 87 09 85 18 83 23 81 27 79 27 77 25 75 20 73 12 40 50 92 10 90 35 88 57 87 16 85 34 8348 81 59 80 08 78 15 76 20 74 22 72 23 50 3 OO 90 20 88 48 87 14 8538 84 00 82 20 80 37 7852 77 05 75 16 73 24 7i 32 3 00 10 88 32 8705 85 35 84 04 82 30 8055 79 16 77 37 75 56 74 12 72 26 7° 39 lO 20 86 50 85 26 84 01 82 33 81 04 79 32 77 58 76 24 74 47 73 °8 71 27 69 46 20 30 85 11 83 50 I 2 *n 81 04 79 38 78 11 76 42 75 n 73 38 72 04 70 28 6850 30 40 83 35 82 18 80 58 79 37 78 16 7° 55 75 25 73 59 72 3° 71 00 69 28 6756 40 50 82 01 80 46 79 31 78 13 76 54 75 33 74 1° 72 47 71 22 &9 5° 68 28 66 59 50 4 00 80 30 ' 79 17 78 04 76 49 75 33 74 16 72 56 7i 36 70 14 6851 67 27 66 01 4 OO 10 78 59 77 53 43 22 41 40 46 26 44 49 43 12 41 33 46 06 44 31 42 57 41 22 45 42 44 12 42 40 41 06 45 15 43 47 42 18 40 48 44 46 43 20 41 54 40 27 44 *5 42 52 41 27 40 03 43 40 42 20 40 58 39 36 43 °3 41 45 40 26 39 06 42 23 41 09 39 53 38 35 41 43 40 30 39 15 38 00 41 00 39 49 38 37 37 24 40 14 39 ° 6 37 57 36 46 39 28 38 21 37 15 36 05 38 40 37 35 3* 30 35 24 37 49 3648 35 44 34 56 34 39 3658 35 58 33 53 36 05 35 °7 34 07 33 07 35 10 34 14 33 17 32 18 34 14 33 19 32 25 31 28 33 17 32 24 31 3i 3° 36 32 18 31 28 3° 36 29 44 31 18 30 29 29 39 28 49 30 17 29 3" 28 42 27 53 29 15 28 29 27 43 26 56 28 11 27 28 26 43 25 58 27 05 26 24 25 43 24 59 26 00 25 21 24 39 23 59 24 53 24 16 23 37 22 58 23 45 23 09 22 32 21 55 22 36 22 01 21 27 20 52 21 26 20 53 20 20 19 48 20 15 19 45 19 14 18 42 19 04 18 35 18 06 17 36 17 51 17 25 16 57 16 29 16 38 16 13 15 48 15 22 15 25 15 01 14 37 ' 14 14 14 10 13 49 13 27 13 05 12 54 12 35 12 16 " 55 " 39 II 21 II 03 10 45 10 23 10 06 9 5i 9 35 9 05 852 8 38 8 24 7 48 7 36 7 25 7 13 631 6 21 6 11 6 02 5 13 5 °6 4 57 4 49 3 55 3 49 3 43 3 37 2 36 2 33 2 29 2 25 1 19 1 17 I 15 1 13 00 00 00 00 64° 65° 66° 67° 68° Hour Angle. li. 10 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 4(> 50 00 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 o 00 3 45 10 58 14 22 17 33 20 30 23 13 25 42 27 54 29 53 31 38 33 11 34 31 35 4° 36 39 37 3° 38 11 38 44 39 " 39 32 39 47 39 55 40 00 39 59 39 55 39 45 39 33 39 17 38 59 38 37 38 13 37 45 37 16 36 44 36 10 35 34 34 5« 34 17 33 35 32 51 32 05 31 20 30 31 29 41 28 50 27 58 27 °4 26 09 25 13 24 16 23 17 22 18 21 17 20 16 19 13 18 10 17 06 16 01 14 56 13 5° 12 43 11 35 10 27 9 19 8 10 7 01 5 51 4 42 3 31 2 21 .1 10 00 00 3 25 6 46 10 02 13 10 16 08 18 54 21 27 23 4? 25 56 27 52 29 35 31 °5 32 26 33 36 34 37 35 29 36 11 3648 37 18 37 4° 37 58 38 09 38 15 38 18 38 15 38 10 38 00 37 4° 37 3° 37 11 36 49 36 24 35 57 35 28 34 56 34 21 33 46 33 °9 32 28 31 47 31 °4 30 19 29 33 28 45 27 56 27 06 26 14 25 21 24 27 23 31 22 35 21 37 20 39 19 39 18 39 17 38 16 36 15 33 14 29 13 25 12 20 11 15 10 09 9 °3 7 55 6 49 5 4i 4 33 3 25 2 17 1 08 o 00 o 00 3 °7 6 n 9 12 12 05 14 5° 17 25 19 49 22 03 24 °5 25 56 27 37 29 06 3° 25 31 35 32 37 33 3° 34 14 34 52 35 24 35 49 36 08 36 23 36 32 36 36 3636 3-6 32 36 25 36 15 36 01 35 44 35 24 35 °2 34 37 34 1° 33 4° 33 °8 32 35 31 59 31 21 30 42 30 01 29 r 9 28 34 27 49 27 01 26 13 25 23 24 31 23 40 22 46 21 52 20 57 20 00 l8 04 17 06 16 05 15 °4 14 02 13 °o 11 57 1° 54 9 5° 8 46 7 4i 636 5 31 4 25 3 18 2 12 1 06 00 00 2 51 5 4° 8 25 11 05 13 37 16 02 18 18 20 24 22 21 24 08 25 44 27 12 28 30 29 39 3° 41 31 34 32 20 ■32 58 33 31 34 °o 34 20 34 37 34 48 34 54 34 57 34 56 34 5i 34 43 34 31 34 16 33 59 33 39 33 16 32 51 32 24 31 54 31 23 3° 49 30 14 29 36 28 57 28 16 27 35 26 51 26 05 25 19 24 32 23 42 22 53 22 00 21 09 20 15 19 21 18 25 17 29 16 32 15 33 14 35 13 35 12 35 11 34 10 34 9 31 8 29 7 3° 6 23 5 20 4 16 3 12 2 08 1 04 o 00 00 2 37 5 11 7 43 10 11 12 32 14 47 16 54 18 52 20 42 22 24 23 57 25 22 26 39 27 47 28 48 29 41 30 27 32 48 32 33 32 15 31 54 31 31 31 06 30 39 30 09 2938 29 04 28 29 27 52 22 52 22 04 21 14 20 24 19 33 18 41 17 47 16 52 15 58 15 02 14 05 13 07 12 09 11 10 10 12 9 12 8 12 7 11 6 11 5 09 4 08 3 °6 2 04 1 02 o 00 o 00 2 23 4 45 7 05 9 20 11 31 13 36 15 35 17 25 19 10 20 46 22 16 23 37 24 51 2 I 5 ! 26 58 27 52 2837 b. O 31 07 29 19 31 42 29 53 32 10 30 23 32 33 30 47 32 51 31 07 33 05 31 21 33 14 31 33 33 18 31 39 33 19 31 42 '33 16 31 41 33 10 31 37 33 00 31 29 31 20 31 OS 30 50 30 32 30 II 29 48 29 22 28 55 28 25 27 54 27 21 26 47 27 14 26 10 26 34 25 32 25 53 24 52 25 09 24 11 24 25 23 3° 23 39 22 45 22 00 21 14 20 27 19 39 18 49 17 59 17 08 16 16 15 23 14 29 13 34 12 40 11 43 10 47 9 50 » 52 7 54 656 5 57 4 58 3 59 2 59 2 00 1 00 o 00 4 21 6 29 8 34 10 34 12 30 14 21 16 05 17 43 19 14 20 39 21 57 23 oS 24 14 25 12 26 05 26 50 27 32 28 07 28 37 29 02 29 23 29 40 29 52 30 00 30 05 30 06 30 04 29 58 29 50 29 38 29 25 29 08 28 50 28 29 28 05 27 40 27 12 26 44 26 13 25 39 25 06 24 29 23 51 23 13 22 33 21 52 21 09 20 24 19 39 18 54 18 05 17 18 16 28 15 39 14 48 13 56 13 03 12 10 11 17 10 22 9 28 ® 3 2 7 36 6 40 5 43 4 46 3 50 2 52 1 54 o57 o 00 10 11 12 HI. 00 10 20 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 OO IO 20 30 40 50 00 IO 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 SO OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East:' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 197 AZIMUTH OR TRUE BEARING. LATITUDE 48° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 48°. Hour Angle. 24° 25° 26° o / / 180 oo 180 00 174 12 174 01 1 68 30 168 07 162 55 162 22 157 32 15° 49 152 22 151 32 147 29 146 32 142 51 141 50 138 29 137 25 134 23 133 1° 130 32 129 24 126 56 125 47 123 33 122 23 120 22 "9 13 117 21 116 12 114 30 113 22 111 48 no 42 109 15 108 09 106 48 i°5 44 104 27 103 24 102 13 101 n 100 02 99 0I 97 56 9° 57 95 55 94 56 93 56 92 59 92 01 91 04 90 07 89 14 88 17 87 24 86 28 85 37 84 42 83 51 82 56 82 06 81 12 80 23 79 29 78 4° 77 4° 7658 76 04 75 17 74 23 73 36 72 41 7i 55 7° 58 70 14 69 17 78 33 67 35 66 52 6552 65 II 64 10 63 28 62 26 61 45 60 41 60 02 5856 58 17 57 1° 56 31 55 22 54 45 53 34 52 57 5' 43 51 °7 49 52 49 17 47 58 47 25 46 04 45 32 44 08 43 37 42 10 41 40 40 10 39 41 38 10 37 42 36 07 35 40 34 02 33 36 31 55 31 31 29 47 29 24 27 37 27 16 25 25 25 °6 23 '3 22 55 20 59 20 42 18 42 18 28 16 25 16 12 14 06 13 55 II 47 11 38 9 26 9 19 7 06 7 00 4 44 4 4° 2 23 2 21 00 00 27° 28° 28° 30° 31° 32° 33° 34° 35° / / / / / / 180 00 180 00 180 00 180 00 180 00 180 00 173 01 172 42 172 20 171 56 171 28 17° 57 166 10 i°5 33 164 52 164 06 163 13 162 13 159 35 158 42 157 44 15° 39 .155 26 148 14 15403 153 19 152 13 151 02 149 42 146 36 147 28 146 12 144 51 143 22 141 43 139 53 142 01 140 40 139 11 137 35 135 51 133 56 137 00 135 34 134 02 132 22 13° 34 128 37 132 22 13054 129 19 127 39 125 50 123 54 128 07 126 38 125 03 123 23 121 35 119 41 124 n 122 43 121 09 119 29 117 44 115 52 120 34 119 06 "7 35 "5 57 114 14 112 26 117 14 115 46 114 16 112 42 Til 01 109 17 114 07 112 42 ill 13 109 42 108 05 106 25 in 11 109 49 108 23 106 5+ 105 21 103 45 108 28 107 07 i°5 43 104 18 102 47 101 15 i°5 52 104 34 I°3.I3 101 50 100 23 98 54 103 27 102 12 100 52 99 32 98 08 96 42 101 08 99 54 9?38 97 20 96 00 94 36 98 55 97 43 96 30 95 12 93 56 92 36 96 48 95 38 94 27 93 14 91 58 90 40 94 45 93 38 92 28 91 18 89 25 *£° 5 88 50 92 47 91 41 9° 34 88 43 88 15 87 02 9° 53 89 49 87 37 86 28 85 18 89 01 87 59 86 57 85 5i 84 45 83 36 87 12 86 12 85 1° 84 08 83 03 81 57 85 26 8427 83 27 82 26 81 23 80 20 83 42 8245 81 46 80 47 79 46 78 44 82 00 81 °3 80 07 79 °9 78 09 77 09 80 18 79 24 78 28 77 32 76 34 75 36 78 39 77 45 76 5° 75 56 74 59 74 °3 77 °° 76 07 75 14 74 20 73 27 72 32 75 21 74 31 73 39 72 47 7i 54 70 59 73 44 72 54 72 03 7i 13 70 21 69 27 72 06 71 17 70 28 69 39 68 48 6856 70 30 69 42 68 54 68 05 67 16 66 25 68 53 68 06 67 19 66 31 65 43 64 53 °7 15 6631 65 44 64 57 64 10 63 22 65 39 °4 53 64 08 63 23 62 37 61 50 64 01 63 17 62 33 61 49 61 04 60 18 62 22 61 40 °o 57 60 13 59 3° 58 45 60 44 60 02 59 20 5838 57 55 57 11 59 °5 58 24 57 42 57 01 56 20 55 37 57 24 5° 45 56 04 55 24 54 43 54 02 55 43 55 °4 54 25 53 46 53 °° 52 26 54 °2 53 24 52 45 52 07 51 29 50 49 52 18 51 4i 51 °4 5° 27 49 5° 49 11 5° 33 49 58 49 23 48 46 48 10 47 33 48 48 48 14 47 38 47 °4 46 28 45 52 47 °2 46 28 45 54 45 20 44 46 44 11 45 14 44 4i 44 08 43 35 43 °2 42 28 43 24 42 53 42 21 41 49 41 17 4° 45 41 34 41 03 4° 33 40 02 39 3i 39 °° 39 42 39 12 38 42 38 13 37 44 37 13 37 47 37 19 36 51 36 23 35 55 35 25 35 52 35 26 34 59 34 31 34 °5 33 37 33 55 33 3° 33 °4 3238 32 13 31-46 31 58 31 33 31 09 3° 44 30 19 29 54 29 57 29 34 29 n 28 48 28 25 28 02 27 5° 27 35 27 13 26 52 26 30 26 07 25 54 25 33 25 13 24 53 24 33 24 12 23 49 23 31 23 12 22 53 22 35 22 16 21 44 21 27 21 11 20 53 20 36 20 18 19 38 19 22 19 06 18 51 18 35 18 19 17 3° 17 16 17 02 16 48 16 34 16 20 15 21 15 °9 14 56 14 45 14 32 14 20 13 n 13 01 12 50 12 40 12 29 12 18 11 01 10 52 10 43 10 35 10 26 10 17 8 5° 843 8 36 8 29 8 22 8 14 6 38 6 32 6 27 6 22 6 16 6 n 4 25 4 22 4 19 2 08 4 11 4 08 2 13 2 11 2 10 2 05 2 03 00 00 00 00 00 00 Hour Angle. li. 10 12 ill. 00 lO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 SO 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 OO 80 00 74 24 68 51 63 27 58 11 53 °9 48 22 43 48 139 30 35 27 31 IS [28 02 124 39 [21 28 [18 27 [15 35 112 53 [10 19 107 50 I°5 28 103 12 ;oi 01 °8 54 96 51 94 52 92 55 91 01 89 °9 «7 20 «5 32 83 46 82 00 80 17 78 33 76 5° 75 08 73 25 71 42 70 00 68 17 6633 64 50 63 05 61 20 I 59 34 57 47 55 58 54 09 52 17 50 26 48 31 46 36 44 39 42 40 40 40 38 37 3° 33 34 27 32 19 30 10 27 58 25 45 23 31 21 15 18 57 16 38 14 17 II 57 9 34 7 11 4 48 2 24 o 00 180 00 173 48 167 41 161 45 156 03 150 37 145 3i 140 43 13° 15 132 05 128 12 124 35 121 n 118 00 115 01 112 13 109 33 107 02 104 38 102 20 100 07 97 5? 95 5° ' 93 57 92 02 90 09 88 18 86 30 84 44 82 59 81 16 79 33 77 52 76 n 74 30 72 51 71 10 69 31 67 5i 66 10 64 30 62 48 61 06 59 23 57 39 55 54 54 °9 52 22 5° 33 48 44 4° 53 45 01 43 °7 41 TO 39 13 37 14 35 14 33 11 31 °7 29 °3 26 55 24 47 22 37 20 26 18 13 15 59 13 44 11 28 9 12 6 55 4 37 2 19 00 180 00 173 34 167 14 161 05 155 13 149 40 144 27 139 34 135 03 130 51 126 57 123 19 I'? 55 116 47 113 48 in 01 108 23 105 53 103 30 101 13 99 °3 9° 57 94 5° 92 57 91 °3 89 12 87 22 85 35 83 50 82 07 80 24 78 43 77 °3 75 23 73 43 72 05 70 26 68 46 67 07 65 27 6348 62 07 60 26 58 44 57 01 55 18 53 32 51 47 49 59 48 II 46 20 44 29 42 36 40 41 38 45 3° 47 34 48 32 47 3° 44 28 41 26 35 24 28 22 20 20 10 17 58 15 47 13 34 11 19 9 04 6 49 4 33 2 17 00 180 00 173 19 166 43 160 22 154 18 148 36 143 17 138 20 133 45 129 31 125 36 121 59 "8 37 115 28 112 32 109 45 107 09 104 41 102 20 100 06 97 56 95 52 93 52 91 56 90 03 88 13 86 25 84 39 82 56 81 13 79 32 77 51 76 13 74 33 72 55 71 18 69 40 68 01 66 23 °4 45 63 05 61 25 59 4° 58 04 56 22 54 39 52 55 51 11 49 23 47 3° 45 47 43 56 42 05 40 12 38 17 36 19 34 21 32 23 30 21 28 18 26 14 24 08 22 02 19 54 17 45 15 34 13 22 n 10 8 57 6 43 4 29 2 15 o 00 b. O 12 111. 00 10 20 30 40 50 OO lO 20 30 40 60 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 60 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of t e hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 198 AZIMUTH OR TRUE BEARING. LATITUDE 48°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 48°. Hour Ail ale. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. m. o / / / / r t / / / ' ' / I>. m. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 170 21 169 37 168 46 i°7 43 166 27 164 49 162 41 159 47 155 37 149 15 13838 "9 42 10 20 161 04 159 44 158 10 156 18 154 °i 151 14 147 42 143 10 137 12 129 15. 118 32 104 38 20 30 152 3° 150 42 148 37 146 12 143 20 139 56 135 49 13° 5° 124 46 117 24 i°8 35 9823 30 40 144 45 142 40 140 17 137 34 134 27 13° 52 126 41 121 51 116 16 109 51 102 38 94 43 40 50 137 52 135 38 133 ° 8 130 19 127 09 123 37 "9 37 115 08 no 07 104 36 98 34 92 06 50 1 00 131 5° 129 33 127 00 124 12 121 07 117 45 114 01 109 56 105 28 100 40 95 3° 9° 03 1 00 10 126 30 124 13 121 44 119 01 116 05 112 55 109 28 i°5 45 101 45 97 31 93 01 88 20 10 20 121 49 "9 35 117 10 "4 35 in 49 108 50 l°5 39 102 16 98 40 94 53 9° 55 8647 20 30 "7 39 115 29 113 11 no 43 108 06 105 20 102 23 99 17 96 01 92 36 89 °3 85 22 30 40 "3 54 III 50 i°9 37 107 18 104 5° 102 16 99 33 96 41 93 42 9° 3° 87 22 8*03 40 50 no 32 l°8 33 106 27 104 16 101 57 99 32 97 00 94 22 91 37 88 46 85 49 82 49 50 2 00 107 29 105 35 i°3 35 1-01 30 99 19 97 °4 94 4i 92 14 89 42 87 °5 84 23 81 36- 2 OO 10 104 39 102 52 100 57 9858 96 56 94 48 92 35 90 18 87 56 85 3° 8259 80 24 10 20 102 03 100 20 9831 96 39 94 43 92 42 90 38 88 29 86 16 84 00 81 39 79 16 20 30 99 38 97 58 96 16 94 29 92 39 90 44 88 54 8847 86 46 84 41 82 34 80 22 78 08 30 40 97 21 95 46 94 °9 92 27 90 41 87°3 85 09 83 II 81 10 79 °7 77 °i 40 SO 95 13 93 42 92 °7 90 31 88 51 87 09 85 23 83 35 81 44 79 5° 77 53 75 54 50 3 OO 93 11 91 44 90 13 88 41 87°5 85 28 83 47 82 05 80 19 78 31 7641 74 48 3 OO 10 91 13 89 5° 88 23 86 54 85 24 83 51 82 14 80 37 78 56 77 13 75 29 73 43 IO 20 89 22 88 01 8637 85 12 83 45 82 16 80 45 79 11 77 35 75 58 74 18 72 37 20 30 87 34 86 16 84 55 83 34 82 10 8045 79 17 77 48 76 16 74 44 73 °8 7i 31 30 40 85 49 84 33 83 17 81 58 8° 37 79 15 77 52 76 26 7458 73 29 71 58 70 25 40 50 84 07 82 55 81 40 80 24 79 °6 77 48 76 27 75 °5 73 41 72 16 7048 69 20 50 4 00 82 27 81 18 80 06 78 53 77 38 76 22 75 °4 73 45 72 24 71 02 69 38 68 14 4 00 .10 80 51 79 43 78 33 77 22 76 10 74 57 73 42 72 26 71 08 69 49 68 29 67 07 10 20 79 15 78 09 77 02 75 54 74 43 73 33 72 21 71 08 69 52 6837 67 19 66 01 20 30 77 41 76 37 75 32 74 26 73 18 72 10 71 00 69 49 68 37 67 23 66 09 64 53 63 46 30 40 76 09 75 °6 74 °3 72 59 71 53 7° 47 69 40 68 32 67 21 66 11 64 59 40 50 74 37 73 36 72 35 7i 32 70 29 69 25 68 20 67 14 66 06 64 57 63 48 62 37 50 5 00 73 °5 72 06 71 07 70 06 69 05 6803 67 00 65 55 64 50 63 43 62 37 61 28 5 00 10 71 34 7° 37 69 40 68 40 6741 66 41 65 39 64 37 63 34 62 30 61 25 60 18 10 20 70 04 69 09 68 12 67 16 66 18 65 19 64 19 63 20 62 17 61 16 60 13 59 °8 20 30 68 34 67 40 66 45 °5 5° 64 54 6356 62 58 62 01 61 01 60 01 58 59 57 57 30 40 67 04 66 11 65 19 64 25 63 29 62 34 61 38 60 41 59 43 58 45 57 46 56 45 40 50 65 35 64 43 63 52 63 00 62 06 61 12 60 17 59 22 58 26 57 3° 5° 32 55 34 50 6 00 64 04 S3 14 62 24 61 33 60 41 59 49 5825 5856 5803 57 °8 56 13 55 17 54 21 6 00 10 62 34 61 46 6° 57 60 07 59 iS 57 33 56 42 55 48 54 55 54 °i 53 °7 IO 20 61 04 60 17 59 28 58 4° 57 51 57 °i 56 11 55 21 54 29 53 38 52 45 51 52 20 30 59 32 5846 57 59 57 12 5625 55 37 54 48 53 58 53 °8 52 19 51 27 5° 36 30 40 58 OI 57 16 56 3° 55 44 54 58 54 11 53 23 52 36 51 47 5° 59 50 09 49 19 40 50 56 28 55 44 55 °° 54 1° 53 3° 52 45 51 59 51 13 5° 25 49 38 48 49 48 02 50 7 00 54 55 54 12 53 3° 52 46 52 01 51 18 5° 33 49.4S 48 23 49 °3 48 16 47 30 46 43 7 00 10 53 20 52 39 51 57 51 15 5° 32 49 49 49 06 47 38 46 54 46 09 45 22 IO 20 51 45 51 °5 5° 24 49 44 48 12 49 °2 48 21 47 39 46 57 46 13 45 3° 44 47 44 02 20 30 50 10 49 3i 48 51 47 32 46 51 46 10 45 29 44 47 44 °5 43 24 42 41 30 40 4f33 47 56 47 17 4638 45 59 45 20 44 41 44 °i 43 20 42 4° 41 59 41 18 40 50 46 56 46 19 45 41 45 °4 44 26 43 48 43 II 42 32 41 53 41 14 4° 34 39 55 50 8 OO 45 16 44 4° 44 °4 43 28 42 51 42 15 41 38 41 01 40 23 39 46 39 °8 38 3° 8 OO 10 43 37 43 °2 42 28 41 53 41 17 40 41 40 06 39 3° 38 54 38 17 37 4° 37 °3 10 20 41 55 41 21 40 48 40 14 39 4° 39 °6 38 32 37 58 37 22 3°47 36 12 35 37 20 30 40 12 39 4° 39 °7 38 35 38 02 37-3° 36 56 36 23 35 5° 35 17 34 42 34 °9 30 40 38 28 37 58 37 26 36 55 36 23 35 52 35 21 34 49 34 16 33 45 33 12 32 4° 40 50 '36 43 36 14 35 44 35 14 34 44 34 13 33 44 33 13 32 42 32 12 31 41 31 10 50 9 00 34 57 34 29 34 °° 33 31 33 °2 32 34 32 °4 31 36 31 °7 3° 37 30 07 29 38 9 00 10 33 1° 32 43 32 15 31 47 31 20 3° 52 3° 25 2958 29 31 29 02 28 34 28 06 IO 20 31 21 3° 55 30 29 3° °3 29 37 29 n 28 45 28 19 27 52 27 26 26 59 26 33 20 30 29 30 29 06 28 41 28 17 27 52 27 28 27 03 26 39 26 14 25 49 25 24 24 59 30 40 27 39 27 16 26 52 26 30 26 06 25 44 25 20 24 58 24 33 24 10 23 46 23 23 40 60 25 46 25 24 25 °3 24 41 24 20 23 58 23 36 23 14 22 52 22 31 22 10 21 47 50 io 00 23 52 23 33 21 38 23 12 22 53 22 32 22 12 21 52 21 32 21 11 20 51 20 30 20 11 IO OO 10 21 57 21 20 21 02 20 43 20 25 20 06 19 47 19 28 19 10 18 51 1833 10 20 20 01 19 44 19 28 19 10 18 54 1836 18 19 18 02 17 45 17 29 17 II i6 54 20 30 18 04 17 49 17 33 17 18 17 03 16 48 16 33 16 17 16 01 15 46 15 3° 15 15 30 40 16 06 15 53 15 39 15 26 15 12 14 58 14 44 14 31 14 16 14 02 13 48 13 35 40 50 14 °7 13 5° 13 43 13 31 13 19 13 07 12 55 12 43 12 31 12 19 12 07 11 55 50 11 00 12 08 II 58 II 47 11 37 11 26 11 16 11 05 1° 55 10 45 1° 34 10 24 10 14 11 00 10 10 08 9 59 9 5° 9 42 9 33 9 24 9 16 9 06 858 849 8 41 8 32 10 20 8 07 8 00 7 53 746 7 39 7 32 7 25 7 18 7 11 7 °4 6 57 6 50 20 30 6 06 6 00 5 55 5 49 5 45 5 39 5 34 5 29 5 23 5 18 5 13 5°8 30 40 4 °4 4 01 3 57 3 53 3 5° 3 4° 3 43 3 39 3 36 3 32 3 29 3 25 40 50 2 02 2 00 158 1 57 1 55 1 53 1 51 1 5° 1 48 1 46 1 45 1 43 50 12 00 00 00 00 oa 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 199 AZIMUTH OR TRUE BEARING. LATITUDE 48". DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 48°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 66° 57° 58° 59° Hour Angle. b. m. / / u / / / ; / / ' / O T t Ii. iii. OO 00 00 00 00 00 00 00 00 00 00 00 00 10 So 04 57 58 3824 27 29 20 56 16 41 13 44 11 34 9 55 8 37 7 34 6.42 10 20 30 40 50 20 88 08 71 21 56 45 45 23 36 54 30 33 25 45 22 02 19 05 1643 14 47 13 09 30 87 13 75 49 65 04 55 33 47 29 40 48 35 20 3° 49 27 05 2358 21 21 19 06 40 86 17 77 42 69 18 61 28 54 21 48 03 42 33 37 49 33 43 30 11 27 07 24 27 50 85 21 78 28 7i 37 65 02 58 50 53 07 47 55 43 15 39 °5 35 22 32 05 29 °9 1 OO 84 2§ 78 39 72 54 67 15 61 49 5641 51 52 47 25 43 21 39 37 36 15 3 i *l 1 00 10 20 30 40 50 10 i 83 28 78 32 73 34 68 38 63 50 59 12 54 47 5° 37 46 42 43 °5 39 43 36 36 20 82 32 78 13 73 5° 69 29 65 11 66 04 61 00 5656 53 °3 49 20 45 51 42t33 39 29 30 81 35 77 45 73 5° 69 57 62 15 5831 54 53 51 24 48 04 44 53 41 52 40 80 39 77 10 73 39 70 08 66 36 63 06 59 39 56 16 53 «> 49 5° 46 46 43 5° 50 79 42 76 32 73 21 70 07 66 52 63 39 60 27 57 18 54 13 51 12 48 17 45 27 o 00 78 44 75 50 72 54 69 56 6656 63 58 60 59 58 02 55 °8 52 17 49 3° 46 46 2 00 10 20 30 40 50 lO 77 47 75 06 72 22 6938 6651 64 05 61 18 58 32 55 47 53 °5 50 26 47 49 20 76 49 74 19 71 48 69 14 66 39 64 03 61 26 58 5° 56 15 53 41 51 °9 48 3? 30 75 5° 73 3i 71 09 68 46 66 20 63 54 61 26 58 59 56 31 54 °5 51 4° 49 16 40 74 52 72 41 70 27 68 13 65 55 63 38 61 19 58 59 56 40 54 21 52 02 49 44 50 73 53 71 50 69 43 67 37 65 27 63 17 61 06 58 54 56 40 54 28 52 16 5° °3 3 00 72 53 70 57 68 57 6657 64 55 62 52 60 47 58 42 56 35' 54 28 52 22 5° 14 3 00 lO 20 30 lO 71 53 70 02 68 09 66 16 64 19 62 22 60 24 58 24 56 24 54 22 52 21 5° 19 20 7° 53 69 08 67 20 65 32 63 42 61 50 59 56 58 02 56 08 54 11 52 15 50 18 "V 30 §g 68 12 66 30 64 46 63 00 61 14 59 26 57 37 55 47 53 55 52 04 5° " 40 67 15 65 37 63 58 62 18 60 36 5852 57 °8 55 22 53 36 51 48 50 00 40 50 50 67 49 66 15 64 41 63 07 61 31 59 55 58 16 56 3° 54 54 53 12 51 28 49 44 4 00 66 47 65 19 63 49 62 18 60 45 59 11 57 36 56 00 54 23 52 45 51 °5 49 24 4 00 lO 20 30 40 SO lO 65 44 64 18 62 52 61 25 59 56 58 26 56 55 55 22 53 48 52 14 5°38 49 °i 20 64 40 63 18 61 55 60 32 59 06 57 39 56 12 54 43 53 12 5i 4i 50 08 48 34 30 63 35 62 17 & 57 59 37 58 15 56 5" 55 26 54 °° 52 33 51 °5 49 36 48 06 40 62 31 61 14 59 58 58 57 58 40 57 21 56 00 54 39 53 16 51 51 50 26 49 °l 46 ii 50 61 25 60 12 57 42 56 26 55o8 53 49 52 30 51 08 49 46 48 23 5 OO 60 18 59 °8 57 56 56 43 55 29 54 15 52 58 51 41 5° 23 49 °3 47 43 46 21 5 OO lO 20 30 40 50 10 59 " 58 03 56 53 55 43 54 31 53 19 5206 5° 5i 49 35 48 19 47 °° 45 42 20 58 03 56 57 55 50 54 42 53 33 52 23 51 II 50 00 48 47 47 32 46 16 45 01 30 . 56 54 55 5° 54 45 53 4" 52 33 51 25 50 16 49 06 47 55 46 43 45 31 44 16 40 55 45 54 43 53 40 52 37 51 32 50 26 49 19 48 11 47 °3 45 54 44 43 43 31 50 54 34 53 35 52 33 51 32 50 29 49 26 48 21 47 16 46 09 45 °2 43 54 42 45 6 OO 53 23 52 25 51 26 50 27 49 24 48 24 47 22 46 18 45 14 44 °9 43 °3 41 56 6 ft 20 10 52 10 51 H 50 16 49 19 48 20 47 21 46 20 45 19 44 i? 43 14 42 09 41 °5 20 50 58 5" °3 49 °7 48 11 47 14 46 17 45 19 44 19 43 18 42 18 41 15 4° 13 30 -49 43 48 50 47 57 47 "3 46 08 45 12 44 15 43 17 42 18 41 20 40 20 39 18 30 40 50 40 48 28 47 37 46 45 45 S3 44 59 44 "4 43 1° 42 15 41 18 40 21 39 22 38 24 50 47 12 46 23 45 32 44 41 43 49 42 57 42 04 41 10 4° 15 39 21 38 24 37 27 7 00 45 55 45 07 44 17 43 30 42 39 41 48 40 57 40 05 39 12 38 19 37 25 36 29 7 00 10 44 37 43 5° 43 02 42 15 41 27 40 38 39 49 3858 38 07 37 15 36 23 35 3° 10 20 30 20 43 18 42 32 41 46 41 01 40 13 39 27 38 39 37 5° 37 °l 36 12 35 21 34 29 30 41 57 41 14 40 30 39 45 39 °° 38 14 37 28 36 42 35 54 35 06 34 17 33 27 40 40 36 39 54 39 12 38 29 37 45 37 01 36 16 35 31 34 45 33 59 33 13 32 24 40 50 39 14 38 34 37 53 37 11 36 29 35 47 35 °4 34 21 33 36 32 52 32 07 31 20 50 8 OO 37 5° 37 " 36 31 35 52 35 11 34 31 33 49 33 °8 32 25 31 42 3°58 3° 14 8 OO lO 3626 35 48 35 11 34 32 33 53 33 14 32 34 31 54 31 14 3" 3» 29 5° 29 °9 lO 20 35 01 34 24 33 47 33 12 32 34 31 56 31 18 30 40 29 59 29 21 28 41 28 00 20 30 33 34 33 °° 32 24 3' 5° 31 13 30 38 30 01 29 24 28 47 28 09 27 31 26 52 30 40 32 06 31 33 3° 59 30 26 29 52 29 17 2843 28 08 2731 26 56 26 19 25 42 40 50 30 38 30 06 29 34 29 02 28 29 27 5° 27 23 26 50 26 16 25 41 25 °7 24 32 50 9 OO 29 08 28 37 28 07 27 37 27 06 26 34 26 04 25 32 24 59 24 27 23 53 23 20 9 OO lO 27 37 27 09 26 39 26 11 25 42 25 12 24 42 24 12 23 4i 23 09 22 39 22 08 10 20 26 06 25 39 25 12 24 45 24 16 23 48 23 20 22 51 22 22 21 54 21 24 20 55 20 30 24 33 24 08 23 42 23 16 22 50 22 24 21 57 21 3° 21 03 20 36 20 08 19 4° 30 40 22 59 22 36 22 11 21 47 21 22 20 58 20 33 20 07 19 42 19 18 18 51 18 26 40 50 21 25 21 03 20 40 20 17 19 55 19 32 19 09 18 46 18 22 17 58 17 34 17 10 50 lO 00 19 50 19 29 19 08 18 48 18 26 18 05 17 45 17 22 17 00 1638 16 16 15 53 10 00 10 18 13 17 54 17 36 17 16 16 56 16 37 16 17 15 57 15 38 15 17 14 56 14 36 lO 20 16 37 16 19 16 02 15 44 15 26 15 09 14 5° 14 32 14 15 13 56 13 38 13 18 20 30 14 59 14 43 14 28 14 12 13 55 13 40 13 23 13 07 12 50 12 34 12 17 12 00 30 40 13 21 13 07 12 53 12 39 12 24 12 10 11 56 11 42 11 26 11 12 10 56 10 41 40 50 11 42 11 3° 11 17 11 06 10 52 10 40 10 27 10 14 10 01 9 49 9 36 9 23 50 11 00 10 03 9 52 9 41 9 31 9 20 9 09 8 58 8 47 8 37 8 26 8 14 8 02 11 OO lO 8 23 8 14 8 05 7 57 7 48 7 39 7 3° 7 20 7 11 7 02 6 53 6 42 lO 20 6 43 636 6 29 6 22 6 15 6 07 6 00 5 53 5 45 5 37 5 31 5 23 20 30 5 02 4 57 4 52 4 46 4 41 4 36 4 30 4 25 4 19 4 13 4 07 4 02 30 40 3 22 3 18 3 15 3 11 3 08 3 04 3 °° 2 56 2 53 2 49 2 45 2 42 40 50 1 41 1 39 1 37 1 36 1 34 1 32 1 3° 1 29 1 27 1 25 1 23 1 21 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 200 AZIMUTH OR TRUE BEARING. LATITUDE 48°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 48° Hour Angle. 61° 03° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. O 10 11 12 in. OO io 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 SO 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 00 O 00 5 59 ii 46 17 13 22 08 26 33 30 24 33 45 36 35 39 0° 41 °3 42 44 44 08 45 17 46 12 4° 55 47 28 47 52 48 09 48 18 48 21 48 18 48 11 47 59 47 43 47 23 47 0° 46 34 46 05 45 33 44 58 44 21 43 43 43 °2 42 19 41 34 40 47 39 58 39 °9 38 17 37 24 3° 3° 35 34 34 35 33 37 32 37 3i 36 30 33 29 3° 28 26 27 20 26 12 25 °5 23 57 22 46 21 35 20 24 19 12 17 58 16 45 15 30 14 14 12 59 11 42 10 26 9 °9 6 33 5 14 3 56 2 37 I 19 o 00 o 00 5 22 1° 34 15 31 20 04 24 12 27 53 31 07 33 55 36 20 38 23 40 07 41 35 42 48 43 47 44 35 45 14 45 42 46 03 46 17 46 24 46 26 46 22 46 13 46 01 45 4° 45 25 45 °2 44 3° 44 °7 43 35 43 « 42 24 41 46 41 °5 40 22 39 38 3852 38 04 37 15 36 24 35 3° 34 37 33 41 32 45 31 47 30 47 29 46 28 45 27 42 2638 25 33 24 27 23 20 22 12 21 03 19 53 1843 17 32 16 20 15 °7' 13 54 12 39 11 26 10 11 8 55 7 4° 6 24 5 °7 3 5° 2 33 I 17 o 00 o 00 4 50 9 33 14 °3 18 15 22 06 25 35 28 41 31 24 33 48 35 51 37 37 39 °7 4° 23 41 26 42 18 43 01 43 33 43 58. 44 iS- 44 27 44 33 44 33 44 29 44 20 44 06 43 49 43 3° 43 °6 42 40 42 10 41 39 41 °5 40 29 39 5i 39 " 38 28 37 45 36 59 3° 11 35 22 34 31 33 39 32 46 31 51 30 55 29 57 28 59 27 58 26 58 25 56 24 53 23 48 22 44 21 37 20 31 19 23 18 14 17 05 15 54 14 43 13 32 12 20 II 08 9 55 8 42 7 28 6 14 4 59 3 44 2 30 I 15 o 00 o 00 4 23 8 40 12 45 16 37 20 13 23 29 26 26 29 °5 31 25 33 27 35 13 36 45 38 03 39 °9 40 05 40 50 41 26 41 54 42 17 42 31 42 40 42 43 42 42 42 36 42 26 42 13 41 55 41 35 41 12 4° 45 40 17 39 45 39 12 38 35 37 58 36 3° 35 52 35 °6 34 19 33 31 32 41 31 5° 30 57 30 03 29 °7 28 10 27 12 26 14 25 14 24 12 23 10 22 06 21 02 19 57 18 51 17 45 16 37 15 28 14 20 13 1° 12 01 10 50 9 4° 8 27 7 16 6 03 4 52 3 38 2 26 I 13 00 o 00 358 7 51 11 37 15 11 18 31 21 3° 24 23 26 55 29 11 31 11 32 5° 34 28 35 47 3° 5° 37 53 38 41 39 21 39 53 40 18 4° 35 40 47 4° 54 40 56 4° 53 40 46 40 36 40 21 40 03 39 43 39 19 38 53 38 24 37 52 37 18 36 44 ,36 05 35 26 34 44 34 "I 33 16 32 3° 31 42 3° 53 30 01 29 10 28 15 27 21 26 24 25 27 24 3° 23 3° 22 30 21 29 20 26 19 23 18 19 17 14 16 09 15 °3 13 56 12 49 II 40 10 32 in 7 °3 5 53 4 43 3 32 2 22 1 11 o 00 o 00 3 37 7 10 10 35 13 53 16 58 19 5i 22 29 24 55 27 "5 29 02 30 46 32 17 33 37 34 46 35 4° 36 35 37 18 37 52 38 20 38 40 38 55 39 °5 39 <=9 39 10 39 °5 38 57 38 46 38 31 38 13 37 52 37 28 37 °2 36 32 3° 01 35 28 34 53 34 14 33 3° 32 55 32 12 31 27 30 41 29 55 29 05 28 15 27 23 26 31 25 37 24 41 23 46 22 48 21 5° 20 51 19 5° 18 49 17 47 16 44 15 40 14 3° 13 32 12 26 11 20 10 14 9 07 7 59 651 5 43 4 34 3 27 2 18 I 09 o 00 o 00 3 17 6 32 9 4° 12 42 15 33 18 15 20 44 23 02 25 07 27 00 28 42 30 12 31 31 32 41 33 41 34 32 35 17 35 53 36 23 36 46 37 04 37 16 37 23 37 26 37 24 37 19 37 1° 3658 3° 42 36 24 36 03 35 38 35 II 34 43 34 12 33 39 33 °3 32 26 31 47 31 °6 30 24 29 4° 28 55 28 08 27 20 26 31 25 4° 24 48 23 55 23 00 22 05 21 08 20 12 19 13 18 15 17 14 16 13 15 12 14 10 13 °7 12 03 10 59 9 55 8 5° 7 44 ° 39 5 33 4 27 3 20 2 14 I 07 o 00 o 00 3 00 5 57 8 50 11 37 14 16 16 47 19 07 21 17 23 17 25 °5 26 43 28 12 29 3° 30 40 31 4° 32 33 33 18 33 5° 34 28 34 54 35 13 35 27 35 37 35 43 35 43 35 4° 35 35 35 24 35 11 34 55 34 3° 34 14 33 5° 33 23 32 54 32 23 31 51 31 '6 3° 39 30 01 29 20 28 38 27 55 27 II 26 24 25 37 24 48 23 59 23 07 22 15 21 21 20 27 19 32 1836 17 38 16 41 15 42 14 42 13 42 12 42 II 40 l°38 9 3° 8 33 7 3° 6 26 5 22 4 19 3 14 2 09 1 °5 o 00 2 44 5 2° 8 05 10 39 13 °6 15 25 17 37 19 39 21 33 23 17 24 51 26 16 27 34 2843 29 43 3° 36 31 22 32 01 32 34 33 °2 33 24 33 4° 33 52 33 59 34 °3 34 °2 33 58 33 5° 33 39 33 25 33 09 32 49 32 28 32 03 31 3° 31 °7 3° 37 30 04 29 3° 28 53 28 15 27 3° 26 54 26 12 25 28 24 42 23 5° 23 09 22 18 21 29 20 37 19 45 18 52 17 57 17 02 16 07 15 1° 14 13 13 15 12 16 11 17 10 17 9 17 8 16 7 15 6 14 5 12 4 10 3 °7 2 05 I 02 o 00 2 3° 4 58 7 24 9 45 12 00 14 10 16 13 18 07 19 55 21 34 23 04 24 27 25 42 26 50 27 5° 28 43 29 29 3° °9 3° 43 31 12 31 35 31 53 32 06 32 16 32 22 32 23 32 21 32 15 32 07 31 55 31 41 31 24 31 °4 30 42 30 17 29 5° 29 21 28 52 28 19 27 44 27 09 26 31 25 52 25 12 24 3° 23 46 23 02 22 16 21 29 20 42 19 52 19 02 18 10 17 19 16 26 15 32 14 38 13 43 12 47 11 5° 10 52 9 56 8 57 7 59 7 00 6 00 5 01 4 01 3 00 2 00 I 00 o 00 00 2 16 4 32 6 45 8 55 II 00 13 00 14 55 16 42 18 23 19 56 21 2t 22 43 23 55 25 °° 25 59 26 52 27 37 28 18 2853 29 23 29 47 30 07 30 22 3° 33 3° 41 3° 43 3° 43 30 40 3° 33 30 24 30 II 29 56 29 39 29 19 28 56 28 32 28 00 27 38 27 07 26 35 26 01 25 26 24 51 24 10 23 31 22 50 22 08 21 24 20 39 19 53 19 06 18 18 17 28 16 39 1548 14 57 14 °4 13 11 12 17 II 23 10 28 9 33 8 37 I 41 6 44 5 46 4 50 3 51 2 54 I 56 o 58 o 00 ll. O 12 ill. OO IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to We9t. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 201 AZIMUTH OR TRUE BEARING. LATITUDE 49°. DECLINATION— SAME NAME AS— LATITUDE. latitude: 49°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. u. ill. o / / / / 1 / / / / / / / li. m. 00 I So oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 174 36 174 26 174 15 174 04 173 51 173 37 173 22 173 °5 166 18 172 47 172 25 172 02 171 34 IO 20 169 16 16857 168 36 168 13 167 48 167 21 166 51 165 42 165 02 164 16 163 25 20 30 164 02 163 33 163 03 162 30 161 54 161 15 160 33 159 45 158 54 157 57 156 53 155 41 30 40 15857 158 21 157 4i 157 °° 156 14 155 25 154 31 153 32 152 29 151 18 149 59 148 32 40 SO 154 03 153 20 152 33 151 44 15° 51 149 53 148 51 147 42 146 29 145 09 143 4° 142 03 50 1 00 149 21 148 33 147 40 146 45 145 45 14442 143 32 142 17 140 58 139 3° 137 54 136 n 1 00 10 144 53 144 00 143 03 142 03 140 58 139 49 13836 137 16 135 52 134 20 132 41 13° 54 IO 20 140 39 139 43 138 42 137 37 136 30 135 15 134 °i 132 38 131 12 129 37 127 57 126 08 20 30 136 37 135 38 134 35 133 29 132 19 131 °4 129 46 128 22 126 53 125 20 123 39 121 52 30 40 132 5° 131 49 13° 45 129 36 128 25 127 09 125 5° 124 26 122 58 121 25 "9 44 "7 59 40 SO SO 129 15 128 13 127 08 125 59 124 47 123 30 122 12 120 47 119 20 117 48 116 10 114 28 2 00 125 52 124 49 123 43 122 34 121 21 120 06 118 48 117 24 115 58 114 28 112 53 in 14 2 OO 10 122 40 121 37 120 30 119 21 118 10 116 56 "5 37 114 16 112 52 in 23 109 51 108 15 10 20 119 38 118 34 117 29 116 21 115 10 113 "57 112 39 in 20 109 58 108 32 107 02 105 29 20 30 116 44 "5 41 114 37 113 29 112 19 in 07 109 52 108 34 107 14 i°5 51 104 23 102 54 30 40 "3 59 112 58 in 53 no 46 109 37 108 27 107 14 i°5 57 i°4 39 ■ 103 19 i°i 55 100 28 40 SO in 22 IIO 21 109 17 i°8 13 107 05 i°5 56 104 44 103 30 102 15 100 55 99 34 98 11 50 3 OO 108 51 107 51 106 49 i°5 45 104 40 103 32 102 22 101 10 99 5& 98 40 97 21 96 00 3 00 10 106 27 105 28 104 27 103 23 102 19 101 13 100 04 9|55 97 43 96 29 95 13 93 55 10 20 104 08 IO3 IO 102 10 101 09 100 05 99 °° 97 54 96 46 95 37 94 25 93 1° 91 55 20 30 i°i 55 IOO 57 99 58 9858 97 57 9° 53 95 48 94 41 93 34 92 25 91 13 90 01 30 40 99 45 98 48 97 51 96 52 95 52 94 5° 93 46 92 41 91 35 90 28 89 19 88 09 40 50 97 39 96 44 95 47 94 5° 93 5i 92 51 91 49 90 46 89 42 88 37 87 29 86 20 50 4 00 95 37 94 44 93 47 92 51 |i 53 9° 55 89 55 88 54 87 52 8647 85 42 84 36 4 OO 10 93 38 92 45 91 51 9° 55 88 07 89 01 88 03 87 °3 86 02 85 00 835° 82 52 IO 20 91 41 , 9° 5° 89 57 89 02 87 n 86 14 85 15 84 16 83 16 82 14 81 12 20 30 89 48 8856 88 04 87 n 86 17 85 22 84 26 83 3° 82 32 81 34 8° 33 79 32 30 40 87 56 87 06 86 15 85 23 84 3° 83 3° 82 41 81 45 80 5° 79 52 78 54 77 55 40 50 86 06 85 16 84 26 83 35 82 43 81 51 80 58 80 03 79 °9 78 13 77 16 76 18 50 5 00 84 17- 83 28 82 39 81 49 80 59 80 07 79 15 78 22 77 29 76 34 75 39 74 43 73 08 5 OO 10 82 29 81 41 80 53 80 04 79 15 78 24 77 33 76 41 75 5° 74 56 74 02 10 20 80 42 79 56 79 °8 78 21 77 33 76 43 75 53 75 °3 74 12 73 20 72 27 71 33 20 30 78 57 78 n 77 24 76 37 75 5° 75 °2 74 12 73 23 72 34 71 44 7° 51 70 00 30 40 77 " 76 27 75 41 74 55 7408 73 21 72 33 71 45 7° 57 70 07 69 17 6827 40 50 75 28 74 43 73 59 73 13 72 27 71 41 7° 55 70 08 69 20 68 31 °7 42 «53 50 6 00 73 43 73 °o 72 15 71 31 70 47 70 01 69 15- 6829 67 43 66 56 66 08 65 20 6 OO 10 7i 58 71 16 7° 33 69 49 69 05 68 21 67 36 66 50 66 05 65 20 64 33 63 46 IO 20 7° 15 69 32 68 50 68 08 67 25 66 41 65 57 °5 13 64 29 63 45 62 59 62 13 20 30 68 30 67 49 67 07 66 25 65 44 65 00 64 18 °3 34 62 52 62 07 61 22 60 38 30 40 6645 66 04 65 23 64 42 64 01 63 20 62 37 61 55 61 13 60 31 59 47 59 03 40 50 65 00 64 19 63 40 63 00 62 19 61 39 60 57 60 16 59 35 58 53 58 II 57 28 SO 7 OO 63 13 62 34 61 56 61 15 60 37 59 57 59 16 5836 57 56 57 15 56 34 55 52 7 OO 10 61 26 60 48 60 10 59 3i 58 53 58 14 57 35 56 55 56 16 55 36 54 5° 54 15 IO 20 59 39 59 °2 58 24 57 46 57 °9 56 31 55 52 55 13 - 54 35 53 56 53 17 52 38 20 30 57 5i 57 13 56 37 56 00 55 24 54 47 54 °9 53 31 52 54 52 16 51 38 51 00 30 40 56 01 55 25 54.5° 54 13 53 37 53 °i 52 25 51 48 51 12 5° 36 49 58 49 21 40 50 54 10 53 35 53 °° 52 25 51 5i 51 H 50 39 50 04 49 29 48 53 48 16 47 41 50 8 OO 52 18 51 44 51 °9 5° 35 50 01 49 27 48 54 48 17 47 43 47 1° 46 34 45 59 8 00 10 5° 24 49 51 49 18 48 45 48 12 47 38 47 °5 46 31 45 58 45 24 44 51 44 17 IO 20 48 30 47 57 47 25 46 53 46 21 45 48 45 16 44 43 44 12 43 39 43 06 42 34 20 30 46 33 46 02 45 31 45 °° 44 28 43 57 43 25 42 54 42 24 41 52 41 20 40 49 30 40 44 35 44 04 43 35 43 °5 42 35 42 04 41 34 41 °3 4° 34 40 04 39 33 39 03 40 50 42 35 42 06 41 38 41 08 4° 39 40 10 39 41 39 12 38 43 38 14 37 45 37 16 50 9 OO 4° 35 40 06 39 39 39 11 38 43 38 14 37 47 37 18 36 51 36 23 35 55 35 27 9 OO 10 38 32 38 04 37 38 37 11 36 44 36 17 35 5° 35 23 34 57 34 31 34 05 33 38 IO 20 36 27 36 01 35 36 35 1° 34 45 34 19 33 53 33 28 33 °3 32 37 32 12 31 47 20 30 34 21 33 56 33 32 33 °7 32 43 32 19 31 55 31 31 31 °7 3° 43 30 19 29 55 30 40 32 13 31 5° 31 27 31 °4 3° 41 30 18 29 54 29 31 29 09 28 47 28 24 28 02 40 50 30 03 29 41 29 19 28 58 2836 28 15 27 53 27 31 27 n 26 50 26 28 26 07 50 10 OO 27 53 27 31 27 n 26 51 26 31 26 11 25 51 25 31 25 11 24 52 24 31 24 12 10 00 10 25 39 25 20 25 01 24 42 24 24 24 05 23 47 23 28 23 °9 22 51 22 32 22 15 10 20 23 25 23 °7 22 50 22 32 22 15 21 58 21 41 21 25 21 08 20 50 2° 34 20 17 20 30 21 09 20 53 20 37 20 21 20 06 19 51 19 35 19 20 19 °4 18 49 18 34 18 19 30 40 18 51 1837 18 23 18 09 17 55 17 41 17 28 17 14 17 00 16 46 1° 33 16 19 40 50 16 33 16 21 16 08 15 55 15 43 15 31 15 19 15 °7 14 55 14 43 14 3° 14 19 SO 11 OO 14 14 14 03 13 52 13 41 13 3° 13 19 13 °9 12 58 12 48 12 37 12 28 12 17 11 00 10 11 52 11 44 11 35 11 25 n 17 II 08 1058 10 50 10 41 10 32 10 24 10 16 IO 20 9 3i 9 24 9 17 9 10 9 02 8 55 8 48 8 40 8 33 8 27 8 20 813 20 30 7 °9 7 04 658 6 53 6 48 6 41 6 36 631 6 26 6 21 ° 15 6 10 30 40 4 46 4 43 4 39 4 35 4 32 4 29 4 25 4 21 4 17 4 14 4 10 4 °7 40 50 2 23 2 22 2 20 2 18 2 16 2 14 2 12 2 10 2 09 2 07 2 05 2 03 50 12 00 00 00 O 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, -when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 202 AZIMUTH OR TRUE BEARING. latitude: 49°, DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 49°. Hour Angle. 36° 37° 38° 41° 42° 43° 44° 45° 47° Hour Angle. h. O lO 13 in. 00 10 30 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 SO 40 50 00 10 30 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 71 04 62 26 54 2° 46 56 40 14 34 17 28 58 24 14 19 58 16 09 12 40 09 29 06 34 °3 52 01 20 9858 96 44 94 37 9 2 34 90 38 88 46 86 56 85 10 83 28 81 47 80 08 78 31 76 54 75 20 73 46 72 13 70 40 69 07 67 35 66 03 64 31 62 59 61 26 59 53 ;8 20 56 46 55 1° 53 34 51 58 50 22 48 43 47 04 45 24 43 43 42 00 40 17 38 33 36 47 34 59 33 11 31 22 29 Jl 27 38 25 46 23 52 21 56 20 01 18 03 16 05 14 06 12 07 30 07 8 06 6 05 4 °3 2 01 o 00 180 00 170 28 161 19 152 4° 145 °5 138 14 132 11 126 51 122 08 117 56 114 10 no 46 I07 39 104 49 102 II 99 44 97 25 95 15 93 « 91 12 89 18 8729 85 42 83 59 82 18 80 39 79 °3 77 27 75 53 74 20 72 48 71 16 69 45 68 13 66 43 65 13 63 41 62 10 60 39 59 °7 57 34 56 02 54 29 52 54 51 18 49 42 48 05 46 27 44 48 43 °9 41 27 39 45 38 02 36 17 34 31 32 44 3° 56 29 07 27 17 25 25 23 33 21 38 19 44 17 49 15 52 13 55 11 57 9 58 7 59 6 00 4 00 2 00 o 00 180 00 169 45 159 59 151 01 143 01 136 01 129 54 124 34 119 54 "5 46 112 05 108 46 105 45 102 59 100 26 98 03 95 49 93 43 91 43 89 47 87 56 86 10 84 26 82 45 79 31 77 57 76 23 74 51 73 20 71 49 70 19 68 50 67 20 65 5° 64 22 62 52 61 21 59 52 58 22 56 5° 55 18 53 46 52 12 5°38 49 °4 47 28 45 5i 44 13 42 35 4° 54 39 14 37 32 35 48 34 03 32 18 3° 31 28 43 26 54 25 °3 23 13 21 20 19 28 17 33 15 38 13 43 11 47 9 5° 7 53 5 55 3 57 1 58 o 00 180 00 168 55 158 26 148 58 140 40 133 31 127 22 122 04 117 29 113 26 109 52 106 40 i°3 45 101 05 98 37 96 19 94 °9 92 08 90 II 88 20 86 33 84 '49 83 09 81 3° 79 55 78 21 76 49 75 18 73 47 72 18 70 49 69 21 67 53 66 25 64 57 63 29 62 00 60 32 59 °4 57 34 56 04 54 34 53 °4 51 31 49 58 48 24 46 50 45 14 33 34 31 51 30 05 28 18 26 31 24 42 22 53 21 02 19 10 17 18 15 24 13 31 II 36 9 4i 7 45 5 49 3 53 I 57 o 00 180 00 156 36 146 35 '37 59 13° 44 78 42 77 1° 75 4° 74 11 72 43 71 16 69 48 68 22 66 56 65 3° 64 03 62 37 61 10 59 43 58 15 5648 55 18 53 5° 52 20 50 48 49 17 47 45 46 12 44 37 43 37 43 01 41 59 41 25 40 21 39 48 38 41 38 09 37 °° 36 29 35 18 34 48 33 °6 31 24 29 4° 27 54 26 08 24 21 22 33 20 44 18 54 17 03 15 12 13 19 II 26 9 32 7 39 5 45 3 5° 1 55 00 180 00 166 39 154 22 143 44 134 53 127 34 124 36 121 31 119 22 116 25 "4 54 112 07 no 58 108 21 107 31 105 03 104 27 102 07 101 39 99 28 99 °5 97 01 96 44 94 46 94 32 92 40 92 28 90 42 90 31 88 49 88 38 87 02 86 50 85 18 85 °7 83 39 8*03 83 27 81 50 80 29 80 14 78 57 77 27 75 57 74 3° 73 °3 71 37 70 12 68 47 67 22 6558 64 33 63 08 61 43 60 18 58 53 57 27 56 00 54 32 53 °5 51 36 50 06 4836 47 04 45 33 44 00 42 25 40 50 39 14 37 37 35 58 34 19 32 38 3° 57 29 14 27 30 25 46 24 00 22 13 20 26 18 37 16 47 14 58 13 °8 II 16 9 24 7 32 5 39 3 46 1 53 o 00 180 00 165 02 151 35 140 21 131 17 124 01 118 07 "3 13 109 06 l°5 34 102 27 99 4i 97 1° 94 52 92 45 8852 87 06 8523 83 45 82 09 80 36 79 °6 77 37 76 10 74 43 73 18 71 55 70 30 69 °7 67 45 66 22 65 00 63 36 62 13 60 50 59 26 58 02 5638 55 12 53 46 52 20 5° 52 49 23 47 55 46 25 44 54 43 22 41 49 4° 15 38 41 37 °5 35 28 33 5° 32 10 30 29 28 49 27 07 25 23 23 39 21 54 20 07 18 20 16 33 14 45 12 55 II 05 9 16 7 25 5 34 3 43 I 52 o 00 180 00 162 57 148 06 136 17 127 11 120 00 114 22 109 45 l°5 54 102 36 99 41 97 °7 94 46 92 38 90 38 88 46 87 00 85 19 83 42 82 08 80 36 79 °7 77 4° 76 15 74 51 73 27 72 06 70 44 69 22 68 01 66 40 65 20 63 59 62 38 61 16 59 55 58 33 57 °9 55 47 54 23 52 58 51 33 50 07 48 40 47 12 45 44 44 15 42 44 41 11 39 39 38 06 36 32 34 56 33 19 31 4i 30 02 28 22 26 42 24 59 23 18 21 33 19 49 18 03 16 18 14 31 12 44 10 55 9 08 7 19 5 29 3 39 1 5° o 00 180 00 160 06 143 37 131 19 122 17 "5 3° no 14 106 00 102 28 99 27 9648 94 27 92 17 90 19 88 28 86 44 85 °5 83 29 81 58 80 29 79 02 77 37 76 14 74 52 73 31 72 10 7° 51 69 32 68 13 66 54 65 35 64 17 62 58 61 39 60 19 58 59 57 39 56 17 54 56 53 34 52 11 5° 47 49 22 47 57 46 29 45 °2 43 35 42 05 4° 34 39 °4 37 32 35 58 34 25 32 49 31 12 29 35 27 56 26 17 24 37 22 55 21 13 19 3i 17 47 16 02 14 17 12 31 10 46 8 59 7 11 5 23 3 36 180 00 155 59 137 42 125 14 116 39 no 26 105 44 IOI 57 98 50 96 09 93 47 91 4° 89 43 87 55 86 13 84 37 83 °5 81 37 80 11 78 47 77 25 76 05 74 46 73 27 72 10 7° 52 69 35 68 19 67 °3 65 47 64 30 61 56 60 39 59 21 58 03 56 44 55 24 54 °5 52 43 51 22 50 00 48 36 47 12 45 47 44 21 42 54 41 27 39 58 38 28 3658 35 26 33 53 32 18 3° 44 29 07 27 31 25 53 24 13 22 34 20 54 19 12 17 3° 15 47 14 °4 12 20 10 35 8 50 7 °5 5 18 3 33 I 47 o 00 180 00 149 42 129 44 117 49 no 12 104 52 100 51 97 39 95 °o 92 40 90 38 88 46 8703 8526 83 55 82 28 81 04 79 41 78 22 77 °3 75 46 74 31 73 15 72 00 70 46 69 32 68 19 67 05 65 52 64 37 63 23 62 08 60 54 59 39 58 22 57 °6 55 49 54 3° 53 12 51 54 50 34 49 12 47 51 46 28 45 °4 43 4° 42 15 40 48 39 2 ° 37 52 30 22 34 53 33 21 31 49 3° 15 28 40 27 °4 25 28 23 51 22 13 20 34 18 54 17 14 15 33 13 51 12 08 10 25 8 42 658 5 14 3 29 I 45 o 00 180 00 139 09 119 00 108 55 i°2 53 98 45 95 37 93 °5 90 57 89 03 87 S 1 85 47 84 18 82 53 81 33 80 15 78 58 77 43 76 29 75 17 74 °5 72 54 71 43 70 32 69 21 68 11 67 01 65 49 64 39 63 27 62 15 61 03 59 50 5836 57 22 56 08 54 52 53 36 52 19 51 °l 49 43 48 24 47 °4 45 42 44 21 42 57 41 33 40 08 38 42 37 15 35 47 34 18 32 48 31 16 29 45 28 12 26 37 25 °3 23 27 21 51 20 13 18 35 16 57 15 17 13 37 11 56 10 15 8 33 651 5 °8 3 26 I 43 o 00 li. O 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West, In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 203 AZIMUTH OR TRUE BEARING. LATITUDE 49°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 49°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / / / / n 1 - / / t / / r / li. 111. 00 180 oo 00 00 00 00 00 00 00 00 00 00 00 10 120 10 8q 03 88 07 57 26 37 49 26 58 20 31 16 19 13 24 11 16 9 4° 18 39 8 24 7 21 10 20 30 40 50 20 104 55 71 00 56 12 44 46 36 16 29 57 25 13 21 32 16 18 14 22 30 98 33 87 10 75 34 6438 54 58 46 51 40 09 34 4° 30 11 26 29 23 24 20 48 40 94 48 86 13 77 28 6856 60 57 53 44 47 23 41 52 37 °7 33 °3 29 32 26 29 50 92 10 85 16 78 14 71 17 °4 34 58 17 52 29 47 15 42 33 38 22 34 39 31 22 1 00 90 05 84 20 78 28 72 35 66 50 61 18 56 05 ,51 13 54 1° 46 44 49 5° 42 37 38 53 35 3° 1 OO lO 20 30 40 50 10 88 18 83 22 78 21 73 16 68 16 63 21 58 39 45 59 42 20 38 5° 20 8645 82 25 78 01 73 33 69 07 °4 45 60 27 56 20 52 23 48 39 45 0° 41 47 30 85 19 81 28 77 32 73 34 69 35 65 37 61 45 57 57 54 1° 5° 43 47 20 44 °7 40 83 58 80 30 76 58 73 22 69 46 66 11 62 37 59 °° 55 4° 52 20 49 °7 46 01 50 82 42 79 32 76 19 73 °3 69 45 66 28 63 10 59 54 56 43 53 34 5° 3° 47 33 2 00 81 28 78 34 75 37 72 37 69 35 6633 63 3° 60 28 57 28 54 3° 51 36 48 46 2 00 10 20 30 40 50 10 80 16 77 36 74 52 72 06 69 17 66 28 63 37 60 47 57 58 55 " 52 25 49 43 20 79 07 7° 37 74 °5 71 30 68 54 66 15 63 36 6° 57 58 17 55 39 53 °2 50 27 30 77 57 75 38 73 16 7° 51 68 24 65 56 63 24 60 56 58 26 55 57 53 28 5° 59 40 76 49 74 38 72 25 70 09 67 51 65 32 63 11 60 50 58 28 5° °5 53 44 51 22 50 75 42 73 39 7i 33 69 24 67 16 65 °3 62 51 60 37 58 21 56 06 53 5i 51 3° 3 00 74 35 72 38 70 40 68 38 66 36 °4 31 62 26 60 18 58 10 56 01 53 52 51 42 3 00 10 20 30 40 SO 10 73 28 7i 38 69 45 67 5° 65 53 63 55 61 56 59 55 57 53 55 51 53 47 51 43 20 72 22 7° 37 68 50 67 00 65 09 °3 17 61 23 59 28 57 32 55 35 53 36 51 37 30 71 16 69 35 67 53 66 09 64 24 62 36 60 48 58 57 57 °6 55 14 53 21 51 26 40 70 09 68 33 6655 65 16 63 36 61 53 60 09 58 24 5°37 54 5° 53 01 51 « 50 69 03 67 30 65 57 64 22 62 46 61 08 59 28 57 47 56 04 54 21 52 37 50 52 4 OO 67 55 66 27 6458 63 26 61 54 60 20 58 45 57 °8 55 3° 53 51 52 10 50 29 4 OO 10 20 30 40 SO 10 66 48 65 23 6358 62 27 61 01 59 31 58 00 56 26 54 52 53 1° 51 4° 50 02 20 65 40 64 19 62 57 61 33 60 07 58 41 57 12 55 43 54 11 52 4° 51 °7 49 32 30 64 33 63 14 61 55 60 33 59 12 57 48 56 23 54 57 53 29 52 01 5° 3i 49 00 40 63 25 62 09 60 52 59 34 58 15 56 54 55 33 54 1° 52 45 51 20 49 53 48 25 50 62 16 61 03 59 49 58 33 57 17 55 59 54 4° 53 2° 51 59 5° 3° 49 J 3 47 48 5 00 61 06 59 55 58 44 57 3° 56 18 55 02 53 47 52 29 51 10 49 51 48 3° 47 °8 5 00 lO 59 55 5848 57 39 56 29 55 17 54 °5 52 52 51 36 50 21 49 °4 47 45- 46 26 10 20 58 45 57 4° 56 33 55 25 54 16 53 05 51 54 5° 43 49 29 48 15 46 59 45 42 20 30 57 34 5° 3° 55 25 54 20 53 14 52 °5 5° 57 49 47 48 36 47 24 46 II 44 56 30 40 56 21 55 20 54 18 53 13 52 10 51 °3 49 58 48 57 48 50 47 4i 46 32 45 21 44 °9 40 50 55 °9 54 °9 53 °9 52 07 51 °5 50 01 47 51 46 45 45 38 44 29 43 20 50 6 00 53 55 52 57 51 59 5° 59 49 59 4858 47 55 46 52 45 47 44 42 43 36 42 29 6 00 10 52 41 51 45 50 48 49 5° 48 52 47 53 46 52 45 51 44 49 43 45 42 42 41 36 10 20 51 26 50 32 49 37 48 40 47 44 46 46 45 48 44 49 43 49 42 48 41 45 4° 43 20 30 50 10 49 17 48 02 48 24 47 29 46 35 45 39 44 43 43 45 42 47 41 49 40 48 39 47 30 40 48 53 47 1° 46 18 45 24 44 31 43 36 42 41 41 44 40 48 39 5° 38 5° 40 50 47 35 46 46 45 56 45 °5. 44 13 43 21 42 29 41 35 40 41 39 45 38 49 37 52 50 7 OO 46 17 45 28 44 41 43 51 43 01 42 II 41 20 40 28 39 35 3842 37 4| 36 52 7 OO lO 44 56 44 1° 43 24 42 36 41 48 4° 59 40 10 39 20 38 29 37 38 36 46 35 52 10 20 43 36 42 51 42 06 41 29 4° 34 39 47 38 33 38 59 38 II 37 21 3° 32 35 4i 34 5° 20 SO 42 14 41 31 40 48 40 03 39 18 37 47 37 01 36 13 35 25 34 37 33 46 30 40 4° 52 40 10 39 29 38 45 38 02 37 18 36 35 35 49 35 °4 34 18 33 3i 32 43 40 50 39 28 38 48 38 09 37 27 36 45 36 02 35 20 34 37 33 53 33 °9 32 23 31 37 50 8 OO 38 03 37 25 3° 47 36 06 35 26 34 45 34 °5 33 22 32 40 31 58 31 15 30 3° 8 00 10 36 38 36 01 35 24 34 45 34 °7 33 27 32 49 32 09 31 28 3° 47 30 06 29 22 lO 20 35 12 34 3° 34 0° 33 23 32 46 32 09 31 31 3° 53 3° 14 29 35 28 55 28 14 20 30 33 45 33 1° 32 35 32 00 31 25 3° 49 3° 13 29 36 28 59 28 22 27 44 27 05 SO 40 32 15 31 43 31 10 3° 36 3° °3 29 28 28 54 28 19 27 43 27 °7 26 32 25 55 40 50 30 46 3° 15 29 44 29 11 28 39 28 06 27 34 27 00 26 27 25 53 25 18 24 43 50 9 00 29 15 28 45 28 16 27 45 27 14 26 43 26 12 25 41 25 °9 24 36 24 °3 23 3° 9 OO 10 27 44 27 16 26 47 26 18 25 49 25 20 24 5° 24 20 23 5° 23 19 22 47 22 17 lO 20 26 12 25 45 25 18 24.50 24 24 23 56 23 28 22 59 22 31 22 02 21 33 21 03 20 30 24 38 24 13 23 48 23 22 22 57 22 29 22 04 21 39 21 11 20 44 20 16 19 48 30 40 23 04 22 40 22 17 21 53 21 28 21 04 20 40 20 15 19 49 19 24 18 58 18 32 40 50 21 29 21 07 20 45 20 23 19 59 19 37 19 15 18 51 18 28 18 04 17 40 17 15 50 10 OO 19 53 19 33 19 13 18 51 18 31 18 10 17 48 17 28 17 06 16 43 16 22 15 59 10 00 lO 18 16 17 58 17 39 17 20 17 00 16 41 16 22 16 03 15 43 15 23 15 °2 14 41 10 20 16 39 16 22 16 05 15 47 15 3i 15 13 14 55 14 37 14 19 14 01 13 43 13 23 20 30 15 01 14 46 14 31 14 14 13 59 13 43 13 27 13 " 12 54 12 38 12 22 12 05 30 40 13 23 13 09 12 55 12 41 12 27 12 12 » 59 11 44 11 29 II 15 11 00 10 45 40 50 11 44 11 32 11 20 11 07 1° 55 1° 43 10 30 10 17 10 05 9 5i 9 38 9 26 50 11 00 10 04 9 54 9 43 9 33 9 22 9 12 9 01 8 5° 8 38 8 27 8 16 8 05 11 00 10 8 24 8 15 8 07 7 58 7 5° 7 41 7 32 7 22 7 13 7 °3 6 54 6 45 10 20 6 44 6 37 6 30 6 23 6 16 6 08 6 01 5 54 5 47 5 39 5 32 5 26 20 30 5 03 4 58 4 53 4 47 4 42 4 3° 4 31 4 26 4 21 4 15 4 °9 4 °4 30 40 3 22 3 19 3 15 3 12 3 °8 3 °5 3 01 2 57 2 54 2 5° 2 46 2 43 40 50 1 41 1 39 1 3/ I 36 1 34 1 32 1 31 1 29 1 27 1 25 1 23 1 21 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In Horth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 204 AZIMUTH OR TRUE BEARING. LATITUDE 49°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 49°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o / / / / / / / / / / / b. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 lO 6 31 5 48 5 12 4 40 4 13 3 49 3 28 3 l° 2 52 2 37 2 23 10 20 12 46 11 24 10 17 9 15 8 22 7 35 6 53 6 16 5 4* 5 13 4 45 20 30 18 35 16 42 15 02 13 36 12 20 II 14 10 12 9 18 8 28 7 44 7 °4 30 40 23 5° 21 32 19 29 17 42 IS 05 14 4° 13 23 12 13 11 09 10 12 9 19 40 50 28 27 25 51 23 32 21 27 19 35 17 54 16 22 14 59 13 42 12 33 11 29 50 1 00 32 26 29 40 27 08 24 52 22 47 20 53 19 °9 17 35 16 07 14 48 13 33 1 OO 10 35 50 32 57 30 19 27 54 25*41 2338 21 45 20 00 18 24 16 54 15 31 10 20 3842 35 48 33 06 3° 36 28 16 26 06 24 06 22 14 20 30 18 53 17 22 20 30 41 05 38 13 35 30 32 58 3° 34 28 20 26 14 24 17 22 26 20 43 19 06 30 40 43 03 40 14 37 33 35 °° 32 35 30 19 28 10 26 08 24 13 22 25 20 43 40 50 44 41 41 55 39 17 36 46 34 21 32 03 29 52 27 47 25 49 23 57 22 11 50 2 OO 46 00 43 20 4045 38 16 35 52 33 34 31 23 29 17 27 16 25 20 23 31 2 OO 10 47 04 44 29 41 58 39 32 37 11 34 53 32 42 30 35 28 33 26 36 24 44 lO 20 47 54 45 24 42 58 40 36 38 17 36 01 33 51 31 44 29 42 27 44 25 5° 20 30 48 35 46 09 43 48 41 28 39 12 37 °° 34 5° 32 44 30 43 28 43 26 50 30 40 49 02 46 43 44 26 42 10 39 58 37 48 35 41 33 37 31 35 29 36 27 42 40 50 49 21 47 08 44 55 42 44 4° 35 38 27 36 22 34 20 32 20 30 22 28 28 50 3 00 49 33 47 25 45 18 43 1° 41 t>5 39 00 36 57 34 57 32 58 31 °2 29 08 3 OO 10 49 39 47 34 45 31 43 28 41 26 39 25 37 25 35 27 33 3° 31 35 29 42 10 20 49 38 47 38 45 39 43 4° 41 41 39 44 37 47 35 5i 33 56 32 03 30 11 20 30 49 32 47 36 45 41 43 47 41 51 39 56 38 02 36 09 34 16 32 24 3° 35 30 40 49 21 47 3° 45 39 43 47 41 55 40 04 38 13 36 22 34 31 32 41 3° 54 40 50 49 05 47 19 45 31 43 43 4i 55 40 06 38 18 36 30 34 41 32 53 31 °8 50 4 00 48 46 47 °3 45 19 43 34 41 49 40 04 38 18 36 33 34 48 33 °2 31 17 4 00 10 48 23 46 43 45 03 43 22 41 41 39 58 38 15 36 33 34 49 33 °6 31 24 10 20 47 58 46 21 44 44 43 °6 41 27 39 48 38 °8 36 27 34 47 33 °5 31 26 20 30 4728 45 55 44 21 42 46 41 11 39 34 37 57 36 20 34 41 33 02 31 24 30 40 46 56 45 27 43 55 42 24 40 51 39 17 37 43 36 07 34 32 32 56 31 19 40 50 46 22 44 55 43 27 41 58 40 28 38 57 37 25 35 53 34 20 32 46 31 12 50 5 00 45 45 44 20 42 55 41 3° 40 02 38 34 37 °5 35 35 34 °4 32 33 31 °0 5 00 10 45 06 43 45 42 22 40 59 39 34 38 08 36 42 35 14 33 46 32 17 3° 4' lO 20 44 24 43 °6 41 46 40 25 39 °3 37 4° 36 16 34 5i 33 24 31 58 3° 31 20 30 43 42 42 25 41 08 39 5° 38 30 37 °9 35 48 34 25 33 02 31 37 30 12 30 40 42 56 41 42 40 28 39 n 37 55 36 36 35 17 33 57 32 36 31 13 29 50 40 50 42 09 40 58 39 45 38 32 37 17 36 OI 34 45 33 27 32 07 30 48 29 27 50 6 00 41 21 40 11 39 °2 37 5° 3638 35 24 34 1° 32 54 31 37 30 20 29 01 6 OO 10 40 30 39 23 38 15 37 °7 35 57 34 45 33 33 32 19 31 06 29 50 28 34 10 20 39 39 38 34 37 28 36 21 35 14 34 °5 32 55 31 44 3° 31 29 19 28 04 20 30 38 46 37 43 36 39 35 35 34 29 33 22 32 14 31 °5 29 55 28 44 27 33 30 40 37 51 36 5° 35 49 34 46 33 43 32 38 31 32 30 26 29 18 28 09 27 00 40 50 36 55 35 56 34 56 33 57 32 55 31 52 30 49 29 44 28 38 27 32 26 25 50 7 00 35 57 35 00 34 03 33 05 32 06 31 °5 30 04 29 01 27 58 26 54 25 49 7 OO 10 34 58 34 °3 33 08 32 12 31 15 30 16 29 17 28 17 27 16 26 14 25 10 10 20 33 58 33 06 32 12 31 17 30 23 29 26 28 29 27 31 26 32 25 32 24 31 20 30 32 57 32 06 31 15 3° 23 29 29 28 35 27 40 26 43 25 47 24 49 23 51 30 40 31 55 31 06 30 17 29 26 28 35 27 42 26 50 25 56 25 00 24 05 23 08 40 50 30 52 30 05 29 16 28 28 27 39 26 49 25 57 25 06 24 13 23 19 22 25 50 8 00 29 46 29 01 28 15 27 29 26 42 25 53 25 °5 24 15 23 24 22 32 21 41 8 00 10 28 40 27 58 27 13 26 29 25 43 24 57 24 10 23 23 22 34 21 45 20 54 10 20 27 34 26 52 26 II 25 28 24 44 24 00 23 15 22 30 21 43 20 56 20 08 20 30 26 26 25 46 25 07 24 26 23 44 23 02 22 19 21 35 20 51 20 05 19 20 30 40 25 17 24 40 24 02 23 23 22 43 22 02 21 21 -20 40 19 57 19 15 18 31 40 50 24 08 23 32 22 55 22 18 21 41 21 02 20 24 IQ 44 19 04 18 23 17 41 50 9 OO 22 57 22 23 21 48 21 14 20 37 20 01 19 24 18 47 18 09 17 3° 16 51 9 00 10 21 46 21 13 20 40 20 07 19 34 18 59 18 25 17 49 17 13 16 36 15 59 lO 20 20 34 20 02 I932 19 01 18 29 17 57 17 24 16 50 16 16 15 42 15 07 20 30 19 20 18 52 18 22 17 53 17 24 16 54 16 23 15 5i 15 19 14 46 14 14 30 40 18 06 . 17 4° 17 12 16 45 16 17 15 49 15 20 14 51 14 2[ 13 51 13 20 40 50 16 52 16 27 16 02 15 36 15 11 14 43 14 17 13 5° 13 22 12 54 12 26 50 10 00 15 36 15 13 14 50 14 26 14 02 13 39 13 14 12 49 12 23 11 57 11 30 10 00 10 14 20 14 00 13 38 13 17 12 54 12 32 12 10 11 46 II 23 10 59 10 35 10 20 13 °4 12 45 12 26 12 06 11 46 11 25 11 05 10 44 10 23 10 01 9 39 20 30 n 47 11 30 II 12 1° 55 10 36 10 18 10 00 9 41 9 21 9 02 8 42 30 40 10 30 10 15 9 59 9 43 9 27 9 11 8 54 8 37 8 21 8 03 7 46 40 50 9 11 8 59 8 45 8 32 8 17 8 03 7 49 7 34 7 19 7 °4 6 48 50 11 00 7 54 7 42 7 30 7 18 7 07 6 55 6 43 6 29 6 16 6 04 5 5 1 11 OO 10 636 625 6 15 6 06 5 56 5 46 5 35 5 25 5 14 5 °3 4 52 10 20 5 x i 5 09 5 °i 4 53 4 45 4 37 4 29 4 20 4 12 4 03 3 54 2 56 20 30 3 58 3 52 3 46 3 4° 3 33 3 28 3 22 3 15 3 °9 3 02 30 40 2 38 2 35 2 31 2 26 2 22 2 19 2 15 2 10 2 06 2 02 1 57 40 50 1 20 1 17 1 15 1 14 1 11 I 10 1 07 1 °5 I 03 1 01 ° 59 50 12 ' 00 00 00 00 ' 00 00 O OO 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 205 AZIMUTH OR TRUE BEARING. LATITUDE 50°. DECLINATION- ■SAME NAME AS— LATITUDE. LATITUDE 50°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. O 1 / t / / / ' / / / / / h. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 O 00 10 174 48 174 38 174 28 174 18 174 07 '73 55 173 41 173 26 173 °9 172 51 172 3° 172 07 10 20 169 38 169 20 169 02 168 42 168 19 167 55 167 28 166 59 166 26 165 50 165 12 164 27 20 30 164 35 164 09 163 41 163 n 162 39 162 03 161 25 160 44 159 58 159 °7 158 II I57°8 30 40 159 39 159 06 158 30 157 52 157 1° 156 26 155 38 154 45 153 47 152 44 151 34 150 17 40 SO 50 154 53 154 14 153 31 152 45 151 57 151 04 150 08 149 °7 147 59 146 46 145 27 144 00 1 00 150 18 149 32 14845 147 54 146 59 146 00 144 56 143 49 142 35 141 16 139 49 138 14 1 00 10 145 55 145 05 144 13 143 r 7 142 17 141 13 140 °5 138 52 137 34 136 10 1343? 133 °i IO 20 141 44 140 51 139 55 138 56 137 52 136 45 135 33 134 18 131 29 129 56 128 16 20 30 40 30 137 46 136 5° 135 51 134 49 133 43 132 34 131 20 130 02 128 38 127 10 125 37 123 57 40 134 00 133 02' 132 01 130 57 129 50 128 39 127 24 126 06 124 41 123 13 121 40 120 02 50 13° 25 I29 26 128 25 127 20 126 11 124 59 123 45 122 26 121 02 "9 34 118 03 116 25 50 2 OO 127 02 126 01 125 00 123 53 122 45 121 33 120 19 119 01 117 38 116 II 114 41 113 06 2 00 10 123 49 122 48 121 45 120 41 119 32 118 20 117 00 "5 49 114 28 113 °3 I" 35 no 03 IO 20 120 40 119 45 118 43 117 38 116 29 115 18 114 05 112 49 in 29 no 07 108 42 107 12 20 30 117 51 Il6 50 "5 47 114 44 113 35 112 26 in 14 no 00 108 42 107 21 105 58 104 32 30 40 "5 °5 114 04 113 02 "i 59 no 52 109 44 10S 33 107 20 106 05 104 46 103 25 102 00 40 50 112 25 III 25 no 25 109 21 108 16 107 09 106 00 104 48 103 35 102 18 101 00 99 39 50 3 00 109 52 108 53 107 53 106 52 105 48 104 41 103 33 102 25 101 12 99 57 98 42 97 23 3 00 10 107 26 106 28 105 28 104 27 103 25 102 20 101 14 100 06 98 55 97 43 96 30 95 14 10 20 105 04 104 07 103 09 102 09 101 07 100 05 9? 59 97 54 96 45 95 35 94 24 93 °9 20 30 102 47 101 52 100 54 99 55 9855 97 53 96 50 95 46 94 4° 93 3i 92 22 91 11 30 40 50 40 100 35 99 4° 98 45 97 47 96 47 95 47 94 46 93 43 92 39 91 32 90 24 88 31 89 15 50 98 28 97 33 96 38 95 42 94 43 93 45 92 45 91 43 90 41 8936 87 23 4 OO 96 23 95 29 94 36 93 4i 92 43 91 46 90 47 89 47 88 46 87 43 8639 2 53 § 4 OO 10 94 21 93 29 92 36 91 42 9° 46 89 5° 8852 87 54 86 54 85 53 84 51 83 48 10 20 92 22 91 31 9° 39 89 46 88 52 8756 87 00 86 04 85 °5 84 06 83 06 82 04 20 30 90 26 89 35 8845 87 52 86 59 86 06 85 10 84 15 83 18 82 20 81 21 80 21 30 40 88 32 87 42 86 52 86 01 85 08 84 16 83 22 82 28 81 33 80 36 79 39 7841 40 50 86 39 85 50 85 02 84 12 83 20 82 29 81 37 80 44 79 49 78 54 77 59 77 02 50 5 00 84 48 84 00 83 12 82 23 81 33 80 42 79 51 79 °° 78 07 77 12 76 19 75 24 5 OO 10 82 58 82 11 81 24 8036 79 47 78 02 7858 7807 77 17 76 25 75 33 74 40 73 46 10 20 81 10 80 24 79 37 7851 77 14 76 25 75 35 74 45 73 54 73 02 72 09 20 30 79 21 78 37 77 5i 77 05 76 17 75 3° 74 43 73 54 73 °5 72 15 71 24 TO 33 30 40 77 34 76 51 76 06 75 20 74 34 73 47 73 °i 72 14 71 25 70 3° 6947 6857 40 50 75 48 75 04 74 21 73 36 72 51 72 06 7i 19 70 34 69 46 6859 68 10 67 22 50 6 00 74 02 73 18 72 3& 7i 53 70 08 71 08 70 23 69 38 6853 68 07 67 21 66 34 65 46 6 OO 10 72 15 71 33 70 51 69 25 68 41 °7 58 °7 13 66 28 65 43 64 57 64 10 IO 20 70 30 69 48 69 07 68 25 67 42 67 00 66 16 65 33 64 49 64 05 63 20 62 35 20 30 6843 68 02 67 22 66 41 65 59 65 17 64 36 63 53 63 10 62 26 61 43 60 59 30 40 66 56 66 16 65 37 64 57 64 15 63 34 62 53 62 12 61 30 60 47 60 06 59 22 40 50 65 09 64 31 63 51 63 H 62 32 61 52 61 12 60 31 59 5o 59 °9 58 28 57 45 50 7 OO 63 22 62 44 62 06 61 27 60 47 60 08 59 29 58 49 S 8 °9 56 28 57 29 56 49 56 08 7 00 IO 61 33 60 56 60 18 59 41 59 °2 5824 57 45 57 07 55 49 55 °9 54 30 10 20 59 44 59 ° 8 5831 57 54 57 16 56 39 56 02 55 25 54 46 54 08 53 29 52 51 20 30 57 55 57 19 56 43 56 07 55 3° 54 54 54 17 53 40 53 °3 52 26 51 49 51 n 30 40 56 03 55 29 54 54 54 18 53 42 53 07 52 31 51 55 5i 19 50 43 50 07 49 3i 40 50 54 12 53 38 53 03 52 29 51 53 51 19 5° 45 50 10 49 35 49 00 48 25 47 49 50 8 OO 52 18 51 45 51 12 5°38 50 04 49 31 48 57 48 24 47 49 47 15 46 41 46 06 8 OO 10 50 24 49 52 49 19 48 46 48 13 47 41 47 °8 46 35 46 02 45 30 44 57 44 23 10 20 48 28 47 57 47 25 46 53 46 21 45 51 45 19 44 47 44 15 43 43 43 n 42 39 20 30 46 31 46 01 45 30 45 00 44 28 43 58 43 27 42 57 42 26 41 54 41 25 4° 53 30 40 44 32 44 °3 43 33 43 04 42 34 42 04 41 35 41 06 40 35 40 05 39 37 39 °6 40 50 42 32 42 04 41 35 41 07 40 38 40 10 39 41 39 12 38 45 38 16 37 48 37 18 50 » 00 40 29 40 03 39 35 39 07 38 40 38 13 37 46 37 18 36 52 36 23 35 57 35 3° 9 00 10 38 26 38 00 37 35 37 09 36 41 36 16 35 49 35 23 34 57 34 31 34 05 33 39 10 20 36 22 35 57 35 32 35 07 34 41 34 17 33 52 33 27 33 02 32 37 32 13 31 48 20 30 34 15 33 50 33 27 33 04 32 40 32 16 31 53 31 29 31 05 30 42 3° 19 29 55 28 02 30 40 32 06 31 45 31 22 31 00 3° 37 3° 14 29 52 29 3° 29 08 28 46 28 24 40 50 29 58 29 36 29 15 28 54 28 33 28 II 27 51 27 30 27 09 26 49 26 27 26 07 50 io 00 27 46 27 26 27 07 26 46 26 27 26 07 25 48 25 29 25 °9 24 5° 24 30 24 11 10 00 IO 25 32 25 15 24 57 24 38 24 19 24 01 23 43 23 25 23 07 22 50 22 32 22 14 IO 20 23 19 23 03 22 46 22 29 22 11 21 55 21 39 21 22 21 06 20 49 20 33 20 16 20 30 21 03 20 48 20 32 20 17 20 02 19 47 19 32 19 17 19 02 1847 18 32 18 17 30 40 1847 18 32 18 19 18 05 17 52 17 38 17 24 15 1° 17 11 16 58 16 45 16 31 16 17 40 50 16 29 16 16 16 05 15 52 15 4° 15 28 15 °4 14 53 14 40 14 29 14 18 SO 11 00 14 09 13 58 1348 13 38 13 27 13 17 13 07 12 56 12 47 12 36 12 27 12 17 11 00 10 11 49 11 41 n 31 II 23 11 14 n 06 10 57 10 49 10 40 10 31 10 23 10 15 • IO 20 9 29 9 21 9 14 9 08 9 00 8 53 8 46 8 39 832 825 8 19 8 12 20 30 7 06 ~J 01 656 651 6 45 6 40 6 35 6 30 6 25 6 19 6 14 6 10 30 40 4 45 4 41 4 38 4 34 4 31 4 27 4 24 4 21 4 17 4 14 4 10 407 40 50 2 22 2 20 2 19 2 17 2 15 2 14 2 12 2 10 2 08 2 07 2 05 2 03 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and t he supplement of the tabulated azimuth is to be taken for the required true bearing. / 206 AZIMUTH OR TRUE BEARING. LATITUDE 50°. DECLINATION— SAME NAME AS— LATITUDE- latitude: 50°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. in. o / / / / t / t / / / / / b. in. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 lO 171 40 171 10 17° 35 169 54 169 05 168 04 166 50 165 16 163 13 160 25 156 22 150 09 10 20 163 36 162 38 161 31 160 14 158 43 156 54 154 42 151 58 148 31 144 °5 138 12 13° 16 20 30 155 57 154 37 153 °° 151 21 149 20 14658 144 10 140 48 136 45 131 48 125 44 n8 16 30 40 148 52 147 15 145 26 143 25 141 05 138 24 135 19 131 45 127 35 122 43 117 04 no 33 40 50 142 23 140 36 I3» 36 136 24 133 56 131 °8 128 00 124 27 120 26 "5 54 no 49 105 09 SO 1 00 136 32 134 38 132 34 130 18 127 47 124 59 121 55 118 30 114 44 11° 35 106 01 101 04 1 OO 10 131 14 129 19 127 13 124 57 122 27 119 44 "6 47 "3 34 no 04 106 16 102 11 97 49 10 20 126 29 124 33 122 28 120 14 117 50 115 13 112 25 109 24 106 10 102 42 99 01 95 °6 20 30 122 10 120 16 118 14 116 03 "3 45 in 16 108 34 105 48 102 49 99 38 96 16 92 45 30 40 118 16 116 24 114 26 112 23 no 07 107 46 105 14 102 39 99 52 96 57 93 52 90 40 884V 40 50 114 42 "2 55 III 00 109 00 106 53 l°4 39 102 18 99 5i 97 16 94 33 91 43 50 2 00 in 26 log 42 107 52 105 57 103 56 ■101 49 99 36 97 18 94 53 92 22 89 45 87 02 2 OO 10 108 26 106 4^ 105 00 103 09 101 14 99 13 97 °9 94 58 92 42 90 21 87 55 85 24 10 20 105 39 104 01 102 19 100 34 98 44 96 50 94 5i 92 49 90 41 88 28 86 12 83 51 20 30 103 01 101 27 99 50 98 09 96 24 94 3° 92 44 90 47 88 46 86 42,. 84 34 82 22 30 40 100 34 99 °3 97 29 95 53 94 13 92 3° 90 42 88 49 88 53 8658 85 02 83 00 80 57 40 50 98 15 96 47 95 17 93 45 92 09 90 30 87 °4 85 16 83 25 81 30 79 33 , 50 3 00 96 02 94 38 93 12 91 43 90 11 8837 87 00 85 20 8338 81 52 80 04 78 13 3 OO 10 93 56 92 35 91 11 89 46 88 18 86 48 85 15 83 4° 82 02 80 22 78 39 76 53 lO 20 91 54 00 36 88 42 89 15 87 54 86 29 85°3 83 34 82 03 80 30 78 54 77 15 75 35 20 30 89 57 87 24 86 06 84 44 83 21 81 5° 80 29 79 00 77 28 75 53 74 18 30 40 88 04 8651 85 37 84 21 83 02 81 43 80 21 78 57 77 31 76 03 74 33 73 °2 40 50 86 15 85 04 83 52 82 39 81 23 80 06 78 47 77 27 76 05 74 4i 73 14 7i 46 50 4 00 84 28 83 20 82 10 8058 79 46 78 32 77 16 75 58 74 39 73 19 7i 56 70 32 4 OO lO 82 43 81 37 80 30 79 21 78 11 76 59 75 46 74 3i 73 15 71 57 70 38 69 16 10 20 81 02 79 57 78 52 77 45 76 37 75 28 74 16 73 °5 7i 51 7036 69 20 68 02 20 30 79 21 78 19 77 15 76 10 75 04 73 58 72 49 71 40 70 29 69 16 68 03 66 47 30 40 77 42 76 41 75 39 74 37 73 33 72 29 71 22 7° 15 69 06 67 57 66 46 65 33 40 50 76 04 75 °5 74 05 73 °5 72 03 71 01 69 56 68 51 67 45 66 37 65 28 64 18 50 5 00 74 27 73 3" . 72 31 71 33 70 32 69 32 68 04 68 29 67 27 66 23 65 18 64 10 63 °3 5 OO lO 72 52 7" 55 70 59 70 01 69 04 67 °4 66 03 65 01 6358 62 53 61 48 lO 20 71 16 70 22 69 26 68 31 67 34 66 38 6538 64 39 63 40 62 38 61 35 60 33 20 30 69 42 68 48 67 54 67 01 66 06 65 1° 64 13 63 16 62 17 61 18 60 17 59 17 30 40 68 06 67 15 66 23 65 31 64 37 63 43 62 47 61 52 60 55 59 58 58 59 58 00 40 50 «33 65 43 64 52 64 01 63 °9 62 16 61 22 60 28 59 33 5838 57 4° 56 43 50 6 00 64 58 64 09 63 20 62 30 61 40 60 48 59 56 59 °3 58 10 57 17 56 21 55 26 6 00 10 63 24 62 36 61 48 60 59 60 10 59 21 58 3° 57 38 56 47 55 54 55 °° \54 °7 10 20 61 49 61 03 60 16 59 29 58 41 57 53 57 °3 56 14 55 23 54 33 53 40 52 48 20 30 60 14 59 3° 58 44 57 57 57 « 56 24 55 36 54 48 53 59 53 09 52 19 51 29 30 40 58 39 57 55 57 1° 56 26 55 4° 54 55 54 °8 53 21 52 34 51 46 5° 57 50 08 40 50 57 03 56 20 55 37 54 53 54 <=9 53 25 52 39 51 54 51 08 50 22 49 35 48 47 50 7 00 55 27 54 45 54 03 53 2 ° 5238 51 56 51 1° 50 27 49 42 48 57 48 12 47 25 7 00 10 53 50 53 °9 52 28 51 47 51 05 50 23 49 41 48. 58 48 15 47 32 46 47 46 03 10 20 52 11 51 32 5° 52 50 13 49 32 48 52 48 10 47 29 46 48 46 05 45 21 44 39 20 30 5° 33 49 55 48 17 49 17 4838 47 58 47 20 46 39 46 00 45 19 44 38 43 56 43 15 30 40 48 54 47 39 47 02 46 23 45 46 45 °7 44 28 43 49 43 °9 42 29 41 5° 40 ; 50 47 14 4638 46 01 45 25 44 49 44 12 43 34 42 57 42 19 41 4i 41 02 4° 23 SO 8 00 45 32 44 57 44 22 43 47 43 11 42 36 41 59 41 24 40 47 40 10 39 32 38 55 8 OO 10 43 5" 43 17 42 43 42 08 41 34 41 00 40 25 39 5° 39 15 38 4° 38 03 37 28 10 20 42 07 4 1 34 41 02 40 28 39 55 39 2 3 38 48 38 16 37 42 37 °7 36 33 35 59 20 30 40 22* 39 51 39 19 3848 38 16 37 45 37 12 36 40 36 07 35 34 35 °i 34 28 30 40 38 37 38 07 37 37 37 °° 36 35 36 05 35 34 35 °3 34 32 34 °° 33 29 32 57 40 50 36 5° 36 21 35 5i 35 23 34 54 34 25 33 55 33 26 32 56 32 27 31 56 31 26 50 9 00 35 02 34 34 34 °7 33 39 33 11 32 43 32 15 31 47 31 19 3° 5° 30 21 29 52 9 00 10 33 14 32 46 32 20 31 54 31 28 31 °l 3° 34 30 08 29 41 29 13 28 46 28 19- lO 20 31 23 3°58 30 32 30 08 29 43 29 18 28 53 28 27 28 02 27 36 27 10 26 44 20 30 29 32 29 08 28 44 28 21 27 57 27 34 27 09 26 45 26 22 25 58 25 33 25 °9 30 40 27 39 27 17 26 54 26 32 26 11 25 48 25 26 25 °3 24 41 24 18 23 55 23 32 40 50 25 46 25 25 25 °4 24 44 24 22 24 02 23 41 23 20 22 59 22 38 22 16 21 55 50 10 00 23 51 23 33 23 13 22 54 22 34 22 15 21 55 21 36 21 17 20 57 20 37 20 17 10 00 10 21 56 21 38 21 20 21 03 20 45 20 27 20 09 '§ 5 l 19 34 19 15 18 57 18 38 10 20 20 00 19 44 19 28 19 II 18 55 18 38 18 22 18 06 17 5° 17 32 17 16 16 59 20 30 18 03 17 48 17 33 17 18 17 03 16 49 16 34 16 19 16 04 15 49 15 35 15 19 30 40 16 05 15 52 15 38 15 24 15 12 14 59 14 45 14 32 14 19 14 °5 13 52 13 39 40 50 14 06 13 55 13 43 13 31 13 19 13 08 12 56 12 44 12 33 12 21 12 10 11 58 50 11 00 12 06 " 57 II 46 11 36 11 26 n 16 II 07 10 56 10 46 10 36 10 26 10 16 11 00 10 10 06 9 58 9 5° 9 41 9 33 9 24 9 16 9 °7 8 59 851 843 834 lO 20 8 05 7 59 7 52 7 45 7 39 7 32 7 25 7 19 7 12 7 °5 6 59 652 20 30 6 05 5 59 5 55 5 49 5 44 5 38 5 33 5 29 5 24 5 20 5 14 5 °9 30 ' 40 4 °3 3 59 3 57 3 53 3 5° 3 47 3 43 3 39 3 37 3 33 3 3° 3 26 40 1 ( 50 2 02 2 00 1 58 1 56 1 55 1 53 1 52 1 5° I 49 1 47 I 45 1 43 50 13 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 207 AZIMUTH OR TRUE BEARING. LATITUDE 50°. DECI.INATION- SAME NAME AS— LATITUDE. LATITUDE 50°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. b. m. o / / 1 / / / / / / 1 / 1 b. in. 00 iSo oo 180 00 00 00 00 00 00 00 00 00 00 00 10 '39 42 120 40 89 02 56 53 37 14 26 27 20 04 15 57 13 °5 11 00 9 24 8 10 10 20 119 28 115 12 88 05 7° 37 55 38 44 08 35 38 29 ,22 24 40 21 02 18 10 15 52 20 30 109 16 98 44 87°7 75 17 64 09 54 23 46 11 39 28 34 °° 29 33 25 51 22 49 30 40 103 09 94 56 86 10 77 13 68 32 60 25 53 °8 46 43 41 11 36 25 32 20 28 51 40 50 9» 55 92 14 85 12 78 02, 70 55 64 06 57 42 51 50 46 33 41 5° 37 37 33 55 50 1 00 95 46 90 07 84 14 78 15 72 15 66 24 60 46 55 28 50 32 46 00 4i 52 38 08 1 OO 10 93 10 88 19 83 17 78 08 72 58 67 51 62 52 58 04 53 31 49 14 45 15 41 34 10 20 91 00 86 44 82 18 77 48 73 16 68 44 64 16 59 55 55 43 51 43 47 55 44 22 20 30 89 05 85 16 81 20 77 19 73 17 69 13 65 11 6l T2 57 21 53 37 50 01 46 35 30 40 87 21 83 54 80 21 76 46 73 °5 69 25 65 44 62 06 58 32 55 °3 51 38 48 23 40 50 85 44 8237 79 23 76 06 72 46 69 25 66 02 62 40 59 22 56 06 52 53 49 48 50 2 00 84 14 81 21 78 24 75 23 72 20 69 14 66 07 63 01 59 55 56 52 53 51 5° 54 2 OO 10 82 48 80 08 77 25 74 37 71 48 6856 66 03 63 °9 60 16 57 23 54 33 51 45 IO 20 81 26 78 57 76 25 73 51 71 12 6832 65 5° 63 09 60 26 57 43 55 01 52 22 20 30 80 07 77 48 *75 25 73 °° 70 33 68 03 65 32 63 00 60 27 57 54 55 20 52 48 30 40 78 49 76 39 74 25 72 09 69 51 67 3° 65 08 62 45 60 20 57 55 55 29 53 °5 40 50 77 33 75 31 73 25 71 17 69 06 66 54 64 39 62 24 60 08 57 5° 55 32 53 14 50 3 OO 76 19 74 22 72 24 70 23 68 19 66 14 64 07 61 59 59 49 57 38 55 27 53 15 3 OO 10 75 °5 73 15 71 22 69 28 67 31 65 32 63 32 61 28 59 26 57 21 55 15 53 1° IO 20 73 52 72 08 70 20 68 32 66 40 .64 48 62 53 60 57 58 59 57 °° 55 °° 53 °° 20 30 72 4° 71 01 69 18 68 15 67 34 65 49 64 02 62 12 60 21 5829 56 35 54 4° 52 45 30 40 71 33 69 53 66 36 64 55 63 13 61 28 59 42 57 55 56 06 54 15 52 25 40 50 70 17 68 45 67 12 65 37 64 00 62 23 60 42 59 °° 57 19 55 34 53 49 52 02 50 4 OO 69 05 67 38 66 08 64 37 63 °5 61 31 59 54 58 17 56 39 54 59 53 18 5i 36 4 00 10 67 54 66 30 65 °4 63 36 62 08 60 38 59 °6 57 33 55 58 54 21 52 43 51 °5 IO 20 66 43 65 22 63 59 62 35 61 09 59 43 58 15 56 45 55 14 53 41 52 07 5° 33 20 30 65 31 64 13 62 53 61 33 60 10 58 47 57 22 55 56 54 28 52 59 5i 29 49 57 30 40 64 18 63 04 61 47 60 29 59 " 57 5i 56 28 55 °4 53 40 52 15 5° 47 49 19 4» 39 40 50 63 07 61 55 60 41 59 25 58 09 56 52 55 33 54 12 52 51 51 28 50 04 50 5 00 61 54 60 44 59 33 58 21 57 °7 55 53 54 35 53 19 52 00 50 40 49 18 47 57 5 OO 10 60 41 59 34 58 25 57 15 56 03 54 52 53 38 52 23 51 °7 49 5° 48 31 47 13 10 20 59 28 58 23 57 16 56 09 54 59 53 5° 52 39 51 26 5° 13 48 59 47 43 46 26 20 30 58 14 57 " 56 06 55 °I 53 54 52 47 51 38 50 29 49 17 48 05 46 52 45 39 30 40 56 59 55 58 54 56 53 St 5248 51 43 5° 37 49 29 48 21 47 11 45 59 44 48' 40 50 55 45 54 45 53 45 52 44 51 41 5° 39 49 34 48 29 47 23 46 15 45 °6 43 57 50 6 00 54 29 53 31 52 33 51 34 50 33 49 32 48 3° 47 27 46 23 45 I? 44 " 43 °4 6 OO 10 53 12 52 16 51 20 5° 23 49 24 48 26 47 25 46 24 45 22 44 18 43 14 42 10 10 20 51 55 51 °2 5° 06 49 11 48 15 47 18 46 20 45 21 44 21 43 19 42 17 41 15 20 30 5° 37 49 46 4851 47 57 47 °3 46 08 45 12 44 14 43 16 42 17 41 17 40 18 30 40 49 18 48 28 47 36 46 44 45 5i 44 59 44 °4 43 °9 42 13 41 15 40 17 39 19 40 50 47 58 47 1° 46 20 45 3° 44 38 43 47 42 55 42 00 41 06 40 11 39 15 38 19 50 7 00 46 39 45 52 45 °3 44 14 43 25 42 35 41 44 4° 52 40 00 39 °7 38 13 37 18 7 00 10 45 17 44 31 43 44 42 57 42 10 41 22 40 32 39 42 38 52 38 01 37 °9 36 16 10 20 43 55 43 10 42 25 41 4° 4° 53 40 08 39 20 38 32 37 43 36 53 36 03 35 13 20 30 42 32 41 5° 41 06 40 22 39 37 38 53 38 07 37 20 36 33 35 46 34 57 34 °9 30 40 41 08 40 27 39 45 39 °3 38 19 37 37 36 52 36 07 35 23 34 37 33 5° 33 °3 40 50 39 44 39 °4 38 23 37 42 37 °I 36 19 35 37 34 54 34 11 33 26 32 41 31 56 50 8 OO 38 17 37 38 37 00 36 21 35 41 35 01 34 21 33 39 32 58 32 15 31 31 30 48 8 OO 10 36 51 36 14 35 36 34 59 34 21 33 43 33 °3 32 23 31 43 31 °3 30 21 29 40 10 20 35 23 34 48 34 12 33 35 33 °° 32 22 31 45 31 07 30 29 29 49 29 09 28 30 20 30 33 54 33 21 32 46 32 12 31 37 31 02 3° 25 29 49 29 12 2835 27 57 27 19 30 40 32 25 31 52 31 20 3° 47 3° 13 29 39 29 05 28 30 27 56 27 20 26 44 26 08 40 50 3° 54 30 24 29 52 29 21 28 49 28 17 27 44 27 11 26 38 26 04 25 3° 24 55 50 » 00 29 23 28 54 28 24 27 54 27 23 26 53 26 22 25 51 25 19 24 47 24 14 23 42 9 OO 10 27 51 27 23 26 55 26 27 25 58 25 29 24 59 24 31 24 00 23 29 22 58 22 27 10 20 26 18 25 52 25 25 2458 24 31 24 °4 23 36 23 °7 22 39 22 11 21 42 21 13 20 30 24 44 24 20 23 54 23 29 23 04 22 38 22 12 21 45 21 18 20 51 20 25 19 56 30 40 23 09 22 46 22 22 21 58 21 35 21 II 20 46 20 21 19 57 19 32 19 06 18 41 40 50 21 34 21 12 20 50 20 28 20 05 19 43 19 20 18 57 18 35 18 11 17 47 17 24 50 10 00 19 58 19 37 19 17 is 56 18 35 18 15 17 54 17 33 17 12 16 49 16 28 16 06 10 00 10 16 20 18 01 17 43 17 25 17 06 16 47 16 26 16 08 15 48 15 28 15 °7 14 47 10 20 16 42 16 25 16 08 15 52 15 34 15 17 14 59 14 41 14 24 14 06 13 46 13 28 20 30 15 04 14 49 14 33 14 18 14 02 13 47 13 31 13 15 12 59 12 42 12 26 12 10 30 40 13 25 13 11 12 58 12 44 12 30 12 16 12 02 11 48 II 33 11 19 II 04 10 49 40 50 11 45 11 34 II 22 II 10 10 57 10 46 1° 33 10 20 10 08 9 55 9 42 9 3° 50 11 00 10 06 9 55 9 45 9 35 9 25 9 14 9 °3 8 53 8 42 8 3° 8 19 8 08 11 00 10 8 25 8 17 8 08 .8 00 7 51 7 42 7 33 7 24 7 15 7 06 6 56 6 47 10 20 6 45 6 38 631 6 24 6 17 6 10 6 03 5 5° 5 49 5 41 5 33 526 20 30 5 °4 4 59 4 53 448 4 43 4 38 4 32 4 27 4 21 4 16 4 10 4 °5 30 40 3 23 3 19 3 16 3 12 3 09 3 06 3 01 2 58 2 54 2 5° 2 47 2 44 40 50 1 41 1 40 I 38 1 36 I 34 I 33 1 31 1 29 1 27 1 25 1 23 1 22 50 12 00 00 ,0 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and •when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 208 AZIMUTH OR TRUE BEARING. LATITUDE 50°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 50°. Hour Angle. 60° 61° 62° 63° 640 65° 6€S° 67° 68° 69° 70° Hour Angle. li. in. o / / / / 1 / 1 / / / / b. 111. 00 OO 00 00 00 00 00 00 00 00 00 00 00 10 7 oS 6 19 5 38 5 01 4 31 4 04 3 41 3 20 3 02 6 01 \t 2 30 IO 20 13 59 12 24 11 04 9 55 8 55 8 03 7 18 6 37 4 58 20 30 20 15 18 04 16 11 14 34 13 09 ii,54 10 48 9 49 8 56 8 07 7 23 30 40 25 49 23 » 20 55 18 54 17 07 15 33 14 08 12 52 11 43 10 41 9 44 40 50 30 38 27 44 25 °9 22 51 20 48 18 57 17 17 15 46 14 24 13 09 12 00 50 1 00 34 43 31 40 28 54 26 24 24 07 22 04 20 11 18 28 16 55 15 29 14 10 1 OO 10 38 09 35 01 32 09 29 31 27 06 24 53 22 52 20 59 19 16 17 41 16 12 10 20 41 00 37 52 34 5» 32 16 29 46 27 26 25 17 23 17 21 26 19 43 18 06 20 30 43 21 40 16 37 22 34 38 32 06 29 43 27 28 25 23 23 25 21 35 IO - 53 30 40 45 15 42 15 39 24 36 42 34 °7 31 42 29 25 31 08 27 16 25 14 23 19 2*31 40 50 46 46 43 53 41 06 38 26 35 52 33 27 28 57 26 52 24 54 23 02 50 2 00 48 01 45 13 46 18 42 30 39 53 37 23 34 58 32 39 30 26 28 19 26 19 24 24 2 00 10 48 59 43 41 41 07 38 39 36 16 33 58 31 45 29 35 27 35 25 38 IO 20 49 44 47 08 44 36 42 08 39 43 37 22 38 19 35 °6 32 54 30 46 28 43 26 44 20 30 50 17 47 48 45 22 42 58 40 36 36 04 33 53 31 46 29 43 27 44 30 40 50 50 41 48 18 45 56 43 37 41 19 39 05 36 52 34 44 32 37 30 36 28 36 40 50 55 48 38 46 22 44 07 41 54 39 42 37 33 35 26 33 22 31 20 29 21 50 3 OO 10 51 02 48 50 46 40 44 29 42 20 40 12 3805 36 01 33 59 31 59 30 00 3 OO 51 03 4 I 5 Z 46 50 44 45 42 39 40 35 38 31 36 29 34 29 32 30 30 34 10 20 30 40 50 50 58 48 56 46 55 44 53 42 52 40 51 3851 36 52 34 53 32 57 31 01 20 50 48 4851 46 54 44 56 42 59 41 01 39 04 37 08 35 12 33 18 31 24 30 5° 33 48 40 46 47 44 54 42 59 41 06 39 12 37 19 35 25 33 34 31 41 40 50 14 4825 46 36 44 48 42 57 41 06 39 15 37 25 35 34 33 45 31 55 50 4 OO 10 20 30 40 50 49 51 48 07 46 22 44 35 42 49 41 02 39 14 37 26 35 38 33 50 32 03 4 00 49 26 47 44 46 01 44 21 42 37 40 53 39 09 37 24 35 38 33 53 32 08 IO 48 56 47 18 45 41 44 01 42 21 40 41 3= 59 37 16 35 35 33 52 32 09 20 48 24 46 50 45 15 43 39 42 02 40 24 38 45 37 06 35 26 33 47 32 06 30 47 49 46 19 44 47 43 14 41 41 40 06 3829 36 53 35 16 33 38 32 00 40 47 12 45 44 . 44 16 42 46 41 15 39 43 38 10 36 36 35 02 .33 27 31 51 50 5 00 10 20 30 40 50 4& 33 45 08 43 42 42 15 40 48 39 18 37 48 36 17 34 44 33 12 31 39 5 OO 45 51 44.30 43 06 41 42 40 17 38 51 37 23 35 54 34 24 32 55 31 24 10 45 07 43 49 42 29 41 07 39 44 38 20 36 55 35 29 34 02 32 35 31 06 20 44 22 43 06 41 48 40 29 39 °9 37 48 36 26 35 01 33 37 32 12 30 46 30 43 35 42 21 41 05 39 49 38 32 37 13 35 53 34 32 33 10 31 47 30 23 40 42 46 ■ 41 34 40 22 39 07 37 53 36 37 35 19 34 00 32 41 31 20 29 58 50 6 00 10 20 30 41 58 40 47 39 36 38 25 37 " 35 58 34 43 33 26 32 09 30 51 29 32 6 OO 41 03 39 56 3848 37 39 36 29 35 17 34 04 32 50 31 35 30 20 29 03 10 40 10 39 05 38 12 37 59 37 08 36 52 35 44 34 35 33 25 32 13 31 00 2946 28 32 20 39 15 36 04 34 58 33 52 32 43 31 33 30 23 29 12 28 00 30 40 50 38 18 37 18 36 16 35 14 34 10 33 06 31 59 30 52 29 44 2835 27 25 40 37 21 36 23 35 23 34 22 33 21 32 18 31 15 30 10 29 04 27 57 26 48 50 7 00 10 20 30 40 50 36 22 35 26 34 28 33 29 32 30 31 29 30 28 29 25 28 22 27 17 26 12 7 OO 35 22 34 28 33 32 32 35 31 38 30 40 29 40 28 51 28 40 27 38 26 35 25 32 10 34 21 33 28 32 35 31 39 30 45 2I5I 27 53 26 54 25 53 24 52 20 33 18 32 27 31 36 30 44 29 50 28 01 27 05 26 07 25 09 24 10 30 32 14 31 26 30 36 2 i 4 5 2854 28 02 27 09 26 15 25 20 24 24 23 27 40 31 °9 30 23 29 35 28 46 27 57 27 07 26 17 25 25 24 31 23 37 22 43 50 8 00 3° 03 29 18 28 33 27 46 26 59 26 11 25 22 24 32 23 41 22 50 21 57 8 00 10 28 56 28 14 27 30 26 46 26 00 25 13 24 27 23 39 22 50 -22 01 21 11 10 20 30 40 27 49 27 08 26 26 25 43 24 59 24 16 23 31 22 44 21 58 21 12 20 23 20 26 40 26 01 25 20 24 39 2358 23 16 22 33 21 49 21 05 20 20 19 34 30 25 30 24 52 24 14 23 36 22 57 22 16 21 35 20 54 20 II 19 29 18 44 40 50 24 19 23 43 23 08 22 31 21 54 21 15 20 36 19 56 19 16 18 35 17 54 50 9 00 23 08 22 34 21 59 21 25 20 49 20 13 19 36 18 59 18 21 17 42 17 03 9 OO 10 21 55 21 24 20 51 20 18 10 4?, 19 10 18 36 18 00 17 24 16 48 16 10 10 20 20 42 20 13 19 42 19 II 18 38 18 07 17 34 17 00 16 26 15 52 15 18 20 30 19 (29 19 01 18 31 18 02 17 32 17 02 16 32 16 00 15 29 14 56 14 24 30 40 50 18 13 17 48 17 21 16 53 16 26 15 57 15 29 14 59 13 58 14 30 14 00 13 29 40 1659 16 35 16 09 15 44 15 18 14 52 14 25 13 30 13 02 12 33 50 10 OO 15 43 15 20 14 57 14 34 14 10 13 46 13 21 12 56 12 30 12 04 11 06 II 38 10 00 10 14 26 14 06 13 44 13 23 13 01 12 39 12 16 " 53 II 3° 10 42 IO 20 13 09 12 51 12 32 12 12 11 52 11 32 11 11 10 50 10 20 9 28 10 07 9 46 20 30 11 52 " 35 1-1 17 11 00 10 42 10 24 10 06 9 46 9 08 8 48 30 40 50 10 34 10 18 10 04 9 48 9 31 9 16 8 59 8 43 825 8 08 7 5° 40 9 16 9 02 8 49 8 36 8 22 8 07 7 52 7 37 7 23 7 08 652 50 11 OO I 5 l 7 45 7 33 7 22 7 10 658 6 45 6 33 6 20 6 07 5 54 11 OO io 20 30 638 6 28 6 19 6 09 5 59 5 48 5 38 5 28 5 18 5 07 4 55 10 5 18 5 11 5 03 4 55 4 48 4 39 4 31 4 23 4 14 4 05 3 57 20 3 59 3 54 3 48 3 42 3 36 3 29 3 24 3 17 3 11 3 04 2 58 30 40 2 39 2 36 2 32 2 28 2 24 2 20 2 16 2 11 2 07 2 03 1 59 40 50 1 20 1 18 I 16 1 14 1 12 1 10 I 08 1 06 1 04 1 02 59 50 " 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latltnde, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East - and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 209 AZIMUTH OR TRUE BEARING. LATITUDE 51°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 51°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hoar Angle. h. in. o / / / / / / ' / / 1 / / h. in- 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 174 59 174 51 174 41 174 32 174 21 174 11 168 25 162 48 173 58 173 45 173 31 173 14 172 56 172 3 6 10 30 170 00 169 43 169 26 169 07 168 48 168 02 167 35 167 07 166 35 166 00 165 22 20 30 165 06 164 42 164 16 163 49 163 20 162 13 161 36 160 55 160 09 159 20 15= 25 30 40 50 160 18 159 48 159 15 158 39 158 03 157 22 156 39 155 51 154 59 15402 153 °° 151 52 40 155 40 155 04 154 24 153 42 152 58 152 10 151 19 15° 23 149 21 148 16 147 °4 145 46 50 1 00 151 11 150 3° 149 45 148 58 148 07 147 12 146 15 145 12 144 06 142 54 141 35 140 09 1 00 10 146 53 146 07 145 18 144 26 143 31 142 28 141 29 140 22 139 1° 137 53 136 29 134 59 10 20 142 46 141 57 141 04 140 09 139 1° 138 07 137 01 135 5° 134 35 133 15 131 48 130 16 20 30 13850 137 58 137 °2 136 04 135 °4 133 58 132 49 131 36 130 18 128 56 127 29 125 56 30 40 135 06 134 12 133 14 132 14 131 n 130 03 128 54 127 40 126 21 124 58 123 3° 121 58 40 50 131 32 130 37 129 38 128 36 127 33 126 24 125 13 123 59 122 40 121 17 119 51 118 19 50 2 00 128 09 127 12 126 12 125 10 124 05 122 57 121 46 120 32 119 14 117 52 116 26 114 56 2 00 10 124 54 123 58 122 58 121 56 120 50 "9 43 118 32 117 18 116 00 114 40 113 15 in 48 10 20 121 51 120 54 119 53 118 51 117 46 116 38 115 28 "4 15 112 59 in 41 no 18 108 52 20 30 118 55 "7 58 116 57 "5 56 114 51 "3 44 112 35 III 24 no 09 108 51 107 31 106 08 30 40 116 07 "5 09 114 10 113 08 112 04 no 58 109 51 108 40 107 26 106 11 l°4 53 103 32 40 50 113 26 112 29 III 30 no 29 109 26 108 21 107 15 106 06 i°4 53 103 39 102 23 101 05 50 it OO no 51 109 55 108 56 i°7 57 i°6 55 i°5 5° 104 45 l°3 38 102 28 101 16 100 02 98 46 3 00 10 108 22 107 27 106 29 105 27 104 29 103 27 102 22 101 16 100 08 98 58 97 46 96 32 10 20 105 59 105 04 104 07 103 09 102 09 101 07 100 05 99 °i 97 53 96 45 95 36 94 24 20 30 103 40 102 46 101 50 100 53 99 54 98 54 97 53 96 50 95 44 94 38 93 3° 92 20 30 40 101 25 100 32 99 39 98 41 97 44 96 44 95 45 94 44 93 39 92 35 91 29 90 22 40 50 99 15 98 22 97 28 96 33 95 37 94 39 93 4i 92 41 91 39 90 36 89 31 88 26 50 4 00 97 08 96 17 95 24 94 3°> 93 35 92 37 91 41 90 42 89 4i 88 40 8738 86 34 4 OO 10 95 04 94 13 93 21 92 27 91 34 90 38 89 43 88 45 87 46 86 47 85 46 84 44 10 20 93 ° 2 92 12 91 22 90 30 89 37 88 42 87 48 86 51 85 55 84 5° 83 57 82 57 20 30 91 04 90 15 89 25 88 33 87 42 86 48 85 55 85 00 84 04 8308 82 10 81 n 30 40 89 08 88 19 87 3° 86 40 85 49 84 57 84 05 83 12 82 16 81 21 8025 79 28 40 50 87 13 86 26 85 37 84 48 8358 83 °7 82 16 81 23 80 31 79 36 78 42 77 46 50 5 OO 85 19 84 33 83 45 82 56 82 08 ai 18 80 29 79 37 78 45 77 52 76 59 76 05 5 OO io 83 27 82 42 81 57 81 07 80 20 79 S° 7842 77 52 77 °i 76 10 75 18 74 24 10 20 81 36 80 54 80 06 79 19 78 33 77 45 76 56 76 oS 75 18 74 28 73 37 72 46 20 30 79 47 79 °3 78 17 77 32 76 46 75 59 75 12 74 25 73 35 72 47 71 58 71 09 30 40 77 57 77 14 76 3° 75 45 75 °° 74 14 73 28 72 42 7i 54 71 06 70 17 69 29 40 50 76 09 75 26 74 43 73 59 73 15 72 30 71 45 71 00 70 13 69 26 68 39 67 51 50 6 00 74 21 73 39 72 57 72 14 71 30 70 46 70 03 69 17 68 32 67 46 67 00 66 14 6 00 IO 72 33 71 51 71 10 70 27 69 46 69 02 68 19 67 35 6651 66 06 . °5 21 64 36 10 20 70 45 70 05 69 24 68 43 68 00 67 18 66 36 65 53 65 10 64 27 63 43 62 59 20 30 6857 68 17 67 37 66 56 66 16 65 34 64 53 64 12 63 29 62 47 62 03 61 21 30 40 67 08 66 29 65 5° 65 10 64 31 63 5° 63 10 62 30 61 47 61 06 60 24 59 41 40 50 65 20 64 41 64 03 63 24 62 45 62 05 61 26 60 47 60 06 59 25 58 44 58 03 50 7 00 63 30 62 53 62 16 61 37 60 59 60 20 59 42 59 °4 58 24 57 44 57 °4 56 24 7 OO 10 61 40 61 04 60 27 59 50 59 13 58 35 57 58 57 20 56 41 56 02 55 24 54 45 10 20 59 50 59 14 5838 58 02 57 25 56 49 56 13 55 35 54 57 54 20 53 41 53 °4 20 30 57 59 57 24 56 49 56 13 55 38 55 01 54 26 53 5° 53 13 52 36 52 00 51 23 30 40 56 07 55 33 54 59 54 23 53 49 ■ 53 14 52 39 52 04 51 28 50 52 5° 17 49 4i 40 50 54 14 53 41 S3 °7 52 33 5i 59 51 25 5° 52 5° 17 49 42 49 °8 48 33 47 58 50 8 00 52 19 51 47 51 14 5° 41 50 08 49 35 49 °3 48 29 47 55 47 22 46 48 46 14 8 00 10 50 24 49 52 49 21 48 48 48 16 47 44 47 12 46 41 46 08 45 35 45 °3 44 31 IO 20 48 28 47 56 47 26 46 55 46 24 45 52 45 22 44 51 44 18 43 47 43 17 42 45 20 30 46 29 45 59 45 29 44 59 44 3° 43 59 43 29 42 59 42 29 41 59 41 29 40 58 30 40 44 3° 44 01 43 32 43 °3 42 34 42 05 41 37 41 °7 40 38 40 08 39 39 39 1° 40 50 42 29 42 01 41 33 41 °5 40 37 40 09 39 42 39 14 38 45 38 17 37 5° 37 22 50 9 OO 40 26 40 00 39 33 39 ° 6 38 39 38 12 37 46 37 20 36 52 36 25 35 59 35 31 9 00 10 38 23 37 57 37 31 37 °5 36 40 36 14 35 48 35 24 34 58 34 32 34 06 33 41 10 20 36 18 35 53 35 28 35 °4 34 39 34 15 33 51 33 26 33 °2 32 38 32 13 31 49 20 30 34 10 33 47 33 24 33 0° 3238 32 14 31 51 31 28 31 °5 30 42 30 19 29 5° 30 40 32 02 31 40 31 18 3° 55 3° 34 30 12 29 50 29 29 29 06 2845 28 23 28 02 40 50 29 52 29 31 29 II 28 50 28 29 28 09 27 49 27 28 27 °7 26 48 26 27 26 07 50 10 00 27 41 27 21 27 02 26 43 26 24 26 04 25 45 25 27 25 °8 24 49 24 30 24 11 10 00 10 25 28 25 10' 24 52 24 34 24 16 23 58 23 4i 23 23 23 06 22 49 22 32 22 14 10 20 23 14 22 57 22 42 22 25 22 09 21 52 21 37 21 20 21 04 20 47 20 32 20 16 20 30 20 59 20 45 20 29 20 14 19 59 19 44 19 30 19 15 19 01 18 46 18 31 18 17 30 40 18 42 18 29 18 16 18 02 17 49 17 35 17 22 17 09 16 55 16 42 16 29 16 17 40 50 16 25 16 12 16 00 15 48 15 37 15 26 15 14 15 °3 14 50 14 39 14 28 14 17 SO 11 OO 14 06 13 55 13 45 13 35 13 25 13 15 13 °4 12 55 12 45 12 35 12 25 12 15 11 00 10 II 46 n 37 II 29 II 21 II 12 11 04 10 55 10 47 10 38 10 30 10 22 10 14 10 20 9 25 9 19 9 12 9 °5 8 59 8 52 8 45 8 38 831 8 25 8 18 8 11 20 30 7 05 ° 59 6 54 6 49 6 44 6 39 6 34 6 29 6 24 6 19 6 14 6 09 30 40 4 43 4 40 4 37 4 33 4 3° 4 26 4 23 4 20 4 16 4 13 4 09 4 06 40 50 2 22 2 20 2 19 2 17 2 15 2 14 2 12 2 10 -2 09 2 07 2 05 2 03 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned' from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02 14 210 AZIMUTH OR TRUE BEARING. LATITUDE 51°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 51°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / t / / 1 / / / n / / / li. in. 00 180 oo z8o 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 172 13 171 48 171 17 170 43 170 02 169 14 168 15 167 02 165 30 163 29 160 44 156 45 10 20 16438 163 48 162 51 161 46 160 30 159 01 157 13 155 °3 152 22 148 58 144 35 138 44 20 30 157 23 156 13 154 55 153 25 151 43 149 42 147 22 144 36 141 17 137 14 132 19 126 14 30 40 150 35 149 11 147 36 145 49 143 48 141 29 138 5° 135 47 128 27 132 13 128 04 123 12 117 31 40 50 144 19 142 44 140 59 139 01 136 49 134 22 131 35 124 55 120 52 116 18 in 11 50 1 00 138 36 136 53 135 ° 2 132 58 130 42 128 II 125 25 122 20 118 55 "5 °7 no 56 106 19 1 00 10 133 21 131 35 129 41 127 35 125 19 122 50 120 08 117 10 "3 56 no 24 106 34 102 26 IO 30 128 36 126 49 124 55 122 49 120 36 118 11 "5 34 "2 45 i°9 43 106 26 102 56 99 12. 20 30 124 16 122 29 120 36 118 34 116 23 114 03 in 35 108 55 106 04 103 03 99 5° 96 25 30 40 120 18 118 34 116 43 114 44 112 38 no 24 108 02 105 32 102 52 100 04 97 06 94 °° 9*48 40 50 116 42 "4 59 113 11 in 16 109 15 107 08 104 53 102 31 100 01 97 25 94 39 50 2 00 113 21 in 41 i°9 57- 108 06 106 10 104 08 102 00 99 46 97 26 94 59 92 26 89 47 2 OO 10 no 15 108 38 106 58 105 10 103 20 101 24 99 23 97 16 95 °4 92 47 90 24 8756 10 20 107 22 105 48 104 12 102 29 100 43 9852 96 57 94 57 92 53 90 44 88 30 86 11 20 30 i°4 39 103 09 101 36 99 58 98 16 96 30 94 42 92 47 90 50 88 48 86 41 8431 30 40 102 07 100 40 99 09 97 35 95 58 94 17 92 33 9° 45 88 54 86 59 84 59 82 57 • 40 50 99 44 98 19 96 52 95 22 93 48 92 12 90 32 88 49 87 °4 85 14 83 21 81 25 50 3 00 97 26 96 05 94 4i 93 13 91 44 90 12 88 37 8658 85 17 83 34 81 47 79 57 3 00 10 95 15 93 56 92 35 91 10 8946 88 17 86 46 85 12 83 36 81 57 80 15 78 31 10 20 93 1° 91 54 9° 35 89 14 87 52 86 27 84 59 83 29 81 58 80 23 78 46 77 °6 20 30 91 09 89 54 88 40 87 21 86 02 84 40 83 17 81 51 80 22 78 52 77 19 75 43 30 40 89 12 88 00 8647 8532 84 15 82 57 81 36 80 14 78 49 77 22 75 53 74 22 40 50 87 18 86 09 84 58 83 45 82 32 81 16 79 58 78 39 77 17 75 54 74 29 73 01 50 4 00 85 29 84 21 83 13 82 03 8051 79 38 78 23 77 °6 75 49 74 28 73 °6 71 43 4 00 10 S3 40 82 35 81 29 80 21 79 12 78 01 76 49 75 35 74 19 73 03 7i 43 70 24 10 20 81 54 80 51 79 47 78 42 77 35 76 26 75 17 74 °5 72 52 7i 38 70 22 69 04 20 30 80 11 79 1° 78 08 77 °3 75 59 74 52 73 45 72 36 71 26 70 15 69 00 6746 30 40 78 30 77 3" 76 29 75 27 74 25 73 20 72 15 7i °9 70 00 68 52 67 40 66 29 40 50 76 48 75 51 74 52 73 52 72 51 71 49 7° 45 69 4i 68 36 67 28 66 20 65 10 50 5 00 75 °9 74 13 73 15 72 17 71 18 70 17 69 16 68 14 66 48 67 10 66 05 64 59 63 52 5 00 10 73 30 72 36 71 40 7° 43 69 46 68 47 67 48 65 45 64 43 63 39 62 35 IO 20 7i 53 71 00 70 06 69 10 68 14 67 17 66 20 65 21 64 22 63 21 62 19 61 16 20 30 70 16 69 24 68 31 67 37 66 43 65 47 64 51 63 55 62 57 61 58 60 58 59 57 5838 30 40 6838 67 48 6657 66 05 65 12 64 18 63 23 62 28 61 32 60 35 59 36 40 50 67 03 66 13 65 23 64 33 63 41 62 49 61 56 61 03 60 08 59 12 58 16 57 19 50 6 00 65 26 64 38 63 49 62 59 62 10 61 19 60 28 59 35 58 43 57 49 56 54 55 59 6 00 10 63 51 63 03 , 62 15 61 27 60 38 59 49 58 19 58 59 58 09 57 18 56 25 55 32 54 39 10 20 62 13 61 27 60 42 59 '55 59 08 57 31 56 41 55 52 55 01 54 1° 53 17 20 30 60 36 59 52 59 °7 58 21 57 35 56 49 56 02 55 14 54 26 53 36 52 46 51 56 30 40 58 59 58 15 57 32 56 47 56 03 55 18 54 32 53 45 52 59 52 11 51 23 50 34 40 50 57 21 56 40 55 57 55 14 54 31 53 46 53 °2 52 17 51 32 50 46 49 58 49 11 50 7 00 55 44 55 °2 54 21 53 39 52 57 52 14 51 31 5° 47 50 04 49 19 48 33 47 47 7 00 10 54 °6 53 25 52 44 52 04 51 23 50 41 50 00 49 17 48 34 47 51 47 °8 46 23 IO 20 52 26 51 47 51 °8 50 29 49 48 49 08 48 28 47 47 47 05 46 23 45 41 44 58 20 30 5° 45 50 08 49 3° 48 51 48 13 47 33 46 55 46 16 45 35 44 55 44 14 43 32 30 40 49 05 48 29 47 52 47 15 4638 45 59 45 21 44 43 44 °5 43 25 42 45 42 06 40 50 47 24 46 48 46 12 45 37 45 °i 44 23 43 47 43 10 42 33 41 55 41 16 40 38 50 8 00 45 41 45 °6 44 32 43 57 43 23 42 47 ' 42 12 41 36 41 00 40 23 39 47 39 1° 8 OO 10 43 57 43 25 42 51 42 17 41 44 41 09 40 36 40 02 39 27 38 51 38 16 37 40 10 20 42 13 41 41 41 09 40 37 40 04 39 31 38 59 38 26 37 53 37 18 36 44 36 10 20 30 40 27 39 57 39 26 38 55 38 23 37 52 37 21 36 49 36 17 35 45 35 12 34 39 30 40 38 41 38 12 37 42 37 13 36 43 36 12 35 42 35 11 34 41 34 °9 33 38 33 °7 40 50 3° 54 36 26 35 57 35 28 34 59 34 31 34 °2 33 33 33 04 32 35 32 05 31 34 50 8 00 35 °5 34 38 34 11 33 43 33 16 32 48 32 21 31 54 31 26 30 57 30 29 30 00 9 OO 10 33 15 32 5° 32 24 30 36 31 57 31 32 31 06 3° 39 3° 13 29 47 29 20 28 53 28 26 IO 20 31 25 31 01 30 12 29 47 29 22 28 '58 28 32 28 07 27 42 27 16 26 51 20 30 29 34 29 10 28 47 28 23 28 00 27 36 27 14 26 50 26 26 26 02 25 39 25 14 30 40 27 40 27 18 26 57 26 35 26 13 25 51 25 29 25 °7 24 45 24 23 23 59 23 37 40 50 25 47 25 27 25 06 24 4? 24 25 24 °5 23 44 23 23 23 03 22 41 22 21 21 59 50 10 00 23 52 23 33 23 14 22 55 22 36 22 18 21 58 21 39 21 20 21 00 20 41 20 21 10 00 10 21 56 21 38 21 21 21 03 20 46 20 28 20 II 19 53 18 08 19 36 19 18 18 59 18 42 10 20 20 00 19 44 19 28 19 12 1856 18 40 18 24 17 52 17 35 17 18 17 00 20 30 18 02 17 48 17 34 17 19 17 04 16 50 16 35 16 21 16 06 15 51 15 37 15 21 30 40 :6 04 15 51 15 38 15 26 15 13 14 59 13 °8 14 46 14 33 14 21 14 07 13 53 13 40 40 50 14 05 13 54 13 42 13 31 13 19 12 57 12 46 12 34 12 23 12 11 11 59 50 11 00 12 05 II 56 11 46 11 36 II 27 II 17 II 07 10 57 10 47 10 38 10 28 10 17 11 00 10 10 06 9 58 9 49 9 41 9 32 9 24 9 17 9 °9 9 00 851 844 ? 35 10 20 8 05 7 59 7 52 7 45 7 39 7 32 7 25 7 19 7 12 7 06 6 59 6 53 20 30 6 05 5 59 5 54 35 „ 5 5° 5 45 5 39 5 34 5 29 5 24 5 20 5 15 5 °9 30 40 4 03 3 59 3 53 3 50 3 47 3 43 3 39 3 37 3 33 3 3° 3 26 40 50 2 02 2 00 1 58 1 56 1 55 1 53 1 52 1 50 I 49 1 47 1 45 1 43 50 12 00 00 00 00 00' 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 211 AZIMUTH OR TRUE BEARING. IiATlTTJDE 51°. DECLINATION— SAME NAME AS— LATITUDE. L.ATITCDE 51°. Hour An gle. 48° 40° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. ll. m. O / / / / / / ' / / / / / ll. 111. 00 180 oo 180 00 180 00 00 op 36 3° 00 00 00 00 00 00 00 10 150 37 140 15 121 n 89 02 56 18 25 54 19 37 15 34 28 45 12 45 10 43 9 08 10 20 20 130 49 119 58 105 31 9855 88 03 70 15 55 02 43 27 34 59 24 06 20 31 17 42 30 118 45 109 37 87 05 75 00 63 39 53 45 45 30 38 46 33 19 28 52 25 14 30 40 no 56 103 24 95 °3 86 07 76 59 68 06 59 52 52 28 46 00 40 27 35 4i 31 37 40 SO 105 26 99 "7 92 18 85 08 77 48 70 33 63 36 57 06 51 10 45 49 41 04 36 52 50 1 00 101 18 95 53 r 8 s 84 10 78 02 7i 56 65 57 60 14 54 50 49 50 45 15 4831 41 06 1 OO 10 98 00 93 16 S3 11 77 56 72 39 67 25 62 20 57 28 52 51 44 29 10 20 95 15 91 03 86 42 82 12 77 36 72 57 68 20 63 47 59 21 55 04 51 01 47 1° 20 30 92 51 89 06 85 13 81 13 77 °7 72 58 68 50 64 43 60 40 56 44 52 56 4917 30 40 90 44 87 20 83 50 80 13 76 32 72 48 69 02 65 18 61 35 57 56 54 23 50 56 40 50 88 49 85 43 82 32 79 14 75 53 72 28 69 03 65 36 62 11 58 47 55 28 52 12 50 2 00 87 02 84 11 81 15 78 14 75 10 72 02 6853 65 42 62 32 59 22 56 15 53 10 2 OO 10 85 22 82 44 80 01 77 14 74 24 7i 31 6835 65 38 62 41 59 44 5648 53 53 10 20 8348 81 20 78 50 76 14 73 35 70 55 68 11 65 27 62 40 59 54 57 09 54 23 20 30 82 18 79 59 77 38 75 13 72 45 70 15 67 42 65 07 62 32 59 55 57 19 54 42 30 40 80 51 7841 76 29 74 12 71 54 69 33 67 09 64 44 62 18 59 49 57 21 54 52 40 50 79 27 77 24 75 19 73 11 71 00 68 48 66 32 64 15 61 57 59 37 57 16 54 55 50 3 00 78 05 76 09 74 11 72 09 70 07 68 00 65 52 63 43 61 31 59 19 57 06 54 51 3 OO 10 76 44 74 54 73 ° 2 7i 07 69 10 67 11 65 10 63 08 61 02 58 57 5649 54 41 10 20 75 24 73 38 71,54 70 05 68 14 66 20 64 25 62 29 60 30 5829 56 28 54 26 20 30 74 06 72 27 70 46 69 02 67 16 65 29 63 39 61 47 59 54 57 59 56 03 54 °6 30 40 72 50 71 14 6938 67 58 66 17 64 35 62 50 61 04 59 15 57 26 55 35 53 42 40 50 71 33 70 02 68 29 66 54 65 18 63 39 62 00 60 18 58 34 56 49 55 02 53 15 50 4 00 70 17 68 50 67 21 65 50 64 18 62 43 61 07 59 30 57 5i 56 10 54 28 52 45 4 00 10 69 01 6738 66 12 64 45 63 17 61 45 60 14 58 41 57 05 56 18 55 28 53 50 52 10 IO 20 67 46 66 25 65 03 63 40 62 14 60 47 59 19 57 49 54 45 53 11 51 34 20 30 66 31 65 13 63 55 62 33 61 12 59 48 5823 5656 55 28 53 59 52 29 50 56 30 40 65 16 64 00 62 44 61 27 60 08 5848 57 25 56 02 54 37 53 11 51 44 50 15 40 50 64 00 62 47 61 34 60 20 59 03 57 46 56 27 55 07 53 45 52 21 5° 57 49 32 50 5 OO 62 45 61 35 60 23 59 11 58 03 57 58 56 43 55 28 54 10 52 51 51 31 50 09 48 47 5 00 io 61 29 60 21 59 13 5« 52 55 40 54 26 53 12 5i 56 5038 4 % z i 47 59 IO 20 60 12 59 °7 58 01 56 54 55 45 54 35 53 25 52 12 50 59 49 44 48 28 47 11 20 30 5856 57 53 56 49 55 43 54 37 53 30 52 22 51 12 50 00 48 48 47 35 46 21 30 40 40 57 39 56 37 55 35 54 33 53 29 52 24 51 17 50 10 49 01 47 51 46 41 45 28 50 56 2 55 21 54 22 53 21 52 20 51 16 5° 13 49 °7 48 01 46 53 45 45 44 36 50 6 00 55 °4 54 °5 53 08 52 09 51 09 50 08 49 06 48 03 46 59 45 54 44 48 43 40 6 00 IO 53 45 5248 51 53 50 56 49 58 48 59 47 59 46 58 45 56 44 53 43 49 42 44 10 20 52 26 51 32 50 37 49 42 48 46 47 49 46 52 45 52 44 52 43 51 42 50 41 46 20 30 51 °5 50 13 49 20 48 27 47 33 46 37 45 41 44 45 43 47 42 48 41 49 40 48 30 40 49' 45 48 54 48 03 47 12 46 19 45 26 44 32 43 37 42 41 41 44 40 47 39 47 40 50 48 24 47 35 46 46 45 55 45 05 44 13 43 21 42 28 41 34 40 39 39 43 38 45 50 7 00 47 "I 46 14 45 27 44 38 43 49 43 00 42 09 41 17 40 24 39 32 3838 37 43 7 00 10 45 39 44 52 44 07 43 20 42 33 41 45 40 56 40 06 39 15 38 25 37 33 36 39 10 20 44 15 43 3° 42 46 42 01 41 15 40 29 39 42 38 54 38 05 37 16 36 26 35 35 20 30 4 2 5 1 42 07 41 25 40 41 39 58 39 12 38 27 37 41 36 54 36 07 35 18 34 29 30 40 41 25 4° 43 40 03 39 21 38 38 37 55 37 II 36 27 35 42 34 56 34 10 33 22 40 50 39 59' 39 2° 38 40 37 59 37 19 36 37 35 54 35 12- 34 28 33 44 33 00 32 15 50 S OO 38 32 37 54 37 15 36 36 35 57 35 17 34 37 33 56 33 14 32 31 31 49 3i 05 8 OO IO 37 04 3627 35 51 35 13 34 36 33 57 33 19 32 39 31 59 31 18 3038 29 56 10 20 35 36 35 00 34 25 33 49 33 13- 32 3 6 31 59 31 21 3° 43 30 04 29 25 2845 20 30 34 06 33 32 32 58 32 24 31 49 31 14 30 38 30 03 29 26 28 49 28 12 27 33 30 40 32 36 32 03 31 31 3° 58 30 26 29 5i 29 17 28 43 28 08 27 33 26 57 26 21 40 50 31 °4 30 33 30 "3 29 31 29 00 28 28 27 55 27 22 26 49 26 15 25 42 25 °7 50 9 00 29 3 1 29 02 28 34 28 03 27 34 27 03 26 33 26 01 25 30 24 58 24 25 23 53 9 OO 10 27 59 27 3" 27 03 26 35 26 06 25 38 25 °9 24 40 24 10 23 39 23 09 22 38 10 20 26 25 25 58 25 32 ,25 06 24 40 24 12 23 44 23 17 22 49 22 21 21 52 21 22 20 30 24 5° 24 26 24 01 23 36 23 11 22 45 22 20 21 53 21 27 21 00 20 33 20 05 30 40 23 15 22 52 22 29 22 05 21 42 21 17 20 53 20 29 20 05 19 40 19 14 18 48 40 50 21 38 21 17 20 56 20 34 20 12 19 50 19 27 19 04 18 42 18 18 17 55 17 30 50 10 00 20 02 19 41 19 22 19 02 18 41 18 21 18 00 17 39 17 17 1656 16 34 16 12 10 00 10 18 24 18 06 17 48 17 29 17 10 16 51 16 32 16 12 15 52 15 33 15 13 14 53 10 20 16 46 16 29 16 12 15 55 15 38 15 21 15 04 14 46 14 28 14 11 13 52 13 33 20 30 15 08 14 52 14 36 14 21 14 05 13 51 13 35 13 19 13 03 12 47 12 30 12 14 30 40 13 27 13 13 13 00 12 47 12 33 12 20 12 06 11 52 II 38 11 23 II 08 10 53 40 SO 11 48 II 35 II 24 11 12 11 01 10 48 10 36 10 23 10 11 9 58 9 45 9 33 50 11 00 10' 07 9 57 9 47 9 37 9 27 9 16 9 06 8 55 8 44 8 34 8 22 8 11 11 00 10 8 27 8 18 8 10 8 01 7 53 7 44 7 35 7 26 7 17 7 08 6 59 6 50 IO 20 6 46 6 39 6 32 6 25 6 19 6 11 6 05 5 58 5 50 5 43 5 35 5 28 20 30 5 05 4 59 4 54 4 49 4 44 4 39 4 33 4 28 4 22 4 17 4 12 4 07 30 40 3 23 3 20 3 16 3 13 3 10 3 06 3 03 2 59 2 55 2 52 2 48 2 45 40 50 1 42 1 40 138 1 37 1 35 1 33 1 32 I 30 1 28 1 26 1 24 1 22 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO 1 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 212 AZIMUTH OR TRUE BEARING. LATITUDE 51°. DECLINATION— SAME NAME AS— LATITUDE. LATITlBli 51°. Hour All gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o / / / r 1 / / / / t / li. 111. O 00 00 00 00 00 00 00 00 00 00 00 00 00 10 7 55 65° 6 07 5 26 4 51 4 21 3 55 3 32 3 12 2 53 2 37 10 20 15 26 13 34 12 01 10 42 9 35 8 37 7 4° 7 01 6 21 5 46 5 13 20 30 22 13 19 42 17 33 15 4i 14 06 12 42 11 28 10 23 9 25 8 33 7 45 30 40 28 09 25 09 22 33 20 18 18 18 1° 33 15 00 13 3° 12 21 11 15 10 13 40 50 33 10 29 53 26 59 24 26 22 09 20 07 18 17 16 39 15 10 13 49 12 35 50 1 00 37 19 33 5° 3° 52 28 07 25 37 23 22 21 19 19 28 1748 16 14 1440 1 OO 10 40 46 37 21 34 12 31 20 28 42 26 19 24 06 22 05 20 14 18 31 16 5° 10 20 43 33 40 11 37 02 34o8 31 24 2854 26 36 24 26 22 28 20 37 18 54 20 30 45 49 42 31 39 25 3° 31 33 4° 31 12 28 50 26 35 24 30 22 33 20 44 30 40 47 37 44 27 41 25 38 32 35 48 33 13 3° 47 28 30 26 21 24 18 «2 25 40 50 49 03 45 59 43 03 40 13 37 32 34 58 32 31 30 12 28 00 25 55 23 57 50 2 00 50 11 47 15 44 24 41 40 39 °° 36 28 34 °2 31 41 29 29 27 22 25 20 2 OO 10 51 02 48 14 45 30 42 49 40 14 37 45 35 20 33 °° 30 47 28 39 26 35 10 20 51 4i 49 00 46 21 43 47 41 16 38 49 36 27 34 08 31 55 29 4° 27 42 20 30 52 08 49 33 47 02 44 33 42 06 39 43 37 23 35 °° 32 54 30 46 28 41 30 40 52 26 49 59 47 33 45 °8 42 4° 40 27 38 10 35 55 33 44 31 37 29 34 40 50 52 35 50 14 47 53 45 35 43 17 41 02 3848 3° 3° 34 27 32 21 30 18 50 :i 00 52 37 50 22 .48 07 45 53 43 40 41 29 39 18 37 °9 35 03 32 58 30 5° 3 00 10 52 33 50 23 48 14 46 04 43 5° 41 48 39 41 37 3° 35 32 33 29 3i 29 10 20 52 22 50 18 48 15 46 10 44 05 42 02 39 58 37 55 35 54 33 55 31 56 20 30 52 08 50 09 48 09 46 09 44 09 42 09 40 09 38 10 36 II 34 14 32 17 30 40 51 49 49 54 47 59 46 04 44 08 42 11 40 15 38 19 3° 23 34 28 32 32 40 50 51 26 49 36 47 45 45 53 44 01 42 08 4° 15 38 22 3° 3° 34 37 32 45 50 4 OO 5° 59 4 g I4 > 47 27 45 40 43 5i 42 02 40 12 38 22 36 32 34 42 32 52 4 OO 10 50 31 48 48 47 °5 45 21 43 3° 41 51 40 04 38 17 36 30 34 43 32 55 IO 20 49 58 48 19 46 40 44 59 43 18 41 3° 39 52 3809 36 24 34 4° 32 54 20 30 49 22 47 47 46 12 44 35 42 57 41 18 39 37 37 5° 3° 15 34 33 32 49 30 40 48 45 47 13 45 40 44 06 42 32 40 56 39 19 37 41 3° 02 34 22 32 42 40 50 48 06 46 36 45 °7 43 36 42 04 4° 31 38 57 37 22 35 4° 34 10 32 32 50 5 00 47 23 45 57 44 31 43 °3 41 34 40 04 38 33 37 °° 35 27 33 53 32 18 5 00 10 46 38 45 1° 43 54 42 27 41 01 39 35 38 06 3° 3° 35 05 33 34 32 01 10 20 45 53 44 33 43 12 41 50 40 27 39 ° 2 37 3° 3° 10 34 42 33 13 31 42 20 30 45 05 43 47 42 3° 41 10 39 49 38 28 37 05 35 40 34 15 32 48 31 21 30 40 44 15 43 01 41 45 40 28 39 10 37 52 3° 31 35 °9 33 4° 32 22 30 57 40 50 43 25 42 12 40 59 39 45 3» 29 37 13 35 54 34 35 33 1° 31 54 3° 31 50 6 00 42 32 41 23 40 12 38 59 37 47 3° 33 35 16 34 00 32 42 31 23 30 02 6 00 10 41 38 40 30 39 22 38 12 37 °2 35 5° 34 37 33 23 32 07 30 51 29 33 10 20 40 43 39 37 3»43 3831 37 25 36 16 35 °7 33 55 32 43 31 31 30 16 29 00 20 30 3 ? 4 5 37 3? 3° 34 35 28 34 21 33 13 32 03 3° 51 29 39 28 26 30 40 38 48 37 47 36 46 35 42 34 38 33 34 32 28 31 20 30 12 29 01 27 5° 40 50 37 49 36 49 35 5° 34 50 33 48 32 45 3' 41 30 36 29 30 28 22 27 14 50 7 00 36 48 35 5i 34 54 33 55 32 5° 31 55 3° 54 29 50 28 46 27 42 26 35 7 OO 10 35 46 34 51 33 57 32 59 32 02 31 04 30 04 29 °4 28 02 26 59 25 55 10 20 34 44 33 5° 32 57 32 03 31 07 30 11 29 14 28 15 27 16 26 16 25 14 20 30 33 4° 3248 31 58 31 05 30 12 29 18 28 22 27 26 26 28 25 30 24 31 30 40 32 34 31 46 3° 56 30 06 29 15 28 23 27 29 26 35 25 4° 24 44 23 47 40 50 31 29 30 42 .29 54 29 °5 28 17 27 27 26 36 25 43 24 51 23 5° 23 01 50 8 OO 30 22 29 37 28 51 28 05 27 17 26 29 25 40 24 5° 23 59 23 08 22 15 8 OO 10 29 '3 28 31 27 4° 27 02 26 17 25 31 24 44 23 56 23 °7 22 18 21 27 10 20 28 04 27 23 26 41 25 59 25 16 24 32 23 4° 23 00 22 15 21 27 20 38 20 30 26 54 26 15 25 35 ■•A 55 24 14 23 32 22 49 22 05 21 20 20 35 19 49 30 40 25 44 25 06 24 27 23 49 23 11 22 31 21 49 21 08 20 26 19 42 18 5 I 40 50 24 33 23 57 23 21 22 43 22 06 21 28 20 50 20 10 19 30 18 49 18 07 50 9 00 23 20 22 46 22 12 21 3° 21 02 20 26 10 49 19 11 18 32 17 54 17 15 9 OO 10 22 07 21 35 21 02 20 29 19 5° 19 21 18 18 18 47 18 12 17 35 1° 59 16 21 10 20 20 53 20 22 19 52 19 21 18 50 17 44 17 II 1638 16 03 15 28 20 30 19 38 19 09 18 41 18 11 17 42 17 12 16 41 16 10 15 38 15 0° 14 32 30 40 18 23 17 5° 17 20 17 02 1° 35 16 05 15 38 15 09 14 39 14.09 13 38 40 50 17 06 16 42 16 17 15 52 15 26 15 00 14 33- 14 07 13 39 13 1° 12 42 50 10 00 15 50 15 27 15 04 14 41 14 17 13 53 13 28 13 03 12 38 12 13 11 45 10 00 10 H 33 14 12 13 5 J 13 30 13 08 12 46 12 23 12 00 11 3° II 13 10 49 IO 20 13 15 12 56 1238 12 18 11 58 11 38 II 17 10 56 1° 35 10 13 9 51 20 30 " 57 11 40 11 23 11 05 10 47 10 30 10 10 9 52 9 33 9 13 8 53 30 40 10 38 10 24 10 08 9 53 9 3° 9 21 9 04 847 831 8 13 7 55 40 50 9 20 9 06 8 53 8 39 8 25 8 11 7 57 7 42 7 27 7 12 6 57 50 11 00 8 00 7 48 7 37 7 25 7 14 7 02 6 49 6 37 6 24 6 11 5 57 11 OO 10 6 41 631 6 22 6 12 6 02 5 5i 5 41 5 3i 5 20 5 09 4 58 IO 20 5 21 5 13 5 06 4 57 4 5° 4 42 4 34 4 25 4 17 4 08 3 59 20 30 4 01 3 55 3 49 3 44 3 38 3 33 3 26 3 19 3 12 3 06 2 59 30 40 2 40 ?s 2 33 2 29 2 25 2 21 2 16 2 12 2 08 2 04 2 00 40 50 1 21 1 17 1 15 1 12 1 10 1 08 1 06 1 04 1 02 1 00 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 213 AZIMUTH OR TRUE BEARING. LATITUDE 52°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 52°. Hour Angle. 24° 25° 26° 27° 28° 39° 30° 31° 32° 33° 34° 35° Hour Angle. b. in. o / / / / / / c / / / / / / h. m. 00 iSo OO 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 io 175 °8 175 01 174 53 174 44 174 35 174 25 174 14 174 °i 173 49 173 34 173 17 173 01 10 20 170 19 170 04 169 48 169 31 169 13 168 54 168 32 168 09 167 43 167 15 166 44 165 10 20 30 165 34 165 13 164 50 164 24 163 57 163 29 162 58 162 23 161 47 161 07 160 23 159 33 30 40 50 160 55 160 27 159 57 159 24 158 51 158 14 157 34 156 51 156 04 155 13 154 17 153 17 40 156 24 155 49 155 14 154 35 153 54 153 11 152 24 151 33 15° 38 149 39 148 33 147 23 50 1 00 152 02 151 22 150 41 149 58 149 10 148 22 147 28 146 31 145 29 144 24 143 11 141 54 1 OO 10 147 49 147 04 146 19 145 31 144 39 143 46 142 48 141 46 140 40 139 2S 138 12 136 49 132 08 IO 20 143 45 142 59 142 09 141 18 140 22 139 25 138 23 137 18 136 08 134 54 133 33 20 30 139 52 139 °3 138 11 137 16 136 19 135 18 134 14 133 °6 131 53 13° 37 129 16 127 48 30 40 136 10 135 18 134 24 133 27 132 28 131 26 130 19 129 09 127 56 126 39 125 16 123 49 40 50 132 38 131 45 130 49 129 51 128 50 127 46 126 39 125 28 124 15 122 55 121 35 120 07 50 2 00 129 14 128 20 127 23 126 24 125 23 124 19 123 11 122 00 120 46 119 29 118 07 tii6 41 2 OO IO 126 00 125 06 124 08 123 09 122 06 121 03 "9 55 118 44 117 31 116 15 114 53 113 29 10 20 122 55 122 00 121 02 120 03 119 01 117 57 116 50 "5 39 114 28 113 12 III 52 no 29 20 30 "9 59 119 03 118 05 117 06. 116 03 115 °° "3 54 112 45 109 58 HI 33 no 19 109 01 107 40 30 40 117 09 116 13 115 16 114 17 113 1° 112 12 III 07 108 49 107 36 106 19 105 01 40 50 114 26 »3 31 112 34 HI 35 110 35 109 33 108 28 107 21 106 12 105 01 l°3 47 102 30 50 3 00 in 50 "0 55 109 58 109 00 108 00 106 59 i°5 56 104 50 i°3 43 102 34 101 21 100 07 3 00 10 109 18 108 24 107 28 106 31 105 32 104 33 103 30 102 25 101 19 100 12 99 °i 97 49 10 20 106 53 105 59 105 04 104 07 103 10 102 11 101 09 100 06 99 02 97 56 96 47 95 37 20 30 40 104 32 103 39 102 45 101 49 100 51 99 54 98 53 97 52 96 50 95 45 94 39 93 3° 30 102 15 101 23 100 30 99 35 98 39 97 42 96 43 95 43 94 4i 93 3» 92 34 91 27 40 50 100 02 99 11 98 18 97 25. 96 29 95 34 94 36 93 38 92 37 91 36 9° 33 89 28 50 4 OO 97 53 97 03 96 II 95 18 94 24 93 3° 92 33 91 36 9° 37 89 37 8836 87 33 4 00 10 95 47 94 57 94 06 93 14 92 21 91 27 90 32 89 36 88 40 87 41 86 41 85 4° 10 20 93 43 92 55 92 04 91 14 90 21 89 29 88 35 87 40 8645 8548 84 49 83 49 20 30 91 43 90 54 88 56 90 04 89 15 88 24 87 33 8639 85 45 84 52 8356 82 59 82 01 30 40 89 44 88 08 87 19 86 28 85 39 84 46 83 54 83 01 82 07 81 n 80 15 40 50 87 46 87 00 86 13 8s 24 84 36 83 46 82 56 82 03 81 12 80 19 79 2 5 78 3° 50 5 00 85 51 8505 84 18 83 3i 82 43 Si.55 81 05 80 15 79 24 78 32 77 4° 76 46 5 00 10 83' 57 83 11 82 26 81 40 80 52 80 06 79 16 78 28 77 38 76 47 75 55 75 °4 10 20 82 04 81 19 80 35 79 49 79 °3 78 16 77 29 76 41 75 53 75 °3 74 13 73 22 20 30 80 12 79 28 78 44 78 00 77 15 76 29 75 42 74 55 74 08 73 19 72 3° 71 41 30 40 78 21 77 38 76 54 76 11 75 27 74 42 73 56 73 1° 72 24 71 37 70 48 70 00 40 50 7° 31 75 49 75 °6 74 23 73 4° 72 56 72 12 7i 27 70 41 69 55 69 08 68 21 51) 6 00 74 40 73 59 73 17 72 35 7i 52 71 10 70 26 69 41 6858 68 12 67 26 66 41 6 OO 10 72 51 72 10 71 28 70 48 70 06 69 23 68 41 67 58 67 15 66 31 65 46 65' 01 10 30 71 01 70 21 69 40 69 00 68 19 67 39 66 57 66 15 65 32 64 49 64 °5 63 22 20 30 69 11 6832 °7 53 67 13 66 32 65 52 65 11 64 31 63 49 63 06 62 25 61 42 30 40 67 21 66 42 66 04 65 25 64 46 64 07 63 27 62 46 62 06 61 24 60 44 60 02 40 50 65 31 64 53 64 15 63 37 62 58 62 20 61 41 61 02 60 22 59 42 59 01 58 21 50 7 00 63 40 63 04 62 26 61 49 61 11 60 34 59 56 59*17 58 39 58 00 57 20 56 41 7 00 10 6l 49 61 12 60 36 60 00 59 23 5846 58 09 57 32 56 54 56 16 55 38 54 59 IO 20 59 57 59 22 58 45 58 11 57 35 56 59 56 22 55 46 55 °9 54 32 53 55 53 17 20 30 58 05 57 30 56 55 56 21 55.45 55 10 54 35 53 59 53 22 52 47 52 n 51 35 30 40 56 11 55 38 55 °3 54 3° 53 56 53 21 52 47 52 13 51 38 51 °3 5° 28 49 52 40 50 54 17 53 44 53 " 52 38 52 04 51 32 5° 57 5° 24 49 5° 49 16 48 43 48 09 50 8 OO 52 21 51 49 51 16 50 45 50 12 49 4i 49 °7 48 35 48 02 47 29 46 56 46 23 8 00 10 50 25 49 54 49 22 48 51 48 19 47 48 47 17 46 45 46 13 45 42 45 1° 44 38 IO 20 48 27 47 57 47 26 46 56 46 26 45 55 45 25 44 54 44 24 43 53 43 22 42 51 20 30 46 29 45 59 45 30 45 0° 44 30 44 01 43 31 43 °3 42 33 42 03 41 33 41 °3 30 40 44 28 43 59 43 31 43 03 42 35 42 06 41 37 41 °9 40 41 40 13 39 44 39 15 40 50 42 27 41 59 41 32 41 04 40 37 40 10 39 43 39 16 3848 38 21 37 53 37 25 50 » 00 40 23 39 57 39 3° 39 °5 %% 38 12 37 46 37 20 36 53 36 28 36 01 35 34 9 OO 10 38 19 37 54 37 28 37 °3 3638 36 13 35 49 35 23 34 59 34 34 34 °8 33 44 10 20 36 14 35 49 35 25 35 02 34 38 34 14 33 49 33 26 33 °3 32 39 32 15 31 51 . 20 30 34 06 33 43 33 20 32 57 32 35 32 12 31 5° 31 27 31 °5 3° 43 30 20 29 57 30 40 31 57 31 35 31 14 30 52 30 3J 30 11 29 48 29 27 29 07 28 45 28 23 28 03 40 50 29 47 29 27 29 06 28 46 28 26 28 07 27 47 27 26 27 07 26 47 26 27 26 07 50 10 00 27 36 27 17 2658 26 40 26 21 26 02 25 44 25 25 25 07 24 48 24 3° 24 12 10 00 10 25 23 25 05 24 48 24 31 24 13 23 56 23 38 23 21 23 04 22 47 22 31 22 13 10 20 23 10 22 53 22 37 22 22 22 06 21 50 21 33 21 18 21 02 20 46 20 31 20 15 20 30 20 55 20 40 20 25 20 11 19 56 19 42 19 28 19 13 18 59 18 45 18 30 18 16 30 40 18 38 18 25 18 11 17 59 17 45 17 33 17 20 17.07 16 55 16 42 16 29 16 16 40 50 16 20 16 09 15 57 15 46 15 35 15 24 15 12 15 °I 14 5° 14 38 14 27 14 16 50 11 00 14 02 13 52 13 42 13 32 13 23 13 13 13 03 12 53 12 44 12 34 12 25 12 15 11 OO IO 11 43 11 34 11 26 11 19 II 10 11 02 1° 53 10 46 10 38 10 29 10 22 10 14 10 20 9 2 3 9 17 9 10 9 °3 8 57 f 59 8 44 8 37 8 3° 8 24 8 17 8 11 20 30 7 °3 658 6 53 6 48 6 43 6 38 6 33 6 28 6 24 6 18 613 6 09 30 40 4 42 4 39 4 35 4 32 4 29 4 25 4 22 4 19 4 16 4 13 4 °9 4 06 40 50 2 21 2 19 2 18 2 16 2 14 2 13 2 II 2 09 2 08 2 07 2 05 2 03 50 12 OO 60 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 214 AZIMUTH OR TRUE BEARING. LATITUDE 52°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 52°. Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 440 45° 46° 47° Hour Angle. h. in. o / / / / / / 1 / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 172 41 172 19 171 54 171 24 170 51 170 n 169 24 168 26 167 15 165 44 163 45 161 03 IO 20 165 32 164 49 164 00 163 04 162 00 160 47 159 18 157 33 155 25 152 46 149 26 145 °5 20 30 158 39 157 39 156 31 155 13 153 45 146 12 152 04 150 06 147 48 145 °3 Hi 45 137 4° 132 51 30 40 152 09 150 55 149 31 147 57 144 12 141 55 139 18 136 16 132 44 128 34 123 42 40 50 146 05 144 40 143 °° 141 21 139 25 137 15 134 48 132 03 128 55 125 22 121 20 116 45 50 1 00 140 29 138 57 137 17 135 25 133 23 131 08 128 38 125 52 122 47 119 21 "5 32 III 19 1 OO 10 135 20 133 43 131 59 130 05 128 00 125 44 123 15 120 32 "7 35 114 19 no 46 106 54 10 20 130 36 128 58 127 n 125 16 123 12 120 59 118 33 l»5 56 113 07 no 03 106 46 103 12 20 30 126 15 124 37 122 50 120 57 118 55 116 45 114 24 in 54 109 14 106 22 103 18 100 03 30 40 122 16 120 37 118 53 117 01 115 03 112 57 no 42 108 20 105 48 103 07 100 16 97 16 40 50 118 36 116 59 "5 17 113 28 I" 33 109 32 107 24 105 08 102 45 100 14 97 35 94 48 50 2 00 115 11 113 36 I" 57 no 12 108 21 106 24 104 22 102 14 99 58 97 3° 95 °8 92 32 2 ' 00 10 112 01 no 29 108 51 107 10 105 24 103 32 l°l 35 99 33 97 26 95 12 92 53 90 29 10 20 109 04 107 34 106 01 104 22 102 40 100 54 99 02 97 °° 95 °5 92 58 90 48 88 32 20 30 106 17 104 50 103 19 101 45 100 06 98 24 96 38 94 48 92 52 ' 2° 54 88 55 8851 8643 30 40 103 40 102 16 100 48 99 17 97 42 96 05 94 23 92 3S 9049 86 59 8458 40 50 101 12 99 49 98 25 96 57 95 26 93 53 92 16 9° 35 88 51 87 04 85 13 83 19 50 3 00 98 50 97 31 96 10 94 45 93 17 91 47 89 47 90 14 88 38 86 59 85 16 83 31 81 43 3 00 10 9° 35 95 «* 93 59 92 37 91 14 88 18 86 46 85 11 83 33 81 53 80 10 10 20 94 25 93 " 91 54 90 36 89 15 87 52 86 25 84 57 83 27 81 54 80 17 78 39 20 30 92 20 91 09 ! 9 =§ 87 58 88 38 87 20 86 00 8438 83 13 81 45 80 16 78 44 77 11 30 40 90 19 89 10 8645 8529 84 12 8253 81 3' 80 07 7842 77 14 75 44 40 50 88 22 87 15 8605 84 54 8341 82 27 81 11 79 52 78 32 77 09 75 45 74 19 50 4 00 86 29 85 23 84 16 83 08 81 56 80 45 79 32 78 15 76 57 75 39 74 18 72 55 4 OO io 84 37 83 34 82 28 81 22 80 13 79 04 77 52 76 40 75 25 74 °9 72 51 71 32 10 20 82 49 81 47 80 43 79 39 7832 77 26 76 17 75 °6 73 54 72 41 7i 25 70 09 20 30 81 02 80 02 79 "I 77 57 7° 53 75 48 74 42 73 34 72 24 71 14 '70 01 68 47 30 40 79 18 78 19 77 20 76 18 75 16 74 13 73 09 72 03 7° 55 69 47 6837 67 26 40 50 77 34 76 37 75 39 74 40 73 40 72 38 71 35 70 32 69 27 68 21 67 14 66 04 50 5 00 75 Si 74 56 73 59 73 02 72 04 71 04 70 03 69 02 6758 66 55 65 49 °4 43 5 00 10 74 10 73 17 72 22 71 26 70 28 69 32 68 32 °7 33 66 31 °5 3° 64 26 63 22 10 20 72 3° 71 37 70 44 69 51 6854 67 59 67 02 66 04 65 04 64 04 63 03 62 01 20 30 70 50 69 59 69 07 68 15 67 21 66 26 °5 30 °4 35 °3 37 62 39 61 40 60 40 30 40 69 11 68 22 67 31 66 40 65 47 64 54 64 00 63 06 62 10 61 13 60 17 59 18 40 50 67 33 66 44 65 55 65 05 64 14 63 23 62 30 61 38 60 43 59 49 58 53 57 57 50 6 00 65 54 65 06 64 19 63 30 62 40 61 51 61 00 60 08 59 1° 58 23 57 29 5° 35 6 00 10 64 15 63 29 62 43 61 55 61 07 60 19 59 29 58 4° 57 48 5656 56 04 55 12 10 20 62 37 61 5 2 61 07 60 21 59 34 58 46 s l s ° 57 10 56 21 55 30 54 4° 53 49 20 30 60 59 60 15 59 31 58 46 58 00 57 14 56 28 55 41 54 52 54 °4 53 15 52 25 30 40 59 '9 58 37 57 54 57 10 56 26 55 41 54 56 54 11 53 24 52 37 51 49 51 02 40 50 57 4i 56 59 56 IS 55 35 54 5i 54 °9 53 24 52 40 51 55 51 °9 5° 23 49 3° 50 7 00 56 01 55 21 54 4° 53 59 53 16 52 35 51 52 51 10 50 25 49 4° 48 5° 48 II 7 00 10 54 21 53 42 53 01 52 21 51 41 51 00 5° 19 49 37 48 54 48 12 47 29 46 45 10 20 52 40 52 01 51 23 50 44 50 05 49 25 48 45 48 05 47 23 4° 43 46 01 45 19 20 30 5° 59 50 21 49 44 49 °7 48 28 47 5° 47 " 46 32 45 52 45 12 44 32 43 51 30 40 49 17 48 40 48 04 47 27 46 51 46 14 45 3° 44 59 44 20 43 42 43 03 42 23 40 50 47 34 46 59 46 24 45 49 45 13 44 37 44 °i 43 25 42 47 42 10 4i 32 4° 54 50 8 OO 45 49 45 1° 44 42 44 08 43 33 42 59 42 24 41 49 4i 13 4° 37 40 00 39 24 8 00 10 44 06 43 33 43 00 42 28 41 54 41 20 40 47 4° 13 39 38 39 °4 ?8 29 37 54 10 20 42 20 41 49 41 18 4° 45 40 13 39 41 39 °8 38 37 3803 37 3° 36 57 36 23 20 30 40 34 40 03 39 33 39 °3 38 32 38 01 37 29 3° 59 36 27 35 55 35 23 34 51 30 40 3846 38 18 37 49 37 19 36 49 36 20 35 5° 35 20 34 49 34 19 33 48 33 18 40 50 36 58 36 30 36 03 35 35 35 06 34 37 34 1° 33 41 33 12 32 42 32 14 31 44 50 9 00 35 09 34 42 34 16 33 49 33 22 32 55 32 28 32 00 31 32 31 °5 3° 37 30 09 9 00 10 33 18 32 53 32 28 32 03 31 36 31 II 30 46 30 19 29 53 29 27 29 01 2834 10 20 31 28 31 04 3° 39 30 15 29 51 29 26 29 02 28 38 28 12 27 48 27 23 2658 20 30 29 34 29 12 28 50 28 27 28 03 27 41 27 18 2° 55 26 32 26 07 25 44 25 20 30 40 27 41 27 20 26 59 25 08 26 38 26 16 25 55 25 33 25 12 24 49 24 27 24 05 23 43 40 50 25 48 25 27 2448 24 28 24 07 23 47 23 27 23 °7 22 46 22 25 22 05 50 10 00 23 52 23 34 23 16 22 57 22 39 22 19 22 01 21 42 21 23 21 04 20 45 20 26 10 00 10 21 57 21 39 21 22 21 05 20 48 20 31 20 14 19 57 19 39 19 21 19 03 18 45 IO 20 19 59 19 44 19 28 19 13 18 57 18 41 18 25 18 10 17 54 17 38 17 22 17 06 20 30 18 02 17 48 17 34 17 19 17 06 16 51 1° 37 16 22 16 08 15 54 15 4° 15 25 30 40 16 04 15 51 15 38 15 26 15 13 15 °i 14 47 14 35 14 22 14 °9 13 56 13 44 40 50 14 05 13 54 13 43 13 32 13 21 13 10 12 58 12 47 12 35 12 24 12 13 12 02 50 11 00 12 06 II 56 n 46 11 37 II 27 n 17 11 08 10 59 10 48 10 39 10 29 10 19 11 OO 10 10 05 9S l 9 49 9 42 9 34 9 26 9 17 9 °9 9 01 8 53 8 45 8 3° 10 20 8 05 7 58 7 52 7 4° 7 39 7 33 7 26 7 20 7' 13 7 °7 7 00 6 54 20 30 6 04 5 59 5 54 5 49 5 44 5 39 5 35 5 3° 5 25 5 20 5 15 5 1° 30 40 4 °3 3 59 3 56 3 53 3 50 3 47 3 43 3 4° 3 37 3 34 3 3° 3 27 40 50 2 02 2 00 1 58 I 56 1 55 I 53 I 52 1 50 I 49 1 47 1 45 1 44 50 12 00 00 0.00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 215 AZIMUTH OR TRUE BEARING. LATITUDE 52°, DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 52°. Hour Angle. 48° 49° iO° 53° 54° 55° 56° 57° 58° 59° Hour Angle. It. O 11 in. 00 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30' 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 180 oo 157 °8 139 i° 126 45 "7 59 in 34 106 39 102 42 99 25 96 36 94 °7 9: 54 89 50 87 57 86 11 84 30 82 53 81 21 79 51 7° 23 7° 58 ■75 34 74 12 72 5° 71 30 70 10 68 5° 67 32 66 12 64 54 63 35 62 16 60 57 59 38 5« 18 56 59 55 39 54 16 52 58 51 35 5° 11 48 49 47 25 46 00 44 35 43 10 41 43 40 15 38 47 37 17 35 4» 34 17 32 46 31 13 29 4° 28 07 26 32 24 57 23 20 21 43 20 06 IS 28 16 5° 15 10 13 3" 11 5° 10 TO 8 28 6 47 5 °5 3 24 1 42 00 180 00 151 06 I3I 22 119 13 III 19 105 46 101 34 98 12 95 23 92 57 90 48 88 51 87 03 85 21 83 45 82 14 80 45 79 20 77 5° 7° 35 75 15 73 5° 72 38 71 20 70 04 68 47 67 31 66 14 64 59 63 43 62 26 61 09 59 53 58 35 57 18 56 01 54 41 53 22 52 04 50 43 49 23 4« 00 46 38 45 16 43 52 42 28 41 02 39 37 38 10 36 42 35 ■4 33 45 32 14 3° 43 29 12 ,27 39 26 06 24 33 22 58 21 22 19 47 18 10 16 33 14 55 13 17 11 39 10 00 8 21 6 40 5 00 3 20 1 40 00 140 50 120 28 110 01 103 42 99 21 96 03 93 24 91 08 89 09 87 21 85 42 84 08 82 40 81 16 79 53 78 33 77 16 75 59 74 43 73 28 72 15 71 01 69 48 68 35 67 22 66 09 64 56 63 43 62 29 61 15 60 01 58 47 57 32 56 16 55 °l 53 43 52 27 51 09 49 51 4831 47 " 45 51 44 3° 43 °8 4i 45 40 21 38 57 37 31 3° °5 34 39 33 11 31 43 30 13 2843 27 12 25 41 24 08 22 35 21 01 19 27 17 51 16 16 14 40 13 "4 II 27 9 5° 8 n 6 33 4 55 3 17 I 38 00 180 00 121 44 i°5 51 99 °9 95 11 92 24 90 12 85 20 86 44 85 II 83 46 82 27 81 09 79 54 78 41 77 29 76 18 75 °9 73 59 72 49 71 40 70 32 69 23 68 14 67 04 °5 55 64 46 °3 3° 62 26 61 15 60 04 58 52 57 4° 56 27 55 14 54 °° 52 45 51 3° 5° 14 4858 47 41 46 23 45 °3 43 43 42 23 41 02 39 4° 38 17. 36 53 35 28 34 °3 32 37 31 II 29 42 28 14 26 44 25 15 23 43 22 12 20 40 19 °7 17 34 16 00 14 26 12 51 II 15 9 39 8 03 6 27 4 5° 3 14 1 37 00 89 01 88 02 87 03 86 03 85 04 84 05 83 05 82 05 81 06 80 05 79 °5 7805 77 °4 76 03 75 01 74 °° 7258 7i 56 7° 53 69 49 68 46 67 42 66 37 65 32 64 27 63 21 62 14 61 07 59 59 58 5° 57 4i 56 32 55 21 54 10 52 58 51 4° 5° 32 49 19 48 04 46 48 45 32 44 15 42 56 41 37 40 18 3858 37 36 36 14 34 51 33 27 32 03 3° 37 29 II 27 44 26 16 24 48 23 18 21 48 20 18 1847 17 15 15 43 14 10 12 37 II 03 9 29 7 55 6 20 4 45 3 I0 I 35 o 00 00 55 42 69 50 74 4i 76 43 77 35 77 49 77 43 77 23 7° 55 76 19 75 4° 74 56 74 1° 73 21 72 31 7i 38 70 44 69 49 68 53 67 56 66 58 6558 64 59 63 58 62 56 61 54 60 50 59 47 5842 57 3° 5° 3° 55 22 54 14 53 05 51 55 5° 45 49 34 48 22 47 09 45 55 44 40 43 25 42 08 4° 51 39 33 38 15 3° 55 o 00 35 58 54 24 63 08 67 40 70 10 7i 35 72 19 72 39 72 4° 72 3° 72 II 71 44 71 13 7° 37 °9 57 69 14 68 29 67 42 66 52 66 00 6508 64 14 63 18 62 22 61 24 60 26 59 26 58 25 57 23 56 20 55 16 54 11 53 °5 51 59 5° 52 49 43 48 34 47 24 4° 13 45 01 43 48 42 34 41 20 40 04 3848 37 31 36 13 35 34 34 54 34 13 33 34 32 51 32 14 31 28 30 53 30 04 29 3° 28 39 28 07 27 14 26 44 25 48 25 19 24 21 23 54 22 53 22 28 21 24 21 01 19 5° 19 34 18 27 18 06 1656 16 38 15 26 15 09 13 55 13 39 12 23 12 09 10 51 10 39 9 18 9 09 7 47 7 38 6 14 6 06 4 4° 4 34 3 °7 3 "4 I 34 1 32 00 00 o 00 25 23 42 46 53 °6 59 17 °3 05 65 29 67 00 °7 55 68 27 68 39 68 40 68 30 68 14 67 49 67 21 66 47 66 11 °5 31 64 48 64 04 63 16 62 27 61 37 60 44 59 50 5856 57 59 57 °i 56 03 55 °3 54 °2 53 °° 51 56 50 52 49 47 48 41 47 33 46 25 45 16 44 06 42 56 41 44 40 31 39 '7 33 03 36 47 35 3i 34 14 32 55 31 36 3° 17 2856 27 34 26 12 24 50 23 26 22 02 20 37 19 12 17 45 16 19 14 51 13 24 11 55 10 27 5 58 7 28 6 00 4 3° 3 °° 1 3" o 00 00 19 10 34 19 44 48 51 47 56 28 59 38 61 48 63 16 64 14 64-50 65 10 65 15 65 12 65 01 64 43 64 19 °3 5° 63 18 62 42 62 04 61 22 60 39 59 52 59 05 58 15 57 24 5° 3° 55 36 54 4° 53 44 52 45 51 46 50 45 49 44 48 40 47 3° 46 31 45 25 44 18 43 1° 42 01 4° 5i 39 4o 38 28 37 1° 36 02 34 47 33 31 32 15 3058 29 41 28 21 27 01 25 41 24 20 22 58 21 36 20 12 18 49 17 24 15 59 14 34 13 °7 II 41 10 15 8 47 7 20 5 52 4 24 2 56 I 28 28 08 3803 45 1° 50 '27 54 11 56 5° 58 45 60 07 61 03 61 39 62 02 62 T I 62 12 62 03 6l 49 6l 29 6l 04 60 35 60 03 59 26 5848 5807 57 23 5638 55 51 55 01 54 1° 53 17 52 24 51 28 5° 31 49 33 48 34 47 34 46 31 45 29 44 25 43 20 42 13 '41 08 39 5$ 38 50 37 39 36 29 35 17 34 °4 32 50 31 35 30 20 29 04 27 47 26 28 25 10 23 51 22 30 21 09 19 48 18 25 17 °3 15 40 14 16 12 52 II 27 10 02 8 37 7 11 5 45 4 19 2 53 I 26 00 12 25 23 31 32 3° 39 42 45 04 49 06 52 08 54 24 56 06 57 20 58 12 58 48 59 10 59 22 59 23 59 18 59 °6 58 49 58 26 58 00 57 29 5° 55 56 19 55 4° 54 59 54 15 53 29 52 43 51 52 51 02 50 09 49 16 48 20 47 23 46 25 45 25 44 25 43 23 42 20 41 16 40 II 39 06 37 57 36 5° 35 4i 34 3° 33 20 32 07 30 54 29 41 28 26 27 11 25 55 24 37 23 20 22 02 20 43 19 22 18 03 16 42 15 20 13 57 12 36 11 13 9 5° 8 26 7 02 5 38 4 13 2 49 I 24 00 o 00 10 25 19 59 28 12 34 5° 40 17 44 29 47 45 50 17 52 13 53 42 54 48 55 3° 56 10 56 31 5° 44 56 46 56 42 5° 32 56 16 55 5° 55 31 55 °2 54 31 53 5° 53 19 52 39 51 57 51 13 50 27 49 39 48 49 47 58 47 06 46 10 45 15 44 18 43 20 42 20 41 20 40 18 39 14 38 10 37 °5 35 59 34 52 33 43 32 34 31 24 3° 13 29 01 27 48 26 34 25 20 1. 24 °5 22 49 21 32 20 15 18 57 17 39 16 19 14 59 13 4° 12 19 10 58 9 37 8 15 6 52 5 31 4 08 2 46 I 23 00 It. o 11 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 50 OO lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 SO 00 lO 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned fron North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 216 AZIMUTH OR TRUE BEARING. LATITUDE 52°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 52°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. in. o / r / / / / / / / r / h. 111. o 00 oo 00 00 00 00 00 00 00 00 00 00 00 10 &53 7 4i 6 43 5 54 5 15 4 41 4 11 3 46 3 23 3 °3 2 46 10 20 17 12 15 0° 13 10 11 38 10 21 9 15 8 17 7 28 6 44 6 05 5 29 20 30 24 36 21 37 19 07 16 59 15 " 13 37 12 15 11 02 9 58 9 01 8 10 30 40 30 53 27 26 24 27 21 54 19 39 17 41 15 58 14 26 13 05 II 51 I0 45 40 SO 36 °5 32 23 29 °7 26 15 23 43 21 27 19 26 17 38 16 01 14 33 13.13 50 1 00 40 17 36 31 33 08 30 03 27 19 24 50 22 36 20 35 18 45 17 04 15 33 1 OO 10 43 42 39 57 36 30 33 21 30 29 27 51 25 28 23 17 21 16 19 26 17 44 10 20 46 23 42 45 39 19 36 10 33 15 30 32 28 01 '25 43 23 35 21 37 19 47 20 30 48 32 45 °° 41 40 38 33 35 37 32 52 30 18 27 55 25 41 23 3° 21 40 30 40 50 11 46 50 43 37 4° 33 37 39 34 54 32 18 29 52 27 34 25 25 23124 40 50 51 29 48 17 45 n 42 11 39 21 3° 36 34 02 31 35 29 14 27 02 24 58 50 2 00 52 29 49 2 ° 46 26 43 34 40 47 38 06 3 5 3 J 33 °4 3° 44 28 29 26 22 2 00 10 53 13 •50 18 47 27 44 4° 41 58 39 19 3648 34 22 32 01 29 4° 27 38 IO 20 53 44 5058 48 13 45 33 42 55 40 22 37 52 35 29 33 °9 3° 54 28 44 20 30 54 04 51 26 48 49 46 14 43 42 41 12 38 47 36 25 34 °7 31 53 29 43 30 40 54 15 51 44 49 14 46 45 44 18 41 53 39 31 37 '3 34 57 32 43 3° 35 40 50 54 18 51 54 49 30 47 °7 44 45 42 25 40 07 37 51 35 37 33 26 31 19 50 3 00 54' 15 51 58 49 4° 47 22 45 °5 42 49 4° 35 38 22 36 n 34 02 31 5° 3 OO 10 54 05 51 54 49 41 47 29 45 17 43 06 40 56 38 46 3638 34 32 32 28 10 20 53 5° 51 45 49 38 47 30 45 23 43 1° 41 10 39 °4 3° 59 34 55 32 53 20 30 53 31 51 30 49 28 47 26 45 2 3 43 21 41 18 39 1° 37 14 35 12 33 12 30 40 53 08 51 12 49 15 47 '7 45 19 43 19 41 21 39 23 37 23 35 25 33 28 40 50 52 40 5° 5° 48 57 47 03 45 10 43 14 41 19 39 24 37 28 35 33 33 38 50 4 00 52 II 50 24 48 35 46 46 44 55 43 05 41 13 39 21 37 28 35 36 33 43 4 OO io 51 37 49 54 48 10 46 24 44 38 42 5° 41 02 39 '4 37 25 35 35 33 45 10 20 51 01 49 22 47 41 45 59 44 17 42 33 40 48 39 °3 37 17 35 29 33 43 20 30 50 23 48 47 47 10 45 32 43 53 42 12 40 31 38 49 37 °5 35 21 33 37 30 40 49 42 48 10 46 36 45 01 43 26 41 48 40 11 38 31 3° 5° 35 1° 33 28 40 50 49 00 47 31 46 00 44 28 42 55 41 21 39 47 38 1° 3° 33 34 54 33 15 50 5 00 48 14 46 48 45 21 43 53 42 23 4° 52 39 20 37 47 36 12 34 3° 33 °° 5 00 10 47 28 46 05 44 40 43 15 41 49 40 20 38 5° 37 20 35 48 34 16 32 42 IO 20 46 39 45 19 43 58 42 35 41 11 39 4° 38 19 36 52 35 23 33 52 32 21 20 30 45 49 44 32 43 13 41 53 40 32 39 °9 37 46 36 20 '34 54 33 26 31 58 30 40 44 57 43 43 42 27 41 09 39 51 38 31 37 °9 35 48 34 24 32 59 31 32 40 oO 44 05 42 52 41 39 40 24 39 °8 37 51 36 32 35 13 33 51 32 29 31 06 50 6 00 43 °9 42 00 40 48 39 37 38 24 37 °8 35 52 34 35 33 17 31 5° 3° 35 '6 00 10 42 13 41 06 39 57 38 48 37 37 36 24 35 1° 33 5° 32 40 31 22 30 04 10 20 41 17 40 12 39 °4 37 58 36 49 35 39 34 28 33 15 32 02 3° 47 29 31 20 30 40 17 39 15 38 11 37 06 35 59 34 51 33 43 32 33 31 22 30 09 28 55 30 40 39 17 38 18 37 15 36 12 35 °8 34 °3 32 57 31 49 30 40 29 3° 28 18 40 50 38 17 37 19 3° 19 35 18 34 16 33 13 32 °9 31 °4 29 57 28 49 27 4° 50 7 00 37 15 36 19 35 21 34 22 33 23 32 22 31 19 3° 17 29 13 28 07 27 01 7 OO 10 36 II 35 17 34 21 33 25 32 27 31 28 30 29 29 28 28 27 27 23 26 18 10 20 35 06 34 15 33 21 32 27 31 31 30 3° 29 38 28 40 27 39 26 38 25 3° 20 30 34 02 33 12 32 20 31 28 30 35 29 40 28 43 28 45 27 49 26 51 25 52 24 52 30 40 32 55 32 08 31 18 30 28 29 3° 27 51 26 57 26 01 25 °4 24 07 40 50 31 48 31 02 3° 14 29 26 28 36 27 47 2656 26 04 25 11 24 16 23 20 SO 8 00 30 40 29 55 29 °9 28 23 27 36 26 48 25 59 25 °9 24 18 23 26 22 33 8 00 10 29 31 28 48 28 04 27 21 26 35 25 48 25 02 24 14 23 25 22 35 21 45 10 20 28 21 27 40 26 58 26 16 25 32 24 49 24 04 23 18 22 31 21 43 20 55 20 30 27 10 26 31 25 51 25 10 24 3° 23 47 23 °5 22 21 21 36 20 51 20 05 30 40 25 58 25 21 24 43 24 °4 23 25 22 45 22 04 21 23 20 40 19 57 19 13 40 50 24 45 24 10 23 34 22 58 22 20 22 42 21 03 20 24 19 44 19 02 18 20 50 9 00 23 33 22 59 22 24 21 49 21 14 20 38 20 01 19 24 18 46 18 07 17 27 9 OO 10 22 17 21 46 21 14 20 41 20 08 19 34 19 00 18 23 1748 17 10 16 33 IO 20 21 03 20 33 20 02 19 32 19 01 18 28 17 5° 17 23. 16 49 16 14 15 39 20 30 19 48 19 19 18 5° 18 22 17 53 17 23 16 51 16 21 15 49 15 17 14 44 30 40 18 31 18 05 17 39 17 11 16 43 16 16 15 47 15 19 14 49 14 19 13 48 40 50 17 14 16 51 16 26 16 00 15 35 15 °9 14 42 14 16 13 48 13 20 12 50 50 10 OO 15 57 15 35 15 12 14 49 14 25 14 01 13 36 13 11 12 46 12 20 11 54 10 00 10 14 39 14 18 13 57 13 37 13 15 12 53 12 30 12 08 11 44 11 20 10 5b IO 20 13 21 13 °3 12 43 12 24 12 04 11 44 11 24 II 03 10 42 10 20 9 58 20 30 12 03 11 46 11 28 II II 1° 53 10 35 10 16 9 58 9 39 9 19 9 00 30 40 10 43 10 28 10 13 9 58 9 42 8 30 9 25 9 08 852 8 35 8 18 8 01 40 50 9 24 9 11 8 57 844 8 15 8 01 7 47 7 32 7 16 7 01 50 11 00 8 03 7 53 7 4i 7 29 7 18 7 °5 6 53 6 41 6 28 6 14 6 01 11 00 10 6 43 ° 34 625 6 15 6 05 5 55 5 45 5 34 5 23 5 13 5 ° 2 IO 20 5 24 5 15 5 08 5 0° 4 53 4 44 4 3° 4 28 4 19 4 11 4 02 20 30 4 °3 3 57 3 51 3 45 3 39 3 33 3 28 3 21 3 14 3 °8 3 °l 30 40 2 4< 238 2 34 2 30 2 26 2 22 2 19 2 14 2 09 2 05 2 01 40 50 I 21 1 19 1 17 1 16 1 13 1 11 1 09 I 07 1 °5 1 03 1 01 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In Jiorth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 217 AZIMUTH OR TRUE BEARING. LATITUDE 53°. DECI4NATI0N- -SAME NAME AS— LATITUDE. LATITUDE 53°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. h. in. o / / / f 1 / .0 / / t / / / Ii. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 lO 175 18 175 10 175 03 174 56 174 47 174 38 174 28 174 18 174 06 '73 53 173 39 173 23 10 20 17038 170 24 170 09 169 54 169 37 169 19 169 00 168 39 168 16 167 5 1 167 23 166 53 20 30 166 00 165 41 165 20 164 56 164 32 164 06 163 38 163 07 162 34 161 58 161 19 160 36 30 40 50 161 29 161 03 160 35 160 06 159 35 159 02 158 25 157 46 157 03 156 18 155 28 154 34 40 157 °4- 156 33 156 00 155 25 154 47 154 07 '53 24 152 37 151 48 150 53 149 56 148 52 50 1 00 lO 152 48 152 12 151 34 150 53 150 11 149 25 148 36 147 43 146 48 145 48 144 42 143 31 1 00 148 40 148 00 147 17 146 32 145 45 144 54 144 01 143 °4 142 03 140 58 139 47 138 31 10 , 20 144 41 143 58 143 11 142 23 141 32 140 38 '39 41 138 4° 137 36 136 26 135 12 133 54 20 30 140 46 140 04 139 15 138 24 137 31 136 34 135 34 134 31 133 23 132 13 130 56 129 35 30 40 137 10 136 22 135 31 134 38 133 42 132 43 131 41 13° 35 129 27 128 14 126- 57 125 34 40 50 133 40 132 49 131 56 131 02 130 04 129 04 128 01 126 55 125 44 124 32 123 14 121 51 SO i 00! 130 16 129 25 128 31 127 35 126 38 125 36 124 33 123 25 122 15 121 02 119 44 118 23 115 08 2 00 10 127 03 126 n 125 16 124 20 123 21 122 19 121 15 120 09 118 59 "7 45 116 28 10 20, 123 57 123 05 122 10 121 13 120 14 119 13 118 08 117 01 115 53 114 40 113 25 112 05 20 30 120 59 120 06 119 12 118 15 117 16 116 15 115 10 114 04 112 56 in 44 no 30 109 12 30 40 1 18 09 "7 15 116 20 115 24 114 26 113 24 112 21 in 16 no 09 108 58 i°7 45 106 29 40 50 "5 25 114 32 "3 37 112 40 in 42 no 42 109 40 i°8 35 107 29 106 21 105 09 103 55 50 3 00 112 46 m 54 no 59 no 03 109 06 108 07 107 05 106 02 104 57 103 50 102 40 101 27 3 OO 10 no 13 109 21 108 27 107 32 106 35 105 37 104 36 103 34 102 30 101 24 100 16 99 06 lO 20 107 46 106 54 106 01 T05 06 104 10 103 12 102 13 101 12 100 09 99 °5 97 58 96 50 20 30 105 23 104 32 l°3 39 102 45 101 50 I0 S s i 99 56 98 55 97 54 96 52 95 46 94 39 30 40 103 05 102 13 101 22 100 27 99 34 9838 97 41 9° 43 95 43 94 42 93 39 92 33 40 50 100 49 99 59 99 07 98 15 97 22 96 28 95 32 94 35 93 3° 92 36 91 33 90 31 50 4 00 98 38 97 48 96 59 96 07 95 15 94 21 93 25 92 30 91 33 9° 35 89 34 88 32 -1 OO 10 96 29 95 4i 94 5 1 94 00 93 °9 92 16 91 22 90 28 89 32 8834 8736 8636 lO 20 94 23 93 3° 92 46 91 57 91 06 9° 15 89 23 88 28 87 34 86 39 85 41 84 43 20 30 92 20 91 33 9° 45 89 55 89 06 88 16 87 24 86 32 85 38 84 44 8348 82 51 30 40 90 20 89 32 88 45 87 57 87 09 86 20 85 29 84 37 83 4° 82 52 81 57 81 02 40 50 88 21 87 34 86 48 86 01 85 13 8425 83 35 82 45 81 54 81 02 80 08 79 14 50 5 00 86 22 85 37 84 52 84 05 83 19 82 31 81 43 80 53 80 03 79 13 78 21 77 28 5 00 lO 84 26 83 42 82 57 82 12 81 26 80 40 79 52 79 03 78 15 77 25 76 34 75 43 10 20 82 31 81 48 81 04 80 19 79 34 7849 78 02 77 15 76 27 75 39 74 49 73 59 20 30 80 38 79 55 79 11 78 28 77 44 7658 76 13 75 27 74 4° 73 53 73 05 72 15 30 40 78 44 78 02 77 19 76 36 75 53 75 °9 74 25 73 39 72 54 72 08 71 21 7o 33 40 50 76 52 76 II 75 29 74 47 74 05 73 21 72 37 71 53 71 09 70 24 69 37 68 51 50 6 00 75 01 74 20 73 38 72 57 72 15 7i 33 70 50 70 07 69 23 68 40 67 54 67 09 6 00 lO 73 09 72 29 71 48 71 07 70 26 69 45 69 04 68 21 67 39 6°55 66 11 65 26 10 20 71 18 70 37 69 59 69 19 6839 6758 67 18 66 35 65 54 65 12 64 29 63 46 20 30 69 25 6847 68 09 67 30 66 50 66 n 65 3° 64 49 64 09 63 28 62 46 62 04 30 40 67 34 6656 66 19 °5 39 65 02 64 23 °3 43 63 °4 62 24 61 44 61 03 60 22 40 50 65 42 65 05 64 28 63 51 °3 13 62 35 61 57 61 18 60 39 60 00 59 20 58 4° 50 7 00 63 50 63 14 62 37 62 01 61 24 60 47 60 10 59 32 58 54 58 16 57 37 56 57 7 00 lO 61 57 61 21 60 45 60 10 59 34 5858 58 22 57 45 57. °8 56 31 55 53 55 14 10 20 60 04 59 29 58 55 58 19 57 44 57 t>9 56 34 55 57 55 21 54 45 54 °9 53 31 20 30 58 10 57 3° 57 02 56 28 55 54 55 20 54 45 54 1° 53 35 53 00 52 24 51 48 30 40 56 15 55 42 55 09 54 3° 54 °3 53 29 52 56 52 21 51 47 51 13 50 38 5° °3 40 50 54 20 53 48 53 15 52 43 52 II 51 38 51 °5 5° 32 49 59 49 26 48 53 48 18 50 8 00 52 23 51 5i 51 20 50 48 50 17 49 45 49 13 48 42 48 09 47 37 47 °5 46 32 8 OO 10 50 25 49 56 49 24 48 54 48 24 47 53 47 22 4° 51 46 20 45 48 45 17 44 45 10 20 48 27 47 57 47 28 4658 46 29 45 59 45 28 44 59 44 29 43 59 43 28 42 57 20 30 46 27 45 59 45 30 45 01 44 32 44 °4 43 35 43 06 42 37 42 .08 41 39 41 09 30 40 44 26 43 59 43 31 43 03 42 36 42 08 41 40 41 12 4° 45 40 16 39 48 39 20 40 50 42 24 41 57 41 31 41 04 40 37 40 11 39 44 39 18 38 51 38 24 37 57 37 3° 50 9 OO 40 20 39 55 39 29 39 °3 %% 38 13 37 47 37 21 3656 36 3° 36 04 35 39 » OO 10 38 16 37 51 37 27 37 02 3638 36 13 35 49 35 24 35 °° 34 36 34 11 33 46 10 20 36 JO 35 4° 35 23 34 59 34 35 34 13 33 5° 33 26 33 °3 32 40 32 17 31 54 20 30 34 02 33 4° 33 18 32 56 32 33 32 12 31 49 31 27 31 06 30 44 30 21 29 59 30 40 31 53 31 31 31 II 30 49 30 30 30 09 29 48 29 27 29 06 28 46 28 25 28 04 40 50 29 43 29 23 29 03 28 43 28 25 28 04 27 45 27 26 27 06 26 48 26 28 26 08 50 10 OO 27 31 27 13 26 55 26 36 26 19 26 00 25 42 25 24 25 05 24 47 24 29 24 11 10 00 10 25 19 25 01 24 44 24 28 24 11 23 54 23 3° 23 21 23 04 22 48 22 30 22 14 10 20 23 05 22 49 22 33 22 17 22 03 21 48 21 32 21 16 21 01 20 46 20 30 20 16 20 SO 20 49 20 36 20 22 20 08 19 53 19 39 19 26 19 II 18 58 18 44 18 30 18 16 30 40 18 34 18 20 18 08 17 56 17 43 17 31 17 18 17 06 16 54 16 41 16 29 16 15 40 50 16 17 16 06 15 54 15 43 15 33 15 22 15 10 14 59 14 49 14 38 14 26 14 16 50 11 00 13 59 13 49 13 40 13 30 13 21 13 11 13 °l 12 52 12 43 12 33 12 24 12 14 11 00 10 11 41 n 32 11 24 9 08 II 17 II 08 II 01 :o 52 1° 45 10 36 10 28 10 21 10 13 lO 20 9 21 9 l 5 9 01 8 56 8 49 8 42 836 8 29 8 23 8 17 8 10 20 30 7 01 656 651 6 46 6 42 ° 37 6 32 6 28 6 23 6 18 6 13 6 08 30 40 4 41 4 37 4 34 4 31 4 28 4 25 4 22 4 19 4 15 4 12 4 °9 4 06 40 50 2 21 2 19 2 18 2 16 2 14 2 13 2 n 2 09 2 08 2 06 2 05 2 03 SO 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West, In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 218 AZIMUTH OR TRUE BEARING. LATITUDE 53°. DECUNATION- ■SAME NAME AS— LATITUDE. LATITUDE 53°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 46° 46° 47° Hour Angle. Ii. m. - o / / / / / / / / / / / / Ii. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 . 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 °° 172 46 172 25 172 01 171 32 170 59 170 19 169 33 168 37 167 27 i°5 59 164 02 10 20 166 20 165 43 165 00 164 13 163 18 162 16 161 03 159 3° 157 52 155 47 153 11 149 53 20 30 159 48 158 54 157 55 156 48 155 32 15405 152 25 150 29 148 13 145 31 142 16 138 17 30 40 153 34 152 27 151 H 149 51 148 20 146 36 144 38 142 23 139 46 136 4° 133 14 129 06 40 50 147 42 146 26 145 02 143 29 141 46 139 51 137 42 135 17 132 32 129 26 125 53 121 49 50 1 00 14* 15 140 52 139 20 137 41 135 50 133 48 131 34 129 05 126 19 123 15 119 48 115 58 1 OO 10 137 10 135 43 134 °s 132 22 130 29 128 25 126 10 123 41 118 57 120 58 "7 59 "4 44 in 09 IO 20 132 30 13° 58 129 20 127 34 125 41 123 37 121 23 116 20 113 30 no 25 107 05 20 30 128 09 126 37 124 57 123 13 121 19 119 18 117 07 114 46 112 16 109 34 106 41 I°3 34 10*0 31 30 40 124 08 122 36 120 58 "9 13 117 22 "5 23 "3 17 in 02 108 39 106 07 103 24 40 50 120 26 118 55 117 17 "5 35 113 47 in 52 109 50 107 41 105 24 103 00 100 28 97 4° 50 2 00 116 58 115 28 113 52 112 14 no 28 108 37 106 40 104 37 102 27 100 11 97 48 95 17 2 OO 10 "3 45 112 17 no 44 109 07 107 25 105 38 103 46 101 49 99 45 97 37 95 22 93 00 10 20 no 43 109 18 107 47 100 14 l°4 35 102 52 •101 05 99 13 97 15 95 13 93 °6 2° 53 20 30 107 52 106 29 105 02 103 31 101 56 100 17 98 34 96 47 94 56 93 00 90 59 88 53 30 40 105 II 103 50 202 26 100 57 99 26 97 51 9° 13 94 29 92 43 9° 53 8859 87 00 40 50 102 39 101 20 99 57 98 33 97 05 95 34 93 59 92 21 9° 39 88 54 87 06 85 12 50 3 00 100 13 98 57 97 37 96 14 94 50 93-22 91 51 90 17 88 40 87 00 85 16 83' 29 3 OO 10 97 54 96 39 95 22 94 03 92 41 91 16 89 49 88 18 86 45 85 10 83 32 81 50 10 20 95 41 94 28 93 13 91 57 9038 89 17 87 52 86 25 84 57 8325 81 51 80 13 20 30 93 32 92 21 91 09 89 55 88 39 87 20 85 59 84 36 83 10 81 42 80 13 78 39 30 40 91 28 90 20 89 09 87 57 8643 85 27 84 10 82 49 81 27 80 03 78 3° 77 07 40 50 89 27 88 21 87 13 86 03 8451 83 38 82 23 81 05 79 47 78 25 77 02 75 3° 50 4 00 87 30 86 26 85 20 84 12 83 03 81 52 80 39 79 25 78 08 76 50 75 31 74 °9 4 00 10 85 35 84 32 83 28 82 23 81 16 80 07 78 58 77 45 76 31 75 16" 73 59 72 40 10 20 83 43 82 42 81 41 80 37 79 32 78 26 77 17 76 08 74 57 73 45 72 31 7i 15 20 30 81 54 80 55 79 54 78 53 77 5° 76 45 75 39 74 32 73 24 72 14 71 02 69 49 30 40 80 05 79 08 78 10 77 10 76 08 75 06 74 °2 72 57 71 51 7° 43 69 35 68 24 40 50 78 20 77 24 76 27 75 28 74 29 73 28 72 27 7i 23 70 19 69 14 68 07 66 59 50 5 00 7° 35 75 40 74 44 73 48 72 50 71 52 70 52 69 5i 68 48 67 46 66 41 65 34 5 00 10 74 51 73 58 73 °4 72 09 71 13 70 16 69 17 68 18 67 18 66 17 65 15 64 11 IO 20 73 08 72 16 71 24 7" 3i 69 35 68 40 «7 45 66 47 65 49 64 50 °3 49 62 47 20 30 71 26 70 36 69 45 6853 67 59 67 06 66 11 65 15 64 18 63 21 62 23 61 22 30 40 69 45 68 57 68 05 67 14 66 24 °5 31 6438 63 43 62 49 61 53 60 56 59 58 40 50 68 04 67 16 66 28 •°5 38 64 48 63 58 63 06 62 13 61 20 60 25 59 3i 58 34 50 6 00 66 23 65 36 64 49 64 01 63 12 • 62 23 61 33 60 41 59 50 58 57 58 04 57 09 6 OO 10 64 42 63 58 63 11 62 24 61 37 60 49 60 00 59 1° 58 21 57 3° 5638 55 44 10 20 63 03 62 19 61 34 60 48 60 01 59 15 58 27 57 39 56 52 56 02 55 11 54 20 20 30 61 21 60 39 59 55 59 11 58 26 57 40 56 55 56 08 55 21 54 33 53 44 52 54 30 40 59 41 58 59 58 17 57 33 56 49 56 06 55 21 54 35 53 5° 53 03 52 17 51 29 40 50 58 00 57 20 5°38 55 5° 55 13 54 31 53 48 53 04 52 20 51 34 50 49 50 02 50 7 00 56 18 55 39 54 59 54 18 53 37 52 55 52 14 51 31 50 47 50 04 '49 21 48 34 7 OO 10 54 35 53 58 53 19 52 40 52 00 51 20 5° 39 49 58 49 1° 48 34 47 51 47 07 10 20 52 54 52 17 51 4° 51 01 50 22 49 43 49 °4 48 24 47 43 47 °3 46 21 45 39 20 30 51 12 50 3° 49 59 49 21 48 44 48 07 47 28 46 49 46 10 45 31 44 51 44 10 30 40 49 28 48 54 48 18 47 42 47 05 46 29 45 52 45 15 44 37 43 59 43 20 42 40 40 50 47 45 47 " 46 36 46 01 45 26 44 51 44 15 43 39 43 °3 42 26 41 49 41 II 50 a oo 45 59 45 26 44 53 44 19 43 45 43 11 42 37 42 02 41 27 40 52 4° 15 39 39 8 00 10 44 14 43 43 43 1° 42 37 42 08 41 32 40 59 40 25 39 51 39 17 38 43 3807 10 20 42 27 41 57 41 26 40 54 4° 23 39 52 38 10 39 19 38 47 38 15 37 42 37 09 36 36 20 30 40 40 40 II 39 4i 39 11 38 4° 37 4o 37 09 36 37 36 06 35 34 35 °2 30 40 38 52 38 24 37 55 37 26 3° 57 36 28 35 59 35 29 35 00 34 29 34 00 33 28 40 50 37 t>3 30 36 36 08 35 41 35 12 34 45 34 17 33 49 33 21 32 52 32 23 31 53 50 9 00 35 12 34 47 34 21 33 54 33 28 33 01 32 35 32 07 31 4° 31 13 30 46 30 18 9 OO 10 33 21 32 57 32 32 32 07 31 42 31 17 3° 51 30 26 30 00 29 34 29 09 28 42 10 20 31 30 31 07 30 43 30 19 29 56 29 32 29 07 28 43 28 19 '27 53 27 30 27 05 20 30 29 37 29 15 28 53 28 31 28 08 27 46 27 22 27 00 26 37 26 14 25 51 25 27 30 40 27 43 27 23 27 02 26 41 26 19 25 58 25 38 25 15 24 54 24 32 24 n 23 48 40 SO 25 48 25 29 25 10 24 5i 24 31 24 10 23 51 23 3" 23 11 22 50 22 30 22 10 50 10 00 23 54 23 35 23 17 22 58 22 40 22 22 22 04 20 16 21 45 21 27 21 08 20 50 20 30 10 00 10 21 57 21 40 ' 21 24 21 06 20 50 20 33 19 59 19 41 19 24 19 08 18 49 10 20 20 00 19 45 19 30 19 14 18 59 18 44 18 28 18 12 17 57 17 41 17 26 17 09 20 30 18 03 17 49 17 35 17 21 17 °7 16 53 1° 39 16 25 16 11 15 57 15 42 15 28 30 40 16 03 15 5i 15 39 15 26 15 15 15 °2 14 49 14 37 14 25 14 12 13 59 13 4° 40 50 14 05 13 54 13 44 13 32 13 21 13 10 13 °° 12 48 12 38 12 26 12 16 12 04 50 11 00 12 05 11 56 II 46 11 37 II 27 II 18 II 09 10 59 10 50 10 40 10 31 10 21 11 00 10 10 05 9 57 9 49 9 42 9 34 9 26 9 19 9 10 9 03 8 54 8 46 8 38 10 20 8 06 7 58 7 52 7 4° 7 39 7 33 7 27 7 20 7 15 7 08 7 01 ° 54 20 30 6 04 5 59 5 54 5 50 5 45 5 41 5 34 5 30 5 26 5 21 5 16 5 11 30 40 4 03 4 00 3 56 3 53 3 50 3 47 3 43 3 41 3 38 3 34 3 31 3 27 40 50 2 02 2 00 I 58 1 56 1 55 1 53 I 52 1 5° I 49 1 47 1 45 1 44 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to Bast* and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 219 AZIMUTH OR TRUE BEARING. LATITUDE 53°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 53°. Hour Angle. li. O m. 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 4,0 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 48° 180 oo 161 23 145 35 133 24 124 13 117 13 "I 43 107 14 103 30 100 17 97 28 94 57 92 39 9° 33 8835 86 44 84 58 83 17 81 40 80 06 78 34 77 °4 75 3« 74 09 72 44 71 20 as 67 12 65 50 64 27 63 05 61 43 00 21 5859 57 37 56 14 54 51 53 29 52 05 50 40 49 15 47 50 46 22 44 57 43 29 42 01 40 33 39 °3 37 32 36 02 34 30 32 58 31 24 29 50 28 16 26 40 25 04 23 26 21 50 20 II 18 33 16 53 15 14 13 34 II 52 10 11 8 30 6 49 5 07 3 24 I 42 o 00 49° 180 00 '57 33 139 50 127 19 118 28 I" 59 106 59 102 56 9? 39 96 47 94 16 92 00 88 00 86 11 84 3° 82 52 81 17 79 47 78 17 76 51 75 26 74 °3 72 4° 71 19 69 57 68 37 67 18 65 58 64 39 63 18 61 59 60 39 59 19 57 59 56 39 55 18 53 57 52 36 51 13 49 5i 48 27 47 °3 45 39 44 14 42 47 41 21 39 54 38 25 36 57 35 27 33 57 32 26 3° 54 29 21 27 48 26 14 24 4° 23 04 21 29 19 52 18 15 16 37 14 59 13 20 II 42 10 01 8 22 6 42 5 02 3 21 1 40 00 180 00 151 36 131 58 119 45 "I 45 106 06 101 50 98 25 95 34 93 05 9° 53 8854 87 04 85 22 83 44 82 11 80 41 79 14 77 50 76 28 75 06 73 46 72 27 71 09 6 1 5i 6833 . 6 7 17 f5 59 64 43 63 26 62 09 60 52 59 34 58 17 56 59 55 41 54 21 53 02 51 42 5° 22 49 °i 47 39 46 17 44 54 43 30 42 06 40 41 39 15 37 48 36 21 34 53 33 24 3i 54 30 25 2853 27 21 25 49 24 16 2243 21 07 !9 33 17 57 16 21 14 45 13 °7 11 3° 9 52 8 14 636 4 57 3 18 1 39 o 00 51° 1S0 00 141 26 121 02 no 27 104 00 99 35 96 14 93 31 91 13 89 12 87 22 85 42 84 06 82 37 81 11 79 47 78 27 77 08 75 50 74 33 73 18 72 03 70 49 69 34 68 21 67 07 65 53 64 40 63 26 62 12 60 57 59 42 58 27 57 12 55 56 54 4° 53 22 52 05 50 47 49 28 48 10 46 49 45 29 44 07 42 45 41 22 39 59 38 35 37 09 35 44 34 18 32 50 31 22 29 54 28 23 26 54 25 22 23 5i 22 19 20 46 19 13 17 39 16 05 14 29 12 54 II 18 9 42 8 06 6 29 4 5i 3 14 I 37 o 00 52° 180 00 122 18 106 12 99 21 95 20 92 29 12 IS 88 21 86 41 85 08 83 43 82 22 81 04 79 48 78 33 77 21 76 08 74 58 73 47 72 37 71 28 70 18 69 09 6758 66 48 65 39 64 28 63 18 62 07 60 56 59 44 5832 57 20 56 06 54 53 53 39 52 23 51 °8 49 52 48 35 47 17 46 00 44 4i 43 21 42 00 40 39 39 17 37 55 3° 31 35 07 33 42 32 16 30 50 29 23 27 54 26 26 24 57 23 27 21 56 20 24 1853 17 20 15 48 14 15 12 41 11 07 9 32 I 57 6 22 4 46 3 11 I 36 o 00 53° 00 89 00 55 °5 88 00 69 25 87 00 74 22 86 00 76 28 85 00 77 20 83 °o 8058 7958 78 57 77 55 76 54 75 52 74 5° 73 48 72 45 7i 42 7°38 69 35 68 30 67 26 66 20 65 15 64 09 63 02 61 55 60 47 59 39 58 3° 57 21 56 11 55 °° 53 48 52 36 51 23 50 10 48 56 47 4i 46 25 45 °9 43 52 42 34 41 15 39 55 38 35 37 14 35 52 34 3° 33 06 31 42 30 17 28 51 27 25 25 58 24 30 23 02 21 33 20 03 18 33 17 02 15 31 13 59 12 27 1° 55 9 22 7 49 6 15 4 42 3 08 I 34 o 00 54° 77 37 77 3° 77 11 76 42 76 07 75 26 74 43 73 56 73 °7 72 lb 71 22 70 29 % 33 68 36 67 39 66 40 65 40 64 40 63 39 62 37 61 34 60 31 59 26 58 20 57 14 56 07 55 00 53 52 52 42 51 32 50 22 49 11 4759 46 45 45 32 44 15 43 °i 4i 45 40 28 39 l° 37 52 36 32 35 12 33 5i 32 3° 31 °7 29 43 28 20 26 55 25 29 24 04 22 37 21 09 19 41 18 12 16 44 15 14 13 44 12 13 10 42 9 11 7 39 6 09 4 37 3 05 1 32 o 00 55 c 00 35 45 53 46 62 35 67 12 69 46 71 12 7i 59 72 19 72 22 72 12 71 53 71 27 7° 55 70 18 69 38 68 55 68 10 67 22 66 32 65 40 64 48 63 53 62 57 62 01 61 03 60 04 59 "3 58 02 57 °° 55 57 54 53 53 47 52 42 51 35 50 27 49 19 48 09 46 59 45 48 44 36 43 24 42 II 4° 55 39 41 3825 37 08 35 50 34 31 33 12 31 52 3° 32 29 09 27 47 26 24 25 00 23 36 22 10 20 45 19 18 17 52 16 24 14 56 13 29 II 59 10 30 9 00 7 31 6 01 4 31 3 01 1 31 o 00 56° 00 24 49 42 03 52 26 58 4° 62 32 66 32 67 3° 68 02 68 17 68 18 68 09 67 52 67 28 6659 66 25 65 49 i s °i 64 26 63 4i 62 54 62 05 61 14 60 21 59 27 58 32 57 35 56 38 55 39 54 38 53 3? 52 35 51 31 50 27 49 22 48 16 47 °9 46 01 44 52 43 41 42 31 41 19 40 06 38 53 37 38 3° 23 35 08 33 51 32 33 31 14 29 56 28 36 27 15 25 54 24 32 23 09 21 45 20 21 1856 17 31 16 06 14 4° '3 13 II 46 10 18 851 7 23 5 54 4 26 2 57 1 29 o 00 57° o 00 18 43 33 37 44 04 51 05 55 49 59 °2 61 14 62 45 63 45 64 21 64 41 64 50 64 36 64 17 63 54 63 25 62 53 62 18 61 39 60 57 60 13 59 27 58 40 57 5° 56 58 56 °5 55 11 54 15 ,53 18 52 19 51 20 50 19 49 17 48 14 47 n 46 05 45 °° 43 53 42 45 41 36 40 26 39 15 3» 04 36 51 35 38 34 24 33 °9 31 53 30 36 29 19 28 00 26 42 25 21 24 02 22 41 21 19 19 56 18 33 17 10 15 46 14 22 12 56 11 31 10 06 8 39 7 14 5 48 4 20 1 26 00 58° 14 47 27 29 37 18 44 31 49 43 53 28 56 11 58 08 59 3i 60 29 61 07 61 30 61 41 61 41 61 34 61 21 61 01 60 36 60 07 59 35 58 59 58 21 57 4° 56 57 56 10 55 23 54 33 53 42 52 50 5i 56 Si 01 50 04 49 06 48 07 47 °S 46 05 45 °2 43 sy +2 53 41 47 40 41 39 33 38 24 37 14 36 03 34 52 33 39 32 26 31 13 29 57 28 41 27 26 26 09 24 5° 23 31 22 13 20 52 19 32 18 II 16 49 15 26 14 °4 12 41 II 17 9 53 8 29 7 °5 5 40 4 16 2 51 1 25 o 00 59° o 00 12 06 22 56 31 53 3856 44 17 48 21 51 25 Hour Angle. li. O 53 42 55 25 56 41 57 35 58 12 5836 5848 58 51 58 46 58 34 58 17 57 56 57 29 56 59 56 26 55 5° 55 12 54 30 53 46 53 °o 52 13 51 24 5° 33 49 4° 48 46 47 5i 46 54 45 57 44 57 43 57 42 56 41 52 40 49 39 45 35 39 37 32 36 24 35 15 34 °5 32 55 31 43 3° 32 29 18 28 04 26 50 25 34 24 18 23 °i 21 43 20 25 19 06 17 47 16 27 15 06 13 46 12 24 11 02 9 4° 8 19 6 56 5 33 4 10 2 47 1 23 00 10 11 12 111. 00 10 20 30 40 50 00 10 20 30 40 50 00, 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 220 AZIMUTH OR TRUE BEARING. LATITUDE 53°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 53°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. Ii. in. o / / / ' 1 / t /* / / t Ii. 111. OO 00 00 00 00 00 00 00 00 00 00 00 O OO io io 08 8 37 7 27 6 29 5 43 5 °3 4 30 4 02 3 3° 3 15 2 55 10 20 19 27 16 43 14 32 12 44 11 14 9 59 8 55 7 58 7 °9 6 27 5 49 20 30 27 31 23 57 21 00 18 32 16 27 14 4° 13 07 11 47 10 35 9 33 8 37 30 40 34 10 30 08 26 42 23 45 21 13 19 00 17 °5 15 23 13 52 12 32 11 19 40 50 39 2 9 35 1° 31 34 28 20 25 28 22 57 20 43 1845 16 58 15 22 13 54 50 1 OO 43 4i 39 28 35 41 32 16 29 14 26 30 24 02 21 50 19 49 18 00 16 22 1 00 10 4658 42 52 39 ° 6 35 38 32 29 29 38 27 01 24 37 22 26 20 29 1838 IO 20 49 3i 45 34 41 53 38 27 35 17 32 21 29 38 27 08 24 50 22 42 20 45 20 30 51 29 47 43 44 10 40 48 37 39 34 42 31 57 29 22 26 59 24 45 22 42 30 40 52 59 49 25 46 01 42 45 39 39 36 43 33 57 31 20 28 53 26 36 24 27 40 50 54 09 50 45 47 28 44 19 41 18 3825 35 40 33 °4 3° 35 28 14 26 02 50 2 OO 54 57 51 45 48 39 45 37 42 4° 39 52 37 09 \ 34 34 32 05 29 43 27 28 2 OO 10 55 32 52 31 49 32 4638 43 51 41 °3 38 24 35 5° 33 22 31 00 2845 10 20 55 55 53 02 5° 13 47 26 44 4i 42 02 39 26 36 54 34 29 32 07 29 5i 20 SO 56 °7 53 24 50 43 48 03 45 24 42 49 40 18 37 49 35 25 33 06 30 50 30 40 56 11 53 36 51 02 48 28 45 5° 43 26 4o 59 38 34 3° 13 33 55 31 41 40 50 5° 07 53 40 51 13 48 45 46 20 43 55 41 32 39 11 36 52 34 37 32 24 50 3 00 55 58 53 37 51 17 48 55 46 35 44 15 41 57 39 4° 37 24 35 11 33 °i 3 OO 10 55 42 53 28 51 14 48 58 46 43 44 29 42 14 40 01 37 49 35 39 33 3i IO 20 55 22 53.13 51 05 48 55 4° 45 44 35 42 25 40 16 38 07 36 00 • 33 54 20 30 54 58 52 55 50 51 48 47 46 42 44 3° 42 31 40 25 38 20 36 16 34 12 30 40 54 30 52 33 50 34 48 34 4° 33 44 32 42 3° 40 29 38 27 36 27 34 26 40 50 53 59 52 06 50 12 48 17 46 21 44 23 42 26 40 28 38 3° 36 32 34 34 50 4 00 53 24 51 35 49 4° 47 56 46 03 44 11 42 17 40 23 38 27 36 33 34 37 4 OO 10 52 47 51 03 49 18 47 31 45 43 43 54 42 04 4° 13 38 21 36 3° 34 38 IO 20 52 08 50 27 48 46 47 °3 45 19 43 34 41 47 40 00 38 II 36 23 34 33 20 30 51 26 49 49 48 11 46 32 44 52 43 1° 41 27 39 44 37 58 36 12 34 26 30 40 50 42 49 °9 47 35 45 59 44 22 42 43 41 °4 39 23 37 41 35 58 34 15 40 50 49 56 4827 46 56 45 23 43 49 42 14 40 38 39 °l 37 21 35 42 34 °l 50 5 00 49 08 47 41 46 15 44 45 43 14 41 42 40 10 38 35 36 59 35 22 33 44 5 00 10 48 18 46 55 45 31 44 04 42 36 41 °7 39 38 38 06 3633 34 59 33 24 10 20 47 27 46 07 44 46 43 23 41 58 4° 31 39 °5 37 3° 36 06 34 35 33 °2 20 30 46 35 45 17 43 59 42 38 41 16 39 53 38 29 37 °3 35 36 34 07 32 37 30 40 45 41 44 26 43 10 41 52 4° 33, 39 13 37 51 36 28 35 °3 33 37 32 11 40 50 44 45 43 33 42 20 41 04 39 48 38 3° 37 11 35 51 34 29 33 06 31 41 50 i 6 OO 43 48 42 39 41 28 40 16 39 01 37 4° 3° 30 35 12 33 52 32 32 31 °9 6 OO 10 42 5° 41 43 40 35 39 24 38 12 37 00 35 47 34 31 33 15 31 56 30 37 IO 20 41 52 40 46 39 41 38 33 37 23 36 13 35 °2 33 5° 32 35 31 20 30 02 20 30 40 52 39 48 38 44 37 38 36 32 35 24 34 15 33 °5 31 53 30 40 29 25 30 40 39 50 38 49 37 47 36 44 35 39 34 34 33 27 32 19 31 °9 29 59 28 47 40 50 38 46 37 48 36 49 35 48 34 45 33 42 32 38 31 33 30 25 29 17 28 07 50 7 00 37 43 36 46 35 49 34 50 33 5° 32 5° 31 48 3° 44 29 4° 28 34 27 27 7 00 10 3638 35 43 34 48 33 51 32 54 31 55 3° 5° 29 '55 28 52 27 49 26 44 10 20 35 33 34 40 33 47 32 52 31 57 31 00 30 02 29 °4 28 04 27 03 26 00 20 30 34 25 33 35 32 44 31 52 3° 58 30 04 29 08 28 12 27 14 26 15 25 15 30 40 33 18 32 29 31 4" 3° 5° 29 58 29 06 28 13 27 18 26 23 25 26 24 28 40 50 32 10 31 22 3° 35 29 47 28 58 28 08 27 16 26 24 25 31 24 37 23 41 50 8 00 31 00 3° 15 29 30 28 42 27 56 27 08 26 19 25 29 24 38 23 45 22 53 8 OO IO 29 50 29 07 28 23 27 38 26 53 26 08 25 20 24 33 23 44 22 54 22 03 10 20 2838 27 57 27 16 26 33 25 5° 25 06 24 22 23 36 22 49 22 01 21 12 20 30 27 26 26 47 26 08 25 27 24 46 24 04 23 21 22 38 21 53 21 07 20 21 30 40 26 13 25 36 24 58 24 20 23 41 23 01 22 20 21 39 20 56 20 12 19 28 40 50 25 00 24 24 2348 23 12 22 34 21 57 21 18 20 39 19 58 19 17 18 35 50 9 00 23 45 23 11 22 37 22 03 21 27 20 52 20 15 19 38 19 00 18 21 17 4° 9 OO 10 22 30 21 58 21 26 20 53 20 20 19 46 19 12 18 37 18 01 17 24 16 46 10 20 21 15 20 45 20 14 19 43 19 12 18 40 18 07 17 35 17 00 16 26 15 51 20 30 19 58 19 30 19 02 18 32 18 03 17 33 17 03 16 32 16 00 15 28 14 55 30 40 18 41 18 14 1748 17 21 16 53 16 25 15 58 15 28 14 59 14 29 13 57 40 50 17 23 16 59 16 35 16 09 15 43 15 18 14 52 14 25 13 57 13 29 13 00 50 10 00 16 05 15 43 15 21 14 57 14 33 14 09 13 45 13 21 12 55 12 29 12 02 10 00 10 14 46 14 26 14 05 13 44 13 22 13 OO 12 38 12 15 11 52 11 28 11 04 10 20 13 28 13 08 12 50 12 31 12 II 11 51 11 31 II 10 10 49 10 27 10 05 20 30 12 08 " 51 11 34 11 17 10 59 10 41 10 23 10 04 9 45 9 26 9 °5 30 40 10 48 10 33 10 18 10 02 9 47 9 31 Q 14 8 58 8 40 8 24 8 05 40 50 9 27 9 14 9 02 8 48 8 34 8 21 8 06 7 51 7 37 7 21 7 06 50 11 OO 8 07 7 56 7 45 7 33 7 21 7 09 6 57 6 45 6 32 6 19 6 06 11 00 10 6 46 637 6 28 6 18 6 OS 5 58 5 48 5 37 5 27 5 16 5 05 IO 20 5 26 5 17 5 10 5 °3 4 55 4 47 4 39 4 31 4 22 4 14 4 04 20 30 4 04 3 58 3 53 3 47. 3 4i 3 35 3 29 3 23 3 16 3 10 3 03 30 40 2 43 2 39 2 35 2 31 2 27 2 24 2 20 2 15 2 11 2 07 2 02 40 50 I 22 I 20 1 18 1 16 1 14 1 12 1 10 1 08 1 °5 1 03 I 01 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 221 AZIMUTH OR TRUE BEARING. liATITUBE 54°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 54°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. / / / / / / / / 1 / r / n. hi. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 26 175 20 175 13 175 06 174 59 174 50 174 41 174 3i 174 21 174 09 173 57 173 44 10 20 170 54 170 41 170 28 170 14 169 59 169 43 169 25 169 06 168 46 168 23 167 59 167 32 20 30 166 25 166 07 165 48 165 27 165 04 164 41 164 15 163 48 163 18 162 45 162 10 161 31 30 40 162 01 161 38 161 12 160 45 160 16 159 46 159 13 158 37 157 59 157 18 156 32 155 43 40 50 157 43 157 13 156 42 156 10 155 35 154 59 154 19 153 38 152 53 152 04 151 11 150 14 50 1 00 153 32 152 58 152 23 151 46 151 06 150 25 149 39 148 52 148 00 147 04 146 06 145 01 1 OO 10 149 28 148 51 148 12 147 31 146 46 146 00 145 10 144 18 143 22 142 21 141 17 140 07 lO 20 145 33 144 53 144 09 143 25 142 38 141 48 140 54 139 58 138 58 137 54 136 46 135 33 20 30 141 46 141 02 140 18 139 30 138 39 137 47 136 5° 135 51 134 49 133 41 132 31 131 16 30 40 138 08 137 22 136 35 135 45 134 52 ■33 58 132 59 131 59 130 54 129 45 128 33 127 17 40 60 134 38 133 5i 133 02 132 10 131 16 130 20 129 20 128 17 127 11 126 02 124 49 123 32 50 2 00 131 17 130 28 129 37 128 44 127 49 126 52 125 5i 124 48 123 42 122 32 121 19 120 02 2 00 10 128 04 127 14 126 22 125 28 124 31 123 35 122 34 121 29 120 23 119 13 118 01 116 45 10 20 124 57 124 07 123 15 122 20 121 24 120 27 119 25 118 22 117 16 116 06 114 54 113 39 20 30 121 59 121 08 120 16 119 22 118 25 117 27 116 26 "5 23 114 17 113 °8 in 57 no 43 30 40 119 07 118 16 117 24 116 29 115 33 114 35 "3 34 112 32 in 27 no 19 109 09 107 57 40 SO 116 22 "5 3i 114 38 113 44 112 48 III 51 no 50 109 49 108 45 107 38 106 30 105 18 50 3 00 113 42 112 52 in 58 III 05 no 09 109 13 108 13 107 13 106 09 105 04 i°4 57 102 48 3 00 10 in 07 no 16 109 25 108 31 107 37 106 40 105 42 104 43 103 40 102 36 101 30 100 22 lO 20 108 38 107 48 106 56 106 04 105 09 104 14 103 16 102 18 101 17 100 14 99 10 98 04 20 30 106 13 105 24 104 32 103 40 102 47 l°l 53 i°o 55 99 57 98 58 97 57 96 54 95 49 30 40 i°3 52 103 03 102 13 101 22 100 29 99 35 98 39 97 42 96 44 95 44 94 43 93 4" 40 50 I°l 35 100 47 99 57 99 07 98 15 97 22 96 27 95 31 94 34 93 35 92 36 91 34 50 4 OO 99 22 98 35 97 45 9656 96 05 95 12 94 18 93 24 92 28 91 31 90 32 89 33 4 00 10 97 11 96 24 95 35 94 46 93 57 93 °5 92 12 91 19 90 24 89 28 88 31 ! 73 3 10 20 95 03 94 16 93 29 92 41 91 51 91 02 90 09 89 17 8823 87 29 86 33 8536 20 30 92 58 92 12 91 25 90 38 89 50 89 00 88 09 87 18 86 26 8532 8438 83 42 30 40 9° 55 90 10 89 24 8837 87 49 87 01 86 12 85 21 84 29 83 37 82 44 81 49 40 50 88 54 88 09 87 24 86 38 85 51 85 °4 84 15 83 26 82 35 8145 80 52 80 00 50 5 00 86 54 86 10 85 25 84 40 83 54 83 08 82 20 81 32 80 43 79 54 79 °3 78 n 5 00 10 8456 84 13 83 29 8245 81 59 81 14 So 27 79 4o 7852 "8 03 77 13 76 23 lO 20 82 59 82 17 81 33 80 51 80 05 79 21 78 35 77 49 77 °i 76 14 75 26 74 36 20 30 81.03 80 21 79 39 7856 78 12 77 29 76 44 75 58 75 12 74 26 73 39 72 51 30 40 79 09 78 27 77 45 77 04 76 21 75 38 74 54 74 1° 73 25 72 39 71 52 7i °5 '40 50 77 14 76 34 75 52 75 11 74 30 73 47 73 °5 72 22 7i 37 70 53 70 07 69 21 50 6 OO 75 20 74 41 74 01 73 20 72 39 71 58 71 16 70 33 69 49 69 07 68 22 67 38 6 OO lO 73 26 72 47 72 08 71 29 70 48 70 08 69 27 6845 68 02 67 20 6638 65 54 lO 20 71 33 70 56 70 16 69 38 68 59 68 19 67 39 66 58 66 17 65 36 64 53 64 10 20 30 69 40 69 03 6825 67 47 67 09 66 30 65 50 65 11 64 30 63 49 63 08 62 27 30 40 67 47 67 10 6633 65 56 65 18 64 40 64 02 63 22 62 43 62 04 61 24 60 43 40 50 65 54 65 18 64 41 64 05 63 27 62 51 62 13 61 35 60 57 60 18 59 39 58 59 50 7 00 64 00 63 25 62 49 62 13 61 37 61 01 60 24 59 48 59 09 58 33 57 55 57 16 "> 00 10 62 05 61 31 60 56 60 21 59 46 59 10 58 35 57 59 57 22 56 46 56 09 55 31 10 20 60 11 59 37 59 03 5§ 29 57 54 57 20 56 45 56 10 55 34 54 59 54 22 53 46 20 30 58 16 57 43 57 10 56 37 56 03 55 29 54 55 54 21 53 46 53 12 52 37 52 01 30 40 56 20 55 48 55 16 54 43 . 54 1° 53 37 53 °4 52 31 51 57 5i 24 5" 49 5° 15 40 SO 54 24 53 52 53 20 52 49 52 17 51 45 51 13 50 40 50 08 49 36 49 03 48 30 50 8 OO 52 25 51 55 51 24 50 53 5° 23 49 52 49 20 48 48 48 17 47 46 47 14 46 41 8 OO 10 50 27 49 5» 49 28 48 58 48 28 47 58 47 28 46 57 46 27 45 56 45 26 44 54 lO 20 48 27 47 58 47 3° 47 01 46 32 46 03 45 33 45 04 44 34 44 °5 43 36 43 05 20 30 46 27 45 59 45 31 45 04 44 35 44 07 43 38 43 11 42 42 42 14 41 45 41 16 30 40 44 25 43 58 43 3i 43 04 42 37 42 n 41 43 41 15 40 48 40 21 39 53 39 26 40 50 42 22 41 57 •41 31 41 "5 40 38 40 12 39 46 39 20 38 54 38 27 38 02 37 35 50 9 00 40 17 39 53 39 28 39 03 3838 38 14 37 49 37 24 3658 36 33 36 08 35 43 9 OO lO 38 13 37 49 37 25 37 02 36 38 36 14 35 5° 35 25 35 °2 34 38 34 14 33 50 10 20 36 06 35 43 35 20 34 57 34 35 34 12 33 5° 33 27 33 05 32 42 32.19 31 56 20 30 33 58 33 36 33 15 32 54 32 32 32 10 31 50 31 28 31 06 3° 44 30 23 30 02 30 40 31 49 31 28 31 08 30 48 30 23 30 08 29 47 29 27 29 06 28 47 28 26 28 06 40 50 29 39 29 19 29 01 28 42 28 23 28 03 27 45 27 25 27 07 26 47 26 28 26 10 50 10 00 27 27 27 09 26 51 26 34 26 16 25 59 25 41 25 23 25 05 24 48 24 30 24 12 10 00 10 25 14 2458 24 41 24 25 24 08 23 52 23 36 23 19 23 03 22 47 22 31 22 14 10 20 23 00 22 46 22 30 22 16 22 01 21 45 21 31 21 16 21 01 20 45 20 31 20 16 20 30 20 46 20 33 20 19 20 05 19 52 19 38 19 24 19 II 18 57 18 44 18 30 18 16 30 40 18 30 18 17 18 05 17 53 17 42 17 29 17 16 17 05 16 52 16 40 16 28 16 16 40 50 16 13 16 02 15 52 15 41 15 31 15 20 15 °9 14 58 14 47 14 37 14 27 14 15 50 11 00 13 56 13 47 13 37 13 28 13 19 13 10 13 01 12 51 12 42 12 33 12 23 12 15 11 00 10 11 37 n 30 II 22 11 15 n 06 10 59 10 51 10 44 10 35 10 29 10 21 10 13 lO 20 9 19 9 13 9 06 9 00 8 54 8 48 8 41 8 35 8 30 8 23 8 17 8 11 20 30 7 00 6 55 6 50 6 45 6 41 6 36 631 6 27 6 22 6 18 6 13 6 08 30 40 4 40 4 37 4 33 4 3° 4 27 4 24 4 21 4 18 4 15 412 ■4 09 4 06 40 50 2 20 2 18 2 17 2 15 2 13 2 12 2 11 2 09 2 08 2 06 2 04 2 03 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 222 AZIMUTH OR TRUE BEARING. LATITUDE 54°. DECI4NATION- -SAME NAME AS— LATITUDE. LATITUDE 54°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / t / / / / / / / r / / li. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 28 173 " 172 53 172 31 172 07 171 39 171 07 170 29 169 43 168 49 167 40 166 13 10 20 167 03 166 30 165 53 165 12 164 25 163 33 162 31 161 19 159 55 158 14 156 10 153 36 20 30 160 49 160 01 159 °9 158 11 157 °5 155 51 154 26 152 48 15° 55 148 39 145 59 142 46 30 40 154.5° 153 51 152 47 151 34 150 13 148 43 147 01 145 04 142 50 140 16 137 16 133 47 40 50 149 it 148 02 146 47 145 24 143 53 142 11 140 17 138 09 135 45 133 ° 2 129 55 126 24 50 1 00 143 52 142 36 141 14 139 44 138' 05 136 16 134 16 132 03 129 34 126 49 123 44 120 17 1 OO 10 138 53 137 32 136 05 134 31 132 48 130 55 128 51 126 37 124 09 121 26 118 27 115 10 10 20 134 15 132 51 131 21 129 44 127 59 126 06 124 03 121 49 119 23 1 16 46 "3 54 no 48 20 30 129 56 128 30 126 59 125 21 123 36 121 43 119 41 117 3° 115 10 112 39 109 56 107 01 30 40 125 55 124 29 122 57 121 19 119 36 117 44 115 46 113 39 III 24 108 59 106 25 10342 40 SO 122 11 120 45 119 14 "7 38 115 55 114 07 112 n no 09 108 00 i°5 43 103 16 100 42 50 2 00 118 41 117 16 115 46 114 11 112 32 no 46 108 55 106 57 i°4 53 102 43 100 25 98 00 2 OO 10 115 25 114 01 112 34 ill 01 109 24 107 42 105 54 103 06 104 02 102 03 99 59 97 48 95 32 10 20 112 20 110 58 109 32 108 02 106 28 104 49 101 18 99 25 97 27 95 23 93 14 20 30 109 25 108 06 106 42 105 15 103 44 102 08 100 29 98 45 96 57 95 °4 93 °7 91 "5 30 40 106 41 105 23 104 01 102 36 101 08 99 36 98 00 96 21 94 38 92 51 9° 59 89 °3 40 50 104 05 102 48 101 30 100 07 98 42 97 13 95 41 94 05 92 27 90 45 8858 87 08 50 it 00 mi 35 100 21 99 °4 ' 97 45 96 22 94 57 93 28 91 56 90 22 88 44 87 02 85 18 3 00 10 99 12 98 00 9 6 45 95 28 94 °9 92 46 91 21 89 53 88 22 86 48 85 11 83 31 IO 20 96 55 95 45 94 32 93 18 92 00 90 41 89 18 87 54 86 26 8456 83 24 81 49 20 30 94 42 93 34 92 24 91 12 89 57 88 40 87 21 85 59 84 36 83 09 81 40 80 09 30 40 92 34 91 28 89 26 90 20 89 10 87 58 86 44 85 27 84 08 8248 81 25 79 59 78 32 40 50 90 30 88 20 87 12 86 02 84 5° 8336 82 21 81 03 79 43 78 21 76 57 50 4 00 88 31 87 28 86 23 85 17 84 10 83 00 81 48 80 35 79 20 78 03 76 44 75 23 4 OO 10 8633 85 32 84 29 83 25 82 19 81 II 80 02 78 52 77 39 76 26 75 °9 73 51 IO 20 .84 38 83 39 82 37 81 35 80 31 79 26 78 20 77 1° 76 01 74 49 73 36 72 21 20 30 8245 8147 80 48 79 48 78 45 77 43 76 37 75 31 74 24 73 15 72 03 7° 51 30 40 8055 79 59 79 00 78 02 77 02 76 01 74 58 73 53 72 48 71 41 7° 33 69 23 40 50 79 °5 78 11 77 15 76 17 75 19 74 19 73 19 72 17 71 13 70 08 69 02 67 55 50 5 QO 77 18 76 25 75 30 74 34 73 38 72 40 71 40 70 '40 69 39 6837 67 32 66 27 5 00 10 75 32 74 4° 73 46 72 53 71 57 71 02 70 04 69 °5 68 06 67 06 66 03 65 00 IO 20 73 46 72 56 72 04 71 11 70 18 67 46 68 28 67 31 66 33 65 35 64 34 63 34 20 30 72 01 7i 13 70 22 69 31 68 39 66 52 65 57 65 01 64 05 63 °5 62 07 30 40 70 18 69 30 68 41 67 51 67 01 66 09 65 16 64 23 63 29 62 34 61 37 60 40 40 50 68 36 67 48 67 00 66 12 65 24 64 33 63 41 62 50 61 57 61 04 60 09 59 14 50 6 OO 66 52 66 06 65 '20 64 33 63 45 62 57 62 07 61 17 60 25 59 34 58 4° 57 47 6 00 10 65 09 64 26 63 39 62 53 62 07 61 20 60 32 59 43 58 53 58 03 57 " 56 20 10 20 63 28 62 44 62 00 61 15 60 30 S9 44 58 57 58 10 57 22 56 33 55 43 54 53 20 30 61 45 61 04 60 20 59 37 5852 58 08 57 22 5636 55 49 555 36 II 35 15 34 19 33 22 32 23 31 23 30 22 29 19 28 16 27 10 10 20 35 58 35 06 34 12 33 18 32 23 31 26 30 28 29 29 28 29 27 28 26 25 20 30 40 50 34 50 33 59 33o8 32 16 31 23 30 28 29 33 28 36 27 39 26 40 25 39 30 33 4i 32 53 32 03 31 13 30 22 29 29 28 36 27 42 26 46 25 49 24 51 40 32 31 31 44 30 57 30 09 29 19 28 30 27 39 26 46 25 53 24 58 24 03 50 8 00 10 20 30 40 50 31 19 30 36 29 50 29 04 28 16 27 29 26 40 25 49 24 59 24 07 23 13 8 OO 30 08 29 26 28 42 27 58 27 13 20 27 25 40 24 53 24 04 23 13 22 23 IO 28 56 28 15 27 34 26 52 26 oS 25 24 24 39 23 53 23 08 22 20 21 31 20 27 43 27 04 26 24 25 44 25 03 24 21 23 39 22 55 22 10 21 25 20 38 30 26 28 25 52 25 14 24 36 23 57 23 17 22 36 21 55 21 12 20 29 19 45 40 25 14 24 39 24 03 23 27 22 49 22 12 2i 34 20 53 20 13 19 32 18 51 50 9 OO 10 20 30 23 58 23 25 22 51 22 16 21 41 21 06 20 29 19 52 19 14 18 35 17 55 9 00 22 43 22 11 21 39 21 07 20 33 20 00 19 25 18 49 18 14 17 37 16 59 10 21 26 20 56 20 26 19 55 19 24 18 53 18 20 17 47 17 13 16 39 16 03 20 20 09 19 40 19 12 18 44 18 15 17 45 17 M 16 43 16 11 15 39 15 06 30 40 60 18 51 18 25 17 58 17 31 17 04 1° 37 16 08 15 39 15 °9 14 39 14 09 40 17 32 17 08 16 43 16 19 15 54 15 28 15 01 14 34 14 °7 13 38 13 10 50 10 00 10 20 30 40 50 16 14 15 51 15 29 15 06 14 42 14 18 13 54 12 46 13 29 13 04 12 37 12 11 10 00 14 54 14 33 14 T2 13 52 13 30 13 08 12 23 12 00 11 36 11 12 10 13 34 13 15 12 57 12 38 12 13 11 58 11 38 11 17 i° 57 10 35 10 12 20 12 14 11 57 II 40 11 23 II 05 10 48 10 29 10 11 9 5i 9 32 9 13 30 10 53 10 38 10 23 10 08 9 52 9 37 9 20 9 °4 8 47 8 29 8 12 40 9 32 9 20 9 06 8 53 8 38 825 8 10 7 56 7 42 7 26 7 11 50 11 00 10 20 30 40 50 00 8 11 8 00 7 48 7 37 7 25 7 14 7 01 6 49 6 36 6 23 6 10 11 00 6 50 6 40 6 30 6 21 6 11 6 02 5 51 5 41 5 3° 5 20 5 °8 10 5 28 4 06 5 21 5 13 5 °5 4 57 4 49 4 41 4 33 4 24 4 16 4 07 20 4 00 3 55 3 49 3 43 3 37 3 31 3 25 3 18 3 12 3 °5 30 2 44 2 41 2 3 6 2 32 2 29 2 25 2 20 2 16 2 12 2 08 2 03 40 13 1 22 1 20 1 18 1 17 1 14 I 13 1 10 1 09 1 06 1 °5 1 02 50 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. when t In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and :n the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour anirle and th* supplement of the tabulated azimuth is to be taken for the required true bearing. s 225 AZIMUTH OR TRUE BEARING. LATITUDE 5 5°. DECI,INATION- -SAME NAME AS— LATITUDE. LATITUDE 55°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ii. in. o , / / t t / t / / / / / Ii. 111. 00 l8o 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 00 io 20 175 34 175 28 175 22 175 16 175 09 175 01 "4 53 174 45 174 35 174 25 174 14 174 01 10 171 10 170 58 170 46 17° 34 170 20 170 04 169 48 169 31 169 13 168 53 168 31 168 07 20 30 166 48 166 32 166 14 165 55 l6 5 34 165 12 164 49 164 24 163 '57 163 28 162 57 162 22 30 40 50 .162 31 162 09 161 45 161 21 160 54 160 26 159 56 159 25 158 49 158 12 157 32 156 47 40 158 19 157 52 '57 24 156 54 156 22 155 49 155 12 154 34 153 52 153 °8 152 20 151 28 50 1 OO 10 20 154 13 153 43 153 10 152 35 151 58 151 20 150 39 149 54 149 07 148 17 147 22 146 24 1 00 150 14 146 23 149 39 M9 D 3 148 25 147 44 146 58 146 15 145 27 144 35 143 39 142 40 141 37 10 145 44 145 05 144 23 143 39 142 53 142 04 141 12 140 15 139 ID 138 13 137 07 20 30 142 39 141 58 141 16 140 31 '39 44 138 54 135 08 138 03 137 07 136 09 135 °7 134 02 132 52 30 40 139 02 138 19 137 35 136 48 135 58 134 13 133 16 132 16 131 11 130 04 12853 40 50 135 36 134 50 134 04 133 15 132 24 131 31 13° 34 129 36 128 34 127 29 126 20 125 08 50 2 00 132 14 131 28 13° 42 129 51 128 58 128 03 127 07 126 07 125 03 123 58 122 49 121 37 2 00 10 129 02 128 14 127 25 126 34 125 41 124 46 123 48 122 48 121 45 120 39 119 3° 118 18 10 20 125 56 125 08 124 18 123 27 122 32 121 37 120 39 "9 39 118 36 117 29 116 21 115 10 20 30 122 56 122 08 121 18 120 25 119 32 118 36 117 38 116 38 "5 35 114 29 113 22 112 11 30 40 120 04 "1 X l 118 25 "7 33 116 39 115 43 "4 45 113 46 112 42 III 38 no 31 109 21 40 50 117 17 116 28 J 15 39 114 46 "3 52 112 57 "i 59 III 00 109 58 l°8 55 107 48 106 40 50 3 OO "4 37 "3 47 112 57 112 05 III 12 no 17 109 20 108 22 107 21 106 18 105 13 104 06 3 00 IO 112 00 in 12 IIO 21 109 30 108 37 107 42 106 46 i°5 49 104 49 •03 47 102 43 101 38 10 20 IO9 29 108 40 107 52 107 00 106 08 105 14 104 18 103 21 102 23 101 22 100 20 99 15 ■ 9°58 20 30 I07 03 106 15 105 26 104 35 103 42 102 49 101 55 100 59 100 02 99 01 98 01 30 40 104 40 103 52 103 04 102 14 101 22 100 30 99 36 98 41 97 45 96 46 95 47 94 45 40 50 I02 21 101 33 100 46 99 57 99 06 98 14 97 22 96 28 95 33 94 35 93 36 92 37 50 4 00 100 07 99 19 98 32 97 44 96 53 96 02 95 10 94 17 93 24 92 27 91 30 90 32 4 OO 10 97 53 97 06 96 20 95133 94 43 92 3° 93 54 93 °2 92 10 91 17 50 21 89 26 88 29 10 20 95 44 93 36 94 57 94 12 93 25 91 47 9° 57 90 06 89 14 fc8 20 87 25 86 30 20 30 92 51 92 05 91 19 90 31 89 43 88 54 88 04 87 13 £6 20 85 28 84 33 30 40 91 31 90 46 90 01 89 16 88 29 87 42 8654 86 05 85 15 84 23 83 32 82 39 40 50 89 28 88 43 88 00 87 15 86 29 85 42 84 55 84 07 83 18 82 27 81 37 80 45 50 5 00 87 25 8643 86 00 85 15 84 29 83 45 8258 82 11 81 22 80 34 79 44 78 54 5 00 10 85 25 84 43 84 01 83 17 82 33 81 48 81 02 80 16 79 29 7841 77 53 77 04 10 20 8327 82 45 82 04 81 20 8037 79 53 79 °8 78 23 77 37 76 50 76 03 75 15 20 30 81 29 80 48 80 07 79 25 78 42 78 00 77 15 76 31 75 46 75 00 74 14 73 27 30 40 79 32 78 51 78 11 77 30 7648 76 06 75 23 74 39 73 56 73 10 72 26 71 39 40 50 77 36 76 57 76 17 75 36 74 55 74 14 73 32 72 50 72 06 71 22 70 39 °9 53 50 6 OO 75 40 75 01 74 23 73 42 73 °2 72 21 71 41 70 59 70 17 °9 34 68 51 68 07 6 00 10 73 45 73 06 72 29 7i 49 71 10 70 29 69 50 69 09 68 28 67 46 67-04 66 22 10 20 71 51 71 13 70 36 °9 57 69 18 68 39 68 00 67 20 66 40 6 5 59 65 18 64 36 20 30 69 56 69 18 68 42 68 04 67 26 66 48 66 10 65 31 64 51 64 12 63 32 62 51 30 40 68 01 67 25 66 49 66 11 65 34 64 57 64 19 63 41 63 °3 62 24 61 45 61 06 40 50 66 06 65 3° 64 55 64 19 63 43 63 06 62 29 61 52 61 15 60 37 59 58 59 20 50 7 00 64 11 63 36 63 01 62 26 61 5° 61 15 60 39 60 02 59 27 58 49 58 13 57 34 7 00 10 62 15 61 41 61 08 60 33 59 58 59 23 58 48 58 12 57 38 57 01 56 25 55 48 10 20 60 19 59 45 59 13 58 39 58 05 57 3i 56 57 56 23 55 48 55 12 54 38 54 02 20 30 58 23 57 50 57 18 56 45 56 12 55 39 55 06 54 32 53 59 53 24 52 50 52 16 30 40 56 26 55 54 55 22 54 5i 54 16 53 46 53 14 52 41 52 08 51 34 51 02 50 29 40 50 54 28 53 57 53 26 52 56 52 24 51 53 51 21 5° 49 50 18 49 46 49 13 48 41 50 8 00 52 28 51 58 5i 29 50 59 50 28 49 58 49 27 48 57 48 26 47 54 47 23 46 52 8 OO 10 50 30 50 00 49 32 49 02 48 32 48 03 47 34 47 04 46 35 46 04 45 34 45 03 IO 20 48 29 48 01 47 33 47 04 46 35 46 07 45 39 45 10 44 42 44 12 43 43 43 14 20 30 46 28 46 00 45 33 45 06 44 37 44 1° 43 43 43 15 42 47 42 19 41 52 41 23 30 40 44 24 43 58 43 32 43 06 42 39 42 13 41 47 41 19 40 53 40 26 39 59 39 32 40 50 42 21 41 55 41 31 41 06 40 40 40 14 39 49 39 23 38 58 38 32 38 06 37 40 • 50 9 OO 40 17 39 52 39 28 39 °4 3§ 39 38 15 37 50 37 26 37 02 36 36 36 12 35 47 9 00 10 38 10 37 47 37 24 37 00 36 37 36 14 35 51 35 28 35 04 34 4° 34 17 33 53 10 20 36 °3 35 41 35 19 34 57 34 34 34 12 33 51 33 29 33 06 32 44 32 22 31 59 20 30 33 55 33 34 33 14 32 53 32 31 32 10 31 50 31 29 31 08 30 46 30 25 30 04 30 40 31 46 31 26 31 07 30 46 30 27 30 07 29 47 29 27 29 07 28 48 28 28 28 08 40 50 29 35 29 16 28 58 28 39 28 20 28 03 27 43 27 25 27 07 26 48 26 30 26 12 50 10 OO 27 24 27 06 26 50 26 32 26 14 25 57 25 40 25 22 25 06 24 48 24 31 24 14 10 00 10 25 11 24 55 24 39 24 23 24 07 23 51 23 35 23 19 23 03 22 47 22 32 22 15 IO 20 22 57 22 42 22 29 22 13 21 58 21 44 21 29 21 14 21 00 20 46 20 32 20 17 20 30 20 42 20 29 20 16 20 03 19 49 19 36 19 23 19 09 18 57 IS 43 18 '31 18 17 30 40 18 27 18 15 18 03 17 51 17 39 17 27 17 16 17 03 16 52 16 40 16 29 16 17 40 50 16 11 16 00 15 49 15 39 15 29 15 18 15 °7 14 57 - 14 47 14 36 14 26 14 16 50 11 00 13 54 13 44 13 35 13 26 13 17 13 °8 12 59 12 50 12 41 12 32 12 24 12 14 11 OO 10 11 35 II 28 n 20 II 13 11 05 10 58 10 50 1° 43 10 35 10 28 10 20 10 12 10 20 9 17 9 n 9 05 8 58 8 53 8 47 8 40 8 35 8 29 8 23 8 17 8 11 20 30 6 58 6 53 6 49 6 44 6 40 6 35 631 6 26 6 22 6 17 6 13 6 08 30 40 4 39 4 36 4 33 4 3° 4 27 4 24 4 21 4 18 4 15 4 12 4 09 4 06 40 50 2 20 2 18 2 17 2 15 2 13 2 12 2 10 2 09 2 08 2 06 2 04 2 02 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 1-J 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East tif the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682—02— 15 226 AZIMUTH OR TRUE BEARING. LATITUDE 55°. DECLINATION— 3AME NAME AS— LATITUDE. LATITUDE 55°. Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / ' / / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 48 173 33 173 17 172 59 172 37 172 14 171 46 171 15 170 38 169 53 169 00 158 34 167 54 IO 20 167 41 167 13 166 40 166 04 165 24 i°4 39 163 47 162 47 161 37 160 14 156 33 20 30 161 44 161 02 160 17 159' 26 158 29 157 24 156 n 154 47 153 " 151 19 149 07 146 28 30 40 156 00 155 °7 154 'o 153 06 151 55 150 36 149 07 147 26 145 3i 143 '9 140 47 137 49 40 50 150 31 149 3° 148 23 147 « 145 48 144 18 142 37 140 45 138 39 136 15 133 33 130 28 50 1 00 145 21 144 12 142 58 HI 38 140 09 138 31 136 43 134 44 132 32 130 04 127 19 124 15 1 00 10 140 29 139 15 137 56 I36 29 134 55 133 14 131 22 129 19 127 06 124 38 121 54 "8 55 10 20 195 54 134 37 133 15 131 45 130 09 128 25 126 32 124 28 122 16 »9 51 117 12 114 20 20 30 131 37 130 17 128 53 127 23' 125 45 124 01 122 07 120 07 "7 57 115 35 113 °3 no 19 30 40 127 36 126 17 -124 51 123 20 121 42 119 59 118 08 116 09 114 02 in 46 109 21 106 46 40 50 123 52 122 32 121 06 119 36 "7 59 116 17 114 28 112 33 no 31 108 21 106 02 103 34 50 2 00 120 20 118 59 "7 35 116 05 114 31 112 51 III 06 109 14 107 17 105 11 103 00 100 40 2 00 10 117 02 115 42 114 19 112 5 1 in 18 109 41 107 59 106 12 104 18 102 19 100 13 98 01 10 20 "3 54 112 36 III 15 109 49 108 18 106 44 i°5 05 103 22 101 33 99 38 97 39 95 34 20 30 no 57 109 40 108 20 106 57 105 29 103 57 102 22 100 42 98 58 97 08 95 15 93 1° 30 40 108 09 106 53 105 35 104 14 102 48 101 20 ■ 99 48 98 12 96 33 94 48 92 59 91 06 40 50 105 30 104 15 102 59 101 40 100 18 98 52 97 23 95 5° 94 14 92 34 90 51 89 04 50 3 00 102 57 101 -45 100 30 99 H 97 53 96 30 95 05 93 35 92 04 90 28 88 49 87 06 3 OO 10 100 30 99 20 98 08 96 53 95 35 94 15 92 52 91 27 89 58 88 25 86 51 85 13 10 20 98 09 97 00 95 50 94 38 93 23 92 05 9° 45 89 23 87 58 86 29 84 58 83 24 20 30 95 53 94 46 93 39 92 29 91 16 90 00 88 42 87 23 86 02 84 3° 83 09 81 39 30 40 93 42 92 37 91 31 90 22 89 12 87 59 86 44 85 27 84 09 82 47 81 23 79 56 40 50 91 36 90 32 8927 88 21 87 12 86 00 84 50 83 36 82 19 81 00 79 4" 78 16 50 4 00 89 32 88 30 87 27 86 23 85 16 84 09 82 58 81 46 80 33 79 16 78 00 76 39 4 OO 10 87 30 86 30 85 29 84 27 83 23 82 16 81 08 79 59 7848 77 35 76 20 75 03 10 20 85 33 84 34 83 35 82 34 81 31 80 27 79 22 78 15 77 06 75 55 74 42 73 28 20 30 8338 82 40 8t 42 80 43 79 43 78 40 77 37 76 32 75 25 74 16 73 07 7i 55 30 40 81 44 80 49 79 52 78 55 77 56 76 55 75 53 74 5° 73 46 72 40 71 32 70 23 40 50 79 52 78 58 78 04 77 °7 76 10 75 " 74 11 73 1° 72 08 71 04 69 59 6852 50 5 00 78 01 77 09 76 16 75 22 74 26 73 28 72 30 71 31 70 30 69 28 68 26 67 21 5 00 10 76 13 75 21 74 30 73 37 72 43 71 47 70 50 % 5 3 68 18 6854 67 54 66 53 °5 51 IO 20 74 26 73 35 72 44 7i 53 71 01 70 07 69 12 67 20 66 21 65 22 64 22 20 30 72 39 7i 5° 71 01 70 10 69 19 68 27 °7 33 66 39 65 44 64 47 63 50 62 51 30 40 70 53 70 04 69 16 68 28 67 38 66 47 65 56 °5 03 64 10 63 15 62 19 61 22 40 50 69 08 68 2t 67 35 66 47 65 59 65 08 64 18 63 27 62 36 61 42 60 48 59 53 50 6 OO 67 23 66-37 65 51 65 05 64 18 63 30 62 41 61 51 61 02 60 09 59 18 58 24 6 00 10 6538 64 54 64 09 63 24 62 39 61 51 61 03 60 15 59-28 58 37 57 47 56 54 IO 20 63 55 63 11 62 28 61 44 60 59 60 14 59 27 58 40 57 53 57 °5 56 16 55 26 20 ■ 30 62 10 6l 27 60 46 60 03 59 20 5836 57 50 57 °5 56 20 55 32 54 44 53 56 30 40 60 26 59 44 59 "3 58 22 57 39 56 56 5° 14 55 29 54 45 53 58 53 14 52 28 40 50 58 41 58 01 57 22 56 41 56 00 55 19 54 36 53 53 53 10 52 26 51 42 50 57 50 7 OO 56 56 56 17 55 39 54 59 54 20 53 39 5258 52 17 51 36 50 52 50 09 49 26 7 00 io 55 12 54 34 53 57 53 19 52 40 52 00 51 20 50 41 50 01 49 19 48 37 47 55 10 20 53 27 52 50 52 13 51 37 50 59 50 21 49 42 49 °4 48 25 47 44 47 04 46 23 20 30 51 4° 51 05 50 30 49 54 49 18 48 41 •48 04 47 27 46 49 46 1.0 45 31 44 51 30 40 4 § 5 § 49 20 48 46 48 11 47 37 47 01 46 25 45 49 45 12 44 34 43 58 43 18 40 50 48 08 47 35 47 02 46 29 45 54 45,20 44 45 44 1° 43 35 4258 42 23 41 46 50 8 00 46 20 45 48 45 16 44 44 44 12 43' 39 43 05 42 3' 41 57 41 22 40 47 40 12 8 00 IO 44 34 44 02 43 3i 43 00 42 28 41 56 41 24 40 52 40 19 39 45 39 12 3838 IO 20 42 44 42 15 41 45 41 15 40 45 40 14 39 43 39 12 38 41 38 08 37 36 37 03 20 30 4o 55 40 27 39 58 39 27 39 °° 3830 38 01 37 31 37 01 36 3° 35 59 35 28 30 40 39 "5 3 ? 3 £ 38 10 37 42 37 15 36 46 3° 17 35 49 35 20 34 51 34 22 33 52 40 50 37 H 36 48 36 22 35 56 35 29 35 02 34 35 34 °8 33 4° 33 12 32 43 32 15 50 9 00 35 22 34 57 34 32 34 07 33 42 33 16 32 50 32 24 31 58 31 31 31 04 30 38 9 00 10 33 3° 33 °6 32 42 32 18 31 54. 31 30 31 05 3 2 4 3 30 16 29 50 29 26 29 00 IO 20 31 37 31 14 30 52 30 29 30 06 29 44 29 19 28 56 28 34 28 10 27 45 27 22 20 30 29 43 29 21 29 00 28 39 28 17 27 55 27 34 27 12 26 50 26 27 26 02 25 42 30 40 27 48 27 28 27 08 26 48 26 28 26 07 25 47 25 26 25 06 24 44 24 24 24 02 40 50 25 53 25 33 25 15 24 56 24 37 24 18 23 59 23 41 23 21 23 01 22 41 22 22 50 10 00 23 56 23 39 23 22 23 05 22 47 22 30 22 II 21 54 21 36 21 18 21 00 20 41 10- 00 10 22 00 21 43 21 27 21 12 20 55 20 39 20 23 20 06 19 5° 19 33 19 17 18 59 10 20 20 02 19 47 19 33 19 18 19 03 18 49 1833 18 18 18 03 17 48 17 33 17 17 20 30 18 04 17 51 17 38 17 24 17 II 1658 16 44 16 30 16 17 16 03 15 49 15 35 30 40 16 05 15 52 15 41 15 30 15 17 15 05 14 54 14 42 14 29 14 17 14 05 13 52 40 50 14 06 *S 55 13 45 , 13 34 13 24 13 13 13 02 12 52 12 42 12 31 12 20 12 10 50 11 00 12 06 n 57 11 48 " 39 II 29 11 20 n n 11 02 10 54 10 44 10 35 10 25 11 00 10 10 06 9 58 9 51 9 43 9 3° 9 28 9 20 9 '3 9 °5 8 57 8 50 8 42 10 20 8 05 7 59 7 53 7 46 7 41 7 35 7 28 7 23 7 16 7 10 7 04 6 57 20 30 6 04 5 59 5 54 5 50 5 46 5 41 5 3° 5 32 5 27 5 23 5 18 5 14 30 40 4 02 3 59 35 £ 3 53 3 50 3 47 3 45 3 42 3 38 3 35 3 32 3 29 40 50 2 02 2 00 158 1 57 1 55 1 54 1 53 1 51 1 49 1 48 1 46 1 44 50 / 12 00 00 00 00 0,00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from South to "West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 227 AZIMUTH OR TRUE BEARING. LATITUDE 55°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 55°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 58° 59° Hour Angle. h. 10 11 m. oo 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 SO 00 10 20 30 40 50 00 lO 20 30 40 SO 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 180 00 166 28 154 02 J 43 1° 134 21 1 2b 57 120 47 "5 37 III J 3 107 23 104 00 100 59 98 14 95 44 93 24 91 13 89 09 87 12 85 20 83 32 81 48 80 07 78 28 7° 52 75 18 73 44 72 13 70 42 69 12 67 44 66 15 64 47 63 20 61 52 60 25 5858 57 3° 56 03 54 35 53 07 51 4° 50 10 48 41 47 12 45 42 44 « 42 41 41 09 39 36 38 04 36 3° 34 56 33 21 31 46 30 II 28 34 26 57 25 19 23 10 22 02 20 22 18 42 17 02 15 " 13 4° 11 58 10 16 8 34 6 °f 5 08 3 26 I 43 o 00 180 00 164 37 15° 51 139 31 130 14 122 53 "6 55 112 00 107 50 104 13 101 04 98 14 95 4° 93 19 91 °7 89 04 87 08 85 17 83 30 81 47 80 08 78 31 7656 75 24 73 54 72 23 70 55 69 27 68 00 66 34 65 07 63 42 62 17 60 51 59 26 58 01 56 35 55 1° 53 43 52 17 50 51 49 23 47 56 46 28 44 59 43 31 42 01 4° 31 39 00 37 29 35 57 34 24 32 51 31 18 29 43 28 08 26 32 24 56 23 19 21 41 20 04 18 26 16 47 15 °7 13 28 11 47 10 06 8 26 6 46 5 °4 3 23 I 41 o 00 180 00 162 04 146 40 134 34 125 21 118 14 112 36 108 00 104 09 100 50 97 56 ,95 19 92 57 90 47 8845 86 50 85 01 83 17 81 37 79 59 78 25 76 53 75 22 73 54 72 27 ' 71 00 69 35 68 10 66 47 65 23 63 59 62 35 61 12 59 49 58 25 57 °3 55 39 54 16 52 51 51 26 50 01 48 36 47 1° 45 43 44 16 42 49 41 21 39 53 38 23 36 53 35 23 33 51 32 20 30 48 29 15 27 41 26 07 24 33 22 57 21 21 19 45 18 07 16 31 14 53 13 14 11 36 V 57 8 18 6 39 4 59 3 20 1 40 o 00 180 00 158 23 141 01 128 30 "9 32 112 54 107 46 l°3 38 100 II 97 13 94 36 92 16 90 08 88 08 86 17 84 31 82 50 81 13 79 39 78 08 76 39 75 11 73 46 72 22 7° 58 69 35 68 13 66 52 65 3° 64 09 62 48 61 28 60 06 58 46 57 24 56 03 54 41 53 20 51 58 5° 35 49 11 47 48 46 23 44 58 43 33. 42 07 40 41 39 14 37 46 36 17 34 49 33 19 31 49 30 18 28 47 27 15 25 42 24 09 22 35 21 00 19 25 17 5° 16 14 14 39 13 ° 2 II 25 9 47 8 10 6 32 4 54 3 17 I 38 o 00 180 00 152 37 133 12 120 49 112 41 106 51 102 26 98 54 95 57 93 23 91 07 89 04 87 10 85 24 83 44 82 07 80 35 79 05 77 39 76 14 74 5° 73 28 72 07 7° 47 68 08 66 50 65 31 64 13 62 55 61 36 60 18 59 °° 57 41 56 22 55 03 53 43 52 23 51 °3 49 42 48 20 46 58 45 36 44 13 41 49 41 25 39 59 38 35 37 °8 35 41. 34 14 32 46 31 18 29 48 28 18 26 48 25 16 23 44 22 13 20 40 19 07 17 33 15 59 14 24 12 49 II 13 9 38 8 02 6 26 4 50 3 13 I 36 o 00 180 00 142 40 122 12 ill 21 104 42 100 06 9638 93 49 91 27 89 20 87 28 85 43 84 05 82 33 81 04 79 38 78 15. 76 54 75 34 74 16 7258 71 42 70 25 69 09 67 54 66 39 65 24 64 09 62 54 61 38 60 23 59 °7 57 51 56 34 55 17 54 °i 52 43 51 25 50 07 48 47 47 28 46 oS 44 47 43 26 42 03 40 41 39 18 37 54 36 29 35 °4 33 39 32 12 3° 45 29 17 27 48 26 20 24 5° 23 20 21 49 20 18 18 46 17 14 15 42 14 °9 12 35 11 02 9 27 7 53 6 19 4 45 3 °9 I 35 o 00 180 00 123 32 106 57 99 52 95 41 92 43 90 24 88 26 86 42 85°7 83 39 82 15 8055 79 36 78 20 77 °5 75 52 74 39 73 27 72 14 71 04 69 52 68 41 67 30 66 19 65 °7 6356 62 44 61 33 60 20 59 °7 57 54 56 42 55 27 54 12 52 58 51 43 50 26 49 l° 47 53 46 35 45 17 43 58 42 38 41 18 38 36 37 13 35 5° 34 27 33 °3 31 37 30 12 2847 27 19 25 52 24 24 22 56 21 26 19 57 18 27 16 57 15 25 13 54 12 22 10 50 9 18 7 46 6 13 4 39 3 06 I 33 00 8859 87 57 86 56 85 54 84 52 83 51 82 49 81 47 80 45 79 42 78 4° 77 37 76 34 75 31 74 28 73 24 72 20 71 15 70 10 69 06 68 00 66 54 65 48 64 41 63 34 62 27 61 18 60 10 59 °i 57 51 56 41 55 3° 54 18 53 °6 51 54 50 40 49 26 48 12 46 57 45 4i 44 25 43 08 41 5° 4° 31 39 12 37 52 36 32 35 1° 33 49 32 26 31 °3 29 39 28 15 26 49 25 ?+ 23 57 22 30 21 03 19 35 18 07 16 38 15 °9 13 39 12 09 10 38 9 08 7 37 6 06 4 34 3 °3 I 32 00 53 43 68 30 73 4° 75 54 76 51 77 08 77 °3 76 51 76 15 75 4i 75 °° 74 16 73 28 72 36 7i 46 70 53 69 58 69 01 68 04 67'°5 66 06 65 °5 64 °4 63 01 61 59 60 55 59 5i 58 45 57 4° 56 32 55 25 54 17 53 °8 51 58 5° 49 49 37 48 25 47 13 46 01 44 47 43 31 42 16. 41 00 39 44 38 27 37 °8 35 5° 34 3° 33 1° 31 49 30 28 29 05 27 43 26 19 24 55 23 31 22 05 20 39 19 13 17 47 16 19 14 52 13 23 11 56 10 27 8 57 728 5 59 4 29 3 °° 1 30 o 00 00 33 56 52 23 61 25 66 13 68 55 70 26 71 16 7i 39 71 43 71 34 71 16 70 49 70 18 69 42 69 02 68 18 67 33 66 44 65 54 65 01 64 08 63 13 62 17 61 19 60 20 59 21 58 21 57 18 56 16 55 12 54 °8 53 °3 .51 56 5° 49 49 42 48 33 47 23 46 13 45 °2 43 5° 42 38 4i 25 40 10 38 55 37 4° 36 24 35 °7 33 49 32 3° 31 II 29 51 28 31 27 10 25 48 24 25 23 03 21 40 20 15 18 51 17 25 10 00 14 34 13 °8 11 41 10 15 8 47 7 19 5 5i 4 24 2 56 1 28 o 00 00 23 4° 4° 33 50 59 57 22 61 22 6358 65 34 6635 67 10 67 27 67 30 67 22 67 06 66 43 66 14 65 42 65 05 64 25 63 42 62 57 62 08 61 20 60 29 59 35 58 41 57 46 56 48 55 5° 54 51 53 51 52 49 51 47 5° 43 49 38 48 34 47 27 46 20 45 13 44 °3 42 53 41 43 40 32 39 20 38 07 36 53 35 38 34 23 33 °7 31 51 3° 33 29 16 27 57 26 37 '25 17 23 56 22 36 21 14 19 5i 18 28 17 °5 15 41 14 17 12 52 11 27 10 02 8 37 7 II 5 45 4 19 2 53 1 26 o 00 Ii. O 17 45 32 10 42 5° 49 35 54 25 57 45 60 02 61 37 62 40 63 21 63 43 63 52 63 51 63 42 63 25 63 02 62 35 62 03 61 27 60 49 60 07 59 23 >»37 57 49 56 59 56 07 55 14 54 20 53 24 52 27 51 28 50 29 49 28 48 26 47 23 46 20 45 14 44 °9 43 03 41 55 40 46 39 37 38 27 37 16 36 05 34 52 33 39 32 24 31 °9 29 54 28 37 27 21 26 03 24 45 23 26 22 07 20 46 19 26 15 05 16 43 15 21 13 59 12 36 II 13 9 5° 8 26 7 02 5 38 4 14 2 49 I 24 o 00 11 in. OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 SO 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 *o 50 00 lO 20 30 40 SO 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 Tn North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 228 AZIMUTH OR TRUE BEARING. latitude: s 5°. DECLINATION— SAMK NAME AS- -LATITUDE. LATITUDE 55°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. U. in. o / / • / / / / / / / / / h. 111. o 00 00 00 00 00 00 00 00 00 00 00 00 00 10 14 oo 11 24 9 3i 8 05 6 57 6 03 '5 18 4 41 4 °9 3 41 318 10 20 26 10 21 44 18 21 15 43 13 36 11 54 10 27 9 15 8 13 7 20 6 33 20 30 35 45 3° 23 26 05 22 36 19 45 17 ?o 15 19 13 37 12 08 10 50 9 42 30 40 42 56 37 17 32 34 28 34 25 12 22 iS 19 50 17 41 15 49 14 II 12 43 40 50 48 10 42 38 37 48 33 24 29 55 26 43 23 54 21 26 19 15 17 18 15 35 50 1 00 52 00 46 44 41 59 37 44 33 56 30 32 27 3° 24 49 22 24 20 12 18 15 1 OO 10 54 47 49 52 45 19 41 07 37 18 33 5° 30 40 27 49 25 13 22 52 20 44 10 20 56 49 52 14 47 54 43 51 40 06 36 37 33 24 30 28 27 45 25 16 22 59 20 30 58 16 54 01 49 55 46 03 42 24 3858 35 45 32 47 30 00 27 26 25 °3 30 40 59 17 55 19 51 29 47 48 44 16 40 55 37 45 34 46 31 58 29 21 26 54 40 50 59 59 56 17 52 39 49 °9 45 47 42 31 39 25 36 28 33 4° 31 01 28 32 50 2 00 60 24 50 57 53 33 50 13 47 00 43 50 40 49 37 55 35 09 32 31 29 59 2 OO 10 60 37 57 23 54 10 51 00 47 56 44 54 41 58 39 08 36 24 33 47 31 10 IO 20 60 40 57 37 54 36 5i 35 48 39 45 44 42 53 40 08 37 27 34 52 32 22 20 30 60 34 57 42 54 50 5i 59 49 I" 46 22 43 38 40 58 38 20 35 48 33 20 30 40 60 21 57 38 54 56 52 13 49 32 46 51 44 13 4i 37 39 03 36 34 34 oS 40 50 60 02 57 29 54 54 52 19 49 45 47 10 44 37 42 07 39 38 37 11 34 48 50 3 OO 59 39 57 12 54 46 52 17 49 50 47 23 44 56 42 29 40 05 37 42 35 21 3 00 10 59 1° 56 52 54 32 52 10 49 50 47 28 45 05 42 45 40 25 38 06 35 48 IO 20 5838 56 27 54 13 51 58 49 43 47 26 45 09 - 42 53 40 37 38 22 3608 20 30 58 03 55 57 53 49 51 40 49 3i 47 20 45 08 42 56 40 45 38 33 36 23 30 40 57 25 55 24 53 22 51 19 49 15 47 08 45 "I 42 54 40 47 38 39 36 32 40 50 56 44 54 49 52 52 50 53 48 54 46 53 44 5° 42 48 40 44 38 40 36 36 50 4 00 56 01 54 11 52 18 5° 25 48 3° 46 33 44 35 42 36 40 37 3836 36 36 4 00 10 55 16 53 29 51 42 49 52 48 03 46 10 44 16 42 22 40 26 38 28 36 31 IO 20 54 28 52 46 51 t>3 49 18 47 32 45 43 43 54 42 02 40 11 38 18 36 23 20 30 . 53 39 52 01 50 22 48 40 46 59 45 14 43 27 41 4i 39 52 38 03 36 12 30 40 52 48 51 14 49 39 4*53 48 01 46 22 44 41 42 59 41 16 39 31 37 44 35 57 40 50 51 56 50 26 47 19 45 45 44 07 42 28 40 48 39 06 37 24 35 39 50 5 OO 51 02 49 35 48 06 46 35 45 03 43 3° 41 55 40 18 38 39 37 00 35 19 5 00 10 50 06 48 42 47 17 45 49 44 21 42 51 41 18 39 45 38 10 36 34 34 55 10 20 49 09 47 49 46 26 45 02 43 37 42 09 40 40 39 10 3843 37 38 36 04 34 30 20 30 48 12 46 53 45 35 44 13 42 51 41 27 40 01 37 04 35 34 34,01 30 40 • 47 13 45 58 44 4° 43 23 42 03 40 41 39 18 37 54 36 27 35 00 33 3" 40 50 46 13 45 "I 43 46 42 31 41 14 39 55 38 34 37 13 35 50 34 25 32 59 50 6 00 45 11 44 02 42 50 41 36 40 23 39 "7 37 49 36 30 35 09 33 48 32 24 6 OO 10 44 09 43 01 41 52 40 42 39 30 38 17 37 02 35 45 34 28 33 °9 31 48 IO 20 43 <*> 42 01 40 54 39 45 38 37 37 26 36 14 35 00 33 45 32 28 31 11 20 30 42 02 40 58 39 54 38 49 37 42 36 34 35 24 34 13 33 00 31 46 3° 31 30 40 40 56 39 55 38 53 37 5° 36 46 35 40 34 32 33 24 32 13 31 02 29 49 40 50 39 49 38 51 37 52 36 51 35 49 34 45 33 40 32 34 31 26 30 18 29 07 50 7 00 3842 37 46 ' 36 49 35 50 34 50 33 49 32 46 31 42 30 38 29 31 28 23 7 00 10 37 35 36 40 35 44 34 48 33 5i 32 52 31 52 30 50 29 47 28 43 27 37 10 20 36 25 35 33 34 39 33 45 32 50 31 54 30 55 29 57 28 56 27 54 26 51 20 30 35 16 34 25 33 34 32 42 31 49 3° 54 29 58 29 02 28 04 27 05 26 03 30 40 34 05 33 17 32 28 31 37 30 47' 29 54 29 01 28 06 27 10 26 13 25 14 40 50 32 54 32 07 31 20 30 32 29 43 2853 28 02 27 10 26 15 25 21 24 25 50 8 00 31 41 30 57 30 II 29 25 28 39 27 50 27 01 26 11 25 20 24 28 23 34 8 OO 10 30 29 29 46 29 03 28 18 27 34 26 47 26 00 25 13 24 23 23 33 22 /~ IO 20 29 15 28 34 27 53 27 10 26 28 25 44 24 59 24 13 23 27 22 39 21 5j 20 30 28 00 27 22 26 42 26 02 25 21 24 39 23 56 23 13 22 29 21 43 20 56 30 40 26 45 26 08 25 31 24 52 24 14 23 34 22 53 22 12 21 29 20 46 20 01 40 50 25 29 24 55 24 18 23 42 23 06 22 28 21 49 21 10 20 29 19 48 19 07 50 9 00 24 12 23 39 23 06 22 31 21 56 21 20 20 44 20 07 19 29 18 5° iS 10 9 00 io 22 55 22 24 21 52 21 20 20 48 20 13 19 39 19 °3 18 28 17 51 17 13 10 20 21 38 21 08 20 39 20 08 19 37 19 t>5 18 33 18 00 17 26 16 51 16 16 20 30 20 19 19 52 19 24 18 55 18 27 17 57 17 26 1656 16 24 15 51 15 18 30 40 19 01 18 35 18 10 17 42 17 15 , 16 47 16 19 15 50 15 20 14 50 14,19 40 50 17 42 17 18 16 53 16 28 16 03 ' 15 37 15 11 14 44 14 17 13 49 13 20 50 10 00 16 22 16 00 15 37 15 14 14 52 14 28 14 03 13 39 13 13 12 47 12 21 10 00 10 15 02 14 41 14 21 14 00 13 39 13 16 12 54 12 32 12 09 11 45 11 21 IO 20 13 4i 13 23 ' 13 04 12 45 12 25 12 05 11 46 11 25 11 03 10 42 10 20 20 30 12 20 12 03 11 47 II 29 11 12 10 54 10 36 10 18 9 59 9 39 9 !9 30 40 10 59 10 44 10 29 10 14 9 58 9 42 9 26 9 09 8 52 8 36 8 18 40 50 9 37 9 24 9 11 8 57 844 8 30 8 16 8 02 7 47 7 32 7 17 50 11 00 8 15 8 04 7 53 7 42 7 30 7 18 7 06 6 53 6 41 6 28 6 14 11 00 10 20 6 53 6 44 6 34 6 25 6 15 6 05 5 55 5 45 5 35 5 23 5 13 10 5 31 5 23 5 16 5 08 5 °° 4 53 4 44 4 36 4 28 4 19 4 10 20 30 4 08 4 03 3 57 3 51 3 45 3 40 3 33 3 27 3 21 3 15 3 °7 30 40 2 46 2 42 2 38 2 34 2 30 2 27 2 23 2 18 2 14 2 10 2 06 40 50 1 23 1 21 1 19 1 17 1 15 I 13 1 11 1 09 1 07 1 °5 1 03 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour-angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 229 AZIMUTH OR TRUE BEARING. LATITUDE 56°. DECUNATION- SAME NAME AS— LATITUDE- LATITUDE 56°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. m. o / / / / / / / r / / 1 / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 1 So 00 180 00 180 00 180 00 180 00 180 00 180 00 O 00 10 175 42 175 36 175 31 175 25 175 18 175 11 175 °4 174 56 I74~48" 174 38 174 29 174 18 IO 20 20 171 25 171 14 171 03 170 51 170 38 170 25 170 10 169 54 169 38 169 20 169 01 168 39 30 167 10 166 54 16638 166 20 166 02 165 42 165 20 164 58 164 33 164 07 163 39 163 08 30 40 162 59 162 39 162 17 161 54 16*1 30 161 04 160 37 160 07 159 36 159 °2 158 26 157 46 40 50 158 54 158 29 158 02 157 35 157 °5 156 34 156 01 155,25 154 48 154 07 153 24 152 36 50 1 00 154 52 154 24 153 53 153 21 152 48 152 12 151 34 150 53 150 11 149 24 148 35 143 58 147 42 1 OO 10 15° 57 150 26 149 52 149 16 148 39 147 59 147 16 146 31 145 44 144 53 143 °° 10 20 147 10 146 35 145 57 145 18 144 38 143 54 143 °9 142 20 141 29 14° 35 139 36 138 34 20 30 143 29 142 51 142 11 141 30 H° 45 140 00 139 11 138 19 137 25 136 28 135 27 134 23 30 40 139 55 139 15 138 33 137 49 137 03 136 15 135 24 134 3° 133 33 129 53 132 34 131 3° 130 24 40 50 SO 136 29 135 47 135 °4 134 17 133 29 132 39 131 47 13° 52 12853 127 48 126 40 2 OO 133 °9 132 27 131 41 13° 53 130 04 129 13 128 18 127 22 126 23 125 22 124 16 123 08 2 OO 10 "9 57 129 13 126 06 128 26 127 38 126 48 125 55 125 01 124 03 123 03 122 01 120 56 119 48 10 20 126 52 125 19 124 29 123 39 122 47 121 51 120 53 119 54 118 51 "7 46 116 37 20 30 121 53 123 07 122 18 121 28 120 37 "9 45 118 49 117 51 116 52 "5 49 "4 44 "3 37 30 40 120 59 120 13 119 25 "8 35 "7 43 116 49 "5 56 "4 56 113 '57 112 56 in 51 no 45 40 50 118 « 117 26 no 36 "5 47 "4 55 114 02' 113 °7 112 10 in 11 no 10 109 06 108 01 50 3 OO "5 3° 114 43 "3 54 113 04 112 14 111 21 no 26 109 29 108 30 107 31 106 28 105 24 3 00 10 112 5 2 112 06 III 18 no 27 109 37 108 44 107 50 106 54 105 57 104 58 l°3 56 102 52 10 20 no 20 I°9 33 108 46 107 56 107 05 106 14 105 20 104 25 103 *8 102 30 101 29 100 27 20 30 107 52 107 06 106 18 105 29 104 3? i°3 47 102 54 102 00 101 04 100 07 99 °7 98 °7 30 40 105 27 104 42 103 54 103 05 102 16 101 26 100 34 99 4° 98 45 97 49 96 5° 95 5i 40 50 103 oS 102 22 101 34 100 46 ■ 99 58 99 08 98 16 97 23 96 3° 95 34 94 37 93 39 50 4 00 100 49 100 05 99 18 98 30 97 43 96 54 96 °3 95 11 94 18 93 25 92 28 91 32 4 00 10 98 35 97 5° 97 °4 96 17 95 3° 94 41 93 52 93 01 92 09 91 16 90 21 89 26 IO 20 30 20 96 22 95 39 94 54 94 °7 93 21 92 33 91 44 9° 55 90 03 89 12 88 18 87 24 30 94 13 93 3° 92 45 91 59 91 15 90 27 89 39 88 51 88 00 87 °9 86 17 85 25 40 92 06 91 24 90 40 89 55 89 10 88 23 87 36 86 49 S6 00 85 10 84 19 83 27 40 50 90 01 89 19 8836 87 52 87 08 86 22 85 36 84 49 84 01 83 12 82 22 '81 31 SO 5 00 87 57 87 16 8633 85 49 85 06 84 22 83 37 82 50 82 03 81 15 80 26 79 37 5 OO 10 85 55 85 15 84-32 83 5° 83 °7 82 23 81 38 8053 80 07 79 20 78 33 77 45 IO 20 83 54 83 15 82 33 81 51 81 09 80 26 79 42 7858 78 12 77 28 76 41 75 54 20 30 30 81 54 81 15 80 34 79 53 79 12 78 30 77 47 77 °3 76 19 '75 35 74 49 74 03 40 79 56 79 17 78 37 77 56 77 15 76 35 75 52 75 1° 74 26 73 43 7258 72 13 40 50 77 58 77 21 76 41 76 01 75 21 74 40 74 °° 73 18 72 35 71 53 71 10 70 26 SO 6 00 76 01 75 23 74 43 74 °5 73 26 72 46 72 06 71 26 70 44 70 02 69 20 6837 6 OO 10 74 °3 73 27 72 48 72 11 71 32 70 53 7° 13 69 34 69 54 68 13 67 31 66 49 10 20 72 08 7i 31 7° 54 70 17 69 39 69 01 68 23 67 43 67 03 66 24 65 43 65 02 20 30 70 11 69 36 68 59 68 22 67 45 67 08 66 30 65 52 65 13 64 35 63 55 63 16 30 40 68 15 67 40 67 04 66 27 65 52 65 15 6438 64 01 63 23 62 45 62 06 61 28 40 50 56 18 65 44 65 °9 64 33 63 59 63 23 62 46 62 10 61 34 60 56 60 18 59 41 50 7 OO 64 22 63 49 63 14 62 39 62 05 61 29 6° 55 60 19 59 43 59 °8 58 3° 57 54 7 00 10 62 21 61 52 61 18 60 44 60 10 59 36 59 °3 58 27 57 53 57 17 5641 56 07 IO 20 60 27 59 56 59 22 58 49 58 16 57 43 57 °9 5636 56 01 55 28 54 53 54 18 20 30 58 29 57 58 57 26 56 53 56 22 55 5° 55 17 54 44 54 11 53 38 53 °4 52 3° 30 40 56 32 56 00 55 29 54 58 54 27 53 55 53 23 52 52 52 20 51 47 51 14 5° 42 40 SO 50 54 32 54 °2 53 32 53 °2 52 32 52 01 51 29 5° 59 50 28 49 57 49 25 48 53 8 00 52 32 52 03 51 34 51 °4 5° 35 5° °5 49 35 49 °5 48 34 48 04 47 33 47 °3 8 OO io 5° 32 50 04 49 35 49 06 48 38 48 09 47 4° 47 12 46 42 46 12 45 42 45 13 10 20 48 3° 48 03 47 36 47 °7 46 40 46 12 45 44 45 17 44 47 44 20 43 51 43 22 20 30 30 46 28 46 02 45 35 45 °8 44 41 44 15 43 48 43 21 42 54 . 42 27 41 59 41 31 40 44 25 44 00 43 33 43 °8 42 42 42 16 41 5° 41 24 40 58 40 32 40 05 39 39 40 50 42 21 41 57 41 29 41 06 40 42 40 17 39 52 39 27 39 02 38 37 38 11 37 47 50 » OO 4° 15 39 52 39 28 39 °4 38 4° 38 16 37 53 37 29 37 °5 36 4° 36 17 35 53 9 00 10 38 09 37 46 37 24 37 °° 3638 36 15 35 52 35 3° 35 07 34 44 34 21 33 58 IO 20 36 01 35 39 35 18 34 56 34 35 34 14 33 51 33 3° 33 °8 32 47 32 25 32 03 20 30 33 53 33 32 33 11 32 51 32 31 32 10 31 5° 31 3° 31 °9 30 48 30 28 30 08 30 40 3 1 42 31 23 31 04 3° 45 30 26 30 06 29 47 29 28 29 08 28 49 28 30 28 11 40 50 29 32 29 14 28 56 28 38 28 20 28 01 27 43 27 26 27 08 » 25 °6 26 50 26 32 26 14 50 10 OO 27 20 27 °4 26 47 26 30 26 13 25 56 25 4° 25 23 24 49 24 32 24 16 10 00 IO 25 08 24 52 24 37 24 21 24 °5 23 5° 23 34 23 18 23 °4 22 48 22 33 22 17 10 20 22 54 22 40 22 26 22 II .21 57 21 43 21 28 21 14 21 00 20 46 20 31 20 18 20 30 20 40 20 27 20 13 20 00 19 47 19 35 19 22 19 09 18 56 18 43 18 3° 18 18 30 40 18 24 18 13 18 01 17 49 17 38 17 26 17 14 17 °3 16 52 16 40 16 28 16 17 40 50 16 08 15 58 15 47 15 37 15 27 15 16 15 °7 14 57 14 47 14 37 14 27 14 16 50 11 00 13 51 13 42 13 33 13 24 13 15 13 °7 12 58 12 50 12 41 12 32 12 23 12 15 11 00 10 11 33 II 26 11 19 II n 11 04 10 56 10 50 10 42 10 35 10 27 10 21 10 13 10 20 9 T 5 9 10 9 °3 858 8 52 8 46 8 40 8 34 8 28 8 22 8 17 8 11 20 30 6 57 652 6 48 6 43 6 39 6 34 6 30 6 26 6 21 6 17 6J3 6 09 30 40 4 38 4 35 4 32 4 29 4 26 4 23 4 20 4 18 4 15 4 12 4 °9 4 06 40 50 2 19 2 17 2 16 2 15 2 13 2 12 2 10 2 09 2 08 2 06 2 04 2 03 50 13 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO Tn North latltnde when the star is rising or East of the meridian, the tabulated azimuths aTe reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. Tn South latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 230 AZIMUTH OR TRUE BEARING. LATITUDE 56° DECLINATION— SAME NAME AS— I/ATITUDE. LATITUDE 56°. Hour Angle. 11 13 in. 00 10 30 30 40 50 00 10 30 30 40 50 00 lO 30 30 40 50 OO 10 20 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 36° 180 oo 174 06 168 16 162 35 157 °4 151 46 146 44 141 58 137 28 133 13 129 14 125 29 121 56 118 36 115 27 112 26 109 36 I06 53 104 17 101 47 99 23 97 04 94 5° 92 40 18° la! 86 28 84 30 82 34 80 40 78 47 76 55 75 05 73 16 71 27 69 40 °7 53 66 06 64 21 62 35 60 49 59 03 57 17 55 29 53 43 51 56 50 09 48 21 46 32 44 44 42 54 41 04 39 12 37 21 35 28 33 35 31 41 29 47 27 51 2 5.55 23 59 22 01 20 03 18 os 16 05 14 06 12 06 10 06 8 05 6 04 4 03 2 02 00 37° 180 00 173 53 167 51 161 57 156 16 15° 51 145 42 140 50 136 17 132 00 127 58 124 13 120 40 117 21 114 12 III 13 108 23 105 41 103 07 IOO 39 98 I? 96 00 93 47 9i 37 89 33 87 31 85 3i 83 34 81 39 79 47 77 55 76 05 74 16 72 28 7041 68 55 67 09 65 24 63 39 61 54 60 09 58 24 56 39 54 52 •53 07 51 21 49 35 47 49 46 01 44 13 42 25 40 36 3846 36 54 35 03 33 12 31 19 29 25 27 31 25 37 38°! 23 42 21 45 19 49 17 52 15 54 13 56 " 57 9 5« 7 59 6 00 4 00 2 00 00 180 00 173 38 167 22 l6l l6 155 25 149 5° 144 35 139 38 135 01 130 41 126 39 122 53 101 55 99 29 97 08 94 52 92 42 90 34 88 31 86 30 84 33 82 38 80 44 78 52 77 02 75 14 73 26 71 39 69 53 68 09 66 24 64 40 6256 61 12 59 28 57 44 56 00 54 16 52 31 50 47 49 02 47 15 45 29 43 42 41 56 40 07 38 18 36 29 34 39 32 48 3° 57 29 05 27 12 25 18 23 25 21 30 19 35 17 39 15 43 13 46 II 49 9 51 7 53 5 55 3 56 I 58 00 180 00 173 22 166 51 160 31 154 28 148 44 143 22 138 19 133 39 129 17 125 14 121 28 119 21 "7 57 116 01 114 38 112 54 109 56 in 31 108 36 107 08 105 49 IO4 28 103 12 100 42 98 16 95 58 93 44 91 35 89 29 57 28 85 29 83 33 81 39 79 47 77 58 76 09 74 21 72 36 70 50 69 06 67 22 6538 63 55 62 13 60 30 58 47 57 05 55 22 53 38 51 55 50 11 48 27 46 43 44 57 43 12 41 26 39 38 37 52 36 03 34 15 32 25 30 35 28 44 26 53 25 00 23 °7 21 14 19 21 17 27 15 32 13 36 II 40 9 44 7 48 5 51 3 54 I 57 o 00 180 00 173 05 166 16 159 42 153 26 147 32 142 01 13° 55 132 II 127 48 123 43 119 58 116 27 113 " no 06 107 13 104 28 101 53 99 24 97 02 94 45 92 33 90 27 88 23 86 24 84 26 82 32 80 40 78 50 77 01 75 14 73 28 71 43 70 00 68 16 66 35 64 52 63 10 61 29 59 47 5805 56 25 54 42 53 00 51 18 49 36 47 53 46 10 44 25 42 41 40 56 39 10 37 23 35 37 33 49 32 01 3° 13 28 22 26 32 24 42 22 50 20 59 19 06 17 13 15 19 13 25 II 31 9 36 7 42 5 47 3 51 156 00 180 00 172 44 165 37 158 46 152 16 146 11 140 34 135 2 2 130 35 126 10 122 06 118 22 "4 52 in 38 108 36 105 45 103 03 100 30 98 04 95 45 93 30 91 20 89 15 87 14 85 16 83 21 81 29 79 38 77 5° 76 03 74 18 72 33 70 51 67 26 65 46 64 05 62 24 60 44 59 03 57 23 55 43 54 °3 52 22 50 41 49 00 47 18 45 36 43 52 42 09 40 25 38 41 3656 35 1° 33 24 31 37 29 50 28 02 26 12 24 23 22 33 20 43 18 51 17 00 15 07 13 15 II 22 9 29 7 35 5 4 2 348 1 54 o 00 180 00 172 21 164 52 157 43 150 59 144 43 138 58 133 41 128 52 124 27 120 24 116 40 "3 13 no 01 107 02 104 13 101 34 99 °4 96 40 94 23 92 12 90 05 88 02 86 03 84 08 82 15 80 24 7836 76 5° 75 05 73 21 71 38 69 57 68 16 66 36 64 56 63 16 61 37 59 59 58 20 5° 41 55 02 53 23 51 42 50 03 48 24 46 43 45 02 43 19 41 38 39 55 38 12 36 28 34 44 32 59 31 13 29 2 7 27 41 25 52 24 °4 22 16 20 26 18 37 16 47 •14 56 13 05 n 13 9 22 7 3° 5 38 3 45 I 53 o 00 180 00 171 55* 164 01 156 32 149 31 143 °5 137 12 131 51 127 00 122 35 118 33 "4 52 in 28 108 19 105 22 102 37 100 02 97 35 95 15 93 °° 90 52 88 47 86 48 84 51 82 58 81 07 79 19 77 32 75 48 74 05 72 23 70 42 69 02 67 23 65 43 64 06 62 28 60 50 59 13 57 36 55 57 54 20 52 42 51 03 49 24 47 47 46 07 44 27 42 47 41 06 39 25 37 43 36 00 34 17 32 33 30 49 29 04 27 18 25 32 23 46 21 58 20 n 18 22 16 33 H 45 12 54 11 05 9 15 7 24 5 33 3 42 1 51 00 180 00 171 23 I63 02 155 10 147 52 141 13 135 13 I29 48 124 57 120 33 "6 33 112 56 109 35 106 30 103 38 100 57 98 24 96 00 93 44 91 33 89 27 87 27 85 30 83 35 81 45 79 57 78 11 76 27 74 44 73 03 71 23 69 43 68 05 66 27 64 51 63 14 61 37 60 01 58 26 5° 49 55 13 53 36 52 00 50 23 48 46 47 09 45 30 43 52 42 13 40 34 38 53 37 13 35 31 33 50 32 07 30 24 28 40 26 57 25 II 23 26. 21 41 19 54 18 07 16 20 H 33 12 44 K> 56 9 06 7 18 5 29 3 39 I 49 00 180 00 170 48 161 55 153 35 145 59 139 °8 133 03 127 36 122 44 118 23 114 27 no 54 107 37 104 36 101 49 99 11 96 44 94 24 92 12 90 04 88 01 86 04 84 10 82 19 8031 78 45 77 01 75 20 73 39 72 00 70 22 68 45 67 09 65 32 63 57 62 22 60 47 59 12 57 38 56 04 54 28 52 54 51 19 49 42 48 06 46 31 44 54 43 17 41 39 40 02 38 22 36 43 35 °3 33 23 31 41 29 59 28 17 26 35 24 51 23 07 21 23 19 38 17 53 16 07 14 20 12 34 10 46 8 59 7 12 5 24 3 36 46° 180 00 170 04 160 33 151 44 143 49 136 47 130 35 125 08 T2D 19 Il6 02 112 10 108 42 I°5 31 102 36 99 54 97 22 94 59 92 43 90 35 88 31 8633 8438 82 48 81 00 79 15 77 31 75 50 74 11 72 32 7° 56 69 19 67 44 66 09 64 35 63 02 61 29 59 55 58 22 56 49 55 16 53 43 52 10 50 36 49 01 47 26 45 52 44 17 42 41 4i 04 39 28 37 5° 36 12 34 34 32 54 31 15 29 35 27 54 26 12 24 30 22 48 21 OS 19 21 17 38 15 53 14 08 12 23 10 38 7 06 5 19 3 33 1 46 o 00 47° 180 00 169 12 15856 149 35 141 08 134 06 127 51 122 26 117 39 113 29 i°9 45 106 23 103 18 100 30 97 53 95 27 93 09 91 00 88 54 8656 85 01 83 10 81 24 79 38 77 56 76 16 74 37 73 01 71 25 69 50 68 17 66 42 65 II 63 39 62 06 60 35 59 "3 57 32 56 00 54 29 52 57 51 25 49 52 48 20 46 47 45 14 43 39 42 06 40 30 38 54 37 18 35 42 34 05 32 27 30 48 29 10 27 3i 25 5° 24 10 22 28 20 47 19 05 17 22 15 39 13 56 12 13 10 28 8 44 7 00 5 14 3 30 I 45 o 00 Hour Angle. 12 in. 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 30 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 pio 20 30 40 50 OO 10 ;20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 231 AZIMUTH OR TRUE BEARING. LATITUDE 56°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 56°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. in. o / / r / / / / / / / ' 1 Ii. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 00 10 20 30 40 50 l68 07 166 44 i°4 55 162 26 15848 153 °9 143 2° 124 n 88 58 53 °2 33 12 23 °5 10 15° 57 154 30 151 20 147 13 141 39 133 53 122 49 107 22 87 56 68 01 51 37 39 45 20 M6 59 143 51 140 00 135 12 129 08 121 28 in 50 100 08 8653 73 18 60 48 50 12 30 138 23 134 55 13° 49 125 50 120 07 113 10 i°5 °5 95 52 85 51 75 35 65 41 56 40 40 131 02 127 31 123 27 11S 46 "3 24 107 16 100 24 92 51 84 49 7° 34 68 26 60 44 50 1 00 124 47 121 20 117 26 113 04 108 12 102 47 96 52 90 29 8346 76 53 70 01 63 21 1 OO 10 119 26 116 06 112 27 108 24 104 00 99 I" 94 00 88 29 82 44 76 49 70 53 65 02 10 20 114 48 in 39 108 13 104 31 100 30 96 10 91 35 86 44 81 41 76 31 71 17 66 05 20 30 no 44 -107 46 104 35 101 08 97 28 93 34 89 27 85 °7 80 38 76 02 71 23 66 42 30 40 107 08 104 20 101 22 98 II 94 49 91 15 89 10 8731 83 37 79 35 75 27 7i 15 67 01 40 50 103 55 101 17 98 30 95 33 92 26 85 45 82 12 78 32 74 46 7° 56 67 04 50 2 OO 100 58 98 30 95 53 93 °8 90 15 87 14 84 06 80 50 77 28 74 01 70 31 66 58 2 ,00 10 98 17 95 5° 93 3° 9° 55 88 14 85 26 82 32 79 32 76 25 '73 14 70 00 66 42 10 20 95 47 93 35 91 16 8852 86 21 83 44 81 02 7 ? l i 7°58 75 21 72 24 69 23 66 19 20 30 93 27 91 22 89 11 8654 84 33 82 07 79 34 74 17 71 32 68 42 65 51 30 40 91 15 89 16 87 12 8505 82 51 80 33 78 II 75 43 73 12 70 38 °7 59 65 19 40 50 89 ro 87 17 85 20 83 19 81 12 79 °3 7648 74 3° 72 08 69 42 °7 13 64 41 50 3 OO 87 ii 85 24 83 31 81 36 79 37 7» 04 77 35 75 27 73 17 71 °3 68 46 66 25 64 01 3 OO 10 85 16 83 33 81 48 79 58 76 08 74 °7 72 04 69 57 6748 65 34 63 19 10 20 83 26 81 48 80 07 78 22 7° 34 74 43 72 49 7° 53 6852 66 49 64 42 62 34 20 30 81 39 80 06 78 29 76 48 75 °° 73 20 71 32 69 40 67 46 65 49 6348 61 46 30 40 79 56 78 26 7° 53 75 17 73 39 7i 59 70 15 68 29 66 39 64 48 62 52 6° 57 40 50 78 14 76 48 75 19 73 48 72 14 7038 68 58 67 17 65 32 63 46 61 57 60 05 50 4 00 7° 35 74 58 75 12 73 47 72 19 70 49 69 17 67 42 66 05 64 25 62 44 60 59 59 13 58 18 4 OO io 73 39 72 16 7° 51 69 25 67 57 66 26 64 53 63 17 61 40 60 00 10 20 73 22 72 06 70 46 69 26 68 03 66 38 65 10 63 41 62 09 60 36 59 °° 57 23 20 30 71 48 7° 33 69 18 68 00 66 40 65 19 63 54 62 28 61 01 59 31 57 59 56 26 30 40 7° 15 69 03 67 50 66 35 65 18 64 00 62 39 61 16 59 52 58 25 5° 57 '55 27 40 50 68 42 67 33 66 23 65 II 63 56 62 41 61 23 60 03 58 42 57 20 55 55 54 28 50 OO 67 11 66 04 64 56 63 46 62 34 61 22 60 06 58 51 57 32 56 12 54 5° 53 27 5 00 10 °5 39 °4 35 63 29 62 22 61 13 60 03 5851 57 37 56 22 55 °4 53 46 52 26 IO 20 64 09 63 °7 62 03 60 58 59 52 58 43 57 34 5° 23 55 11 53 56 52 41 51 24 20 30 62 39 61 38 60 37 59 34 5« 29 57 25 56 17 55 °9 53 59 5248 51 33 50 20 30 40 6l 09 60 n 59 11 58 11 57 °8 56 °5 55 °° 53 '54 52 46 51 38 5° 27 49 15 40 50 59 39 58 43 57 45 5° 47 55 4° 54 46 53 43 52 39 51 34 5° 27 49 19 48 10 50 6 00 58 10 57 15 5° 19 55 22 54 24 53 26 52 25 5i 23 50 20 49 16 48 10 47 °4 6 OO 10 56 39 55 47 54 52 53 58 53 01 52 05 51 °6 5° °7 49 06 48 05 47 °l 45 57 10 20 55 1° 54 19 •53 27 52 34 51 39 5° 45 49 48 48 51 47 52 46 52 45 51 44 49 20 30 53 4° 52 51 52 00 51 °9 50 16 49 23 48 29 47 33 46 37 45 39 44 39 43 4° 30 40 52 10 51 22 5° 33 49 43 48 52 48 01 47 °9 46 15 45 21 44 25 43 28 42 3° 40 50 5° 39 49 53 49 06 48 18 47 29 46 39 45 48 44 57 44 °4 43 1° 42 16 41 21 50 7 OO 49 08 48 24 47 38 46 51 46 05 45 17 44 27 43 38 42 47 41 55 41 02 40 10 7 OO 10 47 37 4° 53 46 10 45 25 43 58 44 39 43 54 43 °6 42 18 41 29 40 39 39 48 38 57 10 20 46 05 45 24 44 41 43 14 42 29 41 44 40 58 40 n 39 23 38 34 37-45 20 30 44 34 43 53 43 13 42 30 41 48 41 06 40 22 39 37 38 52 3806 37 18 36 31 30 40 43 01 42 22 41 43 41 03 40 22 39 41 38 59 38 16 37 32 3648 36 03 35 17 40 50 41 28 4° 51 4° 13 39 34 38 55 38 16 37 34 36 54 36 12 35 3° 34 46 34 °2 50 8 OO 39 55 39 18 38 42 3804 37 27 3° 49 36 10 35 32 34 51 34 11 33 28 32 46 8 OO 10 38 20 37 46 37 11 3° 35 35 59 35 23 34 45 34 °8 33 3° 32 51 32 II 31 3° 10 20 36 46 36 12 35 4° 35 05 34 30 33 56 33 20 32 45 32 08 31 31 3° 52 3° 14 20 30 35 I' 34 39 34 07 33 34 33 °2 32 28 31 55 31 20 3° 45 30 09 29 33 28 56 30 40 33 34 33 °5 32 34 32 04 31 3i 31 °° 30 28 29 55 29 21 28 47 28 13 27 38 40 50 31 58 31 3° 31 °° 3° 32 30 01 29 31 29 00 28 29 27 57 27 25 26 53 26 19 50 9 OO 30 21 29 54 29 27 28 58 28 31 28 02 27 32 27 03 26 33 26 02 25 31 25 00 9 00 IO 28 44 2§ 18 27 52 27 26 26 58 26 32 26 04 25 37 25 08 24 39 24 09 23 4° 10 20 27 06 26 42 26 18 25 52 25 26 25 01 24 35 24 °9 23 42 23 15 22 47 22 19 20 30 25 27 25 05 24 41 24 18 23 54 23 3° 23 06 22 41 22 16 21 51 21 25 20 58 30 40 23 48 23 27 23 °5 22 43 22 21 21 59 21 36 21 13 20 49 20 25 20 01 19 37 40 50 22 09 21 48 21 29 21 08 20 48 20 27 20 06 19 44 19 22 19 01 18 38 18 15 50 10 00 20 28 20 10 19 52 19 33 19 14 18 55 18 35 18 15 17 55 17 34 17 13 16 52 10 00 IO 18 48 18 31 18 14 17 57 17 39 17 21 17 04 16 45 16 27 16 08 15 49 15 30 IO 20 17 07 16 51 1636 16 20 16 04 15 48 15 31 15 15 14 58 14 41 14 24 14 °7 20 30 15 25 15 12 14 58 14 43 14 29 14 15 14 00 13 45 13 29 13 14 12 58 12 43 30 40 13 44 13 31 13 19 13 °° 12 53 12 40 12 27 12 14 12 00 II 46 11 33 11 IS 40 50 12 02 11 51 11 40 II 29 n 17 n 06 10 54 10 43 10 31 10 19 10 07 9 54 50 11 00 10 19 10 09 10 00 9 5° 9 41 9 31 9 22 9 12 9 01 8 50 8 40 8 3° 11 00 IO 8 37 8 29 8 21 8 13 8 04 7 57 7 48 7 4° 7 32 7 23 7 14 7 06 IO 20 6 53 6 47 6 41 6 34 6 28 6 22 ° 15 6 09 6 01 5 54 5 47 5 4° 20 30 5 « 5 °° 5 01 4 5° 4 52 4 46 4 4i 4 37 4 31 4 26 4 21 4 16 30 40 3 27 3 24 3 21 3 17 3 14 3 " 3 °8 3 °4 3 01 258 2 54 2 51 40 50 1 44 1 42 1 41 1 39 1 37 I 35 1 33 1 32 I 30 1 29 1 27 1 25 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East ; and when the staris setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 232 AZIMUTH OR TRUE BEARING. LATITUDE 56° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 56° Hour Angle. li. O 10 11 12 m. OO 10 30 30 40 50 00 10 20 30 40 50 00 10 30 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 SO OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 60° 61° O 00 17 16 31 26 41 41 48 47 53 4o 57 03 59 24 61 00 62 06 62 48 63 12 °3 23 63 22 63 13 62 57 62 35 62 07 61 3° 61 00 60 23 59 41 58 57 58 11 57 23 56 33 55 42 54 49 53 55 52 59 52 02 51 04 50 04 49 °3 48 01 4° 59 45 55 44 50 43 45 42 39 41 31 40 22 39 13 38 04 3° 54 35 42 34 30 33 17 32 03 3° 49 29 34 28 18 27 01 25 45 62° 8 19 656 5 33 4 10 2 47 1 23 o 00 000 13 35 25 29 34 5° 42 05 47 21 51 12 54 03 56 07 57 3° 5« 39 59 22 59 49 60 03 60 06 60 02 59 49 59 31 59 08 58 40 5809 .57 34 5°56 56 IS 55 32 54 47 51 °o 53 » 52 20 51 28 5° 34 49 39 48 43 47 45 46 46 45 4° 44 45 43 43 42 40 41 3° 40 31 39 24 38 17 37 10 36 01 34 51 33 41 32 31 31 19 30 07 28 54 27 40 26 25 25 11 24 27 23 54 23 09 22 38 21 51 21 22 20 31 20 04 19 12 18 46 17 51 17 27 16 31 16 09 15 10 14 50 13 49 13 30 12 27 12 10 II 04 10 49 9 42 9 29 6 48 5 26 4 04 2 43 I 22 o 00 63° o 00 11 03 21 06 29 36 36 26 41 47 45 53 49 02 51 27 53 15 54 36 55 35 56 17 56 44 56 59 57 05 57 <=3 5° 53 56 39 56 18 55 53 55 24 54 52 54 17 53 39 52 59 52 16 51 31 5° 44 49 56 . 49 °5 48 13 47 20 46 24 45 28 44 31 43 33 42 34 41 33 40 31 39 29 38 24 37 20 3° 15 35 °8 34 °l 32 53 31 44 30 34 29 24 28 12 27 01 25 48 24 34 23 20 22 06 20 52 19 3° 18 20 17 03 15 46 14 3° 13 12 II 54 10 34 9 16 7 57 638 5 18 3 59 2 40 I 20 o 00 64° o 00 9 12 17 47 25 21 31 43 3° 55 41 06 44 26 47 03 49 05 5° 4i 51 53 52 49 53 28 53 54 54 °? 54 1° 54 16 54 08 53 55 53 3° 53 14 52 47 52 18 51 45 •51 08 50 31 49 50 49 06 48 21 47 34 46 46 45 56 45 °3 44 1° 43 1° 42 20 41 23 40 26 39 26 3825 37 24 36 22 35 19 34 14 33 °9 32 03 3° 57 29 48 28 39 27 31 26 20 25 10 23 59 22 47 21 34 20 22 19 08 17 54 16 40 15 24 14 09 12 52 11 37 10 20 9 °3 7 4° 6 29 5 11 3 54 2 3° 1 18 65° o 00 7 48 15 13 21 55 27 45 32 42 36 49 40 12 42 57 45 °9 4° 55 48 19 49 24 50 13 5° 50 51 15 51 3° 51 37 51 36 51 31 51 19 51 01 5° 41 50 16 49 48 49 1° 48 42 48 05 47 26 46 45 46 02 45 1° 44 3° 43 41 42 51 41 58 41 05 40 12 39 i° 38 18 37 20 36 22 35 21 34 21 33 18 32 15 31 11 30 07 29 01 27 54 26 48 25 4° 24 32 23 22 22 12 21 02 19 5i 1838 17 26 16 14 15 01 13 47 12 34 11 19 10 04 8 49 7 34 6 18 5 °3 3 48 2 32 I 16 o 00 66° o 00 6 43 13 08 19 06 24 24 29 02 33 ox 36 22 39 09 41 27 43 21 44 53 46 06 47 03 47 48 48 21 48 44 4858 49 04 49 05 48 59 48 48 48 33 48 12 47 49 47 22 46 52 46 20 45 45 45 07 44 27 43 45 43 02 42 16 41 28 40 40 39 50 3858 38 05 37 II 36 15 35 J 9 34 21 33 22 32 22 31 21 30 20 29 17 28 14 27 09 26 05 24 58 23 52 22 44 21 36 20 28 19 19 18 09 16 58 15 49 14 37 13 25 12 14 II 01 9 48 8 3° 7 23 6 09 4 55 3 42 2 28 I 14 o 00 67° 68° o 00 5 49 11 27 16 44 21 33 25 51 29 37 32 52 35 39 38 00 39 57 41 35 42 55 43 59 44 51 45 3° 46 00 46 20 46 33 46 40 46 39 46 33 4° 23 46 09 45 49 45 27 45 °2 44 33 44 01 43 27 4251 42 13 41 31 40 49 40 05 39 19 38 32 37 42 36 53 36 00 35 07 34 13 33 18 32 21 31 24 30 25 29 26 28 25 27 25 26 22 25 19 24 15 23 10 22 06 21 00 19 53 18 46 17 38 16 30 15 22 14 13 13 °3 " 53 10 43 9 32 8 22 7 11 5 59 4 47 3 35 2 24 I 12- o 00 o 00 5 06 10 04 14 45 19 07 23 °5 2636 29 44 32 26 36 46 38 26 39 50 41 00 4i 57 42 42 43 18 43 44 44 03 44 14 44 19 44 18 44 13 44 03 43 49 43 3° 43 09 42 44 42 17 41 46 41 13 40 38 40 00 39 21 38 39 37 57 37 13 36 26 35 38 34 50 33 59 69° 33 32 07 14 31 19 3° 25 29 28 28 32 27 33 26 34 25 34 24 34 23 32 22 3° 21 27 20 2.3 19 IS 18 13 17 08 16 02 14 55 13 48 12 40 11 33 10 25 9 16 8 07 6 58 5 48 4 40 3 30 2 19 I 10 00 o 00 4 29 8 53 13 t>4 17 00 20 39 23 56 26 52 29 29 31 4° 33 45 35 27 3° 54 38 08 39 08 39 58 40 39 41 09 41 34 41 50 42 00 42 03 42 03 41 57 41 47 41 32 41 14 40 53 40 30 40 02 39 33 39 °2 38 27 37 51 37 13 3° 33 35 51 35 07 34 23 33 3° 32 48 31 59 31 08 3° 17 29 24 28 30 27 36 26 39 25 43 24 45 23 46 22 47 21 47 20 46 19 45 18 42 17 40 16 37 15 32 14 28 13 23 12 18 11 11 10 06 8 59 7 52 S 45 5 38 4 31 3 23 2 16 1 08 o 00 o 00 3 58 7 52 II 37 15 10 18 29 21 32 24 18 26 46 28 59 30 55 32 37 34 1° 35 21 3° 25 37 18 38 02 38 37 39 °° 39 25 39 40 39 48 39 51 39 49 39 43 39 33 39 19 39 02 38 42 70° 38 19 37 52 37 24 36 53 , 39 20 ' 35 44 35 07 34 28 33 48 33 05 32 22 31 36 3° 49 30 02 29 13 28 23 27 31 26 38 25 45 24 50 23 55 22 59 22 01 21 04 20 05 19 05 18 °5 17 05 16 04 IS 02 14 00 12 57 11 54 10 50 9 46 8 4i 7 37 6 32 5 28 4 22 3 17 2 II I 06 o 00 00 3 32 6 59 10 21 13 34 16 35 19 23 21 58 24 18 26 25 28 18 *29 58 31 25 32 41 33 47 34 43 35 29 36 08 3° 39 37 04 37 21 37 33 37 40 37 43 37 40 37 33 37 23 37 1° 3° 52 36 32 36 09 35 44 35 16 34 4° Hour Angle. 33 4° 33 03 32 25 31 47 31 05 30 22 29 38 28,54 28 06 27 18 26 30 25 40 24 49 ^3 56 23 03 22 10 21 14 20 19 19 23 18 25 17 27 16 29 15 3i 14 31 13 31 12 30 11 29 10 28 9 27 8 24 7 22 6 20 5 16 4 13 3 11 2 07 1 04 00 11. 111. 00 lO 20 SO 40 50 1 00 10 20 30 40 50 2 OO 10 20 30 40 50 3 00 lO 20 30 40 50 4 OO 10 20 30 40 50 5 00 lO 20 30 40 50 6 00 lO 20 30 40 50 7 00 10 20 30 40 SO 8 00 10 20 30 40 50 9 00 10 20 30 40 50 10 00 10 20 30 40 50 11 00 10 20 30 40 50 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 233 AZIMUTH OR TRUE BEARING. LATITUDE 57°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 57°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / ' / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 T80 00 180 00 180 00 180 00 180 00 00 10 175 48 175 44 175 38 175 33 '75 27 175 21 175 14 175 07 174 59 174 51 174 42 174 32 10 20 171 38 171 29 171 18 171 07 170 55 170 44 170 3° 170 16 170 01 169 44 169 27 169 08 20 30 167 30 167 16 167 00 166 45 166 28 166 10 165 50 165 29 165 07 164 43 164 18 163 50 30 40 163 26 163 07 162 47 162 26 162 03 161 40 161 14 156 46 160 48 160 19 159 49 159 '5 158 4° 40 50 159 24 159 02 158 38 158 13 157 4° 157 17 156 14 155 39 155 02 154 23 153 41 50 1 OO 155 29 155 03 154 35 154 05 153 34 153 °i 152 26 151 48 151 09 150 27 149 42 148 53 1 00 io 151 39 151 09 150 37 150 04 149 29 148 53 148 13 147 31 146 48 146 01 145 12 144 18 IO 20 147 55 147 22 146 47 146 11 145 33 144 53 144 10 143 25 139 28 142 37 141 47 140 53 139 56 20 30 30 144 18 143 41 143 -04 142 25 141 44 141 01 140 16 138 37 137 44 136 48 135 47 40 140 46 140 08 139 28 138 47 138 04 137 18 136 31 135 41 !34 48 133 53 132 54 131 51 40 50 137 21 136 42 136 00 135 18 J34 33 133 45 132 55 132 03 131 09 130 12 129 12 128 08 50 2 OO 134 04 133 2 2 132 38 131 54 131 08 130 20 129 28 128 35 127 40 126 41 125 40 124 35 2 00 IO 20 30 40 SO 10 130 5 2 130 09 129 25 12S 39 127 52 127 02 126 10 125 17 124 20 I23 1 21 122 19 121 14 20 127 47 127 03 126 18 125 32 124 44 123 53 123 00 122 06 121 09 120 10 119 08 118 03 30 124 47 124 03 123 17 122 30 121 41 120 51 "9 57 119 03 118 06 117 07 116 05 115 01 40 121 53 121 09 120 23 "9 35 118 46 117 55 117 02 116 07 115 10 114 11 113 10 112 06 50 119 06 Il8 21 "7 34 116 46 l'5 57 115 06 "4 13 113 18 112 22 III 24 no 23 I09 19 3 00 116 23 "5 37 114 50 114 02 «3 1.4 112 23 III 30 no 36 109 40 108 42 107 43 106 40 3 00 10 "3 42 112 58 112 12 III 24 no 36 109 45 108 53 ™7 59 107 03 106 06 105 07 104 05 IO 20 III 10 no 25 109 38 108 51 108 02 107 12 106 21 105 27 104 32 103 36 102 38 101,38 20 30 40 50 30 108 40 i°7 55 107 09 106 22 105 33 104 44 103 53 103 01 102 06 IOI II 100 13 9 I *i 40 106 14 105 29 104 44 103 57 103 09 102 20 101 29 100 37 99 44 98 50 97 54 96 56 50 103 52 103.07 102 22 101 35 100 48 100 00 99 10 98 19 97 27 9° 33 95 38 94 42 4 00 l°l 33 100 49 100 04 99 18 98 31 97 44 96 54 96 04 95 13 94 20 93 27 92 31 4 00 IO 20 30 ► 40 50 10 99 16 98 32 97 48 97 °3 96 17 95 3° 94 41 93 52 93 01 92 10 91 17 90 22 20 97 03 96 19 95 35 94 51 94 06 93 20 92 31 9' 43 90 53 90 03 89 11 88 17 30 94 51 94 08 93 25 92 42 91 57 91 10 8° 24 89 37 88 49 ! 75 f 87 08 86 15 40 92 43 92 01 91 17 90 34 89 50 89 05 88 19 87 32 86 45 85 56 85 07 84 15 50 9° 35 89 54 89 12 88 28 87 45 , 87 01 86 16 8530 84 43 83 55 83 07 82 17 5 00 88 29 87 48 87 07 86 25 85 42 84 58 84 14 83 29 82 44 81 57 81 09 80 21 5 OO 10 86 25 85 45 85 04 84 22 8341 82 58 82 15 81 30 80 46 80 00 79 14 78 26 IO 20 84 23 83 43 83 03 82 22 81 41 81 02 80 19 79 33 78 49 78 05 77 19 76 32 20 30 30 82 21 81 42 81 02 80 22 79 42 79 °I 78 19 77 36 76 53 76 09 75 25 74 40 40 80 20 79 43 79 °3 78 24 77 44 77 °4 76 23 75 40 74 58 74 15 73 33 72 48 40 50 50 78 22 77 44 77 06 76 27 75 47 7508 74 28 73 46 73 05 72 24 71 41 70 58 6 00 76 22 75 45 75 °7 74 29 73 5i 73 12 72 33 71 53 71 12 70 31 69 50 69 08 6 00 10 20 IO 74 23 73 47 73 °9 72 32 7i 55 71 16 70 38 68 06 69 20 S 39 67 59 67 17 20 72 26 71 49 71 13 70 37 70 00 69 23 68 45 67 27 66 49 66 10 65 29 30 70 27 6 9 52 69 16 68 41 68 04 67 28 6651 66 13 65 36 6458' 64 19 63 40 30 40 68 29 66 31 67 55 67 20 66 44 66 09 65 34 6458 64 21 63 44 63 07 62 29 61 51 40 50 65 57 65 24 64 49 64 14 63 39 63 04 62 28 61 52 61 16 60 40 60 02 50 7 00 64 34 6 2 35 64 00 63 27 62 53 62 19 61 46 61 10 60 36 60 01 59 25 58 5° 58 13 7 00 10 62 02 61 30 60 56 60 24 59 50 59 17 58 43 58 09 57 34 57 00 56 23 10 20 30 40 50 20 60 36 60 05 59 33 59 00 58 29 57 55 57 23 56 50 56 17 55 43 55 10 54 34 30 58 38 58 07 57 3° 57 04 56 32 56 01 55 29 54 57 54 25 S3 52 53 19 52 45 50 56 40 56 38 56 08 55 37 55 07 54 36 54 05 53 34 53 03 52 32 52 00 51 28 50 54 38 54 09 53 39 53 09 52 4° 52 09 51 39 51 09 50 38 50 08 49 38 49 05 K 00 52 3° 50 35 48 33 52 08 51 39 51 10 50 42 50 13 49 43 49 14 48 45 48 15 47 45 47 15 H 00 10 20 30 40 10 50 08 49 40 49 " 48 43 48 15 47 48 47 19 46 50 46 22 45 53 45 23 20 48 06 47 39 47 12 46 45 46 17 45 5i 45 23 44 56 44 27 44 00 43 31 30 46 30 46 04 45 38 45 12 44 46 44 19 43 53 43 26 43 00 42 33 42 06 41 39 39 46 40 44 26 42 21 44 01 43 35 43 1° 42 45 42 20 41 54 41 29 41 03 40 37 40 12 50 41 57 41 32 41 08 40 44 40 20 39 56 39 31 39 06 38 42 38 18 37 53 50 9 00 40 15 39 5 1 39 28 39 °4 38 41 38 19 37 56 37 32 37 09 36 46 36 22 35 57 9 00 10 IO 38 08 36 00 33 51 31 41 29 30 37 45 37 23 37 01 36 39 36 17 35 55 35 32 35 10 34 48 34 26 34 03 20 35 38 35 18 34 56 34 36 34 15 33 54 33 33 33 " 32 51 32 29 32 08 20 30 30 33 31 31 22 29 13 33 I0 32 51 32 31 32 11 31 5! 31 32 31 11 30 51 30 31 30 11 40 31 °3 30 44 30 26 30 06 29 48 29 29 29 10 28 52 28 32 28 13 40 50 50 28 54 28 37 28 19 28 01 27 45 27 26 27 09 26 52 26 34 26 16 IO OO 27 18 25 "5 22 52 20 37 18 21 27 01 26 45 26 29 26 12 25 56 25 40 25 23 25 07 24 50 24 35 24 18 10 00 10 20 24 49 22 38 24 34 22, 23 24 19 22 09 24 04 21 54 23 50 21 42 23 34 21 28 23 19 21 14 23 °4 21 01 22 49 20 47 22 34 20 34 22 19 20 19 10 20 30 40 30 20 24 20 12 19 59 19 47 19 34 19 22 19 09 18 56 18 44 16 40 18 31 16 29 18 19 16 18 40 18 10 17 59 17 48 17 37 17 25 17 14 17 02 16 52 50 16 05 15 56 15 46 15 36 15 26 15 l6 15 06 14 56 14 46 14 36 14 26 14 17 50 11 OO 10 , 20 30 13 49 11 32 9 '4 656 4 37 2 19 00 13 40 II 24 9 08 6 51 4 35 2 17 00 13 31 II 17 9 02 6 47 13 24 II 10 8 57 6 42 13 15 II 03 8 51 6 39 13 07 10 56 8 46 6 35 12 58 10 49 8 40 6 29 12 49 10 42 8 34 6 25 12 40 10 34 8 28 6 21 12 32 10 28 8 22 6 17 12 24 10 20 8 17 6 13 12 15 10 12 8 11 6 09 11 OO IO 20 30 40 50 12 00 2 16 00 4 28 2 14 00 4 26 2 12 00 4 23 2 11 00 4 20 2 10 00 4 17 2 08 00 4 15 2 07 00 4 n 2 06 00 4 09 2 04 00 4 06 2 02 00 40 50 12 00 t v„ik l.tihwio ,„t.n the «tar is risine or 1 East of the meridian, the tabulated azimuths are reckoned from North to East; and when thenar faS&jSrwSt olfhe mTridfan, the tabulated azimuths are reckouedfrom North to West. t c:.rt. 1 *it„,i,. „t M the star is risine or East of the meridian, the tabulated azimuths are reckoned from South to East; and wh entlT^Jtt^sor^to^%S^Z the tabulated azimuths are reckoned from South to West., When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. ^ 234 AZIMUTH OR TRUE BEARING. LATITUDE 57°. DECLINATION— SAME NAME AS— LATITUDE- LATITUDE 57°. Hour Angle* 10 00 10 20 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 00 10 20 30 40 50 OO 10 30 30 40 50 00 10 30 30 40 50 00 10 20 30 40 50 OO 10 30 30 40 50 00 lO 30 30 40 50 00 10 30 30 40 50 00 10 30 30 40 50 00 36° 80 oo 74 22 6847 63 20 58 01 52 55 48 01 43 20 38 55 34 44 30 46 27 01 23 28 20 07 16 55 13 53 11 00 08 15 05 36 03 03 00 36 98 14 95 57 93 43 91 34 89 27 87 24 85 23 83 24 81 27 79 31 77 37 75 46 73 54 72 03 70 14 68 25 6636 64 48 63 00 6: 12 59 25 57 37 55 48 54 00 52 12 50 23 48 34 46 44 44 54 43 °4 41 12 39 2b 37 28 35 34 33 41 31 46 29 51 27 54 25 59 24 01 22 03 20 06 18 06 16 06 14 07 12 06 10 07 8 06 6 05 4 03 2 02 o 00 37° 180 00 174 10 168 25 162 47 157 19 152 05 147 05 142 20 137 50 133 36 129 36 125 5° 122 17 "855 "5 44 112 43 109 51 107 07 X04 29 101 57 99 32 97 II 94 56 92 44 S|f 86 28 84 29 82 30 80 35 7841 7648 74 58 73 07 71 18 69 30 67 41 65 54 64 07 62 20 60 34 58 47 57 00 55 13 53 26 51 39 49 51 48 03 46 14 44 25 42 35 40 44 38 54 37 03 35 10 33 18 31 25 29 3° 2 7 35 25 41 23 45 21 48 19 52 17 54 15 56 13 58 II 58 9 59 8 00 6 00 4 00 2 00 00 38° 180 00 173 58 168 00 162 11 156 33 151 l° 146 04 141 13 136 41 132 24 128 21 124 35 121 01 "7 41 H4 30 III 30 108 39 105 56 103 20 100 50 98 26 96 07 93 52 91 42 89 36 «7 32 85 31 83 33 81 36 79 43 77 5° 75 58 74 08 72 19 70 31 68 44 39° 66 57 66 11 65 11 64 27 °3 25 62 43 61 40 60 57 59 53 59 13 58 08 57 29 56 22 54 36 52 50 51 04 49 17 47 3° 45 43 43 55 42 06 40 17 38 28 36 37 34 47 32 55 31 °3 29 10 27 16 25 22 23 28 21 33 19 37 17 4' 15 44 13 47 II 50 9 52 7 *$ 5 56 3 57 I 58 o 00 180 00 173 44 167 32 161 31 155 43 150 11 144 58 140 02 135 26 131 05 127 03 123 16 119 42 116 22 113 12 no 13 107 24 104 42 102 07 99 4° 97 17 95 00 92 47 90 39 88 34 86 31 84 32 82 35 80 41 7848 76 57 75 °° 73 18 7i 31 69 44 67 57 40° 55 44 53 59 52 14 50 29 48 43 46 57 45 11 43 25 41 37 39 49 38 00 36 II 34 22 32 32 30 41 28 49 26 57 25 04 23 11 21 17 -'9 23 17 28 15 32 13 38 n 41 9 45 7 48 5 52 3 54 I 57 o 00 180 00 173 28 167 01 160 48 154 48 149 06 143 45 138 45 134 04 129 42 125 38 121 51 118 18 114 58 in 51 108 53 106 05 103 25 100 53 98 27 96 07 93 51 91 41 89 33 87 31 85 3° 83 33 81 37 79 44 77 52 76 °3 74 14 72 27 70 40 68 55 67 n 65 26 63 42 61 59 60 15 58 32 56 49 55 °6 53 21 51 38 49 54 48 09 46 25 44 39 42 54 41 07 39 21 37 33 35 45 33 57 32 08 30 15 28 29 26 37 24 46 22 54 21 01 19 09 17 15 15 21 13 27 II 33 9 38 7 42 5 47 1 56 o 00 41° 173 11 166 28 159 59 153 46 147 56 142 27 137 21 132 37 128 14 124 09 120 22 116 49 113 32 no 25 107 30 104 44 102 07 99 36 97 13 94 54 92 41 90 32 88 26 86 26 84 27 82 31 80 38 78 47 7656 75 °8 73 21 71 35 69 51 68 06 66 23 64 40 62 57 61 15 59 33 57 51 56 09 54 27 52 45 51 °2 49 19 47 3° 45 52 44 08 42 23 40 38 38 52 37 07 35 20 33 32 31 45 29 57 28 08 26 19 24 28 22 37 20 46 18 55 17 03 15 11 13 17 II 24 9 3i 7 37 5 43 3 49 I 54 o 00 43° 180 00 172 5° 165 50 159 04 152 39 146 37 141 01 135 49 131 °3 126 38 122 33 118 46 "5 15 hi 59 108 56 106 03 103 18 100 44 98 16 95 54 93 38 91 27 89 21 87 18 85 19 83 23 81 29 79 37 77 47 75 59' 74 13 72 27 70 42 69 00 67 16 65 35 °3 53 62 11 60 31 58 5° 57 08 55 28 53 47 52 06 50 25 48 43 47 °I 45 18 43 35 41 53 40 08 38 25 36 39 34 54 33 08 31 21 29 35 27 47 25 59 24 10 22 21 20 31 18 41 16 50 14 59 13 °7 11 15 9 24 7 31 5 38 3 46 I 53 o 00 43° 44° 45° 180 00 172 28 165 06 158 03 151 22 145 09 139 25 134 10 129 20 124 53 120 49 "7 04 113 36 no 21 107 20 104 30 101 50 99 18 96 52 94 33 92 19 90 12 88 08 86 07 84 10 82 15 80 23 78 33 76 46 75 0° 73 15 71 30 69 48 68 06 66 25 64 45 63 04 61 24 59 45 58 05 5° 25 54 4° 53 °7 51 27 49 47 48 06 46 25 44 45 43 03 41 21 39 38 37 55 36 II 34 27 32 42 30 57 29 12 27 26 25 38 23 51 22 04 20 14 18 26 1° 37 14 47 12 57 II 07 9 16 7 25 5 34 3 43 I 51 00 180 00 172 03 164 16 156 53 149 56 143 32 137 4i 132 20 127 28 123 02 118 59 115 16 in 50 108 40 105 42 102 54 100 17 9 V 48 95 25 93 °9 88 S4 84 53 82 59 81 07 79 18 77 29 75 44 73 59 72 16 70 34 6854 67^13 °5 33 63 54 62 16 60 37 58 59 57 20 55 43 54 05 52 26 50 47 49 °9 47 29 45 50 44 1° 42 30 40 49 39 °8 37 26 35 44 34 01 32 17 30 34 28 49 27 04 25 19 23 32 21 46 19 59 18 12 16 24 14 35 12 47 10 58 9 09 7 20 5 29 3 40 I 50 00 180 00 171 32 163 19 155 33 148 18 141 42 135 44 130 19 125 26 121 01 117 00 113 21 46° 109 57 100 50 103 57 101 13 98 39 96 14 93 55 91 42 §9 35 87 32 85 34 83 38 81 46 79 56 78 09 76 23 74 4° 72 57 71 16 69 35 67 57 66 18 64 40 63 03 61 26 59 48 58 12 56 35 54 58 53 22 51 45 5° 07 48 30 46 52 45 13 43 35 41 56 40 16 3836 3° 57 35 1° 33 34 31 51 30 09 28 27 26 43 24 5» 23 13 21 29 19 43 17 57 16 11 14 24 12 37 10 49 9 02 7 13 5 25 3 37 1 48 00 17° 57 162 12 154 00 146 28 139 4° 133 33 128 07 123 15 118 52 "4 54 in 18 107 59 l°4 57 102 07 99 27 9658 94 36 92 22 90 12 88 08 86 09 84 14 82 21 80 31 78 44 76 59 75 16 73 33 7i 55 7" 15 6837 66 59 65 23 63 46 62 10 60 35 58 59 57 25 55 49 54 14 52 39 51 03 49 27 47 5° 46 15 44 38 43 00 41 22 39 45 38 06 36 27 34 47 33 07 31 26 29 45 28 03 26 21 24 38 22 54 21 11 19 26 17 42 15 57 14 12 12 26 10 40 8 54 7 07 5 21 3 34 1 46 00 180 00 170 15 160 53 152 12 144 19 137 20 131 08 125 39 120 50 116 29 112 37 109 06 105 53 102 55 100 11 97 36 95 11 .92 54 90 44 88 39 8638 84 42 82 50 81 00 79 14 77 29 75 47 74 06 72 27 70 49 69 11 67 35 66 01 °4 25 62 51 61 17 59 43 58 09 5636 55 02 53 27 51 54 50 20 48 46 47 n 45 35 44 00 42 25 40 47 39 12 37 34 35.56 34 18 32 39 30 59' 29 20 27 4° 25 59 24 17 22 36 2° 53 19 10 17 27 15 44 14 00 12 16 10 31 8 46 7 02 5 16 3 31 1 45 00 Hour Angle. li. O 10 11 13 111. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- a-n* when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. *■*■«"., «" u In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to Wast- anri when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour an^lp »nH tv.» supplement of the tabulated azimuth is to be taken for the required true bearing. gle ana tne 235 AZIMUTH OR TRUE BEARING. LATITUDE 57°. DECWNATION- -SAME NAME AS— LATITUDE. IiATITUDE 57°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. m. o / / / / / / / / / / / / Ii. m. 00 iRo 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 lO 169 23 159 18 168 20 167 00 165 13 162 47 159 15 153 41 144 00 124 52 8857 52 18 32 28 10 20 30 157 22 154 56 151 51 147 48 142 17 134 36 P23 28 107 49 87 54 67 29 5° 51 20 150 04 147 31 144 25 140 37 135 51 129 47 122 05 112 21 100 26 8651 72 55 60 08 30 40 14'- 51 138 57 135 31 131 27 126 34 120 43 "3 43 105 29 96 04 85 48 75 16 65 07 40 50 134 4° 131 36 128 06 124 03 119 21 "3 55 107 44 100 43 93 00 84 45 76 17 67 58 50 1 00 128 25 125 21 121 53 "7 59 113 35 108 38 103 09 97 °6 90 35 83 42 76 38 69 35 1 00 10 122 57 119 58 116 39 112 56 108 52 104 22 99 29 94 12 88 33 82 39 76 35 79 29 10 20 118 11 "5 17 112 07 108 40 l°4 53 100 49 96 25 91 43 8645 85 08 81 35 76 17 70 55 20 30 "3 56 in 11 108 II 104 58 101 29 97 44 93 46 89 33 80 32 75 49 71 01 30 40 no 10 107 32 104 43 101 42 98 29 95 03 91 25 87 36 83 37 79 28 75 14 7" 54 40 50 106 46 104 16 101 36 98 47 95 47 92 37 89 18 85 48 82 10 78 24 74 32 7° 37 50 2 00 103 39 101 iC 98 46 96 08 93 20 90 24 87 20 84 07 80 47 77 20 73 48 70 12 2 OO lO 100 47 98 33 96 II 93 4i iK ° 5 88 59 88 21 85 3° 82 32 79 26 76 16 73 °° 69 40 10 20 98 09 96 01 93 47 91 26 86 25 8346 81 00 78 08 75 11 72 10 69 04 20 30 95 40 93 39 91 32 89 19 87 01 84 37 82 07 79 32 76 52 74 °6 7i 17 68 23 30 40 93 21 91 25 89 25 87 19 85 °9 82 52 80 32 78 06 75 36 73 °2 70 23 67 41 40 50 91 08 89 iS 87 24 85 25 83 21 81 13 79 01 76 43 74 22 7i 56 69 28 66 55 50 3 00 89 02 87 17 85 28 83 35 81 38 79 36 77 31 75 22 73 08 70 51 68 30 66 06 3 00 10 87 01 85 21 83 37 81 49 79 57 78 02 76 04 74 00 71 54 69 45 67 31 65 15 IO 20 85 °5 83 29 81 50 80 07 78 21 76 31 74 38 72 41 70 41 68 38 66 32 64 23 20 30 83 13 81 41 80 05 78 27 76 46 75 01 73 14 71 22 69 29 67 32 65 32 63 29 30 40 3l 24 79 55 78 24 76 50 75 14 73 33 7i 5° 70 os 68 16 6625 64 31 62 34 40 50 79 38 7» 13 76 46 75 15 73 43 72 07 70 29 68 47 67 04 65 17 63 28 fi l 37 50 4 00 77 55 76 33 75 °9 73 42 72 13 70 41 69 08 67 31 65 52 64 10 62 25 60 39 4 OO 10 76 12 74 54 73 33 72 10 70 45 69 17 67 46 66 14 64 39 63 01 61 22 59 4° IO 20 74 33 73 18 7i 59 7° 39 69 17 6752 66 27 6458 63 26 61 53 60 17 5 8 39 20 30 72 55 71 41 70 27 69 09 67 51 66 29 65 06 63 40 62 13 60 44 59 I? 57 38 30 40 71 18 70 08 68 55 67 41 66 25 65 07 63 48 62 25 61 08 60 59 59 48 59 35 58 06 56 36 40 50 69 42 6834 67 24 66 12 65 00 63 45 62 27 •38 25 57 0° 55 33 50 5 OO 68 07 67 01 65 54 64 45 63 34 62 22 61 08 59 52 58 34 57 14 55 51 54 29 5 00 10 6633 65 30 64 24 63 18 62 10 60 59 59 49 58 35 57 20 56 03 54 44 53 24 IO 20 65 00 63 59 62 55 61 50 60 45 59 38 58 29 57 18 56 06 54 52 53 37 52 19 20 30 63 27 62 28 61 27 60 24 59 21 58 15 57 °9 56 00 54 51 53 4° 52 27 51 12 30 40 61 54 60 56 59 57 58 57 57 56 56 53 55 49 54 43 53 36 52 27 51 17 50 05 40 50 60 22 59 26 58 29 57 3i 56 3= 55 31 54 29 53 25 52 21 51 15 50 07 4858 SO 6 OO 58 50 57 56 57 °i 56 04 55 <>7 54 °8 53 °9 52 07 51 05 50 01 48 55 47 49 6 OO 10 57 18 56 25 55 32 54 37 53 42 52 45 51 48 5° 49 49 48 48 47 47 44 4° 39 10 20 55 46 54 55 54 °3 53 « 52 17 51 22 50 28 49 29 48 10 4832 47 32 46 32 45 29 , 20 30 54 14 53 25 52 35 51 44 50 52 49 59 49 °5 47 15 46 17 45 18 44 18 30 40 52 41 51 54 5i °5' 50 16 49 26 48 35 47 43 46 50 45 57 45 01 ,44 °4 43 06 40 50 51 09 5° 23 49 37 48 49 48 01 47 12 46 21 45 30 44 38 43 44 42 5° 4i 54 50 7 OO 49 37 48 52 48 07 47 22 46 35 45 46 44 59 44 09 43 19 42 27 41 35 40 41 7 00 10 48 03 47 20 46 37 45 53 45 °8 44 22 43 35 42 48. 4i 59 41 10 40 19 39 27 IO 20 46 30 45 48 45 07 44 H 43 41 42 57 42 12 41 25 40 39 39 51 39 "3 38 13 20 30 44 57 44 17 43 36 42 55 42 13 41 31 40 48 40 04 39 18 38 33 37 46 36 58 30 40 43 z 3 42 44 42 05 41 26 40 45 40 04 39 23 ,38 40 37 5f 37 13 36 28 35 43 40 50 41 48 41 11 4° 34 39 56 39 18 3838 37 58 37 17 36 36 35 53 35 10 34 26 50 8 OO 40 13 39 3 8 39 OI 38 25 37 48 37 10 36 32 35 53 35 13 34 33 33 52 33 09 8 OO 10 3838 38 03 37 29 36 54 36 19 35 43 35 °6 34 28 33 51 33 12 32 32 31 52 IO 20 37 02 36 29 35 57 35 22 34 48 34 14 33 39 33 °3 32 27 31 50 31 12 3° 34 20 30 30 35 2 5 34 54 34 23 33 51 33 18 32 45 32 II 31 37 31 03 3° 27 29 51 29 15 40 33 48 33 19 3248 32 18 31 47 31 16 30 44 30 II 29 38 29 °5 28 30 27 55 40 50 32 n 31 43 31 14 30 45 30 16 29 46 29 16 28 45 28 13 27 41 27 08 2° 35 50 » OO 3° 33 30 06 29 39 29 12 28 44 28 15 27 47 27 17 26 48 26 17 25 4° 25 15 9 00 10 28 55 28 29 28 03 27 37 27 II 26 44 26 17 25 49 25 21 24 53 24 23 23 54 10 20 27 16 26 52 26 27 26 03 25 38 25 13 24 48 24 21 23 55 23 28 23 01 22 33 20 30 25 3 6 25 14 24 51 24 28 24 05 23 41 23 17 22 52 22 27 22 02 21 37 21 n 30 40 40 23 57 23 36 23 14 22 52 22 30 22 08 21 46 21 23 21 00 20 36 20 12 19 47 50 22 16 21 56 21 37 21 16 20 56 20 35 20 14' 19 53 19 32 19 10 18 47 18 25 50 10 OO 20 36 20 17 19 59 19 40 19 21 19 02 18 44 18 23 18 04 17 43 17 23 17 02 10 00 10 18 53 18 37 18 20 18 03 17 46 17 28 17 n 16 52 16 34 16 16 15 57 15 37 IO 20 17 12 16 57 16 42 16 26 l6 IO 15 54 15 38 15 22 15 °5 14 48 14 32 14 14 20 30 15 30 15 16 15 02 14 49 14 34 14 20 14 06 13 50 13 36 13 21 13 °5 12 49 30 40 50 40 13 48 13 35 13 23 13 n .12 59 12-45 12 32 12 19 12 06 n 52 11 39 II 25 50 12 06 11 54 11 43 II 32 n 22 11 10 10 59 10 48 10 35 10 24 10 12 10 00 11 00 10 22 10 13 10 03 9 54 9 45 9 35 9 25 9 15 9 05 8 55 8 45 8 34 11 OO 10 8 39 6 55 8 31 8 24 8 16 8 07 8 00 7 5i 7 43 7 35 7 26 7 18 7 °9 IO 20 6 49 6 43 6 37 6 31 6 24 6 18 6 10 6 04 5 57 5 5° 5 43 20 30 5 " 5 °7 5 ° 2 4 57 4 53 4 48 4 43 4 38 4 34 4 28 4 23 4 18 30 40 40 3 27 1 44 3 24 3 21 3 18 3 15 3 12 3 09 3 06 3 02 2 59 2 56 2 52 50 1 43 1 41 1 40 138 136 1 34 I 32 I 31 1 29 1 28 I 26 50 12 00 12 00 00 00 00 00 00 00 00 00 00 00 00 00 Tn North latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. when the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 236 AZIMUTH OR TRUE BEARING. LATITUDE 57°. DECLINATION— SAME NAME AS- LATITUDE. latitude: 57°. Hour An gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hoar Angle. b. m. o ' V 1 / / ' / / ' / / / b. 111. 00 00 00 00 00 00 00 00 00 00 00 00 00 10 22 28 16 47 13 1° 10 42 8 54 7 31 6 28 5 36 4 53 4 18 3 47 •IO 20 38 17 3° 39 24 47 20 20 17 13 14 41 12 40 11 01 9 39 8 30 7 3i ao 30 49 24 40 50 34 06 28 48 24 36 21 12 18 26 16 08 14 10 12 31 11 06 30 40 55 56 47 57 41 12 35 34 3" 51 26 55 23 36 20 48 18 24 16 19 14 32 40 50 60 0; 52 53 46 29 4° 52 36 00 31 48 28 09 24 59 22 15 19 5° 17 43 50 1 00 62 46 56 19 5° 23 45 00 40 10 35 52 32 04 28 41 25 42 23 02 20 39 1 00 10 64 29 58 43 53 15 48 11 43 30 39 15 35 23 31 54 28 44 25 55 23 20 10 30 65 35 60 23 55 22 5° 36 46 09 42 00 38 10 34 38 31 25 28 28 25 47 20 30 66 14 61 30 56 54 52 28 48 14 44 13 40 29 36 59 33 44 3° 44 27 57 30 40 6633 62 14 58 00 53 51 49 50 46 01 42 24 38 57 35 42 32 41 .29 52 40 50 66 39 62 40 58 44 54 51 51 05 47 26 43 56 4° 35 37 23 34 22 31 31 50 2 00 6633 62 51 59 12 55 35 52 01 48 33 45 11 41 55 38 48 35 5° 33 °° 2 OO 10 66 17 62 53 59 27 56 04 52 41 49 24 46 10 43 °i 39 5? 37 °4 34 15 10 20 65 55 62 44 59 32 56 21 .53 10 50 01 46 56 43 54 40 56 38 06 35 19 ao 30 65 27 62 29 59 29 56 28 53 27 50 27 47 3° 44 34 41 43 38 5° 36 13 30 40 64 55 62 07 59 17 56 26 53 34 5° 44 47 55 45 °6 42 20 39 37 3° 58 40 50 64 19 61 40 59 °° 56 18 53 35 5° 52 48 10 45 28 42 47 40 09 37 34 50 3 00 °3 39 61 09 58 38 56 04 53 29 5° 54 48 18 45 4i 43 °8 4° 34 38 02 3 OO 10 62 56 60 34 58 10 55 44 53 16 50 48 .48 19 45 5° 43 20 4° 52 38 25 10 20 62 11 59 56 57 39 55 20 52 59 5° 37 48 14 45 49 43 26 41 02 38 40 20 30 61 23 59 15 57 t>5 54 52 52 37 50 21 48 04 45 45 43 27 41 08 38 49 30 40 60 33 58 31 56 27 54 20 52 11 50 01 47 49 45 36 43 23 41 08 38 54 40 50 59 42 57 46 55 47 53 45 51 42 49 37 47 3° 45 22 43 14 41 °3 38 53 50 4 00 58 49 56 57 55 04 53 07 51 09 49 °9 47 08 45 04 43 00 4° 54 3848 4 OO 10 57 55 56 08 54 19 52 28 50 34 48 39 46 42 44 42 42 43 40 41 38 39 10 20 56 59 55 17 53 32 5i 45 49 56 48 05 46 13 44 18 42 22 4° 25 38 26 20 30 56 02 54 24 52 43 51 01 49 15 47 29 45 41 43 5° 41 58 40 05 38 09 30 40 55 03 53 29 51 53 50 14 40 33 46 50 45 0° 43 20 4i 32 39 42 37 5i 40 50 54 °4 52 33 51 01 49 26 47 49 46 10 44 30 42 46 41 02 39 16 37 29 50 6 OO 53 04 51 36 5° °7 48 36 47 03 45 27 43 5° 42 11 40 30 38 47 37 °3 5 OO 10 52 02 5° 37 49 12 47 44 46 14 44 42 43 °8 41 33 39 56 38 17 36 35 10 20 51 00 49 38 48 16 46 51 45 25 43 55 43 °8 42 26 4° 53 39 19 37 43 37 08 36 05 20 30 49 58 48 38 47 18 45 57 44 33 41 41 40 11 38 41 35 34 30 40 48 51 47 36 46 20 45 01 43 40 42 18 40 54 39 28 38 00 3° 31 34 59 40 50 47 46 46 34 45 20 44 "4 42 46 41 27 40 06 38 42 37 18 35 5i 34 23 50 6 00 46 40 45 31 44 19 43 t>5 41 51 40 34 39 16 37 5° 36 34 35 1° 33 45 6 00 10 45 33 44 25 43 17 42 07 40 54 39 4° 30 25 37 °7 35 49 34 28 33 °S 10 JO 44 25 43 21 42 15 41 06 3 °. 5 £ 38 45 37 33 36 18 35 °2 33 44 32 25 20 30 43 17 42 14 41 10 40 04 3858 37 49 36 39 35 27 34 14 32 58 31 41 30 40 42 08 41 07 40 05 39 02 37 58 36 51 35 44 34 35 33 24 32 12 30 57 40 50 40 58 39 59 39 00 37 59 36 57 35 53 34 48 33 41 32 33 31 23 30 II 50 7 OO 39 47 38 50 37 54 36 54 35 55 34 54 33 52 32 47 31 41 3° 34 29 25 7 00 10 38 35 37 40 36 46 35 5° 34 52 33 53 32 53 31 51 30 48 29 43 28 37 IO 20 37 =2 3° 3° 35 37 34 44 33 48 32 52 31 54 3° 54 29 53 28 51 27 48 20 30 36 10 35 19 34 29 33 37 32 44 31 49 3° 54 29 57 2858 27 58 26 57 30 40 34 56 34 08 33 19 32 29 31 38 30 46 29 53 28 57 28 02 27 04 26 05 40 50 33 42 3'2 56 32 09 31 21 30 32 29 42 28 51 27 58 27 °4 26 10 25 13 50 8 00 32 26 31 42 3058 30 12 29 24 28 37 27 48 26 58 26 06 25 14 24 19 8 00 10 31 11 30 28 29 46 29 02 28 17 27 31 26 45 25 56 25 °7 24 17 23 25 10 20 29 54 29 14 28 33 27 52 27 09 26 25 25 4° 24 55 24 08 23 19 22 30 20 30 28 37 27 59 27 20 26 41 26 00 25 17 24 3° 23 52 23 07 22 21 21 34 30 40 27 20 26 44 26 06 25 28 24 49 24 10 23 3° 22 48 22 06 21 22 20 37 40 SO 26 01 25 27 24 52 24 16 23 40 23 02 22 24 21 44 21 04 20 22 19 40 50 9 00 24 43 24 10 23 37 23 03 22 28 21 52 21 16 20 39 20 01 19 22 18 42 9 00 10 23 24 22 52 22 21 21 49 21 16 20 43 20 09 IQ . 33 , 18 58 18 21 17 43 10 20 22 04 21 35 21 05 20 35 20 04 19 33 19 01 18 28 17 54 17 20 16 43 20 30 20 44 20 16 19 49 19 21 18 51 18 22 17 52 17 21 16 49 16 17 15 44 30 40 19 23 18 58 18 32 18 06 17 39 17 11 16 43 16 14 15 44 15 14 14 43 40 50 18 02 17 38 17 14 16 50 16 25 15 59 15 33 15 °6 14 39 14 11 13 42 50 10 00 16 41 l6 19 15 57 15 34 15 11 14 48 14 24 13 58 13 33 13 °7 12 41 10 00 io 15 18 14 58 14 38 14 17 13 56 13 3° 13 13 12 50 12 27 12 03 II 39 10 ao 13 56 13 38 13 19 13 01 12 42 12 22 12 02 11 42 11 20 1° 59 10 37 20 30 12 34 12 17 12 00 II 43 11 26 II 09 10 51 10 32 10 13 9 54 9 34 30 40 11 11 10 56 10 41 10 27 10 11 9 55- 9 39 9 22 9 06 8 49 831 40 50 9 47 9 34 9 22 9 09 8 55 8 41 8 27 8 13 7 58 7 43 7 28 50 11 00 8 23 8 12 8 02 7 51 7 39 7 27 7 16 7 °3 6 50 638 6 24 11 OO 10 7 00 6 50 6 41 6 33 6 22 6 13 6 03 5 53 5 42 5 31 5 20 10 20 5 36 5 29 5 22 5 14 5 °7 4 59 4 5 J 4 42 4 34 4 26 4 I? 20 30 4 13 4 °7 4 02 3 55 3 5" 3 44 3 38 3 32 3 25 3 19 3 13 30 40 2 48 2 45 2 41 2 37 2 33 2 29 2 25 2 21 2 17 2 12 2 09 40 50 1 24 1 22 1 20 1 18 1 16 1 14 1 12 1 10 1 08 I 06 : 04 50 13 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East, and when the star'is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 237 AZIMUTH OR TRUE BEARING. LATITUDE 58°. DECI.INATION- ■SAME NAME AS— LATITUDE. LATITUDE! 58°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / / / / / / 1 / / li. in. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 5° 175 51 175 46 175 4° 175 35 175 3° 175 23 175 17 175 11 175 03 174 55 174 46 10 20 171 5i 171 42 171 33 171 23 171 12 171 00 170 49 170 3° 170 22 170 07 169 52 169 35 20 30 167 50 167 36 167 22 167 07 166 51 166 35 166 17 i°5 59 !>65 39 165 17 16453 164 28 30 40 i°3 50 163 32 163 14 162 55 162 35 162 13 161 50 161 25 160 59 160 32 160 01 159 30 40 50 159 55 159 33 159 11 158 48 158 23 157 57 157 29 156 59 156 27 155 54 155 18 154 39 50 1 OO 156 04 155 39 155 13 154 4° 154 17 153 46 153 15 152 41 152 03 151 24 150 43 150 00 1 00 10 152 18 151 5° 151 21 150 50 150 18 149 43 149 07 148 29 147 49 147 05 146 19 145 3i 10 20 14S 37 148 07 147 34 147 01 146 25 145 47 145 08 144 26 143 42 142 5° 142 07 141 14 20 30 i« °3 144 29 143 54 143 19 142 40 142 00 141 18 H° 33 139 46 138 56 138 03 137 08 30 40 141 34 140 58 140 22 139 43 139 °2 138 19 137 35 136 48 136 00 135 07 134 12 133 15 40 50 138 « 137 34 136 55 13° 15 135 33 134 48 134 02 133 13 132 22 131 28 130 32 129 33 50 2 OO 134 54 134 15 133 35 132 54 132 09 131 23 13° 35 129 46 128 53 127 58 127 01 126 01 2 OO 10 131 44 131 04 130 22 129 39 128 54 128 07 127 18 126 27 125 33 124 38 123 40 122 38 10 20 128 39 127 57' 127 15 126 31 125 45 124 57 124 08 123 17 122 22 121 26 120 2b 119 27 20 30 "5 39 124 58 124 14 123 30 122 43 121 55 121 04 120 12 119 18 118 21 117 23 116 22 30 40 122 46 122 03 121 19 120 34 119 47 118 58 118 08 117 16 no 21 115 25 114 27 113 26 40 50 «9 57 119 14 118 29 117 44 "6 57 116 09 115 18 114 25 113 31 ii2 36 in 37 no 37 SO 3 00 «7 13 116 29 "5 45 115 °° 114 13 113 23 112 33 in 41 110 48 109 52 108 54 107 55 3 OO 10 «4 33 113 5° 113 °5 112 20 in 33 no 44 i°9 54 109 03 108 09 107 14 106 17 105 18 10 20 III 59 in 15 no 31 109 46 108 58 108 09 107 20 106 29 105 36 104 41 103 46 102 48 20 30 109 28 108 44 108 00 107 15 106 28 105 40 104 51 104 00 103 07 102 14 101 19 100 23 30 40 107 00 106 17 l°5 33 104 48 104 02 103 14 102 25 101 36 100 44 99 5i 5f 5 Z 98 01 40 50 104 36 l°3 53 103 09 102 25 101 38 100 51 100 03 99 14 98 23 97 32 96 38 95 44 50 4 00 102 16 101 33 100 49 100 06 99 20 9 ? 3 § 97 4° 96 57 96 07 95 1° 94 24 93 31 4 OO 10 99 57 99 15 98 32 97 48 97 °3 96 18 95 3i 94 42 93 54 93 °4 92 12 91 19 10 20 97 42 9° 59 96 17 95 34 94 5° 94 °5 93 19 92 32 T- 4 ? 90 54 90 04 89 12 20 30 95 29 94 47 94 °5 93 23 92 39 91 54 91 09 90 23 89 36 88 47 8758 87 07 30 40 93 18 92 37 91 56 91 13 90 31 89 46 89 02 88 16 87 3° 8643 85 54 85 05 40 50 91 09 90 29 89 48 89 07 88 24 87 41 86 56 86 12 85 26 84 40 83 52 83 05 SO 5 OO 89 01 88 22 87 41 ?7 00 86 19 8536 84 53 84 09 83 24 82 39 81 52 81 05 5 OO io 8656 86 16 8536 84 5° 84 15 83 33 82 51 82 08 81 24 80 39 79 54 79 °8 10 20 8452 84 12 83 33 82 54 82 13 81 33 80 51 80 09 79 26 7842 77 57 77 12 20 30 82 48 82 10 81 31 80 52 80 13 79 32 78 51 78 10 77 28 76 45 76 02 75 17 30 40 80 46 80 08 79 3° 78 52 78 12 77 33 76 53 76 12 75 3i 74 49 74 °° 73 23 40 50 78 45 78 07 77 3° 76 53 76 14 75 3° 74 5° 74 16 73 3° 72 55 72 13 7i 3i 50 6 OO 76 43 76 07 75 3° 74 54 74 15 73 38 72 59 72 21 71 4i 71 00 70 20 69 39 6 OO IO 74 43 74 °7 73 31 72 55 72 18 71 41 71 03 69 08 70 25 69 46 69 07 68 27 67 47 10 20 72 44 72 09 71 33 7° 58 70 21 69 45 68 31 67 52 .67 15 66 35 65 56 20 30 7°! !44 70 10 69 35 69 00 68 25 67 48 67 12 66 36 6558 65 22 64 43 64 05 30 40 68 44 68 10 67 36 67 02 66 27 65 52 65 17 64 42 64 05 63 29 62 52 62 15 40 50 66 45 66 12 65 39 65 °5 64 30 63 57 63 22 62 47 62 12 61 37 61 00 60 24 50 7 00 64 45 64 12 63 40 63 °8 62 35 62 01 61 27 60 53 60 19 59 45 59 09 58 34 7 00 IO 62 45 62 13 61 42 61 10 60 38 60 05 59 32 S8 59 58 25 57 51 57 17 56 42 IO 20 60 46 60 14 59 43 59 13 58 4° 58 08 57 37 57 °5 5° 31 55 59 55 25 54 52 20 30 58 46 58 15 57 45 57 14 5° 43 56 12 55 40 55 10 54 38 54 °6 53 34 53 01 30 40 56 45 56 15 55 46 55 1° 54 45 54 16 53 46 53 15 52 44 52 14 51 42 51 10 40' 50 54 44 54 14 53 46 53 17 52 48 5 2 19 51 49 5i 19 5° 50 50 20 49 50 49 19 50 8 OO 52 41 52 13 51 45 51 17 5° 49 50 20 49 52 49 23 48 54 48 25 47 56 47 27 8 00 10 5° 39 50 12 49 45 49 18 48 5° 48 22 47 55 47 27 • 46 59 46 32 46 03 45 35 IO 20 48 36 48 09 47 43 47 17 46 50 46 24 45 57 45 30 45 °3 44 37 44 °9 43 42 20 30 46 32 46 05 45 41 45 l fi 44 5° 44 25 43 57 43 32 43 °7 42 41 42 15 41 48 30 40 44 27 44 °i 43 38 43 '4 42 48 42 25 42 00 41 35 41 09 40 45 40 20 39 55 40 50 42 22 41 57 41 34 41 11 40 47 40 23 40 00 39 3° 39 12 38 48 38 23 38 oo- 50 9 OO 40 14 39 51 39 29 39 °° 38 44 38 21 37 59 37 36 37 13 36 50 36 27 36 04 9 OO 10 38 07 37 45 37 23 37 ° 2 36 40 36 20 35 57 35 35 35 14 34 53 34 30 34 °9 10 20 35 59 35 37 35 17 34 57 34 36 34 17 33 56 33 35 33 14 32 54 32 33 32 12 20 30 33 49 33 29 33 n 32 51 32 31 32 12 31 53 31 33 31 14 3° 55 3° 34 3° 15 30 40 31 39 31 20 31 °2 3° 44 30 26 30 08 29 49 29 31 29 13 28 55 28 35 28 17 40 50 29 27 29 10 2853 28 36 28 19 28 02 27 45 27 28 27 11 26 54 26 36 26 19 50 IO 00 27 16 26 59 26 44 26 28 26 12 25 56 25 40 25 24 25 08 24 53 24 36 24 20 10 00 IO 25 °3 24 48 24 33 24 18 24 04 23 49 23 34 23 20 23 05 22 50 22 35 22 21 IO 20 22 50 22 35 22 22 22 09 21 55 21 42 21 28 21 15 21 01 20 48 20 35 20 20 20 30 20 34 20 22 20 10 19 57 19 46 19 34 19 22 19 10 18 57 18 45 18 32 18 20 30 40 18 19 18 08 17 57 17 46 17 35 17 25 17 14 17 03 16 52 16 41 16 30 16 19 40 50 16 04 15 53 15 44 15 35 15 25 15 15 15 06 14 5° 14 46 14 37 14 27 14 18 50 11 00 13 47 13 38 13 31 13 22 13 14 13 05 12 57 12 49 12 41 12 33 10 28 12 24 12 16 11 00 10 11 30 11 23 II 16 II 09 n 02 10 55 10 49 10 41 10 35 10 21 10 14 10 20 9 12 6 54 9 °7 9 02 856 8 5° 8 45 8 39 8 33 8 29 8 23 8 17 8 11 20 30 6 50 6 46 6 42 638 6 34 6 30 6 26 6 22 6 18 6 13 6 09 30 40 4 37 4 34 4 31 4 28 4 25 4 23 4 19 4 17 4 15 4 11 4 09 4 06 40 50 2 18 2 17 2 16 2 15 2 13 2 11 2 10 2 09 2 08 2 06 2 04 2 03 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 Tn North latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. Tn South latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 238 AZIMUTH OR TRUE BEARING. LATITUDE 58°. DEC LI NATION - SAME NAME AS— LATITUDE. LATITUDE 58°. Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / / / / / / / / / / b. 111. 00 180 oo 180 00 180 00 180 00 1S0 00 180 00 180 00 180 00 1S0 00 180 00 180 00 180 00 00 10 174 36 174 26 174 15 174 03 173 49 173 33 173 17 17258 172 35 172 11 171 42 171 07 lO 20 169 15 168 56 16S 34 168 09 167 42 167 13 166 40 166 02 165 21 164 32 163 36 162 30 20 30 164 01 163 32 163 00 162 24 161 46 161 03 160 16 159 22 158 22 157 14 155 56 154 25 30 40 158 54 158 17 157 35 156 51 156 01 155 °7 154 08 153 00 151 46 150 22 148 46 146 57 40 50 153 57 153 12 152 24 151 31 150 33 149 29 148 19 147 03 145 36 144 01 142 13 140 12 50 1 00 149 I2 148 11 147 26 146 25 145 21 144 II 142 53 141 28 139 54 138 11 136 16 134 07 1 OO 10 144 38 143 42 142 43 I4i 37 140 26 139 11 137 48 136 18 134 39 132 51 130 51 128 39 lO 20 140 18 139 18 138 14 137 °4 135 51 134 31 133 04 131 31 129 50 127 59 125 58 123 46 20 30 136 09 135 °6 134 o° 132 48 131 31 130 09 128 40 127 05 125 23 123 32 121 32 119 21 30 40 132 13 131 09 130 00 128 46 127 28 126 05 124 35 123 00 121 17 119 28 117 29 115 22 40 50 128 30 127 23 126 13 124 58 123 41 122 17 120 47 119 12 117 ?i 115 44 113 47 I" 44 50 2 00 124 57 123 49 122 39 121 24 120 06 118 42 117 13 115 40 114 00 112 15 no 22 108 23 2 00 10 121 35 120 27 119 17 118 02 116 44 IIS 21 "3 54 112 22 no 45 109 02 107 13 105 18 10 20 118 23 "7 15 116 05 114 50 "3 33 112 13 no 47 109 17 107 41 106 02 104 16 102 26 20 30 115 18 114 XI 113 02 hi 49 no 32 109 13 107 49 106 21 104 49 103 13 101 31 99 45 30 40 112 23 in 16 no 08 108 56 107 41 106 23 105 01 103 36 102 07 100 33 98 55 97 13 40 50 109 35 108 30 107 22 106 n 104 58 103 42 102 22 100 59 99 32 98 02 96 28 94 5° SO 3 00 106 53 105 49 104 43 103 33 102 22 101 08 99 50 9? 29 97 °5 95 38 94 °7 92 33 3 00 10 104 18 103 15 102 10 101 02 99 52 98 40 97 24 96 06 94 44 93 20 91 53 89 43 90 21 10 20 101 48 100 47 99 43 9836 97 28 96 18 95 °4 93 48 92 30 91 08 88 17 20 30 99 23 98 23 97 20 96 16 95 °9 94 00 92 49 91 36 90 19 89 01 87 39 86 15 30 40 97 °3 96 04 95 °3 94 00 92 55 91 48 9° 39 89 28 88 14 86 58 85 39 84 18 40 50 94 47 93 49 92 50 91 48 90 44 89 40 88 32 87 23 86 11 8458 83 42 82 24 50 4 00 92 35 91 39 90 40 89 40 88 39 87 35 86 29 85 22 84 14 83 02 81 48 80 32 4 00 10 90 25 89 30 8833 87 34 86 34 85 33 84 29 83 24 82 17 81 08 79 57 78 44 lO 20 88 18 87 25 86 30 8532 84 33 83 34 82 32 81 29 80 23 79 17 78 08 7658 20 30 86 15 85 22 84 29 83 33 82 35 81 38 80 37 79 36 78 33 77 29 76 21 75 14 30 40 84 14 83 22 82 29 81 35 80 39 79 43 78 45 77 45 76 44 75 42 74 37 73 31 40 50 82 15 81 24 80 33 79 39 78 45 77 51 76 53 75 56 74 57 73 56 72 53 71 49 50 5 00 80 17 79 27 78 37 77 45 76 53 75 59 75 03 74 °7 73 10 72 11 71 11 70 09 5 OO lO 78 20 77 32 76 43 75 52 75 °2 74 °9 73 16 72 21 71 25 70 28 69 30 6830 lO 20 76 25 75 39 74 51 74 02 73 12 72 22 71 29 70 36 69 42 68 46 67 49 6652 20 30 74 32 73 46 72 59 72 n 71 2 Z 7° 34 69 43 6851 67 59 67 05 66 09 65 14 30 40 72 39 71 54 71 09 70 22 69 3 § 6847 67 58 67 07 66 17 65 25 64 31 63 36 40 50 70 48 70 04 69 20 6834 6748 67 02 66 14 65 25 64 35 63 45 62 53 62 00 50 6 00 68 57 68 14 67 31 66 46 66 02 65 16 64 30 63 43 62 55 62 06 61 15 60 24 6 OO 10 67 06 66 25 65 42 64 59 64 15 63 31 62 46 62 00 61 13 60 26 59 37 58 47 10 20 65 16 64 36 63 55 63 12 62 31 61 47 61 03 60 19 59 34 58 47 58 00 57 12 20 30 63 26 62 47 62 06 61 26 60 45 60 03 59 20 58 37 57 53 57 08 56 22 55 36 30 40 61 37 60 58 60 19 59 39 58 59 58 19 57 38 56 55 56 13 55 30 54 46 54 00 40 50 59 47 59 1° 58 32 57 53 57 14 56 35 55 55 55 14 54 33 53 51 53 °8 52 24 50 7 00 57 58 57 22 56 45 56 07 55 29 54 51 54 12 53 33 52 53 52 12 51 30 50 48 7 OO 10 56 07 55 33 54 57 54 21 53 44 53 06 52 29 51 51 51 12 50 33 49 53 49 12 10 20 54 18 53 45 53 °9 52 34 51 59 51 23 50 46 50 10 49 31 48 53 48 15 47 36 20 30 52 28 51 56 51 22 5° 48 5° 13 49 39 49 03 48 27 47 51 47 15 46 37 45 58 30 40 50 38 50 06 49 33 49 01 48 27 47 54 47 19 46 45 46 10 45 35 44 58 44 22 40 50 48 48 48 17 47 46 47 14 46 41 46 09 45 36 45 03 44 29 43 55 43 20 42 45 50 8 00 46' 56 46 27 45 56 45 25 44 54 44 23 43 51 43 19 42 47 42 14 41 41 41 07 8 00 10 45 06 44 37 44 07 43 38. 43 08 42 38 42 08 41 36 41 05 40 34 40 01 39 28 10 20 43 14 42 47 42 18 41 49 41 21 40 51 40 22 39 53 39 22 38 53 38 21 37 50 20 30 41 21 4° 55 40 28 40 00 39 32 39 °5 38 37 38 09 37 40 37 11 36 41 36 11 30 40 39 29 39 03 38 37 38 10 37 45 37 19 36 51 36 24 35 57 35 29 35 01 34 32 40 50 37 35 37 11 36 46 36 20 35-55 35 30 35 05 34 39 34 12 33 47 33 19 32 52 50 9 OO 35 41 35 17 34 54 34 29 34 06 33 42 33 17 32 53 32 28 32 02 31 37 31 11 9 OO 10 33 47 33 24 33 02 32 39 32 16 31 53 31 30 31 °7 3° 43 30 20 29 56 29 30 lO 20 31 5i 31 30 31 09 30 47 30 26 30 04 ■29 42 29 20 28 58 2835 28 12 27 50 20 SO 29 56 29 36 29 15 28 55 28 35 28 15 27 54 27 33 27 13 26 51 26 30 26 08 30 40 27 58 27 41 27 22 27 02 26 43 26 24 26 04 25 45 25 26 25 06 24 46 24 26 40 50 26 02 25 45 25 27 25 °9 24 52 24 34 24 16 23 57 23 39 23 21 23 02 22 42 50 10 OO 24 04 23 48 23 32 23 15 22 58 22 42 22 25 22 09 21 52 21 34 21 17 21 00 lO OO 10 22 06 21 51 21 36 2f 20 21 05 20 50 20 35 20 19 20 04 19 49 19 33 19 16 10 20 20 07 19 53 19 40 19 26 19 13 1858 18 45 18 30 18 17 18 02 17 47 17 33 20 30 18 08 17 56 17 43 17 31 17 19 17 05 16 53 16 40 16 27 16 15 16 02 15 49 30 40 16 08 15 57 15 46 15 35 15 24 15 13 15 01 14 5° 14 39 14 27 14 16 14 03, 40 50 14 08 13 59 13 49 13 39 13 29 13 19 13 10 13 00 12 49 12 39 12 30 12 19 50 11 00 12 08 12 00 II 51 11 43 11 34 II 26 - II 17 11 09 11 01 10 51 10 43 10 34 11 00 10 10 07 10 01 9 54 9 46 9 39 9 32 9 26 9 18 9 11 9 03 8 56 8 48 lO 20 8 06 8 00 7 55 7 49 7 44 7 38 7 32 7 27 7 21 7 15 7 09 7 03 20 30 6 04 6 01 5 56 5 52 5 48 5 43 5 4° 5 35 5 31 5 26 5 22 5 17 30 40 4 03 4 00 i5 l 3 54 3 52 3 49 3 47 3 44 3 41 3 37 3 34 3 3J 40 50 2 02 2 00 158 1 57 1 56 1 54 1 52 1 Si 1 50 I 49 1 48 1 46 50 18 00 00 00 00 00 00 00 00 00 00 00 00 00 - 12 00 • In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 239 AZIMUTH OR TRUE BEARING. IiATITtJBE 5S °. DECLINATION— 5AME NAME AS— LATITUDE. IiAXITUUE 58°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. It. in. o / / / / / * 1 / / / / / li. in. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 10 170 26 169 36 16S 34 167 15 165 31 163 09 159 41 154 14 144 42 125 36 '88 56 il 3 l 10 20 30 40 50 20 161 13 159 4o 157 46 155 25 152 23 148 23 142 57 135 17 124 11 108 17 87 53 66 56 30 152 39 150 34 148 03 145 00 141 14 13° 30 130 29 122 45 112 55 100 45 86 49 72 3° 40 144 5i 142 24 139 32 136 09 132 06 127 04 121 21 114 18 105 55 96 18 85 45 74 56 50 137 53 135 14 132 13 128 44 124 40 119 57 114 28 108 12 101 04 93 °9 84 42 76 00 1 00 131 43 128 59 125 56 122 29 118 34 114 08 109 08 I°3 33 97 23 90 42 83 38 76 22 1 00 lO 126 13 123 3 1 120 31 117 11 113 28 109 21 104 47 99 48 94 25 88 37 82 34 76 19 lO 20 30 ao 121 21 118 43 "5 49 "2 37 109 08 105 19 101 10 96 41 91 53 86 49 81 30 76 02 30 116 59 114 26 III 39 108 38 105 22 101 51 98 03 94 00 89 41 S 5 09 80 25 75134 40 113 04 110 37 107 58 105 07 102 03 98 47 95 18 91 35 8? 41 8336 79 21 78 17 75 00 40 50 50 109 3] 107 10 104 39 101 58 99 06 96 03 92 49 89 26 8552 82 08 74 19 a o.o 106 16 104 00 101 37 99 05 96 24 93 34 9° 35 87 26 84 09 80 44 77 12 73 34 a 00 10 20 30 40 50 10 103 16 101 07 98 5i 96 28 93 56 91 17 88 29 85 34 82 32 79 22 76 07 72 46 ao 100 29 98 26 96 17 94 02 91 38 89 09 8632 83 49 80 59 78 04 75 02 71 51 30 97 52 95 57 93 52 91 43 89 29 87 08 84 41 82 09 79 30 76 45 73 5° 71 02 40 95 26 93 34 91 37 89 35 87 26 '85 14 82 56 80 32 78 04 75 29 72 51 70 07 50 93 06 91 19 89 28 87 32 8530 S3 25 81 14 78 59 76 39 74 14 71 47 69 11 3 00 9° 54 89 12 87 25 85 34 83 39 81 40 79 36 77 29 75 IS 73 °° 70 39 68 14 3 OO lO 20 30 40 50 10 88 47 87 09 85 27 83 41 81 52 79 59 78 01 75 59 73 54 7i 45 69 32 68 25 67 16 20 86 45 85 12 83 33 81 52 80 08 78 21 76 28 74 33 72 34 70 32 66 16 30 84 48 83 17 81 44 80 07 78 27 76 45 74 58 73 08 71 14 69 18 67 18 65 15 40 82 54 81 27 79 57 78 25 76 48 75 11 73 28 7i 44 69 56 68 05 66 11 64 14 50 81 02 79 39 78 13 76 45 75 13 73 38 72 00 70 21 68 38 66 52 °5 °3 63 12 4 00 79 15 77 54 76 3 1 75 06 73 38 72 08 70 34 68 59 67 21 65 3? 6356 62 08 4 00 10 77 28 76 12 74 5i 73 30 72 os 7038 69 09 67 37 66 03 64 26 62 46 61 03 10 20 30 40 50 ao 75 45 74 3 1 73 13 7i 55 7° 33 69 10 67 45 66 16 64 46 °3 13 61 37 59 59 30 74 °4 72 51 7 1 37 70 21 69 03 67 43 66 20 64 56 . 63 29 62 00 60 28 58 54 40 72 23 71 13 70 01 68 48 67 33 66 16 64 57 63 35 62 11 60 46 59 18 57 48 50 70 43 69,37 68 28 67 17 66 05 64 50 '63 33 62 15 60 54 59 32 58 08 56 41 5 00 69 05 68 00 66 54 °5 45 64 36 63 24 62 10 60 55 59 37 58 18 56 57 55 33 5 OO 10 20 30 40 50 10 67 29 66 25 65 21 64 15 63 07 61 59 60 47 59 35 58 21 57 04 55 4° 54 24 20 65 52 64 51 63 49 62 45 61 40 60 34 59 24 58 15 57 °3 55 50 54 34 53 17 30 64 16 63 '7 62 16 61 15 60 12 59 08 58 02 56 55 55 45 54 35 53 22 52 08 40 62 41 61 43 60 45 59 46 58 45 57 43 56 39 55 34 54 27 53 19 52 09 5° 57 50 61 06 60 11 59 H 58 17 57 19 56 18 55 17 54 14 53 09 52 03 5° 56 49 47 6 00 59 31 5838 57 43 5648 55 5i 54 53 53 53 52 53 51 50 50 47 49 42 48 36 6 OO 10 20 30 40 50. 10 57 57 57 05 56 12 55 19 54 24 53 28 52 30 51 32 50 31 49 3° 48 28 47 23 46 11 44 58 20 56 23 55 33 54 4i 53 50 52 57 52 03 51 °7 50 11 49 13 4 < *J 47 13 30 54 48 34 0° 53 11 52 21 51 30 5° 37 '49 43 48 49 47 53 46 56 45 58 40 53 14 52 28 51 39 5° 5i 50 02 49 11 48 19 47 27 46 33 45 38 44 42 43 44 50 51 4o 5° 55 50 09 49 21 48 33 47 45 46 55 46 05 45 12 44 20 43 25 42 30 7 00 5° °5 49 22 48 37 47 52 47 05 46 19 45 3° '44 42 43 52 43 01 42 09 41 15 7 OO 10 20 30 40 50 10 48 31 47 48 47 05 46 21 45 37 44 52 44 05 43 18 42 3° 41 41 4° 51 39 59 38 43 20 46 55 46 15 45 33 44 52 44 08 43 24 42 40 41 55 41 08 40 21 39 33 30 45 21 44 41 44 01 43 20 42 39 4i 58 41 14 40 31 39 4° 39 °° 38 14 37 27 40 43 45 43 07 42 28 41 50 41 10 40 30 39 48 39 °° 38 23 37 40 36 55 36 09 50 42 09 41 33 4° 55 40 18 39 40 39 °2 38 21 37 4i 37 00 36 18 35 35 34 51 8 00 40 32 39 57 39 21 38 45 38 09 37 32 36 54 36 15 35 36 34 56 34 15 33 33 8 00 lO 20 30 40 50 10 38 56 38 22 37 48 37 14 36 39 36 03 35 27 34 49 34 11 33 34 32 54 32 13 ao 37 19 36 47 36 14 35 41 35 °7 34 33 ■ 33 57 33 23 32 46 32 10 31 33 3° 54 30 35 '4 1 35 10 34 39 34 08 33 3° 33 03 32 30 31 56 31 21 3° 47 30 n 28 48 27 26 29 35 40 34 °3 33 34 33 04 32 33 32 03 31 32 31 00 30 29 29 55 29 22 28 13 26 53 50 32 25 31 56 31 28 31 00 3° 31 30 01 29 30 29 01 28 29 27 58 9 00 lO 30 45 29 06 27 26 30 19 28 41 29 52 28 16 29 25 27 49 28 57 27 24 28 30 26 57 28 01 26 30 27 33 26 03 27 03 25 35 26 32 25 07 26 02 24 38 25 30 24 09 22 46 9 OO 10 20 30 40 50 20 27 03 26 38 26 14 25 50 25 24 24 59 24 34 24 07 23 41 23 14 30 25 46 2405 22 24 25 24 25 01 24 39 24 15 23 52 23 28 23 04 22 39 22 15 21 49 21 22 40 50 23 44 22 04 23 23 21 45 23 02 21 25 22 40 21 05 22 18 20 45 21 56 20 24 21 33 20 03 21 11 19 42 20 48 19 20 20 24 18 58 19 59 18 35 lO 00 10 20 42 19 00 17 18 15 35 13 5 2 12 09 20 25 18 44 20 06 18 27 19 48 18 10 19 3° 17 53 19 11 17 3° 18 51 17 18 18 33 17 01 18 13 16 43 17 53 16 25 17 32 16 06 17 ii- is 47 10 00 10 20 30 40 50 20 17 03 16 47 16 32 16 17 16 02 15 46 15 29 15 12 14 5° 14 39 14 21 30 40 15 22 13 4° 15 08 13 28 14 54 13 16 14 40 13 °3 14 27 12 51 14 12 12 38 13 58 12 25 13 42 12 11 13 27 11 59 13 I2 11 45 12 57 11 31 50 II 58 II 48 « 37 11 26 11 15 11 04 10 52 10 41 10 30 10 17 10 05 11 00 10 20 30 40 50 12 00 10 26 10 16 10 07 9 58 948 9 39 9 29 9 19 9 09 8 59 8 49 8 40 11 00 lO 20 30 40 50 12 00 8 41 6 58 5 J3 3 29 1 45 00 8 34 651 5 09 3 26 1 43 00 8 26 8 19 8 10 8 03 7 55 7 47 7 38 7 31 7 22 7 13 6 45 6 39 6 32 6 26 6 20 6 13 6 07 6 00 5 53 5 47 5 04 t 23 1 41 00 5 00 3 20 I 40 00 4 55 3 17 1 38 00 4 5° 3 14 I 37 00 4 45 3 10 1 35 00 4 41 3 °7 1 34 00 4 35 3 04 1 32 00 4 3i 3 01 1 30 00 4 25 2 57 1 28 00 4 20 2 53 1 27 00 , ». «. 1 «*...i„ „,*.„ Hi* star i4 34 06 34 19 33 23 32 25 34 58 33 13 32 19 31 23 33 46 32 57 32 06 31 13 30 21 32 35 31 47 3° 58 30 09 29 17 31 22 30 36 29 50 29 01 28 13 30 09 29 25 28 41 27 55 27 08 28 55 28 14 27 31 26 47 26 03 27 41 27 01 26 20 25 38 24 57 26 25 25 48 25 09 24 3° 23 49 25 °9 24 34 23 58 23 20 22 42 23 54 23 20 22 45 22 10 21 34 22 37 22 05 21 33 20 59 20 24 21 20 20 50 20 19 19 48 19 15 20 03 *S H 19 05 18 36 18 06 18 44 18 18 17 51 17 23 16 55 17 25 17 01 16 36 16 11 15 45 16 07 15 44 15 22 14 58 14 34 14 47 14 26 14 06 13 44 13 22 13 28 13 09 12 50 12 31 12 II 12 08 It 51 " 34 11 16 10 58 10 48 1° 33 10 18 10 01 9 4° 9 27 9 14 9 01 8 47 8 33 8 06 7 56 7 44 7 32 7 21 6 46 6 37 6 27 6 17 6 07 5 25 '5 17 5 °9 5 02 4 54 4 04 3 58 3 53 3 47 3 41 2 43 2 39 2 35 2 31 2 27 1 22 1 20 1 18 1 16 1 14 00 00 00 00 00 67° 68° 69° 70° ' Hour Angle. 00 6 12 12 12 17 46 22 48 27 14 31 °5 34 22 37 °9 39 28 41 23 42 5° 44 12 45 14 46 01 46 37 47 °2 47 19 47 28 47 3° 47 27 47 18 47 °5 46 47 46 25 46 00 45 31 45 0° 44 27 43 50 43 12 42 31 41 49 41 04 40 19 39 31 38 42 37 52 37 00 36 07 35 13 34 17 33 21 32 24 31 25 30 26 29 26 28 25 27 23 26 20 25 17 24 13 23 08 22 02 20 56 19 5° 18 43 17 35 16 27 15 18 14 10 13 00 " 51 10 40 9 3° 8 19 7 08 5 57 4 46 3 35 2 24 1 12 o 00 o 00 5 22 1° 35 15 3° 20 02 24 06 27 43 30 53 33 3° 35 56 37 54 39 32 4° 54 42 01 42 55 43 36 44 09 44 32 44 48 44- 57 44 58 44 5° 44 47 44 35 44 17 43 57 43 33 43 06 42 36 42 04 41 29 4° 52 40 14 39 32 38 49 38 05 37 19 3° 31 35 43 34 53 34 °I 33 °8 32 14 31 20 3° 24 29 27 28 30 27 3° 26 31 25 3° 24 29 23 27 22 25 21 22 20 18 19 14 18 09 17 03 15 57 14 51 13 44 12 37 II 29 10 21 2 I3 8 04 °55 5 47 4 37 3 28 2 19 I 10 o 00 ' / 00 00 4 41 4 06 9 14 8 07 13 3° 11 59 15 38 17 40 21 24 19 01 24 45 22 07 27 44 24 5° 3° 23 27 26 32 40 29 38 34 38 31 35 3° 19 *33 1° 37 44 34 43 38 55 35 57 39 54 37 °° 40 42 37 51 41 20 38 33 41 49 39 °7 42 10 39 33 42 24 39 52 42 31 40 04 42 33 40 10 42 30 40 11 42 22 40 08 42 09 40 00 41 53 39 48 41 34 39 33 41 II 39 14 40 46 38 52 40 16 38 27 39 46 37 59 39 12 37 29 38 36 3° 57 37 59 36 23 37 19 35 47 3°38 35 °9 35 55 34 28 35 11 33 48 34 25 33 °4 33 37 32 19 32 4S 31 33 31 58 30 46 31 °7 29 58 3° 15 29 08 29 22 28 17 28 27 27 25 27 31 26 33 26 35 25 39 25 38 24 44 24 41 23 48 23 41 22 51 22 42 21 55 21 42 20 56 20 41 19 59 19 39 18 59 18 36 'I 5 ?, 17 35 1658 16 31 15 57 15 26 14 56 14 23 13 53 13 18 12 52 12 13 11 49 11 07 10 45 10 02 9 42 8 56 838 7 49 7 34 6 43 6 29 5 36 5 25 4 29 4 20 3 22 3 15 2 15 2 10 1 07 1 °5 00 00 ll. o 11 12 III. 00 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 i 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to Fast- =„/! when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' **«i, ana In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to Fast- ™,i when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. iisi, ana When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour ano-1*. a ,„i «,. supplement of the tabulated azimuth is to be taken for the required true bearing. ™ nour angle and the 241 AZIMUTH OR TRUE BEARING. LATITUDE 5»°. DECLINATION- SAME NAME AS— LATITUDE. LATITUDE 59°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° / 33° 34° 35° Hour Angle. li. in. o / / / / / / r / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00' 180 00 180 00 180 00 180 00 180 00 00 10 176 01 175 57 175 52 175 48 175 43 175 38 175 32 175 26 175 2° 175 14 175 °° 174 58 lO 20 172 04 171 55 171 46 171 37 171 27 171 17 171 06 17° 55 170 42 170 28 170 15 169 59 20 30 168 08 167 54 163 58 167 42 167 28- 167 14 166 59 166 43 166 25 166 07 165 47 165 27 165 04 30 40 164 13 163 40 163 23 163 03 162 44 l62 22 162 00 161 37 161 11 160 44 160 14 40 50 160 23 160 04 159 43 159 21 158 59 158 34 I58 08 157 4i 157 12 156 42 156 09 155 33 50 1 00 156 35 156 14 155 50 155 25 154 58 154 29 154 °o 153 28 152 55 152 20 151 42 151 °2 1 OO 10 152 55 149 18 152 29 152 02 151 33 151 °3 15° 31 150 08 149 23 148 46 148 06 147 24 146 39 10 i. 20 148 49 148 19 147 48 147 14 146 39 I46 03 145 25 144 44 144 01 143 15 142 26 20 30 H5 4° 145 15 144 42 144 08 143 33 142 55 142 16 Hi 34 140 51 140 05 139 17 138 24 30 40 142 20 141 47 141 12 140 36 139 57 139 17 138 37 137 52 137 °7 136 18 135 27 134 33 40 50 13859 138 24 137 48 137 °9 136 29 135 48 135 05 134 19 133 32 132 42 131 49 13° 53 50 2 OO 135 43 135 07 134 29 >33 49 133 °8 132 24 131 40 130 53 130 04 129 n 128 18 127 21 2 00 10 Ij2 34 131 56 13' 17 ■ 3° 3° 129 53 129 09 128 23 127 35 126 44 125 52 124 57 123 59 10 20 129 30 128 51 128 10 127 28 126 44 125 59 125 12 124 24 123 33 122 40 121 44 120 46 20 30 120 29 125 50 125 10 124 26 123 42 122 57 122 09 121 19 120 28 "9 35 118 39 "7 42 30 40 123 36 122 56 122 14 121 31 12047 120 00 119 12 118 23 117 30 116 36 "5 41 114 44 40 5b 120 48 120 07 119 25 118 40 117 56 117 09 116 21 "5 32 114 40 113 46 112 49 "J 53 50 a OO 118 03 117 21 116 39 "5 55 115 10 114 24 "3 35 "2 45 in 54 in 01 no 06 109 09 3 00 lO 115 22 114 41 113 58 113 15 112 29 in 42 11° 55 no 05 109 14 108 21 107 27 106 30 10 20 112 46 112 05 III 22 no 38 109 53 109 06 108 18 107 30 106 39 i°5 47 104 52 i°3 57 20 30 no 14 109 33 108 50 108 06 107 21 106 35 105 48 104 59 104 09 103 16 102 24 101 29 30 40. 107 4.5 107 04 I06 21 105 38 104 53 104 07 103 21 102 32 101 43 100 51 99 59 99 °5 40 50 105 19 104 38 103 56 i°3 13 102 29 101 43 100 57 100 09 99 21 98 3° 97 38 96 46 50 4 OO 102 58 102 16 1 01 35 100 51 100 08 99 23 98 37 97 5° 97 °2 96 12 95 22 94 29 4 OO 10 100 37 99 57 99 15 98 32 97 5° 97 °5 96 20 95 33 94 45 93 57 93 07 92 16 10 20 98 20 97 4° 9° 59 96 16 95 34 94 50 94 05 93 20 92 33 §1 45 8938 2 056 . 90 06 20 30 96 06 ' 95 26 94 45 94 03 93 21 92 38 91 54 91 09 90 23 88 48 8758 30 40 93 53 93 14 92 33 91 53 91 11 90 28 »9 45 89 01 88 15 87 29 86 42 85 54 40 50 91 42 91 04 90 24 89 43 89 02 88 20 87 37 86 54 86 10 8524 84 38 83 5i 50 5 00 89 33 88 54 88 15 87 35 86 55 86 13 85 31 84 49 84 06 83 21 82 36 81 49 5 OO lO 87 25 86 48 86 08 85 29 84 49 84 09 83 28 82 46 82 03 81 19 80 35 79 5° 10 20 35 19 84 42 84 04 83 25 82 46 82 05 81 25 80 44 80 02 79 19 78 37 77 52 20 30 83 14 82 37 82 00 81 21 80 43 80 03 79 24 7844 78 03 77 21 76 39 75 55 30 40 81 10 80 34 79 57 79 19 78 41 78 02 77 24 76 44 76 03 75 23 74 4i 73 59 40 | 50 79 °7 78 31 77 55 77 18 76 41 76 03 75 25 74 46 74 07 73 26 72 46 72 05 50 6 00 77 °4 76 29 75 54 75 17 74 41 74 03 73 27 7248 72 09 71 30 70 50 70 10 6 OO 10 75 ° 2 74 28 73 52 73 17 72 41 72 05 71 28 70 51 70 13 68 18 69 34 68 56 68 16 10 20 72 59 72 27 71 54 71 18 70 43 70 07 69 31 68 55 67 40 67 02 66 24 20 i 30 71 00 70 27 69 53 69 19 68 44 68 09 67 34 66 58 66 22 65 45 65 09 64 31 30 j 40 68 59 68 27 67 54 67 20 66 46 66 12 65 37 65 02 64 27 °3 5i 6 3 15 62 39 40 j 50 66 58 66 26 65 54 65 21 64 48 64 14 63 4i 63 07 62 33 61 57 61 22 60 47 50 7 00 64 57 64 26 63 54 63 22 62 50 62 17 61 45 61 12 60 38 60 03 59 29 58 55 7 00 ! 10 62 56 62 25 61 54 61 23 60 52 60 20 59 47 59 15 5842 58 09 57 36 57 °2 lO 20 60 55 60 25 59 55 59 24 58 54 58 22 57 5i 57 19 5648 56 15 55 43 55 10 20 30 58 54 58 25 57 55 57 25 5° 55 5° 24 55 54 55 24 54 53 54 21 53 5° 53 18 30 40 56 52 5° 23 55 54 55 25 54 5° 54 27 53 57 53 28 52 58 52 27 51 57 51 26 40 50 54 49 54 22 53 53 53 25 52 57 52 29 52 00 51 3i 51 ° 2 50 32 50 02 49 33 50 8 OO 52 46 52 20 51 52 51 24 50 57 50 29 50 01 49 33 49 °5 48 36 48 08 47 39 8 OO 10 5" 43 5° 17 49 50 49 24 4858 48 30 48 03 47 36 47 °9 46 41 46 14 45 46 10 20 48 38 48 13 47 47 47 22 46 56 46 30 46 04 45 38 45 12 44 45 44 19 43 52 20 30 30 46 34 46 10 45 44 45 20 44 55 44 3° 44 °5 43 4° 43 15 42 48 42 23 41 58 40 44 28 44 °5 43 41 43 17 42 53 42 28 42 05 41 41 41 17 4° 51 40 27 40 03 40 50 42 22 41 59 41 3° 41 13 40 50 40 27 40 04 39 41 39 18 38 55 38 31 38 07 50 9 OO 40 18 39 52 39 31 39 °9 38 47 38 25 38 02 37 4> 37 18 36 55 36 33 36 n 9 00 10 10 38 06 37 4 6 37 24 37 °3 36 43 36 22 36 00 35 4° 35 19 34 57 34 36 34 15 20 35 58 35 38 35 18 34 58 34 38 34 19 33 58 33 38 33 19 32 58 32 38 3? 18 20 30 30 33 48 33 29 33 10 32 51 32 33 32 14 31 55 31 36 31 17 3° 57 30 39 30 20 40 31 37 31 19 31 01 3° 44 30 26 30 08 29 51 29 33 29 16 2857 28 40 28 21 40 50 29 25 29 09 28 52 28 36 28 20 28 03 27 47 27 3° 27 13 26 56 26 39 26 23 50 10 00 27 '3 26 58 26 43 26 27 26 12 25 56 25 42 25 25 25 10 24 55 24 39 24 23 10 00 10 20 10 25 00 24 46 24 32 24 18 24 03 23 49 23 35 23 21 23 °7 22 52 22 38 22 23 20 22 47 22 33 22 21 22 08 21 55 21 42 21 28 21 15 21 02 20 49 20 36 20 23 . 30 20 33 20 20 20 09 19 57 19 46 19 34 19 22 19 10 18 57 18 46 18 34 18 22 30 40 50 40 18 17 18 07 17 5° 17 45 17 35 17 24 17 14 17 °3 16 53 16 42 16 31 16 21 50 16 01 15 52 15 43 15 33 15 25 15 15 15 °° 14 57 14 47 14 37 14 28 14 19 11 OO 13 45 '3 37 '3 29 13 21 13 13 13 °5 12 57 12 49 12 41 12 33 12 25 12 17 11 00 10 10 II 28 II 22 II 15 n 08 11 02 1° 54 10 48 10 42 1° 35 10 28 10 21 10 15 20 9 12 9 06 9 01 8 55 8 50 8 44 8 39 8 34 8 28 8 23 8 18 8 13 20 30 40 50 30 6 53 6 50 6 46 6 42 638 6 33 6 29 6 25 6 21 6 17 6 13 6 10 40 4 36 4 33 4 31 4 28 4 25 4 22 4 20 4 17 4 14 4 12 4 °9 4 <>7 50 2 18 2 17 2 15 2 14 2 13 2 11 2 10 2 09 2 07 2 06 2 05 2 03 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In Sorth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 — 02- -16 242 AZIMUTH OR TRUE BEARING. LATITUDE 50°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 59°. Hour Angle, 36° 37° SB 39° 40° ,41° 42° 43° 44° 45° 46° 47° Hour Angle. Ji. in, o / 1 / / / / / / / / / / H. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 174 50 174 40 174 31 174 20 174 08 173 55 173 39 173 23 173 05 T 4 2 165 36 158 42 172 18 171 50 l'O 20 169 42 169 24 169 05 168 43 168 19 167 54 167 25 166 52 166 15 164 47 163 53 20 30 164 40 164 13 163 45 163 13 162 38 162 01 161 19 160 33 159 4i 157 35 156 18 30 40 159 43 159 °9 158 32 157 53 157 08 156 20 155 28 154 29 153 24 152 11 150 48 149 15 40 50 154 55 154 15 153 31 152 44 151 51 150 55 149 53 148 44 147 30 146 05 144 31 142 44 50 1 00 150 19 149 31 148 41 147 48 146 49 145 45 144 36 143 20 ?4i 57 140 25 138 43 136 48 1 OO 10 145 Si 144 59 144 05 143 05 142 02 140 52 139 38 138 17 136 47 135 10 133 23 131 24 10 20 30 141 36 140 40 139 41 138 38 137 31 136 17 134 59 133 33 132 02 130 21 128 31 126 30 20 137 30 136 3 2 135 3° 134 25 133 14 131 58 130 37 129 10 127 36 125 54 124 03 122 02 30 40 50 133 37 132 36 131 32 130 24 129 12 127 54 126 33 125 04 123 28 121 47 119 5» 117 58 40 "9 54 128 52 127 47 126 38 125 24 124 05 122 43 121 15 119 40 n8 00 116 lit "4 15 50 2 00 10 20 30 40 50 126 22 125 19 124 12 123 03 121 49 120 29 119 07 117 39 116 06 114 27 112 41 no 48 2 00 122 59 121 55 120 49 119 40 118 25 117 07 "5 45 114 18 112 47 in 09 109 27 107 37 IO "9 45 118 42 117 36 116 26 115 12 113 55 112 35 III 09 109 40 108 05 106 24 104 39 20 116 40 115 37 114 131 113 22 112 09 no 53 109 34 108 10 106 42 105 10 103 33 101 51 30 "3 43 112 40 "I 34 no 27 109 15 108 00 106 42 105 21 103 55 102 25 100 52 99 12 40 no 54 109 51 108 46 i°7 39 106 29 105 15 103 59 102 40 101 16 99 50 98 19 96 44 50 3 00 10 20 30 40 50 ro8 10 107 08 106 04 104 58' 103 50 102 37 101 24 100 06 98 45 97 21 95 53 94 21 3 00 105 32 104 31 103 28 102 24 101 17 100 05 98 53 97 38 96 20 94 58 93 33 92 04 IO 103 00 102 00 100 59 99 55 98 49 97 40 96 29 95 16 94 01 92 41 91 20 89 53 87 48 20 100 33 98 10 99 33 98 34 97 32 96 27 95 20 94 11 93 00 91 46 90 29 89 10 30 97 12 96 13 95 12 " 94 09 93 04 91 57 90 45 89 36 88 22 87 06 8546 40 95 5i 94 54 93 56 92 57 91 55 90 52 89 47 88 40 87 30 86 18 85 04 83 47' 50 4 00 10 20 30 40 50 93 36 92 40 91 44 90 46 89 47 " 88 44 8741 86 36 85 28 84 19 83 06 81 53 4 00 91 24 90 29 89 34 8838 87 39 86 38 85 37 84 33 83 28 82 21 81 II 79 59 10 89 15 88 22 87 28 8633 8536 84 36 83 36 82 35 81 31 80 26 79 19 7» 09 20 87 09 86 17 85 22 84 30 83 35 82 37 81 39 80 39 79 37 78 34 77 28 76 21 30 85 04 83 03 84 14 83 23 82 30 81 35 80 39 79 43 78 45 77 45 76 43 75 40 74 35 40 82 13 81 23 80 31 79 38 78 44 77 49 76 52 75 55 74 55 73 53 72 51 50 5 00 10 20 30 40 50 81 02 80 14 79 25 78 35 77 44 76 50 75 56 75 02 74 05 73 07 72 07 71 07 5 OO 79 04 78 17 77 29 76 39 75 49 74 58 74 06 73 12 72 18 71 21 70 24 69 25 10 77 07 76 20 75 34 74 47 73 57 73 06 72 16 7i 24 70 51 69 37 68 41 67 44 20 75 " 74 26 73 4° 72 54 72 06 71 16 70 27 69 37 68 46 67 52 6659 66 03 30 73 16 72 32 71 47 71 02 70 16 69 27 68 40 67 51 67 00 66 09 65 16 64 23 40 7i 23 70 39 69 56 69 12 68 27 67 40 66 54 66 06 65 17 64 27 6336 62 44 50 6 00 10 20 30 40 50 ? 3 2 S 47 68 05 67 22 66 38 65 53 65 07 64 21 6 3 34 62 45 fi i 55 61 05 6 OO 67 36 66 55 66 14 65 32 64 49 64 06 63 21 6236 61 51 61 04 60 16 59 27 10 65 45 65 05 64 25 63 44 63 03 62 19 61 36 60 53 60 09 59 23 5836 57 50 20 63 54 63 14 62 34 61 55 61 15 60 33 59 52 59 10 58 26 57 42 56 57 56 11 30 62 02 61 23 60 46 60 07 59 27 58 47 5807 57 26 56 44 56 01 55 17 54 33 40 60 II 59 34 58 57 58 19 57 4i 57 06 56 23 55 43 55 02 54 21 53 38 52 55 50 7 00 10 20 30 40 50 58 20 56 28 57 44 57 08 56 31 55 54 55 16 54 39 54 00 53 20 52 40 51 59 51 17 7 OO 55 54 55 18 54 43 54 07 53 30 52 53 52 16 5i 37 50 59 50 19 49 39 10 54 37 52 46 54 03 53 29 52 55 52 20 51 44 51 09 50 33 49 56 49 18 48 40 48 01 20 52 13 51 40 51 07 5° 33 49 58 49 25 48 49 4» 14 47 37 47 00 46 23 30 50 55 5° 23 49 51 49 18 48 46 48 13 47 39 47 05 46 32 45 56 45 20 44 45 40 49 <=3 48 32 48 01 47 31 46 59 46 27 45 55 45 22 44 49 44 15 43 40 43 06 50 8 00 10 20 30 40 50 47 10 45 18 46 40 46 10 45 41 45 11 44 39 44 08 43 36 43 05 42 33 42 00 41 27 8 00. 44 5° 44 21 43 52 43 22 42 52 42 23 41 53 40 08 41 22 40 51 40 19 39 48 10 43 25 42 58 42 30 42 02 41 34 41 05 40 37 39 39 39 °9 38 38 38 08 20 41 32 39 38 41 05 40 38 40 12 39 46 39 18 38 50 38 22 37 54 37 26 36 56 36 27 30 39 12 38 47 38 21 37 56 37 29 37 °3 36 36 36 10 35 42 35 15 34 47 40 37 43 37 19 36 55 36 31 36 06 35 41 35 15 34 51 34 25 33 59 33 32 33 05 50 9 00 10 20 30 40 50 35 48 35 25 35 02 34 38 34 16 33 51 33 28 33 04 32 39 32 14 31 49 31 24 9 00 33 53 33 3i 33 09 32 47 32 25 32 01 31 40 31 17 30 54 30 30 30 06 29 42 10 31 57 31 36 31 15 3° 54 3° 34 30 12 29 51 29 29 29 08 28 45 28 22 28 00 20 30 '00 29 41 29 21 29 02 28 42 28 21 28 02 27 42 27 20 27 00 26 39 26 17 30 28 03 26 06 27 44 25 48 27 26 27 08 26 49 26 30 26 II- 25 52 25 34 25 14 24 54 24 34 40 25 31 25 14 24 57 24 39 24 22 24 04 23 46 23 28 23 09 22 51 50 10 00 10 20 30 40 50 24 °7 23 51 23 36 23 19 23 04 22 47 22 31 22 15 21 58 21 41 21 24 21 07 10 00 22 09 21 53 19 56 21 39 21 24 21 10 20 54 20 40 20 25 20 09 19 54 19 38 , 19 23 10 20 10 19 43 19 30 19 17 19 02 18 49 18 35 18 22 18 07 17 53 17 38 20 18 11 16 11 17 58 17 46 17 34 17 22 17 °9 16 57 16 45 16 32 16 19 16 06 '15 54 30 16 00 15 49 15 37 15 27 15 15 15 °5 14 54 14 43 14 31 14 20 14 08 40 14 10 14 00 13 51 13 41 13 31 13 22 13 12 13 03 12 53 12 43 12 33 12 23 50 11 00 10 20 30 40 50 12 00 12 10 12 01 11 52 11 45 11 36 II 28 11 20 11 11 II 03 10 55 10 46 10 38 11 00 10 08 8 07 6 05 10 01 9 55 9 48 9 41 9 34 9 26 9 20 9 13 9 06 8 59 851 IO 8 02 7 56 7 51 7 45 7 39 7 34 7 29 7 22 7 16 7 n 7 05 20 6 01 5 57 5 53 5 49 5 45 5 40 5 36 5 32 5 28 5 24 5 19 30 4 03 4 01 3 58 3 56 3 52 3 50 3 47 3 44 3 41 3 39 3 36 3 33 40 2 02 2 00 1 S9 1 58 1 56 1 55 1 53 1 52 I 51 1 50 I 48 1 46 50 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. . ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour allele and the supplement of the tabulated azimuth is to be taken for the required true bearing. 243 AZIMUTH OR TRUE BEARING. LATITUDE 59°. 'DECLINATION— SAME NAME AS-I.ATITUDE. LATITUDE 59° Hour Angle. h. 48° 13 in. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 8o oo 71 16 62 39 54 5° 47 28 40 45 34 41 29 14 24 19 19 53 15 52 12 II 08 48 05 41 02 47 00 04 97 30 95 °5 92 46 9° 33 88 26 86 23 84 24 82 28 80 36 78 45 76 58 75 13 73 29 71 46 70 05 68 24 66 45 65 06 63 28 61 51 60 14 58 37 57 01 55 25 53 48 52 11 50 35 48 58 47 21 45 45 44 08 42 30 40 52 39 14 37 36 35 58 34 18 32 38 3058 29 18 27 37 25 56 24 14 22 32 20 49 19 06 17 24 15 40 13 57 12 11 10 28 8 44 6 59 5 14 3 3° 1 45 o 00 180 00 170 37 161 34 153 06 145 23 138 28 132 iS 126 48 121 55 117 31 "3 33 109 59 106 40 i°3 39 100 49 98 II 95 42 93 20 91 06 88 57 86 53 84 54 82 59 81 06 79 17 77 30 75 45 74 02 72 19 70 40 69 00 67 22 65 44 64 08 62 31 60 57 59 21 57 46 56 II 54 37 53 02 51 26 49 52 48 16 46 42 45 °° 43 31 41 55 40 18 38 41 37 °4 35 27 33 47 32 II 30 32 28 53 27 13 25 34 23 54 22 12 20 32 18 51 17 09 15 27 13 45 12 02 10 19 8 37 6 54 5 1° 3 27 I 43 00 180 00 169 48 160 02 151 °3 142 59 135 51 129 36 124 06 119 15 "4 57 III 05 107 36 104 24 101 29 98 46 96 12 93 49 91 32 89 23 87 18 85 18 83 23 81 31 79 42 77 56 76 11 74 29 72 49 71 09 69 32 67 55 66 19 64 44 63 09 61 34 60 01 58 28 56 54 55 21 53 48 52 >5 50 41 180 00 168 48 158 12 148 36 140 09 132 52 126 34 121 07 116 20 112 09 10S 26 105 04 102 00 99 11 9 b 35 94 10 91 5° 89 39 87 35 85 35 83 40 47 34 46 01 44 27 42 53 41 18 39 44 38 08 36 32 34 57 33 21 31 43 30 06 28 28 26 50 25 12 23 33 21 54 20 14 18 35 16 54 15 13 13 33 II 51 10 10 8 29 6 48 5 05 3 24 1 42 o 00 I 80 00 78 15 76 32 I 74 51 73 11 71 34 69 57 68 22 66 47 65 13 63 41 62 08 60 36 59 °4 57 32 56 00 54 3° 52 58 51 27 49 55 48 23 46 51 45 19 43 47 42 14 40 41 39 °7 37 34 35 59 34 25 32 50 31 15 29 39 28 02 26 26 24 49 23 12 21 34 19 56 18 17 16 39 15 °° 13 21 II 41 10 01 8 22 6 42 5 01 , 3 21 I 40 00 53° 54° 55° 56° 57 180 00 167 31 155 53 145 36 136 48 129 23 123 07 117 45 113.09 109 07 105 34 102 22 99 26 96 48 94 18 91 58 89 46 87 42 85 42 8348 81 58 80 11 78 26 76 45 75 06 73 27 7i 51 70 17 68 43 67 II 65 39 64 °7 62 36 61 06 59 36 58 07 5636 55 06 53 38 52 08 5038 49 08 47 38 46 07 44 36 43 °6 41 35 40 04 38 32 36 59 35 27 33 54 32 20 30 46 29 II 27 37 26 02 24 27 22 51 21 15 19 38 18 01 16 24 14 47 13 08 II 31 9 53 8 14 6 35 4 56 3 18 I 39 o 00 180 00 165 50 152 54 141 53 132 4° 125 19 119 11 114 01 109 37 105 52 102 27 99 27 96 43 94 12 91 52 89 4i 87 36 85 38 ! 34 § 81 5° 80 11 78 29 76 49 75 12 73 36 72 01 70 28 6857 67 27 65 56 64 27 62 58 61 30 60 01 58' 34 57 °7 55 39 54 11 52 44 51 16 49 47 48 20 46 51 45 23 43 54 42 25 40 55 39 25 37 55 36 24 34 52 33 22 31 49 3° 17 28 44 27 II 25 37 24 03 22 29 20 55 19 19 17 44 16 08 14 32 12 56 II 20 9 43 8 06 6 29 4 52 3 15 I 37 o 00 180 00 163 31 149 00 137 12 127 54 120 36 "4 43 109 52 i°5 47 102 14 99 08 96 21 93 5° 91 30 89 19 87 17 85 21 83 3° ,81 44 80 01 78 21 76 44 75 °9 73 36 72 04 70 33 69 04 67 36 66 08 64 41 63 15 61 49 60 23 58 57 57 31 56 06 54 40 53 15 51 49 50 23 48 57 47 31 46 04 44 37 43 10 41 42 40 14 38 46 37 17 35 48 34 18 32 49 3i 19 29 47 28 17 26 45 25 13 23 40 22 08 20 34 19 01 17 26 15 53 14 18 12 44 II 09 9 34 7 59 6 23 4 47 I 36 00 180 00 ifao 09 143 3° 131 12 122 01 115 t>5 109 39 105 14 101 33 98 22 95 35 93 05 90 47 88 41 86 40 84 47 83 00 81 17 79 38 78 01 76 27 74 55 73 25 71 57 70 29 69 03 67 37 66 12 64 48 63 24 60 36 59 13 57 50 56 27 55 °3 53 4° 52 16 5° 52 49 29 48 05 46 40 45 15 43 50 42 24 4° 59 39 33 38 06 36 39 35 II 33 44 32 15 30 47 29 17 27 47 26 16 24 47 23 16 21 45 20 13 18 42 17 09 15 37 14 °4 12 31 10 58 9 24 7 5° 6 16 4 42 3 09 I 34 00 180 00 154 49 136 01 123 28 "4 54 108 42 l°3 59 100 10 96 59 94 14 91 48 8936 87 34 85 40 83 53 82 II 80 33 78 58 77 27 75 57 74 3° 73 °4 7i 39 70 14 68 5 < 67 28 66 07 64 46 63 25 62 04 60 43 59 22 58 02 56 41 55 21 54 00 52 38 51 17 49 55 48 34 47 11 45 49 44 26 43 °3 41 39 4° 15 3851 37 26 36 00 34 34 33 °8 31 42 3° 14 28 47 27 18 25 50 24 21 22 52 21 23 18 22 16 52 15 21 13 49 12 18 10 47 9 14 7 42 6 10 4 38 3 °5 1 33 00 1 180 00 145 24 124 55 113 3° 106 23 101 26 97 4i 94 39 92 05 89 49 87 48 85 57 84 12 82 34 81 00 79 29 78 01 76 35 75 12 73 49 72 27 71 07 69 48 68 29 67 10 65 52 64 35 63 16 62 00 60 42 59 23 58 06 56 49 55 3° 54 12 52 54 51 35 5° 15 48 57 47 36 46 16 44 56 43 35 42 13 4° 51 39 3° 38 07 36 44 35 19 33 56 32 31 31 °7 29 41 28 15 26 49 25 22 23 55 22 27 20 59 19 31 18 02 16 33 15 °4 13 35 12 05 10 34 9 °4 7 33 6 03 4 32 3 02 I 31 00 59° 180 00 126 21 108 48 101 06 96 32 93 20 9° 5° 88 43 86 52 85 10 83 36 82 07 80 42 79 20 77 59 76 40 75 23 74 07 72 52 71 36 70 22 69 08 67 54 66 41 6526 64 13 62 59 61 46 . 60 32 59 17 58 03 56 49 55 33 54 18 53 03 5i 47 50 3° 49 13 47 57 4638 45 20 44 °2 42 43 41 23 40 03 38 43 37 23 36 01 34 39 33 17 31 54 3° 31 29 07 27 43 26 18 24 53 23 28 22 01 20 35 19 09 17 43 16 15 14 47 13 19 11 5i 10 23 8 55 7 25 5 56 4 28 2 59 I 29 o 00 Hour Angle. b. O 88 56 87 51 86 47 85 43 8438 83 34 82 29 81 24 80 19 79 14 78 09 77 04 75 58 74 53 73 46 72 40 7i 34 70 27 69 20 68 13 67 °5 65 57 64 49 63 40 62 31 61 22 60 12 59 02 57 51 56 40 55 28 54 16 53 04 51 5 l 50 38 49 24 48 09 46 55 45 39 44 23. 43 °7 41 50 40 32 39 14 37 56 36 37 35 18 33 57 32 37 31 16 29 55 28 33 27 10 25 47 24 24 23 00 21 36 20 12 1847 17 22 15 56 14 30 13 °4 II 37 10 11 844 7 17 5 50 4 22 2 55 1 27 o 00 10 11 12 in. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 00 ■., ^ -. *■* j u ,-h*. =l „ is rlsitiir or East of the meridian, the tabulated azimuths are reckoned from North to East; and in North latitude, when the star i: 3 ni »M ° r ^|\f bu iated azimuths are reckoned from North to West, when the star is setting or West of the meridian the ta hul £^£» azimuths are reckoned from South to g and in South latitude, when the starts « r E ^ ^ ftSiufi. are reckoned from South to West. wh w^r s^—^ -^ ** — ° f the — — - *« supplement of the tabulated azimuth is to be taken for the required true bearing. 244 AZIMUTH OR TRUE BEARING. LATITUDE 59°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 59°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / / / / 1 / / / r v o / li. 111. 00 OO 00 ob 00 00 00 00 00 00 00 00 O 00 10 5° 41 30 56 21 14 15 4° 12 20 9 59 8 15 6 58 5 58 5 08 4 28 10 20 66 22 49 12 37 13 29 °3 23 20 19 10 16 03 13 38 11 42 10 08 8 30 20 30 72 04 5» 43 47 41 39 °2 32 20 27 08 23 02 19 45 17 05 14 52 13 00 30 40 74 34 63 55 54 22 46 10 39 21 33 43 29 °3 25 11 21 58 19 14 16 55 40 50 75 42 66 54 58 39 51 12 44 39 38 57 34 °4 29 54 26 18 23 12 20 32 50 1 00 76 06 68 39 61 29 54 46 •48 37 43 °° 38 12 33 53 30 05 26 44 23 48 1 OO 10 76 °5 °9 37 63 19 57 16 51 35 46 20 41 33 37 13 33 20 29 51 26 42 10 20 75 48 70 07 64 29 59 02 53 47 48 50 44 14 39 58 36 06 32 32 29 17 20 30 75 20 70 16 65 12 60 14 55 23 50 46 46 21 42 14 38 25 34 5° 31 33 30 40 74 45 70 11 65 36 61 02 5° 34 52 13 48 02 44 05 40 20 36 48 • 33 3i * 35 11 40 50 74 05 °9 55 °5 44 61 31 57 22 53 18 49 21 45 32 41 55 38 27 50 2 00 73 20 69 3i 65 3? 61 46 57 54 54 °S 50 20 46 42 43 13 39 49 36 38 2 OO 10 72 31 69 00 65 26 61 49 58 12 54 37 51 °5 47 36 44 14 40 58 37 5° IO 20 71 4! 68 25 65 05 61 42 58 20 54 56 51 36 48 17 45 03 4 1 53 38 49 20 30 70 48 °7 45 6438 61 29 58 18 55 °7 51 56 48 46 45 4° 42 36 39 37 30 40 69 53 67 01 64 06 61 09 58 09 55 °° 52 07 49 06 46 07 43 10 40 17 40 50 68 57 66 15 63 31 60 43 57 53 55 02 52 09 49 17 46 25 43 35 40 47 50 3 00 67 59 6527 62 51 60 12 57 32 54 49 52 06 49 21 46 36 43 51 41 09 3 OO 10 67 00 64 36 62 09 59 39 57 06 54 32 51 56 49 17 46 40 44 °I 41 25 10 20 66 00 63 43 61 24 59 02 56 37 54 °9 51 39 49 09 46 37 44 05 41 34 20 30 64 59 62 49 60 37 58 21 56 03 53 43 51 20 48 55 46 30 44 03 41 37 30 40 63 57 61 54 59 47 57 38 55 26 53 12 5° 5° 48 37 46 17 43 56 41 35 40 50 62 54 So 57 5856 56 53 54 46 52 38 50 28 48 14 46 01 43 45 41 28 50 4 00 61 51 5 t 5 = 58 03 56 06 54 05 52 02 49 57 47 49 45 4° 43 29 41 17 4 OO 10 60 47 58 58 57 09 55 16 53 20 51 22 49 22 47 19 45 1° 43 10 41 02 10 20 59 4i 57 59 56 13 54 24 52 34 51 4° 5° 41 48 46 4° 47 44 48 42 46 4° 43 20 30 58 36 56 57 55 16 53 32 49 58 48 06 46 13 44 18 42 21 40 21 30 40 57 3° 55 55 54 17 52 38 5° 56 49 12 47 25 45 36 43 45 41 52 39 57 40 50 56 22 54 51 53 18 51 43 5° 05 48 24 46 42 44 57 43 1° 41 21 39 29 50 5 OO 55 I? 53 47 52 17 50 45 4948 49 11 47 35 45 56 44 15 42 32 40 46 38.59 5 OO 10 54 °£ 52 43 51 16 48 17 46 44 45 °9 43 32 41 53 40 10 38 27 10 20 52 58 51 36 5P 13 48 49 47 21 45 52 44 21 42 4° 41 II 39 32 37 52 20 30 5148 5° 30 49 10 48 06 47 48 46 24 45 26 44 58 43 29 41 59 40 27 38 53 37 15 30 40 50 38 49 22 46 47 44 03 42 38 41 II 39 42 38 10 36 37 40 50 49 2 7 48 15 47 01 45 45 44 27 43 °7 41 45 40 21 38 55 37 27 35 57 50 6 00 48 16 47 06 45 55 44 4i 43 27 42 09 4° 51 39 3° 38 07 36 41 35 15 6 00 10 47 °5 45 57 44 4» 43 38 42 25 41 10 39 55 38 37 37 17 35 54 34 3 1 10 20 45 52 44 47 43 41 42 32 41 23 40 12 3858 37 43 3° 27 35 07 33 46 20 30 44 38 43 3° 42 33 41 27 40 20 39 11 38 00 36 48 35 34 34 17 33 °° 30 40 . 43 2 4 42 24 41 24 40 21 39 16 38 09 37 °i 35 51 34 40 33 27 32 12 40 50 42 II 41 13 40 13 39 13 38 11 37 07 36 01 34 54 33 4° 32 35 31 23 50 7 00 46 56 40 00 39 °4 38 05 37 05 36 04 35 01 33 56 32 5° 31 42 3° 32 7 00 10 39 41 38 47 37 52 36 5° 35 59 35 °° 34 °° 32 57. 31 53 30 48 29 41 IO 20 38 25 37 33 36 41 35 47 34 51 33 55 32 57 31 57 3" 5° 29 53 28 48 20 30 37 °9 36 19 35 28 34 37 33 43 32 49 31 54 30 5° 29 58 28 57 27 55 30 40 35 51 35 04 34 16 33 25 32 35 31 43 30 49 29- 55 2859 28 01 27 01 40 50 34 34 33 48 33 °2 32 14 31 25 3° 3° 29 45 28 52 27 58 27 02 26 06 50 8 00 33 15 32 32 31 48 31 02 30 16 29 28 2839 27 48 26 57 26 04 25 10 8 OO 10 31 57 31 15 30 33 29 49 29 05 28 19 27 33 26 44 25 55 25 04 24 13 10 20 3° 37 29 58 29 18 28 36 27 53 27 10 26 26 25 40 24 53 24 °4 23 r 5 20 30 29 18. 28 40 28 02 27 22 26 42- 26 00 25 18 24 34 23 5° 23 03 22 16 30 40 27 57 27 22 26 46 26 08 25 3° 24 5° 24 10 23 28 22 46 22 02 21 17 40 50 26 37 26 03 25 29 24 53 24 17 23 39 23 °i 22 21 21 42 21 00 20 17 50 9 00 25 17 24 43 24 11 23 38 23 °3 22 27 21 52 21 14 20 36 19 57 19 17 9 OO 10 23 54 23 24 22 53 22 21 21 49 21 16 20 42 20 06 19 30 18 54 18 16 10 20 22 32 22 04 21 34 21 05 20 35 20 04 19 32 18 58 18 24 17 5° 17 14 20 30 21 10 20 43 20 16 19 48 19 19 18 50 18 20 17 49 17 18 1° 45 16 12 30 40 '9 47 19 22 18 5° 18 31 18 04 17 37 17 09 16 40 16 11 15 41 15 °9 40 50 18 24 18 01 17 38 17 13 16 48 16 23 15 58 15 30 15 °3 14 35 14 06 50 10 . 00 17 01 16 39 16 18 15 55 15 33 15 °9 14 45 14 21 13 55 13 29 13 °3 10 00 10 15 3° 15 17 14 57 14 37 14 16 13 54 13 33 13 1° 12 47 12 23 II 59 10 20 14 13 13 54 13 37 13 18 12 59 12 40 12 20 II 59 11 38 II 17 10 54 20 30 12 48 12 32 12 16 11 59 11 42 II 25 11 07 10 48 10 30 10 10 9 5° 30 40 11 24 11 09 10 55 10 39 10 25 10 09 9 53 9 37 9 20 9 °3 8 45 40 50 9 59 9 47 9 34 9 21 9 08 . 8 54 8 40 8 26 8 11 7 56 7 40 50 11 00 833 8 23 8 12 8 00 7 5° 7 38 7 26 7 13 7 01 6 48 6 35 11 00 10 7 08 6 59 6 50 6 41 6 32 6 22 6 12 6 01 5 51 5 40 5 29 10 20 5 43 5 35 5 28 5 21 5 13 5 05 4 57 4 5° 4 41 4 32 4 24 20 30 4 17 4 12 4 06 4 01 3 55 3 49 3 43 3 37 3 31 3 24 2 16 3 18 30 40 2 51 2 48 2 44 2 40 2 36 2 33 2 29 2 25 2 21 2 12 40 50 1 26 1 24 1 22 1 20 1 18 1 16 1 14 1 12 1 10 1 08 1 06 50 12 00 00 00 00 OD 00 00 00 00 9,0 00 00 12 00 In North latitude, when the star is rising or Eas of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 245 AZIMUTH OR TRUE BEARING. LATITUDE 60°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 60°. Hour angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour angle. li. in. o / / t / / / / / / / / ' ll. HI. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 180 00 180 00 180 00 00 10 20 30 40 50 176 07 176 03 176 00 175 55 175 50 175 46 175 4° 175 35 175 29 175 23. 175 17 175 09 10 172 14 172 07 171 59 171 50 171 42 171 32 171 22 171 12 171 00 170 48 170 35 170 21 20 168 25 168 12 168 00 1C7 48 167 35 167 21 167 06 166 50 166 34 166 16 105 57 105 3 6 30 164 36 164 20 164 05 163 48 163 3i 163 12 162 53 162 33 162 11 161 48 161 24 160 56 40 160 51 160 31 160 13 159 52 159 31 159 °9 158 45 158 20 157 54 157 26 156 56 156 23 SO 1 OO 10 20 30 40 50 157 09 156 47 156 24 156 01 155 36 155 11 154 43 154 14 153 43 153 10 152 36 151 59 1 00 153 30 153 06 152 41 152 14 151 46 151 17 150 46 150 13 149 38 149 02 148 24 147 42 10 149 57 149 30 149 02 148 32 148 01 147 29 146 56 146 20 "145 42 145 02 144 20 143 35 20 146 28 145 59 145 29 144 56 144 22 143 48 143 11 142 33 141 53 141 09 140 24 13° 3° 139 37 30 143 04 142 33 142 00 141 25 140 50 140 13 139 35 ' 138 53 138 11 137 26 135 49 40 139 46 139 12 138 38 138 02 137 24 13° 45 136 °5 135 22 134 38 133 51 133 02 132 10 50 2 OO 10 20 30 40 50 136 31 135 57 135 21 134 43 134 04 133 24 132 41 131 57 131 11 130 23 129 33 128 39 2 00 133 23 132 47 132 09 131 31 130 5° 130 09 129 25 128 40 127 52 127 03 126 12 125 17 lO 130 20 129 43 129 04 128 24 127 43 127 00 126 15 125 29 124 42 123 51 122 59 122 04 20 127 20 126 43 126 03 123 08 125 22 124 40 123 58 123 12 122 25 121 36 120 45 119 53 «8 57 30 124 26 123 47 122 26 121 44 121 00 120 15 "9 27 118 38 117 47 116 54 "5 59 40 121 37 120 58 120 17 II* 35 118 52 118 08 117 22 116 35 115 46 114 55 114 02 113 07 50 3 00 lO 20 30 40 50 Il8 52 118 12 117 32 116 49 116 06 115 22 114 36 113 48 "2 59 112 09 in 16 no 21 3 00 Il6 II 115 31 114 50 114 07 "3 23 112 40 hi 54 III 06 no 18 109 27 108 34 107 40 10 113 33 "2 53 112 12 in 3° no 46 no 03 109 17 108 29 107 41 106 51 105 59 105 05 20 III 00 no 19 109 39 108 57 108 13 107 30 106 44 '104 15 105 57 105 09 104 19 103 27 102 35 30 108 30 107 50 107 09 106 27 i°5 44 105 00 103 28 102 41 101 51 101 06 100 08 • 40 :c6 04 105 23 104 42 104 00 103 17 102 35 loi 49 101 03 100 16 99 27 98 38 97 47 50 4 OO * IA 103 40 102 59 102 19 101 37 100 55 100 12 99 27 98 43 97 56 97 08 96 18 95 28 4 00 lO 101 18 100 38 99 59 99 1° 98 35 97 53 97 09 96 24 94 08 95 37 94 50 94 02 93 13 10 20 30 98 59 98 21 97 4o 9° 59 96 18 95 3° 94 53 93 23 92 3° 91 48 91 00 20 96 43 96 04 95 24 94 44 94 03 93 22 92 39 91 55 91 11 90 25 8938 88 51 30 40 94 29 93 50 93 H 92 32 91 51 91 10 90 28 89 45 89 01 88 16 87 30 8643 40 50 92 17 91 38 91 00 90 20 89 40 89 00 88 18 87 3° 86 53 86 09 85 24 8438 50 5 OO 90 05 89 27 88 49 88 II 87 31 86 52 86 10 85 29 84 47 84 03 83 20 82 34 5 OO 10 87 56 87 19 86 42 8603 85 24 84 45 84 05 83 24 82 42 81 59 81 16 80 32 10 20 85 49 85 II 84 34 83 57 83 18 82 40 82 00 81 21 80 39 79 58 79 10 78 33 20 30 8341 8305 82 29 81 52 81 14 80 36 79 57 79 18 7838 77 57 77 16 76 33 30 40 Si 35 81 00 80 24 79 47 79 i° 78 33 77 54 77 16 76 36 75 57 75 17 74 35 40 50 79 32 78 57 78 21 77 45 77 09 76 32 75 55 75 17 74 38 73 59 73 19 72 38 50 6 OO 77 27 76 52 76 17 73 42 75 07 74 30 73 53 73 16 72 39 72 00 71 22 70 43 6 00 lO 75 23 74 50 74 15 73 41 '73 05 72 30 71 53 71 18 70 40 70 03 69 25 68 47 lO 20 73 21 7248 72 14 7i 39 7i 05 70 3° 69 56 69 20 68 43 68 07 67 30 66 53 20 30 71 18 70 45 70 12 69 39 69 04 68 32 67 57 67 22 66 46 66 11' 65 34 64 5° 30 40 69 15 68 44 68 II 67 38 °7 05 66 32 65 58 °5 24 64 49 64 14 63 39 63 04 40 50 67 13 66 42 66 10 °5 38 65 04 °4 33 64 00 63 27 & 53 62 19 61 45 61 10 50 7 OO 65 11 64 40 64 09 63 37 63 06 62 35 62 02 61 30 °o 57 60 23 59 50 59 17 7 00 lO 63 08 62 38 62 07 61 37 61 05 Co 35 60 03 59 33 59 °o 58 28 57 56 57 22 10 20 61 06 60 36 60 06 59 37 59 06 5836 58 05 57 35 57 05 56 33 56 01 55 28 20 30 59 03 58 35 58 05 57 36 57 07 5° 37 56 08 55 3' 55 07 54 37 54 07 53 35 30 40 57 00 56 32 56 04 55 35 55 07 54 39 54 10 53 40 53 11 52 42 52 n 5i 41 40 50 54 57 54 29 54 02 53 34 53 06 52 39 .S 2 10 5i 43 51 14 50 45 5° I 6 49 47 50 8 00 52 52 52 26 51 59 51 32 51 °5 5038 50 :i 49 43 49 16 48 -J9 48 21 47 53 s 00 10 50 48 5° 22 49 56 49 3° 49 °4 4838 48 12 47 46 47 19 46 52 46 25 45 58 lO 20 48 43 48 18 47 53 47 28 47 03 46 37 46 12 45 47 45 21 44 55 44 30 44 03 20 30 46 37 46 13 45 49 45 25 45 00 44 36 44 12 43 47 43 23 42 58 42 33 42 08 30 40 44 30 44 07 43 45 43 21 42 58 42 35 42 11 41 47 41 23 40 59 40 36 40 12 40 50 42 23 42 02 41 40 41 16 40 54 40 32 40 09 39 47 39 24 39 01 38 39 38 15 50 » 00 40 15 39 54 39 33 39 11 38 50 38 28 38 07 37 46 37' 23 37 °2 36 40 36 18 » 00 10 38 07 37 47 37 26 37 05 36 45 36 25 36 04 35 44 35 23 35 03 34 42 34 21 10 20 35 57 35 39 35 19 35 00 34 40 34 21 34 01 33 42 33 22 33 02 32 43 32 23 20 30 33 48 33 29 33 11 32 52 32 35 32 16 31 57 31 39 31 21 31 02 30 43 30 24 30 40 31 36 31 20 31 02 30 44 30 27 30 10 29 53 29 36 29 18 29 00 28 43 28 26 40 50 29 25 29 09 28 53' 28 37 28 20 28 04 27 47 27 32 27 16 26 59 26 42 26 26 50 10 00 27 12 26 57 26 43 26 27 26 13 25 57 25 42 25 27 25 12 24 57 24 42 24 26 10 00 10 25 00 24 45 24 31 24 17 24 03 23 49 23 36 23 22 23 08 22 54 22 40 22 26 10 20 22 46 22 33 22 20 22 08 21 54 21 42 21 29 21 17 21 04 20 51 20 '38 20 26 20 30 20 31 20 19 20 08 19 56 19 44 19 34 19 22 19 II 18 59 18 48 18 "36 18 25 30 40 18 16 18 06 17 55 17 45 17 35 17 24 17 14 17 04 16 54 16 43 16 33 16 23 40 50 16 00 15 5i 15 42 15 33 15 23 15 15 15 05 14 57 14 48 14 38 14 29 14 20 50 11 OO 13 44 13 36 13 28 13 20 13 12 13 04 12 58 12 50 12 41 12 33 12 26 12 18 11 OO 10 11 27 n 20 11 14 II 07 n 01 1° 55 10 48 10 41 10 35 10 29 10 22 10 16 10 20 9 10 9 °5 9 00 8 55 8 49 8 45 8 39 8 33 8 29 8 23 8 18 8 13 20 30 652 6 49 6 45 6 41 6 37 6 33 6 29 6 25 6 20 6 17 6 14 6 10 30 40 4 35 4 33 4 30 4 28 4 25 4 22 4 20 4 18 4 15 4 12 4 10 4 07 40 50 2 18 2 17 2 15 2 14 2 13 2 II 2 09 2 08 2 07 2 06 2 04 2 03 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 246 AZIMUTH OR TRUE BEARING. LATITUDE 60°. DECLINATION- -SAME NAME AS -LATITUDE. LATITUDE 60°. Hour Angle. 36° 37° 38° 3»° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. m. / / / / / / / / / / / / h. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 180 00 180 00 O 00 10 175 02 174 54 174 45 174 35 174 25 174 13 174 00 173 46 173 29 173 11 172 51 172 27 IO 20 170 06 169 50 169 33 169 13 168 52 168 29 168 04 167 36 167 05 166 30 165 49 i°5 03 20 30 165 H 164 51 164 25 163 57 163 27 162 53 162 17 161 36 160 51 160 00 159 °3 157 58 30 40 160 28 159 57 159 24 158 49 158 09 157 27 156 40 155 48 154 52 153 48 152 36 151 16 40 50 155 50 155 13 154 33 153 51 153 °4 152 13 151 17 150 17 149 10 147 56 146 34 145 01 50 1 00 151 19 150 37 149 52 149 03 148 10 147 13 146 10 145 °3 143 48 138 46 142 26 140 55 139 15 1 00 10 146 59 146 11 145 21 144 28 143 30 142 27 141 20 140 06 137 19 135 42 133 55 10 20 142 48 Mi 57 141 03 140 05 139 03 137 57 136 45 135 27 134 04 13 2 32 130 53 129 04 20 30 138 46 137 53 136 56 135 55 134 5° 133 40 132 26 131 06 129 39 128 06 126 24 124 35 30 40 134 56 134 00 133 00 131 57 13° 5° 129 39 128 22 127 01 125 34 123 59 122 17 "120 29 40 50 131 15 130 17 129 17 128 12 127 03 125 51 124 33 123 12 121 43 120 09 118 28 Il6 41 50 2 00 127 44 126 44 T25 42 124 37 123 28 122 15 120 57 119 35 118 08 116 36 114 54 113 09 2 OO 10 124 21 123 21 122 18 121 13 120 04 118 50 117 32 116 II 114 45 "3 13 HI 35 109 53 10 20 121 07 120 07 119 04 "7 58 116 48 115 36 114 19 112 58 I" 34 no 03 108 29 106 48 20 30 118 00 117 00 "5 57 114 53 "3 43 112 32 in 16 109 56 108 33 107 05 l°"5 33 103 55 30 40 115 01 114 02 113 00 in 55 no 46 109 35 108 21 107 03 105 42 104 16 102 46 101 II 40 50 112 10 III 11 no 09 109 05 107 57 106 48 105 34 104 19 102 59 101 35 100 08 98 37 50 3 00 109 25 108 26 107 25 106 22 105 16 104 07 102 55 101 41 100 24 99 02 97 37 96 09 3 00 10 106 45 I°5 47 104 46 103 44 102 39 101 32 100 21 99 °9 97 54 9° 35 95 13 93 47 10 20 104 10 103 13 102 13 101 12 100 09 99 03 97 54 96 44 95 31 94 14 92 54 91 32 20 30 40 101 41 100 44 99 4° 98 46 97 44 96 39 95 33 94 24 93 13 91 58 90 41 89 21 30 99 1° 98 20 97 23 96 24 95 23 94 20 93 15 92 08 S3 89 47 88 32 87 17 40 50 96 54 95 59 95 04 94 06 93 06 92 05 91 01 89 56 87 38 86 26 85 12 50 4 00 94 37 93 43 92 48 91 52 90 54 89 54 88 52 87 49 8643 85 35 84 25 S3 13 , 4 00 10 92 22 91 29 89 19 90 35 89 41 88 44 87 45 86 44 85 43 84 40 83 34 82 26 81 16 10 20 go 10 88 01 88 26 87 32 8637 85 40 84 42 83 42 82 39 81 35 80 30 79 22 20 30 87 12 86 19 85 28 84 33 83 37 82 40 81 42 80 42 79 4° 78 36 77 3° 30 40 50 85 55 85 06 84 16 83 24 82 32 81 37 80 42 79 45 78 47 77 4° 76 45 75 40 40 83 51 83 03. 82 13 81 24 80 32 79 39 78 45 77 50 76 53 75 54 74 54 73 52 50 5 00 81 48 81 01 80 13 79 24 78 34 77 42 7° 5° 75 56 75 01 74 °4 73 °6 72 06 5 00 10 79 47 79 01 78 14 77 27 76 37 75 46 74 56 74 04 73 10 72 15 71 19 70 21 10 20 30 77 48 77 03 76 17 75 31 74 43 73 54 73 04 72 13 71 21 70 27 69 33 68 37 20 75 50 75 06 74 21 73 37 72 49 72 02 71 12 70 24 69 33 68 40 67 48 66 53 30 40 73 53 73 10 72 27 71 42 70 56 70 09 69 22 68 35 67 46 6655 66 04 65 11 40 50 7i 57 71 16 7° 33 69 50 69 06 68 20 67 34 66 48 66 00 65 11 64 21 63 30 50 6 00 70 02 69 21 6839 67 57 67 14 6631 65 46 65 01 64 14 63 26 62 38 61 48 6 00 10 68 08 67 27 66 46 66 06 65 24 64 41 °3 58 63 13 62 29 61 42 60 55 60 07 10 20 66 14 65 35 64 56 64 16 63 35 62 54 62 II 61 29 60 45 59 59 59 14 58 28 20 30 64 21 63 43 63 04 62 26 61 46 61 05 60 24 59 43 58 59 58 16 57 32. 56 47 30 40 62 27 61 50 6l 13 60 35 5 ?, 5§ 59 17' 58 37 57 57 57 16 56 33 55 5i 55 °7 40 SO 60 34 59 59 59 22 58 46 58 08 57 30 56 51 56 12 55 3= 54 51 54 10 53 27 50 7 00 10 58 42 5807 57 31 5656 56 20 55 43 55 °5 54 27 53 49 53 °9 52 29 51 48 7 00 ■56 49 56 15 55 4° 55 06 54 3° 53 54 53 19 52 42 52 05 51 27 50 48 50 08 10 20 30 54 56 54 23 53 50 53 17 52 42 52 08 5i 32 50 57 50 21 49 43 49 06 48 29 20 53 04 52 32 51 59 51 27 50 54 50 20 49 46 49 12 48 37 48 01 47 25 46 48 30 40 51 11 50 40 50 09 49 37 49 05 48 33 48 00 47 26 46 53 46 19 45 44 45 °8 40 50 49 18 48 48 48 18 47 48 47 17 46 45 46 13 45 41 45 09 44 3° 44 02 43 27 50 8 00 10 47 24 46 55 46 26 45 57 45 27 44 57 44 26 43 55 43 24 42 51 42 20 41 47 8 00 45 31 45 02 44 34 44 07 43 38 43 09 42 39 42 09 41 39 41 °9 40 38 40 07 IO 20 30 43 36 43 °9 42 43 42 16 41 48 41 20 40 51 40 24 39 55 39 24 3856 3826 20 41 42 41 16 40 50 40 25 3 I 5 £ 39 32 39 04 38 37 38 10 37 41 37 13 36 44 30 40 39 47 39 22 38 57 38 33 38 08 37 42 37 16 36 50 36 24 35 57 35 30 35 01 40 50 37 52 37 29 37 05 36 41 36 17 35 52 35 28 35 °3 34 38 34 11 33 47 33 19 50 » 00 35 56 35 33 35 11 34 49 34 25 34 02 33 39 33 15 32 51 32 27 32 03 31 37 9 OO 10 20 33 59 33 38 33 17 32 56 32 34 32 12 3i 49 31 27 31 04 3° 41 30 18 29 54 10 32 03 31 43 31 23 31 03 30 42 30 21 30 01 29 39 29 17 28 56 28 34 28 II 20 30 30 05 29 47 29 27 29 08 28' 49 28 29 28 09 27 5° 27 29 27 09 26 49 26 28 30 40 28 08 27 50 27 32 27 14 26 56 26 38 26 19 26 01 25 42 25 22 25 °3 24 43 40 50 26 10 25 53 25 37 25 20 25 02 24 46 24 29 24 n 23 53 23 36 23 18 23 00 50 10 00 24 12 23 56 23 4° 23 25 23 09 22 53 22 37 22 21 22 05 21 48 21 31 21 15 10 00 10 22 13 21 58 21 43 21 30 21 15 21 00 20 45 20 31 20 16 20 00 19 45 19 30 10 20 20 13 20 00 19 46 19 34 19 21 19 °7 IS 53 18 40 18 26 l8 12 17 59 17 44 20 30 18 12 18 01 17 49 17 38 17 26 17 13 17 01 16 49 1636 l6 25 16 II 15 59 30 40 50 16 12 16 01 15 51 15 41 15 30 15 19 15 09 14 5° 14 47 14 36 14 25 14 13 40 14 11 14 02 13 53 13 44 13 35 13 25 13 15 13 06 12 57 12 46 12 37 12 25 50 11 00 12 11 12 02 ■II 55 II 47 11 38 n 30 n 22 II 14 II 06 10 58 10 50 10 40 11 OO 10 10 09 10 02 9 55 9 49 9 43 9 36 9 29 9 22 9 15 9 09 9 01 8 55 10 20 8 07 8 02 7 56 7 51 7 46 7 4i 7 36 7 3° 7 25 7 19 7 13 7 07 20 30 6 06 6 02 5 58 5 54 5 50 5 45 5 42 5 38 5 34 5 29 5 25 5 21 30 40 4 04 4 01 3 59 3 56" 3 54 1 56 3 51 3 48 3 45 3 42 3 39 3 36 3 33 40 50 2 02 2 01 2 OO I 58 1 55 1 54 1 53 1 51 1 50 1 48 1 47 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or "West of the meridian, the tabulated azimuths are .reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckonad from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 247 AZIMUTH OR TRUE BEARING. LATITUDE 60°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 60°. Hour Angle. 48° 49° 50° 51° 53° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. / 1 / , / / / / / / ' / / la. in. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 lO 171 59 171 27 170 48 170 01 169 03 167 47 166 09 153 28 163 54 160 36 155 24 146 09 127 09 10 30 164 10 163 08 161 55 160 26 158 38 156 23 149 37 144 20 13648 125 40 109 20 30 SO 156 43 155 17 153 35 151 35 149 10 146 13 142 33 137 55 131 57 124 12 114 oS 101 28 30 40 149 44 143 16 147 58 145 57 143 35 140 47 137 28 133 29 128 38 122 43 115 32 l°6 53 96 48 40 50 50 141, 19 139 °4 136 3° 133 31 130 03 126 01 121 16 115 42 109 15 101 50 93 32 1 00 137 22 135 16 132 55 V° J 4 127 12 123 45 119 49 115 20 no 13 104 26 98 00 9058 1 00 lO 131 59 129 49 127 25 124 44 121 44 118 22 "4 37 no 25 i°5 44 100 33 94 54 88 49 IO 30 127 05 124 54 122 30 "9 51 »6 57 "3 43 no 10 106 15 101 58 97 19 92 17 86 56 30 30 122 36 120 27 "8 05 115 31 112 42 109 39 106 18 102 40 98 44 94 3° 89 59 85 12 30 40 118 30 116 23 114 05 III 37 i°8 55 106 01 102 53 99 3i 95 54 92 01 87 55 83 37 40 50 114 45 112 41 no 27 108 05 i°5 31 102 47 99 49 96 41 93 20 89 47 86 02 82 07 50 3 OO 111 16 109 16 107 07 104 51 102 25 99 49 97 °3 94 06 9° 59 87 43 84 16 80 40 3 OO lO 108 03 106 06 104 03 101 52 99 33 97 06 94 3 76 42 76 07 75 33 74 58 74 22 73 45 73 °8 72 32 71 54 7i 15 6 00 10 io 75 43 75 " 74 37 74 °3 73 3° 72 55. 72 20 7i 45 71 09 70 32 69 55 69 17 20 73 4 1 73 °7 72 35 72 01 71 28 7° 54 70 20 69 45 69 10 68 35 6758 67 21 20 30 7' 36 71 04 70 32 69 59 69 26 63 52 68 19 67 45 67 11 66 36 66 01 65 25 30 40 69 31 69 00 68 29 67 57 °7 25 66 52 66 19 65 46 65 12 64 38 64 04 63 29 40 50 67 28 6657 66 26 65 55 65 23 64 51 64 20 63 47 °3 14 62 42 62 08 61 34 50 7 OO 65 25 64 54 64 24 63 53 63 22 62 51 62 20 61 48 61 17 60 44 60 12 59 38 7 00 IO 63 20 62 51 62 21 61 51 61 22 60 51 60 21 59 5° 59 18 58 47 58 15 57 43 10 20 61 16 60 48 60 19 59 5° 59 21 58 51 58 22 57 5i 57 20 56 5°' 56 19 55 48 20 30 59 ! 3 58 45 58 17 57 48 57 20 56 5i 56 22 55 53 55 23 54 53 54 23 53 53 30 40 57 08 56 4 1 56 14 55 46 55 18 54 5° 54 22 53 53 53 25 52 56 52 27 51 57 40 50 55 °4 54 37 54 1° 53 44 53 17 52 49 52 22 51 54 51 27 5° 59 5° 3i 50 01 50 8 00 52 58 52 33 52 06 51 4° 51 15 50 48 50 22 49 55 49 29 49 °« 48 34 48 06 8 00 IO 5° 53 50 28 50 04 49 38 49 12 48 47 48 22 47 55 47 3° 47 °4 46 37 46 10 10 20 48 48 48 23 47 59 47 35 47 1° 46 45 46 20 45 56 45 3° 45 ° 6 44 4° 44 16 20 30 30 46 41 46 17 45 54 45 3° 45 °7 44 43 44 19 43 56 43 31 43 °7 42 42 42 18 40 44 34 44 11 43 48 43 26 43 °3 42 4° 42 18 41 54 41 32 41 08 40 44 40 21 40 50 50 42 25 42 04 41 42 41 20 4° 59 4° 37 4° 15 39 53 39 31 39 °9 38 47 38 24 9 OO 40 18 39 57 39 35 39 14 38 54 38 33 38 12 37 51 37 3° 37 1° 36 48 36 26 9 ;00 10 38 08 37 48 37 28 37 °9 3648 3° 28 36 09 35 49 35 28 35 °8 34 48 34 28 10 20 35 58 35 4° 35 21 35 °2 34 43 34 24 34 °5 33 46 33 26 33 °8 32 49 32 3° 20 30 33 48 33 3° 33 I2 32 54 32 36 32 18 32 00 31 42 31 24 31 07 30 48 3° 31 30 40 31 36 31 19 31 c 3 30 46 30 29 30 12 29 55 29 38 29 22 29 °5 28 48 28 31 40 50 29 24 29 08 28 52 28 37 28 21 28 06 27 5° 27 34 27 18 27 03 26 47 26 31 50 10 00 27 12 26 57 26 42 26 28 26 13 25 59 25 44 25 29 25 15 25 00 24 45 24 3° 10 00 10 24 58 24 44 24 31 24 18 24 °4 23 51 23 38 23 24 23 1° 22 57 22 43 22 29 10 20 22 44 22 32 22 20 22 07 21 55 21 43 21 31 21 18 21 06 20 54 20 41 20 28 20 30 20 30 20 18 20 08 19 56 19 45 19 34 19 23 19 11 19 00 18 49 18 38 18 27 30 40 18 14 18 05 17 55 17 45 17 35 17 25 17 15 17 °5 16 54 16 45 16 34 16 25 40 50 15 59 15 50 15 41 15 33 15 24 15 15 15 °6 14 58 14 49 14 41 14 32 14 23 50 11 00 13 43 13 35 13 27 13 20 13 12 13 °5 12 57 12 50 12 43 10 36 12 35 12 27 12 20 11 00 10 11 26 II 20 II 14 II 07 n 01 10 55 10 49 10 42 10 29 10 23 10 17 10 20 30 9 °9 6 52 4 2 3 lf 9 04 6 48 9 00 6 44 8 54 6 41 8 45 6 37 44 6 33 8 40 6 30 8 34 6 26 '8 29 6 22 8 24 6 18 8 19 6 14 8 14 6 11 20 30 40 50 4 32 2 17 4 3° 2 '5 4 27 2 13 4 25 2 12 4 22 2 II 4 20 2 10 4 17 2 09 2 08 4 13 2 07 4 10 2 05 4 °7 2 03 1 40 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO t„ North latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the sfar fa [setting or West rf the merifian, the tabulated azimuths are reckoned from North to West. t„ Smith lititmlo when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the "star's setting or West of the meridfan, the tabulated azimuths are reckoned from South to West. when the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 250 AZIMUTH OR TRUE BEARING. LATITUDE 61°. DECUNATION- -SAME NAME AS— LATITUDE. 1 LATITUDE <>J°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. Ii. in. O 1 / / t / ' / ' / / / / h. in. OO 180 oo 180 00 1S0 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 13 170 28 175 06 174 58 174 49 174 40 174 3° 174 18 174 05 173 52 173 36 173 18 172 59 IO 20 170 13 169 58 169 41 169 22 169 03 168 40 168 15 167 47 167 18 166 43 166 04 20 30 165 46 165 25 165 02 164 37 164 10 163 40 163 08 162 32 161 53 161 10 160 20 159 25 30 40 161 10 160 42 160 13 159 40 159 05 158 27 157 46 157 00 156 10 155 15 154 13 153 02 40 50 156 40 156 06 155 31 154 52 154 10 153 25 152 35 151 41 150 42 149 37 148 24 147 03 50 1 00 152 17 151 39 150 58 150 13 149 25 148 34 147 38 146 37 145 30 144 17 142 56 141 28 1 00 10 148 02 147 20 146 34 145 44 144 52 143 56 142 54 141 48 140 3° 139 17 137 5° 136 16 10 20 143 56 143 10 142 21 141 27 140 30 139 30 138 25 137 15 135 58 134 36 133 05 131 27 20 30 139 58 139 09 138 18 137 20 136 21 135 18 134 °9 132 55 131 37 130 11 12837 126 58 30 40 136 11 135 20 134 24 133 25 132 24 131 18 130 07 128 52 127 31 126 04 124 31 422 50 119 00 40 50 132 32 131 38 130 42 129 41 128 38 127 30 126 19 125 02 123 41 122 13 120 40 50 2 00 129 01 128 06 127 08 126 06 125 03 123 54 122 42 121 25 120 03 118 3° H7 °4 "5 25 2 00 10 "5 39 124 43 123 44 122 42 121 37 120 29 119 17 118 00 116 38 115 12 113 40 112 04 10 20 122 24 121 29 120 30 119 27 118 22 117 14 116 01 114 45 "3 24 112 00 no 30 108 55 20 30 119 18 118 21 117 23 116 19 "5 15 114 07 112 56 in 40 no 21 108 57 107 30 105 57 30 40 116 18 115 22 114 23 113 20 112 16 III 09 109 58 108 44 107 25 106 05 104 39 103 08 40 50 113 25 112- 29 III 31 no 28 109 25 108 19 107 08 105 56 104 39 103 19 101 56 100 29 50 3 00 no 37 109 42 108 44 107 43 106 40 105 34 104 26 i°3 15 102 00 100 43 99 2I 97 57 3 00 10 107 56 107 01 106 03 105 03 104 01 102 56 101 49 100 39 99 26 98 11 96 52 95 30 10 20 30 105 19 104 25 103 29 100 58 102 29 101 28 100 25 99 19 98 n 96 59 95 47 94 29 93 09 20 102 48 101 54 100 00 99 00 97 57 9° 54 95 47 94 38 93 26 92 11 90 54 30 40 100 20 99 27 98 32 97 34 96 36 95 35 94 32 93 28 ' 92 20 91 11 8958 88 43 40 50 97 56 97 04 96 10 95 14 94 16 93 17 92 17 91 13 90 07 88 59 87 49 86 36 50 4 00 95 37 94 45 93 52 92 58 92 02 %l ° 4 90 03 89 01 87 58 8652 85 44 84 33 4 00 10 93 19 92 30 91 37 90 43 89 48 88 52 87 53 86 53 85 50 84 47 83 41 82 33 10 20 91 05 90 16 89 26 8833 87 39 86 44 85 47 84 48 83 48 82 46 81 41 80 35 20 30 £ SS 88 07 87 17 86 24 85 32 84 38 83 43 82 45 81 47 80 46 79 44 78 40 30 40 50 8645 85 58 85 10 84 19 S3 28 82 36 81 42 80 46 79 49 7850 77 49 76 47 40 84 39 83 53 83 05 82 15 .81 25 80 34 79 42 7848 77 52 76 55 75 56 74 56 50 5 OO 10 20 30 82 34 81 49 81 02 80 14 79 25 '78 35 77 44 76 50 75 57' 75 01 74 05 73 06 5 OO 80 32 79 47 79 01 78 14 77 26 76 37 75 48 74 56 74 03 73 09 72 14 71 17 10 78 30 77 47 77 02 76 16 75 29 74 42 73 53 73 03 72 11 71 19 70 25 69 31 20 76 29 75 47 75 03 74 18 73 33 72 47 71 59 71 10 70 21 69 30 68 38 67 44 30 40 74 30 73 49 73 06 72 22 71 39 70 53 70 07 69 20 68 32 67 42 6651 6 5 59 40 50 72 32 n 52 71 11 70 28 69 45 69 01 68 16 67 30 66 43 65 55 65 07 64 17 50 6 00 70 35 69 56 69 16 68 34 67 52 67 09 65 18 66 25 65 40 °4 55 64 08 63 21 62 32 6 00 10 6839 68 01 67 21 66 40 65 59 64 35 63 51 63 07 62 22 61 36 60 49 10 20 66 44 66 06 65 28 64 48 64 09 63 28 62 46 62 04 61 21 60 37 59 52 59 °7 20 30 64 48 64 II 63 34 62 55 62 17 61 37 60 57 60 16 59 34 5852 58 09 57 24 30 40 50 62 53 62 18 61 41 61 03 60 26 59 48 59 °9 58 27 57 48 57 07 56 25 55 42 40 60 59 60 24 59 49 59 12 5836 57 58 57 21 56 42 56 03 55 23 54 42 54 00 50 7 00 10 20 30 40 50 59 05 58 30 57 56 57 21 56 46 56 09 55 32 54 55 54 17 53 39 52 59 52 18 7 00 57 10 56 37 56 04 55 29 54 55 54 20 53 44 53 08 52 31 51 54 51 15 50 37 10 55 16 54 44 54 12 53 38 53 05 52 31 51 57 51 21 50 46 50 10 49 33 48 56 20 53 22 52 52 52 20 51 47 51 15 50 43 50 09 49 35 49 00 48 26 47 51 47 14 30 51 27 50 58 50 27 49 56 49 25 48 53 48 21 47 49 47 15 46 42 46 07 45 32 40 49 34 - 49 04 48 35 48 05 47 35 47 °4 46 33 46 02 45 29 44 57 44 24 43 50 50 8 00 10 20 30 40 50 47 39 47 10 46 42 46 12 45 43 45 14 43 26 44 44 44 14 43 43 43 12 42 40 42 09 8 00 45 43 45 17 44 50 44 21 43 54 42 57 42 27 41 57 41 28 4° 57 40 26 10 43 49 43 23 42 57 42 29 42 03 41 36 41 08 40 39 40 II 39 43 39 13 38 44 20 41 53 41 28 4i 03 40 37 40 12 39 45 39 19 3852 38 25 37 57 37 3° 37 01 30 39 58 39 33 39 P9 38 44 38 20 37 55 37 30 37 03 3638 36 12 35 45 35 18 40 38 01 37 39 37 16 37 52 36 28 36 °5 35 '40 35 16 34 51 34 26 34 00 33 35 50 9 00 10 20 30 40 50 36 04 35 43 35 21 34 58 34 36 34 13 33 50 33 26 33 03 32 39 32 16 31 51 9 00 34 07 33 47 33 25 33 04 32 43 32 21 32 00 31 38 31 15 30 53 30 3° 30 06 10 32 10 31 5° 31 31 31 10 30 50 30 30 30 10 29 48 29 27 29 07 28 45 28 23 ' 20 30 12 29 53 29 35 29 15 28 57 28 38 28 19 27 59 27 39 27 20 26 59 26 39 30 28 13 26 15 27 56 27 39 27 21 27 03 26 45 26 27 26 09 24 18 25 50 25 31 25 12 24 53 40 25 59 25 42 25 26 25 08 24 52 24 35 24 01 23 43 23 26 23 09 50 10 00 10 20 30 40 50 24 15 24 00 23 45 23 30 23 14 23 00 22 44 22 28 22 II 21 56 21 39 21 23 10 00 22 15 22 02 21 48 21 33 21 20 21 05 20 51 20 36 20 22 20 07 19 52 19 37 10 20 15 20 03 19 51 19 38 19 25 19 12 18 59 18 46 18 32 18 19 18 05 T 7 51 20 18 15 18 03 17 53 17 41 17 30 17 18 17 06 16 54 16 42 16 30 16 17 16 05 30 16 15 16 04 15 54 15 43 15 34 15 23 15 13 15 02 14 51 14 40 14 29 14 18 40 14 14 H 05 13 55 13 46 13 38 13 28 13 19 13 09 12 59 12 50 12 41 12 32 50 11 00 10 20 30 40 50 12 OO 12 12 12 05 11 57 11 48 II 40 II 33 II 25 II 17 11 09 11 01 10 53 10 44 11 OO 10 10 10 04 9 58 9 4i 9 45 9 38 9 32 9 25 9 17 9 11 9 05 8 57 10 8 08 8 03 7 58 7 53 7 48 7 43 7 38 7 32 7 26 7 22 7 16 7 10 20 6 07 6 02 5 59 5 55 5 51 5 47 5 43 5 39 5 35 5 31 S 26 5 23 30 4 04 4 02 3 59 3 57 3 54 3 52 3 49 3 46 3 44 3 '4i 3 38 3 35 40 2 03 2 01 1 59 1 58 1 57 I 56 I 55 1 53 1 51 1 5° 1 49 1 48 SO 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hou-- angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 251 AZIMUTH OR TRUE BEARING. LATITUDE 61°. DECWNATION- -SAME NAME AS— LATITUDE. LATITUDE 61°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h. in. o / / / / / ' / / * / / / li. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 172 36 172 08 171 37 171 00 17° 13 169 17 168 05 166 28 164 17 161 05 155 59 146 54 lO 20 165 20 164 28 163 28 162 16 160 49 '59 °5 156 52 154 °2 15° 15 145 °4 137 36 126 28 20 30 158 21 157 08 155 44 i34 °5 152 07 149 45 146 52 143 15 138 40 132 45 124 58 114 47 30 40 151 44 150 14 148 31 146 31 144 12 141 28 138 10 134 13 129 23 123 28 116 12 107 25 40 50 US it 143 51 141 54 139 42 137 °9 134 12 130 46 126 44 121 59 116, 23 109 50 102 16 50 1 00 139 49 137 58 135 54 133 34 13° 55 127 54 124 27 120 30 "5 58 no 48 104 56 98 41 1 00 10 134 31 132 35 130 27 128 03 125 23 122 24 119 01 115 14 in 00 106 15 100 58 95 " 10 20 129 39 127 40 125 32 123 07 120 29 "7 34 114 20 no 44 106 47 102 26 97 40 92 31 20 30 125 09 123 10 121 02 118 41 116 06 "3 17 no 12 106 49 103 08 99 08 94 48 90 10 30 40 121 01 119' 04 116 57 "4 39 112 10 109 27 106 31 103 21 99 55 96 14 92 17 88 05 40 50 "7 13 "5 17 "3 13 no 59 108 35 106 01 103 14 100 15 97 °2 93 38 90 00 86 09 50 2 00 113 39 ill 46 i°9 45 107 37 105 18 102 51 100 14 97 25 94 25 91 15 87 54 84 21 2 00 10 110 20 108 31 106 34 104 30 102 18 99 57 97 28 94 49 92 01 89 03 8556 82 40 10 20 107 15 105 28 103 36 101 36 99 3° 97 16 94 54 92 25 89 46 87 00 84 °5 81 03 20 30 104 19 102 36 100 48 98 S3 96 52 94 44 92 30 90 08 87 4° 85 04 82 20 79 29 30 40 101 34 99 54 98 10 96 20 94 24 92 22 90 14 88 00 85 4° 83 13 80 39 77 59 40 50 9858 97 21 95 4° 93 54 92 04 90 08 88 06 85 59 83 46 81 26 79 0I 76 31 50 3 00 96 27 94 54 93 18 91 36 89 5° 87 59 86 03 84 02 81 56 79 43 77 27 75 °5 3 00 10 94 04 92 33 91 01 8923 8742 85 56 84 05 82 10 80 10 78 04 75 55 73 4o lO 20 91 46 90 20 88 50 87 16 85 39 83 56 82 12 80 21 78 27 76 28 74 25 72 17 20 30 89 34 87 26 88 10 86 43 85 13 83 4o 82 03 80 21 78 36 76 46 74 54 72 56 7° 55 30 40 86 04 84 42 83 14 81 44 80 n 78 34 76 53 75 1° 73 21 71 29 69 34 40 50 85 22 84 02 82 43 81 18 79 52 78 22 76 5° 75 13 73 33 71 51 70 04 68 19 SO 4 00 83 21 82 05 80 47 79 26 78 04 7638 75 °8 73 35 72 00 70 21 68 39 66 54 4 00 10 81 22 80 09 78 54 77 36 76 16 74 53 73 27 71 59 70 27 68 52 67 14 65 33 10 20 79 27 78 16 77 °4 75 49 74 32 73 « 71 49 70 24 68 56 '67 25 65 52 64 14 20 30 77 34 76 25 75 16 74 °3 72 49 7i 3' 70 12 68 51 67 25 65 59 64 29 62 55 30 40 75 43 74 3° 73 29 72 19 71 08 69 53 68 37 67 18 65 5 S 64 33 63 07 61 37 40 50 73 53 72 50 7i 44 70 36 69 27 68 16 67 02 65 46 64 28 63 °7 61 44 60 19 50 5 OO 72 05 71 03 70 00 6855 67 48 66 39 65 28 64 15 62 59 61 42 60 22 58 59 5 00 10 70 19 69 19 68 19 67 15 66 II 65 03 63 55 62 44 61 3 1 60 17 59 °i 57 4i lO 20 ' 68 34 67 36 6637 65 35 64 33 63 29 62 23 61 15 60 05 58 53 57 39 56 22 20 30 66 50 65 53 64 56 63 57 62 57 61 55 60 51 59 45 58 37 57 28 56 17 55 °3 30 40 65 07 64 13 63 17 62 19 61 21 60 20 59 19 58 16 57 1° 56 04 54 53 54 no 47 107 23 l°3 38 99 32 95 °8 30 40 123 25 121 37 119 40 "7 33 "5 15 112 45 no 02 107 03 103 51 100 22 9° 35 92 33 40 50 119 33 "7 47 "5 5° 113 47 III 33 109 08 106 32 I°3 44 100 41 97 26 93 57 90 14 50 2 OO "5 57 114 11 112 18 no 18 108 08 i°5 5° 103 20 100 39 97 49 94 46 91 31 88 05 2 OO 10 112 33 no 52 109 01 107 04 i°4 59 102 46 . 100 23 97 52 95 'i°- 92 20 89 17 86 06 10 20 109 24 107 44 105 56 104 03 102 03 99 55 97 4° 95 16 92 43 90 02 87 12 o 4 l l 20 30 106 24 104 45 103 02 101 14 99 17 97 15 95 °7 92 49 90 25 87 53 85 13 82 26 30 40 103 33 101 58 100 18 98 32 96 42 94 45 92 41 90 32 88 15 85 51 83 21 80 44 40 50 100 51 99 19 97 42 96 01 94 14 92 23 90-24 88 20 86 n 83 56 81 33 79 °5 50 3 00 98 18 96 48 95 14 93 37 91 54 90 07 88 14 86 16 84 13 82 04 79 5° 77 29 3 00 10 95 48 94 23 92 52 91 18 89 39 87 5° 86 08 84 16 82 18 80 16 78 07 75 55 IO 20 93 2 7 92 03 9° 35 89 05 87 3° 85 51 84 08 82 21 80 29 78 33 76 30 74 24 20 30 91 10 89 49 88 24 86 57 85 26 83 51 82 12 80 29 78 42 76 51 74 55 72 55 30 40 88 57 87 39 86 17 84 53 83 25 81 54 80 19 78 40 7658 75 11 73 21 7i 27 40 50 86 48 85 33 84 14 82 53 81 2S 80 00 78 3° 76 54 75 17 73 34 71 49 70 00 50 4 00 84 44 83 31 82 14 80 56 79 35 78 10 76 42 .75 12 73 37 72 00 70 18 68 35 4 OO 10 82 42 Si 31 80 17 79 0I 77 42 76 22 74 57 73 3° 7i 59 70 26 68 49 67 09 IO 20 80 43 79 34 78 23 77 10 75 54 74 36 73 15 7i 51 •70 24 6854 67 21 °5 45 20 30 78 46 77 39 76 31 75 20 74 °6 72 51 71 33 70 12 68 49 67 23 65 54 64 22 30 40 76 52 75 47 74 41 73 32 72 21 71 09 69 28 °9 53 6835 67 15 65 53 64 26 62 59 40 50 74 59 73 57 72 53 71 47 70 38 68 15 66 59 65 42 64 23 63 01 61 36 50 5 OO 73 08 72 07 71 04 70 01 68 55 67 47 66 36 65 24 64 11 62 53 61 35 60 13 5 OO 10 71 19 70 20 69 20 68 18 67 14 66 09 65 01 63 51 62 39 61 26 60 09 58 51 10 20 69 31 68 34 67 35 6636 °5 34 64 30 63 25 62 18 61 08 59 58 58 44 57 2Q 20 30 67 43 66 48 65 52 64 54 63 54 6253 61 50 60 45 59 39 583° 57 19 56 06 30 40 65 57 65 04 64 09 63 13 62 15 61 16 60 16 59 13 58 09 57 °2 55 54 54 44 40 50 64 13 63 22 62 28 61 33 60 37 59 4° 58 42 57 42 56 40 55 36, 54 29 53 23 50 6 00 62 28 61 38 60 46 59 54 59 °° 58 03 57 °8 56 10 55 09 54 °9 53 04 52 00 6 OO 10 60 44 59 55 59 06 58 15 57 23 56 29 55.34 54 38 53 4° 52 41 51 4° 5° 38 10 20 59 01 58 14 57 25 56 37 55 47 54 55 54 °2 53 08 52 11 51 14 5° 15 49 15 20 30 57 17 56 33 55 46 54 59 54 °9 - . 53 20 52 28 51 36 5° 43 49 48 48 51 47 53 30 40 55 35 54 51 54 °§ 53 20 52 33 5i 45 50 55 5° °5 49 13 48 20 47 26 46 30 40 50 53 53 53 10 52 27 51 42 5° 57 50 n 49 23 48 34 47 45 46 54 46 00 45 07 50 7 00 52 II 51 29 50 48 50 04 49 21 48 37 47 5° 47 °3 46 16 45 26 44 35 43 44 7 OO io 50 28 49 48 49 08 48 27 47 45 47 °2 46 17 45 32 44 46 43 58 43 10 42 20 IO 20 48 47 48 08 47 29 46 49 46 09 45 27 44 44 44 01 43 16 42 31 41 44 4o 57 20 30 47 05 46 27 45 5° 45 12 44 32 43 52 43 12 42 3° 41 47 41 °3 40 18 39 32 30 40 45 23 44 47 44 -° 43 34 41 56 42 56 42 18 41 39 40 58 40 17 39 35 38 52 38 08 40 50 43 41 43 06 42 '31 41 20 4° 43 40 05 39 26 38 48 38 07 37 25 36 44 50 8 00 41 5S 41 25 40 5' 40 17 39 43 39 ° 8 38 3? 37 55 ' 37 16 36 38 35 59 35 18 8 OO 10 40 16 39 45 39 I 2 38 40 38 06 37 33 3658 36 23 35 46 35 1° 34 32 33 53 10 20 38 34 38 o 3 37 32 37 01 . 36 3° 35 58 35 24 34 5° 34 16 33 41 33 °5 32 28 20 30 36 51 36 22 35 52 35 23 34 52 34 22 33 5° 33 18 32 45 32 12 31 37 31 02 30 40 35 °8 34 41 34 12 33 44 33 15 32 46 32 16 31 45 31 14 30 42 30 09 2936 40 oO 33 24 32 57 32 32 32 05 31 38 31 10 3° 41 30 12 29 42 29 12 28 40 28 09 50 9 OO 31 41 31 16 30 5° 30 26 30 00 29 '33 29 °5 28 38 28 10 27 41 27 12 26 43 9 OO 10 29 57 29 34 29 09 28 46 28 21 27 56 27 31 27 °4 26 38 26 11 25 43 25 15 10 20 28 13 27 51 27 29 27 06 26 43 26 20 25 5° 25 31 25 °6 24 4° 24 15 23 47 20 30 26 30 26 08 25 47 25 26 25 °5 24 42 24 20 23 56 23 34 23 09 22 45 22 20 30 40 24 44 24 25 24 05 23 45 23 25 23 °5 22 44 22 23 22 00 21 38 21 16 20 52 40 50 23 00 22 42 22 23 22 05 21 46 21 27 21 07 20 47 20 27 20 06 19 45 19 24 50 10 00 21 15 2058 20 41 20 24 20 06 19 49 19 31 19 13 18 54 18 35 18 15 17 56 10 00 10 19 30 19 14 1858 18 43 18 27 18 11 17 54 17 37 17 20 17 02 16 45 16 27 10 20 17 44 17 3° 17 16 17 01 16 47 16 32 16 17 16 02 15 46 15 3° 15 14 14 58 20 30 15 58 15 46 15 33 15 20 15 °7 14 54 14 4° 14 27 14 13 13 58 13 44 13 28 30 40 14 13 14 01 13 50 13 38 13 27 13 15 13 °3 12 51 12 38 12 25 12 12 11 59 40 50 12 27 12 17 12 07 11 57 11 47 n 3° II 27 11 15 II 04 10 52 10 41 10 30 50 11 00 10 40 10 31 10 23 10 14 10 05 9 57 948 9 39 9 29 9 20 9 10 9 00 11 00 10 8 54 8 47 8 40 8 32 8 25 8 18 8 10 8 02 7 54 7 46 7 38 7 3° IO 20 7 08 7 01 6 55 6 50 6 44 638 ° 33 6 26 6 20 6 14 6 07 6 00 20 30 5 20 5l6 5 12 5 07 5 °3 4 59 4 54 4 49 .4 45 4 4° 4 36 4 3° 30 40 3 34 3 3i 3 28 3 25 3 22 3 I9t 3 16 3 14 3 10 3 °7 3 03 3 00 40 50 1 47 I 45 1 44 1 42 1 41 1 40 1 38 1 37 1 35 1 33 1 32 1 30 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 256 AZIMUTH OR TRUE BEARING. LATITUDE 63°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 62°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. hi. O ' / / r 1 / / / r / / It. 111. 00 l8o 00 180 00 00 00 00 00 00 00 00 00 00 10 147 4° 128 52 88 54 48 00 27 54 19 17 14 12 11 01 8 52 7 18 6 06 10 20 127 19 no 32 87 48 64 23 46 24 34 25 26 29 21 04 17 09 14 14 12 00* 20 30 US 3° 102 17 86 41 7° 35 56 15 44 49 36 06 20 3 i 24 29 20 35 17 29 30 40 107 59 97 24 85 35 73 23 61 49 51 4° 43 12 36 18 3042 20 09 22 27 40 50 102 43 93 59 84 28 74 4° 65 °5 56 13 48 21 41 35 35 48 3° 57 26 50 50 1 00 98 44 91 18 83 22 75 1° 67 01 59 i fi 52 05 45 38 39 5'6 34 57 30 38 1 OO 10 95 3° 89 04 82 16 75 14 68 09 61 17 54 4° 48 44 43 14 38 17 33 53 IO 20 92 46 87 °7 81 09 75 00 68 50 62 38 5° 41 51 04 45 49 41 00 3° 37 20 30 90 24 85 20 80 02 74 34 69 01 63 28 58 02 52 5° 47 52 43 13 38 55 30 40 88 14 8341 78 55 74 °° 68 59 °3 57 58 58 54 06 49 26 44 59 40 48 42 So 40 50 86 17 82 08 77 49 73 20 68 46 64 10 59 34 55 02 5° 38 46 24 50 2 00 84 27 So 39 76 41 72 36 68 24 64 10 59 54 55 4° 51 32 47 29' 43 36 2 00 10 82 44 79 13 75 34 71 47 °7 55 64 00 60 02 5° °5 52 10 48 19 44 35 10 20 81 06 77 5° 74 27 7° 57 ' 67 21 63 41 60 00 56 17 52 35 4856 45 21 20 30 79 31 76 28 73 19 70 04 66 42 63 18 59 49 56 20 52 50 49 21 45 56 30 40 77 59 75 09 72 11 69 08 66 00 62 48 59 32 56 15 52 56 49 38 46 20 40 50 76 30 73 5° 71 03 68 11 65 14 62 13 59 °9 56 03 52 54 49 45 46 39 50 3 00 ' 75 °3 72 32 69 55 67 13 64 26 61 35 58 41 55 44 52 45 49 45 46 44 3 00 10 73 38 71 '4 68 46 66 13- °3 35 60 54 58 09 55 21 52 31 49 39 46 45 10 20 72 13 69 58 67 37 65 13 62 43 60 11 57 34 54 54 52 12 49 27 46 41 20 30 70 50 6S 40 66 28 64 10 61 48 59 24 56 55 54 22 51 47 49 11 46 31 30 40 69 28 67 26 °5 19 63 08 60 54 58 35 56 12 53 48 51 20 48 5° 46 17 40 50 68 07 66 10 64 09 62 05 59 56 57 45 •55 29 53 1° 5° 49 4825 45 57 50 4 00 66 46 °4 55 62 59 61 00 58 57 56 52 54 42 52 3° 50 14 47 57' 45 35 4 00 10 65 26 63 40 61 49 59 55 57 58 55 58 53 54 51 47 49 37 47 25 45 °9 10 20 64 06 62 24 60 39 58 5° 5658 55 02 53 °4 51 03 48 58 46 50 44 4° 20 30 62 47 61 09 59 28 57 44 55 56 54 06 52 II 5° 16 48 16 46 13 44 08 30 40 61 28 59 54 58 17 56 37 54 53 53 08 51 19 49 27 47 32 45 34 43 34 40 50 60 09 58 38 57 °5 55 29 53 50 52 08 5<> 24 48 37 46 47 44 54 42 57 50 6 00 58 49 57 22 55 53 54 21 52 '46 51 09 49 28 47 45 45 59 44 1° 42 18 5 00 10 57 3° 56 06 54 41 53 12 51 40 50 07 48 30 46 51 45 10 43 25 41 37 10 20 56 10 54 5i 53 28 52 04 5° 36 49^5 47 32 45 57 44 19 42 38 4° 55 20 30 54 51 53 34 32 15 5° 53 49 28 48 22 48 02 46 33 45 02 43 27 41 5° 40 10 30 40 . 53 32 52 18 51 01 49 43 46 58 45 32 44 °4 42 33 4° 59 39 2 4 40 50 52 13 51 02 49 48 48 32 47 14 45 54 44 31 43 °° 41 39 40 09 38 36 50 6 00 5° 53 49 44 48 34 47 21 46 05 44 49 43 29 42 07 40 42 39 16 37 47 6 ' 00 10 49 33 48 27 47 19 46 09 44 57 43 42 42 26 41 °7 39 46 3848 38 23 36 57 10 20 48 13 47 10 46 04 44 5° 43 47 42 35 41 22 40 06 37 28 36 05 20 30 46 53 45 52 44 49 43 44 42 36 41 28 40 16 39 °4 37 49 36 33 35 13 30 40 45 32 44 34 43 33 42 3° 41 25 40 20 39 12 38 01 36 49 35 35 34 19 40 50 44 11 43 14 42 16 41 17 40 14 39 11 38 06 3658 35 48 34 38 33 24 50 7 00 42 51 41 56 41 00 40 02 39 °3 38 01 3658 35 54 34 47 33 38 32 28 7 OO 10 41 29 40 3? 39 42 38 47 37 50 36 51 35 51 34 49 33 45 32 39 31 31 10 20 40 07 39 17 38 25 37 31 36 36 35 41 34 43 33 43 32 42 31 39 3° 33 20 30 38 45 37 57 37 °7 36 17 35 24 34 29 33 33 32 37 31 38 3° 37 29 35 30 40 37 23 3* 36 35 49 35 °° 34 1° 33 18 32 25 31 29 3° 33 29 35 2835 40 50 36 00 35 *6 34 3° 33 44 32 55 32 06 31 14 30 22 29 28 28 33 27 36 50 8 OO 34 36 33 54 33 11 32 27 31 4° 3° 53 30 04 29 14 28 23 27 3° 26 35 8 00 10 33 14 32 33 31 51 31 08 30 24 29 39 28 53 28 05 27 16 26 26 25 33 10 20 31 49 31 12 30 32 29 51 29 08 28 26 27 42 26 56 26 09 25 21 24 31 20 30 30 26 29 49 29 11 28 32 27 52 27 12 26 29 25 46 25 01 24 16 23 28 30 40 29 02 28 26 27 51 27 14 26 35 25.57 25 16 24 36 23 54 23 10 22 25 40 50 2736 27 04 26 30 25 54 25 19 24 42 24 04 23 25 22 45 22 04 21 21 50 9 00 26 II 25 4° 25 08 24 35 24 01 23 27 22 51 22 14 21 36 2° 57 20 16 9 00 10 24 46 24 17 23 4° 23 15 22 43 22 11 21 37 21 02 20 27 19 49 19 11 IO 20 23 21 22 53 22 24 21 55 21 25 2° 55 20 22 19 5° 19 16 18 42 18 07 20 30 21 55 21 28 21 02 20 35 20 06 19 38 19 08 18 38 18 06 17 33 16 58 30 40 20 28 20 04 19 39 19 14 18 47 18 20 17 53 17 24 16 55 16 26 15 54 40 50 19 02 18 39 18 16 17 53 17 28 17 °3 16 37 16 11 15 44 15 17 14 47 50 10 00 17 35 17 14 16 53 16 32 16 09 15 46 15 22 14 58 14 33 14 t>7 13 4i 10 00 10 16 08 15 49 15 29 15 °9 13 48 14 49 14 28 14 06 13 44 13 21 12 57 12 34 10 20 14 4° 14 24 14 06 13 29 13 1° 12 50 12 30 12 10 11 48 11 26 20 30 13 13 12 58 12 42 12 25 12 09 II 52 11 34 11 16 1° 57 10 38 10 18 30 40 II 46 :i 32 11 18 11 04 10 48 10 32 10 17 10 02 9 45 9 28 9 10 40 50 10 18 10 06 9 53 9 4i 9 28 9 14 9 01 8 46 8 32 8 17 8 02 50 11 00 8 50 8 39 8 29 8 17 8 07 7 55 7 44 7 31 7 19 7 06 6 53 11 00 10 7 22 7 13 7 04 6 55 6 46 6 37 6 27 6 17 6 06 5 56 5 44 10 20 5 54 5 4° 5 40 5 32 5 24 5 17 5.°9 5 02 4 53 4 45 4 35 20 30 4 25 4 20 4 15 4 10 4 °3 3 58 3 52 3 4° 3 4° 3 34 3 27, 30 40 256 2 54 2 50 2 46 2 42 2 39 2 35 2 31 2 26 2 23 2 IS 40 50 1 29 1 26 1 25 1 24 1 21 1 20 1 17 1 15 1 14 1 11 I 09 50 12 00 00 00. 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or Bast of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East* and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 257 AZIMUTH OR TRUE BEARING. LATITUDE: 63° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 63°. Hour Angle. Ii. O 11 12 in. 00 io 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 OO 24° 180 oo 176 22 172 45 169 10 i°5 35 162 01 158 33 155 05 151 42 148 21 145 04 141 52 138 43 135 38 132 37 129 4c 126 46 123 57 121 11 118 28 "5 49 "3 13 no 39 108 09 105 41 103 16 100 53 98 32 96 14 93 57 91 41 89 27 87 14 85 °3 82 52 80 43 78 35 76 25 74 19 72 12 70 05 °7 58 65 52 63 46 61 39 59 32 57 26 55 20 53 '3 51 05 48 58 46 49 4441 42 31 25° 40 21 38 11 36 01 33 49 31 3° 29 23 ' 27 11 24 5° 22 43 20 28 15 57 13 41 11 25 9 08 652 4 34 2 17 00 180 00 176 19 172 39 169 01 165 22 161 48 158 15 154 46 151 20 147 57 144 39 141 24 138 14 135 08 132 05 129 08 126 12 123 23 120 36 117 53 "5 14 112 38 no 04 lt>7 34 105 07 102 41 100 18 97 58 95 39 93 22 91 07 88 53 86 41 84 30 82 20 80 11 78 02 75 54 73 49 71 41 69 35 67 29 65 23 63 17 61 12 59 °7 57 00 54 54 52 49 50 42 48 34 46 27 44 19 42 II 40 02 37 52 35 42 33 32 31 20 29 09 26 57 24 44 22 31 20 18 18 04 15 49 13 35 11 19 9 03 6 48 4 32 2 16 26° 180 00 176 16 172 33 168 51 165 11 161 32 157 58 154 26 150 58 147 33 144 13 140 56 137 44 134 37 131 34 128 34 125 40 122 49 120 02 117 18 114 38 112 or 109 28 lob 58 104 31 102 06 99 43 97 23 95 °4 92 48 90 32 88 1°. 86 08 83 57 81 47 79 39 77 31 75 24 73 18 7i 12 69 06 67 00 6455 62 50 60 45 58 40 5636 54 30 52 24 50 18 48 12 46 06 43 58 41 51 39 43 37 34 35 25 33 15 31 05 28 54 26 44 24 32 22 20 20 07 17 54 15 4i 13 27 " 13 8 59 6 44 4 3° 2 14 o 00 180 00 176.12 172 26 168 41 164 58 161 17 157 39 154 04 150 34 147 07 143 44 140 26 137 13 134 °4 131 00 128 00 125 04 122 12 119 25 116 41 114 01 ill 25 108 51 106 20 I°3 54 101 28 99 0° 96 46 94 28 92 12 8958 87 44 85 33 83 23 81 14 79 °6 7°58 74 52 72 47 70 40 6835 6631 64 26 62 22 60 18 58 14 56 08 54 °4 52 00 49 54 47 49 45 43 43 37 41 3° 39 23 37 16 35 07 32 58 30 50 28 40 26 30 24 19 22 08 19 57 17 45 15 33 13 21 11 07 8 54 6 40 4 28 2 14 o 00 28° 180 00 176 09 172 19 168 30 164 43 161 00 157 19 153 42 150 08 146 39 143 15 139 56 136 4° 133 3° 130 25 127 24 124 27 121 35 "8 47 116 03 113 22 no 46 108 13 105 42 103 16 100 50 98 29 96 09 93 52 91 3° 89 21 87 °9 84 59 82 49 80 40 78 32 76 26 74 19 72 15 70 10 68 05 66 01 63 57 61 53 59 50 57 47 55 43 53 39 51 34 49 31 47 26 45 21 43 16 41 °9 36 56 34 49 32 42 30 34 28 25 26 16 24 06 21 57 19 47 17 35 15 25 13 14 11 01 849 638 4 25 2 12 29° 180 00 176 06 172 12 168 20 164 29 160 42 156 59 153 19 H9 43 146 11 142 45 139 23 136 07 132 56 129 5° 126 47 123 49 120 58 118 09 115 24 112 44 no 08 107 34 105 04 102 37 100 12 97 51 95 31 93 14 90 59 88 44 8633 84 23 82 13 80 05 77 59 75 52 73 4° 71 42 69 38 67 35 65 32 63 28 61 25 59 22 57 19 55 16 53 14 51 09 49 07 47 02 44 58 42 54 4049 38 43 3° 38 34 32 32 25 30 18 28 II 26 03 23 54 21 45 19 36 17 27 15 1° 13 06 10 55 8 45 6 34 4 22 30° 180 00 176 01 172 04 168 08 164 15 160 24 15637 152 53 149 16 145 4i 142 14 138 51 135 32 132 20 129 12 126 09 123 n 120 18 117 29 114 44 112 04 109 27 106 54 104 24 101 57 99 33 97 12 94 53 92 36 90 21 85 56 8346 81 38 79 3° 77 24 75 18 73 13 71 10 69 06 67 03 65 00 62 58 60 56 58 54 56 52 54 50 52 47 5° 45 48 42 46 39 44 36 42 32 40 28 38 24 36 19 34 13 32 08 30 02 27 55 25 49 23 4i 21 '34 19 26 17 17 15 °8 12 59 10 49 8 40 6 30 4 20 2 10 31° 180 00 175 58 171 56 167 56 163 58 160 04 156 14 152 28 148 48 145 11 141 40 138 15 134 56 131 42 128 33 125 29 122 30 "9 37 116 49 114 03 in 23 108 46 106 13 l°3 43 101 17 98 53 96 31 94 13 91 57 89 43 8729 85 19 83 10 81 01 78 55 7648 74 44 72 40 7°37 66 32 64 30 62 29 60 26 58 25 56 24 54 22 52 22 50 19 48 18 46 16 44 13 42 10 40 08 38 04 36 00 33 56 31 52 29 46 27 41 25 35 23 29 21 22 19 15 17 08 15 °° 12 52 10 43 8 3° 6 26 4 18 2 09 o 00 32° 180 00 175 54 171 47 167 43 163 42 159 43 155 51 152 01 148 17 144 39 141 06 137 40 134 18 131 03 127 53 124 48 121 49 "8 55- 116 06 113 21 no 40 108 04 i°5 31 103 01 100 35 98 12 95 51 93 32 91 17 89 04 86 51 8441 82 32 80 25 78 19 76 14 74 1° 72 06 70 05 68 02 66 00 63 59 61 58 33° 59 57 57 57 55 56 53 56 '51 55 49 54 47 54 45 52 43 50 4i 49 39 46 37 44 35 42 33 39 31 35 29 3i 27 26 25 21 23 16 21 11 19 °4 16 58 14 52 12 45 10 38 831 6 23 4 15 2 08 00 180 00 175 48 171 39 167 30 163 24 159 22 155 25 151 33 147 46 144 05 140 30 137 °l 133 38 130 22 127 n 124 06 121 05 Il8 12 115 22 112 37 109 56 107 20 104 47 102 18 99 52 97 29 95 °9 92 51 90 36 88 23 86 11 84 02 81 54 79 47 77 42 75 38 73 34 71 31 69 30 67 28 65 28 63 27 61 27 59 27 57 27 55 28 53 28 51 29 49 28 47 29 45 28 43 27 41 27 39 26 37 24 35 22 33 20 31 17 29 14 27 II 25 07 23 02 20 58 18 54 16 48 14 43 12 37 10 32 8 25 6 19 4 13 2 07 o 00 34° 180 00 175 44 171 28 167 16 163 06 158 59 154 59 151 02 147 13 143 29 139 52 136 21 132 56 129 38 126 26 123 21 120 20 117 26 "4 36 III 51 I09 II 106 34 IO4 02 I°I 33 99 08 96 45 94 26 92 09 89 54 8742 85 31 83 23 81, 15 7908 77 °4 75 01 72 59 7°5° 6856 66 55 °4 54 62 55 60 56 5856 5658 54 59 53 00 51 02 49 ° 2 47 °3 45 °4 43 °4 41 05 39 04 37 04 35 °3 33 °2 31 00 2858 26 57 24 53 22 50 20 46 1843 16 39 14 35 12 30 10 25 8 21 ° 15 4 11 2 06 o 00 35° 180 00 175 39 171 18 .167 00 162 45 158 36 154 30 150 31 146 38 142 51 139 12 135 39 132 14 12855 125 41 122 34 "9 34 116 39 "3 50 in 04 108 24 105 48 103 16 100 47 98 23 96 01 93 42 91 26 89 13 87 00 84 50 82 42 8035 78 30 76 26 74 24 Hour Angle. h. O 72 22 70 21 68 21 66 21 64 22 62 23- 60 25 58 26 56 28 54 31 52 32 50 35 48 36 4.6 38 44 4° 42 42 4° 43 38 43 36 43 34 44 32 44 30 43 28 42 26 41 24 4° 22 37 20 35 18 33 16 29 14 27 12 23 10 20 8 16 6 12 4 08 2 04 00 10 11 iu. 00 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO IO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 SO OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 IO 20 30 40 50 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East' and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. ' In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. ' When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing. • B 5682 02- -17 258 AZIMUTH OR TRUE BEARING. LATITUDE 63°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 63°. Hour An gle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. ta. 111. o / / 1 / / / / / / / / / Ii. in. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 oo- 180 00 180 00 180 00 180 00 00 10 175 33 175 27 175 21 175 13 175 °° 174 58 174 49 174 39 174 29 174 18 174 04 173 5° 10 20 171 08 17° 55 170 42 170 29 170 14 i°9 59 169 41 169 22 169 01 168 38 168 12 167 44 20 30 166 44 166 27 166 08 165 47 165 26 165 03 I°4 37 164 09 163 40 163 06 162 29 161 47 30 40 162 24 162 03 161 38 161 n 160 43 160 13 159 4° 159 °5 158 25 157 42 156 55 156 02 40 SO 158 13 157 42 157 12 156 42 156 07 155 31 154 51 154 °9 '53 21 152 31 151 34 150 31 50 1 00 154 °° 153 28 152 55 152 18 151 40 15° 57 150 12 149 23 148 3° 147 32 146 28 145 18 1 00 10 149 57 149 21 148 44 148 03 147 20 146 32 145 42 144 48 143 5° 142 46 141 37 140 22 10 20 146 01 145 22 144 40 143 57 143 °9 142 19 141 24 140 26 139 23 138 15 137 °2 135 42 20 30 142 12 141 30 140 45 139 58 139 °8 138 14 '37 17 13° 15 135 °9 133 58 132 41 131 18 30 40 138 3° 137 46 13° 59 136 09 135 17 134 19 133 20 132 17 131 07 129 54 128 34 127 11 40 SO 134 56 134 09 133 20 132 29 131 35 13° 3 6 129 34 128 29 127 19 126 04 124 45 123*19 50 2 00 131 28 13° 39 129 50 1 23 56 12S 00 127 01 125 58 124 52 123 41 122 25 121 05 119 40 2 00 10 128 08 127 18 126 27 125 33 124 36 123 36 122 32 121 25 120 13 118 58 117 38 116 14 lO 20 124 54 124 04 123 12 122 16 121 19 120 19 "9 15 118 08 116 56 "5 4i 114 22 112 58 20 30 121 46 120 55 120 03 119 07 118 10 117 09 116 05 114 59 113 48 112 34 in 15 109 52 30 40 118 46 "7 54 117 01 116 06 115 09 114 08 "3 °4 I" 57 no 47 I°9 34 108 17 106 56 40 50 115 50 "4 59 114 06 113 11 112 14 in 13 no 10 109 04 107 55 106 43 105 27 104 08 50 3 00 113 00 112 10 III 16 no 22 109 25 ic8 25 107 23 106 18 105 10 l°3 58 102 44 101 27 3 00 10 no 16 109 25 108 32 107 38 106 41 l°5 43 104 41 l°3 37 102 30 101 21 100 08 98 52 10 20 107 36 106 45 l°5 53 104 59 104 04 103 06 102 05 101 02 99 56 98 48 97 37 9° 23 20 30 105 00 104 10 103 18 102 25 101 30 I°° 33 99 33 98 32 97 28 96 21 95 12 94 00 30 40 102 29 101 39 100 48 99 56 99 02 98 °5 97 07 96 07 95 04 93 59 92 51 91 41 40 50 100 01 99 12 98 21 97 3° 9 6 37 95 42 94 44 93 45 92 44 91 41 9° 35 89 27 50 4 00 97 37 96 48 96 00 95 09 94 17 93 22 92 26 91 28 90 28 89 26 88 22 87 16 4 00 10 95 :5 94 27 93 40 92 49 91 59 91 °5 90 10 89 14 88 15 87 15 86 12 85 09 10 20 92 57 92 10 91 22 89 09 9° 34 89 44 8852 87 58 87 03 86 05 85 06 84 °7 83 04 20 30 90 42 8956 88 21 87 32 86 40 85 48 84 54 83 59 83 01 82 02 81 02 30 40 88 29 87 43 8658 86 11 85 22 84 33 83 41 82 49 81 54 80 59 80 02 79 02 40 50 86 17 85 33 84 49 84 02 83 15 82 26 81 37 80 45 79 52 7858 78 02 77 °5 50 5 OO 84 08 83 25 82 41 81 56 81 09 80 22 79 33 78 43 77 52 7° 59 76 04 75 °9 5 00 10 82 01 81 18 80 35 79 51 79 °° 78 19 77 31 76 43 75 53 75 01 74 °9 73 14 lO 20 79 5° 79 13 78 31 77 48 77 °5 76 18 75 32 74 45 73 56 73 °° 72 14 71 22 20 30 77 5° 77 10 76 28 75 47 75 °4 74 19 73 34 72 48 72 00 71 11 70 21 69 30 30 40 75 47 75 07 74 27 73 45 73 °4 72 20 71 3° 7° 52 70 05 69 18 68 29 67 4° 40 50 73 46 73 07 72 28 71 48 71 06 70 25 69 41 6858 68 12 67 26 66 39 65 52 50 6 OO 7i 45 71 06 70 28 69 49 69 09 68 28 67 46 67 04 66 19 °5 35 64 49 64 02 6 00 10 69 44 69 07 68 29 67 51 67 13 66 32 65 5i 65 10 64 27 63 43 62 59 62 15 10 20 67 46 67 09 6633 65 5° 65 18 6438 63 58 °3 19 62 37 61 54 61 12 60 28 20 30 65 47 65 II 64 36 63 59 63 22 62 44 62 06 61 27 60 47 60 05 59 24 58 41 30 40 63 48 °3 14 62 39 62 04 61 28 60 51 60 13 59 36 5856 58 15 57 36 5656 40 50 61 51 61 16 60 43 60 08 59 34 5858 58 22 57 45 57 06 5628 55 49 55 °9 50 7 00 59 53 59 2° 58 47 58 14 57 41 57 06 56 30 55 54 55 17 54 41 54 02 53 24 7 00 10 57 55 57 23 5P 51 56 19 55 4° 55 12 54 39 54 04 53 28 52 52 52 15 51 38 10 20 55 58 55 27 54 56 54 24 53 53 53 21 52 47 52 14 51 4° 51 04 50 29 49 54 20 30 54 01 53 31 53 02 52 31 52 00 51 28 5° 57 5° 25 49 51 49 17 48 43 48 09 30 40 52 04 51 35 51 06 5° 37 50 07 49 36 49 06 48 35 48 02 47 29 46 57 46 23 40 50 50 07 49 39 49 " 48 42 48 14 47 44 47 14 46 45 46 14 45 42 45 11 44 39 50 8 00 48 09 47 42 47 16 46 48 46 21 45 52 45 23 44 54 44 25 43 54 43 25 42 53 8 OO 10 46 12 45 4° 45 20 44 54 44 28 44 00 43 33 43 °5 42 3° 42 07 41 38 41 08 lO 20 44 15 43 49 43 25 43 0° 42 34 42 08 41 41 41 15 40 47 40 19 39 52 39 23 20 30 42 17 41 54 41 3° 41 05 40 41 4° 15 39 5° 39 25 38 58 38 32 38 05 37 37 30 40 40 20 39 5° 39 34 39 I" 38 47 38 22 37 59 37 34 37 °9 3° 43 36 18 35 52 40 50 38 21 37 59 37 38 37 15 3° 52 3° 3° 36 06 35 43 35 20 34 5° 34 3i 34 07 50 9 00 36 23 36 02 35 4° 35 20 34 58 34 3° 34 14 33 53 33 29 33 °6 32 44 32 20 9 00 10 34 23 34 04 33 44 33 24 33 °4 32 44 32 22 32 01 31 39 31 19 3° 56 30 34 10 20 32 25 32 06 31 48 31 28 31 °9 30 49 3° 3° 30 11 29 5° 29 29 29 °9 28 48 20 30 3° 25 30 07 29 50 29 32 29 14 28 55 28 37 28 19 23 00 27 4° 27 21 27 02 30 40 28 26 28 09 27 52 27 36 27 19 27 02 26 45 26 27 26 09 25 5i 25 32 25 15 40 50 26 26 26 09 25 55 25 39 25 23 25 °7 24 51 24 34 24 18 24 01 23 45 23 28 50 lO OO 24 25 24 10 23 57 23 42 23 27 23 13 22 57 22 42 22 27 22 12 21 56 21 40 10 00 10 22 24 22 11 21 58 21 44 21 31 21 17 21 03 20 50 20 36 20 22 20 07 19 53 lO 20 20 23 20 II 19 59 19 47 19 35 19 22 19 10 18 58 18 44 IS 32 18 18 18 05 20 30 18 21 18 II 18 00 17 49 17 3° 17 27 17 15 17 04 1° 53 16 41 16 29 16 17 30 40 l6 20 16 10 16 01 15 51 15 41 15 31 15 21 15 11 15 °o 14 5° 14 39 14 29 40 50 14 18 14 10 14 01 13 53 13 44 13 35 13 26 13 17 13 09 = 2 59 12 50 12 40 50 11 00 12 16 12 08 12 01 > 53 11 47 II 39 II 31 n 23 11 15 11 08 II 00 1° 53 11 00 10 lo 13 10 08 10 01 » 55 9 5° 9 43 9 37 9 31 9 23 9 17 9 12 9 °4 10 20 8 11 8 06 8 01 7 5° 7 5i 7 4° 7 41 7 37 7 31 7 26 7 21 7 15 20 30 6 08 6 05 60' 5 57 5 54 5 50 5 4° 5 42 5 38 5 34 5 3° 5 27 30 40 4 06 4 °4 4 01 3 59 3 56 3 54 3 51 3 48 3 4° 3 43 3 4° 3 37 40 50 2 03 2 02 2 01 1 59 I 58 1 57 1 55 1 54 1 53 1 51 1 5° 1 48 50 ia 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latltnde, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is sitting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latltnde and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 259 AZIMUTH OR TRUE BEARING. LATITUDE 63°. DECLINATION— SAME NAME AS— LATITUDE LATITUDE 63°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. ill. o / / / / / / / / / / / - / li. 111. OO 180 oo 180 00 180 00 180 00 1S0 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 173 33 173 14 172 53 172 28 171 58 171 23 170 40 169 47 168 38 167 08 165 05 162 02 10 20 167 11 .166 35 165 53 165 04 164 08 163 00 161 39 159 59 157 53 155 11 151 35 146 35 20 30 161 01 160 08 159 08 157 59 156 39 155 °4 153 13 150 58 148 11 144 42 140 14 134 24 30 40 155 °3 153 56 148 05 152 42 151 17 149 38 147 43 145 29 142 5° 139 39 135 46 13° 59 125 04 40 50 H9 23 146 39 145 00 143 °9 141 00 138 32 135 4° 132 17 128 16 123 31 117 50 50 1 OO .144 01 142 36 141 00 139 13 137 13 134 56 132 20 129 22 125 56 121 58 117 23 112 06 1 00 10 138 59 137 26 135 45 133 52 131 47 129 26 126 47 123 49 120 26 116 37 112 17 107 24 10 20 134 15 132 38 130 54 128 58 126 50 124 29 121 50 "8 55 115 39 112 00 107 57 103 26 20 30 129 50 128 11 126 24 124 27 122 19 "9 57 117 24 "4 33 in 25 107 58 104 10 100 01 30 40 125 39 124 01 122 14 120 18 118 11 "5 53 113 22 no 38 107 39 104 23 100 51 97 00 40 50 121 47 120 08 118 22 116 27 114 23 112 09 i°9 43 107 05 104 15 101 II 97 52 94 19 50 2 00 118 09 116 30 "4 45 112 52 no 52 108 41 106 21 103 51 101 09 98 15 95 1° 91 50 2 00 10 "4 43 113 06 III 23 l°9 33 107 36 105 30 l°3 15 100 52 98 18 95 34 92 39 89 33 10 20 III 29 i°9 54 108 14 106 27- 104 33 102 32 100 23 98 °5 95 4° 93 °5 90 20 87 26 20 30 108 25 106 52 105 14 103 30 101 40 99 44 97 41 95 29 93 " 90 44 88 10 85 25 30 40 105 30 I°3 59 102 25 100 44 98 59 97 06 95 °7 93 03 90 50 88 32 86 05 83 31 40 50 102 44 101 16 99 45 98 07 96 25 94 37 92 43 9° 43 88 38 86 26 84 07 81 41 50 3 OO 100 06 98 40 97 " 95 37 93 58 92 14 go 26 88 31 86 32 84 26 82 14 79 56 3 00 10 97 33 96 10 94 43 93 12 91 37 89 58 88 13 86 24 84 29 82 30 80 25 78 13 lO 20 95 °7 93 46 92 23 9° 54 89 22 87 47 86 06 84 22 82 32 80 38 7838 76 34 20 30 9* 46 91 27 90 06 88 41 87 12 85 40 84 04 82 23 80 38 78 5° 76 56 74 57 30 40 90 29 89 13 87 54 8632 8507 8338 82 05 80 29 78 49 77 °4 75 15 73 22 40 50 88 16 8703 85 47 84 27 83 °5 81 39 80 10 78 37 77 °i 75 21 73 37 71 49 SO 4 OO 86 08 84 56 83 43 82 25 81 06 79 44 78 18 76 49 75 17 73 4i 72 01 70 18 4 00. lO 84 02 82 52 81 41 80 27 79 10 77 5° 76 28 75 °2 73 34 72 02 70 26 68 48 IO 20 81 59 80 52 79 43 78 31 77 17 76 01 74 41 73 18 7i 53 70 25 68 53 67 18 20 30 79 59 78 54 77 47 76 37 75 26 74 12 72 55 71 36 70 14 68 49 67 21 65 5° 30 40 78 01 76 58 75 54 74 46 73 37 72 25 71 n 69 55 68 36 67 14 65 5° 64 22 40 50 76 06 75 "4 74 °2 72 56 7i 5° 70 41 69 29 68 15 66 59 65 40 64 19 62 55 50 5 OO 74 11 73 :2 72 11 71 07 70 03 6P57 67 47 66 37 65 24 64 08 62 49 61 29 5 OO lO 72 19 71 21 70 22 69 21 68 19 67 14 66 08 64 59 6348 62 36 61 20 60 02 10 20 70 27 69 33 6835 67 36 6635 65 33 64 29 63 22 62 14 61 05 59 52 58 36 20 30 68 38 67 44 66 49 °5 52 64 53 63 52 62 51 61 47 60 41 59 33 58 23 57 12 30 40 66 49 65 57 65 03 64 08 63 «. 62 12 61 13 60 II 59 °8- 58 03 56 55 55 45 40 50 65 02 64 11 63 19 62 25 61 31 60 34 59 37 58 36 57 36 56 32 55 28 54 21 50 6 OO 63 15 62 26 61 35 60 43 59 51 58 55 58 00 57 °2 56 04 55 °2 54 °o 52 55 6 00 IO 20 30 40 50 lO 61 28 60 41 59 51 59 ° 2 58 10 57 18 56 24 55 28 54 31 53 33 52 33 51 30 20 59 44 58 57 58 10 57 22 56 32 55 42 54 49 53 55 53 °I 52 04 51 °5 5° °5 30 57 54 57 13 56 28 55 4° 54 52 54 °3 53 13 52 21 51 28 5° 34 49 38 48 41 40 56 13 55 3" 54 46 54 °° 53 14 52 26 51 38 50 48 "■m 49 "4 48 II 47 15 50 54 29 53 47 53 °4 52 20 51 36 5° 50 50 03 49 15 48 26 47 35 46 43 45 49 7 00 52 45 52 05 51 23 5° 41 49 58 49 14 48 28 47 42 46 54 46 06 45 IS 44 25 7 00 10 20 30 40 50 lO 51 00 50 22 49 4i 49 01 48 : 9 47 37 46 53 46 08 45 23 44 36 43 48 42 58 20 49 17 48 39 48 00 47 21 46 41 46 00 45 18 44 35 43 52 43 °6 42 20 41 33 30 47 33 46 57 46 20 45 4i 45 °4 44 24 43 44 43 °2 42 20 41 37 40 52 40 07 40 45 49 45 14 44 ?9 44 02 43 26 42 48 42 09 41 29 40 49 40 07 39 25 38 41 50 44 06 43 32 4258 42 23 41 49 41 11 4° 34 39 56 39 I* 38 37 37 57 37 « 8 OO 42 22 41 49 41 16 40 43 40 09 39 33 38 57 38 21 37 44 37 °6 36 28 35 48 8 00 10 20 30 40 50 10 40 38 40 07 39 35 39 °4 38 31 37 57 37 24 36 48 36 13 35 36 34 59 34 21 20 38 54 38 24 37 55 37 23 36 52 36 21 35 48 35 14 34 4i 34 °6 33 3° 32 54 30 37 10 36 42 36 13 35 43 35 14 34 43 34 12 33 40 33 08 32 35 32 01 31 26 40 35 26 34 59 34 32 34 °2 33 35 33 °° 32 36 32 06 31 36 31 04 3° 32 29 58 50 33 41 33 16 32 5° 32 23 31 56 31 28 31 01 3° 32 3° °3 29 32 29 02 28 31 9 OO 31 5 6 31 32 31 °7 30 42 30 17 29 51 29 24 28 57 28 29 28 01 27 32 27 02 9 OO 10 20 30 40 50 10 30 11 29 49 29 26 29 01 28 37 28 13 27 47 27 22 26 56 26 29 26 01 25 33 20 28 27 28 05 27 43 27 21 26 58 26 35 26 II 25 46 25 22 24 57 24 32 24 05 30 26 41 26 21 26 00 25 40 25 18 24 56 24 34 24 11 23 48 23 25 23 00 22 36 40 24 55 24 37 24 !7 23 58 23 38 23 17 22 57 22 36 22 14 21 52 21 3° 21 07 50 23 10 22 52 22 34 22 16 21 58 21 39 21 19 21 00 20 40 20 20 19 59 19 37 10 00 21 24 21 08 20 52 20 35 20 17 19 59 19 42 19 24 19 06 18 46 18 28 18 07 IO OO 10 20 30 40 50 10 19 38 19 23 19 08 18 52 18 36 18 20 18 04 17 48 17 31 17 13 16 56 16 37 20 17 52 17 38 17 24 17 10 1656 16 41 16 26 16 II 15 56 15 4° 15 25 15 °8 30 16 05 15 53 15 4° 15 27 15 15 15 °< 14 49 14 35 14 21 12 46 14 07 13 53 13 37 40 14 19 14 07 13 5 6 13 45 13 33 13 22 13 10 12 58 12 33 12 20 10 48 12 07 10 36 50 12 3 1 12 22 12 13 12 03 » 52 11 42 II 31 n 21 II II 1° 59 11 00 10 44 10 36 10 28 10 19 10 II 10 02 9 53 9 44 9 34 9 25 9 16 9 06 11 00 lO 8 57 8 50 8 43 8 36 8 29 8 22 8 15 8 07 7 59 7 51 7 43 7 35 10 20 7 10 7 °5 6 59 6 53 6 48 6 41 6 35 6 30 6 23 6 17 6 11 6 05 20 30 5 23 5 18 5 14 5 I0 5 °5 5 °' 45 Z 4 52 448 4 43 4 38 4 33 30 40 50 12 OO 40 3 35 3 33 3 3° 3 27 3 24 3 21 3 18 3 15 3 12 1 36 3 09 3 °5 3 02 50 I 47 1 46 I 44 1 43 I 42 1 40 1 39 1 37 1 35 1 33 1 3 1 12 00 00 00 00 00 00 00 00 00 00 00 00 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 260 AZIMUTH OR TRUE BEARING. LATITUDE 63°. DECLINATION— SAME NAME AS— LATITUDE- LATITUDE 63°. Hour Angle. 60° 61° 62° 63° 64° 66° 67° 68° 69° 70° Hour Angle. 10 11 12 in. 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 00 180 oo 157 » 139 17 126 38 117 41 in 06 106 01 l°l 55 98 28 95 3° 92 52 90 30 88 19 86 17 84 23 8234 80 49 \ 79 1° 77 33 75 57 74 26 72 55 71 26 °9 57 68 32 67 05 64 16 '62 52 61 29 60 05 58 43 57 19 55 57 54 35 53 12 S 1 49 50 26 49 °5, 47 41 46 18 44 55 43 32 42 08 40 44 39 20 37 56 36 31 35 °7 33 4i 32 16 3° 51 29 25 27 59 26 32 25 os 23 39 22 II 20 43 19 16 17 48 16 19 H 51 13 23 11 53 10 25 8 56 7 27 S 58 4 28 2 59 180 00 148 29 128 13 116 15 108 36 103 14 99 08 95 51 93 °3 90 37 88 27 86 26 84 35 82 50 81 II 79 34 78 01 76 3: 75 °3 73 36 72 10 7o 47 09 24 68 02 66 40 °3 58 62 38 61 18 59 59 58 39 57 19 56 00 54 41 53 20 52 01 50 41 49 20 48 01 46 40 45 19 43 59 42 37 41 16 39 54 38 32 37 10 35 48 34 24 33 01 31 37 30 14 28 50 27 25 26 01 24 36 23 II 21 45 20 19 18 53 17 27 16 00 14 34 13 °7 II 40 10 13 8 46 7 18 5 51 • 4 23 2 56 I 28 00 180 00 129 46 III II 102 45 97 45 94 14 91 30 89 14 87 14 85 26 83 45 82 10 80 40 79 13 77 49 76 26 75 04 73 45 72 27 71 09 5°, 5I 6834 67 18 66 01 64 45 63 29 62 14 60 58 59 43 58 27 57 11 55 54 54 38 53 21 52 05 50 48 49 31 48 13 46 56 45 38 44 20 43 °i 4i 42 40 23 39 °3 37 43 36 22 35 02 33 41 32 20 30 59 29 37 28 15 26 52 25 29 24 06 22 43 21 19 19 55 18 31 17 06 15 41 14 16 12 51 II 26 10 01 8 36 7 09 5 44 4 18 2 52 I 27 o 00 88 53 8746 86 39 85 33 84 26 83 19 82 11 81 04 79 57 78 49 77 42 76 34 75 26 74 19 73 10 72 02 70 53 69 45 6835 67 26 66 17 65 07 6 3 57 62 47 61 36 60 25 59 14 58 03 56 51 55 38 54 2° 53 13 52 00 50 46 49 32 48 18 47 03 45 48 44 33 43 17 42 01 40 44 39 27 38 10 36 52 35 34 34 15 32 56 31 37 30 18 2858 27 38 26 17 24 56 23 35 22 13 20 51 19 29 18 07 16 44 15 21 13 58 12 35 II 12 9 48 8 24 7 00 5 37 4 12 2 48 I 24 o 00 47 01 6338 70 02 72 55 74 17 74 50 74 55 74 42 74 17 73 45 73 05 72 21 71 33 70 42 69 48 6852 67 56 6658 65 57 64 57 63 55 62 52 61 49 60 45 59 39 58 34 57 26 5° 20 55 12 54 03 52 55 51 46 50 35 49 26 48 15 47 03 45 51 44 39 43 26 42 13 40 59 39 45 38 31 37 16 36 00 34 44 33 27 32 10 3° 54 29 36 28 18 27 00 25 41 24 22 23 03 21 44 20 23 19 03 17 42 16 22 IS 01 13 40 12 19 10 57 9 36 6 52 5 29 4 °7 2 45 o 00 27 36 45 23 55 21 61 02 64 24 66 25 67 37 68 15 6833 S 33 68 21 68 00 67 32 6658 66 21 6538 64 53 64 06 63 15 62 22 61 28 60 33 59 3° 58 37 57 38 56 37 55 35 54 34 53 30 52 26 51 21 50 15 49 09 48 02 46 54 45 46 44 37 43 28 42 17 41 06 39 55 38 44 37 32 36 18 35 06 33 52 32 38 31 23 30 09 2853 27 37 26 21 25 05 23 47 22 3° 21 12 18 36 17 18 15 59 14 40 13 21 12 02 10 42 9 22 8 02 6 42 5 22 4 01 2 41 1 21 00 00 18 37 33 26 43 46 50 41 55 19 58 26 60 32 61 55 62 49 63 21 °3 36 63 37 63 28 63 12 62 49 62 20 61 46 61 09 60 28 59 44 5858 58 10 57 20 56 27 55 34 54 39 53 42 52 44 51 46 50 45 49 44 48 42 47 4° 46 36 45 32 44 26 43 20 42 15 41 07 39 59 38 50 37 42 36" 32 35 21 34 10 33 00 31 48 30 35 29 22 28 09 26 56 25 42 24 27 23 12 21 57 20 41 19 25 18 09 16 53 15 36 14 19 13 02 11 44 10 26 9 °9 7 5° 6 32 5 14 3 55 2 37 I 18 o 00 13 40 25 36 35 02 42 07 47 19 51 05 53 50 55 49 57 13 58 12 5850 59 19 59 23 59 21 59 13 58 57 58 35 58 08 57 37 57 01 56 24 55 42 54 59 54 14 53 25 52 3° 51 44 50 51 49 57 49 01 48 05 47 07 46 07 45 07 44 06 43 05 42 02 40 58 39 53 38 48 37 42 3636 35 29 34 21 33 13 32 °4 30 55 29 43 28 34 27 23 26 12 25 01 23 48 22 35 21 22 20 09 18 55 17 41 16 26 15 12 13 57 12 41 11 26 10 10 854 7 3S 6 22 5 06 3 49 2 33 I 17 o 00 o 00 1° 35 20 15 28 30 35 12 40 27 44 34 47 40 50 04 51 52 53 12 54 10 54 51 55 17 55 32 55 36 55 33 55 22 55 05 54 43 54 16 53 47 53 13 52 36 51 56 51 14 50 3° 49 44 48 5° 48 06 47 15 46 22 45 28 44 32 43 36 42 39 41 40 40 40 39 41 38 39 37 36 3° 33 35 30 34 25 33 20 32 15 31 08 30 02 2853 27 46 26 37 25 28 24 18 23 08 7 25 6 11 4 57 3 43 2 29 I 14 o 00 o 00 8 29 16 28 23 33 29 38 34 41 38 47 42 05 44 43 46 47 48 24 49 39 50 35 51 15 51 43 51 59 52 07 52 06 51 59 51 46 51 28 51 06 5° 39 50 09 49 36 49 00 48 21 47 40 46 57 46 12 45 25 44 36 43 47 42 55 42 02 41 09 40 13 39 17 38 19 37 22 36 22 35 22 34 22 33 20 32 17 31 14 30 10 29 06 28 00 26 55 25 49 2442 23 35 22 27 21 57 21 19 20 46 20 10 19 35 19 01 18 24 17 52 17 12 16 42 16 00 15 31 14 47 14 22 13 34 13 11 12 21 II 59 II 07 10 48 9 53 9 37 8 40 8 25 2 13 6 02 4 49 3 37 2 25 658 13 37 19 43 25 09 29 50 33 47 37 06 39 50 42 04 43 51 45 18 46 26 47 18 47 57 48 24 48 42 48 51 48 53 48 48 48 37 48 22 48 03 47 39 47 13 46 41 46 08 45 33 44 55 44 14 43 32 4248 42 02 41 14 40 25 39 35 3843 37 50 36 57 36 01 35 05 34 08 33 10 32 II 31 12 30 12 20 10 28 08 27 06 26 03 24 59 23 55 22 50 21 45 20 38 19 32 18 26 17 18 16 10 15 03 13 55 12 46 11 37 10 28 9 19 8 10 7 00 5 5° 4 4° 3 30 2 20 I IE 10 11 12 111. 00 10 20 30 40 50 OO lO 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 OO lO 20 30 40 50 00 lO 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour anele and the supplement of the tabulated azimuth is to be taken for the required true bearing. 261 AZIMUTH OR TRUE BEARING. LATITUDE 64°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 64°. Hour An gle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. ni a O ' / / / / / / 1 / / / / b. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 17627 176 24 176 21 176 18 176 14 176 11 176 08 176 04 176 00 175 56 175 51 175 47 10 20 J72 54 172 48 172 43 172 36 172 31 172 24 172 16 172 09 172 01 171 52 171 44 171 34 20 30 169 23 169 14 169 06 168 57 168 47 168 37 168 26 168 15 168 04 167 51 167 38 167 24 30 40 165 52 165 42 165 29 165 18 165 05 164 52 16438 164 23 164 08 163 52 i°3 35 163 17 40 50 162 24 162 11 161 56 161 42 161 26 161 09 160 53 160 35 160 17 159 56 159 35 159 14 50 1 00 15858 158 42 158 26 158 08 157 50. 157 31 157 11 156 5° 156 28 156 04 155 41 155 15 1 00 10 155 34 155 16 154 57 154 37 154 17 153 54 153 32 153 °8 152 44 152 18 151 49 151 20 10 20 152 13 151 54 151 32 151 10 150 47 150 23 149 57 149 32 149 04 148 35 148 04 147 33 20 30 1485° 148 33 148 10 147 47 147 21 146 55 146 27 145 58 145 28 144 58 144 25 143 5° 30 40 50 40 145 42 145 17 144 52 144 26 143 59 143 31 143 °2 142 3° 141 58 141 25 140 50 140 13 50 142 31 142 05 141 39 141 n 140 42 140 12 139 41 139 °9 138 34 137 59 137 23 136 43 2 00 13? 24 13857 138 28 137 59 137 29 13° 57 136 24 135 5° 135 15 134 38 133 59 133 19 2 00 10 136 20 135 51 135 22 134 51 134 20 133 47 133 13 132 38 132 01 131 23 130 43 130 01 10 20 133 20 132 5° 132 20 131 49 131 15 130 42 130 07 129 30 128 52 128 13 127 32 126 50 20 30 30 130 23 129 53 129 21 128 49 128 15 127 40 127 04 126 27 125 48 125 08 124 27 123 42 40 127 30 126 59 126 26 125 54 125 18 124 43 124 07 123 29 122 49 122 08 121 25 120 42 40 50 124 41 124 09 123 36 123 02' 122 27 121 50 121 13 120 35 119 55 119 14 118 31 117 47 50 3 00 121 55 121 23 120 48 120 15 "9 39 119 02 Il8 25 "7 45 117 04 116 23 115 4° 114 56 3 OO 10 119 12 118 39 118 06 117 30 116 54 116 17 115 39 114 59 114 19 "3 37 112 54 112 09 10 20 116 32 "5 5» H5 24 114 50 114 13 "3 36 112 57 112 18 I" 37 no 55 no 13 109 28 20 30 30 "3 55 113 21 112 47 112 12 in 36 no 58 no 20 109 40 103 00 108 18 i°7 35 106 51 40 in 22 no 47 no 12 109 38 109 02 108 24 107 46 107 06 106 25 i°5 44 105 01 i°4 17 40 50 108 50 108 16 107 41 107 07 106 30 i°5 53 105 14 104 35 103 55 i°3 13 102 31 101 47 50 4 00 106 22 105 48 105 13 104 38 104 02 103 25 102 47 , 102 08 101 27 100 46 100 04 99 21 4 00 lO 103 55 103 21 102 46 102 11 101 36 100 58 100 20 99 4i 99 02 98 21 97 4° 96 57 10 20 101 31 100 57 100 22 99 48 99 " 98 35 97 57 97 19 96 39 95 59 95 18 94 3| 20 30 99 08 98 36 98 01 97 26 96 50 96 13 95 37 94 58 94 20 93 40 93 00 92 18 30 40 50 40 96 49 96 16 95 4i 95 07 94 32 93 56 93 19 92 41 92 02 91 23 89 08 9° 43 88 28 90 02 50 94 3° 93 57 93 22 92 49 92 15 91 38 91 02 9025 89 47 87 48 5 OO 92 13 91 40 91 07 9° 33 89 58 89 23 88 47 88 10 87 33 8654 86 16 l 53 ^ 5 OO 10 10 89 58 89 25 8851 88 19 87 45 8709 8634 85 58 85 21 84 43 8405 83 26 20 87 44 87 n 8638 86 06 85 32 84 57 84 23 § 34 Z 83 11 82 33 81 5° 81 18 20 30 85 30 84 58 84 26 83 54 83 21 82 47 82 12 81 36 81 02 80 25 79 48 79 11 30 40 81 08 82 46 82 14 81 43 81 10 80 36 80 03 79 28 78 53 78 17 77 42 77 04 40 50 80 36 80 05 79 34 79 02 78 28 77 55 77 21 76 47 76 12 75 3° 75 00 50 6 OO 78 57 78 27 77 55 77 25 76 53 76 21 75 48 75 15 74 4° 74 06 73 32 72 5° 6 00 10 20 30 10 7648 76 17 75 47 75 17 74 45 74 13 73 42 73 08 72 35 72 01 71 28 70 53 20 74 39 74 °9 73 39 73 1° 72 39 72 07 71 36 7i 04 70 32 6959 69 26 68 52 30 72 30 72 01 7i 31 71 02 7° 33 70 02 69 31 6859 68 28 67 56 67 23 66 50 40 70 22 69 54 69 24 68 56 68 26 6756 67 26 66 56 66 24 °5 53 65 21 64 50 40 50 68 14 67 46 67 18 66 49 66 21 65 51 65 22 64 53 64 22 63 51 63 20 62 49 50 7 OO 66 07 6 5 39 65 11 64 44 64 16 63 47 63 18 62 49 62 19 61 50 61 20 60 49 7 OO 10 °3 58 63 3- 63 °5 62 38 62 II 61 42 61 15 60 46 60 17 59 48 59 18 58 49 10 20 61 51 61 25 60 58 60 32 60 05 59 38 59 11 58 43 58 15 57 47 57 19 56 49 20 30 40 50 30 59 44 59 18 58 52 58 27 58 01 57 34 57 08 .56 40 56 13 55 46 55 18 54 5° 40 57 36 57 " 56 46 56 21 55 5° 55 3° 55 °4 54 38 54 09 53 45 53 18 52 51 50 55 29 55 °4 54 40 54 16 53 51 53 26 53 01 52 $6 52 10 51 44 51 18 5° 52 8 OO 53 2 ° 52 5 6 52 33 52 10 51 45 51 21 5° 57 50 32 50 08 49 42 49 17 4852 8 OO 10 20 30 40 50 10 51 11 5° 49 50 27 50 04 49 41 49 17 48 54 48 29 48 06 47 42 47 17 46 53 20 49 °3 48 42 48 19 47 58 47 34 47 12 46 50 46 27 46 03 45 40 45 17 44 53 30 46 54 46 33 46 11 45 51 45 28 45 °6 44 45 44 23 44 01 43 39 43 16 42 54 40 44 44 44 24 44 03 43 43 43 22 43 02 42 41 42 19 41 58 41 37 41 16 4° 54 50 42 34 42 15 41 55 41 3° 41 17 40 56 40 36 40 16 39 55 39 35 39 14 38 54 9 OO 4° 24 40 05 39 4° 39 28 39 °8 38 49 38 3° 38 12 37 52 37 32 37 12 3° 52 '■> 00 10 38 13 37 55 37 38 37 20 37 02 3° 43 3° 25 36 07 35 48 35 3° 35 10 34 52 10 20 30 40 50 20 36 02 35 45 35 28 35 " 34 54 34 36 34 19 34 02 33 45 33 27 33 °9 32 51 30 33 5° 33 34 33 18 33 °2 32 45 32 29 32 13 31 56 31 40 31 24 31 °7 30 5° 28 48 40 31 38 31 22 3 1 °7 3° 52 30 37 30 21 30 06 29 51 29 35 29 20 29 03 50 29 24 29 10 28 55 28 42 28 28 28 13 27 59 27 45 27 30 27 16 27 01 26 47 10 00 27 11 26 58 26 45 26 32 26 19 26 05 25 52 25 39 25 25 25 n 24 58 24 44 10 00 10 20 10 24 57 24 45 24 33 24 21 24 09 23 56 23 44 23 31 23 19 23 06 22 54 22 41 20 22 42 20 28 22 31 22 21 22 10 21 58 21 47 21 36 21 24 21 13 21 01 20 50 20 39 30 20 18 20 08 19 58 19 48 19 37 19 27 19 17 19 07 18 56 18 46 18 36 30 40 18 13 18 03 17 54 17 46 17 36 17 27 17 18 17 09 17 00 16 51 16 42 16 32 40 50 50 15 57 15 49 15 41 15 33 15 25 15 18 15 °9 15 01 14 54 14 45 14 38 14 29 11 00 13 41 13 34 13 27 13 21 13 13 13 06 13 °° 12 53 12 46 12 39 12 32 12 25 11 00 lO 10 11 25 9 08 6 51 4 34 2 17 00 II 19 9 °4 6 47 11 13 II 07 11 01 10 56 10 50 10 44 10 39 10 33 10 27 10 21 20 8 58 8 54 8 50 8 45 8 41 8 36 831 8 26 8 22 8 17 20 30 40 50 12 00 30 6 44 6 41 6 37 6 33 631 6 27 6 24 6 20 6 17 6 13 40 50 2 16 4 29 2 15 4 27 2 14 4 25 2 12 4 23 2 12 4 20 2 10 4 18 2 10 4 16 2 08 4 14 2 06 4 11 2 06 4 09 2 04 12 00 00 00 00 00 00 00 00 00 00 00 00 t„ TVnrrh latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when tfe start sett^o?Ves? of the meridfan, the tabulated azimuths are reckoned from North to West. t„ Snntli lsititmlr- wlien the star is risineor East of the meridian, the tabulated azimuths are reckoned from South to East; and wta£ "tosfar t setting or West of the merifian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true beanng. 262 AZIMUTH OR TRUE BEARING. LATITUDE 64°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 64°. Hour Angle. 36° 37° SB 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / 1 / / / / / . / / / / li. in. 00 iSo oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 io 175 42 175 37 175 30 175 25 175 18 175 10 175 °3 174 55 174 45 174 35 174 23 174 11 10 20 171 25 171 14 171 02 170 51 170 37 170 23 170 08 169 50 169 33 169 12 168 50 168 25 20 30 167 09 166 54 166 37 166 20 166 00 I°5 39 165 16 164 51 164 25 163 55 163 22 162 46 30 40 162 58 162 37 162 15 161 52 161 27 161 00 160 30 159 58 159 23 158 45 158 04 157 18 40 50 I58 5<= 158 25 157 58 157 30 156 59 156 27 155 51 155 13 154 32 153 45 152 55 152 01 50 1 00 154 47 154 18 153 47 153 15 152' 39 152 01 151 20 150 36 149 49 148 57 148 00 146 58 OO 10 150 49 150 17 149 42 149 05 148 26 147 44 14658 146 09 145 17 144 20 143 17 142 09 10 20 14658 146 22 145 45 145 04 144 21 143 35 142 45 141 53 140 56 139 54 138 48 137 35 20 30 143 12 142 34 141 53 141 10 140. 24 139 35 138 42 137 46 136 46 135 4° 134 31 133,16 129* 1 1 30 40 139 34 138 53 138 09 137 24 136 35 135 43 134 49 133 50 132 48 131 40 130 28 40 50 136 02 135 20 134 33 133 46 132 5° 132 02 131 04 130 04 129 00 127 51 126 38 125 20 50 2 OO 132 36 131 52 131 04 130 l6 129 23 128 28 127 30 126 28 125 23 124 13 122 58 121 39 2 OO 10 129 17 128 32 127 43 126 53 125 59 125 03 124 04 123 01 121 55 120 45 "9 3i 118 11 10 20 126 04 125 17 124 28 123 37 122 43 121 47 120 46 "9 44 "8 37 "7 27 116 13 "4 54 20 30 122 57 122 09 121 20 120 28 119 34 118 37 117 37 "6 33 US 27 "4 17 113 04 I" 45 30 40 "9 55 119 07 118 18 117 25 116 31 "5 34 114 33 "3 31 112 25 III 16 no 02 108 46 40 50 117 00 116 12 115 21 114 29 "3 35 112 38 III 38 no 36 109 31 108 22 107 10 i°5 55 50 3 00 114 09 113 21 112 31 III 39 no 45 109 48 T08 49 107 47 106 43 105 34 104 24 103 10 3 OO 10 in 22'. "o 35 109 45 108 53 107 59 107 03 106 04 105 04 104 01 102 53 101 44 .100 32 10 20 108 41 ■ 107 53 107 04 106 12 105 20 104 24 103 26 102 26 101 23 100 18 99 1° 98 00 20 30 106 04 W5 17 104 28 103 37 102 44 101 50 100 52 99 54 98 53 97 48 96 41 95 33 30 40 I°3 31 102 44 101 55 101 05 100 14 99 20 98 23 97 26 96 26 95 23 94 18 93 1° 40 50 101 02 100 15 99 27 98 38 97 46 96 53 95 58 95 °2 94 "2 93 01 91 58 90 52 50 4 00 98 36 97 50 97 °3 96 14 95 24 94 31 93 36 92 41 91 44 90 44 89 42 i 3 ? 4 00 10 96 12 95 27 94 40 93 53 93 °3 92 n 91 18 90 24 89 28 88 30 87 29 86 26 IO 20 93 52 93 08 92 22 91 34 QO 46 89 56 89 03 88 10 87 15 86 18 85 19 84 19 20 30 9« 34 9° 51 38 36 90 06 89 19 88 31 87 42 8651 85 59 85 °5 84 09 83 12 82 13 30 40 89 20 87 52 87 07 86 20 85 31 84. 42 ,83 51 82 59 82 03 81 08 80 11 40 50 87 06 86 24 85 40 S4 56 84 10 83 22 82 34 81 45 80 54 80 00 79 °6 78 11 50 5 00 84 55 .84 14 83 31 8247 82 02 81 16 80 29 79 4° 78 5° 77 58 77 t>5 '76 n 5 OO 10 82 45 82 04 81 22 80 40 79 5° 79 11 78 24 77 37 76 49 75 58 75 07 74 15 10 20 80 38 79 58 79 1° 73 35 ■77 53 77 °9 76 23 75 37 74 49 74 01 73 1° 72 19 20 30 7832 77 53 77 12 76 31 75 5° 75 °6 74 22 73 37 72 51 72 03 71 14 70 24 30 40 76 27 75 48 75 08 74 29 73 48 73 °5 72 23 71 39 7° 54 70 08 69 20 68 32 40 50 74 23 73 46 73 07 72 28 71 48 71 08 70 25 69 42 68 58 68 13 67 27 66 40 50 6 OO 72 19 71 43 71 05 70 27 68 28 69 49 69 08 68 27 67 46 67 04 66 20 65 35 64 50 6 00 10 70 18 69 41 69 05 67 5° 67 n 66 31 65 51 65 °9 64 26 63 43 62 59 10 20 68 17 67 42 67 06 6631 65 53 65 15 64 36 63 57 63 17 62 35 61 53 61 10 20 30 66 16 65 42 65 07 64 32 63 56 63 19 62 41 62 03 61 24 60 44 60 03 59 21 30 40 64 16 °3 43 63 09 62 35 61 59 61 23 60 47 60 10 59 31 58 52 58 13 57 33 40 50 62 17 61 44 61 11 60 38 60 04 59 29 58 54 58 17 57 40 57 °3 56 24 55 45 50 7 00 60 18 59 46 59 14 58 41 58 09 57 35 57 01 56 25 55 49 55 13 54 35 53 57 7 OO 10 58 19 57 47 57 16 5° 45 56 12 55 4° 55 06 54 32 53 58 53 23 52 46 52 11 10 20 56 20 55 50 55 20 54 49 54 18 53 4° 53 14 52 41 52 07 51 33' 5° 59 50 23 20 30 54 21 53 53 53 23 52 54 52 23 51 53 51 22 50 50 5° 17 49 44 49 II 48 37 30 40 52 23 51 55 5i 27 5058 50 29 49 59 49 29 48 59 48 28 47 56 47 23 46 50 40 50 ■50 25 49 57 49 3° 49 03 48 35 48 06 47 36 47 °7 46 37 46 06 45 35 45 °4 50 8 00 48 25 48 00 47 34 47 07 46 40 46 12 45 44 45 16 44 47 44 17 43 47 43 17 8 00 10 46 28 46 02 45 37 45 12 44 45 44 18 43 52 43 24 42 56 42 29 42 00 41 31 IO 20 44 29 44 05 43 40 43 16 42 5° 42 26 41 59 41 33 41 07 4° 39 40 12 39 44 20 30 42 30 42 07 41 44 41 20 40 56 40 31 40 06 39 4i 39 16 38 5° 36 36 37 57 30 40 40 31 40 09 39 47 39 25 39 01 38 37 38 13 37 5° 37 26 37 01 36 10 40 50 38 32 38 io 37 49 37 28 37 °° 36 43 36 21 35 59 35 35 35 12 34 48 34 23 50 9 00 36 33 36 13 35 52 35 32 35 " 34 5° 34 28 34 =6 33 44 33 22 32 59 32 36 9 00 10 34 33 34 13 33 55 33 35 33 15 32 55 32 35 32 14 31 53 31 31 31 10 3° 49 10 20 32 33 32 15 31 57 31 39 31 20 31 00 3° 41 30 22 30 02 29 42 29 22 29 02 20 30 3° 33 30 16 29 58 29 41 29 23 29 06 28 48 28 29 28 11 27 52 27 32 27 14 30 40 28 32 28 16 28 00 27 43 27 27 27 II 26 54 26 36 26 19 26 01 25 44 25 25 40 50 26 32 26 16 26 01 25 46 25 3° 25 15 25 00 24 43 24 27 24 n 23 55 23 38 50 10 00 24 31 24 17 24 02 23 48 23 34 23 2° 23 05 22 51 22 36 22 20 22 05 21 50 10 00 10 22 29 22 16 22 03 21 51 21 37 21 24 21 10 20 57 2° 43 20 30 20 15 20 01 10 20 20 27 20 16 20 04 19 52 19 40 19 28 19 16 19 03 18 51 1838 18 26 18 13 20 30 18 25 18 15 18 04 17 53 17 43 17 32 17 22 17 10 16 59 16 47 16 35 16 24 30 40 16 23 16 14 16 04 15 54 15 45 15 35 15 26 15 15 15 06 14 55 14 45 14 35 40 50 14 21 14 13 14 04 13 56 13 48 13 39 13 31 13 22 13 13 13 04 12 55 12 46 50 11 00 12 18 12 11 12 04 " 57 11 5° II 42 11 35 11 28 n 20 11 13 11 04 10 57 11 00 10 10 16 10 09 10 04 9 58 9 52 9 45 9 39 9 33 9 27 9 20 9 14 9 °7 10 20 8 12 8 07 8 03 7 58 7 54 7 49 7 43 7 39 7 34 7 28 7 23 7 18 20 30 6 10 6 06 6 03 5 58 5 55 5 52 5 47 5 44 5 41 5 36 5 32 5 29 30 40 4 07 4 04 4 02 3 59 3 57 3 54 3 52 3 49 3 47 3 45 3 42 3 39 40 50 2 03 2 03 2 01 2 00 1 58 1 58 1 56 1 55 I 53 1 52 1 50 1 50 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Smith latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 263 AZIMUTH OR TRUE BEARING. LATITUDE 64°. DECLINATION —SAME NAME AS— LATITUDE LATITUDE 64°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. o m. OO 10 20 30 40 50 o / 180 oo '73 5° i°7 57 162 07 156 27 a / 180 00 1 180 00 / 180 00 i r 180 00 / 180 00 t 180 00 / 180 00 / 180 00 t 180 00 / 180 00 / 180 00 Ii. 111. 00 173 41 167 26 161 22 173 23 166 51 160 31 173 °i 166 n 159 32 172 37 165 23 158 25 172 09 164 29 157 °7 171 34 163 23 155 36 170 53 162 04 153 47 170 02 160 27 151 35 168 56 158 29 148 52 167 28 155 51 145 27 165 28 152 19 141 04 IO 20 30 155 29 154 25 148 38 153 12 151 49 15° 13 148 22 146 10 143 33 140 25 136 35 131 51 40 151 01 149 53 147 13 145 37 143 48 141 42 139 17 136 26 133 06 129 06 124 21 50 1 OO IO 20 30 40 50 145 51 144 35 143 n 141 37 139 53 137 54 135 39 133 °6 130 09 126 44 122 46 118 n 1 00 14° 55 136' 17 J39 33 138 04 133 18 136 24 134 33 132 29 130 10 127 32 124 34 121 12 117 22 112 59 10 134 52 130 26 131 34 "9 39 127 33 125 12 122 34 "9 39 116 26 112 42 108 35 20 131 55 128 50 127 04 125 07 123 01 120 40 118 06 H5 15 112 06 108 36 i°4 45 30 127 47 126 17 124 39 122 54 120 57 118 51 "6 33 114 02 III 17 108 16 l°4 59 io'i 22 40 123 54 122 23 120 46 119 00 117 05 115 02 112 46 no 21 107 41 104 49 101 42 98 20 50 ■2 OO 10 20 30 40 50 120 14 116 47 118 44 117 07 115 22 113 29 no 08 in 28 109 17 106 56 104 24 101 41 98 44 95 34 2 00 "5 17 113 41 III 58 108 10 106 03 103 48 101 23 98 47 96 00 93 02 10 113 3° 112 01 108 56 no 27 108 46 106 59 i°5 °5 103 °3 100 53 98 34 96 06 93 28 90 40 20 no 23 107 24 105 46 104 00 102 10 100 13 98 08 95 55 93 35 91 °5 88 26 30 107 25 106 00 104 29 102 54 101 12 99 26 97 32 95 32 93 26 91 12 88 50 86 21 40 104 30 103 07 101 39 100 09 98 33 96 50 95 °i 93 °7 91 05 88 57 8643 84 21 50 3 OO 10 20 30 40 50 i°i 53 100 31 99 06 97 36 96 01 94 21 92 37 90 46 88 50 86 49 84 40 82 26 3 OO 99 '7 9° 45 97 5° 96 33 95 °6 93 35 91 59 90 17 88 32 86 40 84 44 82 42 80 34 10 95 29 94 08 92 43 11 I3 89 41 88 03 86 23 84 37 82 45 80 49 78 47 20 94 21 93 °5 91 47 90 25 8859 87 30 85 56 84 19 82 37 8051 78 59 77 °3 30 92 00 91 47 89 31 88 12 86 49 85 23 83 53 82 19 80 41 78 59 77 12 75 22 40 89 44 88 33 87 19 86 03 84 42 83 19 81 53 80 22 78 48 77 1° 75 28 73 42 50 4 00 10 20 30 40 50 87 31 86 23 85 11 83 57 o 23 2 81 19 79 55 78 28 7658 75 24 73 47 72 05 4 OO 85 22 84 15 83 05 81 54 80 38 79 21 78 01 76 37 75 1° 73 4° 72 06 70 28 10 83 1° 82 n 81 03 79 54 78 41 77 27 76 09 74 48 73 24 7i 58 70 27 68 54 20 81 13 80 09 79 °4 77 56 7647 75 34 74 19 73 °i 7i 41 70 17 68 51 67 20 30 79 " 78 II 77 °7 76 02 74 54 73 44 72 31 71 16 6958 68 39 67 15 6548 40 77 13 76 14 75 " 74 °8 73 °2 7i 55 7° 45 69 33 68 17 67 01 65 40 64 17 50 5 00 IO 75 15 74 18 73 18 72 16 7i 13 70 08 69 00 67 5° 66 38 65 24 64 06 62 47 5 OO 73 20 "2 24 71 26 70 27 69 25 68 21 67 16 66 09 65 00 63 48 62 34, 61 17 IO 20 71 26 70 31 69 36 6839 67 39 66 37 65 34 64 29 63 22 62 13 61 01 59 47 20 30 °9 34 68 40 67 47 66 51 65 54 64 54 63 52 62 51 61 45 60 39 59 29 58 18 30 40 67 42 66 51 65 58 65 °4 04 09 63 11 62 12 61 11 60 09 59 °4 57 58 56 5° 40 SO °5 52 65 "3 64 n 63 20 62 26 61 30 60 33 59 34 58 34 57 32 56 28 55 21 50 6 OO 64 03 63 14 62 25 61 35 60 42 5 § 4 § 58 53 57 57 56 59 55 59 54 57 53 53 6 00 10 62 14 61 27 60 39 5 ?, 5 S 58 59 58 08 57 15 56 20 55 24 54 26 53 27 52 25 IO 20 60 26 59 4i 58 55 58 08 57 19 56 28 55 37 54 45 53 5° 52 54 51 57 5° 57 20 30 58 39 57 55 57 10 56 24 55 37 54 48 53 59 53 °8 52 15 51 22 50 26 49 3° 30 40 5° 52 56 09 55 26 54 42 53 56 53 °9 52 21 51 32 5° 42 49 5° 48 57 48 02 40 50 55 °° 54 25 53 43 53 0° 52 16 51 31 50 44 49 57 49 08 48 19 47 27 46 35 50 7 00 53 2° 52 4° 52 00 51 18 5° 35 49 52 49 °7 48 22 47 35 46 47 45 57 45 °7 7 OO 10 51 34 5° 55 50 16 49 36 48 55 48 14 47 3° 46 47 46 01 45 15 44 28 43 39 10 20 49 47 49 " 48 33 47 55 .47 15 46 35 45 53 45 12 44 28 43 44 42 57 42 11 20 30 48 03 47 27 46 50 46 14 45 35 44 56 44 I? 43 37 42 55 42 12 41 29 4° 43 30 40 46 17 45 43 45 08 44 32 43 56 43 18 42 4° 42 01 41 21 40 40 39 58 39 15 40 50 44 31 43 59 43 25 42 51 42 16 4i 4° 41 03 40 26 39 47 39 °8 3828 37 47 50 8 00 42 4° 42 14 41 43 41 09 40 36 40 02 . 39 2 6 3851 38 13 37 36 3658 36 18 8 00 10 41 01 40 31 40 00 39 29 3856 38 23 37 49 37 16 36 4° 36 05 35 27 34 49 10 20 39 1° 38 46 38 17 37 47 37 16 36 44 36 12 35 40 35 06 34 32 33 57 33 20 20 30 37 3° 37 °2 36 34 36 05 35 36 35 06 34 35 34 °5 33 32 33 °° 32 26 31 52 30 40 35 44 35 19 34 51 34 24 33 55 33 27 32 58 32 28 31 58 31 26 3° 55 30 22 40 SO 33 59 33 33 33 °8 32 42 32 16 31 48 31 21 3° 52 30 24 29 54 29 23 28 52 50 9 OO 32 12 31 49 31 25 - 31 00 30 34 30 09 '29 43 29 16 28 48 28 20 27 53 27 23 9 00 10 30 27 30 04 29 41 29 18 2854 28 30 28 05 27 40 27 14 26 48 26 21 25 53 IO 20 28 41 28 19 27 57 27 36 27 13 26 50 26 27 26 03 25 39 25 14 24 49 '4 23 20 30 2° 54 26 34 26 14 25 53 25 32 25 11 24 48 24 27 24 05 23 44 23 17 22 53 30 40 25 °7 24 49 24 3° 24 II 23 51 23 31 23 10 22 51 22 29 22 07 21 45 21 22 40 50 23 21 23 °4 22 46 22 28 22 09 21 51 21 32 21 13 20 54 20 33 20 12 19 52 50 io OO 21 34 21 18 21 02 20 45 20 29 20 11 19 54 19 36 19 17 18 59 18 40 18 21 10 00 IO 19 47 19 32 19 17 19 02 1847 18 30 18 14 17 59 17 41 17 24 17 08 16 50 10 20 18 00 17 46 17 32 17 18 17 °4 16 51 16 36 16 21 16 06 15 51 15 34 ■5 19 20 30 16 12 16 00 15 48 15 35 15 23 15 °9 14 57 14 44 14 29 14 16 14 02 13 47 30 40 14 25 14 13 14 °3 13 52 13 41 13 29 13 18 13 06 12 54 12 41 12 28 12 15 40 SO 12 37 12 27 12 18 12 08 11 58 11 48 11 38 11 28 II 17 11 07 10 55 10 44 50 11 00 ro 49 10 41 10 32 10 24 10 16 10 07 9 58 9 5° 9 4° 9 3i 9 22 9 13 11 00 10 9 01 854 8 47 8 40 6S6 8 33 8 26 8 19 8 11 8 04 7 57 7 49 7 4° 10 20 7 13 7 °7 7 02 6 51 6 45 6 39 6 34 6 27 6 21 6 15 6 09 20 30 5 25 5 20 5 16 5 13 5 °9 5 °4 4 59 4 55 4 5° 4 46 4 41 4 37 30 40 3 3° 3 33 3 3i 3 29 3 26 3 23 3 19 3 17 3 14 3 11 3 °7 3 °5 40 50 1 49 1 47 1 46 1 44 1 43 1 42 1 40 1 39 I 36 1 35 I 34 1 32 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East* and when the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 264 AZIMUTH OR TRUE BEARING. LATITUDE 64°. DECLINATION— SAME NAME AS- LATITUDE. LATITUDE 64°. Hour An gle. 60° 61° 63° 63° 64° 65° 66° 67°| 68° 69° 70° Hour Angle. li. Hi. o / / / / / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 00 00 00 00 00 00 00 10 162 32 157 51 149 18 130 45 88 52 45 59 62 51 26 43 17 5° 13 °7 10 08 8 06 10 30 147 21 140 11 129 08 I" 54 87 45 44 19 32 23 24 41 19 27 15 45 20 30 135 17 127 32 117 03 103 16 86 38 69 26 54 23 42 40 33 51 27 29 22 37 30 40 125 56 118 30 109 15 98 07 85 3° 72 27 60 12 49 39 41 00 34 03 28 33 40 50 118 38 in 49 l°3 47 94 32 84 23 73 52 63 4° 54 21 46 06 39 18 33 30 50 1 00 112 49 106 38 99 36 91 44 83 15 74 28 °5 47 57 33 50 02 43 23 37 35 1 OO io 108 02 102 26 9° 13 89 23 82 07 74 35 67 02 59 44 52 51 4° 34 4° 54 IO 20 104 01 98 56 93 22 87 22 81 00 74 24 67 44 61 11 54 54 48 59 43 33 20 30 100 31 95 54 22 53 85 31 79 52 74 0° 68 03 62 08 56 22 50 51 45 40 30 40 97 =7 93 13 88 39 83 49 78 44 73 28 68 05 62 41 57 24 52 14 47 IS 40 50 94 42 90 48 86 38 82 13 77 3° 72 49 °7 55 °2 59 5805 53 16 48 36 50 3 00 92 11 IS 35 84 44 80 41 76 27 72 04 67 35 63 °3 58 29 53 59 49 35 2 00 IO 89 52 86 30 82 55 79 13 75 19 71 17 67 08 62 56 5841 54 27 5° 17 10 20 87 42 84 34 81 is 77 48 74 " 70 26 66 35 62 40 58 42 54 44 50 47 20 30 85 39 82 43 79 3» 76 24 73 °2 69 33 6558 62 iS 58 35 54 5° 51 06 30 40 83 43 8057 78 04 75 02 71 53 68 38 65 16 61 50 58 20 54 47 51 16 40 50 81 51 79 1° 76 32 73 42 70 44 67 41 64 31 61 18 57 59 54 38 51 17 50 3 OO 80 04 77 37 75 02 72 22 69 35 66 42 63 43 60 41 57 34 54 23 51 12 3 OO IO 78 20 76 01 73 35 7i 03 68 25 65 42 62 53 60 00 57 °3 54 °2 51 °° 10 20 76 40 74 27 72 09 69 45 67 15 64 41 62 01 59 17 5° 29 53 38 5° 44 20 30 75 01 72 55 70 43 68 27 66 06 63 39 61 08 58 32 55 52 53 09 50 22 30 40 73 26 71 26 69 20 67 10 64 55 62 36 60 12 57 44 55 12 52 35 49 57 40 50 7i 51 69 57 67 57 65 54 °3 45 61 32 59 15 5° 54 54 29 51 59 49 28 50 4 00 * 70 19 68 30 66 35 64 37 62 34 60 28 58 16 56 03 53 44 51 21 48 56 4 00 10 6847 67 02 65 13 63 21 61 23 59 22 57 17 55 09 52 56 50 40 48 20 10 20 5? *I 65 36 63 52 62 04 60 12 58 17 5° 1° 54 14 52 07 49 56 47 42 20 30 6548 64 11 62 32 60 48 59 01 57 1° 55 16 53 18 51 16 49 11 47 03 30 40 64 20 62 47 61 II 59 32 57 49 56 02 54 13 52 21 50 24 48 23 46 21 40 50 62 51 61 23 59 5" 58 16 5° 37 54 55 53 10 51 22 49 29 47 35 45 37 50 5 00 61 24 59 59 5830 5658 55 24 53 47 52 06 50 22 48 34 47 38 4° 43 44 5° 5 OO 10 59 57 58 35 57 10 55 43 54 12 . 52 38 51 01 49 21 45 5i 44 °3 10 20 58 31 57 12 55 50 54 26 52 59 51 29 49 55 48 20 46 41 44 58 43 14 20 30 57 t>5 55 49 54 30 53 09 51 45 50 19 48 49 47 17 45 42 44 °3 42 23 30 40 55 38 54 25 53 10 51 52 5° 31 49 08 47 42 46 14 44 42 43 08 41 31 40 50 54 13 53 03 51 50 5° 35 49 17 47 57 4° 35 45 10 43 42 42 11 40 38 50 6 00 52 47 51 40 50 29 49 17 48 03 46 46 45 26 44 05 42 40 41 12 3 I 43 , 6 00 10 51 22 50 16 49 °9 48 00 46 48 45 34 44 17 43 °o 41 37 40 13 3848 ''?P 10 20 49 57 48 54 47 49 46 43 45 33 44 22 43 09 41 53 40 34 39 14 37 51 A', 20 30 4831 47 31 46 29 45 24 44 18 43 1° 41 59 40 46 39 3i 3» 13 36 53 30 40 47 05 46 07 45 07 44 05 43 02 41 56 40 48 39 38 38 26 37 11 35 55 40 50 45 40 44 44 43 46 42 47 41 46 4" 43 39 37 38 30 37 21 36 09 34 5° 50 7 00 44 15 43 21 42 25 41 29 40 08 40 29 39 29 38 26 37 22 36 15 35 08 35 06 33 55 7 00 10 42 48 4i 57 41 03 39 12 38 14 37 14 36 12 34 °2 32 55 10 20 41 23 40 33 39 42 38 49 37 55 3° 59 36 02 35 °2 34 01 32 57 31 52 20 30 39 57 39 °9 38 20 37 30 36 38 35 44 34 49 33 52 32 53 31 52 3° 5° 30 40 38 31 37 45 36 57 36 10 35 20 34 29 33 35 32 41 31 44 3° 47 29 47 40 50 37 04 36 21 35 35 34 49 34 01 33 13 32 22 31 3<> 3° 3° 29 40 28 43 50 8 00 35 37 34 5° 34 12 33 28 32 43 31 5° 31 °7 30 17 29 26 28 33 27 40 8 OO IO 34 10 33 31 32 50 32 08 31 24 30 40 29 53 29 05 28 16 27 26 26 34 10 20 32 44 32 05 31 26 30 46 3° 05 29 22 2838 27 53 27 07 26 18 25 29 20 30 31 16 30 40 30 02 29 24 2845 28 05 27 23 26 40 25 56 25 10 24 23 30 40 29 49 29 15 28 39 28 02 27 25 26 47 26 07 25 27 24 44 24 01 23 17 40 50 28 22 27 49 27 15 26 41 26 05 25 29 24 52 24 13 23 32 22 52 22 10 SO 9 00 26 53 26 23 25 51 25 18 24 44 24 10 23 34 22 58 22 21 21 41 21 01 9 00 10 25 24 24 56 24 25 23 55 23 24 22 51 22 18 21 44 21 08 20 32 19 54 IO 20 23 57 23 30 23 01 22 33 22 03 21 33 21 01 20 29 19 56 19 21 18 47 20 30 22 28 22 02 21 36 21 09 20 41 20 13 19 44 19 13 18 42 18 10 17 38 30 40 20 59 20 .35 20 11 I9 4S 19 20 18 53 18 26 17 58 17 29 1658 16 29 40 50 19 29 19 08 18 45 18 22 17 58 17 34 17 07 16 42 16 15 15 47 15 19 50 10 00 18 00 17 41 17 19 16 58 I636 16 13 15 50 15 26 15 01 14 35 14 10 10 00 10 16 32 16 13 15 53 15 33 15 14 14 53 14 31 14 10 13 47 13 24 13 °° 10 20 15 02 14 45 14 27 14 10 13 51 13 32 13 13 12 53 12 33 12 12 11 5° 20 30 13 32 13 17 13 01 12 46 12 29 12 12 11 55 11 37 11 18 1° 59 10 39 30 40 12 02 11 48 11 34 11 21 II 06 10 51 10 35 10 20 10 03 9 46 9 29 40 50 10 32 10 21 10 08 9 56 9 43 9 3° 9 16 9 °3 8 4 § 8 33 8 18 50 11 00 9 °3 852 8 41 831 8 20 8 09 7 57 ? 4 § 7 33 7 21 7 °7 11 OO 10 7 32 7 23 7 15 7,06 6 57 6 47 6 37 6 28 6 18 6 07 5 57 IO 20 6 01 5 55 5 49 5 4'l 5 34 526 5 19 5 11 5 °2 4 54 4 46 20 30 4 32 4 27 4 21 4 15 4 10 4 04 3 59 3 53 3 47 3 4° 3 34 30 40 3 01 258 2 54 2 51 2 47 2 43 2 39 2 35 2 31 2 26 2 23 40 50 1 31 1 29 1 27 1 26 1 24 1 21 1 20 1 17 1 16 1 14 I 11 50 13 00 00 00 00 00 00 00 00 00 00 00 00 12 00 1 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables ararto be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 265 AZIMUTH. OR TRUE BEARING. LATITUDE 65°. DECLINATION— 3AME NAME AS— LATITUDE. LATITUDE 65°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / / / / / / / I / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 IO 176 31 176 29 172 58 176 26 176 23 176 20 176 17 176 14 176 10 176 06 176 03 175 59 175 55 10 20 173 03 172 52 172 47 172 40 172 35 172 28 172 21 172 14 17*2 06 171 59 '71 5° 20 30 169 36 169 28 169 20 169 11 169 03 168 53 168 43 164 48 168 22 168 11 167 59 167 46 30 40 160 09 165 59 165 48 165 37 165 25 165 13 165 01 164 33 164 18 164 03 163 46 40 50 162 45 162 32 162 19 162 05 161 51 161 36 161 20 161 04 160 47 160 28 160 10 159 49 50 1 00 159 22 159 08 158 52 158 36 158 19 158 01 157 42 157 24 157 03 156 42 156 20 155 56 1 OO 10 156 02 155 45 155 27 155 08 154 49 154 29 154 °8 153 47 153 24 152 59 152 34 152 08 10 20 152 44 152 25 152 05 151 45 151 23 151 01 150 37 15°, 13 149 47 149 21 148 53 148 23 20 30 149 29 149 08 148 47 148 24 148 01 147 36 147 10 146 44 146 16 145 47 145 17 144 45 30 10 146 17 145 55 145 31 145 07 144 41 144 15 143 47 143 19 142 49 142 18 141 46 141 12 40 50 50 143 08 142 44 142 19 141 53 141 27 140 59 140 29 139 59 139 28 138 54 138 20 137 44 2 00 140 03 139 37 139 I0 138 43 138 IS 135 08 137 45 137 15 136 43 136 10 135 35 135 00 "34 21 2 00 10 137 00 136 34 136 06 135 37 134 37 134 05 133 32 132 57 132 21 131 44 131 °5 IO 20 20 134 00 133 33 133 05 132 35 132 04 13 1 32 130 59 130 25 129 49 129 13 128 35 127 54 124 48 30 131 06 130 36 130 07 129 36 129 04 128 32 127 58 127 22 126 46 126 08 125 29 30 40 128 13 127 43 127 12 126 41 126 09 125 35 125 00 124 24 123 47 123 09 122 28 121 47 40 50 50 125 23 124 53 124 22 123 50 123 17 122 43 122 07 121 31 120 53 120 14 119 34 118 51 3 OO 122 38 122 07 121 35 121 03 120 29 119 54 119 18 118 41 118 03 117 24 116 43 116 01 3 OO IO "9 54 119 23 118 51 118 18 117 44 117 08 116 32 "5 55 115 16 114 36 113 56 113 12 10 20 «7 15 116 43 116 10 "5 36 115 02 114 27 "3 50 113 13 112 34 I" 54 in 14 no 30 20 30 "4 37 114 05 "3 32 112 58 112 24 ill 49 in 12 no 34 109 55 109 16 108 35 107 52 30 40 112 03 ill 30 no 57 no 23 109 49 109 13 108 37 107 58 107 20 106 40 106 00 105 17 40 50 109 31 108 58 108 25 107 51 107 16 106 41 106 04 105 26 104 48 104 09 103 28 102 45 50 4 00 107 01 106 29 105 56 105 22 104 48 104 12 I°3 35 102 57 102 18 101 40 101 00 100 18 4 00 10 104 33 102 08 104 00 103 27 102 53 102 19 101 44 101 07 100 30 99 5? 99 13 98 33 97 52 IO 20 101 36 101 03 100 29 99 54 99 19 98 43 98 07 97 28 96 49 96 10 95 28 20 30 40 30 99 45 99 12 98 40 98 06 97 32 96 56 96 21 95 44 95 °6 94 29 93 50 93 09 40 97 24 96 51 96 18 95 46 95 12 94 37 94 °i 93 25 92 47 92 10 91 32 9° 5i 50 95 04 94 32 93 59 93 26 92 53 92 18 91 43 91 08 90 30 89 53 89 15 88 35 50 5 OO 92 45 92 14 91 41 91 09 88 53 90 35' 88 19 90 01 89 26 88 50 88 14 87 38 87 00 86 21 5 OO IO 90 28 88 12 89 57 89 25 87 46 87 12 86 37 86 01 85 25 84 48 84 09 10 20 87 42 87 11 86 38 86 05 85 32 8458 84 24 8348 -83 13 82 36 81 59 20 30 8558 85 28 84 56 8425 83 53 83 19 82 46 82 12 81 38 81 03 80 27 79 5i 30 40 83 44 83 15 8243 82 12 81 40 81 09 8035 80 02 79 28 78 54 78 19 77 42 40 50 81 32 81 03 80 33 80 01 79 30 78 59 78 26 77 55 77 20 76 46 76 12 75 37 50 6 OO 79 20 78 5i 78 22 77 50 77 20 76 49 76 18 75 45 75 12 74 39 74 06 73 3i 6 OO 10 77 °9 76 41 76'H 75 4i 75 11 74 40 74 09 73 38 73 °5 72 32 72 00 71 26 10 20 75 °° 74 3 1 74 03 73 32 73 03 72 33 72 02 71 31 7059 70 29 69 56 69 22 20 30 72 50 72 21 71 53 71 24 70 55 70 25 69 55 69 25 6854 68 24 67 52 67 19 30 40 70 40 70 12 69 45 69 16 68 48 68 19 67 5° 67 20 66 50 66 19 65 49 65 17 40 50 68 31 68 04 67 37 67 09 66 41 66 13 65 44 65 14 64 45 64 16 63 46 63 14 50 7 00 66' 22 65 56 65 29 65 02 64 35 64 06 63 38 63 10 62 41 62 12 61 44 61 13 7 OO 10 64 13 63 47 63 21 62 55 62 27 62 01 61 33 61 06 60 38 60 09 59 41 59 12 IO 20 62 04 61 39 61 13 60 48 . 60 21 59 55 59 28 59 °2 58 34 5807 57 39 57 11 20 30 59 5 6 59 3 1 59 ° 6 58 41 58 15 57 50 57 24 56 57 56 31 56 05 55 39 55 1° 30 40 50 40 57 47 57 23 56 59 56 34 56 09 55 45 55 20 54 54 54 28 54 02 53 36 53 °9 50 55 38 55 15 54 51 54 27 54 °4 53 40 53 15 52 5° 52 25 52 00 51 35 51 °9 8 00 53 2 9 53 °6 52 43 52 20 51 57 51 34 51 10 5° 45 50 22 49 57 49 33 49 08 8 OO IO 51 20 50 58 5° 3 6 50 13 49 5i 49 28 49 °5 48 42 48 19 47 56 47 32 47 07 10 20 49 °9 48 49 48 27 48 06 47 44 47 22 47 00 46 38 46 16 45 53 45 31 45 °7 20 30 40 50 30 47 00 4 s 39 46 19 45 58 45 38 45 16 44 55 44 34 44 12 43 50 43 28 43 °6 40- 44 5° 44 3° 44 10 43 51 43 30 43 10 42 49 42 29 42 08 41 47 41 27 41 °5 50 42 39 42 20 42 01 41 42 41 23 41 04 40 44 40 24 40 04 39 44 39 25 39 °4 9 00 40 28 40 10 39 5i 39 33 39 15 38 57 3838 38 18 38 00 37 41 37 22 37 02 9 00 IO 38 16 37 59 37 41 37 25 37 07 36 50 36 31 36 14 35 56 35 38 35 20 35 01 IO 20 30 40 20 36 04 35 48 35 32 35 15 34 59 34 42 34 25 34 08 33 5i 33 34 33 17 32 59 30 33 5 2 33 37 33 21 33 °5 32 50 32 34 32 17 32 02 31 46 31 30 31 14 30 57 40 31 3? 29 20 31 24 31 °9 3° 55 30 40 30 26 30 10 29 56 29 41 29 26 29 II 28 55 50 29 12 2858 28 45 28 31 28 17 28 04 27 49 27 35 27 21 27 06 26 53 50 io OO 27 12 26 59 26 46 26 33 26 21 26 08 25 55 25 43 25 29 25 16 25 04 24 49 IO OO IO 24 57 24 4 6 24 34 24 22 24 10 23 59 23 47 23 35 23 22 23 10 22 59 22 47 10 30 22 43 20 28 22 32 22 22 22 II 22 00 21 49 21 38 21 27 21 17 21 05 20 55 20 43 20 30 20 18 20 09 19 59 19 49 19 39 19 30 19 19 19 °9 19 00 18 50 18 40 30 40 18 12 18 03 17 55' 17 46 17 37 17 29 17 20 17 n 17 02 16 53 16 45 16 36 40 50 15 56 15 49 15 42 15 34 15 27 15 18 15 11 15 03 14 55 14 47 14 39 14 32 50 11 00 13 41 13 34 13 27 13 21 13 14 13 08 13 °i 12 55 12 48 12 41 12 34 12 28 11 00 10 10 II 25 9 08 6 51 4 34 2 17 00 11 19 9 04 6 48 II 13 11 09 ir 02 10 56 10 51 10 45 10 40 10 34 10 29 10 23 20 8 59 8 55 8 51 8 46 8 41 8 36 8 32 S 27 8 24 8 19 20 30 6 44 641 6 38 6 34 631 6 27 6 24 6 21 ■6 18 6 14 30 40 50 4 32 2 16 4 29 2 15 4 27 2 14 4 25 2 13 4 23 2 11 4 21 2 10 4 19 2 09 4 16 2 08 4 14 2 07 2 06 4 09 2 05 40 50 13 00 00 00 00 00 00 00 00 00 00 00 00 12 OO t„ siirn, latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and ^^^^mg^^^m^i6».n7^ tabulated azimuths are reckoned from North to West. t„ Snntfc iititmle when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and wher *the star is lefting^ West ?of the meridian, the tabulated azimuths are reckoned from South to West. when the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement rf the tabulated azimuth is to be taken for the required true bearing. 266 AZIMUTH OR TRUE BEARING. 1 LATITUDE 6 5°. DECUNATION- SAME NAME AS— LATITUDE. LATITUDE 65°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° if 011 r Angle. li. in. o / / / / / 1 r / t / / / li. ni. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 5" 175 45 175 40 175 34 175 28 175 22 175 16 175 °7 174 59 174 51 174 4° 174 29 10 20 171 40 171 31 171 21 171 10 170 58 170 46 170 32 170 16 170 01 169 43 169 24 169 02 20 30 167 34 167 20 167 04 166 48 166 30 166 12 165 51 165 29 165 06 164 40 164 II 163 40 30 40 163 29 163 10 162 50 162 29 162 06 161 42 161 16 160 48 160 16 159 43 159 °6 158 26 40 50 15928 159 05 158 41 158 15 157 48 157 18 156 46 156 12 155 34 154 55 154 1° 153 22 50 1 OO 155 32 155 °5 154 36 154 °6 153 35 153 °° 152 24 151 44 151 01 150 15 149 24 148 30 1 00 10 151 39 151 09 150 37 150 02 149 28 148 49 148 08 147 24 146 36 145 45 14449 143 49 10 20 147 52 147 20 146 44 146 08 145 28 144 47 144 01 .143 14 142 22 141 26 140 26 139 21 20 30 144 10 143 35 142 58 142 18 141 35 140 51 140 03 139 11 138 16 137 18 136 15 135 °6 30 40 140 36 139 58 139 18 138 35 137 5° 137 02 136 13 135 19 134 21 133 20 132 14 131 °4 40 50 137 06 136 26 135 45 135 °o 134 13 133 23 132 31 131 36 130 36 129 33 128 26 127 13 50 a 00 133 42 133 00 132 17 131 31 13° 43 129 52 128 58 128 01 126 59 125 55 124 47 123 33 2 OO 10 130 24 129 42 128 57 128 09 127 19 126 28 125 32 124 35 123 33 122 27 121 19 120 04 10 20 127 12 126 29 125 43 124 55 124 04 123 11 122 15 121 16 120 14 119 08 118 59 117 46 20 30 124 06 123 20 122 34 121 45 120 54 120 01 119 04 118 05 117 °3 115 58 114 49 "3 35 30 40 121 03 120 19 119 31 118 43 "7 51 116 57 116 00 "5 °2 114 00 112 54 III 46 no 33 40 50 118 08 117 22 116 35 115 46 114 54 114 00 113 °4 112 05 in 03 109 58 108 51 107 39 50 3 OO "5 17 "4 31 "3 44 112 54 112 03 in 09 no 13 I09 14 108 13 105 28 107 09 106 03 104 52 3 00 10 112 29 in 43 no 56 no 07 i°9 15 108 22 107 27 I06 29 104 26 103 20 102 10 10 20 109 46 J09 01 108 14 107 25 106 34 105 41 104 46 103 50 102 49 101 48 100 43 99 34 20 30 107 08 106 23 105 36 104 47 i°3 57 103 05 102 10 101 14 100 15 99 15 98 11 97 °3 30 40 ,104 34 l°3 49 103 02 102 14 101 24 100 32 99 39 98 44 97 46 96 46 95 43 94 39 40 50 102 02 ioi 18 100 32 99 44 98 55 98 04 97 " 96 17 95 20 94 21 93 20 92 17 50 4 00 99 34 '9851 98 06 97 18 96 30 95 4° 94 47 93 54 9258 92 or 91 02 88 46 90 00 4 OO 10 97 09 96 26 95 41 94 54 94 °7 93 18 92 27 91 35 89 18 9° 39 89 44 87 45 10 20 94 48 94 °4 93 20 92 34 91 48 9° 59 90 09 88 24 87 29 8633 85 34 20 30 92 28 91 46 91 02 90 17 89 31 88 43 87 54 87°5 86 12 85 19 8423 83 26 30 40 90 11 89 29 8847 88 03 87 17 86 31 85 43 84 54 84 02 83 10 82 16 81 20 40 50 87 56 87 15 8633 85 5° 85 °5 84 20 83 33 82 45 81 54 81 03 80 11 79 16 50 5 00 85 42 85 02 84 21 83 39 82 55 82 10 81 25 8°37 79 48 78 59 78 08 '77 15 5 OO 10 83 32 82 52 82 11 81 30 80 47 80 03 79 18 7832 77 45 7656 76 06 75 15 10 20 81 22 80 43 80 03 79 22 7841 77 58 77 15 76 29 75 43 74 55 74 07 73 16 20 30 79 13 7 ! 3 § 76 28 77 56 77 16 76 35 75 54 75 11 74 27 73 42 72 5° 72 09 71 19 30 40 77 06 75 5" 75 11 74 31 73 5i 73 °9 72 26 71 43 7°58 70 11 69 24 40 50 75 00 74 24 73 47 73 °9 72 30 7i 51 71 10 70 28 69 45 69 01 68 17 67 30 50 6 00 72 56 72 20 71 44 71 06 70 28 69 49 69 10 68 29 6748 67 05 66 22 6538 6 00 10 ZS 52 70 17 69 42 °9 °5 68 28 67 50 67 n 66 32 65 51 65 10 64 28 63 44 10 20 6849 68 16 67 41 °7 °5 66 29 65 52 f 5 '{? 63 18 64 36 °3 57 63 16 - 62 35 61 54 20 30 66 47 66 14 65 39 65 05 64 3° 63 54 62 41 62 02 61 23 60 43 60 02 30 40 64 45 64 13 63 40 63 06 62 32 61 57 61 22 60 45 60 08 59 3° 58 51 58 11 40 50 62 44 62 13 61 40 61 08 60 35 60 01 59 25 585° 58 15 57 38 57 °i 56 22 50 7 00 60 43 60 12 ■59 41 59 10 5838 58 05 57 31 5656 56 22 55 46 55 1° 54 33 7 OO 10 58 42 58 12 57 43 57 12 56 40 56 09 55 35 55 °2 54 29 53 54 53 20 52 43 10 20 56 43 56 H 55 44 55 14 54 44 54 13 53 4i 53 09 52 36 52 03 5i 3° 5° 55 20 30 54 42 54 14 53 46 53 17 5248 52 18 51 48 51 16 50 44 50 12 49 4° 49 °6 30 40 52 43 52 16 51 48 51 20 S ° 5 ? 5° 23 49 53 49 23 48 53 48 22 47 5° 47 18 40 50 50 43 5° 17 49 50 49 23 4856 48 29 48 00 47 31 47 01 46 32 46 01 45 3° 50 8 00 48 43 48 18 47 52 47 26 46 59 46 33 46 05 45 30 45 °9 44 40 44 11 43 41 8 OO 10 46 43 46 20 45 55 45 29 45 °4 44 38 44 11 43 45 43 18 42 5° 42 22 41 53 10 20 30 44 44 44 20 43 57 43 32 43 °8 42 43 42 18 4i 53 41 27 40 59 4° 33 40 05 20 42 44 42 21 41 59 4i 36 41 12 40 48 40 24 40 00 39 35 39 1° 38 44 38 17 30 40 40 44 40 23 40 00 39 38 39 16 38 53 38 3° 38 07 37 42 37 18 3 s 54 36 29 40 50 38 44 38 23 38 02 37 41 37 20 36 59 3636 36 14 35 51 35 28 35 04 34 41 50 9 00 36 43 36 24 36 04 35 43 35 23 35 °3 34 41 34 20 33 59 33 37 33 15 32 52 9 00 10 34 42 34 24 34 t>5 33 46 33 26 33 °7 3248 32 28 32 07 31 46 31 25 31 °3 10 20 30 32 42 32 24 32 06 31 49 31 3° 31 12 3° 53 3° 34 3° 15 29 55 29 35 29 16 20 30 41 30 24 30 07 29 5° 29 33 29 16 28 59 28 40 28 23 28 04 27 46 27 27 30 40 . 28 39 28 24 28 09 27 52 27 36 27 20 27 03 26 47 26 30 26 12 25 55 25 37 40 60 26 38 26 24 26 08 25 54 25 39 25 24 25 09 24 53 24 38 24 21 24 05 23 49 50 10 00 24 36 24 23 24 09 23 56 23 42 23 27 23 13 22 59 22 44 22 29 22 15 21 59 10 00 10 22 34 22 21 22 10 21 57 21 43 21 31 21 17 21 05 20 51 20 37 20 24 20 10 10 20 20 32 20 20 20 09 19 58 19 46 19 35 19 22 19 10 18 58 18 45 18 34 18 21 20 30 40 50 18 30 18 19 18 09 17 58 17 48 17 38 17 27 17 16 17 °5 16 54 16 42 16 31 30 16 26 16 18 16 08 15 59 15 5° 15 4° 15 31 15 22 15 II 15 OI 14 51 14 41 40 14 24 14 16 14 08 14 00 13 52 13 44 13 35 13 27 13 18 13 °9 13 00 12 51 50 11 00 10 20 30 40 50 12 21 12 14 12 07 12 00 11 53 II 46 11 39 n 32 II 24 II 16 II 09 11 02 11 00 10 17 10 12 10 06 10 01 9 55 9 48 9 42 9 36 9 30 9 24 9 18 9 11 10 8 14 8 io 8 05 8 00 7 56 7 51 7 46 7 42 7 36 7 3i 7 27 7 21 20 6 11 6 08 6 03 6 00 5 57 5 53 5 5° 5 46 5 43 5 38 5 35 5 31 30 4 °7 4 05 4 02 4 00 3 58 3 5° 3 53 3 51 3 48 3 46 3 43 3 41 40 12 2 04 2 03 2 01 2 00 1 59 1 58 I 56 1 55 1 54 1 53 1 52 1 5 1 50 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Soutli latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 267 AZIMUTH OR TRUE BEARING. LATITUDE 65°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 65°. Hour Angle. 48° 49° 50° 51° 52° 63° 54° 55° 56° 57° 58° 59° Hour Angle. li. hi. o / / / / / / / / / / / / li. ■"• 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 20 30 40 50 10 174 17 174 03 173 4 8 173 31 173 11 172 47 172 19 171 47 171 °7 170 17 169 13 167 49 20 i6S 38 168 11 167 41 167 07 166 27 165 43 164 49 163 45 162 30 160 55 158 57 156 24 30 163 05 162 26 161 43 160 54 159 57 158 52 157 37 156 08 154 18 152 14 149 35 146 14 40 157 41 156 52 155 57 154 54 153 43 152 22 150 48 149 00 146 52 144 19 141 14 133 56 137 27 129 58 50 152 28 151 3° 150 25 149 11 147 49 146 15 144 28 142 25 140 02 137 14 1 00 147 29 146 23 145 1° 143 48 142 16 140 34 138 37 136 24 13° 5° 133 53 130 58 127 34 123 38 118 10 IJ3 26 109 18 1 00 10 20 30 40 50 10 142 43 141 30 140 11 138 43 137 05 135 15 133 14 128 20 125 23 122 01 20 138 11 136 54 135 3° 133 57 132 16 130 22 128 17 125 57 123 21 118 51 120 26 117 09 30 133 53 132 32 131 °5 129 29 127 46 125 5° 123 45 121 24 "5 59 112 49 40 129 48 128 25 126 56 125 19 123 34 121 39 119 33 117 15 114 45 "I 59 108 56 105 37 102 18 50 "5 56 124 33 123 03 121 26 119 40 "7 45 "5 43 113 27 in 01 108 20 105 27 2 00 122 15 120 51 119 22 117 44 116 00 114 08 112 06 109 55 i°7 34 105 01 102 15 99 18 9° 34 99 15 2 00 10 20 30 40 50 10 118 47 117 23 115 54 "4 17 112 35 no 45 108 46 106 40 104 23 101 56 96 29 20 115 28 114 05 112 36 ill 03 109 22 i°7 34 i°5 39 103 36 101 26 99 °5 93 53 30 112 18 no 56 109 29 107 57 106 18 104 33 102 43 100 44 98 39 96 23 94 °i 91 36 89 19 91 29 89 12 87 02 40 109 17 107 56 106 31 105 01 103 25 101 44 99 56 98 01 96 00 93 52 50 106 24 105 05 103 42 102 13 100 41 99 02 97 18 95 28 93 32 91 28 3 00 103 38 102 21 101 00 99 33 98 °3 96 27 94 48 93 °i I 3 89 II 87 08 85 02 84 57 82 58 81 03 3 00 10 20 30 40 50 lO 100 58 99 43 98 23 97 °° 95 32 94 00 92 23 90 40 87 00 20 98 24 97 10 95 53 94 32 93 °° 91 37 90 04 88 26 86 43 84 55 83 01 30 95 55 94 44 93 29 92 09 90 47 89 20 87 5° 86 16 84 3° 82 53 81 05 79 11 40 93 31 92 22 91 08 89 51 88 32 87 08 85 41 84 10 f 23 l 80 55 79 11 77 22 75 36 50 91 12 90 03 88 52 87 38 86 20 84 59 83 36 82 07 80 36 79 °i 77 21 4 OO 88 56 87 50 86 40 85 28 84 13 82 55 81 34 80 09 7 ? 4 ; 77 °9 75 33 73 54 4 00 10 20 30 40 10 86 43 85 38 84 31 83 21 82 08 80 52 79 34 78 12 7648 75 19 71 47 72 12 20 84 33 83 30 82 25 81 18 80 07 78 54 77 39 76 19 74 57 73 33 72 04 7° 33 68 54 67 18 65 42 30 82 26 81 26 80 22 79 17 78 08 7658 75 44 7428 73 1° 71 47 70 22 68 42 67 03 40 80 23 79 23 78 22 77 18 76 12 75 °3 73 53 72 39 71 23 70 04 50 78 21 77 23 76 23 75 21 74 17 73 11 72 03 7° 51 69 39 68 22 5 00 lO 20 30 76 20 •?4 22 72 25 70 30 75 24 73 28 71 32 69 39 74 26 72 31 70 38 68 46 73 26 7i 33 69 42 67 52 72 24 7° 33 68 44 6655 71 20 69 30 67 43 °5 57 70 14 68 27 66 42 64 57 69 06 67 21 65 37 63 55 67 55 66 13 64 32 62 52 66 41 65 °2 63 23 61 45 65 25 63 48 62 13 6038 64 07 62 32 61 00 59 28 5 00 lO 20 30 40 50 40 68 35 67 46 66 55 66 02 65 °7 64 11 63 14 62 13 61 12 60 08 59 °3 57 55 56 25 50 66 44 65 55 °5 °5 64 15 63 21 62 26 61 31 °° 33 59 34 58 33 57 30 6 OO 64 47 64 04 63 16 62 26 61 36 60 42 5 2 4 2 58 53 57 56 5656 55 55 54 53 6 00 lO 20 • 30 40 SO lO 63 00 62 15 61 28 60 40 59 50 5807 59 00 58 08 57 13 56 18 55 21 54 23 53 22 20 61 10 60 27 59 41 58 55 57 17 56 27 55 36 54 42 53 47 52 5° 51 52 30 59 21 58 38 57 55 57 °9 56 23 55 36 54 47 53 56 53 °5 52 12 51 17 50 21 48 51 40 57 32 56 50 56 08 55 24 54 39 53 54 53 °7 52 18 51 29 5° 37 49 45 48 13 50 55 43 55 03 54 22 53 41 52 57 52 12 51 27 5° 41 49 53 49 °3 47 21 7 OO lO 20 30 53 55 52 07 50 19 48 33 53 17 51 3° 49 44 47 58 52 37 5° 52 49 °7 47 22 51 57 50 12 46 46 51 14 49 32 47 5i 46 08 50 32 48 51 47 10 45 31 49 49 48 09 46 30 44 52 49 °3 47 26 45 48 44 12 48 17 46 41 45 °6 43 31 47 3° 45 55 44 22 42 48 . 46 41 45 °9 43 37 42 05 45 5° 44 20 42 51 41 21 7 OO 10 20 30 40 50 40 46 46 46 12 45 38 45 °3 44 27 43 5° 43 13 42 34 41 55 41 14 4° 33 39 51 38 20 50 44 59 44 27 43 53 43 20 42 45 42 10 41 34 4° 57 40 19 39 4° 39 °I 8 OO lO 20 43 " 41 25 39 38 37 50 36 04 34 17 42 41 40 55 39 I0 42 09 40 25 38 40 41 37 39 55 38 11 41 °4 39 22 37 4° 40 30 38 5° 37 1° 39 55 38 17 3638 39 20 36 06 38 44 37 °9 35 33 38 07 36 33 34 59 37 28 35 57 34 25 36 5° 35 19 33 48 32 18 30 48 29 17 8 00 lO 20 30 40 50 30 40 50 37 24 35 38 33 52 36 56 35 12 33 27 3628 34 45 33 °2 35 59 34 17 32 3° 35 3°. 33 49 32 09 34 59 33 21 31 42 34 29 32 51 31 14 33 58 32 22 30 46 33 25 31 5° 30 16 32 52 31 20 29 46 9 OO 10 20 32 30 30 43 28 55 27 oS 25 19 23 32 32 07 30 21 28 35 31 43 29 58 28 13 31 18 29 36 27 52 3° 54 29 12 27 30 30 28 28 48 27 08 30 02 28 24 26 45 29 37 27 59 26 21 29 10 27 34 25 57 28 42 27 °7 25 33 23 58 28 14 26 41 25 08 27 45 26 14 24 42 9 OO 10 20 30 40 50 30 26 49 26 28 26 08 25 47 25 27 25 °5 24 43 24 21 23 34 23 10 40 50 25 01 23 16 24 43 22 58 24 24 22 40 24 04 22 23 23 45 22 04 23 25 21 46 23 05 21 27 22 44 21 08 22 23 20 47 22 01 20 27 21 39 20 07 10 00 10 20 21 44 19 56 18 08 21 29 19 42 17 55 21 12 20 57 20 39 20 23 20 06 19 49 19 31 19 12 18 54 18 35 10 00 10 20 30 40 50 19 27 17 42 19 13 17 28 18 57 17 14 18 42 17 00 18 26 16 46 18 10 16 31 17 53 16 16 17 37 16 01 17 20 15 46 17 02 15 3° 30 16 20 16 08 15 56 15 44 15 31 15 J9 15 °6 14 52 14 39 14 25 14 n 13 57 40 50 14 31 12 43 14 21 12 33 14 10 12 23 13 59 12 15 13 48 12 05 13 37 11 54 13 25 11 45 13 14 11 34 13 °2 II 24 12 49 11 13 12 37 II 03 12 25 10 52 11 00 10 20 30 40 50 12 OO 10 53 9 05 7 16 5 27 3 38 1 49 00 10 45 8 58 7 " 5 24 3 35 I 48 00 10 38 851 7 °5 5 19 3 33 1 46 00 10 30 8 45 7 00 5 15 3 30 1 45 00 10 21 8 37 6 54 5 11 3 28 1 43 00 10 13 8 3° 649 5 °8 3 24 1 42 00 10 04 8 24 6 43 5 °3 3 21 I 41 00 9 56 8 17 6 38 4 58 3 19 1 39 00 9 47 8 09 6 31 4 54 3 16 1 38 00 9 37 8 01 625 4 48 3 12 1 37 00 9 28 7 53 6 19 4 44 3 °9 1 35 00 9 18 7 46 6 12 4 39 3 06 1 34 00 11 OO 10 20 30 40 50 12 OO r„ w n *n. latltndi. when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the staJfs sefS'nJor Vest of the meridfan, the tabulated azimuths are reckoned from North to West. t„ ««„H. l.tltndP when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the "star fc settrne < 5 ^est of the mirilian, the tabulated azimuths are reckoned trom South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the reqmred true bearing. 268 AZIMUTH OR TRUE BEARING. LATITUDE 65°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 65°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / / / / r / / 1 >" / 1j. m. 00 180 oo 180 00 180 00 180 00 180 00 00 00 00 00 00 O 00 10 165 53 163 02 158 29 150 10 131 45 88 52 44 55 2548 17 14 12 35 9 41 10 20 152 59 148 10 141 07 130 07 112 39 87 44 61 59 43 13 31 20 23 45 18 38 20 30 141 55 136 12 128 28 "7 55 103 48 8636 68 47 53 21 4i 31 32 49 26 26 30 40 132 46 126 50 119 22 109 58 9§ 31 85 28 71 56 59 18 48 32 39 49 32 52 40 50 125 14 119 3° "2 35 104 22 94 5° 84 20 73 27 62 53 53 2° 45 °2 38 04 SO 1 00 119 06 113 35 107 18 100 05 9158 83 12 74 05 65 05 56 37 48 56 42 11 1 OO lO "3 45 108 43 103 01 96 37 »9 35 82 03 74 15 66 25 58 52 51 49 45 23 10 20 109 17 104 37 99 26 93 44 87 3° 80 55 74 05 67 10 60 24 53 55 47 51 20 30 105 23 101 04 96 20 91 II 8538 79 47 73 42 67 32 61 23 55 26 49 46 30 40 101 57 97 56 93 35 88 55 83 54 7838 73 11 6736 62 00 56 31 51 12 40 50 98 52 95 °9 91 08 8651 82 17 77 30 72 32 67 27 62 20 57 15 52 16 50 2 00 96 02 92 34 88 51 84 54 80 44 76 21 7i 49 67 09 62 25 57 42 53 02 2 OO 10 93 27 90 13 8645 83 06 79 15 75 12 71 01 66 42 62 20 57 5S 53 33 10 20 91 03 88 00 84 46 81 22 77 48 74 °3 70 11 66 11 62 06 57 59 53 52 20 30 88 47 85 56 82 54 79 43 76 23 72 54 69 17 65 34 61 45 57 54 54 00 30 40 86 39 83 57 81 06 78 08 75 00 7i 45 68 21 64 53 61 19 57 41 54 01 40 50 84 36 82 04 79 23 76 35 73 39 70 35 67 25 64 oS 60 47 57 22 53 53 50 3 00 82 40 80 15 77 43 75 °4 72 18 69 25 66 26 63 21 60 12 56 57 53 40 3 OO 10 80 47 78 30 76 06 73 35 70 58 68 15 65 27 62 32 59 32 5628 53 20 10 20 7858 76 47 74 30 72 08 69 39 67 05 64 25 61 40 58 49 55 55 52 56 20 30 77 12 75 08 7258 70 42 68 21 °5 55 63 23 60 47 58 04 55 18 52 28 30 40 75 29 73 30 71 27 69 17 67 04 64 44 62 20 59 51 57 17 54 39 51 57 51 31 40 50 73 48 7i 55 69 56 67 54 65 46 63 34 61 16 58 55 56 28 53 56 50 4 00 72 10 70 21 68 28 6631 64 30 62 23 60 12 57 56 55 36 53 12 50 44 4 00 10 70 32 68 48 67 00 65 08 63 12 61 11 59 07 58 01 56 57 54 43 52 26 50 04 10 20 6856 67 17 «5 34 63 47 61 55 60 00 55 57 53 49 51 37 49 21 20 30 67 22 65 47 64 08 62 25 60 38 5848 56 54 54 56 52 53 50 46 48 36 30 40 65 49 64 17 62 42 61 04 59 23 57 36 55 47 53 53 5i 56 49 55 47 5" 40 50 64 13 62 49 61 18 59 43 5805 56 24 54 39 52 5° 5° 57 49 01 47 °2 50 5 00 62 45 61 20 59 52> 58 22 56 49 55 11 53 29 5146 49 58 48 07 46 11 5 OO lO 61 15 59 53 58 26 58 29 57 01 55 32 .53 58 52 22 50 41 48 57 47 11 45 21 lO 20 59 44 57 05 55 41 54 15 52 45 51 12 49 35' 47 57 46 13 44 28 20 30 5| 15 5659 55 42 54 21 52 57 51 31 5° 03 48 3° 46 54 45 15 43 34 30 40 56 45 55 33 54 18 53 00 51 40 50 17 4852 47 23 45 51 44 16 42 38 40 50 55 17 54 06 52 54 51 40 50 23 49 °3 47 41 46 16 44 48 43 16 41 41 50 6 00 53 48 52 41 51 31' 50 20 49 °* 47 49 46 30 45 08 43 43 42 15 40 44 39 4° 6 OO 10 52 19 51 15 50 08 48 59 47 38 47 48 46 34 45 18 43 59 42 37 41 13 10 20 5° 52 49 49 48 22 48 45 46 30 45 19 44 06 42 50 41 31 40 10 38 47 20 30 49 23 47 21 46 17 45 12 44 03 42 54 4i 4i 40 24 39 07 37 46 30 40 47 55 46 57 45 57 44 & 43 53 42 48 41 40 40 30 39 18 38 03 36 45 40 50 46 27 45 31 44 35 43 35 42 35 41 32 40 27 39 20 38 10 36 58 35 43 50 7 OO 44 59 44 c6 43 11 42 14 41 15 40 15 39 13 38 08 37 01 35 53 34 41 7 OO 10 43 31 42 40 41 47 40 52 39 56 38 37 3858 37 59 36 57 35 53 34 46 33 38 10 20 42 03 41 13 40 23 39 31 37 41 36 44, 35 45 34 43 33 39 32 34 20 30 40 33 39 47 38 59 38 08 37 18 36 24 35 29 34 32 33 33 32 33 31 3° 30 40 39 07 38 21 37 34 36 46 35 57 35 06 34 14 33 19 32 23 31 25 3° 25 40 50 37 38 36 54 36 10 35 24 34 37 33 48 32 58 32 06 31 12 3° 17 29 20 50 8 OO 36 09 35 27 34 45 34 01 33 16 32 3° 31 42 30 52 30 01 29 08 28 13 8 OO 10 34 41 34 01 33 21 32 39 31 56 31 11 3° 25 29 38 28 49 27 58 27 06 lO 20 33 12 32 35 31 56 31 15 3° 34 29 52 29 08 28 24 27 37 26 49 25 59 20 30 31 43 31 07 3° 31 29 53 29 13 28 33 27 51 27 08 26 24 25 39 24 51 30 40 30 14 2940 29 05 28 29 27 5i 27 14 26 34 25 53 24 38 1 25 12 24 28 23 43 40 50 28 45 28 12 27 39 27 05 26 30 25 54 25 17 23 58 23 17 22 35 50 9 00 27 16 26 44 26 13 25 41 25 08 24 34 23 59 23 22 22 45 22 06 21 26 9 00 10 25 45 25 17 24 46 24' 16 23 45 23 13 22 40 22 06 21 3° 20 54 20 17 10 20 24 16 23 48 23 20 22 52 22 23 21 53 21 22 20 49 20 16 19 42 19 06 20 30 22 46 22 21 21 54 21 27 21 01 20 32 20 03 19 33 19 01 18 30 17 57 30 40 • 21 15 20 51 20 28 20 02 19 37 19 11 18 44 18 15 17 47 17 17 16 47 40 50 19 46 19 23 19 01 18 38 18 14 17 5° 17 25 16 59 16 31 16 05 15 36 50 lO 00 18 15 17 55 17 34 17 13 16 51 16 28 16 06 15 41 15 16 14 51 14 25 10 00 10 16 44 16 26 16 06 15 46 15 27 15 06 14 45 14 23 14 01 13 38 13 13 10 20 15 13 H 57 14 39 14 21 14 °3 13 45 13 26 13 06 12 45 12 24 12 02 20 30 13 43 13 28 13 12 12 56 12 40 12 23 12 06 11 48 11 29 II 10 10 50 30 40 12 11 11 58 II 44 II 30 II 15 11 01 10 45 10 29 10 13 9 56 9 39 40 50 10 40 10 29 10 16 10 04 9 52 9 38 9 25 9 11 8 57 8 42 8 27 50 11 00 9 "9 8 59 8 48 838 8 27 8 16 8 04 7 53 7 4° 7 28 7 14 11 00 10 l l l 7 29 7 20 7 12 7 °3 6 53 6 44 6 34 6 23 6 13 6 02 lO 20 6 06 5 59 5 53 5 45 5 38 5 31 5 24 5 15 5 07 4 59 4 50 20 30 4 34 4 29 4 24 4 19 4 14 4 08 4, ° 2 3 56 3 50 3 44 3 37 30 40 3 03 2 59 2 57 2 53 2 49 2 45 2 42 2 38 2 34 2 30 2 25 40 50 1 31 I 30 1 28 I 26 I 25 I 23 1 20 1 19 1 17 I 14 I 13 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 269 AZIMUTH OR TRUE BEARING. IiATITUDE 66°. DECLINATION— SAME NAME AS-LATITUDE. IiATITTJBE 66°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. b. in. o / / / / / t / / a / / f / li. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 17° 35 176 33 176 31 176 28 176 25 176 22 176 19 176 16 176 13 176 10 176 06 176 02 10 20 30 40 50 20 173 11 173 °6 173 01 172 56 172 50 172 44 172 39 172 32 172 26 172 19 172 n 172 04 30 169 48 169 41 169 33 169 25 169 17 169 08 168 59 168 50 168 40 168 30 168 20 168 08 40 166 25 166 15 166 05 165 55 165 45 165 34 165 21 165 09 164 57 164 43 164 29 164 14 50 163 03 162 52 162 41 162 27 162 14 162 00 161 46 161 31 161 16 160 58 160 41 160 22 1 OO 159 44 159 3i 159 17 159 °2 158 46 158 30 158 14 157 55 157 37 157 17 156 57 156 35 1 OO 10 20 30 40 SO lO 156 27 156 12 155 55 155 38 155 21 155 02 154 42 15422 154 01 153 39 153 15 152 51 20 153 13 152 55 152 37 152 17 151 58 151 37 151 15 15° 53 15° 3° 150 °5 149 39 149 12 30 150 00 149 40 149 21 149 00 148 38 148 16 147 52 147 27 147 02 146 34 146 06 145 37 40 146 5° 146 29 146 07 145 45 145 21 144 57 144 31 144 04 143 37 143 °9 142 38 142 07 50 143 44 143 21 142 59 142 34 142 09 141 43 141 16 140 47 140 18 139 +7 139 15 138 42 2 OO 140 40 140 15 13? 51 139 25 138 58 138 32 138 03 137 33 137 02 136 30 135 57 135 21 2 00 10 20 30 10 137 39 137 13 136 48 136 21 135 53 135 25 134 55 134 23 133 52 133 18 132 42 132 07 20 134 41 134 15 133 48 133 20 132 51 132 22 131 51 131 18 130 46 13° 11 129 34 128 57 30 131 46 131 18 130 51 130 21 129 52 129 21 128 50 128 16 127 42 127 07 126 30 125 52 40 128 54 128 26 "7 58 127 28 126 57 126 26 125 52 125 19 124 44 124 08 123 29 122 51 40 50 50 126 05 125 36 125 08 124 37 124 05 123 34 123 00 122 25 121 50 121 13 120 34 119 55 3 00 123 19 122 50 122 21 121 49 121 17 120 45 120 n 119 36 119 00 118 22 117 43 117 04 3 OO lO 120 36 120 07 119 36 119 04 118 32 "7 59 117 24 116 49 116 13 "5 35 114 55 114 16 lO 20 30 20 "7 56 117 25 116 54 114 16 116 22 "5 50 115 16 114 42 114 06 "3 30 112 52 112 13 ni 32 30 "5 18 114 47 113 44 113 11 112 38 IT2 02 in 27 no 50 no 12 109 32 10853 40 112 43 112 12 in 40 III 08 «o 35 no 01 IO9 27 108 50 108 14 107 36 106 56 106 16 40 50 no 10 109 39 109 07 108 34 108 01 107 28 106 53 106 16 105 40 105 02 104 23 103 44 50 4 00 107 40 107 08 106 38 106 05 105 31 104 58 104 23 103 47 103 10. 102 33 101 53 101 14 4 OO 10 20 30 40 50 10 105 11 104 40 104 08 103 36 103 02 102 29 101 54 101 18 100 41 100 05 99 25 98 47 20 102 45 102 13 101 42 101 10 100 36 100 03 99 28 98 52 98 16 97 4° 97 01 96 22 30 100 20 99 49 99 18 98 45 98 12 97 39 97 °5 96 30 95 54 95 17 94 39 94 01 40 97 58 97 26 96 56 96 23 95 51 95 18 94 4+ 94 °9 93 33 92 56 92 19 91 41 50 95 36 95 06 94 35 94 03 93 3° 92 58 92 23 91 49 91 15 90 38 90 01 89 24 5 00 93 16 92 46 92 15 91 44 91 11 9° 39 90 06 89 31 88 57 88 22 87 45 87 08 5 OO lO lO 90 58 90 28 89 58 89 26 88 54 88 23 87 49 87 15 86 41 86 06 85 30 84 54 20 88 42 88 12 87 4i 87 11 86 39 86 07 85 35 85 01 84 27 83 53 83 18 82 42 20 30 40 30 86 25 85 56 85 27 84 55 84 24 83 53 83 21 82 47 82 15 81 41 81 06 80 31 40 84 10 83 42 83 12 82 41 82 n 81 40 81 09 80 35 80 03 79 3° .78 55 78 22 50 8! 58 81 29 80 59 80 29 79 59 79 29 78 57 78 26 77 54 77 21 76 47 76 14 ,' 50 6 00 79 44 79 "6 78 47 78 17 77 48 77 18 76 47 76 15 75 44 75 12 74 39 74 06 6 OO lO 20 30 40 50 lO 77 32 77 03 76 35 76 06 75 36 75 07 74 37 74 °7 73 36 73 05 72 32 72 00 20 75 21 74 53 74 25 73 56 73 28 72 59 72 29 7i 59 71 29 7°58 70 26 68 20 69 55 67 50 30 73 09 72 42 72 14 71 47 71 18 70 50 70 21 69 5i 69 22 68 52 40 70 58 70 32 70 05 69 37 69 10 68 42 68 13 67 45 67 15 66 46 66 15 65 45 50 68 48 68 22 67 56 67 28 67 01 66 34 66 06 6538 65 10 64 41 64 11 63 42 7 00 66 38 66 12 65 46 65 20 64 53 64 27 64 00 63 32 63 05 62 36 62 08 61 3D 7 00 lO 64 27 64 02 63 37 63 11 62 45 62 20 61 52 61 26 60 59 60 32 60 03 59 36 10 20 62 17 61 53 61 28 61 03 60 38 60 13 59 47 59 20 58 55 58 27 58 01 57 34 20 30 '40 SO 30 60 07 59 44 59 20 58 55 58 3° 5806 57 41 57 15 56 5° 56 24 55 57 55 32 40 57 58 57 34 57 " 56 47 56 23 56 00 55 35 55 1° 54 46 54 2i 53 55 53 29 50 55 48 55 25 55 03 54 39 54 16 53 54 53 29 53 °6 52 41 52 17 51 52 51 27 8 00 53 37 53 15 52 53 52 30 52 09 51 46 51 23 51 00 50 37 50« 49 49 49 25 8 OO lO 20 30 40 50 lO 51 27 51 °7 5° 45 5° 23 50 02 49 4°- 49 17 48 55 48 32 48 09 47 46 47 24 20 49 17 48 57 48 36 48 15 47 53 47 33 47 " 46 49 46 29 46 07 45 44 45 22 30 47 °6 46 46 46 27 46 06 45 46 45 26 45 °5 44 44 44 24 44 03 43 41 41 38 43 20 41 18 40 44 55 44 36 44 17 43 58 43 38 43 19 42 59 42 39 42 19 4i 59 50 42 43 42 26 42 08 41 48 41 30 41 12 4° 52 4° 34 4° 15 39 55 39 35 39 T 5 9 OO 4° 31 40 14 39 57 39 38 39 21 39 °4 38 45 38 27 38 09 37 5i 37 3i 37 13 9 OO 10 20 30 40 50 10 38 20 38 03 37 46 37 29 37 12 3656 3638 36 20 36 04 35 46 35 29 35 " 20 36 07 35 51 35 36 35 20 35 03 34 48 34 32 34 15 33 59 33 42 33 25 33 09 30 40 33 55 31 41 33 4° 31 27 33 24 31 12 33 09 3 2 5 2 28 48 32 54 3° 44 32 39 3° 3° 32 24 3° 15 32 08 30 00 31 52 29 47 31 37 29 32 31 21 29 17 31 05 29 02 26 59 SO 29 27 29 H 29 01 28 34 28 21 28 07 27 54 27 4° 27 27 27 12 lO 00 27 13 27 01 26 49 26 36 '26 23 26 II 25 59 25 46 25 34 25 21 25 08 24 55 lO OO 10 20 30 10 24 58 24 47 24 36 24 24 24 13 24 01 23 5° 23 38 23 26 23 15 23 °3 22 51 20 48 20 22 44 22 33 ;2 23 22 12 22 03 21 52 21 41 21 31 21 20 21 09 20 59 30 20 28 20 20 ;o 10 20 01 19 5° 19 41 19 32 19 22 19 13 19 03 18 54 18 44 40 18 12 18 04 T 7 5° I? 47 17 39 17 31 17 22 17 13 17 06 16 57 16 47 16 39 40 50 50 15 57 15 5° 15 42 15 35 15 27 15 20 15 13 15 05 14 57 14 50 14 43 14 35 11 OO 13 41 13 35 13 29 13 22 13 15 13 09 13 03 12 56 12 49 12 43 12 37 12 30 11 OO 10 10 11 25 9 07 6 51 n 19 9 °3 6 48 n 14 11 08 11 04 10 58 10 53 10 47 10 42 10 37 10 30 10 25 20 30 8 59 6 45 8 55 6 42 8 50 6 39 8 46 6 35 8 42 6 32 8 37 6 28 8 34 6 25 8 29 6 22 * 25 6 19 8 20 6 16 20 30 40 50 12 00 40 50 4 34 2 17 00 4 32 2 16 4 30 2 15 4 28 2 13 4 25 2 13 4 23 2 11 4 21 2 11 4 19 2 09 4 17 2 08 4 15 2 07 4 12 2 06 4 10 2 06 12 OO 00 00 00 00 00 00 00 00 00 00 00 In North latitude, when the star is rising or East of the meridian the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the merifian, the tabulated azimuths are reckoned from North to West. In Sonth latitude, when the star is rising or East of the meridian the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 270 AZIMUTH OR TRUE BEARING. >• LATITUDE 66°. DECLINATION- ■SAME NAME AS— LATITUDE. LATITUDE 66°. Hour Angle. 36° 37" 38° 39° 40° 41° 42° 43° 44" 45° 46° 47° Hour Angle. h. in. o / / / / / / / / / / / / li. 111. 00 180 oo 180 00 1S0 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 58 175 53 175 48 175 44 175 39 175 32 175 26 175 20 175 12 175 04 174 56 174 47 10 20 171 55 171 47 171 38 171 28 171 17 171 05 170 54 170 40 170 26 170 10 169 54 169 35 20 30 167 56 167 43 167 29 167 14 166 59 166 42 166 24 166 05 165 43 165 20 164 56 164 28 30 , 40 163 57 163 41 163 23 163 04 162 43 162 22 161 58 161 33 161 05 160 35 160 03 159 27 40 50 160 03 159 42 159 21 15858 158 32 158 06 157 37 157 06 156 32 155 57 155 18 154 36 50 1 00 I56 12 155 49 155 23 154 55 154 27 153 5° 153 22 152 47 152 09 151 27 150 43 149 53 1 OO 10 152 25 151 58 151 3° 150 58 150 26 149 5i 149 14 148 34 147 51 147 05 146 15 145 21 10 20 I48 44 148 13 147 41 147 08 146 32 '45 53 145 12 144 29 143 42 142 53 141 58 140 59 20 30 M5 05 144 33 ■ 143 58 143 22 142 43 142 02 141 18 140 32 139 41 138 48 137 51 136 49 30 40 J4I 33 140 58 140 22 139 43 139 01 138 18 137 31 136 43 135 50 134 54 133 54 132 50 40 50 138 07 137 3" 136 52 136 11 135 27 134 42 '33 54 133 02 132 07 131 10 130 08 129 01 50 2 OO 134 45 134 °7 133 26 132 43 131 59 131 n 130 21 129 29 128 33 127 33 126 29 125 22 .2 00 10 131 28 130 49 130 07 129 23 128 37 127 48 126 58 126 03 125 07 124 06 123 02 122 53 10 20 128 17 127 37 126 54 126 09 125 22 124 32 123 41 122 45 121 47 120 47 119 42 118 33 20 30 125 11 124 29 123 46 123 00 122 12 121 22 120 30 "9 34 118 36 117 35 116 30 115 21 30 40 121 10 121 27 120 44 "9 57 119 09 118 18 117 26 116 30 "5 31 114 30 113 26 112 18 40 50 119 14 118 31 117 46 117 00 116 II 115 21 114 28 113 32 112 34 in 33 no 29 109 21 50 3 OO 116 22 115 39 114 55 114 08 113 19 112 28 III 35 108 48 no 40 109 42 108 41 107 39 106 32 3 00 IO "3 34 112 51 112 06 III 19 no 31 109 40 107 53 106 55 105 55 104 53 103 48 IO 20 no 50 no 08 109 22 108 36 107 48 106 58 106 05 105 11 104 14 103 15 102 14 101 09 20 30 108 10 107 28 106 43 105 57 105 09 104 19 103 27 102 34 101 38 100 40 99 39 98 'fi 30 40 105 34 104 52 104 08 103 22 102 35 101 45 100 54 100 01 99 06 98 09 97 09 96 07 40 50 103 02 102 20 101 36 100 50 100 03 99 H 9824 97 32 9638 95 4i 94 44 93 42 50 4 OO 100 33 99 51 99 08 98 23 97 36 9648 95 58 95 07 94 13 93 19 92 22 91 22 4 00 10 98 05 97 24 96 42 95 56 95 " 94 24 93 35 92 45 91 52 90 58 90 02 89 04 IO 20 95 43 95 °t 94 19 93 35 92 5° 92 03 91 15 90 25 88 10 89 34 88 42 87 47 86 5 d 20 30 93 21 92 40 91 59 H I5 90 31 89 45 88 58 87 19 86 28 85 35 84 39 30 40 91 02 90 22 89 41 8859 88 15 87 29 86 43 85 56 8507 84 17 83 24 82 31 40 50 8845 88 06 87 26 86 44 86 01 85 17 84 31 83 45 82 56 82 08 81 16 80 23 50 5 00 86 29 85 5i 85 11 84 30 83 48 83 05 82 21 81 35 80 48 80 00 79 10 78 18 5 00 10 84 17 83 39 8259 82 19 81 38 80 55 80 12 79 28 7842 77 55 77 06. 76 16 10 20 8205 81 28 80 50 80 10 79 30 78 49 78 06 77 22 7638 75 52 75 °5 74 16 20 30 79 54 79 18 78 4° 78 02 77 23 76 42 76 00 75 18 74 34 73 5° 73 04 72 17 30 40 77 46 77 10 76 34 75 56 75 16 74 37 73 5° 73 15 72 32 71 49 71 04 70 18 40 . 5° 75 39 75 04 74 27 73 50 73 13 72 35 71 55 71 14 70 33 69 51 69 06 68 22 50 6 00 73 32 7258 72 22 71 46 71 10 70.32 69 53 69 14 68 33 67 52 67 10 66 26 6 00 10 71 26 70 52 70 18 69 43 6907 68 30 67 52 67 15 6635 °5 55 65 13 64 31 10 20 69 22 68 49 68 15 67 41 67 06 66 30 65 54 65 16 °4 37 63 59 63 19 62 37 20 30 67 18 66 46 66 13 65 39 65 05 64 30 63 54 63 13 62 41 62 03 61 24 60 45 30 40 65 14 64 43 64 11 6338 63 05 62 31 61 57 61 23 60 45 60 08 59 30 58 52 40 50 63 12 62 42 62 10 61 38 61 06 60 33 59 59 59 25 58 50 58 15 57 38 57 01 50 7 00 61 09 60 40 60 10 59 38 59 °7 58 35 58 02 57 30 56 55 56 21 55 45 55 °9 7 OO 10 59 °7 5838 58 09 57 38 57 09 56 37 56 05 55 34 55 00 54 27 53 53 53 18 10 20 57 06 5638 56 09 55 40 55 I" 54 41 54 10 53 38 53 07 52 35 52 01 51 27 20 30 55 04 54 38 54 10 53 41 53 12 52 44 52 14 51 43 51 13 50 42 50 °§ 49 37 30 40 53 03 52 37 52 10 51 43 51 15 50 47 50 18 49 49 49 19 48 49 48 18 47 47 40 50 51 02 50 37 50 11 49 44 49 tS 48 51 48 23 47 55 47 26 46 57 46 27 45 57 50 8 00 , 49 00 48 36 48 12 47 46 47 21 46 54 46 28 46 01 45 32 45 05 44 37 44 08 8 00 10 47 00 46 37 46 13 J5 48 ?3 50 45 23 44 58 44 32 44 06 43 40 43 14 42 46 42 18 10 20 44 59 44 37 44 14 43 26 43 01 42_37 42 12 41 47 41 22 40 55 40 28 20 30 42 58 42 36 42 14 41 52 41 29 41 05 40 42 40 19 39 54 38 01 39 29 39 04 3838 30 40 40 57 40 36 40 15 39 53 39 31 39 10 38 47 38 24 37 3? 37 13 3° 49 40 50 38 55 3836 38 16 37 55 37 34 37 13 36 52 36 3° 36 08 35 46 35 23 35 0° 50 9 OO 36 54 3636 36 16 35 57 35 37 35 16 34 5° 34 36 34 15 33 53 33 32 33 10 9 OO 10 34 53 34 34 34 16 33 58 33 39 33 20 33 01 32 41 32 21 32 01 31 41 31 22 10 20 32 51 32 35 32 18 31 59 31 42 31 24 31 05 30 47 30 28 30 10 29 50 29 31 20 30 30 49 30 34 30 17 30 00 29 44 29 26 29 10 28 53 2835 28 17 27 59 27 41 30 40 28 47 28 32 28 17 28 01 27 45 27 30 27 14 26 58 26 41 26 25 26 08 25 50 40 50 26 45 26 31 26 17 26 02 25 48 25 33 25 18 25 03 24 47 24 32 24 16 24 00 50 10 00 24 42 24 29 24 17 24 °3 23 49 23 36 23 22 23 08 22 54 22 40 22 25 22 10 10 00 10 22 40 22 27 22 16 22 03 21 51 21 38 21 26 21 13 20 59 20 47 20 33 20 19 10 20 20 37 20 26 20 15 20 04 19 52 19 41 19 29 19 18 19 06 18 54 18 41 18 30 20 30 18 34 18 25 18 14 18 04 17 54 17 43 17 32 17 23 17 11 17 01 16 50 16 38 30 40 16 31 16 21 16 13 16 04 '5 54 13 56 15 45 15 36 15 27 15 17 15 08 14 58 14 48 40 50 14 27 14 20 14 12 14 04 13 47 13 39 13 31 13 23 13 14 13 06 12 57 50 11 00 12 23 12 17 12 10 12 03 II 56 11 50 11 43 11 35 II 28 11 21 n 13 II 06 11 00 10 10 20 10 14 10 09 10 03 9 58 9 52 9 46 9 40 9 34 9 28 9 22 9 16 10 20 8 16 8 12 8 07 8 02 7 58 7 53 7 48 7 44 7 39 7 35 7 30 7 25 20 30 6 12 6 09 6 06 6 01 5 58 5 55 5 52 5 48 5 44 5 40 5 37 5 34 30 40 4 08 4 06 4 04 4 02 3 59 3 57 3 54 3 52 3 50 3 47 3 45 3 42 40 50 2 04 2 03 2 02 2 01 2 00 1 58 1 58 I 56 1 55 1 53 I 52 1 5i 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 271 AZIMUTH OR TRUE BEARING. LATITUDE 66°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 66°. H our Angle. 48° 49o 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. Ii. in. / / / / / / / / / ' / / 1). 111. 00 10 20 30 40 50 180 oo 180 00 180 00 180 00 180 ob 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 174- 35 174 24 174 11 173 55 173 39 173 20 172 57 172 3° 171 59 171 20 170 33 169 31 10 169 14 168 51 168 26 167 56 167 23 166 46 166 01 165 II 164 09 156 40 162 56 161 25 i'S9 3 1 20 163 58 163 24 162 46 162 05 161 17 160 23 159 20 158 07 154 58 152 53 150 18 30 158 48 158 05 157 18 156 24 155 24 154 15 152 5° 151 25 149 39 147 34 145 05 142 03 40 153 49 152 58 152 01 150 57 149 46 148 26 14° 54 145 10 143 °9 140 49 138 05 134 48 50 1 OO 10 20 30 40 50 149 00 148 02 146 57 145 45 144 26 142 5° 141 16 139 22 137 11 134 42 131 49 128 28 1 OO 144 22 H3 17 142 08 140 51 139 24 137 47 136 00 134 00 131 44 129 09 126 14 122 53 10 139 56 138 48 137 33 136 10 134 4° 132 58 131 07 129 04 126 45 124 10 121 15 117 58 20 135 43 134 30 133 12 131 46 130 12 128 29 126 35 124 31 122 12 119 37 116 46 113 36 30 131 40 130 26 129 05 127 36 126 02 124 17 122 23 120 19 118 01 "5 30 112 44 109 40 40 127 50 126 34 125 12 123 43 122 07 120 22 118 28 116 25 114 n hi 44 109 03 106 07 50 2 00 124 10 122 53 121 31 120 00 118 25 116 41 114 49 112 49 no 37 108 15 105 40 102 52 2 00 10 20 120 41 119 24 118 01 116 32 114 56 "3 14 III 25 109 26 107 19 105 00 102 33 99 53 10 117 21 116 03 114 42 113 13 III 39 no 00 108 12 106 17 104 15 102 02 99 4i 97 08 20 30 40 50 114 09 112 52 I" 32 no 05 108 33 106 54 105 09 103 15 101 18 99 11 96 55 94 30 30 III 05 109 50 108 30 107 05 105 35 i°3 59 102 17 100 29 98 34 96 31 94 21 92 03 40 108 II 106 56 105 37 104 14 102 45 101 12 99 34 97 49 95 58 94 00 91 55 89 43 50 3 00 105 21 104 09 102 51 101 30 100 03 98 33 96 57 95 15 93 29 91 36 8936 87 30 3 00 10 102 39 101 27 100 11 9851 97 28 96 00 94 26 92 49 91 06 89 17 87 23 85 22 lO 20 100 02 9» 51 97 38 96 20 94 58 93 33 92 03 90 28 88 49 87.04 85.14 83 20 20 30 97 30 96 20 95 08 93 53 92 34 91 II 89 44 88 12 86 37 8456 83 11 81 '21 30 40 95 02 93 55 92 44 91 31 9° 15 88 54 87 30 86 01 84 29 8253 81 12 79 25 40 SO 9 2 39 91 34 90 25 89 14 87 59 86 40 85 19 83 54 82 25 80 53 79 15 77 34 SO 4 00 90 20 88 04 89 16 88 10 87 00 85 47 84 31 83 13 81 51 80 25 7856 77 22 75 45 4 00 10 87 01 85 57 84 48 8338 82 26 81 09 79 50 78 27 77 00 75 31 73 57 10 20 85 51 84 50 83 47 82 42 81 34 80 23 79 09 77 52 76 32 75 °9 73 43 72 13 20 30 83 42 82 43 81 41 80 37 79 31 78 23 77 10 75 57 74 39 73 19 71 5° 70 30 30 40 81 34 80 37 79 37 78 35 77 30 76 24 75 15 74 °4 72 49 71 32 70 12 6849 40 50 79 30 78 33 77 36 76 35 75 33 74 28 73 22 72 12 71 01 69 46 68 28 67 08 50 5 OO 77 26 76 31 75 36 74 37 73 36 72 34 71 29 70 22 69 13 68 02 66 47 65 30 5 OO 10 75 24 74 32 73 37 72 40 71 42 70 42 69 39 68 34 67 27 66 18 65 06 63 51 10 20 73 26 72 34 71 41 70 46 69 49 68 50 67 50 66 48 °5 43 64 36 63 27 62 15 30 30 71 27 70 38 69 46 68 53 67 58 67 01 66 02 65 02 63 59 62 55 61 48 60 38 30 40 69 3i 68 43 67 53 67 00 6b 07 65 13 64 16 63 18 62 17 61 14 60 09 59 °4 40 50 67 36 66 49 66 01 65 10 64 18 63 25 62 30 61 34 6° 35 59 36 58 33 57 29. 50 6 00 65 41 64 56 64 09 63 20 62 30 61 38 60 45 59 51 58 54 57 56 56 56 55 55 6 OO lO 63 47 63 03 62 18 61 31 60 43 59 53 59 or 58 08 57 14 56 18 55 20 54 20 10 20 61 56 61 13 60 29 59 43 58 5° 5808 57 19 56 28 55 35 54 41 53 45 5248 20 30 60 03 59 2 2 58 39 57 55 57 11 56 23 55 35 54 4° 53 55 53 °3 52 09 51 15 30 40 58 12 57 32 56 51 56 08 55 25 54 39 53 53 53 06 52 17 51 26 50 34 49 42 40 50 56 22 55 43 55 °3 54 21 53.39 52 56 52 11 51 26 50 39 49 5° 49 00 48 09 50 7 00 54 32 53 54 53 16 52 35 51 55 51 13 50 3° 49 46 49 00 48 13 47 25 4° 37 7 OO 10 52 41 52 05 51 28 50 50 50 II 49 30 48 49 48 06 47 22 4° 37 45 51 45 04 10 20 50 52 50 17 49 41 49 °4 48 26 47 48 47 08 46 27 45 44 45 °2 44 17 43 31 20 30 49 °4 48 30 47 55 47 20 46 43 46 06 45 27 44 48 44 07 43 26 42 43 42 00 30 40 47 15 46 42 46 09 45 35 44 59 44 23 43 46 43 09 42 30 41 51 41 09 4027 40 50 45 26 44 55 44 23 43 5° 43 1° 42 42 42 06 41 3° 40 53 4° 15 39 35 38 55 50 8 00 43 38 43 07 42 36 42 04 41 33 40 59 40 26 39 51 39 15 3838 38 01 37 23 8 00 10 41 49 41 20 40 51 40 20 39 50 39 I? 3846 38 12 37 38 37 03 36 28 35 51 10 30 40 01 39 33 39 "5 3836 33 06 37 36 37 05 36 33 36 01 33 28 34 53 34 18 20 30 38 13 37 47 37 19 36 51 36 23 35 55 35 25 34 55 34 24 33 51 33 19 32 4° 30 40 3*5 24 35 59 35 34 35 07 34 4° 34 12 33 44 33 15 32 45 32 16 31 45 31 13 40 50 34 36 34 12 33 48 33 22 32 57 32 3° 32 04 31 37 31 08 3° 40 30 10 29 41 50 9 00 3248 32 24 32 01 31 37 31 13 3° 49 30 23 2958 29 31 29 04 28 36 28 07 9 00 10 30 58 3° 37 3° 15 29 53 28 08 29 29 29 06 28 43 28 19 27 53 27 27 27 01 26 35 lO 20 29 10 28 50 28 30 27 46 27 25 27 02 26 39 26 14 25 51 25 27 25 02 20 30 27 21 27 02 26 44 26 23 26 04 25 43 25 22 25 00 24 38 24 16 23 52 23 29 30 40 25 32 25 14 24 57 24 38 24 19 24 00 23 40 23 21 23 00 22 39 22 17 21 55 40 50 23 44 23 27 23 11 22 53 22 36 22 18 21 59 21 41 21 22 21 03 20 43 20 22 50 10 00 21 55 21 40 21 25 21 08 20 52 20 35 20 18 20 01 19 43 19 26 19 08 18 49 10 00 lO 20 05 19 52 1938 19 23 19 08 18 52 18 38 18 22 18 05 17 49 17 32 17 15 10 20 18 17 18 03 17 Si 17 37 17 24 17 11 16 56 16 42 16 29 16 14 15 59 15 44 30 30 16 27 16 16 16 05 15 52 15 4° 15 28 15 15 15 ° 2 14 49 14 30 14 22 14 07 30 40 1438 14 28 14 17 14 06 13 55 13 45 13 34 13 22 13 10 12 59 12 46 12 33 40 50 12 48 12 39 12 30 12 21 12 II 12 02 II 51 II 42 11 32 ii 21 11 n II 00 50 11 OO 10 59 10 51 10 43 10 35 10 27 10 19 10 11 10 02 9 53 9 44 9 35 9 26 11 00 10 9 °9 9 03 8 56 8 49 8 43 8 36 8 29 8 21 8 15 8 07 7 59 7 52 10 20 7 19 7 15 7 09 7 04 6 58 6 53 6 47 6 42 6 35 6 29 6 24 6 17 20 30 5 3° 5 26 5 22 5 17 5 13 5 09 5 "5 5 01 4 57 4 52 4 47 4 44 30 40 3 4° 3 37 3 34 3 32 3 29 3 26 3 23 3 21 3 18 3 15 3 12 3 09 40 50 1 50 I 49 1 47 1 46 I 45 1 43 1 42 1 41 1 39 1 37 1 36 1 34 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 13 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are Feckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 272 AZIMUTH OR TRUE BEARING. LATITUDE 66°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 66°« Hour All nie- 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. lli. o / / /: 1 / / / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 00 00 00 00 00 10 i°7 55 166 18 163 33 159 07 151 01 132 49 88 si 43 46 24 53 16 33 12 01 10 20 157 01 153 42 149 01 142 04 130 09 113 27 87 43 61 05 42 03 30 14 22 48 20 30 147 02 142 49 137 10 129 28 118 49 104 23 86 34 68 06 52 16 40 18 31 39 30 40 138 20 133 41 127 48 120 17 no 44 98 58 85 26 71 22 ■ 58 21 47 22 38 34 40 50 130 53 126 09 120 23 113 23 105 00 95 12 84 17 72 58 62 04 52 13 43 49 50 1 00 124 31 "9 53 114 25 108 03 100 37 92 15 83 °9 73 41 64 20 55 37 47 45 1 OO 10 119 01 114 36 109 28 103 38 97 05 89 49 82 00 73 53 65 45 57 56 5° 4i 10 20 "4 15 no 01 105 17 99 59 94 06 8741 80 51 73 45 66 34 59 33 52 52 20 30 no 02 106 04 101 40 96 49 91 31 85 46 79 42 73 23 6658 60 36 54 27 30 40 106 17 102 34 98 28 .94 01 89 11 84 01 78 33 72 52 67 05 61 16 55 35 * 40 50 50 102 55 99 25 95 36 91 30 8705 82 22 77 24 72 14 66 57 61 39 56 22 2 00 99 5° 96 33 93 00 89 n 85 07 8047 76 15 71 32 66 40 61 47 56 52 2 OO 10 97 00 93 55 90 36 87 02 83 16 79 17 75 05 70 44 66 16 61 44 57 09 10 20 94 22 91 28 88 20 85 02 81 31 77 49 73 5° 69 54 65 45 61 30 57 14 20 30 91 55 Si 3 86 13 83 07 79 5° 76 23 72 46 69 01 65 09 61 11 57 12 30 40 89 34 84 12 81 17 78 12 74 59 71 3° 68 06 64 28 60 46 56 59 40 , 50 °7 23 84 55 82 17 79 32 76 39 73 37 70 27 67 09 63 45 60 15 56 42 SO 3 00 85 16 82 56 80 27 77 51 75 07 72 15 69 17 66 11 62 59 59 40 56 18 3 OO 10 83 15 81 01 78 39 76 12 73 37 70 55 68 06 65 10 62 09 61 18 59 °2 55 5° 10 20 81 17 79' I" 76 56 74 36 72 09 69 35 6656 64 10 58 20 55 18 20 30 79 24 77 23 75 15 73 02 70 42 68 17 65 45 63 07 60 24 57 36 54 43 30 40 77 34 75 38 73 37 71 30 69 16 « 5 8 64 34 62 05 59 30 56 5" 54 04 40 50 75 47 73 5° 71 59 6958 67 51 65 40 63 23 61 00 58 33 56 01 53 23 50 4 00 74 03 72 16 70 24 68 29 66 28 64 22 62 12 59 56 57 36 55 10 52 4° 4 00 10 72 19 70 37 68 50 67 00 65 05 63 04 61 00 58 50 56 35 54 17 51 53 lO 20 7° 39 69 00 67 18 65 33 63 42 61 48 59 48 5836 57 44 55 35 53 24 51 06 20 30 68 59 67 26 65 48 64 06 62 20 60 30 56 37 54 35 52 27 50 16 30 40 67 21 65 51 64 17 62 40 60 59 59 13 57 24 55 31 53 33 51 31 49 24 40 50 °5 44 64 18 62 48 61 14 59 37 57 57 56 II 54 22 52 30 50 33 48 32 50 5 00 64 09 62 46 61 18 59 49 58 15 56 39 54 58 53 14 51 26 49 34 47 37 5 OO 10 62 35 61 14 59 50 58 24 56 55 55 22 53 45 52 05 50 21 48 34 46 43 lO 20 61 00 59 43 58 22 57 00 55 33 54 °4 52 32 5° 55 49 16 47 33 45 46 20 30 59 2° 58.13 56 55 55 36 54 13 52 47 51 18 49 45 48 10 46 31 44 48 30 40 57 54 56 42 55 28 54 12 52 52 51 3o 50 04 48 35 47 04 45 29 43 49 40 50 56 22 55 13 54 01 52 48 51 31 50 13 48 5° 47 24 45 57 44 25 42 50 50 6 00 54 5° 53 44 52 35 51 08 51 24 50 10 48 54 47 35 46 13 44 49 43 21 41 5° 6 00 10 53 19 52 15 50 00 48 49 47 36 46 20 45 02 43 40 42 16 40 48 10 20 5i 48 50 46 49 42 48 37 47 29 46 19 45 05 43 50 42 31 41 11 39 46 20 30 50 16 49 18 48 16 47 13 46 07 45 00 43 50 42 37 41 22 40 04 38 43 30 40 48 46 -47 49 46 50 45 49 44 46 43 42 42 34 41 24 40 12 38 57 37 39 40 50 47 15 46 21 45 24 44 26 43 25 42 23 41 18 40 12 39 02 37 50 36 35 SO 7 00 45 45 44 52 43 58 43 02 42 04 41 °4 40 02 38 57 37 51 36 42 35 30 7 00 10 44 15 43 24 42 31 41 38 40 42 39 45 38 45 37 43 36 39 35 34 34 25 lO 20 42 44 4i 56 41 05 40 14 39 20 38 26 37 28 36 29 35 28 34 24' 33 18 20 30 41 14 40 27 39 39 38 50 37 59 37 °5 36 II 35 15 34 15 33 15 32 11 30 40 39 44 38 59 38 13 37 26 3 s 37 35 4° 34 54 33 59 33 03 32 05 31 °4 40 50 38 13 37 31 36 46 36 02 35 14 34 26 33 36 32 44 31 5' 30 55 29 57 50 8 00 . 36 43 36 02 35 20 34 37 33 Si 33 06 32 18 31 28 30 36 29 44 28 48 8 OO lO 35 12 34 33 33 53 33 12 32 29 31 45 3° 59 30 12 29 23 28 09 28 33 27 40 10 20 33 42 33 05 32 26 31 47 31 06 3° 25 29 41 28 56 27 22 26 31 20 30 32 11 31 3° 30 59 30 22 29 43 29 °3 28 22 27 39 26 55 26 09 25 21 30 40 3° 41 30 07 29 32 28 56 28 19 27 42 27 03 26 22 25 41 24 57 24 12 40 50 29 09 28 38 28 04 27 31 26 56 26 21 25 43 25 05 24 25 23 45 23 01 50 9 00 27 38 27 oS 26.37 26 06 25 32 24 58 24 23 23 47 23 09 22 32 21 5° 9 00 10 26 07 25 39 25 09 24 39 24 08 23 36 23 04 22 30 21 54 21 18 20 39 10 20 24 36 24 09 23 42 23 14 22 45 22 14 21 44 21 12 20 38 20 04 19 28 20 30 23 °5 22 39 22 14 21 47 21 20 20 53 20 23 19 53 19 22 18 50 18 17 30 40 21 33 21 09 20 45 20 21 19 56 19 30 19 03 18 34 18 06 17 36 17 °5 40 50 20 00 19 39 19 17 18 55 18 31 18 07 17 42 17 16 16 49 16 21 15 53 50 10 OO 18 29 18 09 17 48 17 28 17 06 16 44 16 21 15 57 15 33 15 07 14 41 10 00 10 1° 57 16 39 16 20 16 01 15 4i 15 21 15 00 14 38 14 15 13 52 13 28 10 20 15 26 15 °9 14 52 14 35 14 16 13 58 13 39 13 18 12 58 12 38 12 15 20 30 13 53 13 38 13 22 13 °8 12 51 12 35 12 17 11 59 11 42 11 22 II 02 30 40 12 21 12 07 11 53 11 40 n 25 II 11 10 55 10 40 10 24 10 06 9 50 40 50 10 48 10 37 10 25 10 13 10 00 9 47 9 34 9 20 9 05 851 S36 50 11 00 9 16 9 06 8 5° 8 46 8 35 8 24 8 12 8 00 748 7 35 7 22 11 OO 10 7 43 7 35 7 27 7 18 7 09 7 00 6 50 6 41 6 30 6 20 6 09 lO 20 6 11 6 04 5 57 , 5 50 5 43 5 3° 528 5 20. 5 12 5 04 4 55 20 30 4 38 4 33 4 2b 4 23 4 17 4 12 4 06 4 °W 3 54 3 48 3 41 30 40 3 05 3 °2 2 59 2 55 2 51 2 48 2 44 2 41 236 2 32 2 28 40 50 1 33 1 31 1 29 I 28 1 26 1 24 1 22 1 20 I 18 1 16 1 14 50 18 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 273 AZIMUTH OR TRUE BEARING. LATITUDE 67° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 67°. Hour Angle. 24° 1«. 10 11 in. OO 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 25° :8o oo 76 39 73 19 69 59 66 40 63 22 60 06 5652 53 40 5° 30 47 22 44 18 41 16 38 16 35 20 32 27 29 34 26 46 24 00 21 17 1836 15 58 13 23 10 49 08 18 05 48 03 21 00 56 98 32 96 10 93 48 91 29 89 11 8653 84 37 82 23 80 07 77 53 75 41 73 28 71 16 69 04 66 54 64 42 62 31 60 21 5809 55 58 53 47 51 35 49 25 47 13 45 01 42 49 40 36 38 24 36 10 33 57 31 44 29 29 27 15 24 59 22 45 20 29 18 13 15 57 13 4i 11 24 9 08 651 4 34 2 17 o 00 180 00 176 37 173 15 169 53 166 31 163 II 159 54 156 .37 153 24 150 12 147 02 143 57 140 53 137 53 134- 55 132 00 129 07 126 IS 123 32 120 48 118 07 115 29 "2 53 no 19 107 48 105 19 102 51 100 26 98 02 95 40 93 20 91 00 88 42 86 25 84 09 81 55 79 4o 77 27 75 15 73 02 70 51 6839 66 29 64 18 62 07 59 57 57 46 55 37 53 26 51 15 49 °5 46 54 44 43 42 31 40 19 38 08 35 55 33 43 31 30 29 16 27 03 24 49 22 35 20 20 1805 15 50 13 35 , II 19 9 °4 6 48 2 16 o 00 26° 180 00 176 35 173 10 169 46 166 21 163 00 159 41 156 22 153 °7 149 53 146 42 143 35 140 30 137 28 134 30 131 33' 128 40 125 50 123 04 120 ]o, 117 38 114 59 112 23 109 49 107 18 104 48 102 21 99 55 97 32 95 10 92 50 90 31 88 13 85 5° 83 40 81 26 79 13 77 00. 7448 72 36 70 25 68 14 66 04 63 53 61 43 59 33 57 23 55 15 53 05 50 55 48 45 46 34 44 24 42 13 40 02 37 52 35 40 33 28 31 16 29 03 « 26 51 24 38 22 25 20 II 17 57 15 43 13 29 n 14 9 00 6 45 4 3° 2 15 o 00 27° 180 00 176 33 173 °5 169 38 166 12 162 48 159 27 156 06 152 49 149 34 146 22 143 13 140 06 137 03 134 04 131 06 128 13 125 22 122 35 119 50 117 08 114 28 I" 53 109 18 106 47 104 17 101 51 99 24 97 02 94 40 92 19 90 01 87 43 85 27 83 11 80 58 78 45 76 32 74 21 72 10 69 59 67 49 °5 39 63 29 61 19 59 10 57 °° 54 53 52 43 50 34 48 25 46 15 44 06 41 55 39 45 37 36 35 25 33 '4 31 02 28 51 26 39 24 27 22 15 20 02 17 49 15 35 13 23 11 09 8 56 6 42 4 28 2 14 o 00 28° 180 cfo 176 30 173 00 169 31 166 02 162 36 159 12 155 50 152 31 149 H 146 00 142 49 139 4i 136 37 133 3° 130 38 127 44 124 53 122 05 119 19 116 37 "3 57 ill 21 108 46 106 15 103 45 101 19 98 53 96 31 94 09 91 49 89 30 87 12 84 57 82 42 80 29 78 16 76 03 73 53 71 42 69 32 67 23 65 13 63 04 6055 58 46 56 37 54 30 52 21 50 13 48 05 45 56 43 47 41 37, 39 28 37 19 35 "9 32 59 30 48 28 38 26 27 24 16 22 05 19 53 17 41 15 29 13 16 II 04 852 6 39 4 26 2 13 00 29° 180 00 176 27 172 54 169 23 165 52 162' 24 15S57 155 33 152 12 148 53 145 37 142 25 139 15 136 10 133 08 130 09 127 14 124 22 121 33 118 47 116 06 "3 25 no 49 108 14 105 42 103 13 100 46 98 21 95 59 93 37 91 17 88 58 86 41 84 26 82 12 79 59 77 47 75 34 73 25 71 14 69 05 6656 64 47 62 38 60 30 58 23 56 14 54 07 51 59 49 52 47 45 45 36 43 28 41 19 39 " 37 02 34 54 32 44 30 35 28 25 26 15 24 05 21 55 19 44 17 33 15 22 13 i° 10 59 8 47 636 4 24 2 12 30° 180 00 176 24 17248 169 14 165 42 162 n 158 42 155 15 151 52 148 31 145 13 142 00 138 49 135 42 132 39 129 39 126 43 123 51 31° 121 01' 11S 15 "5 33 112 52 no 16 107 41 105 09 102 40 100 13 97 49 95 26 93 05 9° 45 88 27 86 11 83 56 81 41 79 29 77 17 75 °5 72 57 70 46 68 38 66 29 64 21 62 13 60 05 57 59 55 51 53 44 51 37 49 31 47 24 45 16 43 °9 41 01 38 54 36 46 34 38 32 30 30 21 28 13 26 04 23 54 21 45 19-35 17 25 15 15 13 °4 10 54 8 43 6 33 4 22 2 II 00 180 00 I76 21 172 43 169 06 165 31 161 58 158 26 154 56 151 31 148 oS 144 49 141 34 138 22 135 14 132 09 129 08 126 II 123 19 120 29 117 42 114 58 112 19 109 42 107 07 104 36 102 06 99 40 97 15 94 52 92 32 90 13 87 55 85 39 83 25. 81 io - 78 59 76 47 74 36 72 28 70 18 68 10 66 02 63 55 61 47 59 40 57 34 55 27 53 21 51 15 49 °9 47 03 44 56 42 49 40 43 38 3° 36 29 34 22 32 15 30 07 27 59 25 52 23 43 21 35 19 26 17 17 15 08 12 58 10 49 8 39 6 29 4 20 32° 33° 34° 180 00 176 18 172 37 168 57 165 19 161 43 158 09 154 37 151 09 147 44 144 24 141 07 137 53 134 44 131 38 128 36 125 38 122 45 119 55 117 07 114 24 in 44 109 07 106 32* 104 01 101 31 99 05 96 40 94 18 91 58 89 39 87 22 85 06 82 53 80 39 78 28 76 J7 74 07 71 59 69 50 67 42 65 34 63 28 61 21 59 15 57 09 55 03 52 58 50 52 48 47 46 42 44 36 42 3° 40 25 38 18 36 12 34 °6 32 00 29 53 27 46 25 39 23 32 21 24 19 17 17 09 15 0I 12 52 10 43 8 35 6 26 4 17 2 09 o 00 180 00 176 15 172 31 168 48 165 07 161 27 157 50 154 16 150 47 147 19 143 57 140 38 137 23 134 12 131 05 128 03 125 04 122 10 119 19 116 32 113 48 III 07 108 30 105 56 103 25 100 55 98 29 96 04 1S0 00 176 12 172 24 168 38 164 53 161 II 157 31 153 55 150 22 14° 53 143 28 140 08 136 51 133 39 130 32 127 28 124 29 121 34 118 43 115 55 113 II no 30 l°7 53 105 18 102 48 100 19 97 52 95 28 93 43 93 07 91 23 90 47 89 04 88 29 86 48 86 13 84 33 83 59 82 20 Si 46 80 07 79 34 77 5° 77 23 75 46 75 14 73 36 73 05 71 29 70 58. 69 20 68 50 67 13 66 44 65 06 6438 63 00 62 32 60 54 60 27 58 49 58 23 56 44 56 19 54 39 54 15 52 35 52 n 50 29 50 06 48 25 48 03 46 21 46 00 44 16 43 55 42 10 41 51 40 06 39 47 38 00 37 42 35 55 35 38 33 50 33 34 31 45 31 29 29 39 29 25 27 33 27 19 25 27 25 14 23 21 23 09 21 13 21 03 19 08 18 58 17 00 16 51 14 54 14 46 12 46 12 40 10 38 10 33 8 31 8 27 6 23 6 20 4 15 4 13 2 08 2 07 00 00 180 00 176 09 172 17 168 27 164 39 160 54 137 11 153 32 146 26 142 59 139 37 13° 18 133 05 129 57 126 52 123 52 120 57 118 05 115 17 112 32 109 52 107 14 104 40 102 10 99 42 97 15 94 51 92 3° 90 11 87 54 85 38 83 25 81 12 79 00 76 51, Hour Angle. h. O 74 42 72 34 70 27 68 20 66 15 64 10 62 04 60 00 57 56 55 53 53 49 51 46 49 43 47 41 45 38 43 34 41 31 39 27 37 24 35 21 33 17 31 13 29 10 27 05 25 02 22 57 20 53 18 48 16 42 14 38 12 33 10 2S 8 23 6 17 4 II 2 06 OO 12 in. 00 10 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 SO 00 10 20 30 40 50 OO 10 20 30 40 50 00 10 20 30 40 50 OO lO 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and •when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 5682 02- -18 274 AZIMUTH OR TRUE BEARING. LATITUDE 67°. DECLINATION- -SAME NAME AS— LATITUDE. LATITUDE 67°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. li. in. o / / / / / / / / / / / / b. 111. O OO iSo oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 1S0 00 180 00 00 10 176 04 176 01 175 57 175 52 175 47 175 42 175 36 175 30 175 24 175 17 175 09 175 °i 10 20 172 10 172 02 171 53 171 44 171 35 171 25 171 14 171 02 170 50 170 36 170 21 170 04 20 30 I6S 16 168 05 167 53 167 39 167 25 167 10 166 54 166 37 166 18 165 58 i°5 35 165 11 30 40 164 25 164 10 163 53 163 36 163 18 162 58 162 37 162 15 161 50 161 23 160 54 160 23 40 50 160 36 160 18 159 58 159 37 159 14 158 50 158 24 157 57 157 27 156 55 156 21 155 44 50 1 00 156 51 156 29 156 06 155 41 155 14 154 47 154 17 153 44 153 10 152 33 151 54 151 10 1 00 10 153 10 152 45 152 18 151 50 151 20 150 49 150 14 149 38 149 00 148 19 147 34 146 46 lO 20 149 31 149 4 30 40 78 27 77 52 77 16 76 40 76 02 75 24 74 45 74 05 73 ->4 72 41 71 58 7i 13 40 50 76 17 75 44 75 09 74 33 73 57 73 19 72 40 72 01 71 22 70 40 &9 58 69 14 50 6 00 74 08 73 35 73 °2 72 27 71 5i 71 15 70 37 °9 59 69 20 68 39 6758 67 16 6 OO lO 72 01 71 29 7° 56 70 22 69 46 69 10 68 34 67 57 67 19 66 40 66 00 65 19 lO 20 69 56 69 24 6851 68 17 67 43 67 09 66 34 65 58 65 20 64 42 64 03 63 23 20 30 67 50 67 18 66 46 66 14 65 41 65 07 64 33 63 57 63 21 62 45 62 07 61 28 30 40 65 45 65 14 64 43 64 11 63 39 63 06 62 33 61 58 61 23 60 48 60 11 59 34 40 50 63 41 63 II 62 41 62 10 61 38 61 06 60 33 60 00 59 26 58 51 58 15 57 39 50 7 00 61 3° 61 07 60 38 60 09 59 38 59 06 58 34 58 02 57 30 5656 56 22 55 46 7 00 lO 59 33 59 05 5836 5807 57 37 57 07 5636 56 05 55 33 55 00 54 27 53 53 lO 20 57 30 57 02 56 34 56 06 55 38 55 08 54 38 54°8 53 38 53 06 52 34 ,52 01 20 30 55 27 55 00 54 33 54 °6 53 39 53 I" 52 41 52 12 51 42 51 12 50 41 50 09 30 40 53 25 52 59 5058 52 33 52 07 51 40 51 12 5° 44 SO 16 49 47 49 17 48 47 48 17 40 50 51 23 50 32 50 06 49 40 49 14 48 48 48 21 47 53 47 24 46 55 46 26 50 8 00 49 20 48 56 48 31 48 06 47 4i 47 16 46 50 46 24 45 57 45 30 45 02 44 34 8 00 10 47 18 46 55 46 31 46 07 45 43 45 19 44 54 44 29 44 03 43 37 43 10 42 43 10 20 45 16 44 54 44 31 44 08 43 45 43 21 42 57 42 33 42 09 41 44 41 18 40 52 SO 30 43 13 42 52 42 3° ,42 08 41 46 41 23 41 00 40 37 49 14 39 50 39 26 39 01 30 40 41 11 40 51 40 30 40 09 39 47 39 26 39 05 3842 38 19 37 56 37 33 37 09 40 50 39 09 3850 38 30 38 10 37 50 37 29 37 08 36 47 36 25 36 03 35 41 35 19 50 9 00 37 06 3648 36 29 36 10 35 51 35 31 35 11 34 51 34 31 34 10 33 49 33 27 it OO 10 35 04 34 46 34 28 34 10 33 52 33 34 33 15 32 56 32 37 32 17 31 57 31 37 10 20 33 02 32 45 32 28 32 II 31 54 31 36 31 18 31 00 30 42 30 24 30 05 29 45 20 30 30 59 3° 43 30 27 30 11 29 54 29 38 29 22 29 05 28 48 28 31 28 13 27 55 30 40 2855 28 40 28 25 28 10 27 55 27 40 27 25 27 09 26 53 26 37 26 21 26 03 40 SO 26 53 26 39 26 25 26 II 25 57 25 42 25 28 25 13 24 59 24 44 24 28 24 12 50 lO 00 24 50 24 37 24 23 24 10 23 57 23 44 23 31 23 17 23 03 22 49 22 35 22 21 10 00 10 22 46 22 34 22 22 < 22 10 21 58 21 46 21 34 21 21 21 08 20 55 20 42 20 29 lO 20 20 42 20 32 20 21 20 10 19 59 1948 19 36 19 25 19 14 19 02 18 50 18 38 20 30 18 39 18 29 18 19 18 09 17 59 17 49 17 39 17 29 17 19 17 08 16 57 16 46 30 40 16 35 16 26 16 17 16 08 16 00 15 51 15 42 15 32 15 23 15 14 15 05 14 55 40 50 14 30 14 23 14 15 14 08 14 00 13 52 13 44 13 36 13 28 13 20 13 12 13 04 50 11 00 12 26 12 20 12 13 12 07 12 00 11 54 II 47 11 40 11 33 11 25 n 18 II II 11 OO 10 10 23 8 18 10 17 10 12 10 06 10 01 9 55 9 49 9 43 9 37 9 3i 9 25 ' 9 J § 10 20 8 14 8 10 8 05 8 00 7 56 7 5i 7 47 7 42 7 38 7 33 7 28 20 30 6 14 6 11 6 07 6 04 6 00 5 57 5 54 5 50 5 46 5 43 5 39 5 36 30 40 4 09 4 <>7 4 05 4 02 4 00 3 58 3 56 3 53 3 51 3 49 3 47 3 44 40 50 2 04 2 03 2 02 2 01 2 00 1 59 1 58 1 57 1 56 1 55 1 54 I 53 50 12 00 O 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East ; and when, the star is setting or "West of the meridian, the tabulated azimuths are reckoned from North to "West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth i« to be taken for the required true bearing. 275 AZIMUTH OR TRUE BEARING. LATITUDE 67°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 67°. Hour Angle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. li. in. o / / / / 1 / / / / / / / li. 111. 00 180 oo 180 00 180 00 , 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 174 52 174 42 174 3° 174 18 174 04 173 48 173 29 173 °7 172 42 172 12 171 34 170 48 10 20 169 47 169 26 169 05 168 40 168 12 167 40 167 04 166 21 165 32 164 33 163 21 161 54 20 30 164 45 164 16 163 43 163 07 162 28 161 41 160 48 159 47 158 37 157 H '55, 34 148 18 153 33 30 40 159 49 159 " 158 30 157 44 156 52 155 53 154 47 153 3° 152 03 150 20 145 53 40 50 155 ° 2 154 17 153 26 152 31 151 3° 150 21 149 °3 147 34 145 53 143 55 141 38 138 56 50 1 OO 150 23 149 3i 148 34 147 32 146 21 145 04 143 38 141 59 140 08 138 01 135 33 132 43 1 OO 10 145 53 144 56 143 53 142 45 141 29 140 05 138 31 136 45 '34 48 132 34 130 02 127 07 10 20 141 35 140 32 139 25 138 12 136 51 135 22 133 44 131 54 129 52 127 36 125 01 122 07 20 30 137 25 136 19 135 °9 133 53 132 29 13° 56 129 15 127 23 125 19 123 03 120 28 117 36 30 40 133 27 132 18 131 06 129 46 128 20 126 45 125 04 123 10 121 05 118 49 116 19 113 32 40 50 129 39 128 29 127 13 125 54 124 25 122 50 121 07 119 14 117 12 114 57 112 30 109 48 50 2 00 126 00 124 49 123 32 122 11 120 42 119 08 117 25 115 33 "3 32 in 21 108 58 106 22 2 00 10 122 30 121 19 120 03 118 40 117 12 "5 38 113 57 112 06 no 08 108 01 105 '42 103 12 10 20 119 10 "7 58 116 42 115 20 "3 53 112 19 no 40 108 52 106 57 104 52 102 39 100 15 20 30 115 58 114 46 113 29 112 10 no 43 109 II i°7 33 105 48 103 56 101 55 99 47 97 29 30 40 112 53 in 41 no 26 109 07 106 12 107 41 106 II 104 36 102 53 101 04 99 08 97 04 94 52 [40 50 109 54 108 44 167 30 104 49 103 21 101 47 100 07 98 22 96 30 94.31 92 25 SO 3 00 107 04 105 54 104 41 103 25 102 02 100 36 99 06 97 29 95 47 93 59 92 °4 90 03 3 00 10 104 18 103 09 101 57 100 42 99 22 97 59 96 3° 94 57 93 18 91 34 89 44 87 47 IO 20 101 38 100 31 99 20 98 07 96 48 95 28 94 °2 92 3J 9° 55 89 15 87 29 85 37 20 30 99 °3 97 57 96 48 95 36 94 20 93 01 91 38 90 10 88 38 87 01 85 20 83 31 30 40 40 96 32 95 28 94 2i 93 " 91 57 9° 39 88 22 89 19 87 54 86 25 8452 83 13 81 31 50 94 °7 93 °4 91 58 90 50 8938 S7 04 85 42 •84 15 82 46 81 11 79 32 SO 4 OO 91 45 9° 43 89 38 88 32 87 23 86 09 84 54 83 34 82 11 80 44 79 13 77 37 4 00 10 89 25 88 25 87 22 86 17 85 10 83 59 82 45 81 28 80 08 7844 77 16 75 45 10 20 87 10 86 II 85 1° 84 07 83 01 81 52 80 41 79 26 7809 76 48 75 23 73 55 20 30 40 50 30 84 57 83 59 83 00 81 58 80 55 79 48 7838 77 27 76 12 74 54 73 32 72 07 40 82 47 81 51 8053. 79 53 78 51 77 46 76 40 75 30 74 17 73 °2 7i 43 70 22 50 80 39 79 45 78 48 77 5° 76 50 75 47 74 42 73 34 72 24 71 12 69 56 68 37 5 OO 78 33 77 39 76 45 75 48 74 50 73 49 72 46 71 40 70 33 69 23 68 10 66 53 5 OO 10 20 30 40 50 10 76 29 75 38 74 44 73 50 72 52 71 54 70 52 69 49 68 44 67 35 66 25 65 12 20 74 27 73 37 72 45 71 52 7° 56 70 00 69 00 68 00 66 56 65 51 64 43 63 32 30 72 26 71 37 7° 47 69 56 69 02 68 07 67 09 66 10 65 09 64 05 63 00 61 51 40 70 27 69 39 68 50 68 01 67 08 66 16 65 20 64 22 63 23 62 22 61 19 60 13 50 68 30 67 43 66 56 66 07 65 17 64 25 63 31 62 37 61 39 60 40 59 39 58 35 6 00 6633 65 48 65 02 64 14 63 25 62 36 61 44 60 50 59 55 5858 58 00 5658 6 00 IO 20 30 40 50 lO 64 37 63 53 63 08 62 23 61 36 60 47 59 57 59 °5 58 12 57 17 56 20 55 21 20 62 42 62 00 61 17 60 33 59 47 59 °° 58 12 57 22 56 3° 55 36 54 42 53 1 45 30 60 49 60 07 59 25 58 43 57 59 57 13 56 26 55 37 54 48 53 57 53 °4 52 09 40 50 58 55 57 02 58 15 56 24 57 34 55 44 56 53 55 °4 56 11 54 24 55 26 53 41 54 41 52 57 53 54 52 12 53 °7 51 25 52 17 5°38 51 27 49 49 5° 33 4858 7 "™ OO 55 10 54 33 53 55 53 16 52 37 51 56 51 13 50 30 49 46 . 49 00 4 f J 2 47 24 7 00 10 20 30 40 SO ~ ~~ 10 53 x 9 52 43 52 06 51 28 50 5° 50 n 49 3° 48 48 48 05 47 21 46 36 45 49 20 51 27 50 53 50 17 49 41 49 °4 48 26 47 47 47 07 46 25 45 42 44 59 44 13 30 49 36 49 03 48 29 47 54 47 19 46 42 46 04 45 26 44 46 44 05 43 24 42 40 40 47 45 47 13 46 41 46 07 45 33 44 58 44 22 43 45 43 °7 42 27 41 47 1 41 °5 50 45 56 45 24 44 52 44 20 43 48 43 14 42 40 42 04 41 27 40 50 40 11 39 31 8 OO lO 44 °5 42 15 43 35 41 47 43 °5 41 18 42 34 40 48 42 03 40 18 41 3i 39 47 40 57 39 15 40 23 3843 39 48 38 09 39 12 37 34 38 35 36 59 37 56 36 22 34 48 8 00 10 20 30 40 50 20 40 25 39 58 39 3° 39 ° 2 38 34 38 04 37 33 37 °2 36 30 35 57 35 23 30 38 35 38 09 37 43 37 16 '36 49 36 20 35 5i 35 21 34 5° 34 19 33 47 33 14 40 36 45 36 20 35 55 35 3° 35 °4 34 37 34 09 33 41 33 12 32 42 32 12 31 4° 30 06 50 34 56 34 32 34 °8 33 43 33 18 32 53 32.27 32 00 3 1 33 31 °4 3° 35 9 OO 10 20 33 °5 31 16 29 26 27 36 32 43 3° 55 29 06 32 20 30 34 28 46 31 57 30 12 28 26 31 34 29 5° 28 05 31 09 29 27 27 43 3° 44 29 03 27 21 30 19 28 39 26 58 29 53 28 14 26 35 29 27 27 49 26 12 29 00 27 24 25 47 28 32 26 56 25 22 9 00 . 10 20 30 40 50 30 27 17 26 58 •26 39 26 19 25 59 25 39 25 18 24 56 24 33 22 56 21 18 24 10 23 47 40 SO 25 46 23 56 25 29 23 4° 25 II 23 24 24 53 23 07 24 35 22 50 24 16 22 33 23 57 22 15 23 37 21 56 23 17 21 37 22 35 20 58 22 12 20 38 lO OO 10 20 22 06 20 16 18 26 21 51 20 02 18 14 21 36 19 48 18 01 21 21 19 34 17 48 21 05 19 20 17 35 20 49 19 °5 17 21 20 33 18 50 17 07 20 16 18 34 16 53 18 18 16 39 19 4° 18 02 16 25 19 22 17 46 16 09 19 °3 17 29 15 53 14 18 12 43 11 08 10 00 10 20 30 40 50 30 40 50 1636 14 45 12 54 16 25 14 35 12 46 16 14 14 25 12 37 16 02 14 15 12 28 15 5° 14 04 12 19 15 38 13 53 12 10 15 25 13 42 12 00 15 I 2 13 31 11 5° 14 59 13 20 II 39 14 46 13 °8 n 29 14 32 12 56 11 19 11 OO 10 20 30 40 50 12 OO 11 03 9 13 7 23 5 32 3 4i 1 51 00 10 56 9 °7 7 18 5 28 3 39 1 49 00 10 49 9 01 7 13 3 36 1 48 00 IO 41 8 55 7 07 5 21 3 34 1 46 00 10 33 8 48 7 02 5 17 3 32 1 45 00 10 25 8 41 6 57 5 13. 3 29 I 44 00 10 17 8 34 6 52 5 09 3 26 1 42 00 10 09 8 27 6 46 5 °5 3 23 1 41 00 10 00 8 20 6 40 5 o° 3 20 1 40 00 9 51 8 13 6 34 4 5° 3 17 1 39 00 9 42 8 05 6 28 4 5i 3 14 1 37 00 9' 33 7 57 6 22 4 47 3 11 I 36 00 11 OO 10 20 30 40 SO 12 00 w J n «s^^^ North ; and 276 AZIMUTH OR TRUE BEARING. LATITUDE 67°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 67°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. b. in. o / /• / i / / / O I / / / ll. 111. OO 180 cm 180 00 180 00 180 00 180 00 180 00 180 00 00 00 00 00 10 169 49 168 31 166 43 164 04 159 48 151 54 133 56 88 51 42 35 23 56 15 49 IO 20 160 04 157 40 154 26 149 52 143 03 132 13 114 19 87 42 60 06 40 49 29 06 20 30 151 02 147 51 143 43 138 10 130 31 "9 47 105 02 8633 67 21 51 °6 39 °4 30 40 142 55 139 16 134 40 128 49 121 15 I" 34 99 27 85 24 70 47 57 20 46 08 40 50 135 43 131 5° 127 07 12 1 20 "4 15 105 41 95 34 84 15 72 27 - 61 09 >5i °5 SO 1 00 129 22 125 27 120 48 115 18 108 47 101 II 92 33 83 05 73 14 63 33 ^32 1 OO 10 "3 47 "9 55 115 26 no 16 104 20 97 35 90 03 81 56 73 28 65 03 5658 IO 20 118 50 "5 °5 no 50 106 01 100 35 94 32 87 53 80 47 73 23 65 55 5838 20 30 114 24 no 49 106 48 102 19 97 20 91 52 85 57 79 37 73 °3 66 22 59 46 30 40 no 26 107 01 103 14 99 04 94 28 89 30 84 08 78 28 72 33 66 31 60 29 * 40 50 106 51 103 36 100 02 96 08 91 55 87 21 82 28 77 18 7i 56 66 26 60 54 50 2 00 103 32 100 27 97 06 93 28 89 33 85 21 80 52 76 09 71 14 66 n 61 05 2 00 10 100 30 97 35 94 25 91 00 87 22 83 28 79 20 74 59 70 28 65 47 61 03 IO 20 97 4i 94 54 91 55 8843 85 18 81 41 77 5° 73 49 69 38 65 18 60 53 20 30 95 01 92 24 89 34 8633 83 22 79 58 76 23 72 39 68 44 64 42 60 35 30 40 92,32 90*10 90 02 87 47 87 21 84 31 81 30 78 19 74 58 71 29 67 50 64 °3 60 11 40 50 85 15 82 33 79 44 76 44 73 35 70 18 66 53 63 20 59 42 50 3 00 87 55 85 38 83 14 80 42 78 01 75 11 72 13 69 08 65 55 62 34 59 °8 3 OO io 85 44 83 35 81 17 78 53 76 20 73 40 70 52 67 57 64 54 61 45 58 31 IO 20 83 40 81 36 79 24 77 07 74 43 72 10 69 32 66 46 63 54 60 55 57 5" 20 30 81 39 79 41 77 36 75 24 73 08 70 43 68 12 65 35 62 51 60 01 57 07 30 40 79 43 77 48 77 49 75 50 73 44- 71 34 69 17 6653 64 24 61 49 59 °7 56 20 40 50 76 00 74 06 72 07 70 02 67 51 65 34 63 12 60 44 58 II 55 32 SO 4 OO 75 58 74 14 .. 72 24 70 30 68 31 66 26 64 16 62 01 59 40 57 13 54 42 4 OO IO 74 09 72 29 70 45 68 55 67 01 65 03 6258 60 49 58 34 56 15 53 50 IO 20 72 23 70 47 69 07 67 22 65 34 63 39 61 40 59 37 57 28 55 14 52 56 20 30 7<>38 69. 07 67 30 65 5° 64 06 62 16 60 23 58 24 56 22 54 14 S 2 01 30 40 68 56 67 28 65 55 64 19 62 39 60 54 59 05 57 12 55 14 53 12 51 06 40 SO • 67 15 65 50 64 21 62 49 61 12 59 32 57 48 55 59 54 06 52 09 50 08 50 5 OO 65 35 64 13 62 47 61 19 59 46 5» 21 58 10 56 30 54 46 52 58 51 06 49 09 5 00 IO 63 57 62 37 61 15 59 49 58 21 56 49 55 13 53 33 51 49 50 01 48 09 IO 20 62 19 61 02 59 43 5656 55 27 53 55 52 19 50 40 4856 47 09 20 30 60 41 , 59 28 58 12 56 53 55 31 54 06 5238 51 05 49 3° 47 51 46 08 30 40 59 05 57 54 56 42 55 25 54 06 52 45 51 19 49 51 4837 48 19 46 43 45 05 40 50 57 30 56 22 55 12 53 58 52 42 51 24 50 02 47 09 45 37 44 02 50 6 OO 55 54 54 49 53 4i 52 31 51 18 50 02 48 44 47 22 45 58 44 29 42 58 6 OO 10 54 20 53 17 52 11 51 °4 49 54 48 41 47 26 46 07 44 46 43 21 41 53 10 20 52 47 51 46 50 43 49 38 48 31 47 20 46 08 44 52 43 34 42 12 40 48 20 30 51 13 50 14 49 14 48 n 47 06 45 59 44 49 43 37 42 22 41 04 39 43 30 40 49 39 48 42 47 45 46 44 45 42 44 38 43 30 42 21 41 09 39 54 3836 40 50 48 06 47 11 46 16 45 18 44 18 43 16 42 12 4i 05 39 56 38 44 37 29 50 7 00 46 33 45 41 44 48 43 52 42 54 41 55 40 53 39 49 38 43 37 33 36 22 7 00 10 45 00 44 10 43 19 42 25 41 30 40 33 39 33 38 32 37 29 36 23 35 14 IO 20 43 27 42 40 41 5° 40 59 40 06 39 11 38 15 37 16 36 14 35 11 34 °5 20 30 41 55 41 09 40 21 39 32 3842 37 50 36 55 35 59 35 01 33 59 32 57 30 40 40 23 39 38 38 53 38 06 37 18 36 27 35 35 34 41 33 45 32 47 31 48 40 50 38 51 38 08 37 24 36 39 35 54 35 06 34 16 33 24 32 30 31 '35 30 37 50 8 00 37 18 3° 37 35 56 35 13 34 28 33 42 32 54 32 06 3i 15 30 22 29 27 8 OO 10 35 46 35 07 34 27 33 46 33 °4 32 20 31 34 30 48 29 59 29 08 28 16 IO 20 34 12 33 30 32 58 32 19 31 39 30 57 30 14 29 30 28 43 27 55 27 05 20 30 32 41 32 06 31 3° 30 52 30 14 29 34 28 53 28 II 27 27 26 41 25 54 30 40 31 08 30 34 30 00 29 25 28 49 28 11 27 32 26 52 26 10 25 27 24 43 40 50 29 35 29 03 28 31 27 58 27 23 26 48 26 11 25 33 24 54 24 13 23 30 50 9 00 28 03 27 33 27 02 26 31 25 58 25 24 24 49 24 14 23 37 22 58 22 18 9 00 10 26 30 26 02 25 32 25 02 24 32 24 00 23 28 22 54 22 20 21 43 21 06 IO 20 24 57 24 30 24 03 23 35 23 07 22 37 22 06 21 34 21 01 20 28 19 53 20 30 23 24 22 59 22 33 22 07 21 41 21 13 20 45 20 15 19 44 19 12 18 39 30 40 21 5° 21 27 21 04 20 39 20 14 19 49 19 22 18 54 18 26 17 56 17 26 40 50 20 18 19 57 19 35 19 12 18 48 18 24 18 00 17 34 17 08 16 40 ■ 16 II 50 10 00 18 '44 18 25 18 04 17 43 17 22 17 00 16 37 16 14 15 50 15 24 14 58 10 00 10 17 10 16 52 16 34 16 15 15 56 15 35 15 14 14 53 14 31 14 08 13 44 IO 20 15 37 15 21 15 °4 14 47 14 29 14 n 13 52 13 33 13 13 12 52 12 30 20 30 14 05 13 50 13 34 13 18 13 °2. 12 46 12 29 12 12 11 53 II 34 II 15 30 40 12 30 12 17 12 04 11 50 II 36 11 21 11 06 10 51 10 35 10 18 10 01 40 50 10 56 10 45 10 34 10 22 10 IO 9 57' 9 44 9 30 9 16 9 01 845 50 11 00 9 23 9 13 9 °3 8 53 8 43 8 32 8 20 8 08 7 56 7 44 7 31 11 00 10 7 50 7 42 7 33 7 24 7 15 7 06 6 57 6 47 6 37 6 26 6 16 10 20 6 16 6 09 6 02 5 55 548 5 4i ' 5 34 5 26 5 18 5 10 5 01 20 30 4 42 4 37 4 32 4 27 4 22 4 16 4 10 4 04 3 58 3 52 3 46 30 40 3 08 3 05 3 01 2 57 2 54 2 51 2 47 2 43 2 39 2 35. 2 30 40 50 1 34 1 32 1 31 1 29 1 27 1 25 1 23 1 21 1 19 1 17 1 16 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and ■when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 277 AZIMUTH OR TRUE BEARING. LiATITUDE 68°. DECLINATION— SAME NAME AS— LATITUDE. 1.ATITTJDE 68°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. li. in. o / / / / / r / / / / ' 1 li. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 lO 176 43 176 41 176 38 176" 36 176 34 176 31 176 29 176 27 176 24 176 20 176 15 176 10 lO 20 173 26 173 22 173 17 173 13 173 08 173 04 172 58 172 53 172 47 172 42 172 36 172 3° 20 30 170 09 17& 04 169 58 169 51 169 44 169 36 169 29 169 22 i6q 13 169 04 168 55 168 46 30 40 166 54 166 46 166 38 166 29 166 19 166 10 166 00 165 50 165 39 162 08 165 28 165 16 165 04 40 50 163 40 163 3° 163 20 163 08 162 57 162 45 162 33 162 21 161 54 161 39 161 24 50 1 OO 160 27 160 15 160 03 159 50 159 37 159 23 159 °9 158 54 15838 158 22 158 05 157 46 1 OO .10 157 15 157 02 156 48 156 34 . 156 18 156 03 155 46 155 29 155 11 154 52 154 32 154 11 10 20 20 154 07 153 51 153 35 153 19 153 °2 152 44 152 25 152 06 151 46 151 26 151 °4 150 41 30 150 59 150 42 150 25 150 06 149 48 149,28 149 08 148 47 148 24 148 02 147 38 147 14 30 40 .147 54 147 36 147 16 146 56 146 36 146 15 145 54 145 31 145 "6 144 42 144 16 143 5° 40 50 50 144 51 144 31 144 it 143 50 143 28 143 °6 142 42 142 18 141 52 141 26 140 58 14° 30 2 OO 141 50 141 29 141 08 140 45 140 22 139 58 139 34 139 08 138 41 138 13 137 44 137 14 2 00 10 20 30 40 50 10 138 53 13 8 3° 138 07 137 44 137 20 136 55 136 28 136 01 135 33 135 °5 134 35 134 03 20 135 56 135 33 135 10 134 45 134 20 133 53 133 27 132 59 132 29 131 59 131 28 13° 55 30 '33 04 132 40 132 15 131 49 131 23 130 55 130 28 129 59 129 29 128 57 128 25 127 52 40 130 13 129 48 129 22 128 56 128 29 128 01 127 32 127 03 126 31 125 59 125 26 124 52 50 127 25 127 00 126 34 126 06 125 3= 125 10 124 40 124 10 123 38 123 06 122 32 121 57 3 00 124 39 124 14 123 47 123 19 122 51 122 21 121 51 121 21 120 48 120 15 119 41 119 °5 3 OO 10 20 30 40 50 lO 121 56 121 30 121 02 120 34 120 06 "9 35 119 05 118 34 118 01 117 27 116 52 116 17 20 119 16 118 48 118 21 "7 52 117 23 116 53 116 22 "5 5° »5 17 "4 43 114 08 113 32 30 116 37 116 10 115 42 "5 13 "4 44 "4 13 113 42 113 i° 112 36 112 02 III 27 no 50 40 114 02 "3 34 "3 °5 112 35 112 05 HI 35 III 04 no 32 109 58 109 24 108 49 108 13 50 in 27 no 59 no 31 no 01 109 31 109 00 108 29 107 56 107 22 106 48 106 13 i°5 38 4 00 108 56 108 27 107 58 107 29 106 59 106 28 105 57 i°5 25 104 51 104 17 103 41 i°3 °5 4 00 10 20 30 40 50 10 106 24 105 57 105 28 i°4 59 104 29 103 57 103 25 102 53 102 20 101 46 101 II 100 35 98 08 20 103 57 103 28 102 59 102 30 102 00 101 29 100 58 100 26 99 52 99 l8 98 44 30 101 30 101 02 100 33 100 04 99 34 99 03 98 32 98 00 97 27 9° 53 96 18 95 44 40 99 06 98 37 98 09 97 40 97 1° 96 39 96 08 95 37 95 04 94 30 93 56 93 20 50 96 42 96 14 95 46 95 17 94 47 94 16 93 45 93 14 92 41 92 08 91 34 01 00 5 OO 94 20 93 52 93 24 92 54 92 24 91 54 91 24 90 53 90 21 89 48 89 14 88 40 86 23 5 00 10 20 30 40 50 lO 92 00 91 32 91 °3 9° 34 90 05 89 35 89 05 88 34 88 02 87 3° 86 57 20 89 40 89 12 88 44 88 16 87 47 87 17 86 47 86 17 85 46 85 14 84 41 84 08 30 87 21 86 54 86 27 8558 85 29 85 00 84 30 84 00 83 3° 82 58 82 26 81 53 40 85 03 84 36 84 09 83 4i 83 13 82 44 82 15 81 46 81 15 80 44 80 12 79 4° 50 82 48 82 21 81 54 81 26 80 58 80 29 80 01 79 32 79 02 78 32 78 01 77 29 6 OO 80 32 80 06 79 39 79 12 78 44 78 16 77 48 77 20 76 50 76 20 75 49 75 18 6 OO 10 20 30 40 50 10 78 17 77 5" 77 24 76 57 76 30 76 03 75 35 75 °7 74 38 74 09 73 39 73 °9 20 76 03 75 38 75 12 74 45 74 18 73 51 73 24 72 56 72 28 71 59 71 30 71 00 68 51 66 44 30 73 49 73 24 72 58 72 32 72 06 71 39 7i 13 70 46 70 18 69 49 69 20 40 71 35 71 10 7° 45 70 20 69 54 69 28 69 02 68 36 1 68 09 67 41 67 13 50 69 22 68 58 68 34 68 09 67 44 67 18 66 52 66 26 66 00 65 33 65 06 64 38 7 00 67 10 66 47 66 22 65 57 65 33 65 08 64 43 ■ 64 18 63 52 63 25 62 59 62 32 60 26 58 20 56 15 7 00 10 20 30 40 50 lO 64 57 °4 34 64 10 63 46 63 22 62 58 62 34 62 10 61 44 61 18 60 52 5846 56 41 20 62 45 62 23 62 00 61 37 61 13 60 49 60 25 60 01 59 36 59 " 30 60 33 60 n 59 49 59 26 59 °3 58 40 58 17 57 53 57 29 57 "5 40 58 22 57 59 57 37 57 15 56 53 56 31 56 09 ■55 46 55 22 53 16 54 59 54 35 54 1° 50 56 09 55 49 55 27 55 °6 54 44 54 22 54 01 53 39 52 53 52 3° 52 07 8 OO 53 57 •53 36 53 16 52 56 52 35 52 13 51 52 51 30 51 08 50 46 48 41 46 36 50 24 48 20 46 15 50 01 47 58 45 54 8 OO lO lO 20 51 45 49 33 51 25 49 14 51 05 48 55 5° 45 48 35 50 25 48 15 50 04 47 55 49 44 47 36 49 23 47 16 49 °2 46 56 20 30 40 50 30 47 21 47 02 46 43 46 24 46 05 45 46 45 28 45 °9 44 49 44 29 44 °9 43 49 40 45 °8 44 5° 44 32 44 14 43 56 43 37 43 19 43 °i 42 42 . 40 36 42 23 42 04 4 1 45 SO 42 55 42 38 42 21 42 04 41 47 41 28 41 II 40 54 40 17 39 59 39 41 9 00 lO 40 41 38 28 40 25 38 13 40 09 37 57 39 52 37 42 39 35 37 26 39 19 37 °9 39 °3 36 53 38 46 36 37 38 29 36 21 38 12 36 05 37 54 35 48 37 36 35 32 33 28 9 00 10 20 30 40 50 20 36 '4 36 00 35 45 35 3° 35 15 35 °° 34 45 34 3° 34 15 33 59 33 44 31 38 30 34 °° 33 47 33 33 33 19 33 05 32 5° 32 36 32 22 32 07 31 53 29 46 31 23 29 18 40 31 46 31 33 31 20 31 °7 3° 53 30 40 30 27 30 13 29 59 29 32 27 26 SO 29.32 29 19 29 07 28 54 28 42 28 30 28 18 28 05 27 52 27 40 27 13 lO OO 27 16 27 °5 26 54 26 42 26 31 26 19 26 08 25 57 25 45 25 33 23 26 21 18 25 21 25 °9 10 00 10 20 30 40 50 lO 20 25 00 22 46 24 50 22 36 24 40 22 27 24 30 22 17 24 19 22 08 24 °9 21 58 23 58 21 48 23 47 21 38 23 37 21 28 23 *4 21 09 23 °3 20 59 18 53 16 47 14 42 30 20 30 20 22 20 13 20 04 19 55 19 46 19 38 19 29 19 20 19 11 19 02 16 56 40 18 14 18 07 17 59 17 51 17 43 17 35 17 27 17 19 17 12 17 °4 14 56 50 15 58 15 51 15 44 15 38 15 31 15 24 15 17 15 10 15 °3 14 49 11 00 13 42 13 36 13 30 13 M 13 18 13 12 13 °6 13 °° 12 54 12 48 12 42 12 36 11 00 lO 20 30 40 10 II 25 11 20 11 15 II 10 11 05 11 00 10 56 10 51 10 46 10 40 10 35 8 29 6 22 4 14 2 07 00 10 30 8 24 6 18 4 12 2 06 00 20 9 08 9 04 9 00 8 57 8 53 8 48 844 841 8 37 8 33 6 25 4 16 2 08 00 30 651 6 48 6 45 6 42 6 39 6 36 6 33 6 30 6 27 4 18 2 09 00 40 50 12 OO 4 34 2 17 00 4 32 2 16 00 4 30 2 15 00 4 29 2 14 00 4 27 2 13 00 4 25' 2 12 00 4 22 2 II 00 4 20 2 10 00 50 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latltndc, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East: and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and 'declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 278 AZIMUTH OR TRUE BEARING. LATITUDE 68°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 68". Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. It. in. o / / / / / / / / / / / / It. in. O OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 176 12 176 08 176 04 176 00 175 55 175 51 175 46 175 4i 175 35 175 29 175 22 175 15 10 20 172 23 172 15 172 08 172 00 17.1 52 171 43. 171 33 171 22 171 11 170 59 170 46 170 31 20 30 16835 168 26 168 14 168 02 167 49 167 36 167 22 167 06 166 49 166 31 166 12 165 51 30 40 164 51 164 37 164 22 164 06 163 50 163 32 163 13 159 08 162 53 162 31 162 08' 161 42 161 15 40 50 161 07 16° 51 160 33 160 13 159 53 159 32 158 43 158 17 157 49 157 17 156 44 50 1 00 157 27 157 08 156 46 156 24 156 00 155 35 155 08 154 39 154 ° 8 153 35 152 59 152 21 1 00 10 153 50 153 28 153 03 152 38 152 11 151 42 151 12 150 4° 150 05 149 27 148 47 148 04 IO 20 150 17 149 51 149 24 148 56 148 27 147 55 147 21 146 46 146 08 145 27 144 43 143 56 20 30 146 47 146 19 145 50 145 19 144 47 144 13 143 36 142 58 142 17 141 33 140 46 139 55 30 40 143 21 142 51 142 21 141 47 141 13 140 36 13? 57 139 16 138 33 137 47 136 57 136 at 40 50 140 00 139 29 138 56 138 21 137 44 137 05 136 24 135 42 134 56 134 07 133 15 132 21 50 2 00 136 43 136 09 135 34 134 58 134 20 133 4° 132 57 132 12 131 25 130 35 129 41 128 44 2 00 10 133 30 132 55 132 19 129 08 131 42 131 02 130 20 129 37 128 51 128 01 127 10 126 15 125 17 10 20 130 21 129 45 128 30 127 49 127 07 126 21 125 34 124 44 123 52 I22 56 121 57 20 30 127 17 126 40 126 02 125 22 124 41 : 123 57 123 11 122 24 121 33 120 40 119 43 118 44 30 40 124 16 123 39 123 00 122 20 121 38 120 53 120 07 119 18 118 27 "7 34 116 37 "5 39 40 50 121 20 120 43 120 04 119 22 118 39 "7 55 117 09 116 20 115 28 "4 34 113 38 112 39 50 3 OO 118 29 117 50 117 10 116 29 115 46 115 or 114 14 113 26 112 34 in 41 no 45 109 46 3 OO 10 115 40 115 01 114 21 "3 39 112 56 112 11 in 24 11° 35 l°9 45 108 52 107 56 106 56 10 20 112 55 112 16 III 36 no 54 no 11 109 26 108 39 107 51 107 00 106 07 105 n 104 14 20 30 no 13 109 35 10854 108 13 107 30 106 45 i°5 59 105 10 104 20 103 27 102 32 101 35 30 40 107 35 106 57 106 16 IP5 34 104 52 104 07 103 22 102 34 101 43 100 51 99 57 98 01 40 50 105 00 104 21 103 41 103 00 102 18 101 34 100 48 100 00 99 11 98 20 97 27 96 31 50 4 00 102 28 101 50 101 10 100 29 99 47 99 03 98 17 97 31 96 43 95 53 95 00 94 06 4 OO 10 99 58 99 20 98 40 98 00 97 18 96 35 95 50 95 05 94 17 93 27 92 35 91 42 10 20 97 3i 9 6 53 96 14 95 34 94 53 94 10 93 26 92 41 91 54 91 °5 88 47 90 14 89 23 20 30 95 06 94 29 93 51 93 12 92 3° 91 48 91 05 90 21 89 35 87 57 87 06 30 40 92 45 92 07 91 29 90 50 90 10 89 29 88 46 88 02 87 17 86 30 85 42 84 52 40 50 90 25 89 48 89 11 88 32 87 53 87 II 86 30 85 47 85 02 84 16 83 28 82 39 50 5 00 88 06 87 3° 86 53 86 15 85 36 84,56 84 14 83 32 82 49 82 04 81 17 80 30 5 00 10 8548 85 13 84 37 S3 59 83 21 82 42 82 02 81 21 8037 79 53 79 08 78 22 10 20 83 34 I 25 ? 82 23 81 46 81 09 78 58 80 31 79 5i 79 10 78 29 77 46 77 02 76 17 20 30 81 20 80 46 80 10 79 34 78 20 77 42 77 02 76 21 75 39 74 56 74 11 30 40 79 07 78 34 77 59 77 24 7648 76 II 75 33 74 55 74 15 73 34 72 51 72 09 40 50 76 57 76 24 75 5° 75 15 74 40 74 °* 73 27 72 50 72 n 71 31 70 49 70 07 50 6 00 74 46 74 14 73 41 73 °8 72 33 71 58 71 22 7° 45. 70 07 69 28 68 48 68 07 6 00 10 72 37 72 06 71 33 71 00 70 26 69 52 69 17 68 41 68 04 67 26 66 47 66 07 IO 20 70 29 69 59 69 28 68 55 68 22 67 48 67 14 66 39 6438 66 03 65 26 64 48 64 10 20 30 68 22 67 52 67 21 66 50 66 18 65 45 • 65 12 64 03 63 27 62 50 62 12 30 40 66 13 65 45 65 15 64 45 64 14 63 42 63 09 • 62 36 62 03 61 28 60 52 60 15 40 50 64 10 63 41 63 12 62 42 62 11 61 40 61 08 60 36 60 03 59 3° 58 55 58 20 50 7 00 62 04 61 36 61 08 60 39 60 09 59 39 59 08 58 37 58 05 57 33 56 59 56 24 7 00 10 59 58 59 32 59 04 5836 5807 57 38 57 08 5638 56 P7 55 35 55 03 54 3° 10 . 20 57 54 57 28 57 01 56 33 56 05 55 37 55 oS 54 39 54 °9 53 39 5308 52 36 20 30 55 50 55 25 54 59 54 32 54 05 53 37 53 °9 52 41 52 12 51 42 51 11 50 40 30 40 53 46 53 22 52 57 52 31 52 05 51 38 51 11 50 44 50 16 49 47 49 17 48 47 40 50 51 43 51 19 50 55 5° 30 5° 05 49 39 49 13 48 46 48 19 47 52 47 24 46 55 50 3 OO 49 39 49 16 48 52 48 27 48 03 47 39 47 14 46 48 46 22 45 56 45 29 45 02 8 00 10 47 36 47 14 46 51 46 27 46 04 45 4° 45 16 44 51 44 27 44 02 43 35 43 08 10 20 45 32 45 10 44 49 44 27 44 °5 43 42 43 18' 42 54 42 30 42 06 41 41 41 17 20 30 43 29 43 08 42 47 42 26 42 04 4i 43 41 21 40 58 40 35 40 12 39 48 39 24 30 40 41 26 41 06 40 45 40 25 40 05 39 44 39 23 39 01 38 39 38 17 37 54 37 31 40 50 39 22 39 03 38 44 38 25 3805 37 45 37 25 37 05 36 44 36 23 36 01 35 39 50 9 OO 37 18 37 01 36 43. 36 24 36 05 35 46 35 27 35 08 34 48 34 28 34 07 33 46 9 00 10 35 15 34 58 34 41 34 24 34 06 33 48 33 29 33 11 32 53 32 34 32 14 31 54 IO 20 33 12 32 56 32 40 32 23 32 06 31 49 31 32 31 15 30 57 30 39 30 20 30 02 20 30 31 °9 3° 53 30 37 30 22 30 06 29 5° 29 34 27 36 29 18 29 02 28 44 28 27 28 10 30 40 29 04 28 50. 28 35 28 21 28 07 27 52 27 21 . 27 05 26 50 26 34 26 17 40 50 27 00 26 48 26 34 26 20 26 06 25 53 25 38 25 24 25 10 24 55 24 40 24 25 50 10 00 24 57 24 45 24 32 24 19 24 07 23 54 23 41 23 28 23 14 23 01 22 47 22 33 10 00 10 22 52 22 41 22 20 22 18 22 06 2r 54 21 43 21 30 21 18 21 06 20 53 20 40 10 20 20 48 20 38 20 28 20 17 20 06 19 55 1944 19 34 19 23 19 12 19 00 18 48 20 30 1843 18 34 18 25 18 15 18 06 17 56 17 47 1548 17 37 17 26 17 16 17 06 16 56 30 40 16 39 16 31 16 22 16 14 16 05 15 56 15 39 15 30 15 21 15 12 15 02 40- 50 14 35 14 27 14 20 14 12 14 °5 13 57 13 49 13 42 13 34 13 26 13 18 13 09 50 11 OO 12 30 12 23 12 17 12 10 12 04 11 58 11 5i 11 45 11 38 11 31 II 24 11 16 11 OO 10 10 26 10 20 10 15 10 09 10 04 9 58 9 53 9 48 9 42 9 36 9 3° 9 25 IO 20 8 21 8 16 8 11 8 07 8 03 7 59 1$ 7 50 7 46 7 41 7 36 7 32 20 30 6 15 6 12 6 09 6 06 6 03 6 00 5 52 5 49 5 45 5 42 5 38 30 40 4 10 4 08 4 06 4 04 4 02 3 59 3 57 3 55 3 5? 3 51 3 49 3 46 40 50 2 05 2 04 2 03 2 02 2 01 t 59 1 58 I 57 1 56 1 55 1 54 1 53 50 12 OO o'oo 00 00 00 00 00 00 00 00 00 00 00 12 00 ' 1 In North latitude, -when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East- and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, .the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 279 AZIMUTH OR TRUE BEARING. LATITUDE 68° DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 68°. Hour Angle. 49° 50° 51° o / / 180 oo 180 00 174 48 174 38 169 39 169 17 164 34 164 03 159 35 158 55 154 44 153 56 150 03 149 07 145 31 144 31 141 10 140 04 136 59 135 50 132 58 131 47 129 10 127 56 125 29 "4 15 121 59 1 120 43 nS 38 ■ 117 22 115 24 114 09 112 19 in 04 109 21 108 07 106 29 i°5 17 i°3 43 102 32 101 03 99 52 98 28 97 18 52° 53° 55° 56° 57° 58° 59° Hour Angle. li. 10 11 13 in. 00 10 20 30 40 50 00 lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO lO 20 30 40 50 00 180 00 175 06 170 16 . 165 27 160 44 156 08 151 39 147 13 '43 °5 139 01 135 07 131 21 127 44 124 15 120 55 fi7 41 114 36 in 36 108 43 i°5 5° 103 13 100 36 98 02 95 34 93 °9 90 47 88 28 86 13 84 00 81 49 79 4i 77 34 75 29 73 26 71 24 69 24 67 25 65 27 63 30 61 34 59 39 57 43 55 50 53 56 52 02 50 10 48 18 46 26 44 33 42 42 40 50 38 59 37 °7 35 16 33 25 31 34 29 43 27 51 26 00 24 09 22 18 20 27 18 35 16 44 14 52 13 01 180 00 174 58 169 58 165 02 160 II 155 28 15° 52 146 26 142 10 138 02 134 05 I30 17 126 38 123 09 119 48 »6 35 113 29 no 30 107 38 104 50 102 10 99 33 97 01 94 33 92 10 89 49 87 3i 85 17 83 06 80 56 78 48 76 44 74 4° 72 38 70 38 68 39 66 41 64 44 62 49 60 54 58 59 57 °6 55 13 53 20 51 28 49 37 47 46 45 55 44 °4 42 14 40 23 38 33 36 44 34 53 33 °3 31 13 29 24 27 33 25 43 23 54 22 03 20-13 18 23 16 33 14 43 12 53 II 10 n 02 9 18 9 12 7 27 7 22 5 35 5 31 3 43 . 3 40 1 52 1 51 00 00 95 57 93 3° 91 08 88 48 8633 84 20 82 10 80 02 77 56 75 52 73 50 71 49 69 50 67 53 65 57 64 01 62 07 60 13 5? '9 54 36 52 44 5° 54 49 °4 47 14 45 24 43 35 41 46 39 56 38 07 36 19 34 3° 32 41 30 52 29 °4 27 15 25 26 23 38 21 48 19 59 18 II 16 22 H 33 12 44 TO 54 9 06 7 17 5 27 3 38 1 49 o 00 99 52 97 18 94 49 92 24 90 04 87 46 85 32 83 21 81 12 79 06 77 01 74 59 72 5» 70 59 69 02 67 06 6=1 10 63 17 61 24 59 3i 57 39 55 48 53 58 52 o.S 50 18 48 30 46 42 44 53 43 05 41 17 39 29 37 4i 35 54 34 06 32 19 3° 31 28 44 26 56 25 09 23 21 21 33 19 46 17 59 16 II 14 24 12 35 10 47 9 00 7 12 5 24 3 36 I 4« 00 180 00 174 25 168 54 163 28 158 10 153 03 148 07 143 24 138 53 134 35 130 30 126 36 122 54 119 23 116 01 112 49 i°9 45 106 49 103 59 101 16 98 39 96 06 93 3? 91 16 88 58 86 41 84 29 82 19 80 12 78 07 76 04 74 04 72 05 70 07 68 12 66 17 64 23 62 31 60 40 5848 5658 55 °8 53 19 51 31 49 43 47 55 46 08 44 21 42 34 40 47 39 01 37 14 35 28 33 42 31 56 30 10 28 23 26 37 24 51 23 04 21 18 19 32 17 46 15 59 14 13 12- 26 10 40 853 7 07 5 20 3 34 1 47 o 00 180 00 174 12 168 27 162 49 157 20 152 04 146 59 142 TO 137 34 133 13 129 04 125 i'i 121 27 117 56 "4 35 in 23 108 21 105 26 102 38 99 57 97 21 94 52 92 25 90 04 87 48 85 33 83 23 81 14 79 09 77 07 75 05 73 07 71 10 69 14 67 19 65 27 63 34 61 43 59 54 5803 56 15 54 27 52 40 50 52 49 06 47 20 45 33 43 48 42 02 40 17 38 31 36 47 35 °2 33 17 31 32 29 47 28 02 26 18 24 33 22 47 21 03 19 18 17 33 15 47 14 02 12 17 10 32 8 47 7 02 5 16 3 31 1 45 00 180 00 173 56 167 57 162 05 156 24 150 56 145 44 140 48 136 07 131 43 127 32 123 36 119 53 116 22 113 03 109 52 106 51 103 58 101 12 98 33 96 00 93 31 91 08 88 49 86 34 84 22 82 14 80 08 78 05 76 03 74 04 72 07 70 13 68 18 66 25 64 34 62 44 60 54 59 06 57 18 55 31 5144 5i 58 50 12 48 27 46 43 44 58 43 14 41 29 39 46 38 01 36 18 34 35 32 51 31 08 29 24 27 41 25 57 24 14 22 29 20 46 19 03 17 19 15 35 13 51 12 08 10 24 8 40 656 5 12 3 28 1 44 o 00 180 00 173 39 167 21 161 14 155 19 149 41 144 20 139 17 134 31 130 02 125 50 121 54 118 II 114 42 III 23 108 14 105 15 102 24 99 4i 97 04 94 33 92 °7 89 47 8730 85 16 83 07 81 01 7858 7« 57 74 58 73 01 71 06 69 12 67 20 65 29 63 40 6l 51 60 04 58 17 56 30 54 45 53 01 51 16 49 31 47 48 46 05 44 22 42 39 40 56 39 14 37 31 35 49 34 07 32 25 30 43 29 00 27 18 25 36 23 54 22 11 20 29 18 47 17 05 15 23 13 40 II 58 10 15 8 34 6 50 5 07 3 25 I 43 00 180 00 173 17 166 41 160 16 154 06 148 15 142 44 137 34 132 43 128 12 123 59 120 03 116 20 112 52 109 36 106 30 103 32 100 45 98 05 95 30 93 02 90 39 88 21 86 07 8356 81 50 7946 77 45 75 46 73 50 71 "55 70 02 68 II 66 21 64 31 62 45 60 57 59 " 57 27 55 42 53 58 52 15 50 32 48 49 47 08 45 26 43 44 42 03 40 21 38 41 37 00 35 19 33 39 31 58 30 17 28 36 26 56 25 15 23 34 21 53 20 12 18 31 16 51 15 10 13 29 11 48 10 07 8 26 6 44 5 °3 3 22 I 41 o 00 180 00 172 53 165 53 159 08 152 42 146 37 140 56 135 38 130 43 126 10 121 57 118 01 114 20 110 54 107 41 104 37 101 44 98 59 96 22 93 50 91 26 89 07 86 51 84 40 82 34 80 29 78 28 76 30 74 33 72 40 70 46 68 56 67 07 65 19 63 32 61 46 60 02 58 17 56 34 54 52 53 10 5i 29 49 47 48 08 46 26 44 46 43 06 41 26 39 46 38 07 36 28 34 49 33 10 31 30 29 51 28 12 26 33 24 53 23 14 21 35 19 55 18 15 16 36 14 57 13 17 11 38 9 S8 8 18 6 38 4 59 3 19 1 40 00 180 00 172 24 164 57 157 4» 151 °i 144 42 138 51 133 27 128 28 123 54 119 40 115 46 112 08 108 45 105 35 102 36 99 47 97 06 94 32 92 05 89 44 87 28 85 17 83 09 81 05 79 03 77 05 75 10 73 16 71 24 69 35 67 46 66 00 64 14 62 29 60 47 59 03 57 21 55 41 53 59 52 19 50 40 49 00 47 22 45 42 44 04 42 25 40 48 39 10 37 32 35 55 34 17 32 39 31 02 29 24 27 46 26 09 24 31 22 53 21 15 19 38 17 59 16 21 14 43 13 05 11 28 9 49 8 n 6 33 4 54 3 16 I 38 00 180 00 171 49 16348 156 11 149 04 142 28 136 27 130 5° 125 55 121 21 117 10 113 19 109 44 106 26 103 21 100 26 97 4i 95 05 92 36 90 11 87 57 85 45 83 37 81 33 79 32 77 34 75 40 73 48 ' 71 57 70 08 68 20 66 35 64 51 63 07 61 25 59 45 58 03 56 23 54 45 53 06 51 28 49 50 48 12 46 35 44 5» 43 22 41 46 40 09 38 33 36 57 35 21 33 44 32 08 ll. o 3° 33 28 56 27 20 25 44 24 08 22 31 20 55 19 19 17 43 16 06 14 30 12 54 II 17 9 4i 8 03 6 27 4 50 3 13 1 37 00 10 12 111. 00 10 20 30 40 50 OO lO 20 30 40 50 OO lO 20 30 40 50 OO 10 20 30 40 50 OO 10 20 30 40 50 OO .10 20 30 40 50 OO lO 20 30 40 50 00 10 20 30 40 50 00 lO 20 30 40 50 00 10 20 30 40 50 OO 10 20 30 40 50 00 lO 20 30 40 50 00 In North latitude, when the star is rising or East of the meridian,. the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 280 AZIMUTH OR TRUE BEARING. LATITUDE 68°. DECLINATION— SAME NAME AS— LATITUDE. latitude; 68°. Hour An gle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. li. in. o / / t / / / / / / / / li. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 O OO io 171 °4 170 07 168 52 167 09, 164 36 160 28 152 49 135 07 88 50 41 21 22 58 10 20 162 25 160 37 158 19 155 12 150 45 144 04 133 21 "5 1° 8741 59 °4 39 32 20 30 154 14 151 49 148 43 144 40 139 12 131 37 120 50 I°5 43 86 31 66 33 49 53 30 40 146 41 143 48 140 14 135 42 129 52 122 18 112 27 99 59 85 22 70 08 5° 14 40 50 139 5° 136 41 132 5° 128 09 122 22 115 12 106 26 95 59 84 12 7i 55 60 n 50 1 00 133 3° 130 21 126 26 121 48 116 14 I°9 37 ioi 50 92 54 83 02 72 4° 62 42 1 00 10 128 03 124 44 120 52 116 22 III 07 105 04 9807 90 20 81 53 73 °3 °4 15" IO 20 123 02 "9 45 "5 59 in 42 106 48 101 14 94 59 88 07 80 43 73 00 65 12 20 30 118 30 115 17 in 40 107 36 103 02 97 5° 92 16 86 07 79 33 72 41 65 4.4 30 40 114 22 in 16 107 48 103 58 99 42 95 °° 89 51 84 17 78 23 72 13 65 55 40 50 no 36 i°7 37 104 20 100 42 96 43 92 22 87 39 82 35 77 13 71 38 65 52 50 2 00 107 07 104 16' 101 08 97 43 93 59 89 57 8536 80 58 76 03 70 55 65 39 2 OO „ 10 i°3 55 IOI II 98 12 94 59 91 29 87 44 83 42 79 24 74 53 70 10 65 17 10 20 100 55 98 18 95 29 92 26 89 08 85-38 81 53 77 54 73 42 69 20 64 49 20 , i 30 98 06 95 36 92 5° 90 02 8657 83 39 80 09 76 26 72 32 68 27 64 15 30 I 1 5'., . 40 95 27 93 °4 90 30 87 47 84 52 81 45 78 28 75 00 ,71 21 67 32 63 36 40 50 92 56 90 40 88 14 8538 82 53 79 57 7° 51 73 35 70 10 66 37 62 54 50 00 9° 33 88 22 86 03 83 35 8058 78 12 75 17 72 13 68 59 65 38 62 09 3 00 10 88 15 86 10 83 57 81 37 79 °7 76 30 73 45 7° 5i 67 48 64 38 61 21 10 20 86 03 84 03 81 56 79 42 77 21 74 52 72 14 70 46 69 30 66 37 63 38 60 30 20 30 S3 55 82 01 79 59 77 51 75 3° 73 15 68 09 65 26 62 35 59 38 30 40 81 52 80 01 78 06 76 03 73 55 71 40 69 18 66 49 64 14 61 32 58 43 40 50 79 52 78 06 7° 15 74 18 72 15 70 06 67 51 65 3° 63 02 60 28 57 48 50 4 00 77 5° 76 14 74 28 72 36 7° 38 68 35 66 26 64 12 61 50 59 23 56 51 4 OO IO 76 02 74 24 72 41 7° 54 69 02 67 04 65 01 62 52 60 38 58 18 55 52 10 20 74 10 72 36 7° 58 69 16 67 27 . °5 35 °3 37 61 34 59 26 57 12 54 53 20 30 72 21 7° 51 69 16 6738 °5 54 64 07 62 13 60 16 58 13 56 06 53 52 30 40 70 33 ■69 07 673° 66 02 64 22 62 38 60 51 5858 57 00 54 58 52 5° 40 SO 68 48 67 24 °5 57 64 26 62 50 61 12 59 28 57 4° 55 47 53 5° 51 48 50 5 OO 67 03 °5 43 64 19 62 51 61 20 59 45 58 06 56 22 54 34 52 41 50 44 5 OO 10 65 20 64 03 62 42 61 18 59 5° 58 19 5° 43 55 05 53 21 51 33 49 4i 10 20 63 38 62 24 61 07 59 46 58 13 58 21 56 53 55 22 53 46 52 07 50 23 48 36 20 30 61 58 60 46 59 31 5° 52 55 28 54 00 52 28 5° 53 49 14 47 3° 30 40 60 18 59 °9 57 57 5° 42 55 24 54 03 52 38 51 11 49 39 48 04 46 23 40 . 50 58 39 57 33 5° 23 55 " 53 56 52 38 51 17 49 53 48 25 46 54 45 17 50 6 00 57 02 55 57 54 5° 53 4° 52 28 51 13 49 55 48 34 47 IP 45 42 44 1° 6 OO 10 55 24 54 22 53 17 52 10 51 01 49 49 48 34 47 l° 45 55 44 31 43 °2 IO 20 53 47 52 47 51 46 50 4i 49 34 48 25 47 13 45 58 44 40 43 19 41 55 20 30 52 11 51 12 50 13 49 « 48 07 47 °l 45 52 44 4° ' 43 24 42 06 4° 45 30 40 50 33 49 38 48 41 47 4i 46 40 45 3° 44 3° 43 21 42 09 4° 54 39 36 40 50 48 58 48 05 47 10 4° 13 45 13 44 12 43 °8 42 02 40 53 39 4i 38 27 50 7 00 47 23 46 32 45 39 44 44 43 47 42 48 41 47 40 43 39 37 38 28 37 17 7 OO IO 45 47 44 58 44 07 43 15 42 20 41 23 4° 25 39 24 38 20 37 14 36 05 10 20 44 13 43 25 42 3° 41 45 ' 40 53 39 59 39 °2 38 04 37 03 36 01 34 55 20 30 42 37 41 53 41 06 40 17 39 27 38 35 37 41 3° 45 35 47 34 46 33 43 30 40 41 °3 40 20 39 35 38 48 38 00 37 1° 3° 19 35 25 34 30 33 32 32 31 40 50 39 28 38 47 38 04 37 20 3° 34 35 46 34 57 34 °6 33 12 32 18 31 19 50 8 00 37 54 37 14 3° 33 35 51 35 °7 34 21 33 34 32 45 31 54 31 02 30 06 8 00 10 36 20 35 42 35 02 34 22 33 4° 32 57 32 12 31 25 3° 37 29 47, 2854 10 20 34 45 34 °9 33 31 32 53 32 13 31 32 3° 49 30 05 29 19 28 31 27 41 20 30 33 l° 32 3° 32 01 31 24 30 46 30 07 29 27 28 45 28 01 27 15 26 27 30 40 31 37 31 04 3° 3° 29 56 29 19 28 42 28 03 27 2- 26 42 25 59 25 14 40 50 30 02 29 31 28 59 28 26 27 52 27 17 26 41 26 03 25 23 24 42 24 00 50 9 00 28 27 27 59 27 29 26 57 26 25 25 51 25 17 24 41 24 04 23 26 22 46 9 00 10 26 52 26 25 25 57 25 28 24 58 24 26 23 54 23 21 22 46 22 09 21 31 10 20 25 19 24 53 24 26 23 59 23 30 23 °l 22 30 21 59 21 26 20 52 20 17 20 30 23 45 23 20 22 54 22 29 22 03 21 36 21 07 20 37 20 06 19 35 19 02 30 40 22 09 21 47 21 24 21 00 20 35 20 09 19 42 19 15 18 47 18 17 17 46 40 50 20 34 20 14 19 52 19 30 19 07 18 44 18 19 17 54 17 27 17 00 16 31 50 10 00 ig CI 18 41 ,18 21 18 01 17 39 17 17 '16 55 16 32 16 07. 15 42 15,16 IO OO IO 17 25 17 07 16 49 16 31 16 II 15 51 15 31 15 09 14 47 14 24 14 00 10 20 15 50 15 35 15 18 15 01 14 43 14 25 14 06 13 47 13 27 13 06 12 43 20 30 14 16 14 02 13 47 13 31 13 15 12 59 12 42 12 25 12 07 II 48 II 28 30 40 12 40 12 28 12 15 12 01 11 47 11 33 11 18 11 02 10 46 10 30 10 12' 40 50 II 06 10 55 10 44 10 31 10 18 10 06 9 53 9 40 9 26 9 12 8 56 50 11 00 9 3i 9 21 9 " 9 01 8 51 8 40 8 28 8 17 8 05 7 52 7 39 11 00 10 7 56 7 48 7 40 7 31 7 22 7 13 7 °4 °55 6 44 6 34 6 23 10 20 6 21 6 15 6 08 6 01 5 54 5 47 5 39 5 31 5 23 5 15 5 07 20 30 4 46 4 41 4 3° 4 31 4 25 4 20 4 14 4 08 4 03 3 57 3 5° 30 40 3 10 3 07 3 04 3 01 2 57 2 53 2 49 2 45 2 41 2 37 2 34 40 50 1 35 I 34 I 32 1 30 1 28 1 27 1 25 1 23 ' I 21 1 19 1 16 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In Horth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 281 AZIMUTH OR TRUE BEARING. LATITUDE 69°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 69°. Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. Ii. m. o ' / 1 / / / / / / / / / Ii. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 oo. 180 00 180 00 00 * S J2 176 46 176 44 176 43 176 40 17638 176 36 176 33 176 31 176 29 176 26 176 23 176 20 10 ao liti .;» 30 '73 33 173 29 173 25 173 21 173 17 173 12 173 08 173 °3 172 58 172 52 172 47 172 41 20 170 20 170 14 170 09 170 02 169 56 169 49 169' 42 169 36 169 28 169 20 169 11 169 04 30 fd:-- 40 167 07 167 00 166 52 166 44 166 36 166 27 166 18 166 09 165 59 165 49 16538 165 27 40 50 163 56 163 47 163 37 163 28 163 17 163 06 162 55 162 44 162 31 162 19 162 06 161 52 50 1 OO 160 47 160 35 160 24 1 60 12 160 00 159 48 159 34 159 21 159 °6 158 52 15835 155 08 158 19 1 00 10 157 38 157 26 157 13 156 59 156 45 15° 3° 156 15 155 59 155 43 155 26 154 49 lO 20 154 31 154 17 154 03 153 48 153 31 153 15 152 58 152 40 152 22 152 03 151 43 151 22 20 30 30 J51 26 151 II 150 54 150 37 150 20 150 02 149 44 149 24 149 04 148 43 148 21 147 57 40 1 48 22 148 06 147 48 147 30 147 11 146 52 146 32 146 10 145 48 145 26 145 02 144 37 40 SO 145 22 145 04 144 45 144 26 144 05 143 45 143 23 143 °° 142 3 6 142 13 141 47 141 20 50 3 00 142 23 142 04 141 44 141 23 141 01 140 39 140 16 139 52 139 27 139 °2 138 35 138 07 2 00 10 139 27 139 06 13845 138 23 138 00 137 37 137 13 136 48 136 22 135 54 135 27 134 58 10 20 30 40 50 20 136 32 136 11 135 48 135 26 135 "2 134 37 134 13 133 46 133 20 132 51 132 22 131 51 30 133 39 133 18 132 55 132 31 132 06 131 41 131 15 13° 47 130 20 129 51 129 20 128 49 40 130 50 130 27 130 03 129 39 I29 12 128 47 128 20 127 52 127 23 126 53 126 22 125 50 50 128 03 127 39 127 15 126 49 126 23 125 56 125 29 125 00 124 31 123 59 123 28 122 55 3 OO 125 18 124 54 124 23 124 02 123 35 123 08 122 39 122 10 121 41 121 09 120 37 120 03 3 OO lO 10 122 34 122 10 121 44 121 17 120 50 120 22 "9 53 119 24 118 53 118 21 117 49 117 15 20 "9 53 119 28 119 02 "8 35 118 07 '' 117 40 117 10 116 40 116 09 115 37 115 05 114 30 20 30 40 30 "7 15 116 50 nfi 23 "5 56 115 28 115 °° 114 29 "3 59 113 28 112 55 112 22 in 48 40 114 39 114 13 113 46 •113 18 112 50 112 22 III 51 in 21 no 50 no 17 109 43 109 09 50 H2 05 III 38 III 11 no 42 no 15 109 46 109 17 108 44 108 14 107 41 107 08 106 33 50 4 OO 109 32 109 06 108 38 108 10 107 41 107 12 '106 43 106 n 105 40 105 08 104 34 104 00 4 00 10 20 30 40 50 lO 107 00 106 34 106*07 105 39 105 10 104 41 104 II 103 40 103 08 102 36 102 03 101 29 20 104 31 104 65 103 38 103 10 102 40 102 12 101 42 101 II 100 40 100 07 99 34 99 00 30 102 05 101 38 101 10 100 43 100 13 99 45 99 14 98 43 98 13 97 4i 97 °8 96 34 40 99 39 99 13 98 45 98 17 97 48 97 20 96 50 96 19 95 48 95 16 94 43 94 1° 50 97 14 96 48 96 21 95 53 95 24 94 56 94 26 93 55, 93 25 92 53 92 21 91 48 5 00 94 51 94 25 93 58 93 30 93 01 92 33 92 04 91 33 91 03 90 32 89 59 89 27 5 00 10 20 30 40 50 10 92 29 92 03 91 36 91 09 90 40 88 20 90 13 89 43 89 13 88 43 88 11 87 41 87 08 20 90 09 89 43 89 16 88 49 87 52 87 24 86 54 8625 85 54 85 23 84 52 30 87 49 87 24 86 56 8630 86 01 85 34 85 06 84 3° 84 08 83 37 83 07 82 35 40 85 30 85 05 84 38 84 II 83 44 83 17 82 49 82 19 81 52 81 21 8651 80 21 50 83 13 82 48 82 22 81 56 81 28 81 02 80 34 80 05 79 37 79 °7 78 38 78 07 6 OO 80 56 80 31 80 06 79 39 79 12 78 46 78 18 77 5° 77 23 76 54 76 25 75 55 00 lO 20 30 40 50 10 78 39 78 15 77 5° 77 23 76 57 76 31 76 05 75 37 75 1° 74 41 74 13 73 44 20 76 25 76 00 • 75 35 75 10 74 44 74 18 73 53 73 25 72 58 72 31 72 03 71 34 30 74 09 73 45 73 21 72 56 72 3° 72 05 71 39 71 13 70 43 70 19 69 52 69 24 40 7i 54 71 3i 71 08 70 43 76 18 69 53 69 28 69 01 68 36 68 10 67 42 67 14 50 69 41 69 17 68 54 68 30 68 05 67 42 67 16 66 51 66 26 66 00 °5 33 65 07 7 00 67 26 67 04 66 41 66 17 65 53 65 3° 65 06 64 41 64 17 63 51 63 25 62 59 7 OO 10 20 30 40 50 10 65 12 64 5 1 64 28 64 05 63 42 63 18 62 55 62 31 62 06 61 42 61 17 60 52 20 62 59 62 38 62 16 61 53 61 30 61 08 60 45 60 21 59 58 59 33 59 °9 58 45 30 60 47 60 25 60 05 59 42 59 20 58 59 58 35 58 13 57 5° 57 26 57 02 56 38 40 58 33 58 13 57 52 57 30 57 °9 56 48 56 26 56 04 55 42 55 19 54 56 54 33 50 56 21 56 01 55 40 55 19 54 59 54 38 54 17 53 55 53 34 53 12 52 49 52 27 8 OO 54 °7 53 48 53 28 53 08 52 48 52 27 52 07 51 46 51 26 51 °4 5° 43 50 21 8 OO 10 20 30 40 50 10 51 55 5 1 35 51 17 5° 57 5° 37 =o '8 49 58 49 38 49 18 48 58 48 37 48 16 30 49 41 49 24 49 04 48 46 48 27 48 08 47 49 47 29 47 " 46 50 46 3i 46 10 30 47 28 47 10 '46 53 46 35 46 16 45 5^ 45 4° 45 21 45 °2 44 44 44 24 44 °5 40 45 14 44 58 44 41 44 23 44 06 43 48 43 31 43 12 42 55 42 '37 42 19 42 00 50 43 01 42 45 42 29 42 12 4 1 54 41 38 41 22 41 °4 40 47 40 30 40 12 39 54 9 00 40 47 40 31 40 16 39 59 39 44 39 28 39 « 3856 38 39 38 23 38 06 37 49 9 OO 10 20 30 40 50 10 38 33 38 18 38 04 37 48 37 33 37 18 37 02 36 46 36 32 36 16 35 59 35 44 33 38 20 36 18 36 04 35 50 35 36 35 22 35 08 34 53 34 39 34 24 34 °9 33 53 31 48 30 34 "4 33 51 33 38 33 24 33 10 32 57 32 43 32 29 32 16 32 02 31 32 40 31 49 31 36 31 24 31 II 3° 59 30 46 3° 33 30 20 30 07 29 54 29 41 29 27 50 29 34 29 23 29 11 28 59 28 47 28 36 28 23 28 II 27 59 27 47 27 34 27 22 10 OO 27 19 27 08 26 57 26 46 26 36 26 24 26 14 26 02 25 51 25 39 25 28 25 16 10 00 10 20 30 40 50 10 25 03 22 48 24 53 24 44 24 33 24 23 24 13 24 02 23 52 23 42 23 3i 23 20 23 10 20 22 39 22 30 22 20 22 II 22 02 21 52 21 42 21 34 21 24 21 14 21 05 30 20 32 20 23 20 16 20 07 19 58 19 5° 19 41 19 33 19 24 19 16 19 °7 18 58 40 18 15 IS 08 18 01 17 53 17 45 17 38 17 31 17 23 17 16 17 08 17 00 16 52 50 15 58 15 53 15 46 15 40 15 33 15 26 15 19 15 I2 15 06 14 59 14 52 14 46 11 00 13 42 13 37 13 31 13 25 13 20 13 15 13 °8 13 °3 12 56 12 51 12 45 12 40 11 00 10 20 30 40 50 12 00 10 II 25 11 21 11 16 11 II 11 07 11 02 1° 57 10 52 10 48 1° 43 10 38 1° 33 20 9 08 9 °5 9 01 8 57 8 54 8 5° 8 46 8 42 8 38 \ l \ 8 30 8 27 30 651 6 49 6 46 6 43 6 40 6 37 6 35 631 6 28 6 26 6 23 6 20 40 4 34 4 32 4 30 4 28 4 27 4 25 4 23 4 21 4 19 4 18 4 15 4 13 50 2 18 2 16 2 16 2 14 2 14 2 12 2 II 2 II 2 09 2 09 2 07 2 07 12 00 00 00 00 00 00 00 00 00 00 00 00. 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 282 AZIMUTH OR TRUE BEARING. LATITUDE 69°. DECUNATION- SAME NAME AS— LATITUDE. I/ATITVDE 69°. Hour An gle. ;36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. h. in. ' o ' / / / / / / / / / / / b. 111. OO 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 ,0 00 10 176 17. 176 14 176 10 176 07 176 03 175 59 175 54 175 50 175 45 175 40 175 33 175 27 10 20 172 35 172 28 172 22 172 16 172 07 171 58 171 50 171 40 171 31 171 20 171 08 170 55 20 30 16S54 168 44 168 34 168 23 168 12 168 00 167 47 167 33 167 19 167 03 166 46 166 27 30 40 165 14 165 02 164 49 164 34 164 19 164 03 l°3 47 163 29 163 09 162 48 162 26 162 02 40 50 161 36 161 21 161 05 160 47 160 29 160 10 159 49 159 27 159 °3 158 38 158 10 157 4i 50 1 00 15S 01 157 43 157 24 153 46 157 03 156 42 156 19 155 55 , 155 29 155 °I 154 32 154 00 153 26 1 OO 10 154 29 154 °8 153 23 152 58 152 33 , 152 05 151 3° 151 05 150 31 149 55 149 16 10 20 151 00 150 37 150 12 149 47 149 19 148 51 148 20 147 48 147 13 146 37 145 57 145 15 20 30 ?47 33 147 08 146 42 146 13 145 44 145 13 144 40 144 05 143 27 142 48 142 05 141 20 30 40 144 11 143 44 143 15 142 45 142 13 141 40 141 04 140 27 139 48 139 °5 138 21 137 3* 40 50 140 53 140 24 139 54 139 21 138 47 138 13 137 35 136 55 136 14 135 30 134 43 133 52 50 2 00 137 38 137 07 '136 35 136 02 135 26 134 49 134 10 133 29 132 45 132 00 131 n 130 19 2 OO 10 134 26 133 54 133 22 132 47 132 10 131 31 130 5i 130 08 129 23 128 36 127 46 126 53 10 20 131 20 130 46 130 12 129 36 12858 128 19 127 37 126 54 126 08 125 19 124 28 123 34 20 30 128 16 127 42 127 06 126 30 125 51 125 10 124 29 123 43 122 57 122 07 121 16 120 20 30 40 125 16 124 41 124 05 123 28 122 49 122 07 121 24 120 38 11? 52 119 02 118 09 H7 14 40 50 122 21 121 46 121 09 120 30 119 50 119 09 118 25 117 39 116 52 116 02 115 10 114 14 50 3 00 no 29 "8 53 118 16 117 37 11° 57 116 15 115 31 114 45 113 57 113 07 112 15 in 19 3 OO 10 116 39 116 03 115 26 114 47 IT4 06 113 24 112 41 III 54 in 06 no 17 109 24 108 29 10 20 "3 55 113' 18 112 40 112 02 III 20 no 39 109 -54 109 08 108 20 107 30 106 39 105 43 20 30 in 13 no 36 109 58 109 19 108 38 107 56 107 13 106 26 i°5 39 104 50 '103 58 103 03 30 40 108 34 107 57 107 19 106 40 105 59 105 17 l°4 33 103 48 103 01 102 12 101 21 100 27 40 50 105 58 105 21 l°4 43 104 04 103 24 102 42 •101 59 101 13 100 27 99 38 98 47 97 55 50 4 00 103 25 102 48 102 10 101 31 100 51 100 10 99 28 98 42 97 5° 97 09 96 19 95 27 4 00 10 100 53 100 17 99 40 99 01 98 21 97 4o 96 58 96 13 95 28 94 41 93 52 93 01 10 20 98 25 97 48 97 12 9° 34 95 54 95 13 94 32 93 48 93 04 92 16 91 29 90 39 20 30 95 59 95 23 94 47 94 09 93 3° 92 50 92 08 91 26 90 41 88 22 89 55 89 09 88 19 30 40 93 3° 93 00 92 22 91 46 91 08 88 48 go 29 88 10 89 48 89 06 87 37 8651 86 03 40 50 91 13 90 38 90 03 89 26 87 29 86 47 86 05 85 21 8436 83 48 50 5 00 88 53 88 19 87 43 87 07 86 30 8552 85 13 8431 83 50 83 06 82 23 81 35 5 00 10 86 34 86 00 8526 84 50 84 14 83 36 82 57 82 17 81 3° 80 54 80 n 79 26 10 20 84 18 83 44 83 10 82 35 81 59. 81 22 80 45 80 05 79 25 78 44 78 02 77 18 20 30 82 03 79 4§ 81 29 80 56 80 22 79 46 79 I0 78 33 77 54 77 15 7° 34 75 53 75 10 30 40 79 16 78 43 78 09 77 35 76 59 76 23 75 45 75P7 73 01 74 27 73 47 73 05 40 50 77 36 77 04 76 32 75 59 75 25 74 50 74 15 73 38 72 22 71 42 71 02 50 6 00 75 24 74 53 74 22 73 49 73 15 72 42 72 07 7i 31 70 55 70 17 69 39 68 58 6 OO 10 73 13 72 43 72 12 71 39 71 07 70 34 70 00 69 26 6849 68 13 6736 6657 10 20 71 04 70 34 70 04 67 5° °9 33 69 01 68 29 67 56 67 21 66 47 66 11 65 35 64 57 '20 30 0855 68 26 67 26 °°55 66 23 65 51 65 18 64 45 64 10 63 34 62 58 30 40 66 47 66 18 65 49 65 20 64 49 64 18 6348 °3 15 62 43 62 09 61 34 60 59 40 50 64 39 64 12 °3 44 °3 14 62 45 62 15 61 44 61 14 60 41 60 oS 59 35 59 00 50 7 00 62 32 62 06 61 39 61 09 60 41 6o- 12 59 42 59 12 58 41 58 10 57 37 57 04 7 OO 10 60 25 60 00 59 33 59 °° 58 37 58 09 57 41 57 n 56 4i 56 10 55 38 55 0° 10 20 58 19 57 54 57 28 57 01 5° 35 56 07 55 39 55 n 54 42 54 12 53 42 53 10 20 30 56 14 55 49 55 25 54 59 54 32 54 °5 53 39 53 11 52 43 52 15 51 46 5i 15 30 40 54 08 53 45 53 20 52 55 52 3° 52 04 51 39 5i 11 50 45 50 17 49 49 49 19 40 50 52 04 51 41 51 17 50 53 50 29 5° °4 49 39 49 13 48 47 48 20 47 53 47 25 50 8 00 49 58 49 36 49 13 48 50 48 27 48 03 47 39 47 13 46 48 46 23 45 57. 45 30 8 00 10 47 54 47 32 47 11 46 48 46 25 46 03 45 40 45 16 44 51 44 27 44 02 43 3° lO 20 45 49 45 29 45 08 44 4° 44 24 44 02 43 40 43 17 42 54 42 30 42 06 41 41 20 30 43 45 43 26 43 05 42 44 42 23 42 02 41 41 41 19 40 57 40 3"4 40 11 39 47 30 40 41 40 41 21 41 02 40 42 40 22 40 03 39 42 39 20 39 °° 3838 38 16 37 53 40 50 39 3° 39 19 39 °° 3841 38 21 38 03 37 43 37 23 37 03 36 42 36 21 36 00 50 a OO 37 31 37 14 36 5° 3° 39 36 20 36 03 35 44 35 25 35 05 34 4° 34 20 34 06 9 00 10 35 27 35 11 34 54 34 37 34 20 34 03 33 45 33 27 33 09 32 51 32 32 32 12 lO 20 33 23 33 "8 32 51 32 35 32 19 32 03 31 46 31 3" 31 12 30 55 30 38 30 19 20 30 31 18 31 04 30 49 3° 34 30 19 30 03 29 48 29 32 29 16 2859 28 43 28 25 30 40 29 13 29 00 28 46, 28 31 28 17 28 03 27 48 27 34 27 19 27 03 26 47 26 32 40 50 27 09 26 56 26 43 26 30 26 17 26 04 25 50 25 35 25 22 25 °7 24 53 24 38 50 lO OO 25 05 24 53 24 40 24 28 24 15 24 04 23 51 23 38 23 25 23 n 22 59 22 45 10 00 10 22 59 22 49 22 37 22 26 22 14 22 04 21 52 21 40 21 28 21 16 21 03 20 51 10 20 20 54 20 45 • 20 34 20 24 20 14 20 04 19 53 19 42 19 31 19 20 19 09 18 58 20 30 18 49 18 40 18 31 18 22 18 12 18 03 17 53 17 44 17 35 17 25 17 14 17 04 30 40 16 44 16 36 16 28 16 19 16 11 16 03 15 54 15 45 15 37 15 28 15 20 15 10 40 50 14 38 14 32 14 24 14 18 14 10 14 °3 13 56 13 48 13 40 13 33 13 24 13 16 50 n 00 12 33 12 27 12 21 12 15 12 09 12 03 11 5° 11 50 11 43 11 37 n 30 11 23 11 00 10 10 28 10 23 10 18 10 13 10 07 10 02 9-57 9 51 9 46 9 41 9 35 9 29 lO 20 8 22 8 19 8 14 8 10 8 06 8 02 7 58 7 53 7 49 7 45 7 40 7 35 20 30 6 17 6 14 6 11 6 07 6 04 6 01 5 58 5 55 3 5° 5 51 5 48 5 45 5 4i 30 40 4 11 4 09 4 07 4 05 4 03 4 01 3 59 3 55 3 52 3 50 3 48 40 50 2 06 2 04 2 03 2 02 2 01 2 00 1 59 1 58 1 57 1 56 1 55 1 55 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In Worth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 283 AZIMUTH OR TRUE BEARING. LATITUDE 09°. DECI,INATION- •SAME NAME AS— LATITUDE- IiATITUI>E 69°. Hour Ail gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. h in. ' ~ ' / / / / / / / 1 / / Ii 111. 00 180 oo 180 00 180 00 1 80 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 20 175 13 175 04 174 55 174 45 174 33 174 20 174 05 173 48 173 28 173 05 172 36 10 20 166 oi 170 27 170 10 169 51 169 31 169 09 168 43 168 14 167 40 167 02 166 16 165 22 ao 30 =65 44 161 06 165 19 164 53 164 .23 163 49 163 13 162 30 161 41 160 45 159 40 158 22 30 40 ■i6l 35 160 34 159 59 159 21 158 38 157 59 156 55 155 54 154 43 153 20 151 44 40 50 157 08 156 33 155 55 155 13 154 27 153 36 152 38 151 34 150 21 148 58 147 22 145 3° SO l'' 00 152 48 152 08 151 24 150 36 149 42 148 44 147 39 146 26 145 °4 143 3° 141 45 139 44 1 00 10 14835 147 5° 147 01 146 07 145 08 144 04 142 52 141 32 140 04 138 23 13° 30 134 21 10 20 144 29 143 41 142 47 141 49 140 45 139 36 138 19 136 54 135 20 133 34 131 37 129 24 ao 30 140 31 139 39 138 41 137 39 136 32 135 19 133 58 132 30 130 53 129 04 127 04 124 48 30 40 136 40 135 45 134 45 133 40, 132 31 131 14 129 51 128 21 126 41 124 51 122 50 120 34 40 50 132 58 132 01 130 5» 129 51 128 40 127 22 125 57 124 25 122 45 120 54 "8 53 116 39 50 2 00 129 23 128 24 124 56 127 19 126 12 124 59 123 39 122 13 120 41 119 00 117 10 115 10 112 59 2 00 10 125 56 123 51 122 41 121 28 120 08 118 42 117 09 115 29 113 40 in 43 i°9 34 10 ao 122 36 121 34 120 29 119 20 118 06 116 46 115 20 113 48 112 09 no 22 108 26 106 21 ao 30 119 22 118 21 "7 15 116 05 "4 5i 113 32 112 07 no 36 108 58 107 14 105 22 103 20 30 40 116 15 115 1° 114 08 113 59 hi 45 no 27 109 02 107 34 105 58 104 15 102 26 100 28 ' 40 50 "3 IS 112 14 in 08 109 59 108 46 107 29 106 06 104 39 103 05 101 25 99 39 97 45 SO 3 00 IIO 21 109 20 108 15 107 06 105 54 104 39 103 18 101 52 100 20 98 42 97 00 95 09 3 00 10 107 31 106 31 105 26 104 19 103 08 101 53 100 34 99 10 97 4i 96 00 94 26 92 4° 10 ao 104 46 103 47 102 43 101 37 100 27 99 14 97 57 96 34 95 08 93 36 91 59 90 16 20 30 102 07 101 08 100 06 99 00 97 52 96 40 95 24 94 05 92 40 91 12 89 37 87 58 30 40 99- 31 98 33 97 32 96 28 95 21 94 11 92 57 91 39 90 17 88 52 87 20 85 44 40 50 96 59 96 03 95 03 94 00 92 55 91 46 9° 34 89 18 87 59 8635 85 08 83 35 50 4 00 lO 94 32 92 08 93 36 9 1 !3 92 37 90 15 91 36 89 15 90 32 88 13 87 08 88 15 85 59" 87 02 84 48 85 45 83i33 84 24 82 15 8259 8053 81 29 79 26 4 OO lO ao 89 47 88 53 87 56 8658 85 57 84 53 ? 34 Z 82 38 81 25 80 09 7850 77 26 20 30 87 29 86 36 85 4i 84 43 83 45 82 42 81 38 8031 79 20 7807 76 49 75 29 30 40 85 13 84 22 83 28 82 31 81 34 80 34 79 31 78 25 77 18 76 06 74 52 73 34 40 50 82 59 82 09 81 17 80 22 79 26 78 28 77 27 76 24 75 17 74 08 72 56 71 41 50 5 OO 80 48 79 58 79 °8 78 15 77 20 76 24 75 24 74 22 73 18 72 11 71 02 69 50 5 00 10 78 39 77 51 77 01 76 10 75 16 74 21 73 23 72 24 71 22 £ I7 69 10 68 00 10 20 76 32 75 4 s 74 57 74 06 73 14 72 21 7i 25 70 27 69 27 68 25 67 20 66 12 20 30 74 26 73 4i 72 54 72 04 71 14 70 23 69 27 68 32 67 34 66 33 65 31 64 25 30 40 72 22 7i 37 70 5 1 70 04 69 15 68 25 67 32 66 38 65 42 64 43 f3 43 62 40 40 50 70 19 69 36 6852 68 06 67 18 66 30 6538 64 45 63 51 62 55 61 56 60 55 60 6 00 68 18 67 36 6653 66 07 65 22 64 34 '63 45 62 54 62 02 61 06 60 10 59 11 6 00 lO 66 18 65 36 64 54 64 n 63 26 62 40 61 52 61 03 60 12 59 20 58 25 57 28 lO 20 64 18 63 39 62 58 62 16 61 33 60 48 60 01 59 14 58 25 57 34 56 41 55 47 20 30 62 19 61 41 61 02 60 20 59 39 5856 58 11 57 26 5638 55 48 54 57 54 05 30 40 60 22 59 45 59 °7 58 26 57 4° 57 05 56 22 55 37 54 52 54 03 53 13 52 23 40 50 58 25 57 5° 57 13 56 34 55 55 55 15 54 33 53 50 53 °5 52 19 51 32 5° 43 50 7 00 56 29 55 54 55 19 54 42 54 03 53 24 52 44 52 03 51 20 50 36 49 5i 49 °4 7 OO 10 54 33 54 00 53 25 52 49 52 13 51 35 50 56 50 17 49 35 48 53 48 09 47 24 10 ao 52 38 52 06 51 33 50 58 50 22 49 47 49 09 48 31 47 51 47 09 46 28 45 44 20 30 50 44 5° 13 49 4° 49 °7 48 33 47 59 47 22 46 45 46 07 45 28 44 47 44 05 30 40 48 50 48 19 47 48 47 16 46 44 46 10 45 35 45 00 44 24 43 46 43 °7 42 26 40 50 46 56 46 27 45 57 45 26 44 54 44 23 43 50 43 15 42 41 42 04 41 27 40 48 50 8 00 45 ° 2 44 34 44 06 43 36 43 06 42 35 42 03 41 30 40 56 40 22 39 46 39 °9 8 OO lO 43 °9 42 43 42 15 41 46 41 17 40 48 40 17 39 46 39 15 38 41 38 07 37 32 lO 20 41 16 40 50 40 24 39 57 39 29 39 °l 38 32 38 03 37 31 36 59 36 27 35 54 20 30 39 24 38 59 38 34 38 07 37 41 37 15 36 47 36 19 35 49 35 19 34 48 34 15 30 40 37 3° 37 07 36 43 36 18 35 53 35 28 35 01 34 34 34 07 33 38 33 08 32 38 40 50 35 37 35 15 34 53 34 29 34 06 33 41 33 16 32 5° 32 24 31 5° 31 29 31 00 50 9 00 33 45 33 24 33 02 32 40 32 17 31 55 31 31 31 06 30 41 30 16 29 49 29 21 9 00 10 31 52 3 1 32 31 12' 30 51 30 29 30 08 29 45 29 23 28 59 28 35 28 10 27 44 lO 20 30 00 29 42 29 22 29 03 28 42 28 22 28 01 27 39 27 17 26 54 26 30 26 06 ao 30 28 08 27 5° 27 32 27 14 26 55 26 36 26 15 25 55 25 34 25 13 24 51 24 29 30 40 26 15 25 59 25 42 25 25 25 07 24 49 24 31 24 12 23 52 23 32 23 11 22 51 40 50 24 23 24 08 23 52 23 36 23 20 23 °3 22 46 22 29 22 10 21 51 21 33 21 13 50 10 00 22 30 22 17 22 02 21 48 21 32 21 17 21 01 2045 20 29 20 11 19 54 19 35 10 00 10 20 38 20 25 20 12 19 59 19 44 19 30 19 16 19 01 18 46 18 29 18 14 17 57 lO 20 IS 46 18 35 18 21 18 09 17 56 17 45 17 4i 17 18 17 04 16 49 16 35 16 19 20 30 16 53 16 42 16 32 16 21 16 09 15 58 15 4° 15 33 15 22 15 °8 14 5° 14 42 30 40 15 61 14 51 14 42 14 31 14 22 14 n 14 01 13 5" 13 39 13 27 13 16 13 03 40 50 13 °8 13 00 12 52 12 42 12 34 12 25 12 16 12 06 11 57 11 47 11 37 11 26 50 11 00 11 16 11 09 II 01 10 53 10 46 10 39 10 31 10 22 10 14 10 06 g 5 Z 9 48 11 OO 10 9 23 9 ! 7 9 " 9 °5 8 59 8 52 8 46 8 39 8 32 H 25 8 18 8 10 lO 20 7 3 1 7 25 7 21 7 16 7 11 7 06 7 00 6 55 6 50 6 44 6 39 6 32, 20 30 5 38 5 34 5 3° 5 26 5 24 5 20 5 16 5 11 5 07 5 03 4 58 4 54 30 40 3 45 3 43 3 4i 3 38 3 36 3 33 3 30 ., 3 28 3 25 3 23 3 19 3 1° 40 50 1 52 1 5 1 1 50 I 49 1 48 I 47 1 46 1 44 1 42 1 4i I 39 I 38 50 ia 00 00 00 00 00 00 00 00 00 00 ! 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 284 AZIMUTH OR TRUE BEARING. LATITUDE 69°. DECLINATION— SAME NAME AS- -LATITUDE. LATITUDE 69°. Hour Angle. 60° 61° 62° 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. h. m. o / t 1 / / 1 / / / / / li. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 00 10 172 02 171 20 170 26 169 13 167 34 165 07 161 09 145 °8 153 44! 136 19 88 50 40 03 10 20 164 16 156 49 162 55 161 12 15858 155 57 151 39 134 33 116 16 07 40 57 56 20 30 154 5» 152 35 149 35 145 37 ^40 17 132 46 121 56 106 29 86 30 65 40 30 40 149 49 147 31 144 43 141 12 13° 45 130 59 123 24 113 24 100 34 85 20 69 2S 40 50 143 20 14045 137 39 133 53 129 14 123 26 116 12 107 15 96 27 84 10 71 20 50 1 OO 137 21 134 37 131 21 127 29 122 51 117 14 no 31 102 31 93 16 83 00 72 15 1 00 . 10 131 53 129 02 125 45 121 53 117 21 112. 03 105 52 98 43 90 39 81 49 72 36 10 20 126 53 124 01 120 44 "6 57 112 37 107 39 103 48 101 57 ' 95 31 88 22 80 39 72 34 20 30 122 16 119 26 116 13 112 35 108 27 98 34 92 44 86 20 79 29 72 19 30 40 118 04 "5 17 112 09 108 40 104 46 100 23 95 34 90 15 84 29 78 18 '71 54 71 16 40 50 114 12 in 28 108 28 105 07 101 26 97 21 92 53 88 00 82 43 77 °8 50 2 OO no 35 107 57 105 03 101 53 98 23 94 34 90 25 88 08 85 55 81 05 75 57 70 36 2 00 10 107 14 104 42 101 55 98 53 95 35 92 00 83 57 79 30 74 47 69 51 IO 20 104 05 101 39 99 00 96 07 93 00 89 37 86 00 82 06 77 58. 73 36 69 02 20 3.0 101 09 98 47 96 15 93 3i ' 90 34 87 22 83 59 80 20 76 29 72 25 68 10 30 40 98 22 96 06 93 40 91 °3 88 15 85 15 82 04 78 39- 75 02 7i 14, 67 15 40 50 95 42 93 32 91 13 88 44 86 04 83 14 80 13 77 00 73 37 70 03 66 19 SO 3 00 93 12 91 07 88 53 86 31 83 59 81 17 78 26 75 24 72 12 68 51 65 21 3 00 10 90 47 88 46 , 86 39 84 22 81 58 79 24 76 42 73 51 7° 50 67 40 64 22 IO 20 88 28 86 32 84 29 82 20 80 02 77 36 75 02 72 19 69 28 66 28 63 20 20 30 86 13 84 22 82 25 80 20 78 09 75 50 73 24 70 49 68 07 65 17 62 18 30 40 84 03 82 17 80 24 78 25 76 20 74 07 71 48 69 21 6646 64 05 61 16 40 50 81 57 80 15 78 27 76 33 74 33 72 26 70 13 67 53 65 26 62 53 60 12 SO 4 OO 79 55 78 17 76 33 74 44 72 49 70 48 68 40 66 27 64 07 61 40 59 08 4 00 io 77 56 76 21 74 41 72 5° 71 06 69 10 67 09 65 01 62 48 60 28 58 02 IO 20 76 00 74 27 72 52 71 11 69 25 67 35 65 39 63 36 61 28 59 *6 56 56 20 30 74 05 72 37 71 05 69 28 67 47 66 00 64 09 62 12 60 10 5802 55 49 30 40 72 13 70 48 69 20 67 47 66 09 64 27 62 41 60 48 5852 56 50 54 42 40 50 70 23 69 01 67 36 66 06 °4 33 62 55 61 13 59 25 57 34 ' 55 36 53 35 50 5 00 68 34 67 15 65 54 64 27 62 57 61 23 59 46 58 02 56 15 54 23 52 26 5 00 10 66 47 65 31 64 13 62 50 61 23 59 53 5823 58 18 5° 39 54 57 53 09 51 17 10 20 65 02 §3 49 62 07 62 32 61 13 59 50 56 53 55 18 53 39 51 55 50 08 20 30 63 17 60 54 59 37 58 17 56 53 55 27 53 55 52 20 50 41 48 58 30 40 61 34 60 26 59 15 58 02 56 44 55 24 54 00 52 33 51 02 49 27 4748 40 50 59 52 58 46 57 37 .5° 27 55 13 53 5° 52 35 51 11 49 44 48 13 46 38 50 6 00 58 11 57 06 56 02 54 53 53 42 52 vf 51 11 49 49 48 26 46 58 45 26 6 OO IO 56 3° 55 28 54 25 53 19 52 11 50 59 49 46 48 27 47 07 45 43 44 15 10 20 54 50 53 5i 52 50 51 47 5° 40 49 32 48 21 47 06 45 49 44 28 43 04 20 30 53 1° 52 13 5i 15 5° 14 49 11 48 05 46 56 45 44 44 30 43 12 41 52 30 40 51 32 ' 50 36 49 41 48 42 47 41 46 37 45 31 44 22 43 12 41 57 40 39 40 50 49 53 49 00 48 06 47 10 46 II 45 10 44 08 43 00 41 53 40 41 39 26 SO 7 00 48 15 47 24 46 32 45 38 44 42 43 43 42 42 41 39 40 34 39 25 38 13 7 00 10 46 37 45 48 44 59 44 06 43 12 42 16 41 18 40 17 39 14 38 08 37 00 10 20 44 59 44 13 43 25 42 35 41 43 40 49 39 54 38 55 37 55 36 52 35 47 20 30 43 23 42 38 41 51 41 04 40 14 39 23 3» 29 37 33 36 36 35 35 34 33 30 40 41 45 41 02 40 19 39 32 38 45 37 55 37 05 36 II 35 16 34 18 33 18 40 50 40 09 39 27 38 45 38 02 37 1° 36 29 35 41 34 49 33 57 33 01 32 04 50 8 00 38 31 37 53 37 I 2 36 30 35 47 35 02 34 16 33 26 32 36 31 44 3° 50 8 00 10 36 56 36 18 35 4° 34 59 34 18 33 35 32 51 32 04 31 17 30 26 29 35 10 20 35 19 34 44 33 °0 34 o? 33 29 32 50 32 08 31 26 30 41 29 57 29 09 28 19 20 30 33 43 32 34 31 58 31 20 . 3° 4i 30 01 29 19 28 36 27 51 27 04 30 40 32 06 '31 34 31 02 30 27 29 51 29 14 28 37 27 57 27 15 26 32 25 48 40 50 30 3° 29 59 29 28 28 55 28 22 27 47 27 11 26 34 25 55 25 l-l 24 32 50 9 00 28 54 28 25 27 55 27 25 26 53 26 20 25 46 25 10 24 34 23 55 23 15 9 00 10 27 18 26 50 26 23 25 54 25 24 24 52 24 20 23 47 23 13 22 37 22 00 10 20 25 42 25 16 24 50 24 23 23 55 23 26 22 56 22 24 21 52 21 18 20 43 20 30 24 05 23 41 23 17 22 52 22 26 21 58 21 30 21 00 20 31 19 59 19 26 30 40 22 29 22 07 21 45 21 21 20 56 20 31 20 04 19 36 19 °9 18 40 18 09 40 50 20 53 20 32 20 11 19 49 19 27 19 °3 1838 18 14 17 48 17 20 16 52 50 10 00 19 17 1858 18 39 18 18 17 57 17 35 17 13 16 50 16 26 16 01 15 35 10 00 10 17 40 17 23 17 05 16 47 16 27 16 OS 15 48 15 26 15 04 14 4i 14 17 10 20 16 05 15 49 15 32 15 15 14 58 14 4° 14 22 14 03 13 42 13 22 13 00 20 30 14 29 14 14 14 00 13 44 13 29 13 12 12 56 12 38 12 20 12 02 II 42 30 40 12 51 12 39 12 26 12 13 II 58 11 44 11 30 II 14 10 58 10 42 10 25 40 50 " 15 II 04 10 53 10 41 10 29 10 16 10 03 9 5° 9 37 9 22 9 °7 50 11 00 9 38 9 3° 9 20 9 °9 8 59 8 48 8 37 8 26 8 14 8 02 7 49 11 OO 10 8 03 7 54 7 46 7 38 7 29 7 21 7 12 7 02 6 52 6 41 631 10 20 6 26 6 20 613 6 07 6 00 5 53 5 46 5 37 5 29 5 21 5 12 20 30 4 49 4 45 4 4° 4 35 4 3° 4 24 4 19 4 14 4 07 4 01 3 54 30 40 3 13 3 10 3 °7 3 °3 2 39 2 56 2 52 2 49 2 45 2 41 2 36 40 50 1 37 I 35 1 33 1 32 1 3° 1 28 1 26 1 25 1 23 I 20 1 18 50 12 00 00 00 00 00 00 00 CO t o 00 00 00 00 12 00 In North latitude, when the star is rising or Eas' of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When trie latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 285 AZIMUTH OR TRUE BEARING. IiATITUDE 70°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 70°., Hour Angle. 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° Hour Angle. b. 111. o / / / / / ' / / / / / / li. 111. 00 180 oo" 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 20 30 40 SO 10 176 49 176 48 176 46 176 44 176 42 176 40 17638 176 36 176 33 176 31 176 29 176 26 20 173 4° 173 36 173 32 173 28 173 25 173 21 173 17 173 12 173 °7 173 02 172 57 172 52 30 170 29 170 24 170 19 170 14 170 08 170 02 169 56 169 49 169 42 X S? 3 J 169 27 169 20 40 167 20 167 13 167 06 166 59 166 51 166 43 166 35 166 26 166 17 166 08 165 58 165 47 50 164 13 164 04 «3 55 163 46 163 36 163 26 163 16 163 05 162 54 162 43 162 31 162 18 1 00 161 06 160 55 160 45 160 34 160 23 160 11 159 58 159 46 15? 33 159 19 159 °5 158 50 1 00 10 20 30 40 50 10 158 00 157 48 157 36 157 23 157 10 156 57 156 43 156 28 156 13 155 58 155 4i 155 24 20 154 56 154 42 154 28 154 14 154 00 153 45 153 29 153 13 152 56 152 38 152 20 152 00 148 40 30 151 52 151 37 151 22 151 07 150 51 I5» 34 150 17 150 00 149 41 149 22 149 01 40 148 52 148 35 148 19 148 02 147 45 147 27 147 08 146 48 146 28 146 08 145 46 145 23 50 145 52 145 35 145 18 144 59 144 4i 144 21 144 01 143. 4i 143 19 142 57 142 33 142 09 2 00 142 55 142 37 142 18 141 59 141 39 141 19 140 57 140 35 140 12 139 48 139 23 138 57 2 00 lO 20 30 40 50 10 140 00 139 4° 139 21 139 OI 138 40 138 17 137 55 137 33 137 °8 136 43 136 17 135 5° 20 137 07 136 47 136 26 136 05 135 42 135 20 135 56 134 32 134 07 133 41 133 14 132 45 30 134 15 133 55 133 33 133 n 132 48 132 25 132 00 131 35 131 08 130 41 130 13 129 44 126 46 40 131 26 131 04 13° 42 130 19 129 55 129 31 129 06 128 40 128 13 127 45 127 16 SO 128 40 128 18 127 54 127 30 127 06 126 41 126 15 125 48 125 21 124 53 124 23 123 51 3 OO 125 55 125 32 125 08 124 44 124 19 123 53 123 26 122 59 122 31 122 03 121 32 121 00 118 12 3 00 10 20 30 40 50 lO 123 12 122 48 122 24 122 00 121 34 121 08 120 41 120 13 119 44 "9 15 118 44 20 120 31 120 07 119 42 "9 17 118 52 118 25 "7 57 117 29 117 00 116 30 "5 59 115 27 30 "7 53 117 28 117 04 116 38 116 11 "5 44 115 16 114 48 :i4 18 113 48 113 17 112 45 40 115 16 "4 5 1 114 26 114 00 113 34 113 07 112 38 112 09 in 39 III 09 no 37 no 05 50 112 41 112 16 in 5 1 in 24 no 57 no 30 no 01 109 33 109 03 108 32 108 00 107 28 4 00 no 09 109 43 109 17 108 50 108 24 107 57 107 28 106 59 106 29 105 58 105 26 104 54 4 OO lO 20 30 40 50 10 107 36 107 II 106 46 106 19 105 51 105 23 104 56 104 27 103 56 103 26 102 54 102 22 20 105 07 104 41 104 16 103 49 103 22 102 54 102 25 101 56 101 26 100 56 100 24 99 5i 30 102 '39 102 13 101 47 101 20 100 53 100 26 99 57 99 28 98 59 98 29 97 57 97 24 40 100 13 99 46 99 21 98 54 98 27 97 59 97 31 97 03 96 33 96 03 95 31 94 59 50 97 47 , 97 21 96 56 96 29 96 02 95 34 95 °6 94 38 94 08 93 39 93 07 92 35 5 OO 95 23 94 57 94 31 94 05 93 38 93 11 92 42 92 14 91 45 91 16 9° 45 90 13 87 53 5 00 10 20 30 40 > 50 10 93 00 92 35 92 09 91 42 91 15 90 49 90 21 89 53 89 23 88 54 88 24 20 90 39 90 13 89 48 89 21 88 55 88 29 88 01 87 33 87 04 86 35 86 05 85 34 83 16 30 88 17 87 52 87 27 87 01 8635 86 08 85 4i 85 13 84 45 84 17 83 47 40 85 57 85 32 85 °7 84 42 84 16 83 49 83 22 82 55 82 27 81 59 81 30 81 00 7846 50 83 39 83 15 82 49 82 24 81 59 81 33 81 06 80 39 80 11 79 44 79 15 6 OO 81 21 80 57 80 32 So 07 79 42 79 16 78 50 78 24 77 56 77 3° 77 01 76 32 74 18 6 OO 10 20 30 40 50 lO 79 02 78 39 78 15 77 50 77 25 77 00 76 35 76 09 75 42 75 15 74 47 20 76 47 76 23 76 00 75 35 75 11 74 46 74 21 73 55 73 29 73 02 72 35 72 07 69 56 30 74 3° 74 07 73 44 73 20 72 56 72 32 72 06 71-41 71 16 70 5° 70 24 40 72 14 7 1 51 71 29 7i °5 70 41 70 18 69 53 69 28 69 04 68 39 68 13 67 46 50 69 59 69 37 69 14 6851 68 28 68 05 67 41 67 17 66 52 66 28 66 02 65 36 ' 7 OO 67 44 67 22 67 00 66 38 66 15 65 52 05 29 65 05 64 4i 64 17 63 52 63 27 61 17 7 OO 10 20 30 40 50 lO 65 29 65 08 64 46 64 24 64 02 63 39 63 17 62 54 62 30 62 07 61 42 20 63 14 62 54 62 32 62 11 61 50 61 28 61 05 6q 43 60 20 59 58 59 34 59 10 30 61 01 60 40 60 20 59 59 59 38 59 16 58 54 58 33 58 11 57 49 57 26 57 02 40 58 47 58 26 58 06 57 46 57 26 57 06 56 44 56 22 56 01 55 4° 55 17 54 55 52 48 50 56 32 56 13 55 54 55 34 55 14 54 54 54 34 54 13 53 53 53 31 53 10 8 OO 54 '8 53 59 53 4i 53 22 53 02 52 43 52 23 52 03 51 43 51 23 51 02 50 40 48 34 8 OO lO 20 30 40 50 10 52 05 49 5° 5 1 47 51 29 51 1° 5° 51 5° 32 50 13 49 54 49 35 49 15 48 55 20 49 33 49 J 5 48 57 48 39 48 21 48 03 47 44 47 25 47 07 46 48 46 27 30 47 37 47 19 47 02 46 45 46 28 46 11 45 53 45 35 45 17 44 59 44 40 44 22 40 45 23 45 06 44 50 44 33 44 16 43 59 43 42 43 25 43 08 42 51 42 33 42 14 50 43 °8 42 52 42 36 42 21 42 05 41 49 41 32 41 16 40 59 40 43 40 25 40 09 9 OO 4° 53 40 38 40 23 40 08 39 53 39 37 39 22 3 §°t 38 51 38 35 36 27 38 19 36 11 38 02 9 OO 10 2» 30 40 50 10 38 39 38 24 38 10 37 55 37 41 37 26 37 11 36 56 36 41 35 55 20 36 24 36 10 35 57 35 43 35 30 35 16 35 °2 34 47 34 33 34 19 34 °4 33 50 30 34 08 33 5 6 33 43 33 3° 33 17 33 °4 32 50 32 37 32 25 32 II 31 57 31 43 29 36 40 31 53 29 38 31 42 31 29 31 17 31 °4 30 52 30 40 30 28 3° 15 30 03 29 50 50 29 26 29 15 29 04 28 53 28 41 28 29 28 18 28 07 27 55 27 43 27 3° 10 00 27 22 25 06 22 50 20 33 18 17 16 00 27 12 27 01 26 51 26 40 26 29 26 19 26 08 25 57 25 46 25 34 25 23 10 00 10 20 30 40 50 10 24 56 24 4 6 24 36 24 27 24 17 24 °7 23 57 2348 23 38 23 27 23 17 20 22 41 22 32 22 23 22 14 22 06 21 57 21 48 21 39 21 29 21 20 21 10 30 20 26 20 18 20 10 20 02 19 54 19 46 19 38 19 29 19 21 19 12 1? 04 16 57 40 18 10 18 02 17 55 1748 17 41 17 34 17 27 17 20 17 12 17 04 14 56 50 15 54 15 48 15 42 15 35 15 29 15 23 15 16 15 10 15 °3 14 50 11 00 13 43 13 38 13 33 13 27 13 22 13 16 13 10 13 05 13 00 12 54 10 46 12 49 12 43 10 36 11 OO lO 20 30 40 50 lO II 26 n 22 11 18 II 13 II 08 11 04 10 59 10 54 10 50 10 41 20 30 9 °9 6 52 4 35 2 18 9 05 6 50 9 02 6 47 8 58 6 44 I 55 6 41 851 6 38 8 47 636 844 6 33 8 40 6 30 8 36 6 27 8 32 6 24 8 28 6 21 40 50 4 33 2 17 2 16 4 29 2 15 4 28 2 14 4 26 2 13 4 24 2 12 4 22 2 11 4 20 2 10 4 18 2 09 4 16 2 08 4 14 2 07 ! 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is 'setting o? West of the meridfan, the tabulated azimuths are reckoned from North to West. In Sooth latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridfan, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to.be entered with the supplement of t e hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 286 AZIMUTH OR TRUE BEARING. LATITUDE 70°. DECMNATION- SAME NAME AS— LATITUDE. LATITUDE 70°. Hour Angle. 36° 37° 38° 39° 40° 41° 42° 43° 44° 45° 46° 47° Hour Angle. b. m. o / / / / / / / / / ' / 1 Ii. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 lO 176 23 176 20 176 17 176 14 176 10 176 06 176 03 175 59 175 54 175 49 175 44 175 39 10 20 172 47 172 41 172 35 172 28 172 21 m i4 172 06 171 57 171 49 '171 39 171 29 171 17 20 30 169 11 109 02 168 54 168 44 168 33 168 22 168 11 167 59 167 45 167 32 167 16 16659 30 40 165 36 165 25 165 13 165 00 164 47 164 32 164 18 164 02 163 44 163 26 163 06 162 44 40 50 162 04 161 50 161 35 161 20 161 03 160 45 ■160 27 160 07 159 46 159 23 158 59 158 32 50 1 OO 158 34 158 17 158 00 157 41 157 22 157 01 156 40 156 17 155 51 155 25 154 56 154 26 1 00 10 155 06 154 47 154 27 15° 58 154 05 . 153 44 153 20 152 55 152 29 152 01 151 31 15° 59 150 24 10 20 151 40 151 20 150 34 15° 1° 149 43 149 16 148 46 148 15 147 42 147 07 146 29 20 30 148 18 147 55 147 31 147 05 146 38 146 09 145 39 145 °8 144 34 143 58 143 20 142 39 138 % 30 40 144 59 144 34 144 08 143 40 143 " 142 41 142 08 141 34 138 06 140 59 140 19 139 39 40 50 141 43 141 16 140 49 140 19 139.49 139 i6 138 41 137 27 136 47 136 04 135 19 50 2 00 13830 138 02 137 32 137 02 I3 6 3° 135 56 135 19 134 42 134 02 133 20 132 35 131 47 2 00 10 135 21 134 52 134 21 133 49 133 15 132 40 132 03 131 24 130 42 129 59 129 13 128 24 10 20 132 16 131 46 131 13 130 40 130 05 129 29 128 50 128 10 127 28 126 43 125 56 125 06 20 30 129 13 128 42 128 09 127 35 126 59 126 22 125 42 125 01 124 18 123 32 122 44 121 54 30 40 126 15 125 43 125 09 124 33 123 57 123 19 122 38 121 57 121,13 120 27 119 38 118 47 40 50 123 20 122 46 122 12 121 37 121 00 120 21 119 40 "8 57 118 13 117 27 116 37 115 46 50 3 OO 120 28 119 54 119 20 118 44 118 06 117 27 116 46 116 03 115 18 "4 31 113 42 112 50 3 OO 10 117 39 117 05 Il6 29 "5 53 "5 15 114 36 113 55 113 11 112 26 in 39 no 51 i°9 59 lO 20 »4 53 114 19 113 44 113 °7 112 28 in 49 III 07 no 24 109 40 i°8 53 108 04 107 13 20 30 112 11 hi 36 III 00 no 24 109 45 109 05 108 25 107 41 106 57 106 10 105 21 104 3° 30 40 109 31 109 56 IO8 21 107 44 107 06 106 26 105 45 103 08 105 01 104 17 103 31 102 43 101 53 99 18 40 50 106 54 106 20 i°5 44 105 07 104 29 103 50 102 26 101 41 100 56 100 08 [50 4 OO 104 21 103 45 103 10 102 34 101 56 101 17 100 36 99 54 99 1° 98 24 97 38 96 48 4 00 10 101 48 101 13 100 37 100 01 99 24 9845 98 °4 97 22 96 39 95 54 95 08 94 20 10 20 9? 18 98 44 98 09 97 33 96 56 96 17 95 37 94 56 94 '3 93 29 92 43 91 55 20 30 96 51 96 17 95 43 95 06 94 29 94 51 ,93 12 92 31 91 49 91 °5 90 20 89 33 30 40 94 26 93 52 93 18 92 43 92 06 91 28 ^% 90 09 89 27 8845 88 00 87 14 40. 50 92 03 91 29 9° 55 90 20 89 44 89 07 87 49 87 °9 86 26 85 43 8458 50 5 00 89 41 89 08 88 34 88 00 87 24 86 48 86 10 85 3i 84 5i 84 10 83 27 82 42 5 00 10 87 21 86 49' 86 15 85 41 85 06 84 30 83 53 83 15 82 36 81 55 81 13 80 30 lO 20 8503 84 30 8358 83 24 82 50 82 15 81 38 81 01 80 23 79 43 79 02 78 19 20 30 82 46 82 14 81 42 81 09 80 35 80 00 79 24 7848 78 10 77 31 7° 51 76 10 30 40 80 30 79 59 79 27 78 55 78 21 77 47 77 12 76 37 76 00 75 22 74 43 74 02 40 50 78 16 77 45 77 14 76 43 76 10 75 36 75 °2 74 27 73 51 73 14 72 3§ 71 57 50 6 OO 76 02 75 32 75 °2 74 31 73 59 73 27 72 53 72 19 7i 44 71 07 70 30 69 51 6 00 lO 73 50 73 21 72 5° 72 20 7i 49 71 17 70 44 70 10 69 36 69 01 68 25 6748 10 20 71 40 71 11 70 41 70 12 69 41 69 09 68 37 6805 67 32 6658 66 22 65 45 ' 20 30 69 28 69 00 68 32 68 03 67 32 67 02 66 32 65 59 65 27 64 53 64 19 63 43 30 40 67 18 6651 66 23 65 55 65 25 64 56 64 26 63 54 63 23 62 50 62 18 61 42 40 50 65 10 64 43 64 15 63 48 63 19 62 51 62 21 61 51 61 20 60 49 60 17 59 43 50 7 00 63 02 62 35 62 08 61 42 61 14 60 46 60 17 59 48 59 18 5848 58 16 57 43 7 OO lO 60 53 60 27 60 01 59 36 59 °8 %*l 58 14 57 46 57 16 56 46 56 16 55 45 10 20 58 46 58 21 57 56 57 3° 57 °4 5638 56 11 55 44 55 15 54 47 54 17 53 47 20 30 56 39 56 15 55 5° 55 25 55 °i 54 35 54 °8 53 42 53 15 52 47 52 18 51 49 30 40 54 33 54 09 53 45 53 21 52 57 52 33 52 07 51 41 51 15 5° 49 50 21 49 53 40 50 52 25 52 03 5i 4° 51 17 5° 54 5° 3° 50 06 49 41 49 15 48 5° 48 24 47 56 50 8 OO 50 19 49 58 49 36 49 '3 48 50 4827 48 04 47 4° 47 16 46 51 46 26 45 59 8 00 lO 48 13 47 53 47 32 47 10 46 48 46 26 46 03 45 40 45 17 44 53 44 29 44 03 lO 20 46 07 45 47 45 27 45 °6 44 45 44 25 44 03 43 4° 43 18 42 56 42 32 42 07 20 30 44 02 43 43 43 23 43 °3 42 44 42 23 42 02 41 41 41 20 4° 57 4° 35 40 12 30 40 41 57 41 38 41 19 41 01 40 41 40 21 40 01 39 4i 39 21 39 00 38 39 38 16 40 50 39 51 39 34 39 l6 3858 38 39 38 21 38 02 37 43 37 23 37 °3 36 43 36 22 50 9 OO 37 46 37 28 37 " 36 54 36 37 36 20 36 02 35' 43 35 24 35 °5 34 46 34 26 9 OO lO 35 40 35 24 35 08 34 52 34 35 34 18 34 °l 33 43 33 26 33 °8 32 5° 32 31 10 20 33 35 33 20 33 04 32 49 32 34 32 17 32 01 31 45 31 28 31 12 30 55 3° 37 20 30 31 29 31 15 31 01 30 46 30 32 30 16 30 01 29 46 29 30 29 14 28 58 28 42 30 40 29 23 29 11 28 57 28 43 28 29 28 15 28 01 • 27 47 27 32 27 17 27 02 26 47 40 50 27 18 27 °5 26 53 26 40 26 28 26 15 26 01 25 48 25 34 25 21 25 °7 24 52 50 10 00 25 13 25 01 24 5° 24 38 24 26 24 13 24 02 23 49 23 37 23 24 23 n 22 57 lO OO , 10 23 07 22 56 22 45 22 34 22 24 22-12 22 02 21 5° 21 38 21 27 21 15 21 02 10 20 21 01 20 52 20 42 20 32 20 22 20 12 20 02 19 51 19 4i 19 29 19 19 19 08 20 30 18 55 18 47 1838 18 29 18 20 18 II 18 02 17 53 17 43 17 33 15 36 17 23 17 14 30 40 16 49 16 42 16 34 16 26 16 18 16 10 16 02 15 53 15 45 15 27 15 18 40 50 H 43 14 36 14 30 14 22 14 15 I 4 09 14 02 13 54 13 46 13 39 13 31 13 24 50 11 00 12 38 12 31 12 25 12 19 12 13 12 07 12 01 n 55 11 49 II 42 n 35 11 29 11 00 10 10 31 10 26 10 21 10 16 10 11 10 06 10 01 9 56 9 5° 9 45 9 4° 9 34 10 20 8 25 8 21 817 8 13 8 09 8 05 8 01 7 56 7 52 7 48 7 44 7 4t> 20 30 6 18 6 16 613 6 10 6 07 6 04 6 00 5 57 5 54 5 51 5 47 5 44 30 1 40 4 13 4 11 4 08 4 06 4 °4 4 02 4 00 3 58 3 56 3 54 3 52 3 49 40 SO 2 06 2 05 2 04 2 03 2 02 2 01 2 00 1 59 158 1 ^7 156 1 55 50 12 OO 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 287 AZIMUTH OR TRUE BEARJNG. LATITUDE 70°. DECUNATION- -SAME NAME AS— LATITUDE. LATITUDE 70°. Hour An gle. 48° 49° 50° 51° 52° 53° 54° 55° 56° 57° 58° 59° Hour Angle. It. m. o / / t / / t / / 1 1 / / ]>. m. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 00 10 175 32 175 25 175 18 175 11 175 02 174 51 174 4° 174 28 174 14 173 57 173 38 173 16 10 20 171 06 17° 53 170 38 170 23 170 05 169 46 169 23 168 59 168 31 167 59 162 08 167 21 166 38 20 30 166 41 166 22 166 01 165 37 165 12 164 43 164 n I°3 36 162 55 161 15 160 12 30 40 162 21 161 55 161 28 160 57 160 24 159 47 159 °5 158 19 157 28 156 28 155 20 154 01 40 50 158 04 157 33 157 00 156 23 155 43 154 58 154 09 153 13 152 11 151 °i 149 4i 148 08 50 1 00 153 52 153 17 152 38 151 56 151 09 150 18 149 21 148 19 147 °9 145 49 144 19 142 36 1 OO 10 149 47 149 07 148 24 147 3° 146 44 145 47 144 45 143 36 142 18 140 52 139 M 137 24 10 20 145 48 145 04 144 16 143 24 142 29 141 27 140 20 139 °5 137 42 136 11 134 28 132 32 20 30 141 55 138 08 141 07 140,17 139 22 138 22 137 16 13° 05 134 47 133 21 131 43 129 58 128 00 30 40 137 18 136 25 135 27 134 24 133 15 132 02 130 40 129 12 127 33 125 45 123 45 40 50 134 3° 133 37 132 42 131 41 13° 35 129 26 128 10 126 46 125 16 123 37 121 48 "9 47 . 50 2 00 130 57 13° °3 129 06 128 04 126 56 125 44 124 27 123 03 121 31 119 52 118 03 116 04 2 00 10 127 31 126 36 125 38 124 34 123 26 122 13 120 55 119 3° 117 59 116 19 "4 31 112 34 lO 20 124 12 123 16 122 16 121 12 120 04 118 51 "7 32 116 08 "4 37 112 59 in 12 109 17 20 30 120 59 120 02 119 02 "7 57 116 49 "5 3° 114 18 112 53 in 23 109 47 108 02 106 09 30 40 "7 52 "6 55 "5 54 114 50 "3 41 112 29 III II 109 48 108 19 106 44 105 01 103 11 40 50 "4 5i "3 54 112 53 ill 50 no 41 109 28 108 12 106 50^ 105 22 103 50 102 09 100 22 SO 3 OO in 56 no 58 109 58 108 54 107 46 106 35 105 20 I°3 59 102 33 101 02 99 25 97 4i 3 OO lO 109 05 108 08 . 107 08 106 05 104 58 103 47 102 33 101 14 99 5°. 98 21 96 46 95 °5 lO 20 106 19. 105 21 104 23 103 20 102 15 101 05 99 53 98 34 97 13 95 46 94 14 92 36 20 30 103 37 102 41 101 42 100 41 99 36 98 28 97 17 96 01 94 41 93 17 91 4° 90 12 30 40 10059 100 04 99 °7 98 07 97 02 95 55 94 46 93 32 92 14 9° 52 8925 87 53 40 50 98 26 97 32 9° 35 95 35 94 32 93 28 92 19 91 08 89 5i 88 31 87 06 8538 50 4 00 95 57 95 03 94 07 93 °8 ■92 07 91 "4 89 57 8847 87 34 86 16 84 54 83 27 4 OO 10 93 28 92 3° 91 42 90 45 89 45 88 42 87 37 86 29 85 17 84 01 82 42 81 20 lO 20 91 05 90 14 89 21 88 24 87 25 86 25 85 21 84 15 8305 81 52 8035 79 15 20 30 88 44 87 54 87 02 86 06 85 09 84 10 83 °9 82 04 80 56 79 45 78 30 77 13 30 40 86 26 85 37 84 46 83 52 8256 81 59 So 59 79 55 78 5° 77 4i 76 28 75 13 40 50 84 11 83 22 82 33 81' 40 80 45 79 49 78 51 77 49 76 46 75 38 74 29 73 17 SO 5 00 81 56 81 09 80 21 79 3° 783° 77 42 76 46 75 45 74 43 73 39 72 31 , 71 21 5 00 lO 79 45 78 59 78 II 77 21 76 30 75 36 74 4i 73 43 72 44 7i 41 7° 35 69 27 10 20 77 36 76 5i 76 04 75 1° 74 25 73 34 72 4° 7i 44 70 46 69 45 68 41 67 36 20 30 75 27 74 44 73 58 73 " 72 22 7i 31 70 40 6945 68 48 67 50 66 49 65 45 30 40 " 73 21 72 38 71 53 71 °7 70 20 69 30 68 40 6748 6653 65 57 64 57 °3 55 40 50 71 16 7° 35 69 52 69 07 68 21 67 33 66 45 °5 53 65 00 64 05 63 07 62 09 50 6 OO 69 12 6831 67 50 67 06 66 21 65 36 64 48 6358 63 07 62 13 61 18 60 21 6 OO lO 67 09 65 08 66 30 65 49 65 °7 64 24 °3 39 62 53 62 05 61 15. 60 23 59 29 58 35 10 20 64 30 °3 5" 63 10 62 27 61 44 60 59 60 13 59 25 58 35 57 44 56 50 20 30 63 08 62 31 61 52 61 12 60 31 59 49 59 °7 58 21 57 35 5° 47 55 57 55 06 ;30 40 61 07 60 32 59 55 59 16 5836 57 55- '57 14 5° 3i 55 4° 54 59 54 11 53 22 40 50 59 °9 58 33 57 58 57 2° 5° 42 5° °3 55 23 54 41 53 58 53 13 52 26 51 39 50 7 OO 57 10 56 37 56 02 55 27 54 49 54 11 53 32 52 51 52 09 51 27 5° 42 49 56 7 OO 10 55 13 54 40 54 06 53 31 52 55 52 20 51 42 51 °3 50 22 49 41 4858 48 13 lO 20 53 16 52 45 52 12 5i 38 51 °4 5028 49 53 49 15 48 36 47 5° 47 15 46 32 20 30 51 19 50 49 50 18 49 45 49 12 48 39 48 03 47 27 46 50 46 II 45 31 44 51 30 40 49 24 48 54 48 25 47 53 47 21 46 48 46 15 45 40 45 04 44 27 43 49 43 °9 40 50 47 28 46 59 4° 31 46 01 45 3° 44 59 44 27 43 53 43 19 42 43 42 07 41 30 50 8 OO 45 33 45 °° 44 37 44 08 43 39 43 °9 4238 42 06 41 34 4° 59 40 24 39 48 8 OO 10 43 37 43 12 42 45 42 17 4i 49 41 21 40 51 40 20 39 49 39 1° 38 42 38 09 10 20 41 43 41 18 4° 53 * 40 26 39 59 39 32 39 °3 3 ! 3 2 38 04 37 33 37 °I 36 29 20 30 39 48 39 24 39 °° 3f35 38 09 37 43 37 16 3648 36 20 35 5° 35 19 34 48 30 40 37 54 37 32 37 °8 3° 44 36 19 3S 54 35 29 35 °3 34 35 34 °7 33 38 33 09 40 50 36 00 35 39 35 16 34 53 34 3° 34 °7 33 42 33 17 32 51 32 24 31 57 31 29 50 9 00 34 05 33 45 33 24 33 °3 32 41 32 18 31 55 31 32 31 °7 30 42 3° 15 29 49 9 00 lO 32 12 31 53 31 33 31 12 30 51 30 3° 30 09 29 46 29 23 2859 28 35 28 10 10 20 30 18 30 00 29 4i 29 22 29 03 28 43 28 23 28 02 27 39 27 17 26 54 26 30 20 30 28 24 28 08 27 5° 27 32 27 13 26 54 26 36 26 16 25 55 25 34 25 13 24 5° 30 40 26 31 26 15 25 59 25 42 25 24 25 °7 24 49 24 31 24 11 23 51 23 32 23 n 40 50 24 37 24 22 24 °7 23 52 23 35 23 20 23 °3 22 46 22 28 22 10 21 51 21 32 50 10 00 22 44 22 30 22 16 22 02 21 46 21 32 21 17 21 01 20 44 20 27 20 to 19 53 10 00 10 20 50 20 37 20 24 20 II 19 58 19 44 19 30 19 15 19 01 18 45 18 29 18 13 10 20 18 57 18 45 18 33 18 21 18 09 17 57 17 44 17 3° 17 16 17 °3 16 49 16 34 20 30 17 03 16 52 16 42 16 31 16 20 16 09 15 58 15 45 15 33 15 20 15 08 14 54 30 40 15 °9 15 00 14 5° 14 41 14 31 14 21 14 n 14 00 13 5° 13 39 13 26 13 15 40 50 13 1° 13 °8 13 00 12 51 12 43 12 34 12 25 12 16 12 06 11 56 II 46 II 36 50 11 OO 11 22 II 15 n 08 II ot 10 53 10 46 10 38 10 30 10 22 10 14 10 05 9 57 11 00 lO 9 23 9 22 9 17 9 11 9 °4 8 59 852 8 45 8 38 8 32 8 25 8 17 10 20 7 35 7 30 7 25 7 21 7 16 7 10 7 05 7 00 6 55 6 49 6 44 6 38 20 30 5 4i 5 38 5 34 5 31 5 27 5 23 5 19 5 15 5 11 5 °7 5 03 4 58 30 40 3 48 3 45 3 43 3 40 3 37 3 35 3 '33 3 30 3 27 3 25 3 22 3 18 40 50 1 54 I 53 1 51 1 50 1 49 1 47 1 46 1 45 1 44 I 42 1 41 I 40 50 12 00 00 00 00 00 00 00 00 00 00 00 00 00 12 OO In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. 288 AZIMUTH OR TRUE BEARING. LATITUDE 70°. DECLINATION— SAME NAME AS— LATITUDE. LATITUDE 70°. Hour Angle. 60° 61° 62» 63° 64° 65° 66° 67° 68° 69° 70° Hour Angle. Ii. in. o / / / / / / r / / / / Ii. 111. 00 180 oo 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 180 00 CO 10 172 50 172 17 171 36 170 44 169 36 168 01 165 39 161 51 154 42 137 37 88 49 10 20 165 46 164 43 163 26 161 47 159 39 156 44 152 34 146 14 135 48 117 22 87 39 20 30 158 57 157 29 155 39 153 23 150 29 146 38 141 23 133 59 123 07 107 18 86 28 30 40 40 152 28 150 37 148 23 145 39 142 14 137 52 132 09 124 34 114 26 101 13 85 18 50 146 21 144 14 141 42 138 40 134 58 130 22 124 35 117 17 108 09 9 6 57 84 °7 SO 1 OO 140 37 138 19 135 38 132 25 128 35 123 57 118 19 in 30 103 17 93 41 ! 25 Z 1 00 lO 135 18 132 52 130 05 126 48 122 58 118 25 113 03 106 46 99 23 91 00 81 46 10 20 20 130 21 127 53 125 03 121 46 117 59 "3 37 108 34 102 44 96 06 88 40 8035 30 125 46 123 17 120 27 117 14 "3 34 109 24 104 38 99 16 93 15 86 34 79 24 30 40 121 3 2 119 02 116 14 113 07 109 35 105 38 101 09 96 II' 90 41 84 4i 78 14 40 50 117 35 115 08 112 24 109 22 l°5 59 102 14 98 04 93 28 88 24 82 54 77 »3 50 2 00 113 53 III 28 108 50 105 54 102 41 99 oS 95 12 ' 2° 55 86 15 81 13 75 52 2 00 lO no 26 108 05 105 31 102 44 99 39 96 17 92 35 8835 84 15 79 36 74 4i lO 20 107 12 104 55 102 27 99 45 96 49 93 38 90 10 86 25 82 23 78 03 73 29 20 30 104 07 i°i 55 99 32 96 57 94 10 91 08 87 52 84 21 8035 76 35 72 18 30 40 101 12 99 °5 96 48 94 20 91 39 88 47 8541 82 23 7851 75 05 71 06 40 50 98 27 96 25 94 12 91 49 89 17 86 33 83 38 80 30 77 10 73 39 °9 55 50 3 00 95 49 93 51 91 44 89 27 87 01 84 26 81 40 78 42 75 33 72 14 68 43 3 00 10 93 18 91 23 89 21 87 10 8451 82 22 79 44 7° 57 73 59 70 49 67 31 10 20 90 51 89 02 87 04 84 59 82 46 80 24 77 54 75 14 72 26 69 28 66 20 20 30 88 32 86 45 84 52 82 52 80 45 78 30 76 07 73 35 7° 54 68 06 65 07 30 40 86 16 84 33 82 44 80 49 78 48 76 39 74 22 71 58 °9 25 66 44 63 55 40 50 84 04 82 26 80 41 78 51 76 54 74 50 72 39 70 22 67 56 °5 23 62 43 50 4 00 81 57 80 22 7841 76 55 75 03 73 05 71 00 68 48 66 29 64 03 61 31 4 00 lO 79 52 78 20 76 43 75 01 73 14 71 20 69 21 67 16 65 02 62 43 60 18 10 20 77 50 76 21 74 48 73 10 71 27 69 39 67 44 65 44 63 37 61 24 59 °5 20 30 75 51 74 26 72 56 71 22 69 42 67 58 66 08 64 13 62 12 60 0$ 57 52 30 40 73 55 72 32 71 06 69 35 68 00 66 20 64 34 62 44 60 48 5846 5° 39 40 50 72 01 70 41 69 17 67 50 66 18 64 42 63 01 61 16 59 24 57 27 55 25 50 5 00 70 08 68 51 67 30 66 06 64 38 63 05 61 28 59 47 58 00 5° 09 54 12 5 00 lO 68 17 67 03 65 45 64 23 62 58 61 30 59 57 58 20 5° 37 54 50 52 58 lO 20 66 27 65 15 64 01 62 42 61 21 59 5° 58 22 58 26 56 53 55 26 55 14 53 31 51 44 20 30 64 39 63 30 62 18 61 02 59 44 5656 53 52 52 13 5° 3° 30 40 62 52 61 45 60 36 59 23 58 08 5648 55 25 53 59 52 29 50 54 49 15 40 50 61 07 60 03 58 55 57 45 56 33 55 17 53 57 52 34 51 07 49 3° 48 02 50 6 OO 59 21 58 20 57 15 56 07 54 57 53 44 52 27 51 08 49 44 4° 23 48 18 46 47 6 00 10 57 37 5° 37 55 35 54 30 53 23 52 13 50 59 4 °43 46 59 45 32 10 20 55 54 . 54 57 53 57 52 55 51 50 5° 43 49 32 48 03 48 18 47 01 45 40 44 1° 20 30 54 12 53 17 52 19 51 19 50 17 49 12 46 53 45<28 45 39 44 21 43 01 30 40 52 30 51 37 5° 41 4 § 4 3 48 44 47 4i 46 36 44 16 43 02 41 45 40 50 50 49 49 58 49 °4 / 48 08 47 " 46 11 45 09 44 °3 42 55 41 44 40 29 50 7 OO 49 09 47 28 48 19 47 28 46 34 45 39 44 41 43 4° 42 38 41 33 40 25 39 13 7 00 10 46 41 45 51 45 00 44 07 43 11 42 13 41 H 40 11 39 05 37 57 10 20 45 48 45 03 44 15 43 26 42 34 41 42 40 46 39 49 38 49 37 46 3° 41 20 30 44 08 43 25 42 39 4i 52 41 03 40 12 39 19 38 25 37 27 36 26 35 24 30 40 42 29 4i 47 41 04 40 18 39 32 38 43 37 52 37 00 36 05 35 08 34 °7 40 50 40 50 40 10 39 29 38 46 38 01 37 14 36 25 35 35 34 43 33 48 32 51 50 8 00 39 " 38 33 37 53 37 12 36 29 35 45 34 58 34 11 33 20 32 27 31 33 8 OO 10 37 32 36 57 36 19 35 39 34 58 34 16 33 32 32 46 31 58 31 08 30 16 lO 20 35 55 35 19 34 43 34 05 33 26 32 47 32 05 31 21 3° 35 29 48 28 58 20 30 34 15' 33 43 33 08 32 33 31 56 31 17 30 37 29 56 29 13 28 27 27 41 30 40 32 38 32 07 3: 33 30 59 30 24 29 49 29 10 28 31 27 50 27 07 26 23 40 50 31 00 30 31 29 59 29 27 28 53 28 19 27 43 27 06 26 28 25 47 25 05 50 9 00 29 22 28 54 28 24 27 54 27 23 26 50 26 15 25 41 25 °4 24 27 23 47 9 00 10 27 43 27 17 26 49 26 20 25 51 25 20 24 48 24 16 23 41 23 05 22 28 10 20 26 06 25 41 25 15 , 24 48 24 21 23 52 23 22 22 51 22 19 21 45 21 10 20 30 24 28 24 04 23 40 23 16 22 49 22 23 21 55 21 25 20 56 20 24 19 5i 30 40 22 50 22 28 22 06 21 42 21 18 ' 20 53 20 27 20 00 19 32 19 °3 18 32 40 50 21 12 20 52 20 31 20 09 19 47 19 24 1859 IS 35 18 09 17 42 17 13 50 10 00 19 35 19 16 18 57 18 37 18 16 17 55 17 33 17 10 16 46 16 21 15 55 lO OO 10 17 56 17 40 17 22 17 04 16 45 16 25 16 04 15 44 15 22 14 59 14 35 10 20 16 19 16 04 1548 15 31 15 14 14 56 14 37 14 18 13 58 13 38 13 16 20 30 14 41 14 27 14 12 13 58 13 42 13 26 13 10 12 53 12 34 12 16 11 57 30 40 13 03 12 51 12 38 12 25 12 11 11 57 11 42 n 27 II 10 10 54 10 37 40 50 II 25 II 14 11 03 10 52 10 40 10 27 10 14 10 01 9 48 9 33 9 18 50 11 00 948 9 39 9 29 9 18 9 09 8 58 8 46 8 35 823 8 II 7 58 11 00 10 8 10 8 01 7 54 7 46 7 37 7 28 7 19 7 10 ° 59 6 49 6 39 lO 20 6 32 6 26 6 19 6 12 6 06 5 58 5 51 5 43 5 36 5 28 5 19 20 30 4 54 4 49 4 45 4 40 4 34 4 29 4 23 4 18 4 12 4 06 3 59 30 40 3 16 3 12 3 10 3 06 3 <=3 2 59 2 56 2 52 2 48 2 44 2 40 40 50 1 37 1 36 I 35 I 33 I 31 1 30 1 28 1 26 1 24 I 22 I 20 50 12 00 00 00 00 00 00 00 00 00 00 00 00 12 00 In North latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from North to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from North to West. In South latitude, when the star is rising or East of the meridian, the tabulated azimuths are reckoned from South to East; and when the star is setting or West of the meridian, the tabulated azimuths are reckoned from South to West. When the latitude and declination are of different name, the tables are to be entered with the supplement of the hour angle and the supplement of the tabulated azimuth is to be taken for the required true bearing. o ■ ■