WASHINGTON OBSERVATIONS FOR 1872.-APPENDIX I. TAB LES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS FOR THE REDUCTION OF TRAN S I T O B S E RVAT I O N S MADE AT THE U. S. NAVAL OBSERVATORY. PREPARED BY PROFESSOR JOHN R, EASTMAN, U. S. N. W A S H I N G T O N: GOVERNMENT PRINTING OFFICE. 1873. TABLE OF CONTENTS. SPECIAL TABLES FOR DETERMINING THE AZIMUTH CONSTANT. Page. Explanation of Tables.............. 7 Tables of Azimuth Corrections and Constants.................... 8 Tables of Azimuth Corrections and Constants, S. P................... I Tables of Level Corrections and Constants...................... 12 Tables of Level Corrections and Constants, S. P...................... I4 Tables of Collimation Corrections and Constants................... I6 GENERAL TABLES OF INSTRUMENTAL CORRECTIONS. Explanation of Tables..................... 2 Tables of Azimuth Corrections......................... 24 Tables of Level Corrections.......................... 36 Tables of Collimation Corrections....................48 TAB LES FOR DETERMINING THE AZ I M U T H CON STANT FROM OBSERVATIONS OF a, 6, AND A URSAE MINORIS AND 5I CEPHEI, AT THE UNITED STATES NAVAL OBSERVATORY. E X PLAN ATI O N. In the following tables the first column on each page contains the Constant from o8.o I to 08.50, inclusive. The remaining columns contain the Corrections. The argument is the declination of the star, and is found at the top of each column of the Corrections. The correction for azimuth is denoted by Aa. The correction for level is denoted by Bb. The correction for collimation is denoted by Cc. For the methods of determining the values of the factors A, B, and C, and the constants a, b, and c, see "Introduction to the Observations with the Transit Circle, 8 70." 8 ~~~~~TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, A.48 Argument: Declination of Star. The Correction and the Constant have opposite signs. Declination of Star. 860 35' 36' 37' 38' 39' 87~ 9' 10' II' 12' 13' 14' 15' 880 36' 37' 38'!39' 40' 41' 42' 43' 44' 45' 46' s. s. s. s. 5. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 5. s. 0.01 0.12 0.12 0.1I3 0.13 0.13 0.15 0.1I5 0.15 0.1I5 0.1I5 0.1$ o. I6 0.31 0.32 0.32 0.32 0.33 0.33 0.34 0.34 0.351 0.35 0.36.02.25.25.25.25o.25 0.30 0.30 0.30 0.31 0.31 0.31 0.31 0.62 0.63! 0.64 0.65 o.66 o.66 0.67 o.68 0.69! 0.70 0.71.03 0.37 0.3 0.38 0.38 0.38 0.45 0.45 0.46 0.46 0.46 0.46 0.47 0.94 0.95~ 0.96 0.97 0.98 1.00 1.01 1.02 1.04 1.05 1.07.04 0.5 0o.50 0.50 0.50 0.51 o.6o o.6o o.61 o.61 0.62 0.62 0.62 1.25 1.26 1.28 1.30 1.31 1.33 1.35 1.36 1.38 1.40 1.42. 05 0.62 0.62 0.63 0.63 0.63 0.75 0.76 0.76 0.76 0.77 0.78 o.78 1.56 1.58 1.6o 1.62 1.64 1.66 1.68 1.71 1.73i 1.75 i.78 o.o6 0.74Z 0.75 0.75 0.76 0.76 0.90 0.91 0.91 0.92 0.92i 0.93 0.93 1.87 1.90 1.92 1.94 1.97 1.99 2.02 2.05 2.07 2.10 2.13.07 0.87 0.87 0.88 o.88 0.89 1.05 i.o6 1.o6 1.07 i~o8 1.08 1.09 2.18 2.21 2.24 2.27 2.30 2.33 2.36 2.39 2.42Z 2.45 2.49.o8 0.99 1.00 1.00 1.01 1.01 1.20 1.21 ~1.22 1.22 1.23 1.24 1.25 2.50 2.53 2.56 2.59 2.62 2.66 2.69 2.73 2.77 2.80 2.84.09 1.1 1.12 1.13 1.13 1.14 1.35 1.36 1.37 1.38 1.39 1.39 1.40 2.81 2.84 2.88 2.92 2.95 2.99 3.03 3.07 3.1 3.15 3.10.10 1.24 1.25 1.25 1.26 1.27 1.50 1.51 1.52 1.53 1.54 1.55 1.56 3.12 3.16 3.20 3.24 3.28 3.32 3.37 3.41 3.46 3.50 3.55 0.11 1.361.371.381.391.39 1.65 1.66 1.67 r.68 1.69 1.70 1.71 3.43 3.48 3.52 3.56 3.61 3.66 3.70 3.75 3.8 3.85 3.91.12 1.49i 1.50 1.50 1.51 1.52 1.8o 1.81 1.82 1.84 1.85 1.86 1.87 37.938.939.940.941.042.I3.I 61.I62 1.63 1.64 1.6 195.6198.9200.1 2.0 4.67 4. 416 4.21 4.27 4.32 4.38 4.44 4.9' 4.642.14 1.74 1.75 1.76 1.76 1.77 2.10 2.11 2.13 2.14 2.16 2.17 2.18 4.3 4.42 4.48 4.54 4.59 4.65 4.71 4.78 4.84 4.91 4.97.15 1.86 1.87 1.88 1.89 1.90 2.25 2.26 2.28 2.30 2.31 2.32 2.34 4.68 4.74 4.80 4.86 4.92 4.99 5.05 5.12 5.19 5.26 5.33 O.16 1.98 2.00 2.01 2.02 2.03 2.40 2.42 2.43 2.45 2.46 2.48 2.49 4.99 5.06 5.12 5.i8 5.25 5.32 5.35.6.3561.68.17.11.12.13.142.15 2.55 2.57 2.58 2.60 2.62 2.63 2.65 5.31 537 5.44 5 5I 5 5. 565 5.72'5.8 5.88 5.96 6.04.18 2.231 2.24 2.26 2.27 2.28 2.70 2.72 2.74 2.75 2.77 2.79 2.80 5.62 5.69 5.76 5.83 5.91 5.98 6.o6 6.1 6.22 6.31 6.39 ~.I9 2.36 2.37 2.38 2.39 2.41 2.85 2.87 2.89 2.91 2.92 2.94 2.96 5.93 6.oo 6.O8 6.I6 6.23 6.32 6.40 6.4 6.57 6.66 6.75.20 2.48 2.49 2.5I 2.52 2.53 3.00 3.02 3.04 3.06 3.081 3.I0 3.12 6.24 6.32 6.40 6.48! 6.56 6.65 6.73 6.8 6.91 7.01 7.10 0.21 2.60 2.62 2.63 2.65 2.66 3.15 3.17 3.19 3.21 3.23 3.25 3.27 6.56[ 6.64 6.72 6.8o 6.89 6.98 7.07 7.17 7.26 7.36 7.46.22 2.73 2.74 2.76 2.771 2.79 3.30 3.32 3.34 3.37 3.39 3.41I.3 68I.570471.273.1.176.178 ~.23 2.85 2.87 2.88! 2.90 2.1 34.735.235.63.58 7.18 7.27 7.36 7.45 755 7.64 7.74 7.85 7.95 8.o6 8.17.24 2.98 2.99 3.01 3.02 3.04 3.60 3.62 3.65 3.67 3.69 3.72 3.74 7.49 7.58 7.68 7.78 7.87 7.98 8O8 8.19 830 8.41 8.-52 ~.25 3.1 3.12 3.13 3.15 3.17 3.75 3.78 3.80 3.82 3.85 3.87 3.90 7.80 7.90 8.oo 8.io 8.~20 8.31 842 8.53 8.64 8.76 8.88 0.26 3.22 3.2!3.26 3.28 3.29 3.90 3.93 3.95 3.98 4.00 4.02 4.05 8,12 8.22 8.32 8.42 8.53 8.64 8.75 8.87 8.99 9.11 9.24.27 3.35 3.37! 3.39 3.40 3.42 4.05 4.08 4.10 4.13 4.16 4.18 4.21 8.43 8.53 8.64 8.75 8.86 8.97 9.091 9.21 9.33 9.46 9.59.28 3.47 3.49 3.51 3.53 3.55 4.20 4.23 4.26 4.28m 4.31 4.33 4.36 8.74 8.85 8.96 9.07 9.19 9.31 9.431 9.55 9.68 9.81 9.95.29 3.60 3.62 3.64 3.65 3.67 4.35 4.38 4.41 4.44 4.46 4.49 4.52 9.05 9.16 9.28 9.40 9.51 9.64 9.76 9.8910.0310.I610o.30.30 3.72 3.74[ 3.76 3.78 3.80 4.50 4.53 4.56 4.59 4.62 4.64 4.67 9.36 9.48 9.60 9.72 9.84 9.97IO0.100O.2410.3710.5II10.66 0.31 3.84 3.87 3.89 3.91 3.93 4.65 4.68 4.71 4.74 4.77 4.80 4.83 9.681 9.80 9.92I10.0410.1710.30I0.44 10.58IO0.72IO0.8611.01.32 3.97 3.99 4.01 4.03 4.05 4.80 4.83 4.86 4.90 4.93 4.95 4.99 9.991o.IIIo.241o.371o.5o1o.641o.771o.9211l.O6II.2I11.37.33 4.09 4.12 4.14 4.16 4.r8 4.95 4.98 5.02 5.05 5.08 5.11 5.1 OI.3OIO.431o.56IO.69IO.831IO.971II.III.2611.4I1i.5611.72.34.22.24.26.284.31 5.10 5.13 5.17 5.20 5.23 5.26 530 10.6110O.7410o.881~1.0211.16]i1.30111.45 11.601I1.75 11.91 12.08.35 4.34 4.36 4.39 4.41 4.43 5.25 5.28 5.32 5.36 5.39 5.42 5.45 10.9311.0611.2011.34II.4811.63111.7811.9412.IO2I 61.4 0.36 4.46.9 4.51 4.54 4.56 5.40 5.44 5.47 5.51 5.54 5.57 5.61 11.24 11.3811.5211.66II.81 11.9712.12 12.2812.45 12.61 12.79.37 459 4.61 4.64 4.66 4.69 5.55 5.59 5.62 5.66 5.70 5.73 5.76 11.55II1.69 11.84 11.9912.14 12.30o12.46 12.62 12.79!I2.96113.14.38 4.71 4.74 4.76 4.79 4.81 5.70 5.74 5.78 5.8i 5.85 5.88 5.92 I1.8612.oII2, I612.31I2.47I2.6312.7912.9713.I4I3.323. 5o.39 4.84 4.86 4.89 4.91 4.94 5.85 5.89 5.93 5.97 6.oo 6.04 6.o8 12.1812.3212.4812.6412.8012.9613.1313.3113.4813.6713.85 ~.40 4.96 4.99 5.02 5.04 5.07 6.oo 6.04 6.o8 6.12 6.I6 6.19 6.23 12.4912.6412.8o12.9613.i21331.41.51.34.242 0.41 5.08 5.11 5.14 5.17 5.19 6.1i~ 6.19 6.23 6.27 6.31 6.35 6.39 I2.'8012.9613.1213.2813.45'r3.6313.8013.9914.I714.3714.56.42 5.21 5.24 5.27 5.29 5.32 6.30 6.34 6.38 6.43 6.47 6.5o 6.54 13.11 T3.27 13.4413.611I3.781I3.961~4.14 14.33 14.52 14.7214.92 ~.43 5.33 5.36 5.39 5.42 5.45 6.45 6.49 6.54 6.58 6.62 6.66,6.70 I3.4213.59!3.7613.9314.1114.3OI4.4814.6714.8715.O715.27 ~.44 5.46 5.49 5.52 5.54 5.57 6.6o,6.64 6.69 6.73 6.77 6.8I 6.86 13.7413.9014.0O814.2614.4414.6314.81I1I5.0O115.2115.4215.63.45 5.856.456.0 6.75 6.8o 6.84 6.88 6.93 6.97 7.01 I4.0514.221r4.4o14.5814.7614.9615.1515.3515.56115.7715.98 0.46 5.70 5.74 5.77 5.80 5.83 6.90 6.95 6.99 7.04 7.08 7.I2 7.I7 I4.3614.5414.7214.9o15.o915.2915.4915.7o15.9oI6.1216.34 ~.47 5.83 5.86 5.89 5.92 5.95 7.05 7.10 7.14 7.19 7.24 7.28 7.32 I4.6714.8515.o415.2315.4215.6215.8216.0416.2516.4716.69. 48 56.95 5.99 6.02 6.o5 6.o8 7.20 7.25 7.30 7.34 7.39 7.43 7.48 14.98 I5.17115.36 15.55 I5.75i15.961611.8651.270.40 6.o8 6~26.4 6.71 6.21 733.4.5750 75.97633 15.3015.481:5.68 15.88 16.O8 16.2916.50 16.72 16.94 17.1717.40.50.206.2 6.2r 630.33 7.50 7.55 7.60 7.64 7.69 7.74 7.79 15.6115.8o16.OOr6.2Oii6 41 16.6216.83r17.0617.29I7.5217.76 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THE AZIMUTH CORRECTION, A/a, The Correction and the Constant Argument: Declination of Star. have opposite signs, 0 Declination of Star. 88~ 47' 48' 49' 50' 51' 52' 53' 54' 55' 56' 57' 58' 59' 89f o' I t 2' 3' 4' 5' 6' 71 8' 9 S. S. S. S. S. S. S. S. S. S. S. 5. 5. 5. S. S. S. S. S. S. S. S. S. S. O.0I 0.36 0.37 0.37 0.38 0.38 0.39 0.39 0.40 o0.4I 0.41 0.42 0.43 0.43 0.44 0.45 0.45 0.46 0.47 0.48 0.49 0.50 0.51 0.52.02 0.72 073 0.74 0.75 0.76 0.77 0.79 0.80o o.8i 0.82 O.84 0.85 o.86 0.88 0.89 o.9II 0.93 0.941 O.96l O.981 I.0O I. 04.03 I.O8 1.10 I- I.13 1.4 i.i6 i.i8 I.20 1.22 1.24 I.26 1.28 1.30 1.32 I.3114 I.36 139 1.41 I.44 147 1.50 1.52 I.55 ~.04 I44 1.46 1.48 1.50 1.53 1.55 1.57 i.60o 1.62 i.65 1.67 1.70 1.73 1.76 1.79 1.82 1.85 1.89 1.92 1.96 1.99 2.03 2.07.05 i.8o 1.83 1.85 i.88 1.91 1.94 1.96 2.00 2.03 2.06 2.09 2.13 2.16 2.20 2.24 2.28 2.32 2.36 2.40 2.45 2.49 2.54 2.59 0.06 2.16 2.19 2.22 2.26 2.29 2.32 2.36 2.39 2.43 2.47 2.51 2.55 2.60 2.64 2.68 2.73 2.78 2.83 2.88 2.94 2.99 3.05 3.1I.07 2.52 2.56 2.59 2.63 2.67 2.7 2.751 2.79 2.84 2.88 2.93 2.98 3.03 3.08 3.I3 3.18S 3.24 3.30 3.36 3.42 3.49 3.56 3.63.o8 2.88 2.92 2.96 3.o01I 3.05 3.10 3I4 3.I9 13.24 3.29 3.35 3.40 3.46 3.52 3.58 3.64 3.70 3.77 3.84 3.91 3.99 4.07 4.15 09 3.24 3.29 3.33 3.38 3.43 3.48 3.54 3.59 3.65 3.7I1 3.77 3.83 3.89 3.96 4.02 4-1 4.I7 4.24 4.32 4.40 4.49 4.57 4.66.10 3.6o 3.65 3.71 3.76 3.81 3.87 3.93 3.99 4.05 4.12 4.18 4.25 4.32 4.40 4.47 4.55 4.63 4.7I 4.80 4.89 4.99 5.08 5.i8 O.II 3.96 4.02 4.08 4.14 4.20 4.26 4.32 4.39 4.46 4.53 4.60 4.68 4.76 4.84 4.92 5.00oo 5.09 5.I9 5.28 5.38 5.48 5.59 5.70.12 4.32 4.38 4.45 4.5I/ 4.58 4.65 4.72 4.79 4.86 4.94 15.02 50I 5.19 5.28 5.37' 5.46 5.56[ 5.66 5.76 5.871 5.98 6.Io 6.22.13 4.68 4.75 4.82 4.89 4.96 5.03 51II 5.19 5.27 5.35 5.44 5.53 5.62 5.71 5.8[ 5.92 6.02 6.13 6.24 6.36 6.48 6.61i 6.74.14 5.04 5.II 5'.19 5.2 5.34 5.42 5.50 5. 5.67 5.76 5.86 5.95 6.o5 65 6.26 6.37 6.48 6.6o 6.72 6.85 6.98 7.12 7.26.15 5.40 5.48 5.56 5.64 5.72 5.8I 5.90 5.98 6.oS 6.i8 6.28 6.38 6.48 6.59 6.71o 6.82 6.94 7.07 7.20 7.34 7.481 7.62 7.77 o.i6 5.76 5.84 5.93 6.02 6.io 6 19 6.29 6.38 6.48 6.59 6.69 6.8o 6.92 7.03 7.16 7.28 7.41 7.54 7.68 7.83' 7.98 8.13 8.29.17 6.12 6.21 6.30 6.39 6.48 6.58 6.68 6.78 6.89 7.00 7.11 7.23 7.35 7.47 7.60 7.74 7.87 8.02 8.i6 8.32 8.47 8.64 8.8i.is 6.48 6.58 6.67 6.77 6.87 6.97 7.07 7.18 7.p0 7.41 7.53 7.65 7.78 7.91 8.o5 8.19 8.33 8.49 8.64 8.81 8.97 9.15 9.33.19 6.84 6.94 7.04 7.14 7.25 7.35 7.47 7.58 7.70 7.82 7.95 8.o8 8.21 8.35 8.50 8.64 8.8o 8.96 9.12 9.29 9.47 9.66 9.85.20 7.20 7.3I 7.41 7.52 7.63 7.74 7.86 7.98 8.ii 8.23 8.37 8.50 8.65 8.79 8.94 g.IO 9.26 9.43 9.60 9.78 9.97- [0.16 I037 0.21 7.56 7.67 7.78 7.90 8.oi 8.13 8.25 8.38 8.I 8.65 8.79 8.93 9.08 9.23 9.39 9.56 9.72 9. 90IO.0810.271IO.47100. 67 10o88.22 7.92 8.04 8.I5 8.27 8.39 8.52 8.65 8.78 8.92 9. 06 9.20 9.35 9.51 9.67 9.84 10.01 TO.9I.IO3 7 10.56IO76I0 97I I I1.40.23 8.28 8.41 8.52 8.65 8.77 8.90 9.04 9.18 9.32 9.47 9.62 9.78 9.94 10.11 10.29 10.4610.65I0.84II.04II.251I.4711.69 11.92.24 8.64 8.77 8.89 9.02 9.15 9.29 9.43 9.58 9.73 9.88 10.041 0.20 10.38 10.55 1IO 73 10.92 11.11 11.32 11.521.1.7411iI. 961I2.20 12.44.25 9.00 9.13 9.26 9.40 9.54 9.68 9.82 9.98 10.1310.29 10.4610O.63 10.81 I.99 11.18 II.38 I[58II.7912.0012.23I2.4612.71 12.96 0.26 9.37 9.50 9.63. 9.78 9.920.061IO.2210.37 10.54 10.70 10. 88.06 oI I.24 II.4311.63 Ii.8312.0I 2.26 12.4912.721I2.961I3.2I 1348.27 9.73 9.8610. 00 II.I510.30I0.4510i.6i 10.77 10. 94 II2II.30 11.481. 67 1ii.87 12.07 12.2812.5012.7312.97 13.21I3.46 13.72 13.99.28 I0.09 10.2310.371I0. 53.I0.6810.84 1I.001I.17 1I.35 1.5311.721 1. 9 12.I0I 12.31 12.52 12.74 12.961. 343.20 13413. 7013.9614.23 14.51.29 10.45 10.59 10-74 I0.90goi.o6 I I.23 II.401I1.57 11.75 11.9412.1I31I2.33 12.54 12.75 12.97 I3.20 13.43 I3.67 13.931 4.191 -4.461 4.74 I5.03.30 io.8i 1O.96 11.12 11.28 1I.44116 11. I79 11I.97 12.16 12.35 12.55 I2.76 12.97 13.19 13.42 13.65 13.89 14.1I4 14.41 I4.68 14.96 15.2-5 15.55 0.31 1.17 1I.32 I 1.49I.6611.82 I2.00oI2. IS8I2.37 12.56 12.76 12.9713. 181I3.40 I3.631I3.86 14.10 14.35 14.62 14.89 15.17 15 45 I 55.75 16.07.32 1I. 53 I I.69 1 r.86)12.03 12.20 I2.39 12. 58 12.77 12.971I3.17 13.3913.61 13.83 I44.07 14.31 14.56 r4. 82 15.09 15.37 15.65 15.95 16.26 16.59 33 11.89 12.05 1.42.232.4 1 12559 2.77 12.97 1317 1.313.5913.81 4.03 14.27 14.5 14.7 6 502 15.2 5. 5.851. 41.45 I6.77 I7.1 o34 I2.25 12.42 12.60 12.78 12.97 I3.16 13.36 13.57 13.78 14.00 14.23 14.46 14.70 14.95 15.20 15.47 15.741 o6 16.33 16.63 16.95 17.2[ 17.62.35 12.61 12.79 12. 97 13.-1 6 13.35 13.55 13.7613.97 14.19 14.41 14.64 14.88 15.13 15.39 15.65 15.92 16.20 16.50 6.8i 17.12 17.45 1 7.7 I8.14 0.36 12.97 13.15 13.34 1354 13.73 13.94 14.1I5 14.36 14.59 14.82 15.6 15.31 I5.56 15.83 i6.3o 16.3 16.67 16.97 17.29 17.61 17.95 I8.3c i8.66.37 I3.3313.5213.7'I3.9oi/4. I I4.3214.5414.76 15.001I5.2315.4815.7316.o i6.2716.55 6.84 17137.745 7.o.77I/8.31I8.44 88.8o I9.18.38 13.691I3.8814.0814.29I4.4914-7I 14-9315.16 15.4o0 5.6415.o - 6.16 6.43 16.70 6.99 7.29 7.59 I7.9218.258.598.949.31 1970.39 I4.057 4.25144851 4.66 14.8715.1 15.3315.56 15.81 6.66.3216.586.86 17.1417.44.1774 8. 8.398.73.o81944.82 20.21..40 14.4T14.611 4.82 150 I545.2615.4815.721596 16.2116.471 6.74 I7.0 17.29 I7.58.17.89 18.20I 8.52I 8.86/I9.21 9.5719.94720. 33 20.73 0.41r 14.7714.~985.1591 5.4215.~6415.8716.,111i6.36 1r6.621I6.881I7.151 7.431I7.72 18.0218s.34 1I8.661I8.98119.331 9.69/2o06o42o 12.4!2 15.131 15.34115.5 615.7916.0216~.261i6.511 6.76 127.021I7.29 17.571 7.861I8.16 18.46 1 8.7 19.11 19.45j 9.80120 17120. 55 2o.94121.34 21.77.43 I5.4915.715.9316.1764o16.6516.9o17.. 716 17.4317.7017.9918.288.52158.9019.23 395561991'20.27202.44 I5.85116.07 6. 301r6.541 6.781r7.0317.l291r 7.56 1r7.8318.11I18.411 8.711 9.0`2 19.3419r.68 20.0220.72 0.7 2132.52 21.93122.36 22.81I.45 16.211r6.44116.6716.92'7. 161I7.4217.68/I7.96 8.2418s.53 18.8319. 131~9.45 19. 7820.02 W20.4820.84212.22212.6122.01 22 43122 87 23.32 0.46'6.571r6.8o1r7.o 41r7. 3o1r7.54 7.81r8. o 8 18.35 1 r8.,641 8.91. gtjr,2_519.5619,89l 20.22120.57 ~20.932i.30,,2.69122.09 22.5o122.93/23.381 23.84.47 I6.9317.1717.1117.6717.9318.19 8.4718.75 19.0 19.359 9.920.32 20.6621.02 I2I.382I.76262 2 2..48 I7.2917.531 77.78/8.052 18.31!8.58 18.8619.15 1945 r9762o80 20.75 21.1021.47 o92I.2922.22322. 63923l 923.48 23.93o27 o39. 24 Io.88.49 87.65 8.907I8.925[ I8.42018.6918.97 9I9.26I4.55 o oo.86I912o.3I7[o.56oIo. 3IOI 21.52.91.97.I.4.23 I8.2-8 8.4 / r8.5 8.7 7/'9~;lrg,36II9~ 65 9~95 ~20.27 20.5920 92 2.6 2 2.75 23.1 23.57O241o. 24.4624.93I25.4I 1.92.50 i8.64/18.2618.5218.8o19. 19.3619.6519.95 21.9822.36 8. 25.92 2 72 App. J Io ~~~~~TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa., S. P. The Geitsn-tl has the same sign Argument: Declination of Star. as the Cre~ 0 - Declination of Star. 86' 35' 36' 3 7' 38' 39' 8 7' 9' I0' I I' 12' 13' 14' 15' 88" 36' 37' 38S' 39' 40' 41' 42' 43' 44' 45'r 46' S. S. S. S. S. S. S. S. S. S. 5. 5. S. S. 5. 5. S. S. S. S. 5. 5. S. 5S. 0. 01 0.401.401.4 O. i6 o. i6 O. i61 0.17 0.17 0.17 0.17 0. 32 0.33 0.33 0.34 0.34 0.34 0.35 0.35 0.3,6 0.36 0.37.02 0.27 0.27 0.28 0.28 0.28 0.33 0.33 0.33 0. 33 0.33 0.33 0.34 0.65 o.66 0.67 0.67 o.68 0.69 0.70 0.71 0.72 0.73 0.74.03 0.41 0.41 0.41 0.42 0.42 0.49 0.49 0.49 0.50 0.50 0.50 0.50 0.97 0.99 1.00 1.01 1.02 1.03 1.05 i.o6 I.07 1.09 1.10.04 0.515 0.55 0.55 0.55 0.56 o.65 o.65 o.66 o.66 o.67 0.67 0.67 1.30 1.31 I.33 1.35 1.36 I.38 I.40 1.41 1.43 I.45 1.47,.05 o.68 0.691 0.69 0.69 0.70 o.8i 0.82 0.82 0.83 0.83 0.84 0.84 i.62 i.64 i.66 i.68 I.70 1.72 1.75 1.77 I.79 1.81 1.84 o.o6 0.82 0.82 0.83 0.83 0.84 0.98 0.98 0.99 0.99 1.00 1.00 1.01 1.95 I.97 2.00 2.02 2.04 2.07 2.10 2.12 2.15 2.18 2.21.07 0.96 0.96 0.97 0.97 0.97 1.14 1.14 1.15 -I. i6 i.i6 1.17 I-18 2.27 2.30 2.33 2.36 2.38 2.4I 2.44 2.48 2.51 2.54 2.57.o8 1.09 1.10 1.10 1.11 1.11 1.30 1.3I 1.32 I.32 1.33 1.34 1.35 2.60 2.63 2.66 2.69 2.73 2.76 2.79 2.83 2.87 2.90 2.94.09 1.23 1.24 1.24 1.25 1.25 1.46 I.47 1.48 I.49 1.50 1.51 1.51 2.92 2.96 2.99 3.03 3.07 3.10O 3.14 3. 18 3.22 3.27 3.31.10 I.37 1.37 1.38 1.39 I.39 1.63 1.64 1.64 i.65 I.66 i.67 i.68 3.25 3.29 3.32 3.37 3.41 3.45 3.49 3.54 3.58 3.63 3.68 0.11 1.50 1.51 1.52 1.52 1.53 1.79 1.8o I.81 1.82 1.83 1.84 I.85 3.57 3.61 3.66 3.70 37.75 3.79 3.84 3.89 3.94 3.99 4.05.12 1.64 i.65 i.66 i.66 i.67 1.95 1.96 I.97 1.98 2.00 2.01 2.02 3.90 3.94 3.99 4.04 4.09 4.14 4.19 4.24 4.30 4.36 4.41.1I3 1.78 1.78 1.79 I.80 I,8 2.11 2.13 2.14 2.15 2.16 2.17 2.19 4.22 4.27 4.32 4.37 4.43 4.48 4.54 4.60 4.66 4.72 4.78.14 1.91 1.92.93 1.94 1.95 2.28 2.29 2.30 2.32 2.33 2.34 2.36 4.55 4.60 4.66 4.71 4.77 4.83 4.89 4.95 5.02 5.o8 5.15 15 2.05 2.06 2.07 2.08 2.09 2.-44 2.45 2.47 2.48 2.50 2.51 2.52 4.87 4.93 4.99 5.05 5.11 5.1I7 5.24 5.31 5.37 5.44 5.52 o.~6 2.1 2.20 2.1 2.22 223 2.60.62 2.632.65 2.66 2.68 2.69 5.20 5,.26 5.325.8.4 5.52 5.59 5.66 5.73 5.81 5.88.17 2.32 2.33 2.35 2.36 2.37 2.76 2.78, 2.80 2.81 2.83 2.84 2.86 5.52 5.59 5.6 5.72 5.79 5.86 5.94 6.oi 6.09 6.17 6.25.is 2.46 2.47 2.48 2.49 2.51 2.93 2.94 2.96.2.98 3.00 3.01 3.03 5.8,4 5.91 5.99 6.o6 6.13 6.21 6.29 6.37 6.45 6.53 6.62.19 2.60 2.61 2.62 2.63 2.64 3.09 3.11 3.13 3.14 3.i6 3.18 3.20 6.17 6.24 6.32 6.39 6.47 6.5 6.63 6.72 6.8i 6.90 6.99.20 2.73 2.75 2.76 2.77 2.78 3.25 3.27 3.29 3.31 3.33) 3.34 3.37 6.49 6.57 6.65 6.73 6.8i 6.90o 6.98 7.07 7.17 7.26 7.36 0.21 2.87 2.88 2.90 2.91 2.92 3.41 3.43 3.45 3.47 3.49 3.51 3.53 6.82 6.90 6.98 7.07 7.15 7. 24 7.33 7.43 7.52 7.62 7.72.22 3.00 3.02 3.04 3.05 3.06 3.58 3. 60 3.62 3.64 3.66 3.68 3.70 7.14 7.23 7.32 7.40 7.50 7.59 7.68 7.78 7.88 7.99 8.09.23 3.14 3.16 3.17 3.19 3.20 3.74 3.76 3.78 3.80 3.83 3.85 3.87 -7.47 7.56 7.65 7.74 7.84 7.93 8.03 8.14 8.24 8.35 8.46.24 3.28 3.30 3.31 3.33 3.34 3.90 3.92 3.-951 3.9-7- 3.99 4.02 4.04 7.79 7.89 7.98 8.o8 8.18 8.28 8.38 8.49 8.6o 8.7i 8.83.,25 3.41 3.43 3.45 3.46 3.48 4.06 4.09 4.11 4.14 4.16 4.18 4.21 8.12 8.22 8.31 8.41 8.52 8.62 8.-7 3 8.84 8.96 9.08 9.20 0.26 3.55 3.57 3.59 3.60 3.62 4.23 4.25 4.28 4.30 4.33 4.35 4.38 8 44 8.54 8.65 8.75 8.86 8.97 9.08 9.20 9.32 9.44 9.56.27 3.69 3.71 3.73 3.74 3.76 4.39 4.41 4.44 4.47 4.49 4.52 4.54 8.77 8.87 8.98 9.09 9.20 9.31 9.43 9.55 9.67 9.80 9.93 28 3.82 3.84 3.86 3.88 3.90 4.55 4.58 4.61 4.63 4.66 4.68 4.71 9.0.0931 9.42 95.697.0001.603.29 3.96 3.98 4.00 4.02 4.04 4.72 4.74 4.77 4.80 4.83 4.85 4.88 9.42 9.53 9.64 9.76 9. 88 T0. 0010.13 10.260o. 3910. 5310o.67.30 4.10 4.12 4.14 4.16 4.18 4.88 4.90 4.93) 4.96 4.99 5.02 5.05 9.74 9.86 9. 98 10. IOI0. 22 10.35 10.48[0o.61I07510o.89II.03 0.-31T 4.23) 4.26 4.28 4.30 4.32 5.04 5.07 5.10 5.13 5.i6 5.19 5.22 10-07 0. 1910. 31 TO0.43 I0.5 60o. 69TO. 8 31T0.9611. IT1I.2 5 1.40.32 4.37 4.39 4.42 4.43 4.45 5.20 5.23 5.26 5. 291 5.32 5.35 5.39 10.39 10. 5210o.64 10.-7 7 10.90 11I.04 11.1 I7 11.32 11.47 11. 62 11.77.33 4.51 4.53 4.55 4.57 4.59 5.37 5.40 5.43 5.46 5.49 5.52 5.5.5 10.72 10.84 10.97 11.I1011.24 II.38 11.52 11.67 11.82 11.98 12.14.34 4.64 4.67 4.69 4.71 4.73 5.53 5.5 5.59 5.62 5.66 5.69 5.72 11.04 11.1711.3I1[1.44II.-58 1I.731I.8712-03 12.i8 12-34T2. 5I.35 4.78 4.81 4.83 4.85 4.87 5.69 5.72 5.76 5.79 5.82 5.86 5.89 II.36 11.-50 11. 64 11.78 [I. 92 12.07 12.22 12.38 12.-54 12.70 12.87 0.36 4.92 4.94 4.97 4.,99 5.01 5.85 5.SO 5.92 5.95, 5.99 6.02 6.o6 11.69 I I.83 11.97 12.11 12. 27 12.42 12.57 12.73 12.9030732.37 5.05~ 5.08 5.11 5.13 5.15 6.02 6.05 6.09 6.12 6.i( 6.19 6.23 12.01 12. T612. 30 12.45 12.61 12.76 12.92 13.09 13.26 I3.43 I3.6i.38 5.19 5.22 5.24 5.27 5.29 6.i8 6.21 6.25~ 6.29 6.32 6.36 6.40 12.34 12.49 12.641f2.79 12.95 I3. IT 13.27 13.441I3.62 13.791I3.98.39 5.33. 5.35 5.38 5.41 5.43 6.34 6.38 6.41 6.45 6.49 6.52 6.56 12.66 12.82 12.97 13.12 13.291I3.45 13.62 13.791I3.9 7 14.1i614.34.40 5.4715.49 5.5 5.54 5.7 6.~o 6.4 6.~8 662 6.66.69 6.7312.99 13.14 13. -30 13.46 J3.63 13.80 13.97 14.1I5 14.3 145.71.42 5 7 4 75 77 5.52 5.82 5.8 5 7 6.83 6.87 6.91 6.95 6.916.06.7 36 63803.694l314361.41463181.35 15.25 1545 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. I VALUES OF THE AZIMUTH CORRECTION, Aa., S. P. The GOnstnt has the same sign Argument: Declination of Star. The tthas the same sign as the GeCt,. Declination of Star. 880 47' 48' 49' 50' 5I' 52' 53' 54' 55' 56' 57' 58' 59' 89 O' i 2 3' 4' 5' 6' 7' 8' 9 S. S. S. S. ~5. S. 5. S. S. S S. 5. S. S. S. s.. S. s. s. s. s, s. s. 0.oi 0.37 0.38 0.38 0.39 0.39 0.40 0.41 4I 0.42 0.42 0.43 0.44 0.44 0.45 0.46 0.47 0.48 0.48 0.49 0.50 0.51 0.52 0.53.02 0.74 0.76 0.77 0.78 0.79 o.8o o.8i 0.82 0.84 0.85 o.86 o.88 o.89 0.90 0.92 0.94 0.95 0.97 0.99 I.00 I.02 I.04 ~.o6.03 I.2 1.13. I 17.I5 I.I7 20 1.22 1.23 1.25 1.27 1.29 I.31 1.33 1.36 1.38 I40 1.43 1.45 1.48 1.5 1.I53 1.56 1.59.04 1.49 I.5I 1.53 1.55 1.58 -i.6o.62 1.65 1.67.70 I172 I175 1.78 i.8i 1.84 1.87 1.90.94 I.97 2.01 2.04 2.08 2.12 i0.86 1.89 1.92.9 1972.00 2.0 2.06 2.09 2.12 2.15 2.19 2.22 2. 26 2.0 23 2.3 2.22.46 2. 51 2.5'6 2.60 2. 65.05 1.67 z.7oI z.7{..94{ 1.97 2.03 2.043 2.083.182 0.o6 2.24 2.27 2.30 2.33 2.36 2.40 2.43 2.47 2.5I 2.55 2.59 2.63 2.67 2.7I 2.76 2.81 2.85 2.90 2.96 3.OI 3.07 3.12 3.19 ~~~~~~~~~~~~~~~~~~~~~~. 90 2 9 3 01 3 07 32I 6!I.07 2.61I 2.64 2.68 2.72 2.76 2.80 2.84 2.88 2.93 2.97 3.02 3.06 3.II 3.17 3.22 3.27 3.33 3.39 3.45 3.5I 3.58 3.65 3.72.o8 [2.98 3.02 3.06 3.II 3.15 3.20 3.24 3.29 3.34 3.39 3.45 3.50 3.56 3.62 3.68 3.74 3.81 3.87 3.94 4.01 4.09 4.I7 4.25.09 3.35 3.40 3.45 3.50 3.55 3.60 3.65 3.70 3.76 3.82 3.88 3.94 4.00 4.07 44 4.2I1 4.28 4.36 4.43 4.52 4.60 4.69 4.78.10 3.73 3.781 3.83 3.88 3.94 4.00 4.06 412 4.I81 4.24 4.3I1 4.38 4.45 4.52 4.60 4.68 476 4.84 4.93 5.02 5.11 5.2I 5.3I 0.11 4.o10 4.16 4.2I1 4.27 4.33 4.40 4.46 4.53 4.60 4.67 4.74 4.82 4.89 4.97 5.06 5] I4 5.23 5.32 5.42 5.52 5.62 5.73 5.84.12 4.47 4.53 4.60 4.66 4.73 4.80 4.87 4.94 5.OI 5.09 5.I7 5.25 5.34 5.43 5.52 5.61 5.71 5.8[ 5.9r 6.02 6.13 6.25 6.37 ~.13 4.85 4.91 4.98 5.05 5.12 5.20 5.27 5.35 5.43 5.52 5.60 5.69 5.78 5.88 5.98 6.08 6.i8 6.29 6.41 6.52 6.64 6.77 6.90.14 5.22 5.29 5.36 5.44 5.52 5.6o 5.68 5.76 5.85 5.94 6.0o 6.13 6.23 6.33 6.44 6.55 6.66 6.78 6.90 7.02 7.I5 7.29 7.43.15 5.59 5.67 5.74 5.83 5.91 6.oo 6.o8 6.17 6.27 6.36 6.46 6.57 6.67 6.78 6.90 7.01 7.14 7.26 7.39 7.53 7.67 7.81 7.96 o.i6 5.96 6.04 6.13 6.22 6.30 6.40 6.49 6.59 6.69 6.79 6.89 7.00 7.I2 7.24 7.36 7.48 7.61 7.74 7.88 8.03 8.i8 8.33 8.49.17 6.34 6.42 6.5i 6.6o 6.70 6.79 6.89 7.00 7.10 7.21 7.33 7.-44 7.56 7.69 7.8I 7.95 8.og 8.23 8.38 8.53 8.69 8.85 9.03.18 6.7i 6.8o 6.89 6.99 7.09 7.19 7.30 7.41 7.52 7.64 7.76 7.88 S.oi 8.14 8.27 8.42 8.56 8.7i 8.87 9.03 9.20 9.37 9.56.19 7.08 7.18 7.28 7.38 7.49 7.59 7.7I 7.82 7.94j 8.o6 8.19 8.32 8.45 8.59 8.73 8.88 9.04 9.20 9.36 9.53 971 9.90 IO.09.20 7.45 7.56 7.66 7.77 7.88 7.99 8.II 8.23 8.36 8.49 8.62 8.76 8.90 9.04 9.19 9.35 9.51 9.68 9.85IO0.0310I. 22 10.421 0.62 0.21 7.83 7.93 8.04 8.16 8.27 8.39 8.52 8.64 8.78 8.91 9.05 9.I9 9.34 9.50 9.65 9.82 9.991I0. 161I0.35.10.54 IO. j73 IO.941I I 15.22 8.20 8.31 8.43 8.55 8.67 8.79 8.92 9.06 9.19 9.33 9.48 9.63 9.79 9. 951IO. IIIO. 291I0.4710~. 65 1i.841I1.o4l1 I.2411I.4611. 68.23 8.57 8.69 8.8i 8.94 9.06 9.19 9.33 9.47 9.6i 9'.76 9.91 i0.07 10.23 I0.4010.57 IO.75 I0.9411I.I3 II-3II33II54 11.75 Ii.98 12.2I.24 8.94 9.07 9.19 9.32 9.46 9.59 9.73 9.88 10.03 IO.11810.3410r. 511O.68 10.85 II.03 II.22II.421ii.62221182.0412.2612.50I2.74.25 9. 32 9.45 9.58 97I1 9.85 9.990.14 I410.29 10.45 10.61 10.7710O.9411.12 I211301I.49 II. 69. 89 12. 10 I12.321I2.54 12.781I3.021I3.27 0.26 9.69 9.82 9. 9610. IO0IO. 24 10.391IO 54 10.70 10-87 1.103 1I.201.3811I.57 11.761. I95 12.16 12.372 I2. 5812..81I I3.04 13.29 I1354 13.80.27 10.0610.2010.313I0.49 10.64 10.79 10951II 1II.2811.461.63 I8321I2.0I I2.2112.41 12.6312.8413.0713.3013.5513.8014o6433.28 I0.4410.58rI.721.8811.031.19'I.361.52 [I.701.88 12.07 12.2612.46 I2.661I2.87 13.0913-32 5801 3 55 I3. I4.0514.31 I1458 14.87.29 I0.8SI101. 96 11. I II. 27 1.43 115911I. 761II.93 2.2 I2.3012.5012. 70 I2.90 13.1113.33 13.5613.8014.0414.3914-5514.8215.IOI5.40.30 II.181.II3311I.4911I.6611.821I1.99 12. 17 12.35 12. 54 12.73 12.93 13.313135 I3.57 13.79 14.0314.271I4.524,78I505oI5.3315.62I5.93 0.31 I.5511.711'1. 8712.041I2. 21 12.39 12.5312. 76 1L2.95 13.1 5 13.36 13.5 7 13.79 14.02 14.25 14.501I4.7515 001 5.2715I5515 I5.8416.I41 i6.46.32 II.9312.09 12.2612.-43 2.61i12.79 12.98 13.17 13.37 13.58 13.79 14.011I4.24 14.471I4.71 I4.96 15.221I5.49 1577i6.o6I6. 35I6.6716.99.33 I2.3012.471 12.6412.8213.0013.-1913.381I3.58 13.7914.0014.2214.45 14.68 I4.921I5.17 15-4315.70oI5.971i6.26 i6.5616.86 I7. I9 I7.52.34 12.6712.85 13. 02 13.2113. 40 13.59 13.79 13.99 14.21 14.43 I4.651I4.8915.13 I5.371i5.63 15.90o16. I71i6.46 I6.7517. o61 7737 177II8.o5.35 13.0413.2213.4113.6013.7913.991I4.20I4.41 14.6314.85i5.o081I5.321I5.57 I5.831i6.09 1i6.37 I6.65i6. 941I7.24 17.56 I7.89I8.2318.58 0.36 I3.42.I3.60oI3.79,I3.99I14.18 14-39 I4.60 14.82 I5.04 15.27 15.5I 15.76 i6.02 16.2816i. 55 i6.8317. I31I7.42 I7.7418.o61840875 19.11.37 I3.79 13.98 14.7174.37 r4.58 14.791 5.01 15,23 15.46 15.7C15.9411i6.20 6.46 16.731I7.01 7.301I7.601I7.9 118.23 i8.56 i8.9 19.2-7.64.38 I4.I6 ri 43614.5514.76 I4.97I5. I915.41 I5.64 15.88 16.1216.37 I6.6416.9i 17. I817.47 I7.771 8.8 18.39 I8.72 I9.07 9.42I9.7920.7.39 I4.54 14.7314.9415 I51I5.37 15.59I59.82i6.o05 i6.3016.55 i6.8I I1707 I7.35 I7.641 7.9-3 i8.241I8.55 i8.88 I9.22 19.571I9.93 20.3120.7.40 I4.91 15 II I5.32 I5.54 15.76 15.9916.221i6.46 i6.72 16.97 I7.24 17.51,I7.8o 18.0918.39 I8.70or9.03119.36169.712o.o720.244 20.83 2I.24 0.41 15.~281I5.~491I5.~701I5.~931i6.1 51I6.3916.6~ 316.88 17. 131i7.~401T7.6 717.~951r8.~24j 18.~54128.~85 1 9.1 71r9.501I9.84/20.20 20520923517.42 15.~651I5.~87 16. 09 16. 321I6. 55 16.791i7.~031 7.~29 1I7.~5 5 1 T7.~821I8.1018. 391 8.6 1 8.9919r. 31 I 9. 641i9.98120.33120. 6912I 0712I 4621.8223.43 16.o3/I6.25I641it/6. 716..9417.1917.4177 17.971T8.2418s.53 18..8 319.3 1944-1(9.77 120.IIi20.4 61208I/2I.I82I. 572I.9722.322.8.44 16.401r6.6 21I6.8 51I7.091I7.341 7.591I7.85 18.II 18 r.3918.,671I8.961I9.261I9.58 19.90l20. 23 20o57120.9321.~30121.67122.08 224822.9233 i45 16.71i. olr72~ 714jr 773[ 7~9jr8251S~5 9.0919 oi~.391 9.70/20.0 2 20.35j20.69 s21.04212. 4I/2I7822.I6122.5812.0 23.o2.438 0.46 17.141~7. 381r7.6217. 871r8.121I8.39185.66 I8. 93 1r9.~22~19.52I9.Q2120.14j20.47) 2080o21.15 ~21.5121.88j22.26122.66 23.08123.5 I123 9644.47 17.5217?. 7618.001o8.261I8.5218..7919g.0619.35 19,64l19.94120. 2520.58(20.91j 21. 25 21.G 61 21.98122.36122. 7523.1' j23.58/24.02224.48 24.95.48 17. 891815 318.3818.6518..9119.1919/r.471I9.76 ~20.06,20.37/20. 68r.0121.36 1 21.7r122.07 822.4422.83j23.23123.65124.0824.53125.0025.48.49 18.2618.5118I~.771I9.0419~.3119.g5919.8 7120. 17 20.48'20.79/21.1121I.45121.~80j 22.15(22.53 l22.91/23.31 23.72124 1424 58 25.04125.~52126.01.50* 18.641I8.8919. I5/I9.42 I9.701I9.98j 20. 28120.58 ~20.8921.22212.55j21.89 )22. 24 22.61 22.99 823.38123.78124.20 24.64125.09'25.55 126.0 4126.54 12 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb. The Correction has the same sign as the Argument: Declination of Star. Constant. In reflection observations the sign is reversed. 0 Declination of Star. 860 35' 36' 37' 38' 39' 87~ 9' Io' II' I2' I3' 14' I5' 88~ 36' 37' 38' 39' 40' 4I' 42'. 43' 44' 45' 46' 5. S.: S. S. S S. S. S. S... 5 S. S. S. S. S. S. S. S. S. S. S. S. o.or 0.11 0.11 0.II 0.11 0.12 0.13 O.13 0.14 0.-14 0 oo.14 0.4 01 0.26 0.27 0.27 0.27 0.28 0.28 0.28 0.29 0.29 0.30 0.30.02 0.23 0.23 0.23 0.23 0.23 0.27 0.27 027 0.27 0.27 0.28 0.28 0, 53 0.54 0.54 0.55 0.56 o.56- 057 0.58 0.58 0.59i 0.60.03 0.34 0.34 0.34 0.34 0.34 0.40 0.40 0.4I 0.41 0.41 0.4I 0.42 0.79 o.8o o.8i 0.82 0.83 0.84 0.851 0.86 0.88 0.89 0.90.04 0.45 0.45 0.46 0.46 0.46 0.14 0.54 0.54 0.54 0.55 0.55 0.55 I.06 1.07 I.o8 I.IO I-.I 1.12 I4 I. I5 1.17 i.i8 1.20.05 0.57 0.57 0.57 0.57 0.58 0.67 0.67 o.68 o,.68 o.68 0.69 o..69 132 I34 135 1.37 1.39 1.40 1.42 1.44 1.46 I148 I.50 o.o6 0o68 o.68 o.68 o69 o.669 o.8 o.8I 0.8I1 0.82 0.82 1 0.83 o.83i I.591.6i 1.63 1i.65 1.661 i.69 I71 1.73 175 177 I.80.07 0.79 0.79 0.8 o. o. 94.9 0.9 5 0.80 0..95.96 o.96 0.97 1.85.87.9 o 1.97 I.99 2.02 2.04 2.07 2.o10.8 0.90 0.91 0.9 0.92 0.92 1.07 i.o8.o8 1.og 1.10 1.0 i. 2.12 2.14 2.17 2.19 2.22 2.25 2.28 2.30 2.33 2.36 2.40.09 I.02 I.02 1.03 I.03 I.04 1.21 1.21 1.22 1.23 1.23 1.24 1.25 2.38 2.41 2.44 2.47 2.50 2.53 2.56 2.59 2.63 2.66 2.69 1.0 1.13 1I.3 1.14 1.14 1.15 1.34 1.35 I.35 1.36 1.37 1.38 1.38 2.65 2.68 2.71 2.74 2.78 2.81 2.84 2.88 2.92 2.96 2.99 o.II I.24 1.2j5 1.25 1.26 1.26.47 I.48 1.I49 1.50 1.51 I.5 I.52 2.9I 2.95 2.98 3.02 3.05 3.09 3.I3 3.I7 3.21 3.25 3.29.12 1.36 1.36 I.37 I.37/ 1.38 i.6i 1.62 1.621 1.63 1.64 1.65 i.66 3.18 3.2I 3.25 3.29 3.33 3.37 3.41/ 3.46 3.50 3. 55 3.59.13 1.47 I.48 1.48 I.49 I.50 1.741.75 1.761.77 1.78 T.79 I.8o 3.44 3.48 3.52 3.56 3.61 3.65 3.70 3.74 3.79 3.84 3.89.14 I.58 1.591 1.6o i.6o i.6o6 I.88 1.88 1.90 1.91 I.92 1.93 1.94 3.71 3.75 3.79 3.84 3.88 3.93 3.98 4.03 4.09 4.14 4.19.15 1I.70 1.70 I.71 1.72 1,72 2.OI 2.02 2.03 2.04 2.0o6 2.07 2.08 3.97 4.02 4.o6 1 4.16 421 4.27 4.32 438 4.43 4.49 o.16 i.81 1.82 1.82 1.83 1.84 2.14 2.I5 2.17 2.18 2.i9 2.20 2.22 4.24 4.28 4.34 4.39 4.44 4.49 4.55 4.61 4.67 4.73 4.79.17 1.92 I.93 I1.94 I.95 1.96 2.28 2.29 2.30 2.32 2.33 2.34. 2.35 4.50 4.55 4.6I 4.66 4.72 4.78 4.84 4.90 4.96 5.02 5.09.i8 2.03 2.04 2.05 2.06 2.07 2.41 2.42 2.44 2.45 2.47 2.48 2.49 4.76 4.82 4.88 4.94 5.00 5.o6 5.121 5.8 5.25 5.32 5.39.19 2.15 2.16 2.17 2.18 2.18 2.55 2.56 2.57 2.59 2.60 2.62 2.63 5.0o3 5.09 5I5 5.21 5.27 5.34 5.41 5.47 5.54 5.6i 5.69.20 2.26 2.27 2.28 2.29 2.30 2.68 2.69 2.71 2.72 2.74 2.75 2.77 5.29 5.36 5.42 5.48 5.55 5.62 5.69 5.76 5.84 5.9I 5.99 0.2I 2.37 2.38 2.39 2.40 2.42 2.81 2.83 2.84 2.86 2,88 2.89 2.91 5.56 5.62 5.69 5.76 5.83 5.90 5.97 6.os 6.13 6.21 6.29.22 2.49 2.50 2.51 2.52 2.53 2.95 2.96 2.98 3.00 3.01 3.03 3.05 j 5.82 5.89 5.96 6.o3 6.ii1 6.18 6.26 6.34 6.42 6.5o1 6.59.23 2.60 2.61 2.62 2.63 2.64 3.08 31IO 3.11 3.13 3.15 3.17 3.I9 6.og 6.i6 6.23 6.31 6.38 6.46 6.54 6.62 6.71 6.8 6.89.24 2.71 2.72 2.74 2.751 2.76 3.22 3.23 3.25/ 3.27 3.29] 3.30 3.32 6.35 6.43 6.5o 6.58 6.66 6.74 6.83 6.91I 7.00 7.09 7.19.25 2.82 2.84 2.85 2.86 2.87 3.35 3.36 3.39 3.40 3.42 3.44 3.46 6.62 6.69 6.77 6.86 6.94 7.02 7II 7.20 7.30 7.39 7.48 0.26 2.94 2.95 2.96 2.98 2.99 3.48 3.50 3.52 3.54 3.56 3.58 3.60 6.88 6.96 7.05 7.13 7.22 7.31 7.40 7.49 7.59 7.68 7.78.27 3.05 3.06 3.08 3.09 3.11 3.62 3.63 3.66 3.68 3.70 3.72 3.74 7.51 7.23 7.32 7.40 7.49 759 7.68 7.78 7.88 7. 98 8.08.28 3.16 3.18 3.19 3.21 3.22 3.75 3.77 3.79 3.81 3.84 3.86. 3.88 7.4I 7.50 7.59 7.68 7.77 7.87 7.97 8.o6 8.17 8.27 8.38.29 3.28 3.29 3.3I1 3.32 3.34 3.89 3.90 3.93 3.95 3.97 3.99 4.02 7.68 7.77 7.86 7.95 8.05o 8.i 8.25} 8.35 8.46 8.57 8.68.30 3.39 3.40 3.42 3.44 3.45 4.02 4.03 4.06 4.09 4.11 4.13 4.16 7.94 8.03 8S.13 8.23 8.32 8.43 8.54 8.64 8.75 8.86 8.98 0.31 3.50 3.52 3.53 3.55 3.57 4.I5 4.17 4.20 4.22 4.25 4.27 4.29 8.2f[ 8.30 8.40 8.50 8.60o 8.7 8.82 8.93 9.05 9.16 9.28.32 3.62 3.63 3.65 3.66 3.68 4.29 4.3I 4.33 4.36 4.38 4.41 4.43 8.47 8.57 8.67 8.77 8.88 8.99 9.10 9.22 9.34 9.46 9.58 ~.33 3.73 3.75 3.76 3.78 3.80 4.42 4.44 4.47 4.49 4.52 4.54 4.57 8.74 8.84 8.94 9.05 9.16 9.27 9.39 9.50 9.63 9.75 9.88.34 3.84 3.86 3.88 3.8 9 3.91 4.56 4.58 4.60 4.63 4.66 4.68 4.7I 9.00 9.11 9.21 9.32 9.44 9.55 9.67 9.79 9.92 10.05 10.18.35 3.96 3.97 3.99 4.01 4.03 469 1 474 47 4.80 4.82 85 9.26 9.37 9.48 9.60 9.7I 9.83 9.960o.o8 0.21 O341048 0.36 4.07 4.o09 4.104.12 4.14 4.82 4.85 1 4.87 4.90 4.93 4.96 4.99 9.53 9.64 9.75 9.87 9.991O. 10o.24/1o.371Io0.50Io 641078 ~.37 4.18 4.20 4.22 4.24 4.26 4.96 4.98 5.o1 5.04 5.07 5.09 5.12 9.79 9.9110.03.15 10.27 1040.53 Io.661o.8oIo 93.8.38 ~4.29 4.31 4.33 4.35 4.37 5.09 5.11 5.15 5.18 5.21 5.23 5.26 I o.o6Io..81o. 30 IO.42 1o.54 io.681 io.8o.941rI.o9rII.231;. 38.39 4.41 4.43 4.45 4.46 4.49 5.23 5.25 5.28 5.31 5.34 5.37 5.40 IO.3210.44IO.5710.691IO.8210.961I.09II1.2311381 II. 521II.68.40 4.52 4.54 4.56 4.58 4.60 5.36 5.38 5.42 5.45 5.48 5.51 5.54 I0.591IO.7110.8410.971II 0II.24.II.38 52i.67.82.98 0.41 4.631 4.65/ 4.67j 4.69) 4.71 5.495.52 5.55/ 5.58 5.62 5.6s 5.68 ]0. 981 1.II. 2 3/56.24II.8121..9612..122.42 4.75 4.77 4.791 4.8I/ 4.83 5.653 5.69[ 5.721 575 5.78 5.82 II.21.25'II. 381..52[11.66 18 2 12262.412.43 4.86/ 4.88 4.90} 4.92/ 4-94 5.76 5.79 5.82 5.86 5.89 5.92I 5.96 II.381.5211651179119312.0812.2312.3812.5512. 711287 ~44 4.97j 4.99 5.021 5.04] 5.06 5.90 5.92 5.96l 5.991 6.03 6.o6 6.09 1.651.7811.92112.06o62.22.3612.52 12.6712.8413.0013.17.45 5.08 5.II/ 5.13 5.15 5.17 6.03 6.o6 6.09 6.13] 6.6 6.20 6.23 II.9112.0512.1912.34152.4912.64I2.80 12. 96113 3 3 7 0.46 5.20 5.22 5.24 5.27 5.29 6. 16 6.19 3 6.23 627/ 6.30 6.33 6.37 12.812.3212.471I2. 6112.761~2.9313 0913.2513.42 13 5913.77.47 5.3I 5.33 5.36, 5.38, 5.40 6.30 6.33 6.36 6.40, 6.44 6.47 6.5i I2.4412.5912.7412.89113.04/3.21 I3.3713.5413. 7113. 8914.o.48 5.42 5.45 5.47 5.50 5.52 6.43 6.46 5 65o 6.54 6.58 6.6k 6.65 2.712.85130 13613.3213o 4913.66113.3812r.8 4o4. 18 14.37.49 5.54~ 5.56 5.591 5.611 5.63 6.57 6.6o 6.63 6.67 6.71 6.75 6.79 12.9713.1213.28]13.4413.6013. 77o 39414.1114.30 14 4814.67.50 5.65/ 5.67 5.761 5.731 5.75 6.70 6.73 6.77 6.8i 6.85 6.89 6.92 32313.3913.5.5/13.7113.8814.051 4.224.4014.5914.7814.97 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. I VALUES OF THE LEVEL CORRECTION, Bb. The Correction has the same sign as the Argument: Declination of Star. Constant. In reflection observations the sign is reversed. 0 - Q Declination of Star. 88' 47' 48' 49' 50' 51' 52' 53' 54' 55' 56' 57' 88' 59' 89' 0 I 2' 3' 4 5 6' 7 8 9 S. S. 5.... S. S. S. S..... s. 5. 5. s. s. s. s. s. 0.01 0.30 o.31 0.31 0.32 0.32 0.33 0.33 0.331 0.34 0.35 0.35 0.36 0.36 0.37 0.37 0.38 0.39 0.39 0.40 0.41 0.42 0.42 0.43.02 o.61i 0.62 0.62 0.63 0.64 0.651 0o.66 0.67 o.68 o.69 0.70 0.71 0.72 0.74 0.75 0.76 0.77 0.79 o.8o o.8I 0.83 o.85 o.86.03 0.91I 0.92 0.94 0.95 0o96 0.98 0.99. 1.02 1.04 I.05 1.07 i.o8 I.0 1.12 4 i.i6 i.i8.20 1.22.2 I.27 1.29.04 1.21 1.23 1.25 1.26 1.28 1.30 1.32 1.34 1.36 1.38 1.40 T.42 I'45 1.47 1.49 1.52 I.55 I.57 i.6o 1.63 1.66 1.69 1.72.05 1.52 1.54 i.56 1.58 i.6o 1.63 1.65 1.67 1. 70 1.72.75 1.78 1.8i 1.84 1.87 1[.90.93 I.97 2.00O 2.04 2.08 2.11 2.16 o.o6 1.82 1.84 I.87 1.90 I.92 1.95 1.98 2.o01 2.04 2.071 2.IO 2.14 2.17 2.21 2.24 2.28 2.32 2.36 2.40 2.44 2.49 2.54 -2.59.07 2.12 2.15 2.18 2.2 2.24 2.28 2.3 2.34 2.38 2.42 2.45 2.49 2.53 2.57 2.62 2.66 2.70 2.75 2.80 2.85 2.90 2.96 3.02.8 2.43 2.46 2.49 2.53 2.56 2.60 2.-64 2.68 2.72 2.76 2.80 2.85 2.89 2.94 2.99 3.04 3.09 3.15 3.20 3.26 3.32 3.38 3.45.09 2.73 2.77 2.81 2.84 2.89 2.93 2.97 3.oI 306 3.I 35 320 325 3.31 336 3.42 3.48 3.54 3.60 3.67 3.74 3.81 3.88 1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.03.031 3.081 3.12j 3.161 3.21l 3.25l 3.301 3.35 3.40 3.451 3.50/ 3.56 3.62 3.671 3.74 3.80/ 3.86j 3.93 4.001 4.071 4.15 4.231 4.31 0.T 311 3.34 3.38 3.43 3.48 3.53 3.58 3.63 3.68 3.74 3.80 385 3.91 3.98 4.04 4II1 4.18 4.25 4.33 4.40 4.48 4.56 4.65 4.74.12 3.64 3.69 3.74 3.79 3.85 3.90 3.96 4.02 4.08 4.14 4.20 4.27 4.34 4.41 4.48 4.56 4.64 4.72 4.80 4.89'498 5.07 5.17.13 3.94 4.00 4.05 4.11 4.17 4.23 4.29 4.35 4.42 4.48 4.56 4.63 4.70 4.78 4.86 4.94 5.02 5.11 5.20 5.30 5.40 5.50.6o.14 4.25 4.31 4.37 4.43 4.49 4.55 4.62 4.69 4.76 4.83 4.91 4.98 5.o6 5.15 5.23 5.32 5.41 5.50 5.60 5.70 5.8 5.92 6.93.15 4.55 4.61 4.68 4.74 4.81 4.88 4.95 5.02 5.10 5.i8 5.26 5.3 542 55 560 5.7.8o 5.90 6.oo 6.iI 6.22 6.34 6.46 o.i6 4.85 4.92 4.99 5.o6 5.I3 5.20 5.28 5.36 5.44 5.52 5.6i 5.69 5.79 5.88 5.98 6.o8 6.i8 629 64 6.52 6.64 6.76 6.90.I7 5.i6 5.23 5.30 5.37 5.45 5.53 5.6i 5.69 5.78 5.86 5.96 6.o4 6.i5 6.25 6.25 6.46 6.57 6.68 6.8o 6.93 7.06 7819 7.33.i8 5.46 554 5.61 5.69 5.77 5.85 5.94 6.03 6.12 6.21 6.31 6.41 6.i 6.62 6.72 6.84 6.96 7.08 7.20 7.33 7.47 7.61 7.76.19 5.76 5.84 5.92 6.oi 6.og 6.i8 6.27 6.36 6.46 6.56 6.66 6.76 6.87 6.98 7.10 7.22 7.34 7.47 7.60 7.74 7.88 8.03 8.19..20 6.07 6.I5 6.2,1 6.32 6.41 6.5o 6.6o 6.70 6.8o 6.90 7.01 7.12 7.23 7.35 7.47 7.60 7.73 7.86 8.oo 8.15 8.30 8.46 8.62 0.2I 6.37 6.46 6.55 6.64 6.73 6.83 6.93 7.03 7.14 7.24 7.36 7.47 7.59 7.72 7.85 7.98 8.II 8.26 8.40 8.56 8.72 8.88 9.05.22 6.68 6.76 6.86 6.95 7.05 7.15 7.26 7.37 7.48 7.59 7.71 7.83 7.96 8.o8 8.22 8.36 8.5o 8.65 8.8o 8.96 9.131 9.30 9.48.23 6.98 7.07 7.17 7.27 7.37 7.48 7.59 7.70 7.82 7.94 8.o6( 8.19 8.32 8.45 8.59 8.74 8.89 9.04 9.20 9.37 9.54 9.72 9.91.24 7.28 7.38 7.48 7.59 7.69 7.80 7.92 8.04 8.i6 8.28 8.41 8.54 8.68 8.82 8.97 9.12 9.27 9.44 9.60 9.78 9.96 10.15 10.34.25 7.59 7.69 7.80 7.90 8.02 8.13/ 8.25 8.37 8.5o 8.62 8.76 8.90 9.04 9.19 9.34 9.50 9.66 9.83 I0.oo Io. 19 Io.38.I 057 10.78 0.26 7.89 S.oo 8.ii 8.22 8.34 8.46 S.58 8.70 8.831 8.971 9.11 9.251 9.40, 9.56 9.71 9.88 1005 10.22 I0.4II0.59 I1079 I1099 11.21.27 8.19 8.30 8.42 8.53 8.66 8.78 8.91 9.04 9.171 9.32 9.46 9.61 9.76 9.92 1IO.09 IO.26 10.4310o.6210i.81 I1. 00II.20I1I.42 I I.661'.28 8.-o 8.6i 8.73 8.85 8.98 9.11 9.24 9.37 951i 9.66/ 9.81 9.9710.12 10. 29 10.46 10.6410O. 82 11.01 11.21 1.411 r.6211.84 12.07.29 8.8o 8.92 9.04 9.17 9.30 9.43 9.57 9.71 9.85 10.0010O. I1610.32 10.49 0. 66IO 10.83 11.02 II.21 11.4c Ii.61 i1.82, 12.04 12. 26 12.50.35~~~~~~~~~~~~~~~~~~~~~~8 924 962 122)32 1.30 9.I0 9.23 9.35 9.48 9.6 9.76 9.9010.04 IO. T9 103510. 51io.680o.85 1.0211.21 11.401 5911.8012.01 2.2212.45 112.68 12.93 0.31 9.41 9.53 9.67 9.80 9.94:10-0810. 231038 10.53, IO. I70 0.86 11.0311I.21 11.39 11.58 11.78 II.98 12.9I2-41 12.63 I2.863.II 13.36.32 9.71 9.84 9.810.2 T10.2611041o. 4 5610.71 10.87 110411.2111.39( 11.57 11.76 11.96 12.1I6 12.3612.58 I2.8I 13.04 13.28 I3.53 1I3.79 33 10.01 10.15 10. 29 10.43 10.- 5810. 73 10. 89 11I.05 11.21 11.38 i1.56 11.74 11.93 12.13 12.33 12.54 12.75 12.98 13.21 13.45 13.70 I3.95 14.22.34 I0.3210.46 0. 6010.751.90.061.2211.38 1.55 1.73 11.91 I 2. 10 12.29 12.50 I2.70 12.9213.1413.3713.6113.85 14.11 1437 14.65.35 Io. 62 1o.76 1o. 9T I I.o611.22 1138II.551.72 II.891I2.081 2. 26 12.46 12.66 12.8613.08 13.3013.52 13.761401.2614.56 2 I14.80 15o8 0,36 10.92 1107.0711I.221I.38 11541.71 11.882 II.05 12.2312.4212.61 12.81 13.02 13.23 13.45 13.68 13.91 14.1 I614.41 I4.67 14.94 15.22 15.52.37 11.23 3 II38 11.54 11.70 II.86 I2.03 12. 21 12.39 12.571I2.76 12. 96 13.17 13.38 13.6013.82 14.06,14.30 14.55 14.81 15o8 15.36J5 64 19.38 II 1531ii.69 11.85 12.01 12.18 12.36 12.54 12.72 12.91 13.11 13.32 13.52 13.74 13.97 14.20 14.44 14.68 14.94 15.21 15.48 15.77116.07 I6.3s.39 1I.83 I I. 99I 12.6I2. 33125012.6812.871I3.06 13.2513.46 13.67 13.88 14.I0 414331 4.57 14.82 1507 15.33 I5.61I 5.89 I6.Iq I6.49 i6.8i.40 42.I4 12.3012.4712.642.8213.0113.2013-39 13.5913.8014.021T4.24 4.946 14.701494 15.201154615.731 6. i6.3016.6 i6.g9 I7.24 0.41 12.441~2.61 12.781I2.961i3. 14j3.331I3.5313.713 13.93 14.1414.3 714.591r4.83 1,5.07115.32 1i5.58115.8416.121 6..411I6.711 17.0217. 33 17.67.42 12.74(12.921T3.101T3.2813.47 I13.661r3.861r4.06 14.2714.4919)4.7 214.95 15.19 15.441I5.69 1r59616.~2316.51 16.81 17.11 17.I7431/7.76 1 8.ic.43 13.0513.2213.4 113.593 6I3 O98184[ 6914.40 14.61 14.8415.0715301555 5.8o164o6 1 76.3416.621618 44 1 3.35.I6 5313.72139 14.10 1.4.31 1.53 214.73 14.O95r 15-98 42 115I66152.91 16.17166.44 16.7217.0017.3017 6117.93O8. 261'8.60 1. 845 13.65.84 14.03 142 14.43 1-4.63 14.85 15.07 1529 5 157716.02 16.27 16.54 16.81 17. 17.3917.69 i8.oi 18.34 6'8.6819.031 19.4 0.46 13.9614~.17544.341i4.54114.L751T4.96115. 8/15.40 g15.6315.8716.1216.b37 16.63 1 6.9017.19 17.48117.7718.~0918.4 118.741C9.08 19.4 98.47 14.2614.~45i14.651r4.861'5~071I 5.281I5.5 11 I5.742 65.4971622 186.916].317.00O 17.2717.56 347.86I8.7 2I0.2.48 5!17r~7I~7I.c) I~Ir~4r. 0 6.31 16.56 16.821 7.081I7.36 I7.643I7.93 I8.24I85.551I8.8 7I92I9.56 I9.92209 20.6 4561.7 6471.7539561 15.84/ 16.07 ~ IS oii.o~ 18 6218 ~t:~ ~21o1 49 4.8715.07 5.2815.49j15.71 5.9316.o71J6.41 1665156.9017.1717.441772 9.2. *l.6 )d. J. IJ.'2I.3-..50 15.1715g.38 5.5915 806.0316.2656. 5016.74 16.99 ~ 7.2517.52 779. 8.o. 73718.68 oo'9932 9.662 0.020.3720.75621.1 21.55 o._ 2 _:1II *1- ~ TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, Bb., S. P. The Constant and the Correction have opposite Argument: Declination of Star, signs. In reflection observations the Correction, has the same sign as the Constant. Declination of Star. 8& 35' 36' 37' 38' 39' 87" 9' 1o' II' 12' 13' 14' 15' 88~ 36' 37' 38' 39' 40' 41' 42' 43' 44' 45' 46' S. S 5. S5 5. S. S. S. S. S. S. S. S. 5. S 5. S. S. 5. S. S 5. 5. S. o0 0.o0 o.10 o.I0 0.1o O.O.10 0.12 0.12 0.12 0.12 0.12 0.12 0.12 0.25 0.25 0.26 0.26 0.26 0.27 0.27 0.27 0.28 0.28 0.28.02 o.I9 0.20 0.20 0.20 0.20 0.24 0.24 0.24 0.24 0.24 0.24 0.25 0.50 o.50 0.51 0.52 0.52 0~53 0.54 0.54 0.55 0.56i 0.57.03 0.29 o.29 0.30 0.30 0.30 0.35 0.36 0.36 0.36 0.36 0.37 0.37 0.75 0.76 0.77 0.78 0.79.04 0.39 0.39 0.39 0.40 0.40 0.47 0.48 0.48 0.48 0.49 0.49 0.49 1.O0 1.01 0.19 1.03. i.o6 i.o8.09 1.o1 1.o1 1.14 Io o i.o6 i.o8:.o9:.:o i.i2 l.x4.05 0.49 0.49 0.49 o.50 0.50 0.59 0.60. 0.60 0.60 o.6i o.6i o.6I 1.25 1.26 1.28 1.29 1.31 1.33 1.34 1.36 1.38 1.40 1.42 o.o6 0.58 0.59 0.59 0.59 0.60 o.7I o.71 0.72 0.72 0.73 0.731 0.74 1.50 1.51 1.53 1.55 1.57 1.59 i.6I 1.64 i.66 6170 o~~s6 I~7LC I~77 I~79 r.6z 1.66 x.68 1.7o I9.07 0.6S 0.69 0.69 0.69 0.70 0.83 0.83 o.84 0.84 0..8 0 6. 74 1.77 1.79 i.8 1.83 1.86 1.88 1.9I1.93 1.96 1.99.o8 0.78 0.78 0.79o 0.79o 0. 95 0.96 0.96 0.97 0.9 98 I 99 2.02 2.04 2.07 2.10 2.12 2.15 2.18 2.21 2.24 2.27.09. o.88 08.89: 0.89 0.io6.o 1 I.II 2.24 2.27 2.30 2.33 2.36 2.39 2.42 2.45 2.49 2.52 2.56 1.97 0.98 0.98 0.99 10 18 1.19 1.20 1.21 1.21 1.22 1.23 2.49 2.52 2.55 2.59 2.62 2.65 2.69 2.72 2.76 2.80 2.84 or 10ioio8.919 10131.2 3314 3 13 2.74 2.77 2.8 2.8 2.88 2. 2. 3. 3. 3. 3.12.12 1.17 1.17 1.18 1.19 1.19 1.42 I.43] 1.44 1.45 1.46 1.47 1.47 2.99 3o.3 3.06 3.io 3.14 3.18 3.23 3.27 3.31 3.36 3.4I.13 i.27 1.27 1.28 1.29 1.29 i154 I.55 1.56 I.57j 581.59 I.6o 324 3 3.28 3.32 3.36 4 3.45 3.50 3.54 3.59 3.64 3.69.14 1.36 1.37 1.38 1.39 1.39 I.66 1.67 i.681.69 1.70 1.71 1.72 3.49 3.53 3.58 3.62 3.67 3.72 3.76 3.82 3.87 3.92 3.97.15 I1.46 1.47 1.48 1.49 1.49 1.77 1.79 i.8 ii 1.82 1.83 1.84 3.74 3.78 3.83 3.88 3.93 3.98 4.03 4.09 4.I4 4.20 4.26 o.i6 i.56' 1.57 1.57 I.58 1.59 1.89 1.90 1.92 1.93 1.94 1.96 1.97 3.99 4.04 4.09 4.I4 4.19 4.25 4.30 4.36 4.42 4.48 4.54.I7 i.66 1.66 1.67 1.68 1.69 2.01 2.02 2.04 2.05 2.06 2.08 2.09 4.24 4.29 4.34 4.40 4.45 4.51 4.57 4.63 4.70.i8 1.75 1.76 1.77 1.78 1.79 2.13 2.14 2.16 2.17 2.19 2.20 2.21 4.49 4.54 4.60 4.65 4.72 4.78 4~84 4.90 4.97 5.04 5.11.19 1 i..85 S 161 1.81 i.88 1,89 2.25 2.26 2.28 2.29 2.31 2.32 2.33 4.74 4.79 4.85 4.91 4.98 5.04 5s.II 5.I8 5.25 5.32 5.39.20! 1.95 1.'961 1.971.98 1.99 2.37 2.381 2.40 2.41 2.43 2.44 2.46 4.98' 5.04 5.1I 5.I7 5.24 5.31 5.38 5.45 5.52 5.6o 5.68 0.21 2.05 2.06 2.07 2.08 2.09 2.48 2.50 2.52 2.53 2.55 2.57 2.58 5.23 5.30 5.36 5.43 5.50 5.57. 5 72. 8o1 5.88 5.96.22 2.141 2.15 2.16 2.18 2.19 2.60 2.62 2.64 2.6; 2.67 2.69 2 70 5.48 5.55 5.62 5.69 5.76 5.84 5.92 6.001 6.08 6 16 6.25.23 2.24 2.25 2.26 2.28 2.29 2.72 2.74 2.76 2.77 2.79 2.81 2.83 5.73 5.80 5.87 5.95 6.03 6.Io 6.i8 6.27 6.35 6.44 6.53.24' 2.34 2.35 2.36 2.38 2.39 2.894 2.86, 2.88 2.89 2.91 2.93 2.95 5.98 6.05 6.13 6.2I 6.29 6.37 6.45 6.54 6.63 6.72 6.8I.25 2.44 2.45 2.46 2.48 2.49 2.96 2.98 3.00 3.02 3.04 3.06 3.07 6.23 6.30 6.38 6.46 6 55.64 6.72 6.8i 6.90 7. 7. 0.26 2.53 2.55 2.56 2.57 2.59 3.08 3.o9 3.11 3.14 3.I6 3.18 3.20 6.48 6.56 6.64 6.72 6.8I 6.901 6.99 7.09' 7.18 7.28 7.38.27 2.63 2.64 2.66 2.67 2.69 3.I9 3.21 3.23 3.26 3.28 3.30 3.32. 6.73 6.81 6.0 6.698 7.07 7.17 7.26 7.36 7.46 7.56 7.67.28 2.73 2.74 2.76 2.77 2.79 3.31 3.33 3.35 3.38' 3.4 3.42 3.44 6.98 7.06 7.15 7.24 7.34 7.43 7.53 7.63 7.73 7.84 7.95.29 2.82 2.84 2.85 2.87 2.89 3.13 3.45 3.47 3.50 3.52 3.54 3.56 7.23 7.31 7.4I 7.50 7.60 7.7 7.80o 7.90 8.oi 8.12 8.23.30 2.92 2.94 2.95 2.97 2.99 3.55 3.57 3.59 3.62 3.64 3.67 3.69 7.48 7.57 7.66 7.76 7.86 7.96 8.07 8.i8 8.29 8.40 8.52 0.31 3.02 3.03 3.05 3.07 3.08 3.67 3.69j 3.71 3.74 3.76 3.79 3.8I 7.73 7.82 7.92 8.02 8.12 8.23 8.34 8.45 8.56 8.68 8.8o.32 3.I2 3.I3 3.15 3.17 3.18 3.79 3.81 3.83 3.86 3.883 3.91 3.93 7.97 8.07 8.17 8.28 8.38 8.49 8.6o 8.72 8.84 8.96 9.08.33 3.21 3.23 3.25 3.27 3.28 3.9 3~.3 3.95 3.98 4.01 4.03 4.06 8.22 8.32' 8.43 8.53 8.65 8.76 8.87 8.99 9.I1 9.24 9.37 ~34 3.31 3.33 3.35 3.371 3.38 4.02 4.05 4.07 4.o1 4.13 4.15 4.I8 8.47 8.57 8.68 8.79 8.91 9.02 9.14 9.26 9.39 9.52 9.65.35 3.4~1 3.3.44 3.47 3.48 4.14 4.17 4.19 4.22 4.25 4.28i 4.30 8.72 8.83 8.94 9.05 9.17 9.29 9.41 9.54 9.67 9.860 9.94 0.36 3.51 3.52 3.54 3.56/ 3.58 4.26 4.28 4.31 4.34 4.37 4.40 4.42 8.97 9.08 9.19 9.31 9.43 9.55 9.68 9.8 9. 9.91Io0o081o.22.37 3.60l 3.62 3.64 3.66 3.68 4.38 4.40 4.43 4.46 4.49 4.52 4.55 9.22 9.33 9.45 9.57 9.69 9.82 9.95 io.o8'Io.22 10.36 10. 50.38 3.70 372 3.714 3.76 78 4.50 4.521 4.55 4.58 4.61 4.64 4.67 9.47 9.58 9.71 9.83 9.9610.09 10.22!O. 36IO'50.5O'.64 0'.79.39 3.80/ 3.821 3.84j 3.861 3.88 4.62 4.64 467 4.70 4.73 4.76 4.79 9.72 9.83 9.9610O.O 9 10.221I0.35 1O.49 TO.63 IO.77 1O092 11.07.40 3.90 3.92 3.94 3.96 3.98 4.74 4.76i 4.79 4.82 4.86 4.89 4.92 9.97O0.O91O.221:0.3410.4810.621o.761o.'90o 1.'O512011'36 0.41 34.o9 4.01 4.036 4.06 4.08 4.85 4.88 4.91 4.94 4.98 5.o0 5.04 10.22 10.3410.47 [0.60110.74 io.88 11.02 11.17 1.32111.48 11.64.42 4.09i 4.11 4.13 4.I6 4.18 4.97 5.00 5.031 5.07 5.10..~I3 5.I6 10.4710.5910.7310 86~i.oou. 11.29 L..44I.;',0 76 119.qj 4.19 4.21 4.23 4.26 4.28 5.09 5.12 5.15 5.19 5.22 5.25 5.28 I0.7210.8410.9811.1211.2711.4111.5611.72II.8812.0412.21.44 4.29 4.31 4.33 4.36 4.38 5.21 5.24 5.27 5.31 5.34 5.38 5.41 Io.96I.IO.24 1.38I.531II.6SI.83 II.99 i2.15 I2.32I12.49.4~5 4.3S/ 4.4rj3~1 4.34.46 4.48 5.321 5.361 5.39 5.431 5.46 5.50S 5.53 1 I.211 31141161.791..1~-(2.101 2~261243 12.6Go12.78 o.46.4S48 4.50 4.~53 4.55/ 4.58 5.414 5.47 5.51i 5~.551 5.581 5.621 5. II.46jII.60IrI.75IrI.90I2.05/I2.2II2.3712.541T2.71 I2.S836/3 O 17 4.529 4.62 4.65 4.68 5.56 5.59 5.63 5.67 5.37 5.74 5.78 11.71I'~.8 12.0012.15 12.31 12.47112.64112.81 12.9813.16~13.34 S.3 4.603 11S 4.68 4.70 4.72 4~.7 4.78 53682 5.71 5.75 5.79 5.683 5.7 5.90.5I.9612.31.4I'I2.57j2. 73j2.91 3.0813.2613.4413.63 0.49 4 7, 4.8o 4.82 4.85 4.48 5.84 5.83 5.8i 5.51 5.95 5.99 6.02 12.21 12.361I2.1 12.7 12.8413.0053.1S [3.35 13.5313.72.~391.50 4.87' 4.90 492 4.95 4.97 5.92 5.95 5.99 6.o3 6.07 6.II 6.: 12.46 12.61 12.77-12.93 1 27i3.44 13.621:3.86340011 1. 9'* 4.. 7 0 4.247[478 56 ~ TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. I5 VALUES OF THE LEVEL CORRECTION, Bb., S. P. The Constant and the Correction have opposite Argument: Declination of Star. signs. In reflection observations the Correction has the same sign as the Constant. 0 Declination of Star. 88~ 47' 48' 49' 50' 51' 52' 53' 54' 55' 56' 57' 58' 59' 89f o' I' 2' 3' 4' 5' 6' 7' 8' 9 s. S. s. 5. S. s. S. s. S. S. S. s S. 5. s. S. S. 5. S. S. S. S. S. S. 0. 0I 0. 2,L) 0. 29 O.-2 0 9~~~~~~~~~s.[ S o0.oI 0.29 o.29 0.30 0.30 0o3 0.31 0.31 o.3I 0.32 o32 0.33 0.33 0.34 0.35 0.35 0.36 0.36 0.37 0.381 0.38/ 039 0.40 o.41 0.42.02 0.58 0.58 0.59 o.6o o.6i 0.62 0.63 0.64 o.65 0.66 0.67 o.68 0.69 0.70 0.72 0.73 0.74 0.76 0.77/ o78 0.80 0.8o. 0.83 ~.03 o.86 o.88 o.89 0.90 0.92 0.93 0.94 0.96 0.97 0.99.00 1.02 1.04.06 1.07 1.09 1.1I I.13 1.15 I.171 1.20 1.22 1.25 ~.04 1.15 1.17 1.18 1.20 1.22 1.24 1.26 1.28 1.30 1.32 1.34 1.36( 1.38 1.41 1.43 1.461 1.48 1.5 1.541 1.57 I.601 1.63 1.66.05 1.44 1.46 1.48 1.50 1.52 1.55 I.57 i.6o 1.62 i.65 i.67 1.70 1.73 I.76 1.79 1.82 I.85 1.89 1.92 1.96 2.00 2.04 2.08 0.06 I.701~75.79[ ~.s01 1.ssi ~.69~9i~ 1.o/. o.o6 1.73 1.75 1. 78 1.80 1. 83 i.86 1.89 1.92 1.95 1.98 2.1O 2.04 2.08 2.II 2.15 2.19i 2.23 2.27 2.3I 2.35 2.40 2.44 2.49.07 /2.02 2.04 2.o07 2.Io 2.I4 2.17 2.20 2.23 2.27 2.31 2.34 2.38 2.42 2.46 2.51 2.55 2.60 2.64 2.69 2.741 2.80 2.85 2.91.08 2.30 2.34 2.37 2.40 2.44 2.48 2.51 2.55 2.59 2.64 2.68 2.72 2.77 2.82 2.86 2.91 2.97 3.02 3.08 3.I41 3.20 3.26 3.32.09 2.59 2.63 2.67 2.70 2.74 2.79 2.83 2.87 2.92 2.97 31 3.061 3.6 3I 3.17 3.22 3.28 3.34 3.40 3.46 3.53 3.60 3.67 3.74.10 2.88 2.92 2.96 3.00o 3.05 3.0o 3.14 3.19 3.24 3.29 3.35 3.40 3.46 3.521 3.58 3.64 3.7I 3.78 3.85 3.92, 3.99 4.07 4.15 O.II 3.17 3.21 3.26 3.31 3.36 3.4I1 3.46 3.5I 3.57 3.62 3.68 3.74 3.81 3.87 3.94 4.o01 4.08 4.I5 4.23 4.31 4.39 4.48 4.57.12 3.45 3.50 3.55 3.61 3.66 3.72 3.77 3.83 3.89 3.95 4.02 4.08 4.15 4.221 4.30 4.37 4.45 4.53 4.62 4.70 4.79 4.89 4.98.13 3.74 3.80 3.85 3.91 3.96 4.021 4.09 4.15 4.22 4.28 4.35 4.42 4.50 4.57 4.65 4.74 4.82 4.91 5.00 5.09 5.19 5.29 5.40.14 4.03 4.0o9 4.15 4.21 4.27 4.33 4.40 4.47 4.54 4.61I 4.69 4.76 4.84 4.93 5.01 5.10 5.1 5.291 5.38 5.49 5.59 5.70 5.82.15 4.32 4.38 4.44 4.5I 4.58 4.64 471 4.79 4.86 4.94 5.02 5.IO 5.19 5.28 5.37 5.46 5.56 5.66 5.77 5.88 5.99 6.ii 6.23 o.i6 4.61 4.67 4.74 4.81 4.88 4.95 5.03 5.II U 5.91 5.27 5.36 5.44 5.54 5.63 5.73 5.83 5.93 6.04 6.i5 6.27 6.39 6.52 6.65.17 4.89 4.96 5.04 5.1 1.i8 5.26 5.34 5.43 5.51 5.60O 5.69 5.79 5.88 5.98 6.09 6. 6.31 6.42 6.54 6.66 679 6.92 7.06.18 [5.[8 5.26 5.34 5.4i 5.49 5.571 5.66 5.75 5.84 5.931 6.03 6.3 6.23 6.33 6.44 6.56 6.68 6.8o 6.92 7.05 7.19 7.33 7.48.19 5.47 5.55 5.63 5.7I 5.80 5.881 5.971 6.06 6.i61 6.26 6.36 6.47 6.57 6.69 6.8o 6.921 7.05 7.I7 7.31 7.45 7.59 7.74 7.89.20 |5.76 5.84 5.93 6.oi 6.Io 6.19 6.29 6.38 6.49 6.59 6.70 6.8i 6.92 7.04 7.16 7.29 7.42 7.55 7.69 7.84 7.99 8.14 8.31 s0.21 6.o5 6.131 6.22 6.31 6.401 6.50o 6.6 6.070 6.8i 6.92 7.03 7.15 7.27 7.39 7.52 7.65 779 7.93 8o 8.23 39 855 8.72.22 6.33 6.42 6.52 6.61i 671/ 6.8i 6.91 7.02 7.I3 7.25 7.37 7.49 7.61 7.74 7.88 8.oi 8.16 8.31 8.467 8.62 8.79 8.96 9.14 ~.23 6.62 6.72 6.8i 6.91I 7.02 7.12 7.23 7.34 7.46 7.58 7.70 7.83 7.96 8.09 8.23 8.38 8.53 8.68 8.85 9.1r 9.19 9.37 9.55 ~.24 6.91 7.01 7.11 7.21 7.32 7.43 7.54 7.66 7.78 7.91 8.04 8.17 8.30 8.45 8.59 8.74 8.9ol 9.o6 9.23 941 9.591 9.77 9.97.25 7.20 7.30 7.4I 7.51 7.62 7.74 7.86 7.98 8.ii 8.24 8.37 8.51 8.65 8.80 8.95 9.11 9.27 9.44 9.62 9.80o 9.991018 10-38 0.26 7.49 7.59 7.70 7.81 7.93 8.05 8.17 8.30 8.43 8.57 8.70 8.82 9.00 9.15 93' 9.47 9.64 9.82 ID. 00'I. I9 I.39 Io 0.59 10.8.27 7.77 7.88 8.oo 8.ii 8.24 8.36 8.49 8.62 8.76 8.90 9.04 9.19 9.34 9.50 9.67 9.8410.01 IO.2010.3810.5810791I00 11.22.28 8.o6 8.181 8.29 8.41 8.54 8.67 8.8o 8.94 9.08 9.23 9.37 9.53 9.69 9.85o 10.02 1o.2o1o.391o. 7o. 7io. 771o 9711.19 1.4o1 II.63.29 8.35 8.47 8.59 8.72 8.84 8.98 9.II 9.26 9.40 9.56 97 9.87 10o.o 3 I0o.21 10.38 o0.56110.76 1o.95 1i.5 1I.37 1II.5911.81 I2.05.30 8.64 8.761 8.89 9.02 9.I5 9.29 9.43 9.58 9.73' 9.891o.041o. 10.38 10o56 10.74 10o.o93I.o.311.331/54 II.761i. 99 i2.22 12.46 8.92 29II] 0.31 9.05 9.18 9.32 9.46 9.60 9.74 9.90 10.051I0.21 I0.3810.55 I0.73 1.91 II1.1 1I. 291.50 11.71 11.921. I52.3821.63 12.88.32 9.21 9.34 9.48 9.62 9.76 9.911i Ioo.0610o.21 0.38Io. 54'o107IIO.89I1107 11.2611.46 rI.66I11.87112. O812.31 12.54 12.7813.03 13.29.33 9.50 9.64 9.77 9'.920o.o6l0.2210.371IO 53 10.77I0.s871.05 II.23II.42 ii.6i ii.8i f2.02j 2.2412.46 12.69 12.9313. IS 13.44 13.71.34 9.79 9.93o10.o071io.221o.370Io.53io.69o.85 1I.031.2o 111.381II.57 11I.76 11.612.17 12.3912.6112.84113.0813. 3213.5813.85 14.12.35 Io.o8/1o.221o.371I0.521o.6810.8411.oo11.I17 I1.3511.53/11.721II.91 12.I11 I2.3212.53 12-751I2.98/13.22113.461372I3.984.25. 1.54 0.36 Io.36 Io.51 1o.661o.82 1o.98iI.15. 3 11II1.49 1I.67iII.86 12.o5 I2.2 12.46 12.6712.89 13.11 1335 13.6913.8514. II 4.3SI4.66 14.95.37 o o651o 8oo.9611.12 I1I. 28 1. 146 11. 631181 I2.00o2.IgI2.59112.59[2.80[ I3.0213.25 13.48113.7213 971I4. 23 14o 5014.78 15.07 I5.37.38 I o.4I.1o.61421 I.5 5911.76i I9412. I3 112.32 12.52 12.721I2.9313.I5, 13.37 13.60 13844 I4.0914.35 14.61 148915.1I815 48 15.79 ~39 II.24IQ 552112.421 I.90.107612.26I2.453 2. 85 13.06 I3. 27 13.491 I372 13.96 14.21 14.47 14.73 I5.00 15.28 1.581 5.88 16.20 ~39 11.32311.3.5 5 11.2. 9' 11I ~ 2.652..40 IT.521i.6811.85I2.0212.20I2.3812.57 12 77 912.9713.18 113.3 736i13.84 14.08 1432 1445714.8415101538 5.671 5.98 16.29 16. ~62 041,i 8oI1I.97I2I4112.321I2.so112.69I2.89'I3.o9 3.303.5113.7331I3.914.T9' 14.43r14.8 1r4.941 2 2,I5 481I5.7 7/60 6.38.16.70 17.03.42 I2.O9'12.26112.44I2.6212.811I3.41 1.4F3 12.381". 561E2 74)z 12.92 13.1213.3113.51 13.7~5IlI3~23 13.98414.1714.4 014.631488 15.13 15.739 r566o!5.951 624816.1517I6..8I7.1 17.86:44~ [2.671 2.8, o 3.2253.:825I36273 83 I.27:714.o473 14.97~q. 22 I5.85 r6.0316.3216 6 6.6:921 2I47.5S4I7.92 I8.2 j~ ~~~t I 0.46 I3.241jr 3 431r363 1r3.82 14.~03 14.2-134 44614i.68 14.92 I5.1(I15...4015.6 15.9 16.9 1.47 16.176 i17.06h/17.37iI7.69 8.38..~8 38,18.73 19).11.47 13.531r 3 72]13 9" 14.12 14.34 14.55 14.~77 15.00 15.24.I 5.4 9jI5.74u1r599 16.26 16.54 16.83 17.1I2117.43 177 5; iS~oS 18.42 18.7819I.4 19. I~52.48 13.82 140~1 22,14.4314.6414.861~86:5.o9 15.32 15.57 15.8216.0j~716.33176.6V 16.89 17.IS [7.4917.S o 8.121S. 46 18.SI.19.1S19(. 55'94 1785 18.17/I8.5sI.0lI9~8 I.oli.Q 20.35.49 14.11 ~ ~Sr i;: 15,61 ~rg~S~ IG. 4 1431 1146.3 14.94 I5 5/ 154 4 1 95. 6 15.8916 16.41 I6.66 16959 17.24 37 [71 9.20 Iu9.5u 139 [5 I4.!39.436014 816.3 1 5.25 1548 o15.72r 4615.96 I6.92151.4716 ~.7o'.4 17.0217 30'9 / 167,7 6o 17 3 7.90 18.32IS.741.S1.31969 972.3 207 16 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF TIHE COLLIMATION CORRECTION, Cc. Above the Pole the Correction has the same Argument: Declination of Star. sign as the Constant; below the Pole the Correction has the opposite sign. 0 Declination of Star. 860 35' 36' 37' 38' 39' 87 9 10' II' 12' 14 15' 88 36' 37' 38' 39' 40' 41' 42' 43' 44' 45' 46' 5. S. S'. 5 5. 5. 5. 5.. 5.. S. S. 5. 5. 5. 5. S. S. 5. 5. 5.. 0.01 o.17 0.17 0.17 0.17 o.17 0.20 0.20 0.20 0.20 0.21 0.21 0.21 0.41 0.41 0.42 0.42 0.43 0.44 0.44 0.45 0.45 0.46 0.46.02 0.34 0.34 0.34 0.34 0.34 0.40 0.40 0.41 0.41 0.41 0.41 0.42 0.821 83 0.83 0.85 o.86 0.87 0.88 o.89 o.9I o.92 o.93.03 0.50 0.51 0.51 0.51 0.51 o 0.60o o.611 o.6i o.6[ 0.62 0.62 o.63 1.23 1.24 1.26 1.27 1.29 1.3I 1.32 1.34 1.36 1.38 1.40.04 0.67 0.67 o.68 0.681 0.68 o.8o o.8i o.81 0.82 0.82 0.83 0.83 1.64 i.66.68 1.7.72 1.74 1.76 1.79 i.8i 1.83.86 0.84 0.84 0.85 0.85 o.86.OI I.01 1.02 1.02 1.03 1.04 o1.04 2.0 2.07 2.IO 2.2 2.15 2.18 2.20 2.2 2.26 2.29 2.32 o.o6 1.o01 I.01 I.0o2 I.02 I.03 1.21 1.21 1.22 1.23 1.24 1.24 1.25 2.46 2.49 2.52 2.55 2.58 2.61 2.64 2.68 2.71 2.75 2.79.07 II7 I.I8 I.I9 1.I9 1.20 1.41 1.42 1.42 1.43 1.44 1.45 1.46 2.87 2.90 2.94 2.97 3.01 3.05 3.09 3.I3 3.16 3.21 3.26.8 1.34 1.35 1.36 1.36 1.37 1.61 1.62 1.63 1.64 i.6/ 1i.66 1.67 3.27 3.31 3.35 3.40 3.44 3.48 3.53 3.57 3.62 3.66 3.72.09 1.5I I.52 1.52 1.53 1.54 1.8I 1.82 1.83 1.84 i.85 i.86 i.88 3.68 3.73 3.77 3.82 3.87 3.92 3.97 4.02 4.07 4.12 4.18.10 i.68 1.69 1.69 1.70o 1.71 2.o 2.02 2.04 2.05 2.06 2.07 2.08 4.09 4.14 4.19 4.24 4.30 4.35 44Il 4.46 4.52 4.58 4.65 1..85 1.85[ 1.86/ I.7 1.88 ]2.'21 2.23 2-.241 2.25{ 2.27/ 2.28[ 2.29] eI 2II.8j 1.85~i.86 1.87 4.88 2.21 2.23 2.24 2.25. 2.27 2.28 2.29 4.50 4.56 4.61 4.67 4.73 4.79 4.85 4.91 4.98 5.041 5.II ~12 2.01 2.02 2.03 2.04 2.05 2.41 2.43 2.44 2.46 2.47 2.49 2.50 4.9I1 4.97 5.03 5.09 5.6 5.22 5.29 5.36 43 5.50 5.58.13 2.18 2.10 2.20 2.21 2.22 2.61 2.63 26 2.66 2.68 2.6 27 5.32 5.38 5.45 5.52 559 5.66 5.73 5.80 5.88 5.96 6.04 14 2.35 2.36 2.37 2.38 2.40 2.82 2.83 2.85 2.87 2.88 2.90o 2.92 5.73 5.8 5.87 5.94 6.02 6.0o 6.17 6.25 6.33 6.42 6.50.15 2.52 2.53 2.54 2.55 2.57 3.02 3.03 3.05 3.o07 3.09 3.11I 3.13 6.I4 6.21 6.29 6.37 6.45 6.53 6.61 6.70 6.79 6.88 6.97 oi6 2.68 2.70 2.71 2.72 2.74 3.22 3.24 3.26 3.28 3.29 3.331 3.33 6.55 6.63 6.71 6.79 6.88 6.96 7.05 7.14 7.24 7.33 7.43.17 2.85 2.87 2.88 2.90 2.91 3.42 3.44 3.46 3.48 3.50 3.52 3.54 6.96 7.04 7.I3 7.2I 7.3I 7.40 7.49 7.59 7.69 7.79 7.90.18 3.02 3.03 3.05 3.07 3.08 3.62 3.64 2.66 3.68 3.7I 3.73 3.75 7.37 7.46 7.55 7.64 7.74 7.83 7.93 8.04 8.14 8.25 8.36.19 3.19 3.20 3.22 3.24 3.25 3.82 3.84 3.87 3.89 3.91 3.94 3.96 7.78 7.87 7.97 8.o6 8.71 8.27 8.38 8.48 8.6o4 8.71 8.83.20 336.37 3.39 3.41 3.42 4.02 4.05 4.07 4.09 4.12 4.14 4.17 8.19 8.28 8.39 8.49 8.6o 8.70 8.2 8.93 9.05 9.17 9.29 0.21 3.52 3.54 3.56 3.58 3.59 4.22 4.25 4.27 4.30 4.32 4.35 438 8.6o 8.70 8.861 8.91 9.03 9.14 9.26 9.38 9.50 9.63 9.76.22 3.69 3.7I1 3.73 3.75 3.76 4.42 4.45 4.48 4.50 4.53 4.56 4.59 9.00 9.II 9.22 9.34 9.46 9.57 9.70 9.82 9.95 10.08 10.22 ~.23 3.86 3.88 3.90 3.92 3.94 4.63 4.65 4.68 4.71 4.74 4.76 4.79 9.4I 9-53 9.64 9.76 9.89 Io. 1I0.14 10.27 1IO.4 IO 54 1IO.69.24 4.03 4.05 4.07 4.09 4.II 4.83 4.85 4.88 4.9T1 4.94 4.97 5.00 9.82 9.94 IO.0610I19 I O.3210.44 10.581IO.721IO.86 1.00..25 4.20 4.22 4.24 4.26 4.28 5.03 5.06 5.09 5.12 5.I5 5.I8 5.21 IO.2310.3610.48 IO.6 I.47510.88 11.2II.I6 II. 3I.4611.61 0.26 4.36 4.38 4.40 4.43 4.45 5.23. 5.26 5.29 5.32. 5.39 542 Io.641IO.771o.9oIi.031.711i.3211ii.46II.6 T1.76II.9212.o8.27 4.53 4.55 4.57 4.b60 4.62 5.431 5.46 5.49 5.53 5.56 5.59 5.63 [1.05 II.i8 132 11.o46 i.6o II.75 II.901I2.6 12.21 I2.38I 12.54.28 4.70 4.72 4.74 4.77 4.79 5.63 5.66 5.70 573 577 5.80 5.84 1 1.46 II.60OI.T74 I.88 12.o3 12.192.34i 2.5oI2.29 4.87 4.89 4.91 4.94 4.96 5.83 5.87 5.90 5.94/ 5.97 6.or 6.04 11.87 12.OI 12.16 12.31 I2.461I2.6212.78112.95 13.I2 13.29 13.47.30 5.03 5.06 5.o08 5.11 5.I3 6.03 6.07 6.io 6.14 6.i8 6.22 6.25 12.28I2.43 2.58 12.7312.89I3.0613.2213.4013.5713.75113.94 i~~~~~~~~~~~~~i~~~~~~ 0.31 5.20 5.23 5.25 5.28 5.30 6.23 6.27 6.31 6.35 6.38 6.42 6.46 I2.69 12.8413.0013.63.32134913.6 I3.613.84 14.02 I4.21 14.40.32 5.37 5.40 5.42 5.45 5.48 6.44 6.47 / 6. 5i 6.55 6.59 6.63 6.67 13.IO 13.25 134213.58 133.7513.93 14.II 14.29 I 4.48 144.67 14.87.33 5.'54 5.56[ 5.59562 55 6.64 6.68 6.72 6.76 6.80o 6.84 6.88 I:3.5 13.6713.84i14 t01 4. I814.3614.5514.7314.93 15.13 15.33.34 5i.7I 5.73 5.76 5.79 5.82 6.84 6.88 6.92 6.96 7.oo00 7.04 7.09 139214.0814.261I4.4314.6i14. 80 4.9915.8I15.38 15.59 15.80 ~35 5.87 5.90 5.93 5.96 5.99 7.04 7.08 7.I2 7.16 7.21 7.25 7.30 143314.50 I4.6814.85 15 041I'5.2315.4315.631 5.83 6.04 I6.26 0.36 6.04 6.07 6.io 6.13 6.i6 7.24 7.28 7.33 7.37 7.41 7.46 7.50 14.7414.9I5.09 I5.28I5.4715.67 1 7129 6.5 6.73.37 7 5 13 51i6.2i 6.24 6.27 6.30 6.33 7.44 7.49 7.53 7.57 7.62 7.67 771 I5I4I533I5II570I5.90 I6. II6.3II6.52I6.74i6.96 I7.I9.38 6.38 6.41 6.44 6.47 6.50 7.64 7.69 7.73 7.78 7.83 7.87 7.92 I5.5515.7415.9 i6I316.3 3 16.5416.751i6.9717.1917.4217.65.39 6.54 6.58 6.6i 6.64 6.67 784 7.8 794 798 8.03 8.8 8.3 5.966.5 6.3516.55176 6.917.917417.64I7.88 8.12.39 7.84 7.80 7.~~~~94/7.98/ 8.03 8.881.40 6.71 6.741 6.78 6.8i 6.84 8.04 8.09 8.I4 8.ig 8.24 8.29 8.34 16.3716.5716.771i6.98 17.I9 17.41 17.63 17.868 I.1oI8.34IS.-5 0.41I 6.88 6.91 6.957 6.98 7.02 18.25 8.291 8.34 8.391 8.44 8.49 8.55 16.78[16.98 1I7.4017.62 7.8418.0718.31 I8.55I8.7 91I9.o5.42 7.05 7.08 7.28' I 57.19 8.451 8.50o s. 8.6o1 8.6/ 8.701 8.75 17.191>7.40 17.6 1I7 1782 18.05'8.28 18.51 18.75 I9.00 I9.25:I9.5I.413 7.22 7.25172 7.32j 7.36 8.651 8.701 8.751 8.8o/ 8.85/ 8.91 8.96 17.60 17.8 18I~.03 18. 25 18.48 18.71 18.95 19.20 19.45 19.71'19.98.414 7.38 7.42 735~ 7.49! 7.53 8.85/ 8.90l 8.951 9.011 9.06j 9.12j 9.17 i8,oil 18.22 18.45 18.67 18.91I 19. 15 19.40 19.65 19.91 20.17 20.443.45 7.55 7.59, 7.62/ 7.66: 7.70 9.05/ 9.10l 9.16 9.21 9.271 9.321 9.38 1 8.421I8.64185.8 71 9.1019.349.519~5(.84 2o.oo)2o.36~2o.63120. 91 I~~~~~~~~~~~~~~~~~~~~~ 0.46 7.72 7.76 7.7j 7.83' 7.87 9.25 j~3i 9.36) 9.42' j4 j~s3 j.5j 18.8I19.52 19.5219.7720.0228' 5424.09'21.37 647 7.89 7.92 7.96' 8.o 8.04 9.45 9.51 9.56 9.62 9.68 9.74 9.80 19.24 I9.4 7,I9. 7II9.9520.200.4520.72 20.992I.26/2I.54'2I.84.8 8.o 8.09 8.13 8.174 8.21 9.652 9.71 9.77 9.831 9.88 9.9410.00 19.65 19.88 20. 320.3726320.8921. 1621.431.7222.0022.30.49 8.22 8.264 8.3 8.34 8.38 99.85 9.91 9.97 I0.03I0.09iI0.I5I0.21 20.0620.3020.55 20.82.062.602 88222.2.4622.77.50 8.39 8.43 8.476 Io.o6 oI85Io.24Io. 30136042 20.46o729621.2221.491.76,22.04232 6222.9223.23 I 17 I TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. I7 VALUES OF THE COLLIMATION CORRECTION, Cc. Above the Pole the Correction has the same Argument: Declination of Star. sign as the Constant; below the Pole the CorrecI'3; ~~~~~~~~~~~~~~~~~~~tion has the opposite sign. Declination of Star. S88 47' 48' 49' 50' 51 52 53' 54' 55' 56 57' 59 89 0 I 2 3 4 5' 6' 7 8' 5. 5. 5. S. 5. S.. S. 5. S. S. S S. 5. 5. 5. S. 5. 5. 5. 5. S. 5.. 0.o0 0.47 0.48 0.48 049 0.50 0.51 o.51 0.52 0.53 0.54 0.55 0.55 0.56 0.57 0.58 0.59 o.6o o.6i.62 0.064 o.65 o.66 o.67.02.95 0.96 0.97 0.99 100 1.02 -.o3 I.o5 i.o6 i.o8 1.io i.ii 1.13 1.15 1.17 1.19 1.2 1.23 I.25 1.28 1 I.30 33 35.03.42 I.44 I.46 1.48 1.50 1.52 1.54 I.57.59 i.62 1.64.67 1.70 1.72 1.75 1.78 I.SI.85 1.88 1.2 1.95 1.9I9 2.03.04 I.88 1.91 I.9:4 1.96 1.99 2.02 2,.05 2.08 2.2 2.I5 2.I8 2.22 2.26 2.29 2.33 2.37 2.41 2.45 2.50 2.55 2.60 2.65 2 70.05 2.36 2.39 2.42 2.46 2.49 2.52 2.56 2.60 2.64 2.68 2.73 2.78 2.82 2.86 2.91 2.96 3.oI 3.07 3.12 3.18 3.24 3.30 3.37 o.o6 2.83 2.87 2.90 2.94 2.99 3.03 3.08 3.13 3.17 3.22 3.28 3.33 3.38 3.44 3.50 3.56 3.62 3.68 3.75 3.82 3.89 3.97 4 04.07 3.30 3.35 3.39 3.44 3.49 3.54 3.59 3.65 3.70 3.76 3.82 3.88 3.95 4.01[ 4.081 415 4.22 4.30 4.38 4.46 4.54 4.63 45721.o8 3.77 3.82 3.87 3.93 3.98 4.04 4.10 4.I7 4.23 4.30 4.37 4.44 4.51 4.58 4.66 4.74 4.82 4.91 5.OO 5.10 5.19 5.29 5 394.09 4.24 4.30 4.36 4.42 4.48 4.54 4.62 4.69 4.76 4.83 4.91 4.99 5.08 5.i6 5.25 5.34 5.43 5.53 5.62 5.73 5.84 5.95 607.10 4.71 4.78 4.84 4-91 4.98 5.05 5.3 5.29 5.37 5.46 5.55 5.64 5.73 5.83 5.93 6.03 6.14 6.25 6.37 6.49 6.6i 6 741 onII 5.18 5.25 5.33. 5.4% 5.48 5.64! 5.73 5.82 5.91 6.oo 6.io 6.20 6.3 6.41 6.52 6.63 6.75 6.88.7. 00 7.14 7.27 7 14I O.Io 553.0548 556 5,64 5~231.4 30 g4 6g52I 6.12 5.65 5.73 5.81 5.891 5.98 6.07 6.i6 6.251 6.35 6.45 6.55 6.65 6.76 6.88 6.99 7II1 7.24 7.37 7.50 7.64 7.78 7.93 809.13 6.12 6.21 6.29 6.38 6.48 6.57 6.67 6.77j 6.88 6.98 7.09 7.21 7.33 7.45 7.58 7.71 7.84 7.98 S.I2 8.28 8.43 8.59 8 761.14 6.59 6.69 6.78 6.88 6.98 7.08 718 7.29 7.40 7.52.64 7.76 7.89 8.02.i6 8.30 8.44 8.59 8.75 8.9 9.08 9.26 944.15 7.06 7.I6 7.26. 7.37 7.47 7.58 7.70 7.S1' 7.93 8.o6i S.1 8.32! 8.45 8.6o 8.74 8.89 9.05 9.2I 9.38 955 9.73 9. 92 I. o,.iO 7.54 7.64 7.75 7.86; 7.97 8.09 8.21 8.33 8.-4 8.6o 8.73 8.87; 9.02 9.7932 9.. 810.0%I 0.19I 0. I 3810 5 8rI.7 8 7.897 5 s~ 9.3 9i4 97.65.17 8.oi 8.12 8.23 8.35; 8847 8.59 8.72 8.86 8.99 9.13 9.28. 436 9.58 9.74 9.9110.08 I.251T.4410.62 i.8211.03 II.241II461 48 8.6o 8.72! 68.84! 8.97 9.IO0 924.3.52 67 9.82 9.. I.3.4910 7.6.1.25.461.68.12.3 3 89~~5 907 966.201 9633!. 6. 6 48~ 69.ooiC o.oslo.211o.37/ 1o41o.77 Io.8918/.07 I9.261 7.461 i. 7667.88 I2.TO I2.3312.5612.SI 9.42 9.55 9.68 9.821 9.96. O26,Io.42i1o.S1io.7Iio.9i.opI.27 I0.4612I.60II.8512.O6I2.28I2.5OI2.73I2.97 I3.22 r3.4 0.21 9.89 I0.03 IO.I7 I0.3 rO.46 Io.62 IO.78ro.94 11..28Ir.46.6411.84 1203,2.24I 12. 45I2.67 2.89 I3. I23.37 13.6213.8 r415.22 I0.36 10.501 io.651 o.80 7.936.II.2 2.461 0!.64 II.821 2.0T12.2012.40 12.6I 2.8213.0413.2713-5i13.75514.I0I4.27114.5414.83.23 Io.831IO.98 II.14 II.301I.46 hI.63 Ir. 8 6 36 12.5512.75!12.96 13.1ISI3.40 13.631I3.87 I4. I2'I4.38 14.6414.21.115.5.23 I I. 80 1 1. 98 12. i6 12.64 I4.92 I5.21 15-9.73 992Io.4.24 7II.30.46 io.62 I.7'7II.96 I2.13 2.3112. 509f2.69/12.8913. I013.3113.53 I3975 r3.98r 4.221I4.48014731 5.0015.28915.5715.87 i6.8 II 30 II 2!.38.4 7 1 8:9 872/88~89;I 9:39:2 9:3~ 9.25 11.7811.94 12.10 I2.2812.46 12.64 12.83 13.02133.22 1343113.6 3.86 614.09 14321457 14.82 I5.04 15.35 15.62 I5.92 16.2216.53 i6.84 0.26 I2.25 I2.4112.591 2.77 96 1. T413 343.541 3.75 7 14 191I4.4211 4.6 I4.901515 I545.615.961i6.25 i6.55i6.87I7.I 7.52.27 12.72 12.89 I3.07 13.2613.45 I3.65I31385 i4.o614.28i4.i4.7314.97 15.22 15.47 15.731i6.o006.228i6.58 6.88 I7.19 I7.5175 7,8' i8.20.28 93. 7 9I3.3713.5613..75 I3.95 14.614371 4.85 5.18 T415.2815-5315.78 16.04 16321 i6.6o1 i6.8917I.29617.501782. 1 8.161o8.5 6IS.87.29 I3.66 J3.85 14.041 14. 24 I 4.4 5 I4.66 14.883I5. 5.3415.58i5.83I6.oS.I6.34 I6.62 I6.go 171917.4917. 80 o18.I2 I8.46 IS.8III7I955 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~.34 I91 9I.30 I4.13!14.3214.5314. 73 14 95 I5.17 15.3915.63 15.87 i6.12 i6.371i6.641i6.91 I7.1917.48 17.7S180918.42,18.75.19.10 19.4619 ~.83,20.22! 0.31 I4.6o0I4.80 1 I51.0 5.22! 15-45 T5.67 I5.91 16.1 51 6.40 I6. 6516.92 17.19 1747 I7.7618.o6 18.371.0901.31.3o12.49 20.89.32 I5071528 15.4915. 7215.95 I6.I8 i6.42 I6.671i6.92 17.19I1.4617. 7418.04 18.34 I8.6518.9719.3019.64 20.00 20.37 20.762I. i62I. 57.33 I5.5415T 76 15.98 16.21 16.44 i6.68i6.9317.I9 17.457.7318118.3o18.60 18.9119.2-39.56r90920o 26 20.62 2I.o1 2I.4121I.82 22.24.34 T6.oi I6.23 i6.47 I6.7o1i6.94 I77.19 17.4517.71 I7.98 18.2618i551i8.85,19.16 T9.4819.81 20.120-5120.87 2.25 216422.o6 224822.02 0.36 16.96 17.I9 17.431I7.6817.94 I8.20IS.4718 IS.75,1904. 3419.3.65 i9.9620.29 20.63 20.92I.34217122.022.5022.9223.3523.824.26.37 17.43 I7.67 17.92 18.I7 18.44 i8.71i8.98 19.27 19. 57IC). 8820. 920-5220.s22.85 21.202.56 21.93 22.32 22. 71232.I223.55 24.0 24.4624.9.4 2 0. 1 0 1 2 0 9 2 4. 6 5 2 5I I. 121 I5. 6i~. 6 2. I.38 I7.9o018. I 4140 I8486618. 94 19.21 I9.5019.7920. 0 4120.74 2I.07 21.42 21. 7722. I422.5222.92 23.3 323.752.I24.6525.I225.61 o39 972 20.020 320.95. 21. 3.9 22.35722.73 23I 2 52123 94 24 38 24 8311253 782 189.IS-378I.62zo8.88 79.15 I9.43 0 20 20609 8 6 8 4o I7 [o.3~I~~~~~~~~~~o.46 ~, ~, ~ ~ ~ ~ ~ ~,....3 2.32.512412612f 133136~ S4 ~40 I8.SiI9.IO;T.23 I ~4~.3o 20.4.22.20. 85 o21 122 22.92 23. 31.23.7 24.13 24.5425.0025425.95 26.44 26. 6.40 18-I.849.1019.371 9. 641 39(.93 52 208421. 612 I 492.83122.81. 6 313.56 2120 7. 2 IO 12.28 2.', i zr.88/2.zr 2.5 3.,~ r3.2987 24.07224.47]24.825.325.7826.25.26.74 72527.7728.3.4 32~843 9.Ir.j.31.J.9J4o 22. 5613~~o22.9223.291/ 23.6 24.64125.0625.49' 25.>4 26.40o26.88127.37 27.89128.43128.98.44[ 494o48 5.1562 ~41 20. 72121 0I O21.30 21. 61 21.93 I22/22.52.2 32(3.42 O 340 48 ~ iI2.46. o826. 54I27. o127.5o 28.o128.s4/29o9129. 66 222 225 i29 232I3642:i2.45 21.20;21.49 21.79 2 2.I0722.426 25.78 26.7271 27'.( 4 ~~~~~~~~~092.44123.8 26.22 3 )3 28.1 28.6 29.19 29.75 30.33 0.46 2T6~ I 2912 722532 2 1 326"?3 60123.96124.j3324.7I125.~T0i25.51.25.93 26z.36/26.80 27.262~7.74'28.24/28.75129. 2829.8413o.4I13 I ~o.47 22r2.42.613 ~o12 4 23~76K24 i2124.48 24.86/25.25125.65 26.06 26.49) 26.93 27.39 27.86 28.35 28.85 129.38 29.92 30. 4931.0731.T68.48 22.61'22.9g223.24/23.57/23. 92 24.27124.6325j.00125.392"5.~79126.~1926.62 27.05 27.50127.9728.45 28.95 29.47 30.00130.56313.4 341.~73 32. 35.49 23.08oSI23.40 23.073124.6 2.4. 77 25. 1425.5 425.92 26.32 26.74 I27. 27.62 28.08o28.5529.0429.5530.0830.62 31.191.793 2.3933 o.50 23.55238724.214.5624.91 25. 28725.662.0426.45.2686 2728627.7228.18 28.65129. 429.6430 6307.70 3.259 3.8.332.4333 o6337 o.3I -. I. I _ 3-14~.o1s2~.5~.72 App.9.5i.4.6t.2 79 I. 7 7 to68./I7/9o397/o./22.9 GENERAL TABLES OF INSTRUME NTAL CORRECTIONS FOR'I'HRE REDUCTION OF TRANSIT OBSERVATIONS AT'I'llTE U. S. NAVAL OBSERVATORY. EXPLANATION OF TABLES. In the following tables thle first column on each page contains five values of the Constant, and the remaining columlns contain the corresponding Corrections. The argient is the zenith distance soitth of the object observed, and is found at the top of each short column of Corrections. For the methods of determining the values of the factors A, B, and C(7, and tle Constants a, b, c, see " Introduction to the Observations with the Transit Circle, I870." r - N H H~~~~~~~~~~~~ [ l~~~~~~~.=-n TABLES OF!NSTRUMENT3JL CONSTANTS AND CORRECTIONS. 24 VALUES OF THE AZIMUTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 303~ Argument: Zenith Distance South. the Correction has the same sign as the Constant; between 315~ and o~ it has the opposite sign. ~5~ ~4~ S3~ S2~ ~1~ SO~ 79~ 7S~ 77~ 76~ 75~ 74~ 73~ 72~ S. S. S. S. S. S. S. S. S.. S. S. S. S. o.o~4 o.oi4 o.oT4 o.oi4 o.o13 o o13 o.o13 o.o~3 o.oi2 o12 o.oi o.oi2 o. II o.111.028.028.028.027.027 026.026.025.025.02.023.12.042 O2~.042.o42.o4I.'040 o39.039.038.037 o~.I2~}.o3.035.I3.I3~ ~ 057.o56.o55.054.o53 052.o51.o51 050.04.047.I4.I45 o47.072.o7o.o69.o68.o66 o65 o64.o63.662 o(.o~.o59.15.I57 71~ ~O~ 69~ 68~ O~~ 66~ 65~ 64~ 63~;2~ 61 60~ 59 55<' O.OII O.OII 0.011 O.OII O.OIO O.OIO O.OIO 0.010 0.010 010 o.oc o 009 0.009.022 o.oo(~.O22.fl22.O2I.021.O2I.020.020.O20.OI O19.O18.OIi ~ 033.o33.o32.o32.o3r.o3I.o30.o30.029 o::.o: 028.027.02'7 01~ 045.044.043 042 042.o41.o40.o40.039 o<~8.o~ 037.036.o3i5.056.o55.054.053.o52 ~.o51.050.o5o.049.048.oi 046.046.o415 56~ 54~ 52~ 50~ 4~~ 46~ 44~ 4~~ 3S~ 36~ 34~ 32~ 301 0.009 0.008 0.008 0.008 o.oo8 0.007 0.007 0.007 0.006 0.006 0.006 0.005 0.005.oi7.o17.oI6.oi6.OI5.OI5.o14.o14.OI2.OI2.OI.OII.OI13.026.025.024.023.022.022.O21.020.O18.O17.OI.OI6.O1'5 ~ 035.034.032.O31.O30.029.028.027.025.024.02.O21.O2i~ ~ 043.042.o40.o39.o38.036.035.034.o31.o29.o2.027.o2!5 ~~o [ ~6o 2~o 220 20~ 18o 1Io 16o 130 12 11~ IO' o.oo5 I o.oo5 0.004 o.o04 0.o04 0.o03 0.o03 0.003 0.o03 o.o~ 0.o02 0.00:2.OIO.009.oo8.0o8.007.007.o06.006.oo5.oc.oo4.o14.oo~.o14.o13.o12.o1~.OlO.o09.009.cos.oc.oo7.oo( 04.Ol9.o18.o17.o16.o14.oi3.o13.o12.OIO.CC.009.008 O5.024.022.O2I.OI9.O18.O17.OI6.oi5.O12.OI.OII.OIO 9o ~o ~o 60 50 4o 30 2o 359~ 358 357~ 356~ OI O.0O2 0.OO2 O.OOI O.OOI O.OOI O.OOI O.OOI O.O00 O.OCO O.OC O.OOI O.OOI 02.OO4.003.O03.O03.O02.O02.0OI.00I.OCO.OC.OOI.002 o3.005.ooq.004;004.o03.002.O02.OOI.OOI.OC.002 04.007.oo6.006.005.oo4.003.oo2.oo2.ooi.oc.oo3.ooi.00~ 05.009.008.007.006.005.004.003.002.ooi.oc.004.005 355~ 354~ 353~ 352~ 351~ 350~ 349~ 3~S~ 347~ 346~ 3~5~ 344~ 343~ 34~ oi o.oo1 o.ool 0.002 0.002 0.002 0.003 0.003 0.003 0.004 0.004 0.004 0.005 0.005 o.oo45 02.oo2.oo3.oo4.oo4.004.oo5.006.007.007.008.009.009.OlO.Oli 03.oo4.oo4.0o5.oo6.oo7.oo8.oo9.OlO.Oll.oi2.o13.oi4 -.o16 04.o1~.oo5.oo6.oo7.oo$.oo9.Oli.oi2.o13.o15.o16.o17.oi9.o2I.o2: o5.o06.oo7.009.OlO.oi2.oi3.orS.oi6.o18.o2o.o22.o24.o26.o28 341~ 340~ 339~ 33S~ 337~ 336~ g35~ 334~ 333~ 332~ 331~ 330~ 329~ 328 Ol 0.006 0.007 0.007 0.008 0.0o8 0.009 O.OLO O.OLO O.Oli o.o12 O.O13 o.oi4 o.o15 o.o16 02.o~2.Ol3.oi4.oi5.o16.oi8.oi9.o21.022.024.026.028.o~o o32 03.o18.020.o21.o23.025.027.029.03[.033.036.o39.042.o45 049 04.024.026.028.o31.033.035.038.o4I.045.048.052.056.o6o 065 05.o3r.033.036.038.042.o45.048.052.056.o60.064.o69.o75 o8r ~ 327~ 3~6~ 325~ 324~ 3~3~ 322~ g21~ 320~ 319~ 318~ 317~ 316~ 315~ 3~3~ oI o.o18 O.Ol9 o.o2I 0.022 0.025 o.o27 o.o3o o.033 o.o37 o.o42 o.o48 o.o56 o.o66 o o82 02.035.038.042.045.050.o55.060.o67.o75.pSH.097.II2 I34 164 03.053.057.062.068.o74.082.09o.~oo.112.I27.146.I68 20o 246 o$.o7o.o76.o83.o9I.o99.Io9.~2o.I34.I5o.I7O.~94.224 267 327 o5.088.o95.lO3.I12.123.I36.15o.I67.I87.211.242.280 332 4o8 302~ 301~ 3~O~ ~9~ 298~ 297~ 296~ 295~ 294~ 293~ 292~ 291~ 290~ 289~ o.o71 o.o62 o 056 o5r 0.047 0.043 0.040 0.038 0.036 0.034 0.032 0.030 0.029 o.o28.I42.125 I13 lO2.o94.087.o8r.o76.o7I.o68.064.o6I.058.056.212.I88 168 153.140.130.121.113.107.IOI.O96.O92.O87.084 ~ 283,25o 224 204.187.I73.16I.I51.142.135.I28.I22.II6.~1I ~ 353.312 280 254.233.216.2oi ~ 89.~78.!68.I59.~52'~45.139 288~ ~87 2~6~ ~5~ 284~ 283~ 282~ ~1~ 280~ 279~ ~78~ 277~ 276~ 275~ 0.027 0.02 0 o25 o24 0.023 0.022 o.o22 o. 2I 0.020 0.020 o.0I9 0.019 0.Ol9 0.018 ~ o54.o5 050 048.046.045.043 ~ 42.o4r.o40 039 038.o37.036.080.07 074 072.069.o67.065. 63.o6~.060 o58 o57.055.o54.Io7.io o99 095.092.089.087 ~ 84.o82.079 077 o75.073.072 ~ 133.12 123 119.Ii5.II2.IO8 ~ 05.xo2.o99 096 094.o92.o89 TABLES OF INSTRUMENTAL'CONSTANTS AND CORRECTIONS. 25 VALUES OF THE AZIMUTH CORRECTION, Aa. 03 Between o~ and 85~ and between 275~ and 3030 o Argument: Zenith Distance South. the Correction has the same sign as the Constant; between 3150 and o~ it has the opposite sign. s. S. S. s. s. s. s. s. s. s. s. s. s. s. s. 0.06 o.o86 0.085 0.083 o.o 0 o.o80 0.079 0.077 0.076 0.074 0.073 0.072 o.o7 0.070 o0.068.07.101 O.099.97.095.093.092.090.o8o.088 87.085.o83.o82.o8i.080.08.115.113.110.109.io6.105.I02,101.099.098.095.094.093.091.09.30.1I27.124.122.120,II8.115.113.II2.110.I07.i06.104.103.10.144.14I.138.136.133.13I.128.126.124.122.120.118.ii6.114 710 70~ 690 680 670 660 650 640 630 620 610 60 590 58s o.o6 o.o67 o.o66 o.o65 o.064 0.062 o.o6 o.o60 o0.059 0.059 o.o58 0.057 o.o56 0.055 0.054.07.078.076.075.074.073.072.071.o69.o069g.067.066.065.064.062.o8.090ogo.87.o86.o85.083.o82.o8I.o79.078.077.o75.074.073.071.09.101.098.097.o95.093.092.09I.089.o88.o86.0.084.082.o80.10.112.11.108.Io6.IO4.I03.IOI.99.098.og96.094.093.09I.089 560 B540 520 50~ 4S0 460 440 420 490 38~ 360 340 320 30~ o.o6 0.052 0.052 o.049 0.047 0.045 0.043 0042 0. 0.038 37 0.035 0.034 0032 0.030.07.o6I.059.057.055.052.050.048.047.045.043.041.039.037.035.08.070.067.065.062.0o60.058.o56.o054.05I.049.047.045.042.040.09.078.076.073.070.0o68.065.063.o60.058.056.053.050.048.046.Io.087.084.o8I.078.075.072.070.o67.064.o62.059.056.053.051 28~ 260 240~ 220~ 20o 18O 17~ 160 15 140 13~ 120 110 10~ o.o6 0.029 0.027 0.023 0.022 0.020. 8 o.o6 0.I5 OI4 OI3.OI2.07.034.032.029.027.025.023.022.02I.020.oI9.01.oi6.oI.014.08.038.036.034.31I.029.026.025.024.023.022.020.019.Oo8.I6.0o9.043.040.038.035.032.030.028.027.025.o24.022.02I.OI9.oI8.10.048.045.042.039.036.033.032.030.028.027.025.023.022.020 9~ 80 70 60 50 40 3 20 10 0 3590 358o 3570 356~ o.o6 o.oII 0.010 0.008 0.007 o.oo6 0.005 0.004 0.003.ooI 0.000ooo o.oo 0.003 0.004 o.oo6.07.0I3,OII.010.009.007.00oo6.005.003.002.000.002.003.005.007.08.014.oI3.o12.010.oo8.007.005.004.002.000.002.004.oo6.oo8. 09.oi6.04.o13.01.009.008.00oo6.004.002.ooo00.002.004.oo6.009.10.oI8.Oi6.014.OI2,OIO.oo8.co6.004.002.000.002.005.007.OIO 355~ 3540 3530 3520 351~ 350~ 3490 3480 3470 3460 3450 3440 3430 3420 o.o6 0.007 0o.o9 O.OIO 0.OI2 OO14 O.Oi6 O.OI8 0.020 0.022 0.024 0.026 0.029 0.03I 0.033.07.oo8.oI0.OI2.014.oI6.OI8.021.023.025.028.03I.034.036.040.o8.OIO.012.o14.oi6.oI8.02I.023.026.029.032.035.o38.042.045.og.OII.OI3.o6.oi8.021.023.027.030.033.036.040.043.047.051.10.2.I.o18.15 20. o..02.026.030.033 1.036,o040.044.048 052.o56 3410 3 340 3390 3380 3370 336~ 3350 3340 3330 3320 3310 330~ 329" 328~ o.o6 0.037 0.040 0.043 0.046 0.050 0.054 0.058 0.062 o.o67 0.072 0.078 0.084 0.090 o.o97.07.043.046.050.054.058.062.o67.072.077.083.090.097.I05.113.o8.049.053.057.062.0o66.071.077.083.o88.095.103.111.I20.130.09.055.059.o64.o69.075.o80.o86.o93 00.o.8.11ii6.125 I35.146.10.o6I.o66.071.077.083.089 96. 103.11.I20.129.139.150.162 3270 3260 3250 3240 8230 3220 3210 320 3190 318o 3170 3160 3150 3030 o0.0o6.105 0.II4 O.124 O.135 0.148 o. 63 O.I80 0.200 0.224 0.253 0.290 0.337 0.399 0.489.07.122.133.144.I58.173.190.2IO.234.262.296.338.393.466.57I.08.140.152.165.I80.198.217.240.267.299.338.387.449 *532.652.09.158.171.I86.202.222.244.270.301.337.380.436.505.599.734.10.175.190.207.226.247.272.300.334.374.423.484.56I.665,8i6 3020 3010 3000 2990 298~ 2970~ 960 2950 2940 2930 292~ 291~ 290~ 2890 o.06 o.423 0.374 0.335 0.305 0.280 0.259 o.241I 0.226 0.2I3 0.202 O.I9I O.182 O.I74 0.167 ~.07.494.436.391.356.327.302.281.264.249.235.223.212.203.I94.08.564.499.447.407.373.346.322.302.284.269.255.243.232.222 ~.09.635.56I.503.458.420.389.362.339.320.302.287.273.261.250.10.706.624.560o. 509.467.432.402.377.355.336.319.304.290.278 2880 2870 2860 2850 2940 2830 2820 2810 280o 2790 2780 270 2760 2750 o.06 o.i6o o.1I54 o.I48 o.143 o0.138 o.134 o.13o o.I26 O.122 O.II9 o.II6 O.II3 O.II0 O.I07.07.i186.I79.I73.166.i6i.i56.151.i147.i43.139.135.132.128.I25.o8.213.205.198.190.i184.I78.I73.168.163.I58 I54.150 146.43.09.239 |.231.222.2194.207.201 9 189.183.178.I74.169.i65.i6i.10.267.256.247.238.230.223.216.210o.204.I98.I93.i88.I83.179 4 —72 APP. I 26 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THE AZIMUTH CORRECTION, Aa. Between o' and 850 and between 2750 and 3030 Argument: Zenith Distance South. the Correction has the same sign as the Constant; QO~~~~~~~~~~~~~~~ ~~~~~~between 3150 and o~ it has the opposite sign. 850 840 830 20 ~1O SO~ 790 7s~ 770 760 750 740 730 720 S,. S S. S. S, S, S. S..S, S..... S. S, S. o. II 0.158 0i.155 0.152 o.150 0.146 0o.144 0.141 o0.139 o.136 0.134 0.1 I32 o. I29 0.127 0o.125.12.173.169.i66.163.16o.157.I54.151.149.146.143.141.I38.136.13.187.183.179.177.173.I70.166.164.6 I.158.I55.152.150.147.14.202.197.193.19o.i86.r83.179.176.174.17o.167.164.i6i.159.15.2i6.212.207.204.I99.196.192.189.i86.183.179.I76.173.170 710. 700 690 68~ 67o 660 65~ 640 630 620 610 600 590 580 o.1i 0.122 0.120 o.11ii8 0.117 0.115 0.113 O.II O.109 0.107 0.105 0.104 O.102 O.OO 0.099O.12.133.131.i29.i27.125.123.121.119.II7.ii5.113 III.Iog9.IOs.13.I45.142.140.138.135.134.131.129.127.125.123.121.I9.117.14.I56.I53.I51.148.146.I44.I4r.139.I37.I34.I32.130.128.126.15.168.164 62.159.156.154.I52.149 46 I44.I42.139.I37.135 560 540 520 500 480 460 440 420 400 38S 360 340 320 300 O.II 0.096 0.092 o.o89 o.o86 0.082 0.079 0.077 0.074 0.070 0.067 0.065 0.062 o.o58 o.o56.12.104.10.097.094.090.086.083.080.077.074.o71.067.064.o61 ~. 13.113.lO9.1O5.1O0.098.094.o91.087.083.080.077.073.069.066.14.121.ii8.113.lO9.105.101.098.o094.090.o86.082.078.075.o7I ~.15.130o.i126.121.117.112.Io8.104.OO.096.092.088.084.o8o.076 280 26" 240 220 200 1~ i 1r' 160 15~ 140 130 120 11~ 100 0.1I 0.053 0.050 0.046 0.043 0.040 0.036 0.034 0.033 o.o3r 0.030 0.028 0.025 0.023 0.022.12.058.054.050.047.043.040.038.036.034.032.030.028.026.024.13.062.058.055.o051.047.043.o041.039.036.034.032.030.028.026.14.067.063.059.055.0o51.046.044.042.039.037.035.033.030.0o28.15.072.o68.063.059.054.050.047.045.042.040.038.035.032.030 90 s0 70 60 50 40 30 20 10 00 3590 3580 3570 3560 o.II 0.020 o.oi8 0.o15 o.OI4 0.012 0.009 0.007 0.005 0.002 0.000 0.002 0.005 o.008 0.010oo.12.022.020.017.015.013.o011.00oo8.005.003.000.003.00oo6.008.OII ~.13.024.021..0. oi6.14.Oli.008.oo6.003.000.003.oo6.009.012 ~.14.025.022.020.oI8.015.O12.009.oo6.003.000.003.oo6.0IO.013 ~15.027.024.022.019.o016.013.OIO.007.003.000.003.007.oio0.OI4 3550 3540 3530 3520 3f510 3500 3490 3480 3470 3460 3450 3440 3430 3420 0.11 O.O13 o.oi6 0.019 0.022 0.025 0.029 0.032 0.036 0.040 0.044 0.048 0.053 0.057 0.062.12.014.oi8.021.024.028.032.035.040.044.048.053.058.063.o68 ~13.oi6.O19.023.026.030.034.038.043.047.052.057.02.o68.073 ~.14.O17.020.024.028.033.037.041.046.051.056.o6i.067.073.079 ~15.OI8.022.026.031.035.040.044.049.055.0o6o.o66.072.078.085 3410 3490 3390 3380 3370 3360 335" 3340 3330 3320 3310 3390 3290 3280 0.11 0.067 0.073 0.078 0.085 o.o091 0.098 o.io6 O.II3 o.122 0.132 o.142 o.153 0.165 0o.178.12.073.079.086,092.100.1O7.115.124.133.143 154.66 I79.194.13.080.o86.093.100.io8.ii6.125.I34.144.155.167.I8O.195.211.14.086.093.100.io8.116.125.134.I45.i56.i68.180.95.210.227 ~I5.092.099.107.116.125.I34.I44.I55.i66.179.I94,208.225.243 3270 3260 3250 3240 3283 3220 3210 3200 3190 31SO 3170 3160 3150 803 0.11 0.192 0.209 0.227 0.248 0.272 0.298 0.330 0.367 0.4II 0.465 0.532 0.617 0.731 0.898.12.210.228.248.270.296.325.360.400.448.507.580.674.797 0.980 ~13.228.247.269.292.321.352.390.434.486.550.629.730.864 I.o6r.I4.245.266.289.315.346.379.420.467.523.592.677.786.93o.143 ~15.263.285.310.338.370.407.450.500.56i.634.725.842 997 1.225 3020 3010 3900 2990 2980 2970 2960 2950 2940 293" 2920 2910 290 2890 0.11 0.777 0.686 o.6i6 0.56 0 o.514 0.475 0.443 O.4I5 0.391 0.370.351 0.334 o.319 0.305.12 0.848.748.672.6io.560.518.483.452.426.403.383.365.348.333.13 O.918.81I.728.66i.607.562.523.490.462.437.415.395.377.361 ~14 0.989.873.784.712.653.605.564.528.497.470.446.425.406.389 ~15 1.059.936.840.763.700.648.604.566.533.504.478.456.435.417 2880 2870 2860 2850 2840 2830 2820 2810 2800 2790 2780 2770 2760 2750 0.11 0.293 0.282 0.272 0.262 0.253 0.245 0.238 0.231 0.224 0.218 0.212 0.207 0.20l o.196.12.320.307.296.286.276.268.259.252.245.238.231.226.220.214.I3.347.333,321.309.299.290.28I.273.265. 257.250.244.238.232 ~14.373.358.346.333.322.312.302.285.277.270.263.256.250 ~15.400.384.370.357.345.335.324.315.306.297.289.282.274.268 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 27 VALUES OF TttE AZIMUTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 3o3~ Argument' Zenith Distance South, the Correction has the same sign as the Constant' between 315~ and o~ it has the opposite sign. 85~ S4o ~3~ S2o Slo SOo 79~?So 77~ 70~?5~ 7~o 73~ ~2~ S. S. S. S. S, S. S. S. S. S. S. S. So S. o.16 0.230 0.226 o.221 o.218 o.213 0.209 0.205 0.2 198 O.I95 o.191 O.188 O.185 o.181 ~ I7.245.240.235.231 226 222.218.2 2II.207.203 200.197.I93.I8.259.254.248.245.239.235.230.2 223.220.2I5.212.209.205.I9 274.268.262.258 253 2,19.243.2 236.232.227 223 220.216 20 287.282;276.27I 266 26I.256.2 248.244.239.235.23I.227 71~ 70~ 69~ 68~ 67~ 66~ 65~ 6J 13~ 62~ 61~ 59~ 8S~ o. I6 060~ o.178 o.174 o.172 o.17o o.167 o.164 o.162 o.I t56 o.153 o. I51.I48 o.146 o.143 17.189.185.I83.18o.177.174 172 166.163.16o 158.155.152.18.2Ol.196.194.191.187 185 182 I76.172.17o 167.I64,161.19.212.207.2o5.2Ol.198 195 192 185.182.179 I76.173.17o 20 223.219.216.212.2o8 205 202 195.192.189 186.I83.179 56~ 54~ 52~ 50~ 4~0 46~ 440 LOO 380 360 $io 32o aOo o. I6 o.139 o.134 o. I29 o.125 o.12o o.116 o.112 lO3 0.099 o.c9~ o.c9o 0.056 o.o8r t7.148.143.138.133.128.123.I!8 1Io9.lO5.IOO.095.[)91.o86 I8.157.151.145.14o.135.I3o.125.~I5.ill.lO6.IOl.096.o9~ lO.165.16o.I54.148.I43.137.I32.I22.117.112.lO6.lO1.o96 26.173.168.162.156.15o.145.I39.12~.123.118.112.lO7.lOl 28~ 26~ 21~ 2~~ 20~ 18~ 15~ 14~ la~ 12~ 1~~ IO~ o.16 o17~ 0.077 0.072 0.067 o.063 0.058 0,o53.050 0.045 0.043 0.04( o.o31 0,,035 0.032 17.082.076.o71.066.o61.056 054.048.045.o4~.o4c.o37.034 18.086.o81.o76.070.065.059 o57.o51.048.o4!.o4:.039.036.19.o9r.086.o8o.o74.o69.o63 060.o54.o5r.o4f.o4:.o4I.038 2o o96.09o.054.076.072.o66 063.o57.053.%(.o41,043.040 9~ ~o 7o 6~ 5~ 4~ ~~ 2~ 1~ 0~ 359 35S 356~ o.16 ~57~ 0.029 0.026 o.o23 0.020 o.o17 o.oI4 oio 0.,007 vo4 o.ooo o.oo o.oo;,oi1 o.oi5 17.o3r.027.024.o2I oi8.oi4 oIr.,o07 3o4.ooo.oo..oo~,oI2.oi6 I8.033.029.026.022 Ol9 oi5 o12 008 304.ooo.oo:.oo~,oi3.o17 ~ I9.034.o31.027.024.020.o16 o12 oo8 304.ooo 004 009,o13.o18 20 036.033.029.o2~.o21.o17 oi3 009 305.ooo 004 009.o~4.o19 355~, 354~ 353~ 352~ 351~ aS0~ 19~ 348~ tg~ ai6~ 31~~ all~ al2~ f~la~ o.16 o.oi9 0.023 0.028 0.033 0.037 0.042 047 0.'053 ~58 0.064 0.0'70 o.o77.083 o.c9o.17.02o.025.030.035.o40.045 050 056 062.068.0:75.o81.088.o96 18.o22.o26.o31.o37.042.o47 053 059 065.o72.o79.086.o94.lO2 19.023.028.033.039.044.050 056 062 069.076.oS3.o9~.099.lO7 20.o24.o29.o35.o4r.047.053 059 o66 073.080.o88.o96.IO4.113 341~ 310~ 3390 338~ 337~ 336~ ~5' 334~ ~3~ 33~~ 330~ ~29~ ~28~ O.16 3371 0.098 o.106 O.114 O 123 O 133 O.143 154 o.165 178 0.i9I 0.2{ 0.:222 0.240 0.259 17.IO$.112.121 131 I4r.152 I63 176 189.2o3.2:I9 236.254.275.18.11o.119.128 139 149.16o 173 186 200.213.2'32 250.269.29r 19 116.126.I36 147 I58.169 182 I96 211.227.2145 264.285.308 20.I22.I32.143 154 166.178 192 207 222.239.257 277.3oo.324 327~ 326~ 325~ 324~ 323~ 322~ ~1~ 320~ 19~ 318~ 317~ 316~ ~g15~ 303 o 16 o.28o 0.304 o.331 0.360 0.395 0.434 ~8c 0.534 598 0.676'o.773 0.898 ~.o63 ~.3o6 ~ 298.323.35~.383.a2o.461 51c 567 635.7~8.8:22 0.954 1.13o ~.388 ~ 315.342.372.406.445.488 54c 600.673.76r.870 1.oro r. I96 1.46o ~ 333.36I 392.428.469.515 57c 634.7~o.803.9~8 r.o66 1.263 ~.54~ ~ 35~.380 414.451.494.543 6oc 667 747 845.967 1.123 1.33o ~.633 302 301~ 300~ 299~ 29~~ 297~ ~6 ~95~ 29~~ 2~ 291~ 290~ 2~9~ 1.~3( 291~o 0.998 0.896 O.814 0.747 0.692 644 0.604 0.568,o. 0.5 0.486 0.464 0.444 x.2o 1.o61 o.952 0.865.794.735 68.64I.604 516.493.472 x.27:.~42 x.123 1.oo8 o.916.840.778 72.679.639 274 547.522.5oo 1.34: ~.185 1.o64 0.967.887.821 76.675.6,36 577,551,528 x.41:.~7 1.248 1.12o I.o18.934.864 80 ~ 55.711.638 rio7.580'.555 288 287~ 286~ 285~ 284~ 283~ ~ 281~ 280~ 2' 278~ 277~ ~76~ 275~ o.42' o.410 0.395 o.38~ o.368 o.357 34 0.336 0.326 o. 0.3,08 o.3or 0.293 0.286,45: 435 420.405.391 379 36.347 328 320.3~.304 ~57 ~ 48, 461 445.428.414 4Ol 38 78.367 338.329 322 50 486 469.452.437 424 41 ~.387 357.348 339.~198 ~ 53: 513 494.476.460 446 43 19.407 386 376.366 357 28 TABLES OF INSTRUMENTAL~CONSTANTSAND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 3o3~ Argument: Zenith Distance South. the Correction has the same sign as the Constant; between 315~ and o~ it has the opposite sign. 55~ 54~ 53~ 82~ Sl~ SO' 79~ 75~ 77~ 76~ 75~ 74~ 73~ 72~ S. S. S. S. S. S. S. S. S. S. S. S. S S. S. o.2I 0.302 o.296 0.290 o.286 o.27( 0.27 0.269.265 0.260 o.256 0.250 o.247 o.243 0.239.22.317.31o.304.299.29i.28.282.277.273.268.262.259.254.25o.23.331.324.317.313.3o~.30.294.290.285.280.274.27r.266.261 24.346.338.33I.326.3IC.3I.307.302.298.292.286.282.277.273 25.360.352.345.340.33:.32.320.3r5.3Io.305.298.294.289.284 71 70~ 69~ 65~ 67~ 66~ 65~ $4~ 63~ 62~ 61~ 60~ 59~ 55~ O 2I 0.23 0.229 0.22'6 0.223 O.219 O.215 O.212.208 0.205 O.2OI O.198 O.195 O.192 O.188 22.24.240.237.233.229.225.222.218.215.211.20$.204.2OI.197 23.25 25r.248.244.240.236 232.228.224.221.217.213.2IO.206 24.26 262.259.254.250.246 242.238.234.230.227.223.2I9.2I~ 25.27 273.269.265.260.256 252.248.244.240.236.232.228.224 56 54~ 52~ 45~ 46~, 4~:2~ 40~ 38~ 36 34~ 32~ 30~ O.2I O.182 O. I76 O.170 O.15f O. I52 O 146 141 O.I35 O.129 O.I: O.118 O.112 O.106.22.I9I.I84.178.16,.159 153 I48.14I.136.I:.I23.II7.III 23 200.193.186.I7i.I66 I60 I54.148.I42.I~.129.123.I17 24 208.20I.191.18{.174 I67 161.I54.I,18.I~.135.128.122 ~ 25.217.209.2o2.I8t.181 174 168.161.154.11.140.I34.127 20~ 15~ 7~ 6~ 5~ 14~ 12~ 11~ IO~ o.o7{ 13 0.07o o o66 063 059 0.056 o.o 0.049 o.045 0.042.o8(.o73 o60 066 062 059.o~.o51.048.08'.076 o72 069 065 o61.o~.054.050.08:.079 o72 068 064.o~.056.052.o9(.083 075 o71 067.o~.058.054 5~ 4~ ~~ l~ ~~ 35~ 358~ 357~ 0.02: O.O18 O 009 OO5 O O00 O.OC 0.009 O.O14 O ~ O2~ 019 OtO 0O5 000. OC ~O 014. O2~ 020 0I O 005 O00. OC 3IO 0I 5.O2~ 020 0IO 006 OOO.O0 3IO O16.O2i O21 0~1 OO5 OOO.O0 )11 28~ 26~ 24' o.21 o. Ior o.o95 0.088.22.lO5.099.093 044.23.11o.lO4.097 046 24 I15.IO8.IO1.o76. 048 25 12o.I13.lo5.079 050 9~ S~ 7~ 3~, 56~ o..2t 0.038 0.034 0.030.o14 o. 020 22.o4o.036.o32.o14 { ~ o21 23 042.o37.033.o15 (, 022 24 043.039.035 030.oi6 ( 023 25 o16 045.o41.036 o3I.o16., ( o24 355~ 354~ 353~ 352~ 51 349~ 348G [7~ [6~ 345 344~ 343~ 34 ~ 21 0.025 O.O3I O.O37 O.O43 O4q O.O62 O.O69 O76 O84 O.O9: O.101 O.IO9 O.1 22 027.032.039.045 O51.065.O72 oSo 088.o91.lO5.115.1 23 028.034.040.047 o54.068.076 o84 092.Io.IiO.12o.I 24 029.035.042.o49 osf.o7I.079 087 096.lO,.115.125.1 25 030.037.044.o5I o5~.074.082 o91 lOO.1Ii.'12o.13o.1 3<81~ 340~ 339~ 338~ g7 335~ 334~ 13~ 12~ 331 330~ 329~ 3a o 21 o. I28 o. I39 o. I5o o. I62 I74 0.202 o.217 233 251 o.27: 0.292 o.315 0.3 22 135.146.157.169 18:.211.228 244 263.28..306.33o.3 23 14I.152.164.177 19I.22I.237 255 275.291.32o.345.3 24 747.I59.17r.185 19c.23I.248 266 287.3It.334.36o 25.~ 153.I66.179.192 2o~.240.259 277 299.32:.348.375 ~ 327~ 326~ 325~ 324~ ~ 32 I' 32 320~ 319~ 315~ 316~ 315~ 3~ ~ 2i 31~ 0.368 0.399 0.434 o.47I 0.5;,, 0.6 0.700 0.785 0.887 I.oi I.I79 1.395 1.7 22 385.418.455.494.5;.61.734.822 0.930 1.o6; 1.235 1.462 1.7 23 403.437.476.517.5;.6,.767.86e 0.972 I.IIi 1.29I ~.528 1.8 24 420.456.4~6.539.5;.8oo.897 1.o14 1.16( 1.347 1.595 1.96o 25 iJ 438.475.5:7.561.6; ~.834.935 1.o56 1.2of 1.4o3 1.66i 2.o4I 302~ ~)1~;Of~~ 299~ ~ 29'' 29, 295~ 294~ 293~ 292 291~ 294 289~ O.21 1.483.310.1'6 1.O68 0.9:, 0.8. 0.792 0.746 0.706 0.67( 0.638 0.60 0.583.22 1.554.373.2;2 1.I19 1.O' 4 O.8:.830.782.739.7~:.668.63.61 ~ 23 1.624.435.2i8 1.170 1.O:, O.9:.868.8r7.773.73:.698.66:63, ~ 24 1.695.497.3~4 1.22I I.I: O.94.906.853.806.76~.729.69.664.25 1.766.560.4{O 1.272 I.I;, 1.O,.943.888.840.79;.759.72.69.. 258~ "~7~ 15~;~ 255~ ~ 25 ~ 251 251~ 2~O~ 279~ 278~ 277~ 27! 271 ~ o.21 0.560 ~'538.5~ 9 o,500 0.4; ~ o.41 0.440 0.428 o.416 o.405 o.394 o.38 o.371.22 587.563.5~3 524 5,.4' 46r.448.436.424.413.40.39:.23 614.589.5{8 547 5 ~.4t 482.468.455.443.432.42.41 ~ 24 640.615.5(3 57I ~: 503.488.475.463.451.43.4m 25'~i 667.64I.6:7 595 524.509.495.482.47o.45.441 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 29 VALUES OF THE AZIMUTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 303~ Argument: Zenith Distance South. the Correction has the same sign as the Constant; between 315~ and o~ it has the opposite sign. 85o 84~ 85~ $2~ 81~ 80~ 19~ g8~ 71~ gO~ g5~ g5~ 73~ g2~ I s. s. s. s. s. s. s. s. o 6 [ 0.374 0.367 0.359 0.354 0.346 0.340 0.333 0.328 0.322 o.317 o.31o 0.307 o.3or 0.296 27 /.381.373.367.359.353.346.340.335.329.322.318.312.307 28.403.395.386.38r.372.366.358.353.347.34r.334.329.324.318 29.418.409.400.394.386,380.371.365.360.353.346.341.335.330 30'389.430.422.415.407.399.392'384.378.372.365.358,353.347.341 71~ 70~ 69~ 68~ 67~ 66~ 65~ 65~ 63~ 62~ 61~ 60~ 59~ i8~ 0.26 0.200 0.284 0.279 0.275 o.271 0.267 0.263 0.258 0.254 0.249 0.245 o.24r 0.237 o 233.27.3or.295.29i.286.28I.277.273.265.264.259.255.25I.246 242.28.313.306.302.2q7.292.287.283.278.273.269.264.260.25fi 251.29.324.317.312.387.302.297.293.288.283.278.274.269.265 260 ~ 3~.335.328.323.318.312.308.303.298.293.288.283.278.274 269 56~ 54~ 52~ 50~ 48~ 46~ 45~ 42~ 40~ 38~ 36~ 35~ 32~ ~O~ o.26 0.226 o.218 o.21o 0.203 o.196 o. T88 o.281 o.174 o. I67 o.16o o.153 o.146 o.139 o 132 ~ 27.234.226.218.2It.203.195.I88.181.174.166.I59.I51.I44.28.I3';.243.235.226.218.2II 203.~95.I88.18o.I72.I65.I57.I5O.I4: ~ 29.252.243.235.226.218 21o.~o2.195.]86.I79.I7O.163.I55 30.14'~.260.25r.243.234.226 217.209.2Ol.1'93.I85.176.168.16o.I5:28~ 26~ 25~ 22~ ~O~ ~~ 1I~ 16~.5~ 15~ 12~ 11~ 10~ 0.26 13} o. I24 o.117 O.lO0 O.lO2 0.094 e 086 o.082 0.078 074 o.069 0.06 o.o6I 0.056 0.05:'.129.122.II4.106.098 089.085.o81 076.072.o6i.063.058.o511 ~ 134.226.I28.110.IO1 093.o88.084 079.075.07(.066.06o.056.139.I31.122.114,105 096.O91.087 082.077.07:.068.O63.058.144.135.126.118.109 099.094.090 085.080.O71.070.O65.O60 9o 80 7o Oo 5o $o 3o 2o 1~ O~ 359 358~ 35g~ 35;6;~ 0.047 0.042 0.037 O.033 0.027 022 O.O17 O.O21 006 O.OOO O.OO( O.OII O.O17 O.O2q.049.o44.039.034.028 023.oi8.o12.ooo.oo(.o12.o18.o2~i.o5r 046.040.035 029 024.oi8.oi2.ooo.oo(.o12.oi8.o27.052 o47.042.036 030 025.o19.oI3.ooo.oo'.o13.o19.028 ~ 054 049.043.038 o31 026.02o.o13.ooo.oo;.Ol3.020.029 355~ $,5~~ 353~ 352~ 351~ 50~ 349~ 358~ 356; 345 3~5~ 353~ 352~ o.o31 0.038 0.046 0.053 o.o61 069 0.077 0.086 o.io4 o.1I~ o.124 o.135 o.147 ~ 033 040.047.o~5 o71.080.089.lO8.xxt.129.141.153 ~ 034 o41.o49.o57 o74'083.092.112.12'.134.146.i58 ~ o35 043.o51.o59 077.o86.o95.116.12:.139.151.164.036 044.052.o61 079.o89.o99.12o.I31.144.156.17o 341~ 3,10~ 339~ 33S0 ~ 3 ~6~ 335~ 335~ 332~ 330~ 329~ 32~~ o.159 331 o.172 o.186 0.2o0 o o 232 0.250 0.269 o.3ro o.33. o.36r 0.39~ o.a2I.165 179.193.208 241 259.279.322.34t.375.405 i37.171 185.2o0 226 250 269.289.334.36:.389.420 54 ~ 177 192.207 223 24~ 259.279!.299.346.37~.403.435.184 ~7o 199.214 231 249 268.288 i.31o.358.381.417.45o 86 ~ 32?~ 3~6~ 325~ 325~ 3~3~ 322~ 320~ 319~ 318~ 311 316~ 315~ 03~ 0.455 0.494 0.537 o.~84 0.642 0.706 0.867 0.972 1.o99 1.251 1.459 1.728 123 ~ 473 513.558.6o6.667.733 0.9o0 1.oo9 I.I41 1.3o! 1.516 1.794 204 ~ 49~ 532.579.629 69r.759 0.934 I.o46 I.I83 1.35~ 1.572 1.86I 286.5o8 551.6oo.651 716.787 0.967 i.o84 1.226 1.4o: 1.628 1.927 368.526 570.620.676.741.805 ~.ooo 1.121 1.268 1.45{ 1.684 1.994 449 302~ ~O1~ )O~,,,,~ 29S~ ~9,~ 295~ 294~ 293~ ~92~ 291~ 2~ ~ 1.836 f9504 1.622 456 1.214 1.124 o.981 0.924 0.874 0.829 o.789 0.7 1.9o7 1.685 5r2 1.26r 1.167 1.Ol9 0.959 0.907.86~.820 2783 1.978 ~.~, 1.747 568 1.3o8 1.22o i.o56 0.994 o.94r.893.850.8~2 ~ 2.o48 1.8o9 624 1.354 1.253 1.o94 1.o3o 0.974.925.880.84I 28~ 2.119 1.872 650 6 1.4Ol 1.297 i.i32 1.o66 1.oo8.956.9~.870.8 288~ 2Sg~ ~6~ I~;o 285~ ~83o 281~. 280~ 299~ 298~ 21~~ 296 ~ ~ 0.693 0.666 642 0.598 0.580 0.545 0.529 o.515 o.5ol 0.488 o.476 o.4 720 692 667.621 602.566.550.535.520.507.~e4.~ ~ 747 717 691.644 624.587.570.554.5~9.526.512,~:i' 774 743 726.667 647.608.59~.574.559.545.53I 800 769 741 5.690 669.629.61I.594.578.563.549.5' 30 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE AZIMUTH CORRECTION, Aa. Between 00 and 850 and between 2750 and 3030 Argument: Zenith Distance South. the Correction has the same sign as the Constant; Li between 3150 and o' it has the opposite sign. 1~20 )7,20'45" 30 Y2 S50 SI04 0 S3 0 SFO SO0 790 750 770 760 750, 740 730 72 S. S. S. 5. 5. 5. 5. S. 5. 5. 5. 5. S. 5. S. 0.31 0.446 0.437 0.428 0.422 0.4I2 0.406 0.397 0.39I 0.384 0.378 0.370 0.365 0.358 0.353.32.46i.451.442.435.426.419.4I0.403.397.390.382.377.369.364.33.475.465.455.449.439.432.422.416.409.402.394.388.381.375.34.490.479.469.462.4,2.445.435.428.422.4I4.406.400.393.387.35.504.494.483.476.466.458.448.44I.434.427.418.412.404.398 710 790 690 6S0 670 660 650 610 630 620 610 600 590 550 0.31 0.346 0.339 0.334 0.329 0.323 0.317 0.3I3 0.307 0.302 0.297 0.293 0.288 0.283 0.278.32.357.350.344.339.333.327.323.317.312.307.302.297.292.287.33.368.36].355.350.344.338.333.327.322.316.3I2.306.301.296.34.379.372.366..360.354.348.343.337.332.326.321.316.310.305.35.391.383.377.37I.365.359.354.347.342.336.330.325.320.314 560 540 520 590 4S0 460 440 420 490 3S0 360 340 320 300 0.31 0.269 0.260 0.25I 0.242 0.233 0.224 0.2i6 0.208 0.199 0.191 0.182 0.174 o.i66 0.157.32.278.268.259.250.241.232.223.215.206.197.i88.18o I7I.162.33.286.277.267.257.248.239.230.221.212.203.194.i85.176.167.34.295.285.275.265.256.246.237.228.219.209.200.191.182.172.35.304.293.283.273.263.253.244.235.225.216.206.i96.187.177 250 260 2 4 220 200 ISO 170 160 150 140 130 120 110 190 0.31 0.148 0.1 40 0 131 0.121 0.112 0.103 0.098 0.093 o.o88 0.083 0.078 0.072 o.o66 0.062.32.153.144.135.125.ii6.i06.IoI.096.091.085.080.075.069.064.33.158.149.139.129.II9 I.109.104.099.093.o88.083.077.07I.o66.34.163.I53.143.133.123.112.IO7.102.096.091.o85.080.073.o68.35.i68.158.47.137.127.ii6.1IO.105.099.093.o88.082.076.070 90 0 ~~70 c 90 8O 6 0" G" 50 40 30 20 10 00 3590 35S0 3570 3560 0.31 0.056 0.050 0.045 0.039 0.033 0.026 0.020 0.014 0.007 0.000 0.007 0.014 0.020 0.030.32.058.052.046.040.034.027.021.oI4.007.000.007.014.02I.C31.33.o6o.054.048.041.035.028.021.015.008.000.008.oI5.021.031.34.062.055.049.043.036.029.022.oI5.008.000.008.015.022.032.35.063.057.050.044.037.030.023.oI5.oo8.000.oo8.015.023.033 3550 3540 3530 3520 3510 3590 3490 34S0 3470 346" 3450 3440 3430 3420 0.31 0.038 0.046 0.054 o.o63 0.072 0.082 0.091 0.I2 0113 0.124 0.136 0.148 0.162 0.175.32.039.047.o56.065.075.084.094.105.ii6.128.T140.153.167.181.33.040.049.058.067.077.087.097.109.120.132.145.I58.172.1i86.34.04I.050.060.069.079.090.IOO.112.124.136.149.163.177.192.35.042.051.o6i.07I.082.092.IO3.115.127.140.154.i68.182.198 3410 3490 3390 33S0 3370 3360 3350 3340 3330 3320 3310 3390 3290 3280 0.31 0.190 0.205 0.221 0.239 0.257 0.276 0.298 0.320 0.344 0.370 0.400 0.431 0.464 G.502.32.196.212.228.246.266.285.307.330.355.382.4I3.445.479.518.33.202.218.236.254.274.294.3I7.341.366.394.426.459.494.535.34.208.225.243.262.282.303.327.351.377.406.439.472.509.551.35.214.232.250.270.290.312.336.361.388.418.452.486.524.567 3270 3260 3250 3240 3230 3220 3210 3200 3190 3180 3170 3160 3150 3030 0.31 0.543 0.589 0.641 0.696 0.765 0.841 0.930 I.034 1.158 1.310 I.499 I740 2.060 2 531.32.56o.6o8.66i.7I9.790.868 0.960 1i067 1.i96 I.352 I.547 I.796 2.126 2.612.33.578.627.682.741.8i5.895 0.990 1.101 1.233 I.395 1.595 1.852 2.I93 2.694.34.595.646.703.764.840.922 I.020 I1134 1.271 1.437 1.644 1.909 2.259 2.776.35.613.665.723.789.864.950 1.050 1.167 1.308 2.479 1.692 1.964 2.326 2.857 3020 3010 3000 2990 2980 2970 2960 2950 2940 2930 2920 2910 299b0 2890 0.31 2.190g 1.934 1.736 1.577 1.448 1.340 1.248 1.170 1.101 1.042 0. 988 0, 941 0 899 o.86i.32 2.260 1.996 1.792 1.628 1.494 1.383 1.288 1.207 1.137 1.075 1.020 0 971 0 928.889.33 2.331 2.0.59 1.848 1.679 1.541 1.426 1.328 1.245 1.172 1.109 1.052 1.002 0 957 F.917.34 2.401 2.121 1.904 1.720'.588 1.469 1.369 1.283 1.208 1.142 1.084 1.032 0 986.4.35 2.472 2.184 1.9r60 1.781 1.634 1.513 1.409 1.~320 1.244 1.176 i.ii6 1.063 1.015.972 2880 2870 2860O 2850 2840 2830 2820 2810 289(0 27090 27e80 277~40 27~a60 27a50 0.31 0.827 0.794 0.765 0.738 0.713 0 691 0 670 0.650 0.631 0.614 0.597 0.582 0.567 0.554.32.853.820.790.762.736.714.691.671.652.634.617 6o.586.572.33.88o.845.815.786.759.736 i. 713.692.672.653.636.619.~604.589.34.907.871.840.809.782.758. 734. 713.692.673.655.638.622.607.35.934.897.864.834.8o5.780 *.756 I.734.713.693.674.657.640.625 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 3 VALUES OF THE AZIMUTtt CORRECTION, ~a. Between o~ and 85~ and between 275~ and 303~ Argument' Zenith Distance South. the Correction has the same sign as the Constant; between 315~ and o~ it has the opposite sign. S5 ~4~ S2~ S?9~ gS~ s. s. s. s. s. s. s s. s. s. s. s. I s. 0.36 o. SI8 o.~o8 0.497 0.49~,o.479 o.47I o.46I 0.454 0.446 0.439 0.429 0.409 ~ 37 ~533 22.51i [.5o3.492.485.474.466.459 ~45I.44I 42o ~ 38.547 36.524 /'517.5o5.498.486.479.471.463.453 431 ~ 39.562 50.538 ].530.519.511.499.49~.48-[.475.465 443 ~ 40.576 64.553 /'543.532.524.51~.504.496.487.477 454 ~1~ ~O~ 69~~ 68~ 66~ 65~ 6~~ 65~ 69~ 61~ 55~ 0.36 0.402 0.395 0.388.. 2 0.375 0.369 0.364 0.357 o.351 0.345 o.34o 0.323 37 ~i~.4r3.406.399 39z.385.379.374.367.36I.355.349.332 ~ 3S.424.417.41o ~o3.395.39o.384.377.37~.364.359.34r ~ 39.435.428.42I ~I3.406.40o.394.387.38~ ~374.368.35o ~ 40.446.439.432 ~24.416.41o.404.397.39~.384.378.359 0.36 o.312 0.302 o.291 281 o.271 o.261 o.25i 0.242 o.231 0.222 o.2!~ o.182 ~ 37.321.3io.299 289.278.268.258.248.238.228.218.188 ~ 38.330.318.3o7 296.286.275.265.255.244.234.223.193 ~.39.338 ~327.316 304.293.282.272.262.25I.240.229.198 ~ 40.347.335.324 312.3oi.290.279.268.257.246.235.2o3 9S~ ~i~ ~4~ 22~ ~O~ 1S~ 1~~ 16~ 15~ 1~~ 13~ 19~ 11 10~ 0.36 o.172 o. 62 o.152 o.i41 o.13o o.119 o. I13 O.lC8 O.lO2 o.096 0.o9o ).o84 0207 0.072 ~ 37.177. 67.156 145.I34.122.116.IIi.IO5.093.o93.o87.o8.074 ~ 38.I82. 71.16o.138.126.rl9.lI4.lO8.lOi.095.089.08.076 ~ 39.187. 76.~64.141.129.123.I17.iio.lO4.098.o9r.o8.078.4~.192. 80.168.145.132.126.120.113.lO7.lOO.o94.o8.oSo 9~ S~ 7~ 5~ 4~ 3~ 2~ 1~ 0~ 359~ 155~ ~ 35 356~ 0.35 0.065 0.059 o.o52 0.038 o.o31 o.o23 o.o16 0.008 o.ooo o.oo8 ).o16 0.02 o.o34 ~ 37.067.060.053.039.o31.024.o16.oo$.ooo.oo8.or6.02 o35 ~ 38.o69.062.055.o4o.032.o25.or7.oo9.ooo.oo9.or7.o2 036 ~ 39.o7~.064.056'.o41.o33.o25.oi7.o09.ooo.0o9.o17'.02 o37 ~ 4o.072.o65.058.o42.034.026.oi8 ~.oo9.ooo.0o9.oi8.02 038 355~ 353~ 351~ 350~ 349~ 345~ 34~~ 346~ 345~ ~4~~ 343 19~ 0.044 0.063 0.084 0.095 o. Io6 o.118 o.13I o. I44 o.158 ).I72 o.188 203.o45.o65.086 ~098.IO9.122.135.I48.I62.177.193 209.046.067.089.lOO.112.125.138.152.167.182.198 215 ~ 047.068.o9I.lO3.115.128.142.156.171.187.203 22o ~.o48.o7o.093.lO6.I18.I32.146.160.176.192.208 226 341~ 339~ 33~< 336~ 335~' 334~ 333~ 332~ 331~ 130~ 3~9~ ~~~ O 0.220 0.257 O.299 o.321 O 346 o.372 o.4oo O.429 0.464 o 5oo O. 39 583 37.226.264.307.330 356.382 411.44I.477 514 ~ 54 599 38.232.27I.315 339 365.392 422.453.49~ 528 69 616 39.239.278.324 348 375.402 433.465.503 542 84 632 40.245.286.332 357 384.413 444.477.516 556.599 648 320~ 31~~ ~3~ 1.2oi 1.74o 939 1.234 1.789 o2r 1.267 1.837 lO2 1.3Ol 1~885 I84 1.334 327~ 325~ 32~~ 3~3~;~~ 3~1~ 319~ 81S~ 315~ o 36 0.630 0,744 o.8~2 o.889.977 t.o8o' 1.345 I 521 2.392 37.648 765.834.9~3.oo4 1.1Io 1.383 I 564 2.459 38.665 786.857.939.o3r t.~4o 1.42o i 606 2.525 39.683 806.879 963.o58 ~.17o 1.457 1.648 2.592 40 266.7or 827.9o2 988.o86 1.2o0 1,495 1.69o ~.934 2.658 309~ 300~ ~99~ ~9~~ ~9~~ ~96~ ~95~ ~94~ ~93~ ~99~ ~90~ 189: o 36 2.543 2 o~6 1.832 1.681.556 1.449 1.358 ~.279 ~. 1.I47 1.o44.ooo 37 2.6~3 2.3o ~72 1.883 1.728.599 1.489 ~.396 1.315 1. 1.179 I.o73.027 38 2.684 2.37 128 1.933 I 775.642 1.53o 434 1.35o 1. 1.21i 1.1o2.%5 39 2.755 2.43 184 1.984 i 82I.686 1.57o 47I 1.386 1. 1.244 1.132.083 4~ 2.825 2.49 240 2.o35 i 868.729 x.6Io 509 1.42I ~. 1.275 1.16o.111 ~SS~ ~S~ ~6~ 955~ 9~4~ ~83~ ~89~ Sl~ ~SO~ ~? ~S~ ~~ ~6~ ~5: 0.36 0.960 0.92 889 0.857 0.829.803 0.778 755 0.732 o. o.693 o.676 o.659.642 ~ 37 0.986 o.94 9~4.88r.852 -799 776 753 ~.7~3.695.677.fi6o 38.82~ 0'97 938.905.875 84i.82I 797 774.732.713.695.678 39 ~. ) ~.o39 1.oo 963 929.898 87(.842 818?93 75~.732.7~4.696 ~ 40 I.o66 ~.o2 988.957.92o 892.864 840 814 771.75I.732.7~4 I 1'~I3 32 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUE OF THtE AZIM-UTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 303~ Argument: Zenith Distance South. the Correction has the same sign as the Constant~ between 3I5~ and o~ it has the opposite sign. 850 S40 Sgo ~20 Slo SO" 790 o S 70 70 70 7" 13 2 S.~ ~ ~~~g S.o S.o S.o S.~ S. SS. S. S.S S. S. S. S. S. S. o0.'40 0 78 0.566 54o.'5.550 0 3 7 48 0.482 0~~~ ~ ~~~~ ~ ~ ~~~~~~~~.41057 0 0.545 08570 1 0.500 0.479o42 0.47o;66 ~ 42 ~ 65 592.580 57 559 ~ 50.538.5-29. 52I.512.5o0.494.485.476 ~ 43. 60g.66.593.8 572 563.550.54-2. 533) 5 24, -53.5o6.497.8 ~ 44.63 620 ~ 607 59 585.76.56 554.545.536 52 is 50 00 ~ 45 ~~~~~.6'34.62I 562 98.89 1 576.567 ~ 558 549.537.529' 520 171 ~ 0 69 0 s 7o 660 650 64' 6g~ 62~ 61~ O0~ 590 5so 0.41 0.458 0.450 0.442 0'~5 0.2 0.420 0.414 0.407 0.400 0.393 0.387 0.38o 0o.374 0 368 ~ 42.469 r46.453 45 437.430. 424.417.410.403 ~ 396.390 ~ 383.377.43'48 ~ 472.464 456.448. 4I 434.426.420.1 46 -9 33.8 ~ 44.491.83. 475 466.458 -5r. 444.43 6.429.422.415 -0 42.9 ~ 45 ~ 52 494.486.477.68. 46i.454.446.439 4225 41.1 40 5$ 540 520 0 45o 460 440 420 400 ~ s 6 4 2 0 0.41 035 0.344 0.332 032 0.308 0.297 0.286 0.275 0.264 0.253 0.241.3.I.0 [42 6.352.340. 32 3616.304.293.282.270.259.247 26 24 2I [3. 3~~~~~6o.348.33 323. 3II.300.289.276.265.253. 2 4.230 144.382 69.356.3-3r. 3319 3.307.295.283.271 ~ 259 ~ 247.235.2 1 45 39.377 ~364 35 338.326 -314.302.289.277 26 2~~ 260 240 ~ 2 20~ Is~ 1'7 16~ [5~) 14 ~ lg 120 11~ [00 0.41 o196 0.I8t 0.I73 o.i6r 0.148 0.136 OI 012 o.ii o.Tq Oi2l o6 009 0.082 O.I26 O. I9 0.03 0.09t 0.089 0.42.201.189. I77 i65.152.139.132 ~ 1269. I19.112.O5. 9. 9 1 08,4 43.2o6.194.181 i69. i56. 142 JI5,2 I 2. I os.Io:.093 o86.44. 21.- I5 I72 1I9.46. I39.132. 124.117. i I 3.9 8 45.216.203.189 I 7 6 I 9.4 I35.2 12o.13.1o5.09709 90 ~o 0oO o 4 go ~o lo 0 0.41 0.074 0 o9o.o67 o04 oo3 0.027 o.o18 0.009 o.ooo 0.009 o.oI8 0.029 0039.42o 76 o68.060.052.044.036.027.oI8.oIo.oo0 oI..oi8.029 o 040 ~43.078.0710. 062.054.045.037 -4.02. 19.oo.ooo.oo.or9.3 4.44 0 80.072. 063.055.046 ~ 037.029.~1 9,OlO.oo oo.I or 042 ~ 45 o~~~~~~~~~~~~~~i ~ ~ ~020.065.056 o0 4.020.o2 ~~~~~~~~~~~~~~~~~~~.o20.o8io.03 o65oo6.047.03o.0329 3 043 3550 3540 353o 352o 3510 350 4g90 34o 3470 3460 g~50 3440 343o 342o O.41 0.050 0.060 0.072 0.08 4 0:.095I Ol80 D.1I2I o. I35 o.I49 O.6.18o 0.9.214 0.232 ~ 2. o.0I ~074.084 o.i409.11. 2. 38. 3: 1 8.1 97 I 5" ~~~~~.201.219.237 ~ 42.05 o2.63074 0 88.0lOOI.124.138. 568.184 43.052 o63.075 -.088 A00.11,.127 -14I.156..172..I89.2o6.224.243 1.44.053 o6,.077.090.102 ii6 130.145.160 1.I76.193.21I ~ 229.249 ~ ~45.054 o66.079.092.IO5. 1~9 133.148. i64.18o0.98.i 24.5 i 0~~.528 6 o.24 ~2564 o.41 0.251 o.27I 0~293 0.36 0.340 0.366 0.3a.2.55 0~489 0.527 640. 6.42.257.2-7S8 30.2.349.375 40 33 46 -5I4I 58.629.680, ~ 3.263.287 779 644.67 ~ 269.36 65392.423.298~~~~~~ 3748 992.674.729.275 ~~~~~~~~~ ~~~.34 0.4232 - -9 0.537 ~~~~~~.4oo.32I ~ 4 0.34 3.5l.4015 0.1 0.71 0~779 0.847 0.924 1.o12. I-T3'I.23o I.367 I.532 1,733 I.982 2.3oI 2~724 334 ~ 42.735.798.868 0.947 I.o37. 1I4o I.26o 1.401 1.570 1.775 2.030 2.357 2.79I 342.4 753. 8I7.889 0.969 i.o62 i.i67 1.290 1.434 i.6o7 1.817 2.079 2.4I4 2.857.-5~I ~ 44 770 ~ 836.91o 0.092 i.o86:.I94 1.320 1.467 r.644 I.859 217 40 294 352 I.501 i.82 1.902 2.175 2.526 2.990.4 788.855.93o 1.o15 I.III I.212 I.35o1ol. 62. 92.75. 2.90 3.674 3020 301~ 3000~ 99~ 29S~ 2~970 2960 2950 2940 29g~ 292~ 2910 290, 2~90 TABLE OF INSTRUMENTALCONSTANTSAND CORRECTIONS. 33 VALUES OF THE AZIMUTH CORRECTION, Aa. Between o~ and 85~ and between 275~ and 3o3~ Argument' Zenith Distance South. the Correction has the same sign as the Constant; between 315~ and o~ it has the opposite sign. S. S S. S, S S. S. S. S. S. S. S. S. S. 0.46 o.662 0.649 635 0.624 o.614 0,602 0.589 0.580 0.570 o.56r 0.548 o.541 0.532 0.523 47 677.663 649.637 627.615.602.592.583.573.560.553.543 [.534 48 691.677 662.65I 641.629.6~4.605.595.586.572.565.555.546 49.706 676.664 654.642.627.617.608.598.584.577.567 I.557 50.718 691.678 666.654.640.630.620.608.598.588.578,.o I.568 0.46 o6 7 o.5r4 496 0.488 9 o.47~ 0.465 0.456 o.449.44I.434 0.427 o.42o o.413 47 i.525 507.498.489.48].475.466.459.451.444.436 429 [.422.48.536 5~8.509.5oo.49:.485.476.468.460.453.445 438 [.43~ ~ 49.547 529.5I9.51o.50:.495.486.478.47o.463.455 447 ].439'.5o.558 540.530.520.5~:.505.496.488.480.472.464 456 t.448 56~ $4~ 52~ 50~ 48~ 46~ 44~ 42~ 40~ 380 36~ 34< 30~ 0.46 0.399 0.385 o.372 0.359 0.346 o.33: o.32[ o.309 0.296 0.2'83 0.270 o.25 0.233 47.408.394.38o.367.353.34(.328.3r5.302.29o.276.26.238.,18.417.402.38,8.374.361.34t.335.322.309.296.282.26.243 49.425.411,396.382.368.35!.342.329.315.3o2.288.~7,248 50.43[.419.4o4.39~.377.36:.349.336.322.308.294.28.254 28~ 26~ 24~ 22~ 20~ 18~ IV~ 16~ 15~ 14~ 12 IO~ 0.46 ~13~ 0.220 0.207 o.194 o.18o o. I66 o.15: o. I45 o.138 o.13o o.123.115 O. lO 0.092 ~ 47.225.212.198.184 70.15{.148.141.I33.~25.118.i1.094 48.230.216.202.188 74.1~{.151.144.136.128.12o.11.o96 49.235.221.206.192 77.16i.154.147.139.131.123.II.098 5o.24~.226.21o.196 81.16t.I58.15o.142.]34.126.11.lOO 9~ 8~ 7~ 6~ 5~ 4~ 3~ 2~ 1~ O~ 359~ 358 356~ 0.46 o.o83 o.o75 0.o66 0.058 0.048 0.o39 0.030 0.020 O.OlI o.ooo o.oI1 0.02 o.044 ~ 47.085.077.068.o~9.049.040.o31.o2I.Oll ooo.oI1.02 045 48.087.078.069.o6o.050.o41.o31.o2I.Oli ooo.Oll.o2I 046 ~ 49.089.080.o7I.o6r.o51.042.032.022.Oli ooo Oli 022 047 50:090.o82.072.062.052.043.033.022.Oll ooo oi1 022 048 355~ 354~ 353~ 352~ 351~ 350~ 349~ 348~ 34~~ 346~ t5~ t4~ ~;42 0.46 0.056 0.068 0.080 0.094 O.lO7 o.12i o.i36 o.151 o.167 o.i84 202 220 0.26( 47.057.069.082.o96.lO9.124.139.155.171.188 2o6 225.26{.48.058.o71.084.098.ii2.i27.142.158.175.192 211 23o.271 49.059.072.086.ioo.114.I29.145.~61.T78.I96 2I~ 235.27~ 5o.o6o.o74.o88.io2.116.132.148.164.i82.2oo 22o 240.28: 341~ 340~' 339~ 338~ 337~ 336~ 335 334~ 333~ 332~ BI~ ~0~ o.46 ~;28 0.282 o.3o4 o.328 o.354 0.382 o.4Io o.44 o.475 o.5~1 o.549 593 639 o.74. 47.288.311.336.362.39~.419.45.485.522.56r 606 653.761 48.294.318.343.370.398.428.46.495.533.573 619 667.77f ~ 49.3oo.324.350..377.407.437.47.506.544.585.632 68r.79: 50.3o6.331.357.385.415.446.48.517.555.597.645 695.81( 32~~ 326~ 325~ 324~ 323~ 322~ 321 320~ 319;1 ~ 31~~ 3[6~ 3;03 o.46 o.8o5 o.874 o.952 1.o4o 1.136 1.249 1.38 1.534 1.7t 2.224 2.582 ~ 47.823.893 0.973 ~.o6o 1.i6o 1.276 1.4I 1.567 1.75 i ~.75~ 6 2.272 2 638.83; 48.84o.9~2 0,993 I.o82 ~.~85 ~.3o2 ~.44 ~.6ot 1.79. 8 2.320 2 694 ~ 49.858.931 1.oi3 1.~o5 t.2io 1.33o 1.47 1.634 1.83. t 2.369 2 750.eoi ~.9~(.50.876.950 1.o34 1.128 1.234 1.358 1.5o ~.668 1.86 ~ 3 2.4~7 2 806 4.08: 302~ 301~ 300~ 299~ 29S~ 29~~ 296~ 295~ 294 ~ ~{;2~ 291 289~ o.46 2 870 2.576 2.340 2.148 1.988 1.852 1.736 1.63 ~ 5 467 1.391 1.277 47 ~ 249 498 320 2 932 {332 2.391 2.~95 2.o31 1.892 1.778 1.67 i 1'421 1'3~5 ~ ~ 48 2 995 {588 2.442 2.242 2.075 1.932 1.8~1 1.7o 520 ~.45~ 1.333 49 ~ 39~ 461 3 057'744 2 493 2.288 2.118 1.972 1.849 1.74. 6 562 1.481 1.36~ ~ 50 3 532 3 I2o 80o 2 544 2~335 2.161 2.o12 1.886 1.77. o 594 1.5II 1.388 288~ 28~~ 286~ 285~ 284~ 283~ 82~ 281~ 280 ~ ~' ~80 2~5~ 0.46 21~ 1.225 I.I7q 1.127 1.o95 1.o58 1.o26 994 0.965 0.93 ~ ~ 886 o.86 O.821 ~ 47 1.252 1.205 1.160 1.120 I.O8~ ~.O48 OI5 0.985 0.95 ~ ~ 906.882.839 ~ 48 1.280 1.231 1.185 1.143 1.~O4 1.O70 037 I.OO6 0.97. I 925.907 857 ~ 49 1.306 1.256 1.2IO I 167 1.127 1.O93 O58 1.O28 0.99. I 944.92{ 875 50 ~.333 1.282 1.234 I 191 1.150 I.~5 080 1.O48 ~.O1. 0 964.93! 893 72 A~. I -ABLE II. L E V E L TABLE OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 36 VALUES OF THE LEVEL CORRECTION, Bb. Between 315~ and 85~ the Correction has the same sign as the Constant' between 275~ and 303~ it has Argument' Zenith Distance South. the opposite sign. For reflection observations the sign is reversed. 85~ S&~ 83~ 82~ S1~ 80~ I9~ 7S~ 77~ 76~ 75~ 7~~ 73~ 72~ S. S. S. S. S. S. S. S. S. S. S. S. S. S. S. O.OI O.OOI O.OOI 0,002 0.002 0.002 0.002 O.~O2 0.003 0.003 0.003 0.003 0.003 0.004 0.004.O2.002.003.003 I.004.004.005.005 I.005 I.OO6.006.006 I.0O7.007.O07 ~ 03.004.005.005.006.006.007.007 ].oo8.009 I ].oo9.OlO.OlO.Oli.oII.o4.005.006.007.oo8.008.009.OlO.oIr.Oli.o12 [.o13.oi3.oi4.oi5.05.006.007.008.oo9.OlO.oi2.o,2.oi3 I.o~4.oi5.oi6.oi7.oi8.o18 I 71~ 70~ 69~ 6S~ 67~ 66~ 65~ 63~ 62~ 61~ 60~ 58~ o.o~ 0.004 0.004 o.oo4.oo4 o.oo4 o.oo5 o.oo5 o.oo5 0.005 0.005 0.005 0.005 0.006.o2 /.oo8.-oo8.oo8.oo9.oo9.009.009.olo ].OIO.0IO.OII.OII.OII ~ O3.Oil.O12.OI2.OI3.O13.OI4.OI4.O15 /.OI5.OI6.OI6.OI6.O17.04.O15.OI6.O16.OI7.OI8.O18.oI9.020.020.O2I.022.022.022 ~.05.Ol9.020.O2I.o2r.o22'023'o24'025.026.026.027.027,028 56~ / 54~ 5~~ 50~ 46~ 46~ 44~ 40~ 3~~ 36~ 34~ ~~ 30~ O.OI [ 0.006 0.006 0.006,.oo7 0.007 0.007 0.007 0.008 0.008 0.008 0.008 0.008 0.009.02.oi2.o12.oi3.o13.o14.oi4.o14.oI5 /.o16.oI6.o17.o17.o17.o3.o!8.o18.Ol9.020.020.o2r.o22.023 [.024.024.025.o26.o26.o4.023.024.o25.026.o27.028.029.o3r [.032.032.o33.034.o35.05.o29.030.032.033.034.035..036.038.039.040.o.12.043.044 2~~ / 26~ 2~~ ~2~ 20~ 13~ 1~~ 15~ 14~ 1$~ 12~ 11~ 10~ o.o~ [ o.oo9 o.oo9 o.oo9 ).oio O.OLO O.OLO O.OLO o.o1~ O.Olr o.o1~ o.ot~ o.o1~ o.o11.02.o18.oi8.oi9.oi9.020.020,o21.O21.O21.022.022.022.023 ~.03.027.028.028.029.030.o3I.o31.032.033.033.032 [.033.034.04.036.037.038.039.040.o4r.o4I.042.043.043 ~.044.045.045 ~ 05.045.046.047.048.050.o5I.052.054.055.056.056 9~ 8' ~o 6o 50 40 ~o Oo 359~ 3580 35~~ 5560 o.or O.Oli o.oi~ o.o12 ).oi2 o.oi2 o.or2 o12.753/.o53 o.oi3! o.oi3 o.oi3 o.oi3 o.oi3 o.~I4.02.o23.023.023.024.o24.024 025'025 /.026.026.026.027.027.03.034.035 ~.o35.036.036.037 037.038!.039.039.039.04o.o4I.04.046.046.047.047.048.o49 049.o5I ].052.052.053.054.055 ~ 05.o57.058.058.059.060.o61 o62.064 065 066.067.068.063 [ 355~ 354~ 353~ ~52o 351~ 350~ t9o 3~o | 340~ 345~ 344~ 34~ o.oI o.o14 o.o~4 o.oi4 ).o14 o.oi5 o.o15 or5 o.oi6! o.o16 o.o~6 o.oI7 o.o17 ooi7.02.027.028.028.029.029.030 o30.032 |.032.o33.033.034.035 ~ 03.o42.042.o43.044.044.045.048 [.048.o19.050.o5r.o~2.04.055.056.057.058.059.060 066 067.068.o7o.063 ~ ~ 064.05.069.070.o7r.072.074.075 080.082.084.085.087.079 [ 341~ 340~ 339~ 138~ 337~ 336~ 333~ / 332~ 3310 330~ 329~ 3~8~ O.OI O.O18 O.O18 O.O19 P.OI9 O 020 0.022 ] 0.022 0.023'0.024 0.025 0.026.02.036 036.037.038 040.044 [.045.046 048.050.052 ~ 03.054 055.056.Oq7 060.066 [ 068.070.072.075.078 ~ 04.O7I 073.075.O76 080.087!.090.093.096.IOO.IO4 ~ 05.089 O9r.093.095 1OO.IO9 [ IX2.I16.I20.125.I30,o o o a25o loo! o.o~ oaO o 0.027 o.o28 0.03o o.o3r o.o35 0.037 0.040 0.043 | 0.047 0.052 0.058 0.066 053.02.054.056.059.062.07o.074.o8c.oS6 /'094.lO4.117.~34 ~o7.03.o8r.085.089.093.Io4.~12.i2o.129 [.14r ~56 175 200 16o.04.~o8.II3.ii8.i24.I39.~49.i6~.~72 }.~S8 2o8.232.267.05 2i~.~35.~4~.I48.I55.t74.185.i95.235.269 29~ 332 26.215 / ~o 301o 300o ~99o ~97o ~96o ~95~ ~94o/ ~}go ~9~o ~91o ~90o ~~9o o.ot >44 0.037 0.032 0.028 0.022 0.020 o o18 o.oi6 o oi4 o.o~3 o.o12 O.Olt O.OLO.02 >89.o75.065.056 044.039 035.032 029.o26.023.o2i.oi9 ~ 03 I33.I13 ~97.085 066 059 053.047 043.039.035.032.029.04 ~77.~5o I3o.~I3.088.079 o7I.063 057.052.047.042.038.o5 221.i88 162.I41.iio.098 088.079 o71 064.058.o53.048 ~S~ ~187o ~6o ~85~ ~83~ ~S~~ ~SI~ ~SO~ ~9~ ~78~ ~77~ ~76~ ~75 o.o~ oo5 0.0o8 o 007 0.006 0.005 0.005 0.004 0,004 o 003 0.003 0.002 0.002 o.oo2.o2 oi~.oi~ o~5.oi3.oio.009.008.007 006.005.005.004.003 ~ o3 o2~.o2~ o2i.Ol9.oi5.o12.oi1 009.008.007.006.oo5.o4.oi~ o3~.o3i 028.o26 o2r.oi.oi6.oi~ oi2.Oil.oo9.oo8.oo6.o5 042.o3q 035.032 026.023.o2,~.oi8 oi6.o14 oi2.olo.008 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 37 VALUES OF THE LEVEL CORRECTION, Bb. Between 315~ and 85~ the Correction has the same sign as the Constant; between 275~ and 303~ it has Argument' Zenith Distance South. the opposite sign. For reflection observations the sign is reversed. ~5~ 84~ 85~ 82~ ~1~ ~O~ 79~ 78~ 77~ 76~ 75~ 74~ 73~ 72~........................................................................ s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. 0.06 o.oo8 0.009 O.OLO O.OlI O.Ol3 o.oi4 O.Ol5 o.o16 O.Ol7 o.oi8 O.Ol9 0.020 o.o21 0.022.o7.oo9.OlO.oi2.oi3.oi5.oi6.oi8.oi9.o2o.o2i.o22.024.025.026.08.oio.oi2.oi4.oi5.oi7.o18.020.022.023.o24.026.027.028.030.09.Oli.Ol3.Ol5.oi7.Ol9.o2i.022.024.o26.027.029.030.032.o33.Io.o~3.o~5.o~7.oi9.o21.023.o25.027.029.03o.032.034.035.o37 ~1~ 70~ 69~ 6S~ 67~ 60~ 65~ 04~ 63~ 62~ 61~ 60~ 59~ 5S~ 0.06 0.023 0.024 0.025 0.026 0.027 0.028 o'o25 o.o29 o.o3o o.o3i o.o3I 0.032 o.033 0.034.07.027.028.029.o3o.o3r.032.o33.o34.o35.o36.o36.037.038.039.08.o3I.032.o33.034.035.036.038.o39.040.o4t.042.o43.o44,045 ~ 09.035.o36.037.o39.040.o4I.042.044.045.046.047.o48.o49.o5I.xo.o38.04o.o4I.043.044.046.047.o48.050.o5I.052.054.o55.o56 56~ 54~ 52~ 50~ 4~~ 40~ 44~ 42~ 40~ 3S~ 36~ 3~~ 32~ 30~ o.06 o.o35 o.036 0.038 o.04o o.o4I 0.042 o.o43 0.o44 o.046 o.047 0.049 0.050 o.o5z 0.053.07.o4I.043.o44.046.048.049.05o.052.053.o55.057.058.060.o6r.08.047.o49.o5~.o52.054.056.058.o60.062.o63.065.067.o68.070 ~ o9.o53.o55.o57.o59.o6r.063.065.067.069.o7I.073.075.077.079.io.o58.o6~.o63.o66.o68.o7o.o72.o74.o77.o79.o8r.o83.o85.088 ~$~ 26~ ~4~ 22~ 20~ 1~~ lg~ 16~ 15~ 14~ 1$~ 12~ 11~ 10~ 0.06 o.o54 o.055 0.057 0.058 0.059 o.o6i o.o62 0.063 o'064 o.064 o.065 0.o66 o.067 0.068.07.o63.064.066.068.o69.o7~.072.o73.074.o75.076.077.078.o79.08.072.074.076.078.079.082.083.084.085.o86.087.088.089.o9o.09.o8~.083.085.087.089.o92.o93.o94.095.096.o97.099.Ioo.IOI.IO.090.092.094.097.099.Io2.Io3.Io4.lO6.lO7.lO8.IiO.III.1i2 9o 8~ ~~ 6~ 5~ 4~ 3~ ~o 1~ O~ 350~ 35~~ 35~~ 356~ 0.06 0.069 o.069 o.o70 o.o7r 0.072 0.073 o.o74 o.075 o.076 o.077 0.078 o.079 o.o8o o.o82 ~ 07.o8o.o8I.o82.083.084.085.086.o88.089.o90.o9~.093.094 io95.08.o9i.092.094.095.096.098.099.Ioo.Io2.Io3.Io4.Io6.Io7.Io9 09.Io3.Io4.Io5.Io6.Io8.Io9.Ill.II3.II4.I~6.117.II9.120.122 Io II4.IlS.II7.118.120.122.123.125.I27.I29.~30'132.I34.~36 354~ 353~ 35~~ 351~ 3~O~ 349~ 345~ 34g~ 3~6~ 3i5~ $44~ 343~ 342~ 0.06 35~ o.o o.o84 0.085 o.o87 o.o88 0.09o o.o9r 0.093 o.o95 o.o97 o.o99 o.~oo o.~o2 o. xo5.o7.o97..O95.IOO.IO2.103.IO5.107.IO9.III.113'115.II7.I20.I22.08.II0.II2.II4.II6.II8.I20.I22.I24.I26.I29.I3I.I34.137.139 ~ o9.I24.I26.I29.~3I.~33.~35.I37.~4o.~42.~45.I48.~5r.I54.~57 to.138.i4o.~43.t45.t47.I5O.I52.I55.I58.I6I.Z64.~67.t7t.Z74 341~ 340~ 339~ 338~ 337~ 336~ 335~ 335~ 333~ 332~ 331~ 330~ 329~ 32S~ o.o6 o.~o7 o. Io9 o.I*I2 o. ii5 o. II7 o.~2o o.i24 o.~27 o. I3i o. I35 o.139 o.~44 o.~5o o.~56.o7.~25.~28.~3o.~34.~37.~4o.~44.~49.~53.~58.~63.~68.~75.I82.o8.~42.~46.~49.~53.~57.~6o.~65.~7o.~75.~8o.~86.~92.2oo.207.o9.x6o.x64.~68.~72.~76.~8o.x86.~9r.~97.2o3.2o9.2x6.224.233 Io.I78.I82.I86.i9i.i95.2oo.2o6.212.218.225.232.24o.249.259 3~6~ 3~5~ 3~4~ 3~$~ 3~~ 3~1~ 8~O~ 319~ 318~ $1~~ 316~ 315~ 303~ $~J2 0.06 o.~ o.~69 o.~77 o.~86 o.t97 o.2o9 0.222 o.239 o.258 0.282 o.312 o.349 o.399 o.3~9 ~ o7.~89.~98.2o7.2i7.230.244.260.279.3oI.329.363.407.466.372.08.2~6.226.237.248.262.2,8.297.318.344.376.415.465.532.424 ~ o9.243.254.266.279.295.3~3.334.358.387.423.467.524.599.477 to.27o.282.295.3io.328.348.37~.398.430.470.5~9.582.665.530 301~ 300~ 299~ 295~ 297~ 296~ 295~ ~9g~ 293~ 292~ ~91~ 290~ 2'89~ 30:2 0.,36 0.2 6 o.225 o.~94 o.~69 o.~49 o. I32 o. ii8 o.~o6 0.095 0.086 0.077 o.o7o 0.064 0.057.o7.3Io.263.227.~98.~74.~54.t38.I23.I~.ioo.o9o.o82.o74.o67.o8.353.3oo.259.226.~99.~76.~57.I4o.~27.~I4.Io3.o94.o85.o76 ~ o9.338.29I.254.224.~o8.~77.~59.I42.I29.~{6.~o5.o95.o86 ~o 42.~;98.375.324,282.249.22o.~96.I76.~58.x43.~29.~7.~o6.o95 0.06 0.052 0.047 0.043 0.038 0.034 o.o3~ 0.028 0.024 0.022 O.Ol9 o.o16 O.Ol4 o.o12 0.009 o7 o6~.055.050.045.040.036.032.028.025.022.Ol9.o16.Ol3.Oli o8 070.o63.o57.o5~.o46.o4~.037.032.029.025.022.o18.Ol5.o12 09 078.o7o.o64.o58.o5~.o46.o4r.o37.o32.o28.o24.o2o.o~7.o~4 ~o o87.o78.o7~.o64.o57.o52.o46.o4r.o36.o3r.o27.o23.olq.oi6 38 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, -B4. 4-1 ~~~~~~~~~~~~~~~~~~Between 3150 and 85 the Correction has the same C ~~~~~~~~~~~~~~~~~~~~sign as the Constant; between 2750. and 3030 it has Argument: Zenith Distance South. ~~the opposite sign. For reflection observations the 0 sign is reversed. 550 540 S30 520 Si0 SO0 790 780 770 760 750 740 730 720 S. S. S. S. 5. 5. S. S. 5. S. 5. 5. 5. 5. 5. 0.1II 0.014 o.oi6 0.019 0.021 0.023 0.025 0.027 0.029 0.03I 0.033 0.035 0.037 0.039 0.041.I2.015 o0i8.020.023.025.028.030.032.034.036.039.040.042.044.13.oi6.019.022.025.027.030.032.035.037.039.042.044.04.6.048.14.oi8.021.024.027.029.032.035.037.040.042.045.047.049.052.15.019.022.025.029.031.034.037.040.043.045.048.050.053.0055 710 700 690 6O0 670 660 650, 640 630 620 610 60 0 590 5s0 0.11 0.042 0.044 0.046 0.047 0.049 0.050 0.052 0.053 0.055 o.o56 0.058 0.059 o.o6o 0.062.I2.046.048.050.051.053.055.056.058.o6o.o6i.063.064.o66.067.13.050.052.054.o56.o58.059.o6i.063 o065.o66.o68.070.071.073.14.054.056.o58.o6o.062.064.o66.o68.070.071.073.075.077.079.15.o58.o6o.062.064.o66.o68.070.073.075.0,76.o78.o8o.082.o84 560 540 520 590 480 460 440 4 2 0 490 3SO50 360 340 320 3900 0.11 0.064 0.067 0.070 0.072 0.075 0.077 0.079 0.082 0.084 0.087. 0.089' 0.092 0. 094 0.096.I2.070.073.076.079.o8i.084.087.089.092.095.097.100 102.105.13.076.079.082.o85.088.091.094.097.100 102.105.IO8 III.114.14.082.085.o88.092.095.098.101.104.107.110.113.ii6 120.123.15.o88.091.095.098.102.105.IO8 I12.115.II8 I22.125 128.131 250 260 240 220 200 ISO 170 160 150 140 130 120 110 190 0.11 0.099 0.11 0104 0.107 0.09 011 I013 0.115 0.6 oi8 019 012 012 014.I2.IO8 1 13.ii6.119 I122 I124 I125.127 I128.130.132.133.135.13.117 I120 I123.126.129.132.134.136.137.139.141.143.144.146 14.126 I129 I132.I36.139.143.4 16.4 10.5.154.155.157.15.135.138.142.145.149.I53.154.157 5i8.~ 13.6 16.6 90 so 170 60 50 410 30 20 10 90 3590 35S0 3570 3560 0.11 0.I25 0.127 0.129 0.130 0.132 0.134 0.136 0.138 0.139 01I41 0.143 0.145 0.147 0.150.I2.137.138.140.142.144.146.148.150 I52.154.156.159.i6i 16.13.148 15O.152.154.i56.158.i6o i162 164 167 i169.172.174.177.14.i6o.i6i i164 i166.168.170.173.175.177.iSo I82.185.I88.191.15 I17I.173.I76.1IF78.i8o.182.i85.188 Ig90.193 i196.198.201.204 3550 3540 3530 3520 3510 3590 3490 34S0 3470 3460 3450 3440 3430 3420 0.11 0.152 0.154 0.157 0.159 0.162 0.i65 o.i68 0.171 0.174 0.177 o.i8o 0.184 o.I88 0.192.12 i166.i68.171.174.177.ISO.183.I86 Ig90 I193.197.201.205.209.13.179 I182.185.i88.191.1I95.198.202.205.209.213.217.222.226.14.193.196.200.203.206.210.213.2I7.221.225.229.234.239.244.15.207.210.214.217.221.225.229.232.237.24I.246.251.256.261 3410 3400 3390 33so 3370 3360 3350 3340 3330 3320 3310 3390 3290 32S0 0.11 0.196 0.200 0.205 0.210 0.215 0.221 0.227 0.233 0.240 0.248 0.256 0.265 0.274 0.285.12.214.2I8.223.229.234.241.2417.254.262.270.29.89.9 31I.13.231.236.242.248.254.261.268.275.283.292.302.313.324.33)7.14.249.255.260.267.274.28I.288.296.305.315.325.337.349.363.5.267.273.279.286.293.0.309.1.327.33-39.61.374.3189 3270 3260 3250 3240 3230 3220 3210) 3290 3190 31S0 3170 3160 3150 3930 0.I 0.297 0.310 0.325 0.34I 0.361 0.382 0.408 0.438 0.473 o.5i6 0.571 0.640 0.73I 0.584.2.324.38 35.372.393.4I7.445.478.5i6.6.622.698.78.637.13.351.367.384.403.426.452.482.5I7.559.6io.674.756.864.690.14.378.395.4I3.434.459.486.519.557.6o2.657.726.814.931.743.15.405.423.443.465.492.521.55.597.645.704.778.872.997.796 3020 3010 3990 2990 2980 2970 2960 2950 2940 2930 2920 2910 2900 2S9) TABLESOF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 39 VALUES OF THE LEVEL CORRECTION, Bb. Between 3r5~ and 85~ the Correction has the same sign as the Constant' between 275~ and 3o3~ it has Argument' Zenith Distance South.~ the opposite sign. For reflection observations the sign is reversed. 3 I S5~ 84~ S2~ SI~ SO~ ~O~ ~S~ 77~ ~6~ ~5~ 74~ ~3~ 72~!........ I I S. S. S. S. S. S. } S. S. S. S. S. S. S. S. ~ o.16 o.02o o.024 o.o27 o.o3o o.o34 o. 37 o.o4o 0.o43 o.046 o.o48 o.o5I o.054 0.056 o.o59 ~ i7.o2i.o25.029.032.036 ].039.042.045 [.049.o5r.054.057.060 ].063.18.o23.o27 030.o34.038 [.o4I,o45.o48 [,o51.o55.058.o61.063 [.o66.19.024.028 032.036'04o.044.047.o51 ],054.058.o6i.064.067 /.070 /.20.025.030 034.038.042.046.050.053 /,057.o6i.064.067.o7I.074 /,,o,oo 600 o.16 o.o6r 0.064 0.066 0.069 o.o7r,0.072 0.075 0.077 0.080 o.o8I 0.084 o.o86 0.088 [ o.09o,o/ oo.I7.o65.068 070.o73.075 /.077.080.082 ~.085.087.089.o9r.093 ~.095.18.069.o72 074.077.080 /.082.085.087 ~.o89.o92.094.096.099 {.1o1.I9.o73,o76 079.o82.o84 ~.o87.089.092 [.094.097.099.lO2.lO4 /.Io7 / / t o.16 0.094 o.097 O. lOl o. Io5 o.~o8 O.II2 O.JI6 O.II9 O. I23 O.I26 O. I30 O.133 O.137 O. I40.I7.099.IO3 107.1II.115 ~.II9.I23.126 |.130.I34.138.14I.145 |.149.18.105.109 114.118.122 {.126.130.134 ~.I38.I42.146.I50.I54 ~.I58.19.1II.I16 I20.124.129 ~.133.137.14I ~.I46.I50.154.I58.I62 ~.I66.20.117.122 126.13I.140.144.I36/.149 [.I53.158.162.166.175.17I / O.I6 O.144 O. I48 O. I5I O.155 O.~59 O.I63 O.I65 O.167 O.I69 O.~7I O. I74 O.175 O. I78 O.180 ~ 17.I53.157 ~I61.165.169 ~.I73.I75.177 ~.I79.I82.I84.I86.189!.I9I.I8.I62.I66.I70.174.I79 ~.183.185.I88 ].I90.I93.I95.197.200 ].202.19.I71.I75,180.184.189!.194.196.198!.200.203.206.208.21I!.214 9~ So ~~ 6~ 50 30 20 I99l O4 1~ O~ 3590 358~ 3570[ 3560 o.16 o.182 o.185 o.187 o.189 ~'192 / o.195 o.197 0.200 0.203 0.205 0.209 o.212 o.214! o.218.I7 /.194.196.I99.2Ol.204 [.207.21o.212.215.218.222.225 [.228 ~.23I.18.2o5.208.2ii.213.216 [.2r9.222.225.228.23I.235.238.24I [.245 ~.19.217.219,222.225.228 [.231.234.238 [.240.244.248.25I.255 [.259.20.228.23I.234.237.243.247.250.240/ /.253.257.26i.264.272.268[ o.16 o.22I 0.224 0~228 0.232 0.236 [ 0.240 0.244 0.248 | 0.253 0.257 0.262 0.268 0.273 / 0.279.I7.235.239.242.246.250 /.255.259.264.269.273.279.284.290 ~.296.18 ~.249.253.257.261.265 ].270.274.279.284.289.295.3or.307 ~.313 ~.i9.263.267.271.275.280 {.285.290.294.300.306.311.3r8.324 |.33I ~.2o.277.28I.285,29o.3oo.295/.3o5.31o.316.322.328.334.34I/.348 / $41~ 340~ 330~ ggS~ 35~~ / 360~ 336~ 334~/ 333~ 332~ 331~ 330~ 329~~ 32S~ o.16 0.285 o~29I 0.298 0.306 o.313 [ o.321 o.33o 0.339 0.349 0.360 0.372 0.385 ~ 0.399 t o~415.17.3o2,3o9.316.325.332 ~.34I.350.360.37I.382.395.4o9.424 |.44o.18 ~.320.328.335.344.352.37I.405.433.449 /.466 |.36I.381 /.393.4~8.19!.38I.4o2.338.346.353.363.37r.39I |.4~4.427.442.457.474 |.492.20.356.364.372.382.4oi.412.424 /.436.450.465.48I.39I.518.499 $2~~ g26~ 325~ 3~4~ 723~ I 3~2~ $~1~ $~O~ 3119~ 318~ 317~ 316~ 315~' o O I6 0.432 O.451 0.472 0.496 0.524 [ 0.556 0.593 0.636 0.688 o.75I 0.83O O.93I 1.O64 ~ 459.479.502.528.557 /.590.630 ~676 73~.798 0.882 0.989 I.I30 ~ 486.508.53I.559.59~ [.625.667.7~6 774.845 0.934 I.o47 1.I97 ~ 5~3.536.56~.590.623 ].66o.7o4.756 817.892 0.986 I.lO5 1.263 ~ 54o.564.59o.621'695.74I.796 86o.939 1.o37 1.~63 1.33o'656 / 302~ 301~ 3OO~ ~O9~ 2980 / ~9~~ 296~ 295~ ~94~ 293~ 292~ 201~ 90' ~9~ 0.707 0.600 o.5~6 0.452 0.397 [ 0.353 o.315 0.282 0.253 0.228 0.206 o.187 I69 153 ~ 751.637.548.480.422 [.375.335.299 269.242.219.198 18o 163 ~ 795.675.581.5o8.447 [.397.354.3~7 285.257.232.21o I9O 172.839 i.712.613.536.472 [.419.374.334 3oi.271.245.222 2Ol 182.,.883.75o.645.564.497.44I.394.352 317.285.258.233 2II 19I 255o / ~Sgo ~86o 2~50 2~4~ 2~3~ ~8~o 281~ 260o 2~9o 278o 27~o 76' g5~ / ~, o.139 o. I25 o.113 o.io2 o.092 | o.o82 0.074 0.o65 o.057 0.050 o.043 0.037 o3I 025 I47.133.i2o lO9.098.088.078.o69 o6i.053.046.039 / 033 027 I56.14~.I27 I~5.~o3 [.o93.o83.o73 065.o57.o49.o42 035 028. }? ~65.149.I35 121.io9 [.o98.o87.o77 068.o6o.o51.o44 037 030 ~ ) I73,157.142 128.115 ].~o3.o92.o8I 072.o63.o54.o46 039 o3I 40 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, B~. Between 315~ and 85~ the Correction has the same sign as the Constant; between 275~ and 3o3~ Argument. Zenith Distance South. it has the opposite sign. For reflection observations the sign is reversed. P 85~ ~4~ 83~ ~2~ ~1~ 80~ 79~ 7S~ 77~ 76~ ~5~ 74~ ~3~ 72~,,, j..... s. s. s. s. s, s. s. s. s. s. s. s. s. s. o.o26 o.63r o.035 o.04o o.o44 o.048 o.052 o.o56 o.o6o o.064 0.067 o.o7I o.074 o.077.o28.033.037.042.046.o5I.055.059.063.067.o71.074.078.o8I ~ 029.o34'.039.044.048.o53.057.o61.066.070.074.078.o81.o85.030.036.o41.046.050.055.060.064.069.073.077.o8I,.085.089 ~ o32.o37,042.048.o52.058.062.067.072.076.080.o84.o88.092 gl~ 70~ 09~ 68~ 67~ 66~ 65~ 61~ 63~ 62~ 61~ 60~ 59~ $8~ o.o8i o.084 o.o87 o.o9o o.o93 o.096 o.099 O. lO2 O. lO4 O.lO7 o. iio o.I~3 o. I15~ o.118.o84.o88.o9~.o94.o97.ioo.io3.io6.io9.i~2.ii5.ii8.i2i,123.088.092.095.099.lO2.lO5.lO8.Ill.114.117.12o.123.126.129 ~ 092.096.099.IO3.IO6.IO9.113.~16.119.122.I26.I29.132.I35.096.Ioo.lO3.107.Ill.114.118.121.124.127.I31.I34.137,140 56~ 54~ 5~~ 50~ 4S~ ~6~ 4~~ 4~~ 40~ 3S~ 30~ 34~ 32~ 30~ o.123 o.128 o. I33 o.138 o.142 o.~47 o.152 o. I56 o.161 o.165 o.17o o.175 o.179 o.184 ~ I29.I34.139.144.149.154.159.I64.169.I73.I78.I83.I88.193 ~ 135.14o.145.151,156.16r,166.171.I76.I81.186.19r.196.2ox.I4O.I46.I52.157,163.168.173.179.I84.189.I94.2oo.2o5.21o ~ I46.I52.158.I64.I7O.175.181.186.192.197.202.208.214.2I9 28~ 26o ~4~ 22~ ~O~ l~~ 17~ 16~ 15~ 1~~ 15~ 12~ 11~ IO~ o.189 o. I94 o.198 0.203 0.209 o.214 o.216, o.2I9 o.221 0.225 0.228 0.230 0.233 0.236 ~ 198.2o3.208.2i3.218.224.227.230.232.235.239.241.244.247.207.212.217.223.228.234 237.240.243.246.249.252.255.258.216.221.227.232.238.244.247.251.253.257.260.263.266.270 ~ 225,230.236.242.248.255.258.26I.264.268.271.274.277.28I 9~ S~ 7~ 6~ 5~ 4~ 3~ ~~ 1~ O~ 359~ 35S~ 357~ 356~ o.239 o.242 o.246 0,249 o.252 0,255 0.259 0.262 0.266 0.270 o.274 0.278 o.28r o.286 ~ 251.254.257.260.264.267.271.275.279.282.287.29I.295.299.262.265.269.272.276.279.284.288.291.295,3oo.304.308.313 ~ 274.277.28I.284.288.292.296.300.304.308.313.317.322.326.285.289.292.296.3oo.3o4.308.3~2.3~7.32~.326.33o.335.340 355~ 354~ 353~ 352~ 351~ 350~ 3~9~ 3~8~ 347~ 346~ 3~5~ 344~ 3~3~ 342~ o.29~ o.295 o.299 0.304 0.309 o.315 o.32o 0.325 0.332 0.338 o.34~ o.35I 0.358 o.366 ~ 304.309.3~4.319.324.330.335.341.348.354.361.368.375 383 ~ 318.323.328.333.339.345.350.356.363.370.377.385.392.400 ~ 332.337.342.348.354.360.366.372.379.386.393.4Ol.409.418 ~ 346.351.356.362.368.374.38I.388.395.402.4Io.418.426 435 0.374 0.382 o.391 o.40o o.4ro ~.421 o.433 0.445 0.458 o.472 0.488 0.505 0.524 o.544 ~ 392.40o.409.4~9.430.441.453.466.48o..495.511.529.549.57o.409.4~9.428.438.449.46I.474.487.502.5~7.534.553.574.596 ~ 427.437.446.457.469.481.494.508.523.540.558.577.609.622 ~ 445.455.465.476.488,5ox.5~5.529.545.562.581.6o~.634.648 $~7~ $~0~ 3~5~ 3~~ $~3~ 3~~ 3~1~ $~O~ $19~ $18~ $17~ $16~ $15~ ~O3~ 0.567 o.592 0.620 0.652 0.688 0.729 o.778 0.835 0.903 0.986 1.o89 ~.221 1.396 1.1~4 594.620.65o.683.721.764.815.875 0.946 1.o33 1.14~ 1.28o 1.463 ~.167 621.648.679.714.754.798.852.915 0.989 ~.o80 I.I93 ~.338 ~529 1.220 ~ 648.676.7~9,745.787.833.889.955 x.o32 1.127 1.245 x.396 1.596 1.273 ~ 675.705.738.776.8~9.868.926.994 x.o75 1.174 1.297 1.454 1.662 x.326 30~~ 301~ 3OO~ ~99~ ~950 ~97~ ~96~ ~95~ ~9~~ ~930 ~9~~ ~91~ ~90~ ~~9 0.927 0.787 o.677 0.593 0.522 0.463 o.413 0.370 0.332 o.299 o.271 o.245 0.222 o.2ol 0.972.825.7Io.621.546.485.433.387.348.3~4.284.257.233.211 1.o16.862.742.649.571.507.453.405.364.328.297.268.243.22o 1.o6o.90o.774.677.596.529.472.423.380.342.3~o.28o.254.23o I.lO4.937.807.706.621.551,492.440.396.356.322.292.264.239 ~SS~ ~S7~ ~86~ ~S5~ ~84~ ~S3~ ~S~~ ~S1~ ~SO~ ~79~ ~78~ ~7~ ~76~ ~75~ o.~82 o.165 o. I49 o.134 o.~21 O.lO8 0.097 o.o85 0.075 0,066 0.057 0,049 o.o4r o.o33 ~ 191.172.156.I41.126.113.lOl.089.079.069,060.o51.042.034 ~ ~99.i8o.t63.~47.~32.~8.~o6.093.083.072.062.053.044.036,208.188.17o.15.3.I38.124.iio.097.086.075.065.055.046.037 ~ 217.I96.I77.16o.I44.I29.115.io1.o93.078.068.058.048,039 'TABLES OF INSTRUMENTAL CO-NSTANTS AND CORRECTIONS. 4If VALUES OF LEVEL CORRECTION, ~b. Between 3I5~ and 85~ the Correction has the same = ~~~~~~~~~~~~~~~~~~~~sign as the Constant' between 275~ and 303~ it has tn Argument: Zenitll Distance South. ~~~~the opposite sign. For reflection observations the o ~~~~~~~~~~~~~~~~~~~~~~~sign is reversed. 85~ 4~ |, 83~ 82~ |Sl~ | 80~ | 79~ | 78~ | 77~ | 76~ 75~ |74~ 73~ 72~ | s. s. s. s. s. s. s. ~ s. s. s. s. s. s. s. s. o.26 0.o033 0.038 0.044 0.049 0.5 ~0S.060 0.06S 0.069 0.074 0.079 0.083 0.088 0.092 0.0g6.27.o34.o4o.o46.o51.o57.o62.o67'.o72.o77.o82.o87.o9I.o95.lIOO.28.035.o41. o47. o53.059.o64 0 70 *.o75.o8o.o85.o9o.o94.o99.Io3 ~.29.o36.043.049.055.o6~.0o67 0 72.077.0o83.0o88. 093. o98. Io2. Io7 ~30 0o38.044. o5~ I. 057,063.069,o75.o8o.o086.o9I.096 |.Ioi.Io6|.III j 71~ 70~ 69~ 68~ 67~1 66~ 65~ 64~1 63~1 62~ 61~1 60~ 59~ 58~' 0 6 o I0O0 0.1I04 0.1I08 0.1III O. IIs 0.119 0. i22 0.I26 0.129 0.132 o.136 o. I4o o. I42 o. I46.27.lO.I8. II2. II6. I20. I23.I27.I3r *.I34. I37. I4r. I45. I48.1I5I.28.J7.II2. II6.1I2o.1I24. I28 1 32.I36.139.I42.I4fi.I jo. I53.I57.2.Irt II6. I20.I24.128.I32.I36. I40. I44. I48. Is2.Iss.Is9.163 * ~.Itrs| I20.1I24. I29 *.I33. I37.I4I. I45. I49.1Is3.157.I6I.1I64. I68 5~ 541~ 52~ 50~ 483~ 46~ 044~8 42~ 40t~ 38~ 36~ 34~ 32~ 30~ o.2 15I2 0. I58 0.164 0,I70 o,.I76 0. I82 0.I&. I93 0. I99 O.205 0.2rI 0.2I6 0.222 0.228.2 1.58.I64.17r.I77. I&3. I89 *I95.20I.207.2I3.219.225.231.236.2 I63. I70. I77.IT83 *.I30. I90.202. 208. 2r4. 22Ir.227.233:.239.245 ~2 1I70.176.I83'190.I97.203.209.216.222.229.235.24r.248.254' ~ I76 ~ 82 j.1I90. I96.203.2IO 21.I7 223.2*3~ *.236.2t43.250 |.256 |.263 28~ 26~ 24~ 22~ 20~ ~ 18 1~ 16~ 15~ 14~ 13~ 12~ 121~ 10[~ 0.6.23: 0.24 0.246 0.252 0.258 0.265 o.26 o.27I 0.275 0.278 0.282 0.285 0.289 0.292.7.243.249.255.262.268.275.278.282.285.290.293.296.30o.303.8.252.258.26q.27I.278.285.288.292.296'.300.303.307.31I.3I4..26I.267.274.28r.288.295,299.3o2.3o6.3IO.314.318.322.326 *.270.277.284.29I.298.306.309.213.317.32I.325.329.333.337 9o So~ 7~ 6o 5~ lo0 3o ~o~ 1o 0~o 359~ 358~ 357~1 356~ 0,6,29( 0.30 0.304 O.3O8 0.312 0.3r6 O,,320.o325 0.329 0.334 o.339 O.344 0.348 0.354 ~2.3o8.3rI.3I6.320.324.328 *333.338.342.347.352.357.362.367 ~2 3tq *.32,.328 *.332.336.340 *345.350,355.360.365.370.375,.38r ~2 *33r.334.339.343.348.352 *357.362.368.373.378.383.389.395 ~3,342.346.35I.355.360.365 *37o.375.380.386.391.397.4o2.408 355~ 354~ 353~ I352~ 351~ 350~ 3,19~ 348~ 347~ 346~ 345~ 344~ 343~ 342~ o 26 0.359 0.o36S o.37~ 0.~377 0.o383 0.389 0.396 0.403 o.41I o.418 |0.426 0.435 0.444 |0.453.27. 373.379.385. 391.398.404,4~II.4I8.427 *434.443.45I.46I.470.28 |.387.393. 399. 4o6.4 I2.4Ig *427. 434.442 | 450.459.468.478.487.29.4o.40r.41 | *4I. 420.427.434 *442. 45o.458 1 466.475,485.495.5o5.30. 41. 42 I. *428 |.*435.442.449 *457 |.*465.474 ~ *482. 492.502. 51I2'522 34 1~ 340~ 339~| 338~ I3:37~ I336~ 13385~ 334~ I333~1 332~ I3t3 1~ 330~ I329~ 328~ 0.26 o.463 0.473 |0o484 |o.496 0.508 0.52I 0.s36 o.0551 o.s67 0.585 |o.6o4 0.625 |o.648 o.674.27.48o. 49I. 502.| 1.s~ 527.54r *556. 572.589 |.607 |.627. 649. 673.700.28. 498!.51o. 52I. 534.547.s6I *577. 593.6II. 630. 65o.673 |.698.7*25.29. 516. 528. 539. 553.567.58I *597. 614.632. 652. 674. 697 |.73 75I.3o.534.546.558.572.586.602 1 618. 635.654i.675.6971.721 1 748.77 1 27 326~ 325~ 324~ 323~ 322~ 321~ 320~ 319,] I'F~ t 1~|316~ | 1~|303~'-2 |.i72 o.733 |o.768 0.o807 0.852 o.9o3 0.964 |I*o34 I.II |.22 |x.3g|I52 ~ I-2 1.I379.27 | 729 |.761. 797.838.&&5 o.937 I.ooI1 I0o74 I.I7o ~ I.6 |.400|150|I75|I32.28 | 78|.789 |.827 |.869.9I8 o.972 I.0o38 |I.II4 I20 |1.I.5.628 |.86 |.485 ~.29 | 73|. 8 I7 |.*856 |.9o0 *.952 I.oo6 I..o75 |I.*I 54 I1.4 *32|I* 0 687 ~ I 1.98|I.538.3o | i *1 | *846 |.86. 931.983 I.o42 i.II2 |.I93 I@9 |1.0 I5.745 ~ I.94|I592 t( 30~ )31~ 3 300~ 299~ )93 |27~ 296~ 295~ 294 " 29~ 292~1t:~ t' 29~ 289 o.26 |.I8|.975 o o839 |o.734 o,4 573 o.5I2 |0o458 0.42|o7 35|o303.;*7 0.o2]9.27 |I.Ig2| I*O2 | *7I |.762.7 |.595 *53r. 475-: 47|.8.34 3I5.;28.258.28 o.3.50 | 903. 79o *696| 67.55I. 493 *43| *99r*6.327 |.29 |.268 ~.29 o.8.87 | 935 |.818.2 |.639 *57r.|.sI 45,I | *7 | *338 |.30 |.278.30 |i.35 1 I2 | 968 |.847 *766|.66 59o | 59 *7 48|.87| *5 37|*8 ~i 29~ ~27~ t 226~ 2835~ 24 83~ 2832~ 2831~ 2t30 " IT~ | 787|27~!,F~ 275 o.26 |025|.204 o OI84 |o. I66 O ~ I34 o..I2o |O. I06 O. o9 o.062|o-7. )o o~o5 | -4I.27 |.3 1.2I2 | Igl.I73.s | *I39.I24 |.I 0.io8 | 73|.6 |.52|*4.28 | *4 | 220 | I98.;*7 9.Ir|.44.I29 |.I;4.II| o8 | *76| os| 54|*4.9.o6. i.o4 6~ 72 At?. I TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE LEVEL CORRECTION, B~. Between 3~5~ and 85~ the Correction has the same sign as the Constant' between 275~ and 303~ Argument' Zenith Distance South, it has the opposite sign. For reflection observations the sign is reversed. S~o ~~o S3o S3o ~l~ SOo,90 75o ~o ~3o!~3o 7~o i 76o t 75o s. s. s. ~, s. s. s. s. s. s. s, s, s. s. o.3I o.o39 0.046 o.o52.059 o.o6 0.075 o 077 0.083 i 0.089 0.094 0,099 o. Io4 o. Io9 Io.154.04032 [..... [ —t..... ].047.054.o61.06.074 080.085.092 [.097 [.Io3 [.io8.It3 [.i18 ~ 33 [.042 [.049.056.063.06.076 082.088.094 ].IOO,IO6.II1.II6 [.122 [ ~ 34 [.043 ].050.O57.065.O?.078 085.O91.097 ].IO3 I IO9.120 ],I25.059 I1~.066.07.080 087'35 1.O441.O5'.O93..1OO1.106 1112 11,.1241.129 7o~ 69~ os~ 6?' o6~ 65~ 64~ o~~ 59~ I 5s~ o~ ] 61~.I28.132.137.14.146.15o.155.I59 163 /.I67.I75 I.18o.I32.I37.142.14.t5o.155.16o.164 168 t ~73.I81 [.185.136.I41.146.I5.I55.I6o.565.169 I73 I r78.586 I.191 o.11 o ~,14o.145.15o.15.16o.164.169.I74 ~7s ~s3.~9:~ /.I96 / 5~ 54~ 5~o 50~ 4~o 4o~ 44~ ~2o,o~ 8~so ~:oo 3~o / 30~ o. / o.i, o.188 o. 196 0.203 o.21o o.217 0.224 o.23r 0..238 0.:244 o. 251.265 0.272 ~.1~.I94.202.2io.217.224.231.238.245 252 259.27i3 ]~.280 /.I(.2Ol.209.216.224.231.238.246.253 250 267.282 1~.289.5~.207.215.223.231.238.245.253.260 268 275.290 ] [.298 3~ 26~ 34~ 33~ ~O~ 1~~ lg~ 16~ 15~ 1 18~ 11~ / IO~ o. o.2 0.286 o.293 0.3o0 o.3o8 o.316 o.319 0.323 0.327 0.332 / 0'336 3 0.344 0.348.21.295.302.31o.318.326.330.334.338 342 / 346 2 355.3~.2,.304.312.320.328.336.340.344.348 353 / 357 5 366 371.34.313.321.329.338.346.350.354.359 364 ] q68.2 377 382 9~ ~~ 7~ 6~ 5~ 4~ 3~ 2~ 1 ~ g~9~ ~ I 357 350~ o. 353 o.358 0.363 0.367 o.'372 0.377 0.382 0.388 0.393 398 / 0.404 ~. o.415 0.422 365.369.374.379.384.389.394.40o.406 411 ] 417 ~429 435 376.381.386.391.396.4or.407.412.418 424 / 430.442 449 388.392.398.403.408.413.419.425.43I 437 ~~ / 443 4.456 463 399.4o4.41o.414.420.425.431.438.444 450 456 4.469 476 ~5~ / 354~ 353~ 353~ 351~ 350~ 3~9~ 3;~~ 3~,~ 3~10~ 315~ ~ ~ 3~ o.?~o 428 0.435 0.442 0.449 0.457 o.464 0.472 0.480 0.490 o.,498 o.508 / 0.529 540 442 ~.449.456.464.471.479.488.496.506 515 524.546 557 / 456.463.471.478.486.494.503.512.522 531 / 54I.563 575 47o.~.477.485.493.5Ol.5o9.518.527.537 547 / 557.580 592 484.491.5oo.5o7.516.524.533.542.553 563 574.5'.597 609 11~ i 3~O~ 389~' 338~ ~~ 3;36~ ~~ 8;~~ ~~ ~1~~ ~ 11~ 3' ~39 ~~ o. 552 o.564 o.577 o.59~ o.606 0.622 0.639 0.657 0.676 0.:697 o.72o 0.746 0.773 o.803 570.582,595.6io 625 642.659'678~ ~698 720 I 744.770.798 829 587.600.614.629 645 662.680.699.720 742 ] 767.794.823 855 605.6t9.632.648 664 682.700.720.742 765 I 790.818.848 881 623.637.65~.667 684 702.72i.74~.763 787 ] 813.842.873 907 337~ S36~ ~5 3~4~ 3~3~;~ ~ 3~1~ $RO~ 31' ~ I $11g~ $10~ 315~ $;O$~ 31 0.837 0.874 91! 0.963 i.o16., 7 I.I49 1.233 1.3:3., 1.6o8 1.8o3 2,o6I ~.645 32.864.9~2 94! 0.994 1.o49 a 1,186 1.273 1.3 3., 1.66o 1.86i 2.I28 1.698 33.89r.930 97, i.o2~ 1.o82 1.223 1.3~3 1.4 ).~ 1.712 5.919 2.~94 ~.751 ~ 34.9~8.959 oo. i.o56 1.114 1.26o 1.353 ~.4' z ~764 ~.977 2.26i 1.8o4 35.945.987 03: 1.o87 1.147 3 x.297 1.392 1.5, 5.i i 815 2.036 2.327 1.857 30~~ 801 ~ ~O ~!~9 ~~~'~ ~96~ 39~ ~ ~9.:~'~ ~O~~ ~91~ ~90 ~ ~~9 3~ 1.369 1.162 oo( o.874?70.~ 3 o.6io 0.546 0.4, ~ o 4o0 0.362.328 0.297 32 ~.413 200 i.o32.902 795 5.630.564.5' 7 413.373 ~338.306 33 1.457 237 ~.o64.93~ 820 7.649.581.5 a 426.385.349.316 34 ~ 669.599.5 ~ 439.397.353.325 I. 5Ol 275 ~. 097 ~ 95[ 845 ~ 35.689.616.408 1.546 312 i. I29.98~ 870.5 ~ 452.370.335 35 0,26o 243 o.219 o.19f 178 3 o.143 o.126 o.1 z o 084 0.072.060 0.048 32.277 251 227 2oz 184.13o.i 5 087.062.o5o 33.286 259 234 21] 189.~47..074 }.152.~34.I S c89.076.064.o51 34.295 267 241 21~ 195.I56.138.~ 2 lO7 092.079.066.053 35 ~.303 274 248 22~ 2or.I61.142.1 5 1io 095.o81.068.055 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS.' 43 VALUES OF THE LEVEL CORRECTION, ~. Between 315~ and 850 tile Correction has tile same sign as the Constant' between 275~ and 303~ Argument' Zenith Distance South. it has the opposite sign. For reflection observations the sign is reversed. ~5~ ~4~ Sg~ 79~,S~ 77~ 76~ 75~,4o' 73~ 72~................................ 5. s. S2~ I Sl~I SO~ s. s. s. I s. I s. s. s. s. s. s. s. s. s. 0'36 o.o45 0.053 o.o61 0.068 I 0.076 I 0.083 0.090 0.096 o. Io~ o. Io9 o. II6 o.121 o. I27 o.133 ~ 37.o47.o55.o62.o7o I.o78 {.o85.o92.o99.IO.II2.it9.I25.13I.I36.38.115.128.I3~.o48.056.o6,1.O72 I.oSo I.oS7.095.lOt.i22.i4o 39.io~.049.058.o66.o74 I.o82 I'090.097.lO4.xI.118.I25.I3r.I38,144 o,9 o761o 1o9 ~~,o~ o9~ o~~ [ 6,~ } 6o~ 05~ 64~ 6a 62~ oRo 60~ 59~ 5so 0.36 o. I38 o. I44 o.149 o.154 / o. I59 ] o.164 o.169 o.174 o.183 o.188 o. I93 o.197 0.202 ~ 37 o.17~.142.I48.153.I59 ]'~64 /'I69'I74'I79.~8.I88.i94.I98.203.208.38 ~ 179.I84.204.2o8.213.146.I52.I57.163 /.I68 [.I73.189.193.199 ~ 39.I5o.156.I61.I67 {.I73 /.178.183.I89.194.I98.204.209.214.2I9.4o.154.i6o.165.I72 [.~77!.i82.I88.194.199.203.209.2i4.2~9.224 ~6~ 54~ 52~ 1 50~ 45~ 46~ 44~ 4~~ ~O 3S~ ~O~ g4~ 3~~ 30~ 0.36 o.211 o.21 0.228 0.236 [ 0.244 { 0.252 0.260 0.268 0.276 0.284 0.292 0.300'0.3o7 o.315 ~ 37.216.22.234 242 ].25I ].259.267.275.28;3.292.300.309.316.324.38.222.23.24o 249 /.258 [.266.274.283.2c}1.299,.308.316.324.333 ~ 39.228.23.246 255 }.264 ].273.282.290.2~}9.3o7.316.324.333.342 ~ 40.234.24.253 262 /.27r /.280.289.298.3~)6.315.324.333.342.35o 0.36 0.324 0.33 0.34.0 0.349 o.351 ~ 7 o,371 0.375 0.380 o.385 0.39~ 0.394 0.400 o.405 ~ 37.333.34.350.359.36; 377.38I.385.391.396.400.405.4II.416.38.342.35.359.368.37; 387.39~.396.4or,407.4~r.4~6.422.427 39.35I.36.369.378.38; 397.4~2.406,412.417.422.427.433.439 40.360.36.378.388.39~ 407.412.417.423.428.433.438.444.450 90 o~O 60 5o ~o 30 2o 1~ Oo 359o 3~~o 357~ 3560 36 o~O o.4~o 415.421 0.426 0.43: 0.437 0.444 0.450 0.456 0.463 0.469 0.476 o.483 0.49~ 37.422 427.433.438.44~,149.456.462.469.475.482.489 1496.503 38.433 438.445.450.45( 46r.469.475.482.488.495.502.509.517 445.456.462.4q.5or.508 450.46~.473.48r.488 )4.515.523.53r 4,3,~.456 46I.468.474.48~ 486.493.500.507 514,52I.529.536.544 ~5~ ~4~ ~3~ 35~~ ~1;O~ ~19~ 34~~ 31~~ b$~ 344~ 343~ 3~2~ 36 0.497 0.505 51:[ 0.522 0.53{ 539 o.549 o.558 0.568 0.602 o.614 0.627.5~I ~79.5~9 528.536.54 55~.564.574 584 95.619.631.644:.525.533 542.55r.56, 569.579 589 6o0 6~t.635.648.662 ~ 3'.539.547 556.565.57, 584 604 6t6 627.652.665.679 4~.~94.56I.580.58, 620 6.669.682.696 570 ~o.553 599 ~ 63~ 43 36 0.640 o.655 670 0.687 o.7o' o.742 o.762 0.785 0.866 0.898 0.933 ~o 3~.658 673 688.7o6.72i 742.784.807 32.89o.923 0.959 3.~62.676 692 7o7.725.74: 762 83.805 829 ~55.9~4 948 0'985.694 71c 725.744.76: 782 18o3.826 85I 77.938 973 I.OLO 4'3~.7~2 728 744.763.962 998.78: 802.824.847 873 902 I.o36 g~o ~o 3~5 g~4~ g~~ g~l~ g~O~ ~1~~ gl~~ ~1~~ 315~ ~O~~ 36 0.972 1.o15 I.o6 i.i18 1.25r 1.334 1.432 1.691 1.867 2.094 2.394 1.9Io 1.o43 1,.o9 I.~49 ~.286 1.37I 1.472 ~.738 1.919 2.152 2.46o 1.963 3~ 0.999 1.o26 1.o7r 1.12 1:~8o 1.32o 1.4o8 1.512 1.784 1.97r 2.2IO 2.527 2.oi6 I.o53 I.o99 x.15 x.21~ ~.355 1.445 1.552 1.83i 2.023 2.268 2.593 2.069 4,~ i.o8o 1.128 i.i8 1.242 x.39o 1.4,82 1.59i ir878 2.075 2.326 2.660 2.122 36 590 1.35{ 1.16 I.or6 0.793 0.7o 0.634 o.513 0.464 0.42o 380 0.345 63:[ 1.38' 194 ~.o44.8~5.72.652.528.477.432 39r.354 3~ 678 1.42 226 I.o72.838.74.669.542.49~.443 402.364 722 1.46i 258 i.ioo.86o,76.687.556.5o3.455 412.373 4~ 766 1.5o, 290 1.129.882.78.7o5.57o.5~6.467 423.383 t~~ ~~? ~~ ~~~~ ~~g~ ~S~ ~1~ ~~0~ ~79~ ~78~ ~7~ ~6~ ~75~ 6 312 0.28, 255 0.230 o.185 o.16 o. I46 o.~29 O. lr3 0.098 0.083 069 0.056 3~ 32r.29, 262 236 9r.I7.15o'133.116:oo 085 o7i.o58 329.29 269 243:96.I7.I54.136.1~9:03 088 o73.059 3~ 338.3o~ 276 249 ~o~.17.158.I4O.I22:off 090, 075.o61. 4 347.3~, 283 256 ~o6.18.162.I44.126:08 092 077.o62 I TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 44 VALUES OF THE LEVEL CORRECTION, ]3b. Between 315~ and 85~ the Correction has the same sign as the Constant; between 275~ and 303~ Argument' Zenith Distance South. it has the opposite sign. For reflection observations the sign is reversed. 85~ 84~ 83~ 82~ 81~ 80~ 79~ 78~ 77~ 76~ 75~ 74~ 73~ 72~ s. s. s. s. s. s. s. s. s. s. s. s. s. s. s. o.41 0.052 o.o6I 0.069 o.o78 o.o86 o.o94 O. lO2 o. ro9 o.117 o. I24 o.132 o.138 o.145 o. I51.42.053.062.o7I.o8o.088.097.IO5.112.12o.i27.i35.142.148.155 ~ 43.054.064.073.082.090.099.lO7.115.123.13o.I38.145.I52.I59 ~ 44.055.065.074.084.092.lOt.11o.II7.126.133.I4I.148.155.162 ~ 45.057.067.076.o86.094.lO4.ii2.i2o.129.I36.~44.I52.159.i66,[15o 70~ 69o 68o 660 650 640 ~$7o 620 O1o 60o 590 58~ o.41 ~$$o o 7 o. I64 o.17o o.176.~82 o. I87 o. I93 o.198.204 0.209 o.214 0.220 0.225 0.230.42.t6i.i68.I74.i8o.i86.i92.i97.2o3.2o9.2i4.22o.225.23o.236 ~ 43.I65.I72.I78.I84.I9O.196.2o2.2o8.2r4.2i9.225.230.236.241.a4.I69.I76,.i82.189.i95.2oi.207.213.2iq.224.230.236.24I.247 ~ 45.I73.I8o.I86.193.I99.205.212.218.224.229.235.24I.247.252 56~ 54~ 52~ 50~ 46~ 44~ 42~ 40~ 38~ 36~ 34~ 32~ 30~ o.41 ~18~ o.240 0.249 0.259 o.268.278 0.287 0.296 o.305 o. 314 0.323 o.332 o.341 0.350 0.359 ~ 42.246.255.265.275.285.294.303.312.322.331.340.349.359.368 ~ 43.252.261.272.282.292.3Ol.31o.320.329.339.348.358.367.377 ~ 44.257.268.278.288.298.3~8.318.327.337.347.356.366.376.385 ~ 45.263.274.284.295.305.315.325.335.345.355.364.374.384.394,38~ 26~ 24~ 22~'30~ 18~ 17~ 16~ 15~ 14~ 13~ 12~ 11~ IO~ o.41 o.369 0.378 0..387 o.397 o.407 o.417 o.422 o.428 0.433 o.439 o.444 o.449 o.455 0.461 378.387.397.407.4~7.428.433.438.443.449.473 ~ 455.46o.466 ~ 387.396.406.417.427.438.443.449.454.460.466.471.477.484.396.406.416.426.437.448.453.459.465.471.4J7.482.488.495 ~ 405.415.425.436.447.458.464.469.475.482.487.493.50o.506 9~ [8~ 7~ 6~ 5~ 4~ 3~ 9~ 1~ Oo 359~ 3580 3570 3560 0.467 0.473 0.480 0.485 o.492 o.498 o.506 o.512 0.520 o.527 o.534 o.542 o.55o o.558 ~ 479.485.491.497.504.51o,518.525.533.540.547.555,563.571.49~.496.503.509.516.522.53o.538.545.553.56o.568 576.585.502.508.515.52r.528.534 -543.550,558.565.S'73.582 59~.599.513.519.526.533.540.547.555.562,57I.578.586.595 603.612 3,55~ 354~' 353~ 352~ 351~ 350~ 349~ 348~ 347~ 346~ 345~ 344~ 343 342' o 41 0.567 0.575 0.585 0.594 0.604 o.614 0.625 0,636 0.647 0.659 0.672 0.686 0.699 o.7~4 42.580.589.599.609.619.629.64o.65r,663.675.688.702.717.73r 43.594.603.613.623,633.644.655.666,679.69~.705.719.734.749 44.608.617.627.638.648.659.670.682,695.708.721.736.751.766 45.622.631.642.652,663.674.686.698,71~.724 ~.738.752.768.783 341~' 340~ 339~ 338~ 337~ 336~ 335~' 334~ 333~ 332~ 331~ 330~ 329~ 328' o 41 0.730 0.746 0.763 0.782 o.8oI 0.822 0.845 0.868 0.894 0.922 0.953 0.986 1.o23 1.o62 42 748.764.781.8Ol.821.842.865.890,QI6 o.945 0.976 1.OLO 1.o47 1.o88 43 765 783.800.820.840.862.886.91r.938 o.967 o.999 1.o34 1.o72 1.114 44 783 8oI.8r9.839.86o.882.9o6.9~2.96o 0.990 1.o23 1.o58 1.o97 1.14o 45 8Ol 819.837.858.879.902.927.953.981 1.oI2 1.o46 I.o82 1.122 1.166 3270;~ o 324o;23~ ~ 321~ 320~ 3;19~ 318~ 317~ I' 315~ 303~ o.41 1.Io7 ) 1.273.344 1.519 1.631 1.763 1.925 2.127. 2.726 2.175.42 1.134 ) 1.3o4.376 1.557 1.67r!.8o6 1.972 2.179 2.793 2.228 ~ 43 1.I61 ) 1.335.409 1.594 ~.711 1.849 2.oI9 2.230 2.859 2.28I ~ 44 1,188 1.366.442 1.631 1.75o 1.892 2.o66 2.282 2.926 2.334 I ~ 45 1.215 1.397.475 1.668 1.79~ 1.935 2.ii3 2.334 2.992 2.387 302~;l~ 299~ ~98~ "' 296~ 295~ 294~ 293~ 292~ ~ 290~ 289~ o.41 1.81r t 1.157 toI9 o.8o7 0.722 0.649 o.585 o.529 o.433 o.392.42 1.855 5 I.I85.o44.827.739.665.599.542.444.402 ~ 43 1.899 7 1.213.069.846.757.681.613.555.455.412 ~ 44 1.943 ) 1.241.093.866.775.697.627.568.465.42I ~ 45 1.987 ~ 1.27o.118.886.7~92.712.642.580.476.43I 288~ ~' 285~ 184~ ~' 282~ 281~ ~180~ 279~ ~ 278~ 276~ 275 o.4I 0.355, ) 0.262.235 o.189 o.166 o.147 o.129 o. III 0.079 o.o64 ~ 42.364.268.24r.193.171 lql I32.114.o8~.o6d 43 ~ ~.373.275.247.198.175 I54 135.117.083.o6~ ~ 44.38~ ~.28I.253.202.179 158 138.1~9.085.o6c ~ 45.39o ).288.258 1232.207.183 162 14~.I22.o87.o7c TABLES OF INSTRUM~;NTAL CONSTANTS AND COgRgCT!ONS, 45 VALUES OF Tt!E LEVEL CORRECTION, B~, Between 315~ and 85~ the Correction has the same sign as the Constant; between 275~ and 303~ Argument' Zenith Distance South~ it has the opposite sign. For reflection observations the sign is reversed, I I 85~ S~~ $3~ 82~ S1~ ~O0 ~O~ ~S~ ~7~ ~ gO~ ~5~ g~~ ~3~ g2~' S. S. S. S. S. S. S. S. S. S. S. S. S~' S. S. 0.46 o.o58 0.068 o.o78 0.087 o.oQ7 o. Io6 o.115 o.123 o.132 o. I39. o.148 o. I55 o. I62 o.17o 47.059 [.070.079.089.o99.io8.II7,.125 [.I34.I42.I51.I58.i66.I73 I 48 ~ I37.I45 I.I54.177.060.o71.o8r.o91.ior.iio.1io.128 [.162.169 ~ 49.062.073.083.093.lO3.I13.i22.I3~ [.I4o.I48 [.I57.165.173.I8r 5o.063.074.o85.o95.IO5.II5.I24.I43.151 ~I34.I6o.I69.I76.184 gl~ [ gO~ 69~ 65~ OS~ O6~ 65~ 61~ [ 63~ 62~ 61~ 60~ 59~ 58~ r I 0.46 o.177 o.184 o.19o o.197 0.204 o.2ic o.216 0.223 0.229 0.234 ~'241 o.247 0.252 0.258 I ~ 47.18o.188.I95 ~2oi.208.214.22i.227 ].234.239 {.246,252.258.264.48.I84,i92.i99.205.2i3.21c.226'232 ['239'244 ~25I.257.263.269 / ~ 49.188.i96.203.2io.217.224.23o.237 [.244 ~249 ] ~256.263.260.275 0.46 0.269 o.28o o.291 o.3ol o.312 0.322 0.332 0.342 0.352 0.362 0.373 0.383 o.393 0.403 ~ 47.275.286.297.3o8.3I9.329.339.350!.360.370 [.381.39~.401.412 ~ 48.28r.292.303.314.325 ~336.347.357 |.368.378 /'389.399.41o.420 ~ 49.287.298.3Io.32r.332.343.354.365 [.375.356 ].397.408.418.429 5~.292.304.316.328.339.350.36I.383.394.372/.405.416.427.438 / 0.46 o.414 0.424 0.435 0.446 0.457 0.468 4 0.480 0.486 0.492 0.498 0.504 o.51I o.517 ~ 47.423.433.444.455.467 ~478.484.49o [.496.5o3.509,515.522.528 ~.48.432.443.454.465.477.489.494.5o7.533.540.514.526.5Ol | [.520.49.51I!.524 ].53I.537.544 ~55r.44I.452.463.475.487.499.505.517 ~ 50 ~450.46I,472.484.496.509.515.528.~22 / I.542.548.555.562 9~ $~ 7~ 6~ 5~ ~~ 3~ 1~ 359~ 358~ 35g~ 356~ 0.46.~5 0.524 o.53I 0.538 o.544 0.552 0.559 0.567 0.575 | 0.583 o.59I | o.599 0.608 o.616 0.626 47.536 542.550.556.564.57~.579.588 ].596.604.612,62r /.630.639 ~ 48.548 554.562.568.576.583.59r.600!.609.6r7 /.625.634.643.653 ~ 49.559 565.573.580.588.595.604,612 [.62I.630 [.638.648.657.665 50.570 577.585.592.600.6oS.616.642.625 I.634.652.661.670.680 / o.46 0.636 0.645 656 0.667 0.678 0.689 o.7oi o.713 ] 0.720 0.740 | 0.754 o~769 0.785 o.8ol 47.649.659 670.68r.692.704.716.728 I.742.756 [ ~770.786.802.818 48.663.673 684 ~695.7o7.719.731.744 I.758.772 /.787.803.819.836 49.677.687 699.7Io.722.734.747.774.853.760.788 /.8o3.8~9.836 50.69r.7oz 713.725.737.749.762.79~.804.820.836.853.870.775 [ a41o 34oo ~oo asso ~ao ~o6o ~oso ~aao o~eo/ aa~o ~ooo ~eoo aeso 0.46 aoao i o.8I9 0.837 856 0.877 o.899 o.922 0.948 0'974 / I'~~3 1.o35 / 1'~69 i.io6 1.147 1.~92 ~ 47.837.855.875.896'9~8 o'942 ~'968 ~'995 / I.O25 I.O58 [ ~.o92 1.I3O I.I72 1.218.48.854.874.893.9~5.938 0.962 0.989 1.oo7 / I.O47 ~.o8o 1.116 1.~54 1.197 1.244 / ~ 49.872.89~.9I2.935.957 0.982 ~.oo9 1.o28 [ ~.o69!.IO2 1.~39 I.I78 1.222 ~.27o ~ ~ 50.890.9~o.930.954.977 I.OO2 ~.o3o I'~9~ I.I25 / I.I62! 1.2o2 1.247 1.296 I.O49 / 327~ 3~4~ 323~ 2~~ ~1~ 3~O~ 31' 31~~:gig~ 316~ 315~ 303~ / o.46 1.242 I'428 1'5~7 598 705 I'83~ / 1.9 2.I6o 2.386 2.675 3.059 2.440 47 ~.269 1.459 1.54o 632 742 1.87o 2.0 2.207 2.438 2.733 3.~25 2.493 / ~48 ~.296 ~.49o ~.573 667 779 ~.49o 2.~, I'9~9 2.0 2.254 2.792 3.I92 ~6 / 49 1.323 1.52I 1.6o6 702 8~6 1.949 ] 2.1, 2.3oi z.542 2.850 3.258 2.599 ~ 50 1.350 1.552 ~.639 737 853 1.989 2.I 2.348 2.594 2.908 3.325 2.6152 ~2~ ] 299~ 29~0 ~~ ~~ 29~~ ~9 29a''~92~ ~91~ 290' 289 / c3r 1.298 1.I43 o~4 905 o.8IO | 0.7 0.656 o.593 0.537 0.486 0.440 e76 1.326 1.I68 036 925.828 [.670 606.548.497.450 12o J x.355 1.I93 o~8 945.845 ] i.684 6I9.560.507.459 I64 1.383 x.218 o8o 964.863!.699 632.572.518.469 208.J 1.41~ 1.243 IO2 984.880..713 645.584.528.478 ~S~ 255~ 28~~ ~~ ~ ~2~ 251~ 2~' 299~ 2~S~ 27g~ 2~6' 295 ~9 0.294 0.264 237 o 212 o.187 o.I~ o. I44 o.~25 o. Io6 0.089 o.072 37 3o0.27o 242 216'19I i.148.127 I.lO9.o9~.073 16 307,276 247 22r.~95 I.15I.I3o.1II.093.075 1 25 3~3.281 252 225.~99 I.I54.~33.113.095,076 434 32o.287 258 230 ~203 I ~.I57.136,II6.096.078 TABLE III. CO L L I MAT I O N. 48 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS~ VALUES OF THE COLLI~ATION CORRECTION, ~~. Between 315~ and 85~ the Correction has the Argument' Zenith Distance South, same sign as the Constant; between 275~ and 303~ it has the opposite sign. 85~ 81~ 83~ S2~ Sl~ SO~ ~9~ ~8~ ~6~.75~ 74~ 73~ 72~ _........ m tI s. s s, s. s, s. s. s. s. s. s. s. s. s. o.or o.o~4 oo14 o.or4 o.o~4 o.o~3 ~ [ o o~3 o.o~3 o.o~3 o.o~3 o.oT3 o.oi2 o.o~2 o.o12 o.o12.o2.o29,o28.o28.o27.o27 [.o26.o26.o26.o25.025 [.o25.o24.o24.o24 ].03.o43.o43.042,o41.o41 ].040 o39.039.038.038 I.037.o37'.036.o36 I.04.058,o57.o56,055.054 I.053 052.052.o5r.050 I.oso.049.o48.048 I,o5.072.o7~.070.068.o67.066 065.064.064 I.062.o61.060.o6o/.o631,,o,oo O.OI O.O12 O.O12 O.O12 O.OI1 O.OII O.OII OII O.OII O.OII O.OII O.OII O.OII O.OII O.OII oloo.02.024.023.023.023.023.022 022.022.022.O22 I.O2I.O2I.O21.O2I ] ] 03.036.035.035.034.034.O34 034.033.033.033 I.033.032.032.032 I /.04.o47.047.046.046.045 I.045 045.o44.o44.044 [.043.043.043.042 /.05.059.058.058.057 056.055.055.o57(.o56.o54.053.os3/ 56~.o54/.o54 5~o 5~o 5oo ~so ~oo ~[~~ 4~~ aoo aso / 36~ a~o 32~ 3o~ O.OI 0.010 0.010 O.OIO O.OIO O.OIO 0.010 010 O.OIO 0.010 0.010 O.OIO O.OIO O.oIO O.OIO i.02.O21.O2I.O21.O20.020.020,020.020.020.020 I.020.020.020.020 / ~ 03.032.O3r.O31.O3r.O31 /'030,030.03~.030.030 [.030.030.030.030 ~ 04.042.O4I.o4r.o41.o41.o4o,040.040.040.040 [.040.040.040.040 /.05.o52.o52.o51.o51.o51.o5o,o5o.050.050.050 /.o5o.o5o.o5o.o5I / 28~ 26~ 24~ 22~ 20~/18~ 16~ 15~ 14~ Jl*~ 13~ 12~ 11~ 1~~ 0.0I 0.010 0.010 0.010 O.OIO O.OIO [ O.OI[.01I 0.011 O.OII 0.0II O.OII 0.0II 0.0II O.OII.02 /.020.020.O21.O21.O2I [.O21.O2I.022.022.022.022.022.023.023 ~.03.O3I.O31.O3I.O3r.032 [.032.032.033.033.033 [.033.034.034.034.04.O41'.o4I.O4r.042.042 [.043.043.043.044.044 [.045.045.045.046 05.O5I.o51.052.052.o53 ~54.054.O54.055 [.o56.056.057.057 9o So 7o 6o 50 3o ~o lo 359~ 3580 357~ 356~ o.o1 / o.or2 o.o12 o.or2 o.oi2 o.oi2! o.oI2 o.o12 o.o12 o.oi3 o.oI3 [ o.or3 o.oi3 o.oI3 o.o14.o2.o23.o23.o24.o24.o24.o24 025.o25.o25.o26!.o26.o26.o27.o27 /.03.034.035.035.036.036 [.036 037.037.038.039 [.039.04o.040.o41.04.o46.047.047.048.048 |.049 049.oqo.o5I.o51 [.052.o53.054.055.05.058.058.059.060.060 /.o61 062.o52.o63.064.065.066.o67.o68 a**~ / a'a~ 8*a~ aa2~ oal~ a*o~ a~9~ o4s~ a~*~ ~4~~ 345~ 34~~ a~a~ 342~ / o.oI o.o14 o.o14 o.o14 o.o15 o.o15 o.o15 o.o16 o.o16 o.o16 o.oI7! o.o17 o.o17 o.o18 o.o18.02.028.028.029.029.030.03~.o3I.032.o32.033 [.034.035.036.o37.03.042.042.043.044.045.o46.047.048.049.050 [.o5r.052.o54.o55.04.056.057.058.059.o6o.o6I.o62.o63.065.066.068.070.o71.073 ~.05.o69.070.072.073.075.076.078.079.o81.083.085.087.o89.o9r ~ 341~ 350~ 339~ 335~ 337~ 336~ 335~ 334~ 333~ 332~ 330~ 329~ 328~ o.o~ O.Ol9 o.or9 0.020 o.o2i o.o2I 0.022 0.023 0.024 0,024 0.025 0.028 0.029 o.o31.02.038.039.040.o41.042.044.045.047.049.o5~.056.o58.o61.03.o56.058.060.062.064.066.0~8.o71.074.077.084.088.092.04.o75.077.080.083.085.o88.o91.095.o98.lO2.1ii 117.i22.05.094.097.ioo.lO3.lO6.1io.ii4.118.i22.127.I39 I45.I53 327~ 326~ 325~ 325~ 328~ 322~ 321~ 320~ 319~ 318~ 316~ 315~ 303~ o.ot o.o32 o.o34 o.o36 o.o38 o.o4r o.o44 o.o48 o.o52 o.o57 0.063 o.o81 o.o94 o.o97.02.064.068.072.077.082.088.o95.Io4.I14.126.I62 i88.I95.03.097.lo2.lO8.I15.123.I33.I44.156.172.19o.243 282.293.04.I29.I36.~44.154.I64.I77.I91.208.228.253.324 377.39o.05.161.I7o.18o.i92.205.220.238.260.285.3x6.404 470.487 ~2~ 301 300~ 299~ 2980 ~9~~ 296~ 295~ 294~!293~ 291~ 290~ 289' o.or >83 0.065 o.o58 0.053 0.048 o.o45 0.042 o.o39 0.036 0.032 o.o31 0.029.02 o.o7~ I67.~4.129.lr6.~o6.097.090.083.078.073.065.062.o59.03 251.219.195.I75.~59.146.~35.125.117.11o.098.093.088.o4 334.292.259.233.212.~94.18o.~67.156.I46.138.I3o.I24.II8.o5 416.364.323.291.265.243.224.2o8.195.183.172.163.I54.I47 18~ 287~ 286~ 285~ 254~ 283~ 282~ ~~1~ 280~ 279~ 27~~ 277~ 276~ 275 o.oi o28 o.027 0.026 o.o25 o.024 0.023 0.022 o.o2I o.o2I 0.020 O.OLC o.oi9 o.o18 o.o18.o2 osfi.o54.o5r.049.048 046 044 043.o41.o4c.o3~.038.037.036.o3 084.o8~.o77 074.o71 069 067 064 062.o6c,o5c.057.o55.054.o4 112.IO7.lO3 099.095 092 089 086 083.o8i.o7~.o76.o74.o72.o5 I4c.I34.I28 I23.ii9 iI4 iio lO7 lO3.IOC.o9~.o95.o92.o9o TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 4 VALUES OF THlE COLLIMATION CORRECTION, Cc. Between 3r5~ and 85~ the Correction has the Arguiment: Zenith Distance South. same sign as the Constant; between 275~ and 3033~ it has the opposite sign. 85~ S4~ 83~ ~ 20 Sl~ SOO 790 78~ 770 760 750 740 730 2 S. S. S. S. S. S. S. S. S. S S. S. S. S. o.o6 0.0S 8 82 o.o8I o.o8o o 79 0.07 ~7 ~75 0.074 0.073 0.073 0.072 o-O7 O-S.8.0.7.7.IO1 o99 ~ ~ ~~~~o96.095.o90.92.o9o.o8 9.o88. 8.o86.08 84.Os II1 III.II0.108 106. I05.IO1.02.I00. 9.098. 0 7 o 96.09.128 0 I258 123.121.120.118. 116.114 I3 12.II0.109 10O7 o.1029.1 15 I444 I142.3 137.135.133.131.2.27.I2.2.12.I21.119 710'00 8 690 66~ 65~' 640 63~ 620 61~ 600 590 58o 0.6o.o 700069 0.071 0.070 0.0670.066 o.o66 0.065 0.065 O.0o64 0.064 0.063.07.83 o 082 o 01.8o.079.079.078 i.077.077.076. o6.075.075.074.08 1.095.094 o 092 o 91 o 0r.090.089.088.o88.087.087.o86.085.085.09.io6. 1o5 lO4TO3 Io 2 Io[ 10.9.098.098.07.96.096.095.IO -.IS 1.17 ii6 1I4. Ii3. II2.III. rio I.IO. l9og0.0.10i6.io6 560 540 520 50~ 48~ 46~ 440 42~ 400 38~ 360 34 ~ 32~ 30? o.o.o84.o63 o.o62 o.o62 o.o 8 1 o.o81 o.o~o o.o~o 080.o~o.o~o 0.6.o~o O. oor 0 o 09.o 9.9.o92.092.o91. o9r.09 0.o9o. o9o.o9o.090. 090 i 9,.0991 IO 10I4 I102 Il O[.I00.1O0.I00 I00.I00.I0 i.1OI IOI'28~ 260 240 220 200 1 8~ 1'~ I6 15 14~ 1 130 1 2 ~ 1 I0~ o~~o~r 0.062 o~o61 0.063 0.063 0.0640.6 o.o 6 5 006 0.06 0.06o.67 o.068 o 069.07.o~~~r 072.072.073.074.075.075.076.o7 077.078.079.7 80 08.o8r.o82.083.084.085.o86.o86. o87.o88.o88.o9. o9o.o9o ogr:o9.092.092.0~ o4.95.o96.o90.98.098,099. IOO.1ot.lO2 lO03 IlO.102.Io3. IO.1o5. iO6. O.io8.lO9.lOg. 1o. I1I. 12.II3 xII4 9~~~~~~~ 8o 7 6~0 5 4~ 3~0 2 1o0 359~ 3 58) 3570 3 56~ 0.o6 o.o69 0.070 oor0.072 0.072 0.073 0.074.75 I.076 0.7 0.078o79oo8oo8.07.o8r.082.082.083.084.085.086.088.089.09o.o9r. 093.094.096.08.092.093 094 ~to95. 096.098. 099. IOO.I0 or IO3.104.io6.io8.Io9 ~ o9.lO4.l5 l O6. IO7.lO8.IIO.III.314.ii6.II 119.I2I.123 I10. 115 it II6 ii8. 119.120.122. 123.25.7.128. 130.132.134.136 355~ 354~ 3530 352~ 3510 350~ 3490 34S~ 3470 346~ 345~ 344~0 343' 342~ 0.06 0.084 0.085 0.086 0.088 0.090 o9 0.0931 0.0 9 0.1097O O.O.IO2 o. o O.lO OI O.07.097 I. I 099.l.0o2.lO4.lO7. l9I1i 14 ii6. 119.122.I25.128 O08 III. II3.II5. II7.II9.122.I24.127.130.133.136.139.143.147.09.125.12 I.29.132.134.137.140.143.146.149.153.157.i6i i65.Io I19 i622.lO.13 9 ~ ~~~~~~~~~~~.144 4 l9.152 15.159.12.1 6.7o 1I74.I78 i83 3410 3400 339.~ 338~ 3370 3360 335~ 3340 333~ 332~ 331~0 3300 329~ 32S~ 0.06 O. lI3 o.ii6 0.120 o. i24 o.128 o. I32 o 16 o.14 o. 4o.5o.9o.I67 o.I75 M84.07.132. 136. 14o. 144. 149.154.15 15 I2.79.I8 195. 0.08.151.T5 i6o i64..170.175.182. 189 I.i96.204.213.222 11.233.244 ~ o9. T69.174.179. i85'I.191.198.205.212.220.229.239.250.262.275 lO0.188.19419.2o6.212.220.227.236.245 25 266 I 278.29I1 306' 3270 3260 325~ 3240 3230 3220 3210 320~ 3190 31S~ 3170 316~ 315~ 3030.o6 0.193 0.204 o6 o.3z046.265 0.286 0.1.343 o.38o 0.426 0.486 0.564 c 585.07.226.238.252.269.287.309.334.364.400 -.443.497.566.659.682.08.258.272.288 I1.307.328.353.382. 416.456.506. 568.647.753 -78o.09'.290. 36.2 5. 4. 3 9. 9. 3 0 4851.569.639.2.847.877 IO~ ~~ ~~3.325.34o.369o.397.430.468414.2.IO.322.340.360.384.410.441.477. 519.570.632.7o 808.940.974 3020 501~ 31000 2990 298~ 2971, 2960 295~ 2940 2930 2920 2910 2900~S9 5~ TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. Cl ~~~~~~~~~~~~~~~~~~~~Between 315~ and 85~ tihe Correction has the Argument' Zenith Distance South. same sign as the Constant; between 275~ and 303~ it has the opposite sign. 8~~ S4~ Sao 820 SOO80 79 ~ 78~ 7170 76 ~ 750 74~) 7 ~ 720 s. s. s. S. s. s. s. s. s. s. s. s. s. s. s. o.1i o. I59 o.1I56 o 153 o.15 I.48 o.1I46 o. I44 o.1I42 0.140 o. I38 o. I36 o. I34 o.1I33 0.131.12.I73.170~~~~ i67. I64. I62.159. I57. 55 152. 150. 1 4.147.145.4.13.187. i84 I18I.178. I75. 172.170 i6 i65 i63. I6i.I59.157.155.14.202. 198 I95. 192.189 i86.183 i80 I78.176.173.17I.169 i67.15 6.216.209.2o26.202 I9196 93 9 1.188 i86 183 8 7 710 700 (90 68~ 67~ 660 65~ 64~, 63~ 620 61~ 60~ 590 58~ o. II o10o.126 12 0.2.125 o.124 0.122 o.121 0.120 o.119 O.ll9 O. 18 o. o.o.16 1I2.142.140 I39.137 I136.135.134.132.131.130 I29.129.I28.127.13. I53. I52 15o.49.147. I46. 145.143.142. I41 4.14o39.138.3.14.i65.Ii63 I6 I60 I59.5 7. i56. I5. 5 I52.IS 5 I4.4.15. 177 I7.17573. I72. I70.I8.67.6 64 i6 62 i6i. i6o. I5 5 540 52~ 50~ 48~ 46~j 44~ 42~ 40~ 8~ 60 30 32 0 0 II 0.115 0I4.II3.I2 0.III 0.I O. IIO C.I OIo.IIO O.11 oI0 0.III OII 12.26. T24.12. 122. 122. 12I.120.120 I20.120.13. I6I35 133 I1 32 I3023.3 ~~~~.14 I57.1 1 3 IO. I5 152 O 51.1 5 -IIO IIO.50.5 -I(.15 22 S 11 260 240 220 200 ISO 170 160 150 ~~~~~140 120.120 1 10 ~~~~~~~~~~~~~~.12 3 I2.121 3 o I4I 28 2 30 13 132 I33.134. 1362 I3 14~~~~~ I145.144014.142.14 147 4 o 1 o 1 {.4 4 1I5.153.154.154. 3 1 5.I57.151 15io i62 i63 15i i7 6.1512 908~7 260 4~2 0 ~ 1 1 ~ $~ 4 M OI2 0.121 0.130 0.131' 0133 o. I315 o.I36 o.139 O.I ll94 c 5 0oir:o.2o16 I.134 93.I3.138.140 135I.143 - 16.147.139.14o1452 -I94 i46 i6 i648 1 4.14!. 514 I3 5.157 148 i5o. i562 i5. i67. I70.1572.6 15.1 5. 1, 1 I 7.I8.o.1263 64.6.175. 8.77 I 4.i62. i63 i6S i67. If9.171. I73.175.177.18o.183.18. 1.15. I73.1 i 1 7 I9.81.183.185.188,19o.19. i96.t98.202 3550 354~ 3530 3520 350 50 3490 34S~ 3470 3460 3450 3440 3430 342' o.II 0-I53o.155 0158 oii O.li 67 o.i6 OI71 0.174 0.178 o.i82 o.187 o. I9I o.1I96 o.2ol.i2. I67. I69 I72 1 I76.179 i83. I86. 19o.195'.I99.204.2o8.214.220.13.i8o. I84 i87 Igo.ic94.198.202.206.2I1.2t6.221.226.232.238.14.194. 198 201.205.2)9.21 3.217.222. 227.2312.238.243.29o.256 -I5.2o8.212.216 220.224.228.233.238 I 243. 249.255. 6i.2827 341~ 140 390 38 3' 330 36~ 35 3340 333~ 32 3310 330~ 3290 328~ 0.TI 0.27 0.2I3.219 0.26 0.234.24I 0.20 0.259 0.269 028 0.292 0.305 0.320 0.336.12.226 23 239.247.255 263.27 283.294.o 9 -3 39.6 13.245 25 259.267.2716.285.29 306.318 3I 345.361.378.9 ~ 14.263 27 279.288.29}7.307.310. 3 3 37.38.4o7.28 I-.357.372 2 938.38 39.340.37 -I5.262.290.299.3o8.3IS -329.34I qc~j.367.382 -399.417.436.458 3270~26 3 25~0 3240 3230 322~3 3200 3190~1S 3170 3160 3150 3030 O-ll 0.354 0.37 396 0.422 0.451 0485 0o2.57I 0.627 o65 0.780 o.889 I.o34 I.O7I i12.386.408.33.460.492.529 57 623.684 o 78.85I 0.970 1.I28 1.1r~9 ~ 13.418.442.469.33 573 62 675.741 82 0.922 I-051I1.222 1.266 I14.451.47 5o5.537.574.617 68 727.798.85 0.993 1.132 i.316 I.36 1I5.483 5I 541.576, 615.662 75 779.855 1 98.o64 1.212 1.410 I.46i 302~ 301 3000 2990 298~ 2970 2960 295~ 2940~93 292~ 2910 290!289~ o.TT n ~l r,' 1-1 -IT.916 A.o o.11 - Qn CI'IA -AIV "A QI 0.4 o.8 53 0.9 0.458-0.428-D _0.7 o.35 o.4 o.323 TABLE OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 51 VALUES OF THE COLLIMATION CORRECTION, Cc. Betwveen 3I5' and 850 the Correction has the C Ar-ument: Zenith Distance South. same sign as the Constant; hetween 275' and 3030 Q it has the opposite sign. S511 SI S30 520 SIO SOO 719 7so 770 760 750 740 7 33 720 5. 5. s 5 s. 5. 5. 5. 5. 5. 5. 5. S. 5. 5. 5. o.i6 0.231 0 227 0.223 0.219 0.216 0.212 0.209 0.206 0.203 0.201 0.198 o. 96 0.193 0.I9I.17.245.241.237.233.229 1.226.222.2I9.216.213.210.208.205.203.I8.260.255.251.247.243.239.235.232.229.226.223.220.2I7.2I5.19.274 I 269.264.260.256.252.248.245.241.238.235.232.229.227.20.288.283.278.274.270.265.26I.258.254.25I.248.244.242.239 710 700 690 680 670 660 650 64' 630 620 610 600 590 550 oi6 0.189 0.187 0.185 0.183 oi~i o 0.i8o 0.178 0.177 0.175 0.174 0.173 0.172 0.170 0.69.17.20I.199.197.194.193.191.189.188.i86.185.183.182.i8I.I80.i8.212.210.208.206.204.202.200.199.197.196.194.193.192.190.19.224.222.220.217.215.213.212.210.208.207.205.204.202.201.20.236 1.234.231.229 2.227.25.223.221.219.217 2213.212 560 i540 520 500 4S 1460 440 420 400 350 360 340 320 300 o.i6 o.167 o.i66 0.164 0.163 0o.62 o.i6i o.i6i o.i6o o.i6o o.i6o o.i6o o.i6i o.i6i 0.i62.17.178.176.175.173.172.171.171 I.170.170.170 170.171.171.172.18 i88 i86.185.183.182.i8i.181 1o0.i8o.i8o.i80.18I.I8I.182.19.199.197.195 194.I92.192.Ig9.Ig9.190.190.190.191.191.192.20.209 i.207.205.204.203.202 201.200.200.200.200.201.201.202 2s" 260 210 220 200 I 18 170 160 15 110 130 120 110 100 o.i6 0.163 0.164 o.066 0.167 0.169 0.171 0.172 0.174 0.175 0.176 0.178 0.179 o.I81 0.183.17.173.174.176.178.180.182.183.185.i86.187.189.19I.192.194.i8.183.8 86.188 Ig9.193.194.195.197.198.200.202.204.205.19.193.195.197.199.201.203.205.206.208.209.211.2T3.215.217.20.204.205.207.209.211.214.216.217.2I9.220.222.224.226.228 90 80 70 60 50 40 32 10 00 3590 3550 3570 3560 o.i6 o.185 o.i86 0.188 0.191 0.193 0.195 0.197 0.200 0.203 0 206 0.209 0.212 0.215 0.218.17.196.198.200.202.205.207.210.212.215.218.222.225.228.232 18.208.210.212.214.217.219.222.225.228.231.235.238.242.246.19.219.221.224.226.229.232.234.238.24r 244.248.25I.255.259.20.231.233.236.238.24I1.244.247.250.253.257.261.265.269.273 3550 3540 353" 3520 3510 3500 3490 34S0 347 346 3450 3440 3430 3420 o.i6 0.222 0.226 0.230 0.234 0.239 0.243 0.248 0.254 0.259 0.265 0.272 0.278 0.285 0.293.17.236.240.244.249.254 i.259.264.270.276.282.288.295.303'.311.i8.250.254.259.263.269.274.285.292.298.305.1313.32I.330 9Iq.264.268.273.278.283.289.295 1.30.308 315.322.330.339.348.20.278.282.287.293.298.304.310.3I7.324.332.339 3.357.366 341" 3400 3390 33S0 3370 3360 3350 3340 3330 3320 3310 3300 3290 32S0 o.i6 0.301 0.310 0.319 0.329 0.340 0.351 0.364 0.377 0.392 0.408 0.425 0.444 0.465 0.489.17.320.329.339.350.361.373.386.401.416.433.452.472.495.519.i8.339.348.359.370 1.382 j ~.395.409.424.441.459.478.500.524.550 I19.358.368.379.391.403.417.432.448.46)5.405 I 528.553.580.20 1.376.387.399.4II.425.439.455.47I.490.510.531.555.582.6ii 3 27 0 3260 3250 3210 3230 3220 i 3210 3200 3190 3180 3170 3160 3150 3030 o.i6 0.515 0.544 0.577 o.614 o.656 0.706 0.763 0.831 0.912 1.011 I1.35 1.293 I.504 1.558 17.547.578 6T31.652.698.750.8u.882 0.969 I.074 I.206 I1374 I598 i.655.i8.579.612.649.691.739.791.858.934 I.026 1.137 1.277 i.455 1.692 1.753.19.611.646.685.729.780.838.906 0.986 1.083 I.20I I1347 I.536 I.786 1.850.20 1.644.68o. 721.767.821.882.954 I.038 1.140 1.264 1.418 1.607 I.88o 1.948 3020 3010 3000 2990 2980 2970 29 2950 2940 2930 2920 2910 2900 2S90 0.16 i.333 ii65 1.035 0.931 0.846 0.776 0.717 o.666 0.622 0.584 0.550 0.521 0.494 0.470.17 1.416 1.238 1.100 0.989 0.899.825.762.708.6i 621.585.553. 525.499 iS 1. 500 1.311 1.16 1.048I 0_S.952.S7.86 750.700.657.619 I.S8.556 ~2,19 I.5S3 io3S~ 1.229 IO 1.I005.922.791.739 ~1 G.6i8.57 529.20 i1.600 1.I456 129 1.164 1.58.70.896.833.778.730.688.6jr.617.588 2SS0 i 287" 2S60, 2S50 2840 2830 2S2~" 2810 2800 27~~90 27t80 2770~ 27~60 2750 oi6 0.448 0.429 0.411 0.395 0.380 0.366 0.354 0.342 0.331 0.321 0.312 0.303 I 0.294 0.287.17.477.416.437.420.404.389.376.363.352. 341. 33 1.322. 313.305 iS.505.482.463.444-.4128.412.398.385.372.361.350 j.341.331.323.19.533.509.488.469.451.435.420.406.393.381.370 I.359.350.4.20.56i. 536.514.494C.475.458.442a.427.414 40.389.378.368.359 52 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF THE COLLIMATION CORRECTION, Cc. i ~ ~ ~ ~ ~ ~ ~ ~ ~ ~~~~~~~~~~~~~~~~~~~Between 315~ and 85~ the Correction has the z Argument: Zenith Distance South. same sign as the Constant; between 275~ and 303~ it has the opposite sign. 850 S4~ 893~ 82~ 1 ~ 80~s 79~ 78~ 1770 176~ 750 740'730 720 S. S.S S. S. S. S. S. S. S. S. S. S. S. S. 0.21 0.330298 0.292 0.288 0. 283 0.27 o74. 7 I0 6 7.63.26o 0.257 0.254 0.251.22.317. 312. o6.301.297.292. 288.284.280.276.272.26 9.266.263 ~ 23.33 326. 2o0 31.305;. O9.292.288.285.285.278.275 ~ 24.346.340 -33.29.323.318.314.309.305.301.297.293.290.287 ~ 25. 360.354.348.342.337.332.27.2.318.3043o.o.302.9 1 710 70~, 69~, 6S~ 67~ 660 650 610 630 620~ 610 600 59~ 58~) O.21i 0.248 0.245 0.243 0.240 0.238 0.236 0.234 0.232 0.230 0.228 0.227 0.225 0.224 0.222.22.26o.257.254.252.249.247.245.243.2411.239.237.236.234. 233 ~ 23.2 7 269.266.263 -265.258.256, 254.252.250.2,48.247.245.243 ~ 24.283.280. 277.2-75.272.270.267.265.263.26i.'259.258.256.254 ~ 5.295, 292.289.286.283.28I.278.276.274.272.70.6.2624 560 540 520 50~ 48~ 460 440 420 400 38o 360 340 32~ 300 O.2I 0 ~-220 0.218 0.216 0.214 o.2i3 0.212 0.21I 0.210 0.210 0.2I] 0.210 0.21I 0.21I 0.213.22.230.228.226.224.223.222.221.220.220~.220.220.221.222.223 ~ 3.241.238.236.234. 233.232.23I.230.230.230.230.23I.232.233 ~ 4.251.249.2 4.245.243 2 4 24.4o2o.2.2o24.242.243 ~ 25.26I. 259.257.255 I.253.252.251.250.250.250.250.25I.252.253 28~ 260 240 22~0 ~ 1 i~ 170 160 15~ 140 130 120 11~ 0 0.21 o.214 0.215 0.2I7 o.219 0.222 0.225 0.226 0.228 0.230 0.231 0.234 0.235 0. 238 0.240.22.224.226.228.230.233.235.237.239.241.242.245.247.249.25~1 2 3234.23 6. 3.240.243. 4. 4 8. 0.5253 256.258.60.3 ~2 64.244.246.248 2I24.257.259226.253.264o6.269. 7 2 37 ~ 5.244.257.259.261.263.26.7 0.7.24.274 28.8 2 3. 8 O.24 6 0.248 25 254 0.264 7 0.267 0.269 0272.254 ~ ~~ ~~~~ ~ ~ ~ ~ 6 0.259 0.26T 2& 0.268 O 270 0 21.274 0.27 8 0.2 80 0.2 83.25.2425 6 2 9. 6 25. 6.275.2852923.8. 9 26.0 90 so6 268.7.7427.80. 24282I26.00.04 39. ~ 25 288 291.294.298.3oI 35 0 053 8 3 2 1 7 2 I26.3.36.4 355~ ~4~ 353~ 352~ 351~ 350~~~0 30 349~ 4 3570 356~ 4~34 4~32 0.242 o.91 297 0.3256 1 0.25.13o 39 0.3262 0.266 0.270 038 0.282 0.287.22.2054 3.256.25 3262.326 275 3I.279.28 36.287 3. 3.92.0 ~ 23 I.3 265.268.3271.274.277.280.284.288.2I.296.300.34.39 42I4.24.3300 304.45I308 36 ~3I3.318.323.3940.17428 3.25. 3 7 330.30536.73380.38 -396.407.4 4.326.433.336.341 35 340~ 353 8 350 357~ 336~00 390 34S~-40 3 346~40 344~ 33 343 3420~ o.2I 0.291 407.4297 0.4302 0.3046 I 0.4619 0.326 0.333 0.3240 0.5348 0.3568 0.365 0.374238.22 30.311 42i6.4339.3412.3467.4357.3659.373.383.392.6403.7.2- 3I.43245.330.3373.3438.3505.365 4 2.739.400.6410.429.70.24.33346.339.3459 3I.35I O 35 327 5 4 381 539 38 6 471I7 1.28.439 ~2 3470 4 353.359.366.3731 490 388 5396 625.44.24 6437 6446 - 341~ 3200 3390 324~ 3370 3360 335~ 334~ 3330 338~ 33107~ 0 3290 323~ 02 06765 0.471O4I 0.431 0.446 046 0.477 0.495.24 0.535 1.oo 0.597 0.627 o.6489.708 I.7426.439 3. 45 0.0 0.4670.o48 9 5.14 2.2549 1.39~ 1.56o 2.0 68 2.672 ~70.783.433.8.445.o45.o973 I.I48 I0.53I I 54 4586 1.63 2.I639 2203 ~~~~~~~~~~~~1.572 8 6. 6 9 Io 9 5 Io8 II4 I2 6 I36 1.i 1.o 2.2669 33.24 045.465o.49o.9493 5I0 2.5o27 I 926 I56 598 1.425..7738 2.666.694 33 I175o 1.539 1.358 1.222 I.III I OI~~6 1.59 O 4.67.6.22 0.637 0.6 4 O.67 1.916.685.484 1.499 1.51 14 6 I 031 0.595.80.664.694.7 8 641 1.99 9 17.7485 79 1.844 0.93 0970 1.2oI64 1045099 1.9342 1.876 2o6.8 2.1427o 2.083 1.84o 1.617 I ~~0.947I32 2 I3 I I-09 I o941 I-2 931 I8 o845.77 o.289 0.56 S654.921 0.499 o.458 I 0.464 1.246 0.4368 I514 1.702 1.9409 2.256 2.337 ~ 25.804.6Ifi.591 9598 I.46 I.I27 08.192 I.2 I42 I50 I773 2.021 2.448 243542.1.24.673.643.657.592.57~~~~~~~~0.o.30.1 47.8 474442.3.02305 00?.7ot.67c. 642.617.594-.29.52.30.5~7 29.5O,:7 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS, 53 VALUES OF THE COLLIMATION CORRECTION, Cc. cl, Between 315' and S0 the Correction has the same Argument: Zenith Distance South. sign as the Constant; between 275' and 3030 it has o the opposite sign. S50 S40 S 3' S20 SIOS SO0 790 7SO 770 760, 750 740 730 721, S. 5. S. 5. 5.. S 5. 0.26 0 375 0.368 0 362 0 356 0.350 0.345 0.340 0.335 0.330 0.326 0.322 0.318 0.3I4 0.310.27.389.383.376.370.364.358 *353.348.343.339.334.330.326.323.28.404.397.390.384.377.372.366.361.356.351.347.342.338.334.29 418.4II.404.397.391.385.379.374.369.364.359.354.350.346.30.433.425.418.4II.404.398.392.387.38I.376.37I.367.362.358 710" 7901 690 OS0 670" 660 6 50 610 630 620 610 600 5590 550 0.26 0.307 0.304 0.301.297 0.294 0.292 0.289 0.287 0.285 0.283 0.280 0.279 0.277 0.275.27.319.3I5.312.309.306.303.30I.298.296.293.291.289.288.286.2 330.327.324.320.318.314.312.309.307.304.302.300.298.296.29.342.339.335.332.329.326.323.320.318.3I5.313.31I.309.307.30.354.350.347.343.340.337.334.331.329.326.324.322.320.317 560 540 520 590 450" 460 440 420 490 350 360" 340` 320 390 0.26 0.272 0.269 0.267 0.265 0.264 0.262 0.261 0.261 0.260 0.260 0.260 0.261 0.262 0.263.27.282.280.277.275.274.272.27I.271.270.270.270.271.272.273.28.293.290.288.285.284.282.281.281.280.280.280 ~.281.282.283.29.303.300.298.296.294.292.291.291.290.290.290.291.292.293 -30.314.31.3Os.306.304.302.301.30I.300.300.300.301.302.304 2S0 260 240 220 290 iSO 170 160 15 1 40"P~ 130 120 P110 190 0.26 0.265 0.267 0.269 0.272 0.275 0.278 0.280 0.282 0.284 0.287 0.289 0.291 0.294 0.297.27.275.277.279.282.285.289.291.293.295.298.3c0.303.306.308.28.285.287.290.293.296.300.302.304.306.309.3.3.317.320.29.295.298.300.303.306.310.313.315.317.320.322.325.328.331.30.305.308.310.314.317.321. 323.326.328.331.334.336. 340. 343 90 50 70 60 5 400 30 20 10 90 111) 3590 3550 3570 i 3560 0.26 0.300 0.303 0.306 0.310 0.313 0.317 0.321 0.325 0.329 0.334 0.339 0.344 0.349 0.355.27.312.325.318.322.325.329.333.338.342.347.352.357.363.369.28.323.326.330.333.337.341.346.350.355.360.365.370.376.382.29.335.338.342.345.349.354.358.362.367.373.378.384.390.396.30.346.350.353.1357.36.366.370.375.380.386.391.397.403.340 3550 3540 3530 3520 3510 3590 3490 3480 3470 3460 3450 3440 3370 3420 0.26 0.360 0.367 0.374 0.381 0.388 0.395 0.404 0.425 0.421 0.433 0.441 0.452 0.464 0.476.27.375.31.388.395.403.432.439.428.438.448.458.470.482.3494.28.389.395.402.400.418.426.435.444.454.464 6475.487.500.513.29.403.409.37.3425 3.433.441 j.450.460.470.481.492.504.517.531.30.416. ~424. ~431.439.4434 4.34 9.35. 358.3497.509.522.535.549 3410 3490 3390 3350 3370 3360 34350 334 3330 3320 3150 3390 3290 320" 0.26 0.489 0.503 0.378 0.535 0.552 0.573 0.591 0.613 0.646 0.662 0.691 0.722 0.756 0.794.27.5o8.523.538.555.573.593.614.636.671.688.747.750.785.825.28. ~527.542 39 3.58.576.5941.645.636.66o.695.743. 744.477. I.855.29.546.409.578.259.433.637.659.684.720.739.772.8o5.844.886.30 F.565.54. 598.67.637.658.682 6 707.744.764.797.833.873.916 3270 3260 3250 3240 3230 3220 3210' 3320 3390 3180 33170 3160 3590 3930 0.26 0.837 0.884 0.937 0.998 1.067 0.147 1.240 o.350 o.482 1.643 1.844 2.122 2.444 2.532.27. 086o 0.918 0.973 1.036 i.io8 1.193 1.287 1.402 1.539 1.706 1.915 2.182 2.538 2.629.28.57 0.952 1.009.074 1.5494 1.235.6335 1.453 1.596 1.769 I.986 2.263 2.632 2.727.29.94633 0.6 1.045.596.10 1.279.383 1.505 1.653 1.873 2.057 2.344 2.726 2.824.30.965 2.082 1.615 1.237.323.6430.7557 1.740 4.896 2.728 2.425 2.820 2.921 3920 3910 3990 2490 2980 2970 2910 3250 2940 2930 2920 2910 2990 2830 0.26 21166 39I3 1.682 2513 375 1.262 8 0.8 0..27.8649 0.9I8 (7 1.36 I5 i.io8 1.1I I28 I-402 I'539 I 7o6 0 9I5 2A82 2 0538 2.629 1.31 1.10.124 1.050 0.986 0.929.879.833.793.28 2.333 2.059 I.8ii 1.630 1.481 1.359 1.254 i.466 1.089 I.023 i 0.963.263.8642.823.29 2.41 o 2.938 1.876..688 1.534 1.407 1.299 1.208 1.128 1.053 3 0.998.944.895.852.30 2.499 2.204 1.940 1.746 1.587 1I.2456 I344 I5249 1.67 1.096 1.032.97625 2.82.88I 302880 2870 286 2850 2840 2830 2820 2810 2890 2790 2780 27710 2760 2750 0.26~ 0.739 0.697 o.668 0.642 o.6i8 0.595 0.575 0.556 0.538 0.522 0.506 0.492 0.478 0.466.27.757.724-.694.666.4.6i8.597.577.559. 542.526.51I1.497.4841.28.785.750.720.691.665.641.619.598.579.562.545.530 1.515.502.29.813.777 F.745.716.689.604.61.620.6oo.582.545.59 534.520.30 i..841.8042.77 1.740.1.687.663.641.621.602.584.568.552.538 54 VALUES OF THE COLLIMATION CORRECTION, (;c. Between 315~ and 85~ the Correction has the same Argument: Zenith Distanice South. sign as the Constant; between 275~ and 303~ it has o the opposite sign. S.S. S. S. S. S. S, S. S. S. S. S. S. S S. 0.I 0.447 0.439 042 0.425 0.417 0.411 0.405 0.40 0.9.89 03403903407 ~ 32 0. I 96.46i ~ 45 445.438.431.425.418. 4I2.407.401.396I39.387.382 ~ 33.476.468.459.452.445.438. 43I -425. 419.414.409 403. 399.394 ~ 4.4~.2.73.46.458. 45I.444. 438.432 42642145. 411 -4o6 ~ 35.505.496 ~~~~.487.480.472.464.457. 4 1. 445.439.433. 428. 4 341 TI~ TO~ 69~ 68 ~ 67 660 650 640 630 620 610 600 59~ 58.0O o-I.366 0.362 0.358 0.355 032 0.348 0.345 0.342 0.339 0.337 0.334 0 332 0.330 0.328.32:.378.374. 370.366.363.359.356.353.350.348.345.343.341.339.3.389.385 3I. 7. 7 4. 7. 38. 4. 6 1.359 I 356 -354 -351.349 ~ 34. 4Ol.397. 393.389.386.382.379.375.372.370.367 3 -64.362.6 ~ 35 ~~ ~~~.41409 -405 I.400.397.393. 39~ 3 6. 830.378375 3.7 56~ 54~- 520 50~ 48~40 4 4:2~ 40~ 35~ 360 340 32~ 0 0.1 0.324 o.-3'21 o.3i8 o.3i6 o.3r4 0o1.3 031I o.3To 03o 0.310 o 31 o 31 3.32 o.33 33i39o30.32.335.332.329 ~~~~.326.324.33 32 321.320 202 0 0. 21.32 4.33.345.342.339.336.334.33.3 331.330 I 330.330.331.332 -3.34.356.352.349.346.344.33.4 341.340.340.340.341.342.4.35.366.363 -359.357.355.33.5 351.350.350o.350.351. 352.5 o.3I o.3i6 0.318 0.321 324 0.328 0.32 0 34 0337 0.339 0 342 0.345 0.348 o 351 0o5.32.326.328.331.334.338.342 34 48.350 -353.356.359 36 2 36 ~ 33.336 -339.342.345. 349.35 36 358 -36i 364.367.370 34 37.3 346.349.352.355.359.34 36 369.372.375.378. 8 I 385 38 35.356.359.362 3 6 30.80.38 86' 39.32396.400 9~ 8 ~ 0 6~0 5 40 3~ 2 ~ 1 ~ ~ 359~ 358~ 357 0 356~ o.31 0.358 o.361 0.365 0369 0.374 0.378 0.38-3 0.388 0.393 0.398 0.404 0.410 o 4I7 0.423 ~ 32.370.373 77.381.386.390.395.400.405 -41I.417.423 430.437 ~ 33 38I 84 ~~~~~389 393.398.402 -407.I2. S.424.430. 437.444.50 ~ 34.392.396.401.405.410 -4I4.420.425.431. 437.443 -450.457.464 ~ 35.404 408.412 41~~~~-47.422.427.432.438.443.450 46434o.7 355~0 3540 353~ 52 341539~34~ 34403 3430~ 342~ 3520 3510 3500 3434S2~7 36 0.31 0.430 0 438 0-.445 0.454 0.463 0o./ o.48I 0.492 0.503 0.514 0.526 0.539 0.553 0.568.32.444.452. 460.468 [47'8149 58.1 5I.4 55 5I.8 ~~~~~~~~~~~~.4773.497.05.89.3.543.56589.860 ~ 33 ~~~~~.45466.474.483.492 502.512.523.535.547.56 574 6 o ~ 34.472 -480 489. 48. 07.517.528 53 5r. 64.77.96c623 ~ 35 ~~~~~.48494. 53 -5I2.522.532.543.555 56 7 580.59 60964 4 3410~ 3400 3390 33S~ 33T~ 336~ 335~ 334~ 333~ 332~ 3310 3300 3290 32S~ 0.31 0.583 o.6oo o.6i8 o.637 o.658 o.68o 0.705 0.731 0.759 0.790 0,824 o.861 o.902 0.947 ~ 32 6 0 6 2 38.658.679.7o2. 2 54.783 8 5.850.88 o 93I0.7.33.62I.639.658.678.701.724.750.778.808. 84I.877 I.91.6c 1o 8 ~ 34.640.658.678.699.722.746.773.8Ol.832.866.903.944 o.98c I.o39 ~ 35.659.67~~~~~~8.6 8 7I9.743.768.796.825. 857.89 93o.972 1.oI8 I.O69 ~3270 326~ 3250~ 324~ 3230 3220 3210 3200~ 319~ 1~3T 316~ 3150 3030 0.31 0.998 I-054 1.i18 I.189 1.272 1.367 I.7.691769 1. 9 2.198 2.566 2.914 3.oi9.32 I. o ~. o88 2.2613 -54 1.228 I.313 I1.411 1.526 i.661 1.824 2.022 2.6.587 3.0o8 3.116.33 I~o6 I.I22 II90 I.26 I-354 1I455 I.573 I.713 I.881 2.085, 2. 34 2.667 3.102 3.214.34 1. 9 1.61.2 1.305 1.395 I.499 1.6 i765 1.938 2 48.4I ~.748 3.196.1 ~ 35 I.i26 I.19o 1.262 II6 3430 1.343 I-436 I-544 ~ I 817 I 995 2 1.482 2.8293.9348 3020 301~ 3000, 29~ 28 9~26 9~ 24 9~ 22 9~200 289~ 0.3~~~~~~~~~~~~~1 29.58 257 oo.8o 19.64 19.5o 3 95.29 2064 I932 1.6 2oo80.7 o.9101 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 55 VALUES OF THE COLLIMATION CORRECTION, Cc. Between 315~ and 85~ the Correction has the Argument' Zenith Distance South. same sign as the Constant; between 275~ and 303~ it has the opposite sign. ~ s s s s s s s 0.36 o.5I9 o.5Io o.5oi o.493 o.485 o.478 o.47I 0.464 o.458 o.45r 0.446 o o.435 o.43o ~ 37.534.q24.515.507.499.491.484.477.470.464.458 147.44,2.38.548.538.529.52I.5I2.504.497.49~.483.477.470.464 [59 39.451~.562.553.543.534.526.518.51o.503.496.489.483.477 [71.4~.40.577.567.557.548.539.53I.523.516.5~8.5~2.495.489 ~83.478 ~ 71~ IO~ 69~ 68~ 67~ 66~ 65~ 64~ 63~ 62~ 61~ 60~ 59~ 58~ o.36 0.425 o.420 o.416 o.412 0.408 o.4oL o.4oi o.397 0.394 o.391 o.388 0.386 0.383 o.38I ~ 37.437.432.428.423.420.4I<.412.4o8.405.4o2 -399.397.394.39I.38.448.444.439.435.43I.42;.423.420.416.413.41o.407.405.4o2 ~ 39.460.456.45I.446.442.43~.434.431.427.424.42Y.418.415.413.40.472.467.462.458.454.44~.446.442.438.435.432.429.426.423 56~ 54~ 52~ 50~ 48~ 44~ 42~ 38< 36~ 34~ 32~ 30~ 0.36: O.377 0.373 0.370 0.367 0.365 o.36I O.36I O.36. O.360 o.36~ 0.363 0.364.37.387.383.380.377.375.37I.37I.37'.370.37I.373.374 ~ 38.397.394.39~.387.385.382.38I.38.380.382.383.385.39.408.404.4oi -397.395.392.391.39.39~.392.393.395 ~ 4o.4~8.414.41I.408.405.402.4or.40.4o0.4o2.403.405 28~ 26~ 24~ 22~ 20~ 17~ 16~ 14' 13~ 12~ 11~ 10~ 0.36 0.366 o.36~ 0.373 0.376 o.38I 0.388 0.391 0.39 0.400 0.404 0.408 o.411 ~ 37.377.38c.383.387.391.399.402.4o.4.II:,4.I5.419.422i.38.387.39c.393.397.402.4Io.413.4I.423.426 ~430.434 ~ 39.397.400.404.408.412.420.424.43.434.437.44I.445.40.407.41o.414.418.423.43r.434.44.445.448.453.457 9o 8o 7~ 6~ 5~ 4~ 3~ 2'o 1o 0o 359~ 358~ 357~ 356~ 0.36 o.415 o.419 0.424 0.429 0.434 0.439 0.444 0.450 0.456 0.463 0.469 0.476 0.484 o.49] ~ 37.427.43I.436.44I.446.45I.457.462.469.475.482.49~.497.505.38..439.443.448.453.458.463.469.475.48I.488.496.503.51I.510 ~ 39.450.454.459.464.470.475.48I.488.494.5oi.509.516.524.53~ ~ 4o.462.466.47I.476.482.488.494.500.507.514.522.529.538.546 3,55~ 354~ 353~ 352~ 351~ g50~ 349~ 348~ 347~ 346~ 345c 344~ 343~ 342 0.36 0.500 o.5o8'.517 0.527 0.537 0.548 0.559 o.57I 0.584 0.597 o.61i 0.626 0.642 o.65c} ~ 37.514.522.532.542.552.563.574.587.600.613.628.643.660.67i7 ~ 38 527.537.546.556.567.578.590.603.616.630.645.66i.678.696 ~ 39 54I.55I.56o.571.582.593.6o5.619.632.647.662.678.696.40.7I~I 555.565.575.586.597.608.621.634.648.663.679.696.7~4.73: 341~ 340~ ~39~ 338~ 337~ 336~ 335~ 334~ 333~ 332~ 331~ 330~ 329~ 328 o.36 o.678 o.697.718 o.74o o.764 o.79o o.8~8 o.849 o.881 o.917 o.957 I.ooo I.o47 i.lOO ~ 37.696.716.738.760.786.812.84I.872.9o6 o.943 o.983 r.o27 I.o76 I.I3o.38.715.736.758.78I.807.834.864.896.93o 0.968 i.OlO I.O55 I.Io5 i. I6J ~ 39 734.755.778.8oi.828.856.886.919.955 o.994 I.o36 I.o83 I.I35 I.I9I ~ 4o.753.774.798.822.849.878.9o9.943.979 I.~I9 I.o63 I.Ili r. I64 1.222 327~ 326~ 25< 324~ 323~ 322~ 321~ 320~ 319~ 318~ 317~ 116~ 315~ 303 o.36 I.I58 1.224 298 1.38I 1.477 I 588 i 716 1.869 2.052 2.275 2.553.9to 3.384 3.5o6 ~ 37 I.I9I 1.258 334 1.42o 1.518 I 632 i 764 1.92I 2.Io9: 2.338 2.624.99I 3.478 3.603.38 I 223 1.292 370 1.458 1.559 I 676 I 812 1.973 2.I66 2.4oi 2.695.072 3~572 3.7o0 ~ 39 I 255 1.326 406 1.496 i 60o i 720 I 86o 2.024 2.223 2.464 2.766.I52 3.666 3.798.4~ i 287 1.36o 442 i 535 ].641 I 764 I 907 2.076 2.280 2.528 2.837.233 3.76o 3.895 302~ 300~ 298~ 297~ 296~ )5~,4~ 293~ 292~ ~91~ 290~ 289~ 0.36 2.999 2.328 1.9o5 1.747 1.613 499 4oi x.3r5 1.239.171 ],]]1 I.o58 ~ 37 3.082 2.393 1.958 1.795 1.658 54I 440 1.35I 1.273.2o4 1.142 I.o87.38 3.I66 2.458 2.Oli 1.844 1.7o3 582 479 1.388 1.3o8.236 t. I73 i.]~6 ~ 39 3.249 2.523 2.o63 1.892 1.748 624 517 1.424 1.342.269 1.2o4 I.I46 ~ 40 3.332 2.587 2.II6 1.94I 1.792 666 556 1.46I 1..376.302 1.235 I.I75 288~ 286< 284~ 283~ 282~ ~1~ ~O~ 279~ 278~ 277~ 275~ 0.36 ~76~ I.oo9 0.925 0.855 0.824 0.796 769 745 0.722 o.7ot o.68I.663 o.645 ~ 37 I.o37 o.95I.879 847 818 79~ 765 742 72o.70o 68I.663.38 I.o65 0.977.903.870.840 812 786 762.74o.7Iq 699.68i ~ 39 I.O93 1.oo2.926.893.862 833 807.782 759.738 718.699 ~ 40 I.I21 I.o28 950 916.884 855.828..8o2 779.757 736.717 56 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. VALUES OF TIlE COLLIMATION CORRECTION, Cc. Between 3~5~ and 85~ the Correction has the Argument' Zenith Distance South. same sign as the Constant; between 275~ and 303~ it has the opposite sign. 85~ 84~ 83~ 82~ Sl~ SO~ 79~ 78~ 77~ 76~ 75~ 73~ 73~ 72~ S. S. S. S. S. S. S. S S. S. S. S. S~ S.;4I o.59~ o.58I o.57I 0.562 0.553 0;544 o.536 o 523.5oi o.495 49~ o.52~ 0.508 o o. o.514 42.606.595.585.575.566.557.549.54r.534.527.520.513.507.5or 43.620.609.599.589.580.57r 562.554.547.539.532.525.519 513 44.634.623.6t2.603.593.584.575.567.559.552'.545.538.532.525 45.649.638 ~626.617.607.597 588 580.572.564 ~557.550.544.537,1~,0o 69o 6so 6,o 66o 65~ 6ao 6ao 62~ 61o 69o 59~ 5so o.4r o.484 o.479 o.474 o.469 o.465 o.46o o.457 o.453 o.449 o.446 o.442 o.44o o 434.42.496.49~ o.43~.486.48o.476.472.468.464 ~460.457.453 450.44 444 ~ 43.507.502.499.492.488.483.479.475.47r.467.464 46r.458 455 44.519.5t4.509.503.499.494.490.486.482.478.472.47~ 466 45.53I.526.52o.515.[io ~505.5or.497 ~493.46~.489 48 482.47 476 56~ 53~ 52~ 50~ 36~ 33~ 32' 30~ 38~ 36~ 3~~ 32' 30~ o.4I o.429 0.425 o.42r 0.4r8 5 o.413 o.412 o.41 o.4Io o.4Io o 4Io o 412 o.413 42 o~r.439.435.43r.428.425.423.422.42.420.420 420 422 42~ 43.450.445.,44I.438 436.433.432.43.430.430 430 432 43 ~ 44.460.456.452.448 446.444.442.44.440.44o 440 442 44~ 45.47r.466.462.459 456 -454.452.45.450.450 450 452 45 28~ 26~ 24~ 22~ ~O~ 7~ 16 15~ 11~ la~ 12~ 11~ o.4r o.417 o.42I 0.424 o.428 ~ 433 442 0.44 o.449 0.452 0.456 0.460 0.464 42 I.428.43r.435.43Q 444 453.45.459.463.467.47r.475 ~ 43.438.44r.445.449 455 > 464.46.47o.474.478.482.487 ~ 44.448.45~.455.460 465 ~ 4~4.47.48t.485.489.403.498 5o2 ~45.458.462,466.470 476 ~ 485.48.492.496.500.504.509 514 O~ S~,~ 6~ 50 a~ ~o 1~ o~ 359~ 358~ 35~~ 356~ o.4r o.473 0.478 0.483 0.488 o.494 ) 506 o. sr o,519 o.527 0.535 o.542 o.55~ 0.560 42.485.489.495.500.506 ~ 518.52.532.540.548.556.564.573.43.496.5or.507.SIZ.518 53r.53.545.553.56r.569.578.587 44 }.5o8.5~3.5~8.524.530 543.55.557.565.574.582.59r.6or ~ 45.519.524.530.536.542 ) 555.56.570.578.587.595.605.6~4' 355~ 354~ 353~ 352~ 351.~ t9~ 338 317~ 346~'315~ 344~ 3~3~ 342~ o.4r 0.569 0.579 0.589 0.600- o.612 ~ 636 0.65 0.665 0.680 0.696 o.713 o.73r o.75I 42.583.593.604.6~5.627 639 652.66.68r.696.713.730.749.769 ~ 43.597.607.618.63o.642 654 667.682 697.713.730.748.767.787 44.6rr.62i.632.644.656 683 698 713.73o.747.765.785.806 45 669'.625.635 647.659.67r 684 698.7~4 729.746.764.783 803.824 331~ 340~ 339~ 33~~ 337~ 336~ 335~ 333~ 332~ 0.772 0.794 o.8t8 0.843 0.870 o~9oo 0.932 0.966 I.o45 813.837.863.892 0.955 0.99o ~ 43.8o9 832.857.884.913 0.977 I.oI4 852.877 I.ooo I.O37 87I.897 ~33~ 331~ 330~ 329~ 328~ o.4I ~.oo4 I.o89 I.I39 I.I93 1.253 ~ 42.79~.922 ~.O28 1.O70 I.I~6 I.I66 1.222 1.283 ~ 944 ~.O53 ~.O96 ~.~43 ~.~94 ~.25~ ~.3~4 ~ 44.828.904.934.966 ~.O77 ~.~2r ~.~69 1.222 ~.280 ~.344 45 i.o6i.847 925 955.988 I.IO2 ~ 1.O23 ~.~47 ~.~96 ~.250 ~.309 ~.375 327~ 326~ 325~ ~4~ 323~ 322~ 321~ 320~ ~19~ 318~ 317~ 316~ 315~ 303~ O.4r 319 1.394 1.478 I 682 1.808 1.955 2.128 2.337 2.59r 2.908 3.3r4 3.854 3.993 42 57~ 352 1.428 1.514 6~ I 723 1.852 2.003 2.I80 2.394 2.654 2.979 3.395 3.948 4.090 43 38~ ~.462 ~.550 650 ~ 764 ~.896 2.O50 2.232 2.45r 2.7~7 3.050 3.476 4.042 4.~87 44 4~6 I 496 ~ 586 688 ~ 805 ~ 940 2 098 2.284 2.508 2.780 3.I2o 3.557 4.~36 4.285 45 448 1.53~ ~ 622 7~7 ~ 846 ~ 984 2 ~46 2.336 2.565 2.844 3.I9r 3.637 4.230 4.382 302~ 301~ 300~ ~9 298~ 297~ 296~ 29~~ ~93~ ~93~ 292~ 291~ 290~ 289~ o.4~.4~6 2.985 2.652 386 2.~69 1.989 ~.837.. 1.707 1.560 1.497 ~.4~r 1.334 ~.266 1.2o5 42 058 2 7~7 ~ 499 2.222 2 038 ~ 882 ~.749 ~.634 ~.534 ~.445 ~.367 ~.297 1.234 43 44~ 3 582 ~ ~3~ 2 78r 5c 2.275 2.o86 1.927 1.79~ 1.673 1.57o 1.48o 1.399 ~.327 1.263 ~ 44 3.666 3.204 2.846 5fir 2.328 2.I35 ~.972 1.832 ~.7~2 ~.6o7 ~.5~4 1.432 ~.358 ~.293 ~ 45 3.749 3 276 2 9~ 6~q 2.38~ 2.183 2.o~6 1.874 1.75I ~.643 ~.548 ~.464 ~ 389 1.322 ~SS~ 287~ 286~ 285~ 283~ 283' 282~ 281~ ~SO~ 279~ 278~ 277~ 276~ 275~ o.4r ~.~49 ~.~99 I.O54 1.o12 0.974 0'939 i 0'906 0.876 0.848 0.822 0.798 i o 776 o 755 0.735.42 I.I77 i.i26 ~.o79 ~.o37 o.998 0.962.928.898.869.843 795 773.753 43 8~8 i ~.2o5 ~.~53 ~.~o5 i.o6~ i.o2~ 0.985,95o.9~9.890 863 837 8~4 792.77~,44 1.233 I.I8O I.I3t I.o86 1.o45 I.OO8.972 940.9IO 883 857 832 8~o.789 ~ 45 ~ 26~ 1.2o6 I.I57 I.III x.o69 x.o3o.994 962.93r 903 876 [ 85r 828.807 TABLES OF INSTRUMENTAL CONSTANTS AND CORRECTIONS. 57 VALUES OF THE COLLIMATION CORRECTION, Cc. Between 315~ and 85~ the Correction has the same Argument: Zenith Distance South. sign as the Constant;between 275~ and 303~ it has the opposite sign. ~5~ ~4~ 83~ S2~ S1~ ~O~ 79~ 75~ 77~ [ 76~ 75~ 74~ 73~ 72~ [ [...............,........................ S. S S. S. S. S. S. S. S. S. S. S. S. S. o.46 o.663 o.652 o.64o 63o o.62o o.6Io o.6ol o.593 o.585 o.577 o.569 o.562 o.556 o.54.47 678.666..654 644.634.624.6r4.606.597.589.582.574.568.56r.48 692.680.668 658.647.637.627.619.6io.6o2.594.587.580.573 ~ 49 707.694,682 67I.661.65o.64o.632.622.6r4.6o7.599.592.585.50 721.708.696 685.674.664.654.644.635.627.6I9.651.604.597 71~ 70~ 69~,S~ 67' 66~ 64~ 63~ 62~ ~$5~ 60~ ~9~ 5S~ & 0.46 0.543 0.537 o.532 526 o.~22 o.517.512 0.508 0.504 0.500 6 0.493 0.49o 0.487 ~ 47.555.549.543 538 33.528.524.519.515.5II.507.504.5Ol.497 ~ 48.566.561.555 549 44.539.535.530.526.522.518.515.511.508 ~ 49.578.572.566 q6I 56.550.546.541.537.533.529.525.522.518 ~ 50.59~.584.578 572 67.562.557.552.548.544.540.536.532.529 56~ 54~ 50~ S~ 46~ 44~ 42~ 40~ 35~ 36~'4~ 32~ 30~ ~!~7' o 44 o.481 0.477 o 2 0.469 ~66 0.464 0.462 o.46r 0.460 0.460 0.460 0.462 0.463 0.466 4 492.487.483.479 ~76.474.472.47r.470.470.470.472.473.476 502.497.493.489 ~86.484.482.48I.48o.480.480.482.483.486.5o8.503.499 4Q6.494.492.491.49~.49~.49~.492.493.496.51~ 52.518.554.5~o 556.504.502.5or.500.5oo.500.502.5o4.5o6 28o lso,oo,4o,2o,,o,oo j,,o o.468 o.472 o.476 o.48r 6 o.392.396 o.soo o.so3 o.5o7 o.552 o.516 o.521 o.525 ~ 478.482 486.491 497 1~3.51o.514.518.523.527.532.537 i~7 ~ 489.492 497.5o2 507 14 17.52I.525.529.534.538.543.548 ~ 499 503 507.552 518 524.532.536.540.545.549.555.56o ~28 ~ 509 513 558.522 528 535 39.543.547.55r.556.560.566.571 9~ So,o 6~ io 4o 20 lo Oo 359~ 3~So 35,0 356~ 3o o.53~ 0.536 0.542 0.548 554,.561 o. 68 0.575 0.583 0.591 0.600 0..609 o.618 0.628 ~ 542.548.554.560 566.573.580.588.595.604.613.622.632.642 554.559.565.572 578.585 592.6oo.608.617.626.635.645.655 565.57I.577.584 59~.597.605.612.621.630.639.648.659.669 ~ 577.583.589.596 5o~.6io.617.625.633.642.652.662.672.683 355~ 354~ 353~ 352~ 351 150~ 3419~ 34S~ 3147~ 346~ 345~ 344~ 343~ 342~ 0.638 0.650 o.661 0.673 0.68.7oo o.714 0.730 0.746 0.763 o.781 0.800 o.82I 0.842.652.664.675.688.70.715 729.745.762.779.798.817.838.861 666.678.690.703.7I.730 745.761.778.796.815.835.856.879 680.692.704.757.73.745 760.777.794.852.832.852.874.897 694.706.?i8.732.74.760 776.793.8io.829.849.870.892.916 841~ 340~ 380~ 335~ 38, 136~ 31t5~ 334~ 3:33~ 332~ 331~ 3;30~ 329~ o.46 ~i ~o85~ 0'.866 o.891 o.9i7 0.945 0.97.oio 1.{>46 1.o84 1.126 1.172 1.222 1.277 1.338 47.885.9~o -937 0.966 0.99.032 1.o68 1.5o8 1.151 1.198 1.249 1.3o5 1.367 1.436 ~ 48.9o3.929.957 0.986 1.o5.054 1.o9I 1.131 1.175 1.223 T.275 1.333 1.396 1.466 49.922.949.977 1.oo7 1.o4.076 1.114 1.155 1.2oo 1.249 1.3o2 1.361 1.425 1.497 50.94i.968.997 1.o28 1.o6.o98 1.I36 1.I78 1.224 1.274 1.329 1.389 1.454 1.528 327~ 3~6~ 325~ 324~ 323~ 322~ 321~ 320~ 3;19~ 315; 31.~ ~116~ [115~ 1.48o ~! 40789~ 1.564 1.658 1.765 1.887 2.029 2.:593 2.388 2.622 2.907 3.262 ~.718 1.512 1 1.598 ~.324 1.694 1.8o3 1.928 2.073 2.:241 2.440 2.679 2.970 3.333.799.418.577 1.545 1.632 1.73o 1.842 1.969 2.117 2.:289 2.492 2.736 3.033 3.404 ~.88o 1.512 1.577 1.666 x.v66 1.88o 2.olo 2.16i 2.336 2.544 1.674 2.793 3.~96 3.475.96i.606.772 1.6o9 1.7oo 1.8o2 1.918 2.o51 2.205 2.1384 2.596 2.850 3.16o 3.546 4.042 4.70o 4.869 302c 301~ 300~ 299~ ~95~ 29T~ 295~ 294~ 293~ 292~ 291~ 290' 289~ 3.832 2961 3.346 2.975 2.677.434 2.2:32 2.{ 1.915 1.79o 1.68o ~.583 1.497 1.42o 1.351 3.9~6 3.422 3.04o 2.735.487 2.28o 2.:506 1.957 1.829 1.716 1.617 1.529 1.451 1.38I 3.999 3.495 3.Io5 2.794.54o 2.329 2.151 1.999 1.868 1.753 1.652 1.562 1.482 1.4Io 4.082 3.568 3.169 2.852.593 2.377 2.:596 2.040 1.9o7 1.789 1.686 1.594 1.5'13 1.44o 4.165 3.640 3.234 2.950.646 2.426 2.:240 2.082 1.946 1.826 1.72o 1.627 1.544 1.469 tSS~ ~87~ 256~ 285~ ~84~ 283~ 252~ 251~ 250~ 279~ 275~ 277~ 276' 275~ ~ 289 1.233 1.I82 1.~35.093 1.o53 1.o~7 0.983 o.952 0.923 0.896 0.870 o.847 0.825 ~ 3~7 1.26o 1.2o8 1.~6o.116 1.o76 1.o39 I.oo4 0.972 o.943.915 889.865.843 ~ 345 1.287 1.234 1.185.~4o 1.o99 1.o61 1.o26 0.993 0.963.935 908.884 861 ~ 373 1.314 1.259 1.2o9.I64 1.122 1.083 1.o47 1.o~4 0.983.954 927.9~2 879.4o2 1.34o 1.285 1.234.188 1.I44 1.~o5 1.o68 1.o34 1.oo3.974 946.920 896 8.... 72 Apr. I