MASTER NEGATIVE NO. 94-821 97 COPYRIGHT STATEMENT The copyright law of the United States (Title 17, United States Code) governs the making of photocopies or other reproductions of copyrighted materials including foreign works under certain conditions. In addition, the United States extends protection to foreign works by means of various international conventions, bilateral agreements, and proclamations. Under certain conditions specified in the law, libraries and archives are authorized to furnish a photocopy or other reproduction. One of these specified conditions is that the photocopy or reproduction is not to be "used for any purpose other than private study, scholarship, or research." If a user makes a request for, or later uses, a photocopy or reproduction for purposes in excess of "fair use," that user may be liable for copyright infringement. The Columbia University Libraries reserve the right to refuse to accept a copying order if, in its judgement, fulfillment of the order would involve violation of the copyright law. Author: Wentworth, George Albert Title: Five-place logarithmic and trigonometric tables Place: Boston Date: 1895 : .a»- - i » J -111 riMB I J I -T^jL - - -H . ■ f -r- -1 I qM-%pk\<\i- 1 MASTER NEGATIVE # COLUMBIA UNIVERSITY LIBRARIES PRESERVATION DIVISION BIBLIOGRAPHIC MICROFORM TARGET ORIGINAL MATERIAL AS FILMED - EXISTING BIBLIOGRAPHIC RECORD 485.'"'"''" W48 ' Wentworth, George Albert, 1835-1906. * Five-place logarithmic and trigonometric tables ar- ranged by 6. A. Wentworth, a. m., and G. A. Hill, a. m. Boston and London, Giim & company^ 1895., XX, 75 p. 23J*"". (/»-*«" Plane-and-spherical trigonetnetry and tables.-- Bo s t o n am l"t>ondotv^89§^)- 1842- 1. Logarithms. 2. Trigonometry— Tables, etc. i. Hill, George Anthony, 12— ininf aiitVin? •""■■ joint authoT. Library of Congress O 4— 2SS20 QA531.W48 RESTRICTIONS ON USE: TECHNICAL MICROFORM DATA RLM SIZE: 3>bmm REDUCTION RATIO: 13>X IMAGE PLACEMENT: lA (IIA) IB IIB DATE FILMED: ^-B-q^ INITIALS: ^ TRACKING # : nf>5H gj^ga FILMED BY PRESERVATION RESOURCES. BETHLEHEM, PA. BIBLIOGRAPHIC IRREGULARITIES MAIN ENTRY: Wentworth. Georae Albert Five-place logarithmic and trigonometric tables Bibliographic Irregularities in the Original Document: List all volumes and pages affected; include name of institution if filming borrowed text Page(s) missing/not available: yolume(s) missing/not available: Illegible and/or damaged page(s):_ Page(s) or volume(s) misnumbered Bound out of sequence: X Page(s) or volume(s) filmed from copy borrowed from: University of Rochester pages 44-61 — Other: TRACKING*: MSH01632 FILMED IN WHOLE OR PART FROM COPY BORROWED FROM: UNIVERSITY OF ROCHESTER .^ ^J^^ ^^.- v.^. ^ '^. CJl 3 3 O" O > ?Q a Is N C/5 oi ^-< OONI ID •/. CJl 3 3 > 0,0 o m Q."n CD O •^ o o CO X < N a *-- ^: fi^" .a^ .•v^ a? ** * %? o o 3 3 > o 3 3 a^ Ul .a^^ L% ^. ■V? %5^ O o 3 3 ^O ^f# ■t- ¥o> O P«I5EEE|»E FF lU O^ ~ m H ico K3 N3 00 I In 1.0 mm 1.5 mm 2.0 mm ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghi|klmnopqrstuvwxyz 1234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyzl234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 /% ■^. '^. ^^'%. 2.5 mm ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 f

C CO X TJ ^ m 3D Q m ">>. ^-^^. .« .<< r ^ ■•^ •-^ i= ^ ^ CJl 3 3 cr n > I? M {/J **< 8 o 3 3 Is 8 = M C/) OOfSI s ^^i$mM0M--p''', .' ^ ■■■-■^iPi r-'\ i AN ■^^n 7T r V iT-r w^^' .At Vy 'W- fliHn 4,-4 Ifl « :3.- 3- 1,. jatg -^jr^Sj, -I Js k ^^ i i i I Ail "% ? /^» r^ It t '^= H I T\ 'f J^. / i. 1 v/ i.t .4 Li-i .* .1 '\ a. 'ij^ m^ u Jv*^!£i-:- ^? S^:. LrZ-v*-* :_ . ■"" .. ■ '-Tit- . ■:. ^■^y^^-^^'-'il p •.^i 4 Property of the Statistics Laboratory School of Business Columbia University w^a^ Columbia ®ttibar^ttf^ ' inttjtCttpoe^tDgort LIBRARY School of Business \ w^ FIVE-PLACE LOGARITHMIC AND TRIGONOMETRIC TABLES ARRANGED BY G. A. WENTWORTH, A.M. AND G. A. HILL, A.M= GINN AND COMPANY BOSTON • NEW YORK • CHICAGO • LONDON ATLANTA • DALLAS ^ COLUMBUS • SAN FRANCISCO V ;■ \ INTRODnOTIOK Entered, aocording to Act of CJongress, in the year 1882, by G. A. WENTWORTH and G. A. HILL in the Office of the Librarian of Ck}ngress, at Washington Copyright, 1895, by. G. A. WENTWORTH and G. A. HILL ALL RIGHTS RESERVED 420.4 1. If the natural numbers are regarded as powers of ten, the exponents of the powers are the Common or Briggs Logarithms of the numbers. If A and B denote natural numbers, a and b their logarithms, then W = A, 10^ = B; or, written in logarithmic form, log-4 = a, \ogB=^b. 2. The logarithm of a product is found by adding the logarithms of its factors. For, AX B = 10« X 106 = 10« + ^ Therefore, log{A x B) = a + b = \ogA-^ log B. 3. The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend. Therefore, log — = a — 6 = log J. — log B, 4. The logarithm of a power of a number is found by multiply- ing the logarithm of the number by the exponent of the power. For, A« = (JP")" = 10«». Therefore, log-^l" = an = n log A, 5. The logarithm of the root of a number is found by dividing the logarithm of the number by the index of the root. For, Therefore, y/A = \^ = 10^. etc nthttiKum ^re^322 = 91.226. If the given number is a proper fractiou, its logarithm will have as a subtrahend 10 or a multiple of 10. In this case, before divid- ing the logarithm by the index of the root, both the subtrahend and the number preceding the mantissa should be increased by such a number as will make the subtrahend, when divided by the index of the root, 10 or a multiple of 10. (7) Find the square root of 0.000043641. Page 8. log 0.000043641 = 6.63989—10 10 -10 Divide by 2 (§ 5), 2 )15.63989-20 Page 13. log VO.000043641 = 7.81995 — 10 = log 0.0066062 .-. Vo.000043641 = 0.0066062. li (8) Find the sixth root of 0.076553. Page 16. log 0.076553 Divide by 6 (§ 6), = 8.88397-10 60 -50 Page 13. ^ 6 )58.88397-60 log - ^0.076553 = 9.81400 -10 = log 0.66163 .-. VO.076553 = 0.66163. Exercises. Find by logarithms the value of : 45607 „ 5.6123 1. 31046 2. 0.01987 3. 2.667 0.06786 xu LOGARITHMS. 4. 0.06547 74.938 X 0.05938 6. 4.657 X 0.03467 3.908 X 0.07189* 0.0075389 X 0.0079 0.00907 X 009784* 7. 8. 9. 312 X 7.18 X 31.82 , 619X8.27 X 5.132* 0.007 X 57.83 X 28.13 9.317 X 00.28 X 476.6* 6.65 X 0.0007632 X 0.87654 2.79 X 0.0009524 X 1.46785 / 0.00.S457 X 43l \ 0.005824 X 15.' 387 X 99.2 X 0.00026 724 X 1.38 X 0.00089 3/23: 815 X 29.36 X 0.007 X 0.62487 00072 X 9.236 X 5.924 X 3.0007 / 3.1416 X 0. \ 1.7285 X 0. 031416 X 0.0031416 017285 X 0.0017286 ? I i' TABLE n. 22. This table (page 20) contains the value of the number t, its most useful combinations, and their logarithms. Find the length of an arc of 47° 32' 57'* in a unit circle. 47° 32' 57" = 171177" log 171177 = 6.23344 log \ = 4.68557 - -10 log arc 47° 32' 57" = 9.91901 - 10 = log 0.82994 .-. length of arc = 0.82994. Find the angle if the length of its arc in a unit circle =0.54936. log 0.54936 = 9.73986-10 colog -7, = log a" =6.31443 log angle .-. angle = 5.05429 = log 113816 = 113316" = 31° 28' 36". 11 1 INTRODUCTION. ZIU 23. The relations between arcs and angles given in Table IL are readily deduced from the circular measure of an angle. In Circnlar Measure an angle is defined by the equation arc angle = —- — , radius in which the word arc denotes the length of the arc corresponding to the angle, when both arc and radius are expressed in terms of the same linear unit. Since the arc and radius for a given angle in different circles vary in the same ratio, the value of the angle given by this equa- tion is independent of the value of the radius. . The angle which is measured by a radius-arc is called a Radian, and is the angular unit in circular measure. Since (7 = 2 wR, it follows that -^—2'ir, and ^ = tt. Therefore, B B If the arc = circumference, If the arc = semicircumference, If the arc = quadrant, If the arc = radius, Therefore, tt = 180°, ^ tt = 90°, J tt = 60°, ^77 = 45°, J tt = 30°, j^ TT = 22J°, and so on. Since 180° in common measure equals tt units in circular measure, the angle = 2 tt. the angle = tt. the angle = ^ tt. the angle = 1. 1° in common measure IT = Jq^ units in circular measure ; 180° 1 unit in circular measure = in common measure. TT By means of these two equations, the value of an angle expressed in one measure may be changed to its value in the other measure. Thus, the angle whose arc is equal to the radius is an angle of 180° 1 unit in circular measure, and is equal to , or 57° 17' 45", very nearly. TABLE m. 24. This table (pp. 21-49) contains the logarithms of the trigo- nometric functions of angles. In order to avoid negative character- istics, the characteristic of every logarithm is' printed 10 too large. Therefore, — 10 is to be annexed to each logarithm. On pages 28-49 the characteristic remains the same throughout each column, and is printed at the top and the bottom of the column* ^ I I XIV LOGARITHMS. i But on pp. 30, 49, the characteristic changes one unit in value at the places marked with bars. Above these bars the proper characteristic is printed at the top, and below them at the bottom, of the column. 25. On pages 28-49 the log sin, log tan, log cot, and log cos, of 1° to 89**, are given to every minute. Conversely, this part of the table gives the value of the angle to the nearest minute when log sin, log tan, log cot, or log cos is known, provided log sin or log cos lies between 8.24186 and 9.99993, and log tan or log cot lies between 8.24192 and 11.75808. If the exact value of the given logarithm of a function is not found in the table, the value nearest to it is to be taken, unless interpolation is employed as explained in § 26. If the angle is less than 45° the number of degrees is printed at the top of the page, and the number of minutes in the column to the left of the columns containing the logarithm. If the angle is greater than 45°, the number of degrees is printed at the bottom of the page, and the number of minutes in the column to the right of the columns containing the logarithms. If the angle is less than 45°, the names of its functions are printed at the top of the page ; if greater than 45°, at the bottom of the page. Thus, Page 38. log sm 21** 37' = 9.56631-10. Page 45. log cot 36° 53' = 10.12473 - 10 = 0.1247a Page 37. log cos 69° 14' = 9.54969-10. Page 49. log tan 45° 59' = 10.01491 - 10 = 0.01491. Page 48. If log cos = 9.87468 - 10, angle = 41° 28^. Page 34. If log cot = 9.39353 - 10, angle = 76° 6'. If log sin = 9.47760 — 10, the nearest log sin in the table is 9.47774 — 10 (page 36), and the angle corresponding to this value is 17° 29'. K log tan = 0.76520 = 10.76520 - 10, the nearest log tan in the table is 10.76490 — 10 (page 32), and the angle corresponding to this value is 80° 16'. 26. If it is desired to obtain the logarithms of the functions of angles that contain seconds, or to obtain the value of the angle in degrees, minutes, and seconds, from the logarithms of its functions, interpolation must be employed. Here it must be remembered that, • v w The difference between two consecutive angles in the table is 60". , - Log sin and log tan increase as the angle increases ; log cos and log cot diminish as the angle increases. INTBODUCTIOir. Find log tan 70*» 46' 8". Page 37. log tan 70° 46' = 0.46731. The difference between the mantissas of log tan 70® 46' and log tan 70° 47' is 41, and ^ of 41 = 5. As the function is increasing, the 6 must be added to the figure in the fifth place of the mantissa 45731 ; and Therefore log tan 70° 46' 8" = 0.46736. m Find log cos 47° 35' 4". Page 48. log cos 47° 35' = 9.82899 -10. The difference between this mantissa and the mantissas of the next log cos is 14, and ^\ of 14 = 1. As the function is decreasing, the 1 must be subtracted from the figure in the fifth place of the mantissa 82899 ; and Therefore log cos 47° 36' 4" = 9.82898 - 10. Find the angle for which log sin = 9.45369 — 10. Page 35. The mantissa of the nearest smaller log sin in the table is 45334. The angle corresponding to this value is 16° 30'. The difference between 45334 and the given mantissa, 45359, is 25. The difference between 45334 and the next following mantissa, 45377, is 43, and If of 60" =35". As the function is increasing, the 35" must be added to 16° 30'j and the required angle is 16° 30' 36". »' Find the angle for which log cot =0.73478. Page 32. The mantissa of the nearest smaller log cot in the table is 73415. The angle corresponding to this value is 10° 27'. The difference between 73415 and the given mantissa is 63. The difference between 73415 and the next following mantissa is 71, and ^ of 60" = 53". As the function is decreasmg, the 63" must be subtracted from 10° 27'; and the required angle is 10° 26' 7". Find Exercises. 1. logshi36o 8' 9^. 9. log tfl.Ti 25° 27' 47^ 2. log sin 54° 54' 40^. 10. log cos 56° 11' 67". 3. log cos 43° 32' 31". 11. log cot 62° 0' 4". 4. log cos 69° 26' 11". 12. log cos 75° 26' 58". 6. logta.n32° 9' 17". 13. log Un 33° 27' 13". 6. logUn50° 2' 2". 14. log cot 81° 55' 24". 7. log cot 44° 33' 17". 16. log tan 89° 46' 36". 8. log cot 55° 9' 32". 16. log tan 1°25'66". I f * XVI L0GABITH9CS. Find the angle A if 17. log sin -4 = 9.70075. 25. log cos A = 9.40008. 18. log sin ^ = 9.91289. 26. log cot A = 9.78815. 19. log cos A = 9.86026. 27. log cos A = 9.34301. 20. log cos A = 9.54595. 28. log tan A = 10.52288. 21. log tan ^ = 9.79840. 29. log cot A = 965349. 22. log tan 4 = 10.07671. 30. log sin -4 = 8.39316. 23. log cot A = 10.00675. 31. log sin ^ = 8.06676. 24. log cot A = 9.84266. 32. log tan A = 8.11148. 27. If log sec or log esc of an angle is desired, it may be found from the table by the formulas, ; hence, log sec A = colog cos A. sec -4 = csc^ = cos^ 1 sin -4 ; hence, log esc A = colog sin A. Page 31. log sec 8° 28' = colog cos 8° 28' =0.00476. Page 42. log esc 59° 36' 44" = colog sin 59° 36' 44" = 0.06418. 28. If a given angle is between 0° and 1°, or between 89° and 90**; or, conversely, if a given log sin or log cos does not lie between the limits 8.24186 and 9.99993 in the table; or, if a given log tan or log cot does not lie between the limits 8.24192 and 11.75808 in the table ; then pages 21-24 of Table III. must be used. On page 21, log sin of angles between 0° and 0° 3', or log cos of the complementary angles between 89° 57' and 90°, are given to every second; for the angles between 0° and 0° 3', log tan ^ log sin, and log cos = 0.00000 ; for the angles between 89° 57' and 90°, log cot = log cos, and log sin = 0.00000. On pages 22-24, log sin, log tan, and log cos of angles between 0° and 1°, or log cos, log cot, and log sin of the complementary angles between 89° and 90°, are given to every 10". Whenever log tan or log cot is not given, they may be found by the formulas, log tan = colog cot. log cot = colog tan. Conversely, if a given log tan or log cot is not contained in the table, then the colog must be found ; this will be the log cot or log tan, as the case may be, and will be contained in the table. On pages 25-27 the logarithms of the functions of angles between 1° and 2°, or between 88° and 90°, are given in the manner employed on pages 22-24. These pages should be used if the angle lies between these limits, and if not only degrees and minutes, but degrees, minutes, and multiples of 10" are given or required. INTRODUCTION. xvu When the angle is between 0° and 2°, or 88° and 90°, and a greater degree of accuracy is desired than that given by the table, interpolation may be employed ; but for these angles interpolation does not always give true results, and it is better to use Table IV. Find log tan 0° 2' 47", and log cos 89° 37' 20". Page 21. log tan 0° 2' 47" = log sin 0° 2' 47 Page 23. log cos 89° 37' 20" = 7.81911 - 10. " = 6.90829-10. Find log cot 0° 2' 15".. Page 21. log tan 0° 2' 15 Therefore, log cot 0° 2' 15 // 10 -10 = 6.81591-10 ." = 3.18409 Find log tan 89° 38' 30". 10-10 Page 23. log cot 89° 38' 30" = 7.79617 - 10 Therefore, log tan 89° 38' 30" = 2.20383 Find the angle for which log tan = 6.92090 — 10. Page 21. The nearest log tan is 6.92110 — 10. The corresponding angle for which is 0° 2' 52". Find the angle for which log cos = 7.70240 — 10. Page 22. The nearest log cos is 7.70261 — 10. ITie corresponding angle for which is 89° 42' 40". Find the angle for which log cot = 2.37368. This log cot is not contained in the table. The colog cot = 7.62632 — 10 = log tan. The log tan in the table nearest lo this is (page 22) 7.62510 angle corresponding to this value of log tan is 0° 14' 30". 10, and the 29. If an angle x is between 90° and 360°, it foUows, from formulas established in Trigonometry, that, between 180° and 270°, between 90° and 180°, log sin X = log sin (180° — a;), log cos X = log cos (180° — x) log tan X = log tan (180° — x) log cot X = log cot (180° — x\ ; between 270° and 360°, log sin X = log sin (360° — x)^ log cos X = log cos (360° — x), log tan X = log tan (360° — x)^ log cot X = log cot (360° — x\. nt log sin a; = log sin (x — 180°) log cos X = log cos (x — 180°) „, log tan X = log tan (x — 180°), log cot ic = log cot (ic — 180°)j f 1 1 \ ! ! XVlll LOGARITHMS. The letter n is placed (according to custom) after the logarithms of those functions which are negative in value. The above formulas show, without further explanation, how to find by means of Table III. the logarithms of the functions of any angle between 90° and 360°. Thus, log sin 137° 45' 22" = log sin 42° 14' 38" = 9.82756 - 10. log cos 137° 46' 22" = log„ cos 42° 14' 38" = 9.86940„ - 10. log tan 137° 45' 22" = log„ tan 42° 14' 38" = 9.95815„ - 10. log cot 137° 45' 22" = log„ cot 42° 14' 38" = 0.04185„. log sin 209° 32' 50" = log„ sin 29° 32' 50" = 9.69297„ - 10. log cos 330° 27' 10" = log cos 29° 32' 50" = 9.93949 — 10. Conversely, to a given logarithm of a trigonometric function there correspond between 0° and 360° four angles, one angle in each quadrant, and so related that if x denote the acute angle, the other three angles are 180° —a;, 180° +x, and 360° —x. If besides the given logarithm it is known whether the function is positive or negative, the ambiguity is confined to two quadrants, therefore to two angles. Thus, if the log tan = 9.47451 - 10, the angles are 16° 36' 17" in Quadrant I. and 196° 36' 17" in Quadrant III. ; but if the log tan = 9.47451„- 10, the angles are 163° 23' 43" in Quadrant II. and 343° 23' 43" m Quadrant IV. To remove all ambiguity, further conditions are required, or a knowledge of the special circumstances connected with the problem in question. TABLE IV. 30. This table (page 50) must be used when great accuracy is desired in working with angles between 0° and 2°, or between 88° and 90°. The values of S and T are such that when the angle a is expressed in seconds, S = log sin a — log a", T = log tan a — log a". Hence follow the formulas given on page 50. The values of S and T are printed with the characteristic 10 too large, and in using them — 10 must always be annexed. Find log sin 0° 58' 17". 0° 58' 17" = 3497" log 3497 = 3.54370 S = 4.68555 — 10 log sin 0° 58' 17" = 8.22925 — 10 Find log cos 88° 26' 41.2". 90° - 88° 26' 41.2" = 1° 33' 18.8" = 5598.8" log 5698.8 = 3.74809 S = 4.68552 - 10 log cos 880 26' 41.2" = 8.43361 — 10 f INTRODUCTION. XIX Find log tan 0° 52' 47.5". 0° 52' 47.5" = 3167.5" log 3167.5 = 3.50072 T == 4.68561 — 10 log tan 0° 52' 47.5" = 8.18633 - 10 Find log tan 89° 54' 37.362". 90° - 89° 54' 37.362" = 0° 5' 22.638" = 322.638" log 322.638 = 2.50871 T = 4.68558 — 10 log cot 89° 54' 37.362" = 7.19429 - 10 log tan 89° 54' 37.362" = 2.80571 Find the angle, if log sin = 6.72306 -10. 6.72306 - 10 S = 4.68557 - 10 Subtract, 2.03749 = log 109.015 109.015" = 0° 1' 49.016". Find the angle for which log cot = 1.67604. colog cot = 8.32396 - 10 T = 4.68564 — 10 Subtract, 3.63832 = log 4348.3 4348.3" = 1° 12' 28.3". Find the angle for which log tan = 1.55407. colog tan = 8.44593 — 10 T = 4.68569 -10 Subtract, 3.76024 = log 5767.6 6757.6" = 1° 35' 57.6", and 90° - 1° 35' 57.6" = 88° 24' 2.4". Therefore, the angle required is 88° 24' 2.4". TABLE V. 31. This table (p. 51), containing the circumferences and areas of circles, does not require explanation. TABLE VI. 32. Table VI. (pp. 52-69) contains the natural sines, cosines, tangents, and cotangents of angles from 0° to 90°, at inter- vals of 1'. If greater accuracy is desired it may be obtained by interpolation. Note. In preparing the preceding explanations, we have made free use of the Logarithmic Tables by F. G. Gauss. For Table VI. we are indebted to D. Carhart. TABLE Vn. 33. This table (pp. 70-75) gives the latitude and departure to three places of decimals for distances from 1 to 10, corresponding to bearings from 0° to 90° at intervals of 15'. il LOGARITHMS. If the bearing does not exceed 45° it is found in the lefi-hand column, and the designations of the columns under "Distance" are taken from the top of the page; but if the bearing exceeds 45°, it is found in the W^^^hand column, and the designations of the columns under "Distance" are taken from the bottom of the page. The method of using the table will be made plain by the follow- ing examples : — (1) Let it be required to find the latitude and departure of the course K 35° 15' E. 6 chains. til On p. 75, left-hand column, look for 35** 15' ; opposite this bearing, in the vertical column headed "Distance 6," are found 4.900 and 3.463 under the headings "Latitude" and "Departure" respectively. Hence, latitude or northing = 4.900 chains, and departure or easting = 3.463 chains. (2) Let it be required to find the latitude and departure of the course S. 87° W. 2 chains. As the bearing exceeds 45°, we look in the right-hand column of p. 70, and opposite 87° in the column marked " Distance 2 " we find (taking the designa- tions of the columns from the bottom of the page) latitude = 0.105 chains, aud departure = 1.997 chains. Hence, latitude or southing = 0. 105 chains, and departure or westing = 1.997 chains. (3) Let it be required to find the latitude and departure of the course K 15° 45' W. 27.36 chains. \l In this case we find the required numbers for each figure of the distance separately, arranging the work as in the following table. In practice, only the last columns under *' Latitude " and *' Departure " are written. M^- DiSTAKCS. Latitude. Departube. 20 = 2 X 10 ' 7 0.3 =3-7-10 0.06 = 6 -r 100 1.925 X 10 = 19.25 6.737 2.887 4-10 =0.289 6.775 -r 100 = 0.058 0.543 X 10 = 6.43 L90 0.814 -r 10 =0.081 1.628 -f 100 = 0.016 27.36 26.334 7.427 Hence, latitude = 26.334 chains, and departure = 7.427 chains. ■\ TABLE I THE COMMON OE BEIGGS LOGAEITHMS OP THE • NATUEAL :S UMBEES From 1 to 10000. 1-100 N log N log N log N log N log 1 0.00 000 21 1.32 222 41 1. 61 278 61 1. 78 533 81 1.90 849 2 0.30103 22 1. 34 242 42 1.62 325 62 1.79 239 82 1. 91 381 3 a 47 712 23 1. 36 173 43 1. 63 347 63 1.79 934 83 1. 91 908 4 0.60 206 24 1. 38 021 44 1. 64 345 64 1.80 618 84 1.92 428 5 0.69 897 25 1.39 794 45 1.65 321 65 1.81291 85 1.92 942 6 0.77 815 26 1. 41 497 46 1.66 276 66 1. 81 954 86 1.93 4iO 7 0. 84 510 27 1. 43 136 47 1.67 210 67 1. 82 607 87 1.93 952 8 0.90309 28 1. 44 716 48 1.68124 68 1. 83 251 88 1.94 448 9 0. 95 424 29 1.46 240 49 1.69 020 69 1. 83 885 89 1.94 939 10 1.00000 ' 1 30 1. 47 712 50 1.69 897 70 1. 84 510 • 90 1.95 424 11 1.04139 31 1. 49 136 61 1. 70 757 71 1. 85 126 91 1.95 904 12 1.07918 32 1.50 515 52 1.71600 72 1. 85 733 92 l.%379 13 1.11394 33 1. 51 851 53 1.72 428 73 1.86332 93 1. %848 14 1.14 613 34 1. 53 148 54 1. 73 239 74 1.86 923 94 1.97 313 15 1.17 609 35 1.54 407 55 1.74 036 75 1. 87 506 95 1. 97 772 16 1.20412 36 1. 55 630 66 1.74 819 76 1.88 081 96 1.98 227 17 1. 23 045 37 1.56 820 57 1.75 587 77 1.88 649 97 1.98677 18 1. 25 527 38 1.57 978 58 1.76 343 78 1. 89 209 98 1.99123 19 1.27 875 39 1. 59 106 59 1. 77 085 79 1. 89 763 99 1. 99 564 20 1. 30 103 40 1.60 206 60 1.77 815 80 1.90309 100 2.00000 N log N log N log N log N log 1-100 V ti I V 2 100-160 \ ! i i N O 1 2 3 4 5 6 7 8 9 lOO 00000 00(H3 00087 00130 00173 00217 00260 00303 00346 00389 101 00432 00 475 00 518 00 561 00 604 00647 00689 00732 00775 00817 102 00860 00903 00945 00988 01030 01 072 01 115 01 157 01 199 01 242 103 01284 01326 01368 01410 01452 01494 01536 01578 01620 01662 104 01703 01745 01787 01828 01870 01912 01953 01995 02 036 02 078 105 02119 02160 02 202 02 243 02 284 02325 02 366 02 407 02 449 02 490 106 02 531 02 572 02 612 02 653 02 694 02 735 02 776 02 816 02 857 02 898 107 02 938 02 979 03 019 03 060 03100 03141 03181 03 222 03 262 03 303 108 03 342 03 383 03 423 03 463 03 503 03 543 03 583 03 623 03 663 03 703 109 03 743 03 782 03 822 03 862 03 902 03 SHI 03 981 04 021 0+060 04100 no (H 139 04 179 04 218 (H 258 04 297 0+336 0+376 0+415 04 454 0+493 111 (H532 0+571 0+610 0+650 0+689 0+727 0+766 04 805 0+-844 04 883 112 0+922 0+%l 0+999 05 038 05 077 05 115 05 154 05 192 05 231 05 269 113 05 308 05 346 05 385 05 423 05 461 05 500 05 538 05 576 05 614 05 652 114 05 690 05 729 05 767 05 805 05 843 05 881 05 918 05 956 05 994 06032 116 06070 06108 06145 06183 06 221 06258 06 296 06333 06 371 06408 116 06446 06483 06 521 06 558 06 595 06633 06670 06 707 06 7+4 06 781 117 06819 06 856 06893 06 930 06 %7 0700+ 070+1 07078 07115 07151 118 07188 07 225 07 262 07 298 07 335 07 372 07 408 07 445 07 482 07 518 119 07 55i 07 591 07 628 07 66+ 07 700 07 737 07 773 07 809 07 846 07 882 120 ,07918 07954 07990 08027 08063 08099 08135 08171 08 207 08 243 121 08 279 08 314 08 350 08 386 08422 08 458 08493 08 529 08 565 08600 122 08 636 08 672 08 707 08 743 08 778 08 814 088+9 08 884 08920 08955 123 08991 09026 09061 090% 09132 09167 09 202 09 237 09 272 09307 124 09342 09377 09412 09 447 09 482 09 517 09 552 09 587 09621 09656 125 09691 09 726 09 760 09 795 09 830 09 864 09899 09934 09968 10003 126 10037 10072 10106 10140 10175 10 209 10 2+3 JO 278 10312 10 3+6 127 10380 10 415 10449 10 483 10 517 10 551 10 585 10619 10653 10687 128 10 721 10 755 10 789 10823 10 857 10890 10 924 10958 10992 11025 129 11059 11093 11126 11160 11193 11227 11261 11294 11327 11361 130 11394 11428 11461 1149+ 11528 11561 11594 11628 11661 11694 131 11727 11760 11793 11826 11860 11893 11926 11959 11992 12 024' 132 12 057 12 090 12123 12156 12189 12 222 12 254 12 287 12 320 12 352 133 12 385 12 418 12 450 12 483 12 516 12 548 12 581 12 613 12 646 12 678 134 12 710 12 743 12 775 12 808 12 840 12872 12 905 12 937 12 %9 13 001 • 135 13033 13 066 13 098 13130 13162 13194 13 226 13 258 13 290 13 322 136 13 354 13 386 13 418 13 450 13 481 13 513 13 545 13 577 13 609 13 640 137 13 672 13 70+ 13 735 13 767 13 799 13 830 13 862 13 893 13 925 13 956 138 13 988 14 019 14 051 14 082 14114 14145 14176 14 208 14 239 14 270 139 14 301 14 333 14 364 14 395 14 426 14 457 14 489 14 520 14 551 14 582 140 14 613 14 644 14 675 14 70^ 14 737 14 768 14 799 14 829 14 860 14 891 141 14922 14 953 14 983 15 014 15 0+5 15 076 15 106 15 137 15 168 15198 142 15 229 15 259 15 290 15 320 15 351 15 381 15 412 15 442 15 473 15 503 143 15 534 15 564 15 594 15 625 15 655 15 685 15 715 15 746 15 776 15 806 144 15 836 15 866 15 897 15 927 15 957 15 987 16017 16047 16077 16107 145 16137 16167 16197 16 227 16256 16286 16316 16346 16376 16406 146 16435 16465 16495 16 524 16 554 16 584 16613 16643 16673 16 702 147 16 732 16 761 16 791 16 820 16 850 16879 16909 16 938 16 %7 16 997 148 17 026 17 056 17085 17114 17143 17173 17 202 17 231 17 260 17 289 1 149 17 319 17 348 17377 17 406 17435 17464 17 493 17 522 17 551 17 580 150 17609 17638 17667 1769j5 17725 17 754 17 782 17811 17840 17869 N O ^ 1 Z 3 4 5 6 7 8 9 1 100-1^ 50 i , 160-200 8 N O 1 a 3 4 5 6 7 8 9 150 17 609 17 638 17 6(^7 17 6% 17 725 17 754 17 782 17 811 17 8+0 17 869 151 17 898 17 926 17 955 17 98+ 18 013 18 041 18 070 18 099 18127 18156 152 18184 18 213 18 2+1 18 270 18 298 18 327 18 355 18384 18 412 18 441 153 18 469 18498 18 526 18 554 18 583 18 611 18 639 18667 18 6% 18 724 154 18 752 18 780 18 808 18 837 18 865 18 893 18921 18 949 18 977 19005 155 19033 19061 19 089 19117 19145 19173 19 201 19 229 19 257 19 285 156, 19 312 19 340 19 368 19 396 19 424 19 451 19 479 19 507 19 535 19 562 157 19 590 19 618 19 645 19 673 19 700 19 728 19 756.19 783 19 811 19 838 158 19 866 19 893 19 921 19 9+8 19 976 20 003 20 030 20 058 20085 20112 159 201+0 20167 2019+ 20 222 20 249 20 276 20303 20 330 20 358 20385 160 20 412 20 439 20466 20 493 20 520 20 548 20 575 20 602 20 629 20 656 161 20 683 20 710 20 737 20 763 20 790 20S17 20 84+ 20 871 20 898 20 925 162 20 952' 20 978 21 005 21 032 21 059- 21085 21112 21139 21165 21192 163 21219 212+5 21272 21299 21325 21352 21378 21405 21431 21458 164 21484 21511 21537 21564 21590 21 617 21 643 21 669 21 6% 21 722 165 21748 21775 21801 21827 21854 21880 21906 21932 21 958 21985 166 22 011 22 037 22 063 22 089 22 115 22 1+1 22167 22 194 22 220 22 246 167 22 272 22 298" 22 324 22 350 22 376 22 401 22 427 22 453 22 479 22 505 168 22 531 22 557 22 583 22 608 22 63+ 22 660 22 686 22 712 22 737 22 763 169 22 789 22 814 22 8+0 22 866 22 891 22 917 22 9+3 22 968 22 99+ 23 019 170 23 0^5 23 070 23 096 23 121 23 1+7 23172 23198 23 223 23 2+9 23 27+ 171 23 300 23 325 23 350 23 376 23 401 23 426 23 452 23 477 23 502 23 528 172 23 553 23 578 23 603 23 629 23 65+ 23 679 23 704 23 729 23 75+ 23 779 173 23 805 23 830 23 855 23 880 23 905 23 930 23 955 23 980 24 005 24 030 17+ 2+055 2+080 2+105 2+130 2+155 24180 24 20+ 24 229 24 254 24 279 175 2430+ 2+329 24 353 24 378 24 403 24 428 24 452 24477 24 502 24 527 176 24 551 2+576 2+601 2+625 24 650 24 674 24 699 24 724 24 748 24 773 177 24 797 2+822 24 8+6 2+871 24 895 24 920 24 944 24 969 24 993 25 018 178 25 0+2 25 066 25 091 25 115 25 139 25 16+ 25 188 25 212 25 237 25 261 179 25 285 25 310 25 334 25 358 25 382 25 406 25 431 25 455 25 479 25 503 ISO 25 527 25 551 25 575' 25 600 25 62+ 25 648 25 672 25 6% 25 720 25 744 181 25 768 25 792 25 816 25 8+0 25 864 ' 25 888 25 912 25 935 25 959 25 983 182 26007 26 031 26055 26 079 26102 26126 26150 26174 26198 26 221 183 26 2+5 26 269 26 293 26316 26 3+0 26 36+ 26 387 26 411 26 435 26458 184 26 482 26 505 26 529 26 553 26 576 26 600 26623 26 647 26 670 26 694 185 26 717 26 7+1 26 764 26 788 26 811 26 834 26 858 26 881 26905 26 928 186 26 951 26 975 26 998 27 021 27 045 27 068 27 091 27114 27138 27161 187 27184 27 207 27 231 27 254 27 277 27 300 27 323 27 346 27 370 27 393 188 27 416 27 439 27 462 27 485 27 508 27 531 27 554 27 577 27 600 27 623 189 27 646 27 669 27692 27 715 27 738 27 761 27 784 27 807 27 830 27 852 190 27 875 27 898 27 921 27 944 27967 27 989 28 012 28 035 28 058 28081 191 28103 28126 281+9 28171 28194 28 217 28 2+0 28 262 28 285 28 307 192 28330 28353 28375 28 398 28 421 28 443 28466 28 488 28 511 28 533 193 28 556 28 578 28601 28 623 28 646 28 668 28 691 28 713 28 735 28 758 194 28 780 28 803 28 825 28 847 28 870 28 892 28914 28937 28 959 28 9^1 195 29 003 29026 290+8 29 070 29 092 29115 29137 29159 29181 29 203 196 29 226 29 248 29 270 29 292 29 314 29 336 29 358 29 380 29 403 29 425 197 29 447 29469 29 491 29 513 29 535 29 557 29 579 29 601 29 623 29645 198 29 667 29 688 29 710 29 732 29 754 29 776 29 798 29 820 29 842 29 863 199 29 885 29907 29 929 29 951 29 973 29 994 30016 30038 30 060 30081 200 30103 30125 30146 30168 30190 30 211 30 233 30 255 30 276 30 298 N O 1 2 3 4 5 6 7 8 9 150-200 M rtotiTi ^:htm 200-250 I N O 1 2 3 4 5 6 7 8 9 200 30103 30125 30146 30168 30190 30 211 30 233 30 255 30 276 30 298 201 30320 30 341 30363 30 384 30 406 30428 30449 30471 30 492 30 514 202 30 535 30 557 30 578 30 600 30 621 30643 :0664 30685 30 707 30 728 203 30 750 30 771 30 792 30 814 30835 30 856 30 878 30 899 30920 30 942 2(n 30963 30984 31006 31027 31048 31069 31091 31112 31133 31154 205 31 175 31 197 31 218 31 239 31 260 31281 31302 31323 31345 31366 206 31387 31408 31429 31450 31471 31492 31513 31534 31555 31576 207 31597 31618 31639 31660 31681 31702 31723 31744 31765 31785 208 31806 31827 31848 31869 31890 31911 31931 31952 31973 31994 209 32 015 32 035 32 056 32 077 32 098 32118 32139 32160 32181 32 201 210 32 222 32 243 32 263 32 284 32 305 32 325 32 346 32 366 32 387 32 408 211 32 428 32 449 32 469 32 490 32 510 32 531 32 552 32 572 32 593 32 613 212 32 634 32 654 32 675 32 695 32 715 32 736 32 756 32 777 32 797 32 818 213 32 838 32 858 32 879 32 899 32 919 32 940 32 960 32 980 33 001 33 021 214 33 (HI 33 062 33 082 33102 33122 33 143 33163 33183 33 203 33 224 215 33 244 33 264 33 284 33 304 33 325 33 345 33 365 33 385 33 405 33 425 216 33 445 33 465 33 486 33 506 33 526 33 546 33 566 33 586 33 606 33 626 217 33 646 33 666 33 686 33 706 33 726 33 746 33 766 33 786 33 806 33 826 218 33 846 33 866 33 885 33 905 33 925 33 945 33 %5 33 985 34 005 34 025 219 34 (H4 34 064 34084 34104 34124 34143 34163 34183 34 203 34 223 220 34 242 34 262 34 282 34 301 34 321 34 341 34 361 34 380 34 400 34 420 221 34 439 34 459 34 479 34 498 34 518 34 537 34 557 34 577 34 596 34 616 222 34 635 34 655 34 674 34 694 34 713 34 733 34 753 34 772 34 792 34 811 223 34 830 34 850 34 869 34 889 34 908 34928 34947 34 967 34 986 35 005 224 35 025 35 (H4 35 064 35 083 35 102 35 122 35 141 35 160 35 180 35 199 j^25 *226 35 218 35 238 35 257 35 276 35 295 35 315 35 334 35 353 35 372 35 392 35 411 35 430 35 449 35 468 35 488 35 507 35-526 35 545 35 564 35 583 227 35 603 35 622 35 641 35 660 35 679 35 698 35 717 35 736 35 755 35 774 228 35 793 35 813 35 832 35 851 35 870 35 889 35 908 35 927 35 946 35 965 229 35 984 36003 36021 36 (HO 36059 36078 36097 36116 36135 36154 230 36173 36192 36 211 36 229 36248 36267 36 286 36305 36324 36342 231 36361 36380 36399 36418 36436 36455 36474 36493 36 511 36 530 232 36 549 36S68 36 586 36605 36 624 36642 36661 36 680 36 698 36 717 233 36 736 36 754 36 773 36 791 36810 36 829 36847 36866 36 884 36903 234 36 922 36940 36959 36977 369% 37014 37033 37051 37070 37 088 235 37107 37125 37144 37162 37181 37199 37 218 37 236 37 254 37 273 236 37 291 37 310 37 328 37 346 37 365 37 383 37 401 37 420 37 438 37 457 237 37 475 37 493 37 511 37 530 37 548 37 566 37 585 37603 37621 37 639 238 37 658 37 676 37 694 37 712 37 731 37 749 37 767 37 785 37 803 37 822 239 37 840 37 858 37 876 37 894 37912 37931 37 949 37 %7 37 985 38003 240 38021 38039 38057 38075 38093 38112 38130 38148 38166 38184 241 38 202 38 220 38 238 38 256 38 274 38 292 38 310 38 328 38346 38 364 242 38 382 38399 38 417 38 435 38453 38471 38 489 38 507 38 525 38 543 243 38561 38 578 38 5% 38 614 38632 38650 38 668 38686 38 703 38 721 244 38 739 38 757 38 775 38 792 38810 38828 38 846 38863 38881 38 899 245 38917 38 934 38952 38970 38987 39005 39023 39041 39058 39076 246 39094 39111 39129 39146 39164 39182 39199 39 217 39 235 39 252 247 39 270 39 287 39 305 39 322 39 340 39358 39 375 39 393 39410 39428 248 39445 39 463 39 480 39498 39 515 39 533 39 550 39 568 39 585 39 602 249 39620 39637 39 655 39 672 39690 39 707 39 724 39 742 39 759 39 777 250 39 794 39 811 39 829 39 846 39 863 39 881 39 898 39915 39933 39950 N O 1 2 3 4 6 6 7 8 9 200-250 Ai 250-300 5 N 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 2% 297 298 299 300 O 39 794 39 967 40140 40 312 40 483 40654 40 824 40993 41162 41330 41497 41664 41830 41996 42 160 42 325 42 488 42 651 42 813 42 975 39 811 39 985 40157 40329 40 500 40 671 40 841 41010 41179 41347 41514 41681 41847 42 012 42177 42 341 42 504 42 667 42 830 42 991 43 136 43 152 43 297 43 313 43 457 43 473 43 616 43 632 43 775 43 791 43 933 44091 44 248 44 404 44 560 44 716 44 871 45 025 45 179 45 332 45 484 45 637 45 788 45 939 46090 46 240 46 389 46 538 46687 46835 46982 47129 47 276 47 422 47 567 43 949 44107 44 264 44 420 44 576 44 731 44 886 45 040 45 194 45 347 45 500 45 652 45 803 45 954 46105 46 255 46404 46 553 46 702 46 850 46 997 47144 47 290 47 436 47 582 39 829 40002 40175 40 346 40 518 40688 40 858 41027 41 .196 41363 41531 41697 41863 42 029 42193 42 357 42 521 42 684 42 846 43 008 43169 43 329 43 489 ^3 648 43 807 43 965 44122 44 279 44 436 44 592 44 747 44 902 45 056 45 209 45 362 45 515 45 667 45 818 45 969 46120 39 846 40019 40192 40 364 40 535 40 705 40S75 41044 41212 41380 41547 41714 41880 42 045 42 210 42 374 42 537 42 700 42 862 43 024 43185 43 345 43 505 43 664 43 823 43 981 44 138 44 295 44 451 44 607 44 762 44 917 45 071 45 225 45 378 45 530 45 682 45 834 45 984 46135 46 270 46 285 46 419 46434 46 568 46 583 46 716 46 731 46 864 46879 47 012 47159 47 305 47 451 47 5% 47 026 47173 47 319 47 465 47 611 39863 40037 40209 . 40381 40 552 40 722 40 892 41061 41229 41397 41564 41731 41896 42 062 42 226 42 390 42 553 42 716 42 878 43 040 43 201 43 361 43 521 43 680 43 838 43 996 44 154 44 311 44 467 44623 44 778 44 932 45 086 45 240 45 393 45 545 45 697 45 849 46000 46150 46 300 46449 46 598 46 746 46894 47 041 47188 47 334 47 480 47 625 6 8 9 47 712 47 727 47 741 47 756 47 770 39 881 40054 40226 40 398 40 569 39 898 40 071 40 243 40 415 40 586 40 739 40 756 40 909 40926 41078 41095 41246 41263 41414 41430 N O 41581 41747 41913 42 078 42 243 42 406 42 570 42 732 42 894 43 056 43 217 43 377 43 537 43 696 43 854 44 012 44170 44 326 44 483 44 638 44 793 44 948 45 102 45 255 45 408 45 561 45 712 45 864 46015 46165 46315 46464 46613 46 761 46909 47 056 47 202 47 349 47 494 47 640 41597 41764 41929 42 095 42 259 42 423 42 586 42 749 42 911 43 072 43 233 43 393 43 553 43 712 43 870 44 028 44 185 44 342 44 498 44 654 44 809 44 963 45117 45 271 45 423 45 576 45 728 45 879 46030 46180 46330 46479 46627 46 776 46923 47 070 47 217 47 363 47 509 47 654 39915 40088 40261 40432 40603 40 773 40 943 41111 41280 41447 41614 41780 41946 42111 42 275 42 439 42 602 42 765 42 927 43 088 43 249 43 409 43 569 43 727 43 886 44 044 44 201 44 358 44 514 39933 39 950 40106 40123 40 278 40 295 40449 40466 40620 40637 40 790 40807 40960 40976 41 128 41 145 41296 41313 41464 41481 41 631 41797 41963 42 127 42 292 41647 41814 41979 42144 42 308 42 455 42 472 42 619 42 635 42 781 42 797 42 943 42 959 43104 43120 43 265 43 425 43 584 43 743 43 902 44 059 44 217 44 373 44 529 44669 44 685 44 824 44 979 45 133 45 286 45 439 45 591 45 743 45 894 46045 46195 46345 46494 46642 46 790 46938 47085 47 232 47 378 47'524 47 669 44 840 44 994 45 148 45 301 45 454 45 606 45 758 45 909 46060 46 210 46359 46-509 46657 46805 46953 47100 47 246 47 392 47 538 47 683 43 281 43 441 43 600 43 759 43 917 44 O/'; 44 232 44 389 44 545 44 700 44 855 45 010 45 163 45 317 45 469 45 621 45 773 45 924 46075 46 225 46 374 46 523 46672 46 820 46967 47 114 47 261 47 407 47 553 47 698 47 784 47 799 47 813 47 828 47842 8 M :lJ 250-300 6 300-360 if 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 K N O 1 2 3 4 300 47 712 47 727 47 741 47 756 47 770 301 47 857 47 871 47 885 47 900 47 914 302 48001 48 015 48 029 480+4 48 058 303 48144 48159 48173 48187 48 202 304 48 287 48 302 48 316 48 330 48 344 305 48430 48 444 48458 48473 48 487 306 48 572 48 586 48 601 48 615 48 629 48 714 48 728 •18 742 48 7^.48 770 48 855 48 869 48 883 48 897 48 911 48 9% 49 010 49024 49 038 49052 49136 49150 49164 49178 49192 49276 49 290 49 304 49318 49 332 49 415 49 429 49 443 49 457 49 471 49 554 49 568 49 582 49 596 49 610 49693 49 707 49 721 49 734 49 748 49 831 49 845 49 859 49872 49886 49 %9 49982 499% 50 010 50024 50106 50120 50133 50147 50161 50 243 50256 50 270 50 284 50 297 50379 50 393 50406 50420 50433 50515 50 529 50542 50 556 50 569 50651 50664 50 678 50691 50 705 50 786 50 799 50 813 50 826 50 840 50920 50934 50^7 50 %1 50974 51055 51068 51081 51095 51108 51188 51202 51215 51228 51242 51322 51335 51348 51362 51375 51455 51468 51481 51495 51508 51587 51601 51614 51627 51640 51720 51733 51746 51759 51772 51 851 51 865 51 878 51 891 51 90+ 51 983 519% 52 009 52 022 52 035 52114 52 127 52140 52153 52166 52 244 52 257 52 270 52 284 52 297 52 375 52 388 52 401 52 414 52 427 52 504.52 517 52 530 52 543 52 556 52 634 52 647 52 660 52 673 52 686 52 763 52 776 52 789 52 802 52 815 52 892 52 905 52 917 52 930 52 943 53 020 53 033 53 0+6 53 058 53 071 53148 53161 53173 53186 53199 5>275 53 288 53 301 53 314 53 326 53 403 53 415 53 428 53 441 53 453 53 529 53 542 53 555 53 567 53 580 53 656 53 668 53 681 53 694 53 706 53 782 53 794 53 807 53 820 53 832 53 908 53 920 53 933 53 945 53 958 54 033 54 045 54 058 54070 54 083 54158 54170 54183 54195 54 208 54 283 54 29i 54 307 54 320 54 332 54 407 54 419 54432 54444 54 456 O 6 8 9 47 784 47 799 47 813 47 828 47842 47 929-47 943 47 958 47 972 47 986 48073 48 087 48101 48116 48130 48 216 48 230 48 244 48 259 48 273 48359 48 373 48387 48 401 48416 48 501 48 515 48 530 48 544 48 558 48643 48 657 48 671 48 686 48 700 48 785 48 799 48 813 48 827 48 841 48 926 48940 48954 48 968 48 982 49066 49 080 49094 49108 49122 49 206 49 220 49 234 49248 49 262 49346 49 360 49 374 49 388 49 402 49 485 49 499 49 513 49 527 49 541 49624 49638 49651 49665 49 679 49 762 49 776 49 790 49 803 49 817 49900 49914 49927 49 941 49955 50037 50051 50065 50079 50092 50174 50188 50202 50 215 50229 50311 50325 50338 50 352 50 365 50447 50 461 50 474 50488 50 501 50583 50 5% 50610 50623 50637 50 718 50 732 50 745 50 759 50 772 50 853 50 866 50 880 50 893 50907 50987 51001 51014 51028 51041 51121 51135 51148 51162 51175 "51255 51268 51282 51295 51308 51388 51402 51415 51428 51441 51521 51534 51548 51561 51574 51654 51667 51680 51693 51706 51786 51799 51812 51825 51838 51917 51930 51943 51957 51970 52 048 52 061 52 075 52 088 52101 52179 52192 52 205 52 218 52 231 52 310 52 323 52 336 52 349 52 362 52 440 52 453 52466 52 479 52 492 52 569 52 582 52 595 52 608 52 621 52 699 52 711 52 724 52 737 52 750 52 827 52 840 52 853 52 866 52 879 52 956 52 %9 52 982 52994 53 007 53 084 53 097 53110 53122 53135 53 212 53 224 53 237 53 250 53 263 53 339 53 352 53 364 53 377 53 390 53 466 53 479 53 491 53 504 53 517 53 593 53 605 53 618 53 631 53 643 53 719 53 732 53 744 53 757 53 769 53 845 53 857 53 870 53 882 53 895 53 970 53 983 53 995 54008 54 020 54 095 54108 54120 54133 54145 54 220 54 233 54 245 54 258 54 270 54 345 54 357 54 370 54382 54 394 54 469 54481 54 494 54 506 54 518 5 8 300-360 360-400 N 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 O N 54 407 54 419 54 432 54 444 54 456 54 531 54 543 54 555 54 568 54 580 54654 54 667 54 679 54 691 54 704 54 777 54 790 54 802 54 814 54 827 54900 54913 54 925 54937 54949 55 023 55 035 55 047 55 060 55 072 55 145 55 157 55169 55182 55194 55 267 55 279 55 291 55 303 55 315 55 388 55 400 55 413 55 425 55 437 55 509 55 522 55 534 55 546 55 558 55 630 55 642 55 654 55 666 55 678 55 751 55 763 55 775 55 787 55 799 55 871 55 883 55 895 55 907 55 919 55 991 56003 56015 56 027 56038 56110 56122 56134 56146 56158 56229 56 241 56253 56 265 56 277 56348 56360 56372 56384 56396 56467 56478 56490 56 502 56 514 56 585 56 597 56608 56620 56 632 56 703 56 714 56 726 56 738 56 750 56820 56832 56 844 56855 56867 56937 56949 56 961 56 972 56984 57 054 57 066 57 078 57 089 57101 57171 57183 57194 57 206 57 217 57 287 57 299 57 310 57 322 57 334 57403 57415 57 426 57 438 57449 57 519 57 530 57 542 57 553 57 565 57634 57 646 57 657 57 669 57 680 57 749 57 761 57 772 57 784 57 795 57 864 57 875 57 887 57 898 5.7910 57 978 57 990 58001 58013 58024 58092 58104 58115 58127 58138 58 206 58 218 58 229 58 240 58 252 58320 58 331 58343 58354 58 365 58433 58444 58456 58467 58478 58 546 58 557 58 569 58 580 58 591 58 659 58 670 58681 58 692 58 704 58 771 58 782 58 794 58 805 58 816 58883 58 894 58906 58917 58928 58995 59006 59017 59028 590+0 59106 59118 59129 59140 59151 59 218 59 229 59 240 59 251 59 262 59329 59340 59 351 59 362 59 373 59439 59 450 59 461 59 472 59483 59 550 59 561 59 572 59 583 59 594 59660 59671 59682 59693 59 704 59 770 59 780 59 791 59 802 59 813 59879 59 890 59901 59 912 59923 59988 59999 60 010 60021 60032 60097 60108 60119 60130 60141 60206 60217 60228 60239 60249 6 8 9 O 54469 54481 54 494 54 506 54 518 54 593 54 605 54617 54 630 54 642 54 716 54 728 54 741 54 753 54 765 54 839 54 851 54 86+ 54 876 54 888 54962 54974 54986 54998 55 011 55 084 55 096 55108 55 121 55133 55 206 55 218 55 230 55 242 55 255 55 328 55 340 55 352 55 364 55 376 55 449 55 461 55 473 55 485 55 497 55 570 55 582 55 594 55 606 55 618 55 691 55 703 55 715 55 727 55 739 55 811 55 823 55 835 55 847 55 859 55 931 55 943 55 955 55 %7 55 979 56 050 56062 56074 56086 56098 56170 56182 56194 56205 56 217 56289 56301 56312 56324 56336 56407 56419 56431 56443 56455 56 526 56 538 56 549 56 561 56 573 56 644 56656 56667 56 679 56 691 56 761 56 773 56 785 56 797 56 808 56879 56891 56902 56914 56926 56996 57 008 57 019 57031 570+3 57113 57124 57136 57148 57159 57 229 57 241 57 252 57 264 57 276 57 345 57357 57 368 57 380 57392 57461 57473 57 484 574% 57 507 57 576 57 588 57 600 57 611 57 623 57 692 57 703 57 715 57 726 57 738 57 807 57 818 57 830 57841 57 852 57 921 57 933 57 944 57 955 57 %7 58035 58047 58058 58070 58081 58149 58161 58172 58184 58195 58 263 58 274 58 286 58 297 58 309 58 377 58 388 58 399 58410 58422 58490 58 501 58 512 58 524 58 535 58602 58614 58625 58636 58647 58 715 58 726 58 737 58 749 58 760 58 827 58 838 58 850 58 861 58872 58939 58950 58961 58973 58984 59051 59062 59073 59084 59095 59162 59173 59184 59195 59 207 59 273 59 284 59 295 59 306 59 318 59 384 59395 59406 59 417 59428 59494 59 506 59 517 59 528 59 539 59605 59616 59627 59638 59 649 59 715 59 726 59 737 59 748 59 759 59 824 59 835 59 846 59 857 59 868 59934 59 945 59956 59 966 59977 60043 60054 60065 60076 60086 60152 60163 60173 60184 60195 60260 60271 60282 60293 60304 6 8 9 11 360-400 f 8 400-460 t N O 1 2 3 4 5 6 7 8 9 400 60 206 60 217 60 228 60 239 60 249 60260 60271 60282 60293 60304 401 '60314 60 325 60 336 60347 60 358 60369 60379 60390 60401 60412 402 60423 60433 60444 60455 60466 60477 60 487 60498 60 509 60 520 403 60 531 60 541 60 552 60 563 60 574 60 5S4 60 595 60 606 60 617 60 627 4(H 60638 606+9 60660 60670 60681 60692 60 703 60 713 60 724 60 735 405 60 746 60 756 60 767 60 778 60 788 60 799 60810 60821 60 831 60842 406 60853 60 863 60 874 60 885 60 895 60906 60917 60927 60 938 60 9+9 407 60959 60 970 60981 60991 61002 61013 61023 61034 61045 61055 408 61066 61077 61087 61098 61109 61 119 61 130 61 140 61 151 61 162 409 61 172 61 183 61 194 61 2(H 61 215 61225 61236 61247 61257 61268 410 61278 61289 61300 61310 61321 61331 61342 61352 61363 61374 411 61384 61395 61405 61416 61426 61437 61448 61458 61469 61479 412 61490 61500 61511 61521 61532 61 542 61 553 61 563 61 574 61 584 413 61595 61606 61616 61627 61637 616+8 61658 61669 61679 61690 414 61 700 61 711 61 721 61 731 61 742 61752 61763 61773 61784 61794 415 61805 61815 61826 61836 61847 61857 61868 61878 61888 61899 416 61909 61920 61930 61941 61951 61962 61972 61982 61993 62 003 417 62 014 62 024 62 034 62 (H5 62 055 62066 62 076 62 086 62 097 62107 418 62118 62128 62138 62149 62159 62170 62 180 62 190 62 201 62 211 419 62 221 62 232 62 242 62 252 62 263 62 273 62 284 62 294 62 304 62 315 420 62 325 62 335 62 346 62 356 62 366 62 377 62 387 62 397 62 408 62 418 421 62 428 62 439 62 449 62 459 62 469 62 480 62 490 62 500 62 511 62 521 422 62 531 62 542 62 552 62 562 62 572 62 583 62 593 62 603 62 613 62 624 423 62 634 62 614 62 655 62 665 62 675 62 685 62 696 62 706 62 716 62 726 424 62 737 62'747 62 757 62 767 62 778 62 788 62 798 62 808 62 818 62 829 425 62 839 62 849 62 859 62 870 62 880 62 890 62 900 62 910 62 921 62 931 426 62 9+1 62 951 62 %1 62 972 62 982 62 992 63 002 63 012 63 022 63 033 427 63 (H3 63 053 63 063 63 073 63 083 63 094 63 104 63114 63124 63134 428 63 144 63 155 63 165 63 175 63 185 63195 63 205 63 215 63 225 63 236 429 63 246 63 256 63 266 63 276 63 286 63 296 63 306 63 317 63 327 63 337 430 63 347 63 357 63 367 63 377 63 387 63 397 63 407 63 417 63 428 63 438 431 63 448 63 458 63 468 63 478 63 488 63 498 63 508 63 518 63 528 63 538 432 63 548 63 558 63 568 63 579 63 589 63 599 63 609 63 619 63 629 63 639 433 63 6+9 63 659 63 669 63 679 63 689 63 699 63 709 63 719 63 729 63 739 434 63 749 63 759 63 769 63 779 63 789 63 799 63 809 63 819 63 829 63 839 435 63 849 63 859 63 869 63 879 63 889 63 899 63 909 63 919 63 929 63 939 436 63 949 63 959 63 %9 63 979 63 988 63 998 64 008 64 018 64 028 64038 437 6+0+8 6+058 64 068 64 078 64 088 64 098 64108 6+118 64128 64137 438 64147 64157 64167 64177 64187 64197 64 207 64 217 64 227 64 237 439 64 246 64 256 64 266 64 276 64 286 64 296 64306 64 316 6+326 64 335 440 64 345 64355 64 365 64 375 64 385 64 395 64404 64414 64+24 64434 441 64444 64454 64464 64473 64483 64 493 64 503 64 513 64 523 64 532 442 64 542 64 552 6+562 64 572 64 582 64 591 64 601 64 611 64 621 64 631 443 64 640 6+650 64 660 64 670 64 680 64 689 6+699 64 709 64 719 64 729 444 6+738 6+748 64 758 64 768 64 777 64 787 64 797 64 807 64 816 64 826 445 64 836 64 846 64 856 64 865 64 875 64 885 64 895 64 904 64914 64924 446 64933 64943 64953 64%3 64972 64 982 64 992 65 002 65 011 65 021 447 65 031 65 (HO 65 050 65 060 65 070 65 079 65 089 65 099 65 108 65 118 448 65 128 65 137 65 147 65 157 65 167 65 176 65 186 65 1% 65 205 65 215 449 65 225 65 234 65 244 65 254 65 263 65 273 65 283 65 292 65 302 65 312 450 65 321 65 331 65 341 65 350 65 360 65 369 65 379 65 389 65 398 65 408 N O 1 2 3 4 5 6 7 8 9 400-460 i 450-600 9 N O 1 2 3 4 5 6 7 8 9 450 65 321 65 331 65 341 65 350 65 360 65 369 65 379 65 389 65 398 65 408 451 65 418 65 427 65 437 65 447 65 456 65 466 65 475 65 485 65 495 65 504 452 65 514 65 523 65 533 65 543 65 552 65 562 65 571 65 581 65 591 65 600 453 65 610 65 619 65 629 65 639 65 648 65 658 65 667 65 677 65 686 65 696 454 65 706 65 715 65 725 65 734 65 744 65 753 65 763 65 772 65 782 65 792 455 65 801 65 811 65 820 65 830 65 839 65 849 65 858 65 868 65 877 65 887 456 65 896 65 906 65 916 65 925 65 935 65 944 65 954 65 963 65 973 65 982 457 65 992 66001 66011 66020 66030 66039 66 0+9 66 058 66068 66077 458 66087 66096 66106 66115 66124 66134 66143 66153 66162 66172 459 66181 66191 66 200 66210 66219 66229 66 238 66247 66257 66266 460 66 276 66285 66 295 66304 66314 66323 66332 66342 66351 66361 461 66 370 66380 66 389 66 398 66408 66 417 66427 66436 66445 66455 462 66 464 66474 66 483 66492 66 502 66 511 66 521 66530 66 539 66549 463 66 558 66 567 66 577 66 586 66 596 66 605 66614 66624 66633 66642 464 66652 66661 66671 66680 66689 66699 66 708 66 717 66 727 66 736 465 66 745 66 755 66 764 66 773 66 783 66 792 66 801 66 811 66820 66829 466 66839 66 848 66857 66 867 66876 66885 66894 66904 66913 66922 467 66932 66941 66950 66960 66969 66978 66987 66997 67006 67015 468 67 025 67 034 67 043 67 052 67 062 67 071 67080 67089 67 099 67108 469 67117 67127 67136 67145 67154 67164 67173 67182 67191 67 201 470 67210 67219 67 228 67237 67 247 67 256 67 265 67 274 67 284 67293 471 67 302 67 311 67 321 67 330 67 339 67 3+8 67 357 67 367 67 376 67 385 | 472 67 394 67 403 67413 67 422 67 431 67440 67449 67 459 67468 67 477 473 67486 67 495 67 504 67 514 67 523 67 532 67 541 67 550 67 560 67 569 474 67 578 67 587 67 596 67605 67614 67 624 67633 67642 67651 67660 475 67669 67679 67688 67697 67 706 67 715 67 724 67 733 67 742 67 752 476 67 761 67 770 67 779 67 788 67 797 67 806 67 815 67 825 67834 67 843 477 67 852 67 861 67 870 67 879 67 888 67 897 67906 67 916 67 925 67934 478 679+3 67952 67961 67970 67 979 67988 67997 68006 68015 68024 479 68034 68043 68052 68061 68070 68079 68088 68097 68106 68115 480 68124 68133 68142 68151 68160 68169 68178 68187 68196 68 205 481 68215 68 224 68 233 68 242 68 251 68 260 68 269 68 278 68 287 68 2% 482 68305 68 314 68 323 68332 683+1 68 350 68 359 68 368 68 377 68 386 483 68395 68 404 68413 68422 68431 68 440 68449 68 458 68467 68 476 484 68485 68494 68 502 68511 68520 68529 68 538 68 547 68556 68565 485 68 574 68 583 68 592 68601 68 610 68619 68628 68637 68646 68655 486 68 664 68673 68 681 68 690 68699 68 708 68 717 68 726 68 735 68 744 487 68 753 68 762 68 771 68 780 68 789 68 797 68 806 68 815 68 824 68 833 488 68842 68 851 68 860 68 869 68 878 68 886 68895 68904 68913 68922 489 68931 68940 68949 68958 68966 68975 68984 68993 69002 69011 490 69020 69028 69037 69046 69055 69064 69073 69082 69090 69099 | 491 69108 69117 69126 69135 69144 69152 69161 69170 69179 69188 492 69197 69 205 69 214 69 223 69 232 69 241 69 249 69 258 69 267 69 276 493 69 285 69 294 69 302 69 311 69 320 69329 69338 69346 69 355 69 364 494 69373 69381 69390 69399 69408 69417 69425 69434 69443 69452 495 69 461 69 469 69 478 69487 69496 69 504 69 513 69 522 69 531 69 539 496 69 5+8 69 557 69 566 69 574 69 583 69 592 69601 69609 69618 69627 | 497 69 636 69 644 69 653 69 662 69 671 69679 69 688 69697 69 705 69 714 498 69 723 69 732 69 740 69 749 69 758 69 767 69 775 69 784 69 793 69 801 499 69 810 69 819 69827 69 836 69 845 69 854 69862 69871 69880 69888 500 69 897 69906 69914 69923 69932 69940 69949 69958 69966 69975 1 N 1 2 3 4 5 6 7 8 • I k n\ 460-600 10 500 - 550 650-600 11 « I I N O 1 2 3 4 5 6 7 8 9 1 500 69 897 69906 69 914 69923 69932 69940 69 949 69958 69 966 69975 501 69 984 69992 70 001 70 010 70 018 70027 7/) 036 70 (H4 70 053 70062 502 70070 70 079 70088 70096 70 lOi 70114 70122 70131 70140 70148 503 70157 70165 70174 70 183 70191 70 200 70 209 70 217 70 226 70 234 5(H 70 243 70 252 70 260 70 2^9 70 278 70 286 70 295 70303 70312 70321 505 70329 70338 70 346 7035i 70364 70372 70381 70389 70398 70406 506 70 415 70424 70432 70441 70449 70458 70467 70 475 70484 70492 507 70 501 70 509 70 518 70 526 70 535 70 544 70 552 70 561 70 569 70 578 508 70 586 70 59i 70603 70 612 70621 70629 70 638 70 646 70 655 70 663 509 70672 70680 70689 70697 70 706 70 714 70 723 70 731 70 740 70 749 510 70 757 70 766 70 774 70 783 70 791 70800 70808 70 817 70825 70 834 511 70842 70851 70 859 70868 70 876 70885 70 893 70 902 70910 70919 512 70927 70935 70944 70952 70 %1 70 %9 70978 70 986 70 995 71003 513 71012 71020 71029 71037 71046 71054 71063 71071 71079 71088 514 71096 71105 71113 71122 71130 71139 71147 71155 71164 71172 515 71181 71189 71198 71206 71214 71223 71231 71240 71248 71257 516 7126i 71273 71282 71290 71299 71307 71315 71324 71332 71341 517 71349 71357 71366 71374 71383 71391 71399 71408 71416 71425 518 71433 71441 71450 71458 71466 71475 71483 71492 71500 71508 519 71517 71525 71533 71542 71550 71559 71567 71575 71584 71592 520 71600 71609 71617 71625 71634 71642 71650 71659 71667 71675 521 71684 71692 71700 71709 71717 71725 71734 71743 71750 71759 522 71767 71775 71784 71792 71800 71809 71817 71825 71834 71842 523 71850 71858 71867 71875 71883 71892 71900 71908 71917 71925 524 71933 71941 71950 71958 71966 71975 71983 71991 71999 72 008 525 72 016 72 024 72 032 72 041 72 049 72 057 72 066 72 074 72 082 72 090 526 72 099 72107 72115 72123 72132 72140 72 148 72156 72165 72173 527 72181 72 189 72198 72 206 72 214 72 222 72 230 72 239 72 247 72 255 528 72 263 72 272 72 280 72 288 72 2% 72 304 72 313 72 321 72 329 72 337 529 72 346 72 354 72 362 72 370 72 378 72 387 72 395 72 403 72 411 72 419 530 72 428 72 436 72 444 72 452 72 460 72 469 72 477 72 485 72 493 72 501 531 72 509 72 518 72 526 72 534 72 542 72 550 72 558 72 567 72 575 72 583 532 72 591 72 599 72 607 72 616 72 624 72 632 72 640 72 648 72 656 72 665 533 72 673 72 681 72 689 72 697 72 705 72 713 72 722 72 730 72 738 72 746 534 72 754 72 762 72 770 72 779 72 787 72 795 72 803 72 811 72 819 72 827 535 72 835 72 843 72 852 72 860 72 868 72 876 72 884 72 892 72 900 72 908 536 72 916 72 925 72 933 72 941 72 949 72 957 72 %5 72 973 72 981 72 989 537 72 997 73 006 73 014 73 022 73 030 73 038 73 046 73 054 73 062 73 070 538 73 078 73 086 73 094 73 102 73 111 73119 73127 73135 73 143 73151 539 73159 73167 73175 73 183 73 191 73199 73 207 73 215 73 223 73 231 540 73 239 73 247 73 255 73 263 73 272 73 280 73 288 73 2% 73 304 73 312 541 73 320 73 328 73 336 73 344 73 352 73 360 73 368 73 376 73 384 73 392 542 73 400 73 408 73 416 73 424 73 432 73 440 73 448 73 456 73 464 73 472 543 73 480 73 488 73 496 73 504 73 512 73 520 73 528 73 536 73 544 73 552 544 73 560 73 568 73 576 73 584 73 592 73 600 73 608 73 616 73 624 73 632 545 73 640 73 648 73 656 73 664 73 672 73 679 73 687 73 695 73 703 73 711 546 73 719 73 727 73 735 73 743 73 751 73 759 73 767 73 775 73 783 73 791 547 73 799 73 807 73 815 73 823 73 830 73 838 73 846 73 854 73 862 73 870 548 73 878 73 886 73 894 73 902 73 910 73 918 73 926 73 933 73 941 73 949 549 73 957 73 %5 73 973 73 981 73 989 73 997 74 005 74 013 74 020 74028 550 74 036 74 OH 74 052 74 060 74 068 74076 74084 74092 74099 74107 N 12 3 4 5 6 7 8 9 1 N 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 5% 597 598 599 600 N o 1 2 3 4 5 6 7 8 9 74 036 74 (H4 74 052 74 060 74 068 74 076 74 084 74 092 74 099 74107 74115 74123 74131 74139 74147 74155 74162 74170 74178 74186 74194 74 202 74 210 74 218 74 225 74 233 74 241 74 249 74 257 74 265 74 273 74 280 74 288 74 2% 74 304 74 312 74 320 74 327 74 335 74 343 74351 74359 74367 74 374 74 382 74 390 74 398 74 406 74414 74421 74429 74437 74 445 74 453 74 461 74 468 74 476 74484 74 492 74 500 74 507 74 515 74 523 74 531 74 539 74 547 74 554 74 562 74 570 74 578 74 586 74 593 74 601 74 609 74 617 74 624 74 632 74 640 74 648 74 656 74 663 74 671 74 679 74 687 74 695 74 702 74 710 74 718 74 726 74 733 74 741 74 749 74 757 74 764 74 772 74 780 74 788 74 7% 74 803 74 811 74 819 74 827 74 834 74 842 74 850 74 858 74 865 74 873 74 881 74 889 74 8% 74 904 74 912 74 920 74 927 74 935 74 943 74 950 74958 74966 74 974 74981 74989 74 997 75 005 75 012 75 020 75 028 75 035 75 043 75 051 75 059 75 066 75 074 75 082 75 089 75 097 75105 75113 75120 75128 75136 75143 75151 75159 75 166 75174 75182 75189 75197 75 205 75 213 75 220 75 228 75 236 75 243 75 251 75 259 75 266 75 274 75 282 75 289 75 297 75 305 75 312 75 320 75 328 75 335 75 343 75 351 75 358 75 366 75 374 75 381 75 389 75 397 75 404 75 412 75 420 75 427 75 435 75 442 75 450 75 458 75 465 75 473 75 481 75 488 75 4% 75 504 75 511 75 519 75 526 75 534 75 542 75 549 75 557 * 75 565 75 572 75 580 75 587 75 595 75 603 75 610 75 618 75 626 75 633 75 641 75 648 75 656 75 664 75 671 75 679 75 686 75 694 75 702 75 709 75 717 75 724 75 732 75 740 75 747 75 75i 75 762 75 770 75 778 75 785 75 793 75 800 75 808 75 815 75 823 75 831 75 838 75 846 75 853 75 861 75 868 75 876 75 884 75 891 75 899 75 906 75 914 75 921 75 929 75 937 75 944 75 952 75 959 75 967 75 974 75 982 75 989 75 997 76005 76012 76020 76027 76035 76042 76050 76057 76065 76072 76080 76087 76095 76103 76110 76118 76125 76133 76140 76 148 76 155- 76163 76170 76178 76185 76193 76 200 76 208 76 215 76223 76 230 76 238 76 245 76 253 76 260 76268 76275 76283 76290 76298 76305 76313 76320 76328 76335 76343 76350 76358 76365 76373 76380 76388 76395 76403 76410 76418 76425 76 433 76440 76 448 76455 76462 76470 76477 76485 76492 76 500 76 507 76 515 76 522 76 530 76 537 76 545 76 552 76 559 76 567 76 574 76 582 76 589 76 597 76604 76612 76619 76626 76634 76641 76649 76656 76664 76671 76678 76686 76693 76 701 76 708 76 716 76 723 76 730 76 738 76 745 76 753 76 760 76 768 76 775 76 782 76 790 76 797 76 805 76 812 76 819 76827 76 834 76842 76849 76856 76864 76871 76 879 76 886 76893 76901 76908 76916 76923 76 930 76938 76945 76 953 76960 76967 76975 76982 76989 76997 77004 77012 77019 77 026 77034 77 041 77 048 77 056 77 063 77 070 77 078 77085 77093 77100 77107 77115 77122 77129 77137 77144 77151 77159 77166 77173 77181 77 188 77195 77 203 77 210 77 217 77 225 77 232 77 240 77 247 77 254 77 262 77 269 77 276 77 283 77 291 77 298 77305 77 313 77 320 77 327 77335 77 342 77 349 77 357 77 364 77371 77379 77386 77 393 77 401 77408 77 415 77 422 77 430 77 437 77 444 77452 77459 77466 77474 77481 77488 77495 77 503 77 510 77 517 77 525 77 532 77 539 77 546 77 554 77 561 77 568 77 576 77 583 77 590 77 597 77 605 77 612 77619 77 627 77 634 77 641 77 648 77 656 77 663 77670 77 677 77 685 77 692 77 699 77 706 77 714 77 721 77 728 77 735 77 743 77 750 77 757 77 764 77 772 77 779 77 786 77 793 77 801 77 808 77815 77 822 77830 77837 77844 77851 77859 77 866 77873 77880 O 1 2 3 4 5 6 7 8 9 500-550 650-600 12 600-650 660-700 18 I ^^ t '1 N 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 6+1 612 643 6H 645 6+6 647 648 649 650 O 77 815 77 822 77 830 77 837 77 844 77 887 77 895 77 902 77 909 77 916 77 960 77 967 77 974 77981 77 988 78032 78 039 78 (H6 78 053 78061 78104 78111 78118 78125 78132 78176 78183 78190 78197 78 204 78 247 .78 254 78 262 78 269 78 276 78 319 78 326 78 333 78 340 78 347 78 390 78 398 78 405 78 412 78 419 78 462 78 469 78476 78 483 78 490 78 533 78 540 78 547 78 554 78 561 78 6(H 78611 78 618 78 625 78 633 78 675 78 682 78 689 78 696 78 704 78 746 78 753 78 760 78 767 78 774 78817 78 824 78 831 78 838 78 845 78 888 78895 78902 78 909 78916 78 958 78 %5 78972 78 979 78 986 79029 79 036 79043 79050 79 057 79099 79106 79113 79120 79127 79169 79176 79183 79190 79197 79 239 79 246 79 253 79 260 79 267 79309 79 316 79 323 79 330 79 337 79 379 79 386 79 393 79400 79407 79449 79 456 79463 79470 79477 79 518 79 525 79 532 79 539 79 546 79 588 79 595 79602 79609 79 616 79657 79 66+ 79 671 79 678 79 685 79 727 79 734 79 741 79 748 79 754 79 7% 79 803 79 810 79 817 79 824 79865 79 872 79 879 79 886 79 893 79934 79^1 79^8 79955 79962 80 003 80010 80017 80024 80030 80 072 80079 80 085 80 092 80 099 80140 80147 80154 80161 80168 80 209 80 216 80 223 80 229 80 236 80 277 80 284 80 291 80 298 80 305 80 346 80 353 80 359 80 366 80 373 80414 80 421 80428 80 434 80 441 80 482 80 489 80 496 80 502 80 509 80 550 80 557 80 564 80 570 80 577 80618 80625 80632 80638 806+5 80 686 80 693 80 699 80 706 80 713 80 754 80 760 80 767 80 774 80 781 80 821 80 828 80 835 80 841 80 848 80889 80 895 80 902 80909 80 916 80956 80 %3 80969 80976 80983 81023 81030 81037 81043 81050 81090 81097 81104 81111 81117 81158 81164 81171 81178 81184 81224 81231 81238 81 245 81 251 81291 81298 81305 81311 81318 6 8 9 O 77 851 77 859 77 866 77 873 77 880 77 924 77 931 77 938 77 945 77 952 779% 78 003 78010 78 017 78 025 78 068 78 075 78082 78 089 78 097 78140 78147 78154 78161 78168 78 211 78 219 78 226 78 233 78 240 78 283 78 290 78 297 78 305 78 312 78355 78 362 78 369 78 376 78 383 78 426 78433 78 440 78 447 78 455 78497 78 504 78 512 78 519 78 526 78 569 78 576 78 583 78 590 78 597 78 6+0 78 647 78 654 78 661 78 668 78 711 78 718 78 725 78 732 78 739 78 781 78 789 78 7% 78 803 78 810 78 852 78 859 78 866 78 873 78 880 78 923 78930 78937 78 944 78951 78 993 79000 79 007 79 014 79 021 79064 79 071 79 078 79085 79 092 79134 79141 79148 79155 79 162 79 20+ 79 211 79 218 79 225 79 232 79 274 79 281 79 288 79 295 79302 79 344 79 351 79 358 79 365 79 372 79 414 79 421 79 428 79 435 79 442 79 484 79 491 79 498 79 505 79 511 79 553 79 560 79 567 79 574 79 581 79623 79630 79 637 79 644 79 650 79 692 79 699 79 706 79 713 79 720 79 761 79 768 79 775 79 782 79 789 79 831 79 837 79 844 79 851 79 858 79900 79 906 79913 79 920 79927 79 %9 79975 79982 79989 799% 80 037 80 044 80051 80 058 80 065 80106 80113 80120 80127 80134 80175 80 182 80188 80195 80 202 80 243 80 250 80 257 80 264 80 271 80 312 80318 80 325 80 332 80 339 80 380 80 387 80 393 80 400 80407 80 448 80 455 80 462 80 468 80 475 80 516 80 523 80 530 80 536 80 543 80 584 80 591 80 598 80604 8061i 80652 80659 80665 80672 80679 80 720 80 726 80 733 80 740 80 747 80 787 80 794 80 801 80 808 80 814 80 855 80 862 80 868 80 875 80 882 80922 80929 80 936 80943 80949 80990 809% 81003 81010 81017 81057 81064 81070 81077 81084 81 124 81 131 81 137 81 144 81 151 81 191 81 198 81 20+ 81 211 81 218 81258 81265 81271 81278 81 28i 8132i 81331 81338 81345 81351 6 8 9 N 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 TOO N O 81291 81298 81305 81311 81318 81358 81365 81371 81378 81385 81425 81431 81438 81445 81451 81491 81498 81505 81511 81518 81558 81564 81571 81578 81584 81624 81631 81637 81644 81651 81 690 81 697 81 704 81 710 81 717 81757 81763 81770 81776 81783 81823 81829 81836 81842 81849 81889 81895 81902 81908 81915 81954 81961 81 %8 81974 81981 82 020 82 027 82 033 82 040 82 046 82 086 82 092 82 099 82105 82112 82151 82158 82164 82171 82178 82 217 82 223 82 230 82 236 82 243 82 282 82 289 82 295 82 302 82 308 82 347 82 354 82 360 82 367 82 373 82 413 82 419 82 426 82 432 82 439 82 478 82 484 82 491 82 497 82 504 82 543 82 549 82 556 82 562 82 569 82 607 82 614 82 620 82 627 82 633 82 672 82 679 82 685 82 692 82 698 82 737 82 743 82 750 82 756 82 763 82 802 82 808 82 814 82 821 82 827 82 866 82 872 82 879 82 885 82 892 82 930 82 937 82 943 82950 82 956 82 995 83 001 83 008 83 014 83 020 83 059 83 065 83 072 83 078 83 085 83123 83 129 83 136 83142 83149 83 187 83 193 83 200 83 206 83 213 83 251 83 257 83 264 83 270 83 276 83 315 83 321 83 327 83 334 83 340 83 378 83 385 83 391 83 398 83 404 83 442 83 448 83 455 83 461 83 467 83 506 83 512 83 518 83 525 83 531 83 569 83 575 83 582 83 588 83 594 83 632 83 639 83 645 83 651 83 658 83 696 83 702 83 708 83 715 83 721 83 759 83 765 83 771 83 778 83 784 83 822 83 828 83 835 83 841 83 847 83 885 83 891 83 897 83 904 83 910 83 948 83 954 83 960 83 967 83 973 84011 84 017 84 023 84 029 84 036 84073 84 080 84 086 84092 84 098 84136 84142 84148 84155 84161 84198 84 205 84 211 84 217 84 223 84 261 84 267 84 273 84 280 84 286 84 323 84 330 84 336 84 342 84 348 84 386 84 392 84 398 84 404 84 410 84 448 84 454 84 460 84 466 84 473 84 510 84 516 84 522 84 528 84 535 O 81325 81391 81458 81525 81591 81657 81723 81790 81856 81921 81987 82 053 82119 82184 82 249 82 315 6 7 8 9 5 81331 81338 81345 81351 I 81398 81405 81411 81418 3 81465 81471 81478 81485 5 81531 81538 81544 81551 I 81598 81604 81611 81617 7 81664 81671 81677 81684 5 81730 81737 81743 81750 ) 81796 81803 81809 81816 S 81862 81869 81875 81882 L 81928 81935 81941 81948 1 81994 82 000 82 007 82 014 \ 82060 82 066 82 073 82 079 } 82125 82132 82138 82145 1- 82191 82197 82 204 82 210 ) 82 256 82 263 82 269 82 276 ; 82 321 82 328 82 334 82 341 82 380 82 387 82 393 82 400 82 406 82 445 82 452 82 458 82 465 82 471 82 510 82 517 82 523 82 530 82 536 82 575 82 582 82 588 82 595 82 601 82 640 82646 82653 82 659 82 666 82 705 82 711 82 718 82 724 82 730 82 769 82 776 82 782 82 789 82 795 82 834 82 840 82 847 82 853 82 860 82 898 82 905 82 911 82 918 82 924 82 963 82 969 82 975 82 982 82 988 83 027 83 033 83 0+0 83 046 83 052 83 091 83 097 83104 83110 83117 83155 83161 83168 83 174 83 181 83 219 83 225 83 232 83 238 83 245 83 283 83 289 83 2% 83 302 83 308 83 347 83 353 83 359 83 366 83 372 83 410 83 417 83 423 83 429 83 436 83 474 83 480 83 487 83 493 83 499 83 537 83 544 83 550 83 556 "83 563 83 601 83 607 83 613 83 620 83 626 83 664 83 670 83 677 83 683 83 689 83 727 83 734 83 740 83 746 83 753 83 790 83 797 83 803 83 809 83 816 83 853 83 860 83 866 83 872 83 879 83 916 83 923 83 929 83 935 83 942 83 979 83 985 83 992 83 998 84 004 84042 84 048 84 055 84 061 84 067 84105 84111 84117 84123 84130 84167 84173 84180 84186 84192 84 230 84 236 84 242 84 248 84 255 84 292 84 298 84 305 84 311 84 317 84 354 84 361 84 367 84 373 84379 84417 84423 84429 84 435 84 442 84 479 84485 84 491 84 497 84 504 84 541 84 547 84 553 84 559 84 566 6 8 9 600-660 660 - 700 14 700-760 tji k f ^ '■ N O 1 2 3 4 5 6 7 8 9 700 84 510 84 516 84 522 84 528 84 535 84 541 84 547 84 553 84 559 84 566 701 84 572 84 578 84 584 84 590 84 597 84 603 84 609 84 615 84 621 84 628 702 84634 84 640 84 646 84 652 84 658 84665 84671 84677 84683 84689 703 846% 84 702 84 708 84 714 84 720 84 726 84 733 84 739 84 745 84 751 704 84 757 84 763 84 770 84 776 84 782 84 788 84 794 84 800 84 807 84 813 706 84 819 84 825 84 831 84 837 84 844 84 850 84 856 84 862 84 868 84 874 706 84 880 84 887 84 893 84 899 84 905 84 911 84 917 84 924 84 930 84 936 707 84 942 84 948 84 954 84 960 84 %7 84 973 84 979 84 985 84 991 84 997 708 85 003 85 009 85 016 85 022 85 028 85 034 85 040 85 046 85 052 85 058 709 85 065 85 071 85 077 85 083 85 089 85 095 85 101 85 107 85 114 85 120 710 85 126 85132 85 138 85 144 85150 85156 85163 85169 85175 85181 711 85 187 85 193 85 199 85 205 85 211 85 217 85 224 85 230 85 236 85 242 712 85 248 85 254 85 260 85 266 85 272 85 278 85 285 85 291 85 297 85 303 713 85 309 85 315 85 321 85 327 85 333 85 339 85 345 85 352 85 358 85 364 714 85 370 85 376 85 382 85 388 85 394 85 400 85 406 85 412 85 418 85 425 715 85 431 85 437 85 443 85 449 85 455 85 461 85 467 85 473 85 479 85 485 716 85 491 85 497 85 503 85 509 85 516 85 522 85 528 85 534 85 540 85 546 717 85 552 85 558 85 564 85 570 85 576 85 582 85 588 85 594 85 600 85 606 718 85 612 85 618 85 625 85 631 85 637 85 643 85 649 85 655 85 661 85 667 719 85 673 85 679 85 685 85 691 85 697 85 703 85 709 85 715 85 721 85 727 720 85 733 85 739 85 745 85 751 85 757 85 763 85 769 85 775 85 781 85 788 721 85 794 85 800 85 806 85 812 85 818 85 824 85 830 85 836 85 842 85 848 722 85 854 85 860 85 866 85 872 85 878 85 884 85 890 85 8% 85 902 85 908 723 85 914 85 920 85 926 85 932 85 938 85 944 85 950 85 956 85 %2 85 968 724 85 974 85 980 85 986 85 992 85 998 86004 86010 86016 86022 86028 725 86034 86040 86046 86052 86058 86064 86070 86076 86082 86088 726 86094 86100 86106 86112 86118 86124 86130 86136 86141 86147 727 86153 86159 86165 86171 86177 86183 86189 86195 86 201 86 207 728 86 213 86 219 86 225 86 231 86 237 86 243 86 249 86 255 86 261 86 267 729 86273 86279 86 285 86291 86 297 86 303 86 308 86314 86 320 86326 730 86332 86338 86344 86350 86 356 86362 86368 86374 86380 86386 731 86392 86 398 86404 86410 86 415 86 421 86 427 86 433 86 439 86445 732 86451 86457 86463 86469 86475 86481 86487 86493 86499 86504 733 86510 86 516 86 522 86 528 86 534 86 540 86 546 86 552 86 558 86564 734 86570 86 576 86 581 86 587 86 593 86599 86605 86611 86617 86623 735 86629 86635 86641 86646 86652 86658 86664 86670 86676 86682 736 86688 86 694 86 700 86 705 86 711 86 717 86 723 86 729 86 735 86 741 737 86 747 86 753 86 759 86 764 86 770 86 776 86 782 86 788 86 794 86800 738 86806 86 812 86 817 86 823 86 829 86 835 86841 86 847 86853 86 859 739 86864 86870 86876 86 882 86 888 86894 86900 86906 86911 86917 740 86923 86929 86935 86 941 86947 86953 86958 86964 86970 86976 741 86982 86988 86994 86 999 87 005 87 011 87 017 87023 87029 87035 742 87040 87 046 87052 87 058 87 064 87 070 87 075 87081 87 087 87 093 743 87099 87105 87111 87116 87122 87128 87134 87140 87146 87151 744 87157 87163 87169 87175 87181 87186 87192 87198 87 204 87 210 745 87 216 87 221 87 227 87 233 87 239 87 245 87 251 87 256 87 262 87 268 746 87 274 87 280 87 286 87 291 87 297 87303 87 309 87 315 87 320 87326 747 87 332 87 338 87 344 87 349 87 355 87 361 87 367 87 373 87 379 87 384 748 87 390 87 3% 87 402 87 408 87413 87 419 87 425 87 431 87 437 87442 749 87 448 87454 87 460 87 466 87 471 87 477 87 483 87 489 87 495 87 500 750 87506 87 512 87 518 87 523 87 529 87 535 87 541 87 547 87 552 87 558 N 1 2 3 4 5 6 7 8 9 700-760 750-800 15 N 12 3 4 5 6 7 8 9 750 87 506 87 512 87 518 87 523 87 529 87 535 87 541 87 547 87 552 87 558 751 87 564 87 570 87 576 87 581 87 587 87 593 87 599 87604 87 610 87 616 752 87 622 87 628 87 633 87639 87645 87 651 87656 87 662 87668 87 674 753 87 679 87685 87 691 87697 87 703 87 708 87 714 87 720 87 726 87 731 754 87 737 87 743 87 749 87 754 87 760 87 766 87 772 87 777 87 783 87 789 755 87 795 87 800 87 806 87 812 87818 87 823 87 829 87 835 87841 87 846 756 87 852 87 858 87 864 87 869 87 875 87 881 87 887 87 892 87 898 87904 757 87 910 87915 87 921 87927 87933 87 938 87944 87 950 87 955 87 %1 758 87 %7 87973 87978 87 984 87 990 879% 88 001 88007 88013 88018 759 88024 88030 88036 88041 88047 88053 88058 88064 88070 88076 760 88081 88087 88093 88098 88104 88110 88116 88121 88127 88133 761 88138 88144 88150 88156 88161 88167 88173 88178 88184 88190 762 88195 88 201 88 207 88 213 88 218 88 224 88 230 88 235 88 241 88247 763 88 252 88 258 88 264 88 270 88 275 88 281 88 287 88 292 88298 88304 764 88309 88 315 88321 88326 88332 88338 88343 88349 88 355 88360 765 88366 88 372 88 377 88 383 88 389 88 395 88400 88406 88412 88417 766 88423 88 429 88434 88 440 88446 88451 88457 88463 88468 88474 767 88480 88485 88491 88497 88 502 88 508 88 513 88 519 88525 88 530 768 88 536 88 542 88 547 88 553 88 559 88 564 88 570 88 576 88 581 88 587 769 88 593 88 598 88604 88 610 88615 88621 88 627 88632 88638 88643 770 88 649 88 655 88 660 88666 88672 88677 88683 88689 88694 88 700 771 88 705 88 711 88 717 88 722 88 728 88 734 88 739 88 745 88 750 88 756 1 772 88 762 88 767 88 773 88 779 88 784 88 790 88 795 88 801 88807 88812 773 88818 88 824 88 829 88835 88 840 88846 88 852 88857 88863 88868 774 88874 88880 88 885 88 891 88 897 88902 88908 88913 88919 88925 775 88930 88936 88941 88947 88953 88958 88964 88 %9 88975 88981 776 88986 88992 88997 89003 89009 89014 89020 89025 89031 89037 777 89042 89048 89053 89059 89064 89070 89076 89081 89087 89092 778 89098 89104 89109 89115 89120 89126 89131 89137 89143 89148 779 89154 89159 89165 89170 89176 89182 89187 89193 89198 89204 780 89209 89 215 89221 89 226 89232 89 237 89 243 89 248 89 254 89260 781 89 265 89 271 89 276 89 282 89 287 89 293 89 298 89304 89 310 89315 782 89321 89 326 89 332 89337 89343 89348 89 354 89360 89365 89371 783 89376 89382 89387 89393 89 398 89404 89409 89415 89421 89426 784 89432 89437 89 443 89448 89454 89459 89465 89470 89476 89481 785 89487 89492 89498 89 504 89 509 89 515 89 520 89 526 89 531 89537 786 89 542 89 548 89 553 89 559 89 564 89 570 89 575 89 581 89 586 89 592 787 89 597 89 603 89 609 89 614 89620 89625 89631 89636 89642 89647 788 89653 89 658 89 664 89669 89 675 89680 89 686 89691 89 697 89 702 789 89 708 89 713 89 719 89 724 89 730 89 735 89 741 89 746 89 752 89 757 790 89 763 89 768 89 774 89 779 89 785 89790 897% 89 801 89807 89812 791 89 818 89823 89 829 89 834 89 840 89 845 89 851 89 856 89 862 89867 792 89 873 89 878 89 883 89 889 89 894 89900 89905 89911 89916 89922 793 89927 89 933 89 938 89944 89949 89955 89960 89966 89971 89977 794 89982 89988 89 993 89998 90004 90009 90015 90020 90026 90031 795 90037 90042 90048 90053 90059 90064 90069 90075 90080 90086 7% 90091 90097 90102 90108 90113 90119 90124 90129 90135 90140 797 90146 90151 90157 90162 90168 90173 90179 90184 90189 90195 798 90200 90206 90211 90217 90222 90 227 90 233 90238 90244 90249 799 90255 90260 90266 90271 90276 90282 90 287 90293 90 298 90304 800 90309 90314 90320 90325 90331 90336 90342 90347 90352 90358 N 12 3 4 5 6 7 8 9 .1, 760-800 ill 16 800-850 N O 1 2 3 4 5 6 7 8 9 80O 90309 90314 90320 90 325 90331 90336 90 342 90 347 90 352 90 358 801 90363 90 369 90 374 90 380 90 385 90390 903% 90 401 90 407 90 412 802 90417 90423 90428 90434 90439 90 445 90450 90 455 90 461 90 466 803 90472 90477 90482 90488 90493 90499 90 504 90 509 90 515 90 520 804 90 526 90 531 90 536 90 542 90 547 90553 90 558 90 563 90 569 90 574 805 90 580 90 585 90 590 90 5% 90601 90607 90612 90617 90623 90628 806 90634 90 639 90 644 90 650 90655 90 660 90666 90 671 90 677 90682 807 90687 90 693 90698 90 703 90 709 90 714 90 720 90 725 90 730 90 736 808 90 741 90 747 90 752 90 757 90 763 90 768 90 773 90 779 90 784 90 789 809- 90 79i 90800 90 806 90 811 90 816 90 822 90827 90 832 90 838 90 843 810 90849 90 854 90859 90 86i 90 870 90875 90 881 90 886 90891 90897 811 90 902 90 907 90 913 90 918 90 924 90 929 90 934 90940 90 945 90950 812 90956 90 %1 90966 90 972 90 977 90982 90988 90993 90 998 91004 813 91009 91014 91020 91025 91030 91036 91041 91046 91052 91057 814 91062 91068 91073 91078 91084 91089 91094 91100 91105 91110 815 91116 91121 91126 91132 91137 91142 91148 91153 91158 91164 816 91169 91174 91 180 91 185 91190 911% 91201 91206 91212 91217 817 91222 91228 91233 91238 91243 91249 91254 91259 91265 91270 818 91275 91281 91286 91291 91297 91302 91307 91312 91318 91323 819 91328 91334 91339 91344 91350 91355 91360 91365 91371 91376 820 91381 91387 91392 91397 91403 91408 91413 91418 91424 91429 821 91434 91440 91445 91450 91455 91461 91466 91471 91477 91482 822 91487 91492 91498 91503 91508 91514 91519 91524 91 529 91 535 1 823 91540 91545 91551 91556 91561 91566 91572 91577 91582 91587 824 91593 91598 91603 91609 91614 91619 91624 91630 91635 91640 825 91645 91651 91656 91661 91666 91672 91677 91682 91687 91693 826 91698 91703 91709 91714 91719 91724 91 730 91 735 91740 91745 827 91751 91756 91761 91766 91772 91777 91782 91787 91793 91798 828 91803 91808 91814 91819 91824 91829 91834 91840 91845 91850 829 91855 91861 91866 91871 91876 91 882 91 887 91892 91897 91903 830 91908 91913 91918 91924 91929 91934 91939 91944 91950 91955 831 91960 91 %5 91971 91976 91981 91 986 91991 91997 <92 002^ 92 007 832 92 012 92 018 92 023 92 028 92 033 92 038 92 044 92 049 92 054 92 059 833 92 065 92 070 92 075 92 080 92 085 92 091 92 0% 92101 92106 92111 834 92117 92122 92127 92132 92137 92143 92148 92153 92158 92163 835 92169 92174 92179 92184 92189 92195 92 200 92 205 92 210 92 215 836 92 221 92 226 92 231 92 236 92 241 92 247 92 252 92 257 92 262 92 267 837 92 273 92 278 92 283 92 288 92 293 92 298 92 3M 92 309 92 314 92 319 838 92 324 92 330 92 335 92 340 92 345 92 350 92 355 92 361 92 366 92 371 839 92 376 92 381 92 387 92 392 92 397 92 402 92 407 92 412 92 418 92 423 840 92 428 92 433 92 438 92 443 92 449 92 454 92 459 92 464 92 469 92 474 841 92 480 92 485 92 490 92 495 92 500 92 505 92 511 92 516 92 521 92 526 842 92 531 92 536 92 542 92 547 92 552 92 557 92 562 92 567 92 572 92 578 843 92 583 92 588 92 593 92 598 92 603 92 609 92 614 92 619 92 624 92 629 844 92 634 92 639 92 645 92 650 92 655 92 660 92 665 92 670 92 675 92 681 845 92 686 92 691 92 6% 92 701 92 706 92 711 92 716 92 722 92 727 92 732 846 92 737 92 742 92 747 92 752 92 758 92 763 92 768 92 773 92 778 92 783 847 92 788 92 793 92 799 92 804 92 809 92 814 92 819 92 824 92 829 92 834 848 92 840 92 845 92 850 92 855 92 860 92 865 92 870 92 875 92 881 92 886 849 92 891 92 8% 92 901 92 906 92 911 92 916 92 921 92 927 92 932 92 937 850 92 942 92 947 92 952 92 957 92 %2 92 %7 92 973 92 978 92983 92 988 N O 1 2 3 4 5 6 7 8 9 800-860 850-900 17 N O 1 2 3 4 5 6 7 8 9 850 92 942 92 947 92 952 92 957 92 %2 92 %7 92 973 92 978 92 983 92 988 851 92 993 92 998 93 003 93 008 93 013 93 018 93 024 93 029 93 034 93 039 852 93 044 93 049 93 054 93 059 93 064* 93 069 93 075 93 080 93 085 93 090 853 93 095 93 100 93105 93110 93 115 93120 93 125 93 131 93 136 93141 854 93146 93151 93156 93 161 93 166 93171 93176 93181 93186 93192 855 93197 93 202 93 207 93 212 93 217 93 222 93 227 93 232 93 237 93 242 856 93 247 93 252 93 258 93 263 93 268 93 273 93 278 93 283 93 288 93 293 857 93 298 93 303 93 308 93 313 93 318 93 323 93 328 93 334 93 339 93 344 858 93 349 93 354 93 359 93 364 93 369 93 374 93 379 93 384 93 389 93 394 859 93 399 93 404 93 409 93 414 93 420 93 425 93 430 93 435 93 440 93 445 860 93 450 93 455 93 460 93 465 93 470 93 475 93 480 93 485 93 490 93 495 861 93 500 93 505 93 510 93 515 93 520 93 526 93 531 93 536 93 541 93 546 862 93 551 93 556 93 561 93 566 93 571 93 576 93 581 93 586 93 591 93 5% 863 93 601 93 606 93 611 93 616 93 621 93 626 93 631 93 636 93 641 93 646 864 93 651 93 656 93 661 93 666 93 671 93 676 93 682 93 687 93 692 93 697 865 93 702 93 707 93 712 93 717 93 722 93 727 93 732 93 737 93 742 93 747 866 93 752 93 757 93 762 93 767 93 772 93 777 93 782 93 787 93 792 93 797 867 93 802 93 807 93 812 93 817 93 822 93 827 93 832 93 837 93 842 93 847 868 93 852 93 857 93 862 93 867 93 872 93 877 93 882 93 887 93 892 93 897 869 93 902 93 907 93 912 93 917 93 922 93 927 93 932 93 937 93 942 93 947 870 93 952 93 957 93 962 93 967 93 972 93 977 93 982 93 987 93 992 93 997 871 94 002 94 007 94 012 94 017 94 022 94 027 94 032 94 037 94 042 94047 872 94052 94 057 94 062 94 067 94 072 94 077 94 082 94 086 94 091 940% 873 94101 94106 94111 94116 94121 94126 94131 94136 94141 94146 874 94151 94156 94 161 94166 94171 94176 94181 94186 94191 941% 875 94 201 94 206 94 211 94 216 94 221 94 226 94 231 94 236 94 240 94 245 876 94 250 94 255 94 260 94 265 94 270 94 275 94 280 94 285 94 290 94 295 877 94 300 94 305 94 310 94 315 94 320 94 325 94 330 94 335 94 340 94 345 878 94 349 94 354 94 359 94 364 94 369 94 374 94379 94 384 94 389 94 394 879 94 399 94 404 94 409 94 414 94 419 94 424 94 429 94 433 94 438 94 443 880 94 448 94 453 94 458 94 463 94 468 94 473 94 478 94 483 94 488 94 493 881 94 498 94 503 94 507 94 512 94 517 94 522 94 527 94 532 94 537 94 542 882 94 547 94 552 94 557 94 562 94 567 94 571 94 576 94 581 94 586 94 591 883 94 5% 94 601 94 606 94 611 94 616 94 621 94 626 94 630 94 1635 9r640 884 94 645 94 650 94 655 94 660 94 665 94 670 94675 94 680 94685 94689 885 94 694 94 699 94 704 94 709 94 714 94 719 94 724 94 729 94 734 94 738 886 94 743 94 748 94 753 94 758 94 763 94 768 94 773 94 778 94 783 94 787 887 94 792 94 797 94 802 94 807 94 812 94 817 94 822 94 827 94 832 94 836 888 94 841 94 846 94 851 94 856 94 861 94 866 94 871 94 876 94 880 94 885 889 94 890 94 895 94 900 94 905 94 910 94 915 94919 94 924 94929 94 934 890 94 939 94 944 94 949 94 954 94 959 94963 94968 94973 94 978 94 983 891 94 988 94 993 94 998 95 002 95 007 95 012 95 017 95 022 95 027 95 032 892 95 036 95 041 95 0^ 95 051 95 056 95 061 95 066 95 071 95 075 95 080 893 95 085 95 090 95 095 95 100 95 105 95 109 95 114 95119 95 124 95129 894 95 134 95139 95143 95148 95153 95158 95 163 95168 95173 95177 895 95182 95187 95 192 95197 95 202 95 207 95 211 95 216 95 221 95 226 896 95 231 95 236 95 240 95 245 95 250 95 255 95 260 95 265 95 270 95 274 897 95 279 95 284 95 289 95 294 95 299 95 303 95 308 95 313 95 318 95 323 898 95 328 95 332 95 337 95 342 95 347 95 352 95 357 95 361 95 366 95 371 899 95 376 95 381 95 386 95 390 95 395 95 400 95 405 95 410 95 415 95 419 900 95 424 95 429 95 434 95 439 95 444 95 448 95 453 95 458 95 463 95 468 N O 1 2 3 4 5 6 7 8 9 ill 860-900 18 900-960 960-1000 19 |i^ r N O 1 2 3 4 5 6 7 8 9 900 95 424 95 429 95 434 95 439 95 444 95 448 95 453 95 458 95 463 95 468 901 95 472 95 477 95 482 95 487 95 492 95 497 95 501 95 506 95 511 95 516 902 95 521 95 525 95 530 95 535 9*5 540 95 545 95 550 95 554 95 559 95 564> 903 95 @) 95 574 95 578 95 583 95 588 95 593 95 598 95 602 95 607 95 612 904 95 617 95 622 95 626 95 631 95 636 95 641 95 6*6 95 650 95 655 95 660 905 95 665 95 670 95 674 95 679 95 684 95 689 95 694 95 698 95 703 95 708 906 95 713 95 718 95 722 95 727 95 732 95 737 95 742 95 746 95 751 95 756 907 95 761 95 766 95 770 95 775 95 780 95 785 95 789 95 794 95 799 95 804 908 95 809 95 813 95 818 95 823 95 828 95 832 95 837 95 842 95 847 95 852 909 95 856 95 861 95 866 95 871 95 875 95 880 95 885 95 890 95 895 95 899 910 95 904 95 909 95 914 95 918 95 923 95 928 95 933 95 938 95 942 95 947 911 95 952 95 957 95 %1 95 966 95 971 95 976 95 980 95 985 95 990 95 995 912 95 999 %004 %009 %014 96019 %023 %028 %033 %038 %042 913 %0f7 %052 %057 %061 %066 96 071 %076 %080 %085 96090 914 96095 %099 96104 %109 % 114 %118 %123 %128 %133 96137 915 %142 96147 %152 % 156 96161 96166 %171 %175 %180 96185 916 %190 %194 %199 96 20* 96 209 %213 96 218 %223 %227 96 232 917 %237 96242 %246 96251 %256 %261 %265 %270 96 275 96 280 918 %284 %289 %294 % 298 96303 %308 %313 96 317 %322 %327 919 96332 %336 %341 %346 %350 %355 %360 96365 %369 96374 | 920 96379 96384 %388 %393 96398 96402 %407 %412 96417 %421 921 96426 %431 %435 %440 96445 %450 96454 %459 %464 96468 922 %473 96478 %483 %487 %492 %497 96 501 96 506 %511 %515 923 %520 96 525 %530 %534 %539 %544 96 548 %553 96 558 %562 924 96567 %572 %577 96 581 %586 96 591 96 595 96600 96605 96609 925 96614 %619 %624 %628 %633 %638 96642 96647 %652 96 656 926 %661 %666 %670 96675 96680 %685 %6S9 96694 96699 %703 927 %708 %713 %717 96 722 %727 %731 %736 96 741 %745 %750 928 %755 %759 %764 %769 %774 %778 %783 96 788 96 792 96 797 929 %802 %806 %811 %816 %820 96825 %830 9^834 %839 %844 | 930 %848 %853 %858 96862 %867 %872 %876 96 881 96 886 %890 931 %895 %900 %904 96909 %914 %918 %923 %928 96932 %937 932 %942 %946 %951 96956 %960 96 %5 96970 %974 96979 %984 933 96988 %993 %997 97 002 97007 97 011 97 016 97 021 97 025 97 030 934 97035 97039 97044 97 0*9 97 053 97058 97 063 97 067 97 072 97 077 935 97 081 97086 97090 97095 97100 97104 97109 97114 97118 97123 936 97128 97132 97137 97142 97146 97151 97155 97160 97165 97169 937 97174 97179 97183 97188 97192 97197 97 202 97 206 97 211 97 216 938 97 220 97 225 97 230 97 234 97 239 97 243 97 248 97 253 97 257 97 262 939 •97 267 97 271 97 276 97 280 97 285 97 290 97 294 97 299 97 30* 97 308 940 97 313 97 317 97 322 97 327 97331 97 336 97 340 97 345 97 350 97 354 9*1 97 359 97 364 97368 97 373 97 377 97 382 97 387 97 391 97 396 97 400 942 97 405 97 410 97 414 97 419 97 424 . 97428 97 433 97 437 97442 97 447 943 97 451 97 456 97 460 97 465 97 470 97 474 97479 97 483 97 488 97493 944 97 497 97 502 97 506 97 511 97 516 97 520 97 525 97 529 97 534 97 539 945 97 543 97 548 97 552 97 557 97 562 97 566 97 571 97 575 97 580 97 585 946 97 589 97 594 97 598 97 603 97 607 97 612 97 617 97621 97 626 97 630 947 97 635 97 640 97 644 97 649 97653 97 658 97 663 97 667 97 672 97 676 948 97 681 97 685 97 690 97 695 97 699 97 704 97 708 97 713 97 717 97 722 949 97 727 97 731 97 736 97 740 97 745 97 749 97 754 97 759 97 763 97 768 950 97 772 97 777 97 782 97 786 97 791 97 795 97 800 97 80* 97 809 97 813 N O 1 2 3 4 5 6 7 8 9 N o 1 2 3 4 5 6 7 8 9 950 97 772 97 777 97 782 97 786 97 791 97 795 97 800 97 804 97 809 97 813 951 97 818 97 823 97 827 97 832 97 836 97 841 97 845 97 850 97 855 97 859 952 97 864 97 868 97 873 97 877 97 882 97 886 97 891 97 896 97 900 97 905 953 97 909 97 914 97 918 97 923 97 928 97 932 97 937 97941 97946 97950 954 97955 97959 97964 97968 97 973 •97 978 97 982 97 987 97 991 97 9% 955 98000 98005 98009 98014 98019 98 023 98028 98032 98037 98041 956 98046 98050 98055 98059 98 06* 98068 98073 98078 98082 98087 957 98091 98096 98100 98105 98109 98114 98118 98123 98127 98132 958 98137 98141 98146 98150 98155 98159 98164 98168 98173 98177 959 98182 98186 98191 98195 98 200 98 204 98209 98 214 98 218 98 223 960 98 227 98 232 98 236 98 241 98 245 98 250 98 254 98 259 93 263 98 268 961 98 272 98 277 98 281 98 286 98 290 98 295 98 299 98 304 98 308 98 313 %2 98318 98322 98327 98331 98 336 98340 98 345 98349 98 354 98 358 %3 98 363 98 367 98372 98376 98381 98385 98390 98394 98 399 98 403 964 98408 98 412 98417 98421 98426 98 430 98435 98439 98444 98448 965 98453 98457 98462 98466 98471 98 475 98480 98484 98489 98493 966 98 498 98 502 98 507 98 511 98 516 98 520 98 525 98 529 98 534 98 538 %7 98 543 98 547 98 552 98 556 98 561 98 565 98 570 98 574 98 579 98 583 968 98 588 98 592 98 597 98 601 98605 98610 98 614 98619 98 623 98628 %9 98632 98637 98641 98646 98650 98655 98659 98664 98668 98673 970 98677 98682 98 686 98 691 98695 98 700 98 704 98 709 98 713 98 717 971 98 722 98 726 98 731 98 735 98 740 98 744 98 749 98 753 98 758 98 762 972 98 767 98 771 98 776 98 780 98 784 98 789 98 793 98 798 98 802 98 807 973 98 811 98 816 98 820 98 825 98 829 98834 98 838 98 843 98 847 98 851 974 98856 98860 98 865 98869 98 874 98878 98 883 98887 98892 98 8% 975 98900 98905 98909.98914 98918 98923 98927 98 932 98936 98941 976 98945 98949 98954 98958 98 963 98 %7 '98 972 98976 98981 98985 977 98989 98 994 98998 99003 99007 99012 99 016 99021 99025 99029 978 99034 99038 990*3 99047 99052 99056 99061 99065 99069 99074 979 99078 99083 99087 99092 99096 99100 99105 99109 99114 99118 980 99123 99127 99131 99136 99140 99145 99149 99154 99158 99162 981 99167 99171 99176 99180 99185 99189 99193 99198 99 202 99 207 982 99 211 99 216 99 220 99 224 99 229 99 233 99 238 99 242 99 247 99 251 983 99 255 99 260 99 264 99 269 99 273 99 277 99 282 99 286 99 291 99 295 984 99300 99 30* 99308 99313 99 317 99322 99 326 99 330 99335 99339 985 99344 99348 99 352 99357 99361 99366 99 370 99374 99379 99383 986 99388 99392 99 396 99401 99405 99410 99414 99 419 99 423 99427 987 99432 99 436 99441 99445 99449 99454 99458 99463 99 467 99471 988 99476 99 480 99484 99 489 99 493 99 498 99 502 99 506 99 511 99 515 989 99 520 99 524 99 528 99 533 99 537 99 542 99 546 99 550 99 555 99 559 990 99 564 99 568 99 572 99 577 99 581 99 585 99590 99 594 99 599 99603 991 99607 99612 99 616 99 621 99 625 99629 99634 99638 99642 99647 992 99651 99656 99660 99664 99669 99673 99677 99682 99686 99691 993 99695 99699 99 704 99 708 99 712 99717 99 721 99 726 99 730 99 734 994 99 739 99 743 99 747 99 752 99 756 99 760 99 765 99 769 99 7>4 99 778 995 99 782 99 787 99 791 99 795 99800 99804 99 808 99 813 99 817 99 822 9% 99826 99 830 99 835 99 839 99 843 99848 99852 99856 99861 99865 997 99 870 99 874 99878 99 883 99 887 99891 998% 99900 99904 99909 998 99913 99 917 99 922 99 926 99 930 99935 99939 99944 99948 99952 999 99957 99961 99 %5 99970 99 974 99978 99983 99987 99991 999% lOOO 00000 00004 00009 00013 00017 00022 00026 00030 00035 00039 N O 1 2 3 4 5 6 7 8 9 900-960 960-1000 20 TABLE IL-LOGAEITHMS OF CONSTANTS. i I I J T ' Circumference of the Circle in decrees = 360 log 2.55 630250 4.33 445 375 6.11260 500 0.49 714987 Circumference of the Circle in minutes = 21 600 Circumference of the Circle in seconds =1 296 000 If the radius r = 1, half the Circumference of the Circle is IT — 3. 14 159 265 358 979 323 846 264 338 ^^S Also : 2x= 6.28 318 531 4 Tr = 12. 56 637 061 ^= 1.57079633 2 ^= 1.04 719 755 3 ^''= 4.18 879020 3 ^= 0.78539816 ^= 0.52 359878 6 i= 0.31830989 w ~= 0.15 915 494 1= 0.95492966 -= 1.27323 954 ^ = 0.23 873 241 4-^ log 0.79817 987 1.09920986 0.19611988 0.02 002 862 0.62 208861 9.89 508988-10 9.71899862-10 9.50 285 013-10 9.20182013-10 9.97997138-10 0.10491012 9.37 791139-10 t8 = 9. 86960 440 1 = 0. 10 132 lis Vt = 1.77 245 385 ^ =0.56418958 J? = 0. 97 720 502 ^ = 1.12837917 ^T = 1.46 459 189 ^ =0.68278406 ^ir2 = 2.14 502 940 l\^ =0.62035 049 i/? = 0. 80 599 598 log 0.99429 975 9.00 570025-10 0.24 857494 9.75142 506-10 9.98998 569-10 0.05 245 506 0.16 571662 9.83 428338-10 0.33143 325 9.79263 713-10 9.90633 287-10 Arc a, whose length is equal to the radius r, is : in degrees a° = ^^ = 57.29577 95 1°. in minutes a' _ 10 800 _ , ^^^ j^ ^^^, log 1. 75 812 263 3.53 627 388 5.31442 513 2.05 915 263 3.83 730388 5.61545 513 8. 24 187 737 - 10 6.46372 612-10 4.68 557487-10 7.94 084 737-10 6.16269612-10 4.38 454487-10 4.68557487-10 in seconds Arc 2 a, whose lengt in degrees In minutes in seconds If the radius r = 1, i for 1 degree . . . for 1 minute . . . .a" = 648 000 = 206264.806".. IT h is equal to twice the radius, 2 r, is : . 2 ao . . . . = ^^ = 114. 59 155 903° w .2a' .... = ^^^^ = 6875.49354'.. w . 2 a" . . . . = ^ ^^ ^^ . . . = 412 529. 612" . . m the length of the arc is : . . ^ - "" - 0. 01 745 329. . . a° 180 fnr 1 Rpfiond a' 10800" 1 ir .... = 0.00000485... . .. = 0.0087266i... — 00 014 544. . . for \ degree . . . for J minute. . . for J second . . . Sin 1" in the unit ci • • " ■ • • • • « — - . . . ^ a" 648 000 1 IT **2a° "" 860'*" 1 ir "2a' 21600* 1 » -.... = 0.00000242... J --.. = 0.00000485... "2a'i"" 129600( rcle 21 tf O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 16 16 17 18 19 20 21 22 23 24 25 26 27 28 29 ao ft TABLE m. THE LOGAEITHMS OF THE TRIGOIN^OMETRIC FTJNCTIOIS^S : Prom (f to 0° 3', or 89° 57' to 90°, for every second ; From 0° to 2°, or 88° to 90°, for every ten seconds ; Prom 1° to 89°, for every minute. Note. To all the logarithms — 10 is to be appended. log sin 0' log tan = log sin log cos = 10. GO 000 O' 1' 2' 4. 68 557 4.98 660 5.16 270 5. 28 763 5.38454 5.46373 5. 53 067 5.58 866 5. 63 982 5.68 557 5. 72 697 5.76 476 5.79952 5. 83 170 5. 86 167 5.88%9 5. 91 602 5.94 085 5.96433 5.98 660 6. 00 779 6. 02 800 6.04 730 6.06 579 6.08 351 6.10055 6. 11 694 6. 13 273 6. 14 797 6.46 373 6.47 090 6. 47 797 6. 48 492 6.49175 6.49 849 6.50 512 6. 51 165 6. 51 808 6. 52 442 6. 53 067 6. 53 683 6. 54 291 6. 54 890 6. 55 481 6.56064 6. 56 639 6. 57 207 6. 57 767 6.58320 6. 58 866 6.59 406 6.59939 6.60465 6.60985 6. 61 499 6.62 007 6. 62 509 6.63 006 6.63 4% 6.76476 6. 76 836 6. 77 193 6. 77 548 6.77 900 6. 78 248 6. 78 595 6.78938 6. 79 278 6.79616 6.79 952 6.80 285 6.80615 6.80943 6. 81 268 6. 81 591 6. 81 911 6. 82 230 6. 82 545 6. 82 859 6. 83 170 6. 83 479 6. 83 786 6.84 091 6.84 394 6.84 694 6.84 993 85 289 85 584 85 876 tf 6.16 270 6.63 982 6.86167 69' 68' 67' eo 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 tf ff 30 31 32 ZZ 34 36 36 37 38 39 40 41 42 43 44 45 46 47 48 49 60 51 52 53 54 55 56 57 58 59 60 O' 1' 2' ff 6. 16 270 6.17 694 6.19072 6.20 409 .6.21705 6.22 964 6. 24 188 6. 25 378 6. 26 536 6.27 664 6. 28 763 6. 29 836 6; 30 882 6.31904 6.32 903 6. 33 879 6. 34 833 6. 35 767 6.36682 6.37 577 6.38 454 6. 39 315 6. 40 158 6.40985 6. 41 797 6.42 594 6.43 376 6.44145 6.44 900 6. 45 643 6. 63 982 6. 64 462 6.64 936 6.65 406 6. 65 870 6.66330 6. 66 785 6. 67 235 6.67 680 6. 68 121 6. 68 557 6.68990 6.69418 6.69 841 6. 70 261 6.70676 6. 71 088 6. 71 4% 6.71900 6. 72 300 6. 72 697 6.73 090 6. 73 479 6. 73 865 6. 74 248 6.74 627 6. 75 003 6. 75 376 6. 75 746 6. 76 112 6. 86 167 6.86455 6. 86 742 6.87 027 6.87310 6.87 591 6. 87 870 6. 88 147 6. 88 423 6.88697 6.88969 6. 89 240 6.89 509 6. 89 776 6.90 042 6.90306 6.90 568 6. 90 829 6. 91 088 6. 91 346 6. 91 602 6. 91 857 6. 92 110 6. 92 362 6.92 612 6. 92 861 6. 93 109 6. 93 355 6. 93 599 6. 93 843 6.46373 6.76476 6.94 085 69' 58' 57' ft log cot = log COS log sin = 10. 00 000 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 6 4 3 2 1 O r9 89' log cos I fl it [ 22 OP \ t ff log sin log tau log COS ff * f ff log sin 7. 46 373 log tan log COS ff f O — _^ 10.00000 6O lOO 7. 46 373 10.00000 5O 10 5.68 557 5. 68 557 10.00000 50 10 7.47 090 7. 47 091 10.00000 50 20 5.98660 5.98660 10.00000 40 20 7.47 797 7. 47 797 10.00000 40 30 6.16 270 6. 16 270 10.00000 30- 30 7. 48 491 7. 48 492 10.00000 30 40 6. 28 763 6. 28 763 10.00000 20 40 7. 49 175 7.49176 10.00000 20 50 6.38 454 6. 38 454 10.00000 10 50 7.49 849 7.49 849 10.00000 10 1 6.46373 6. 46 373 10.00000 059 110 7.50 512 7.50512 10.00000 049 10 6. 53 067 6. 53 067 10.00000 50 10 7.51165 7. 51 165 10.00000 50 20 6.58 866 6.58 866 10.00000 40 20 7.51808 7.51809 10.00000 40 30 6.63 982 6.63 982 10.00000 30 30 7.52 442 7.52 443 10.00000 30 40 6. 68 557 6. 68 557 10.00000 20 40 7. 53 067 7.53 067 10.00000 20 50 6.72 697 6. 72 697 10.00000 10 50 7.53 683 7. 53 683 10.00000 10 2 6.76476 6.76476 10.00000 058 12 7. 54 291 7.54 291 10.00000 048 10 6.79952 6.79952 10.00000 50 10 7. 54 890 7. 54 890 10.00000 50 20 6.83170 6. 83 170 10.00000 40 20 7. 55 481 7. 55 481 10.00000 40 30 6. 86 167 6. 86 167 10.00000 30 30 7.56064 7.56064 10.00000 30 40 6.88%9 6. 88 %9 10.00000 20 40 7.56639 7.56639 10.00000 20 50 6.91602 6. 91 602 10.00000 10 50 7. 57 206 7.57 207 10.00000 10 3 6.94085 6.94085 10.00000 057 13 7. 57 767 7. 57 767 10.00000 047 10 6.% 433 6.96433 10.00000 50 10 7.58320 7.58 320 10.00000 50 20 6.98 660 6.98661 10.00000 40 20 7.58866 7.58 867 1000000 40 30 7. 00 779 7.00 779 10.00000 30 30 7.59406 7.59406 10.00000 30 40 7.02 800 7.02 800 10.00000 20 40 7.59939 7.59939 10.00000 20 50 7.(H730 7. (H 730 10.00000 10 50 7.60465 7.60466 10.00000 10 4 7.06 579 7.06579 10.00000 056 14 7.60985 7.60986 10.00000 046 10 7.08 351 7.08352 10.00000 50 10 7. 61 499 7. 61 500 10.00000 50 20 7.10055 7.10055 10.00000 40 20 7.62 007 7.62 008 10.00000 40 30 7.11694 7.11694 10.00000 30 30 7. 62 509 7.62 510 10.00000 30 40 7. 13 273 7. 13 273 10.00000 20 40 7.63 006 7.63 006 10.00000 20 50 7. 14 797 7. 14 797 10.00000 10 50 7.63 4% 7. 63 497 10.00000 10 5 7.16270 7. 16 270 10.00000 055 16 7.63 982 7. 63 982 10.00000 045 10 7.17 694 7.17 6^ 10.00000 50 10 7.64 461 7. 64 462 10.00000 50 20 7.19072 7.19073 10.00000 40 20 7.64 936 7.64937 10.00000 40 30 7.20409 7.20409 10.00000 30 30 7.65 406 7.65 406 10.00000 30 40 7. 21 705 7. 21 705 10.00000 20 40 7.65 870 7.65 871 10.00000 20 50 7.22 964 7.22 96+ 10.00000 10 50 7.66330 7.66330 10.00000 10 6 7. 24 188 7. 24 188 10.00000 054 16 7. 66 784 7. 66 785 10.00000 044 10 7. 25 378 7. 25 378 10.00000 50 10 7.67 235 7. 67 235 10.00000 50 20 7.26536 7.26536 10.00000 40 20 7.67680 7.67 680 10.00000 40 30 7.27 661 7.27 664 10.00000 30 30 7.68121 7.68121 10.00000 30 40 7. 28 763 7. 28 764 10.00000 20 40 7.68 557 7. 68 558 9.99999 20 50 7. 29 836 7.29 836 10.00000 10 50 7.68989 7.68990 9.99999 10 7 7.30882 7.30882 10.00000 053 170 7.69417 7.69418 9.99999 043 10 7.31904 7.319(H 10.00000 50 10 7.69841 7.69 842 9.99 999 50 20 7.32 903 7.32 903 10.00000 40 20 7.70 261 7.70 261 9.99999 40 30 7. 33 879 7.33 879 10.00000 30 30 7.70676 7.70677 9.99 999 30 40 7. 34 833 7.34 833 10.00000 20 40 7.71088 7. 71 088 9.99 999 20 50 7.35 767 7. 35 767 10.00000 10 50 7. 71 496 7. 71 4% 9.99999 10 8 7.36682 7.36682 10.00000 052 18 7.71900 7.71900 9.99999 042 10 7.37 577 7.37 577 10.00000 50 10 7.72 300 7.72 301 9.99999 50 20 7.38454 7.38455 10.00000 40 20 7.72 697 7. 72 697 9.99999 40 30 7.39314 7.39315 10.00000 30 30 7.73 090 7.73 090 9.99999 30 40 7. 40 158 7. 40 158 10.00000 20 40 7. 73 479 7.73 480 9.99 999 20 50 7.40985 7.40985 10.00000 10 50 7. 73 865 7.73 866 9.99999 10 9 7. 41 797 7. 41 797 10.00000 51 190 7. 74 248 7.74248 9.99999 041 10 7. 42 594 7.42 594 10.00000 50 10 7.74 627 7. 74 628 9.99999 50 20 7.43 376 7.43 376 10.00000 40 20 7. 75 003 7.75 004 9.99 999 40 30 7.44145 7. 44 145 10.00000 30 30 7. 75 376 7. 75 377 9.99 999 30 40 7.44900 7.44 900 10.00000 20 40 7. 75 745 7. 75 746 9.99 999 20 50 7.45 643 7. 45 (AZ 10.00000 10 50 7. 76 112 7. 76 113 9.99 999 10 lOO 7.46373 7.46373 10.00000 05O 20 7.76475 7.76476 9.99 999 04O f ff log cos log cot log sin ff f f ff log cos log cot log sin ft t m 23 f ff log sin log tan log COS 9.99 999 ff f ' " log sin log tan log cos ft t 20 7.76 475 7.76476 04O 30 1 7. 94 084 7.94 086 9.99998 03O 10 7.76836 7.76 837 9.99 999 50 10 7.94 325 7.94 326 9.99998 50 20 7. 77 193 7. 77 194 9.99999 40 20 7.94 564 7.94 566 9.99 998 40 30 7. 77 548 7. 77 549 9.99 999 30 30 7. 94 802 7.94 804 9.99 998 30 40 7. 77 899 7.77900 9.99 999 20 40 7. 95 039 7.95 040 9.99998 20 50 7.78 248 7.78 249 9.99 999 10 50 7. 95 274 7. 95 276 9.99998 10 210 7. 78 594 7. 78 595 9.99 999 039 310 7.95 508 7.95 510 9.99 998 29 10 7. 78 938 7.78 938 9.99 999 50 10 7. 95 741 7. 95 743 9.99998 50 20 7.79278 7.79 279 9.99 999 40 20 7. 95 973 7.95 974 9.99998 40 30 7.79 616 7.79 617 9.99 999 30 30 7. % 203 7.96 205 9.99998 30 40 7.79 952 7.79952 9.99999 20 40 7.% 432 7.% 434 9.99 998 20 50 7.80 284 7.80 285 9.99999 10 50 7.%660 7.96662 9.99 998 10 220 7.80615 7.80615 9.99 999 038 32 7.% 887 7. 96 889 9.99998 28 10 7. 80 942 7.80943 9.99 999 50 10 7.97113 7.97114 9.99 998 50 20 7. 81 268 7. 81 269 9.99999 40 20 7. 97 337 7. 97 339 9.99 998 40 30 7. 81 591 7. 81 591 9.99999 30 30 7. 97 560 7.97 562 9.99 998 30 40 7.81911 7. 81 912 9.99 999 20 40 7. 97 782 7.97 784 9.99 998 20 50 7. 82 229 7. 82 230 9.99 999 10 50 7.98 003 7.98005 9.99998 10 230 7. 82 545 7. 82 546 9.99 999 037 330 7. 98 223 7. 98 225 9.99998 27 10 7. 82 859 7. 82 860 9.99 999 50 10 7. 98 442 7.98 444 9.99 998 50 20 7.83 170 7.83171 9.99999 40 20 7.98 660 7.98 662 9.99 998 40 30 7.83 479 7.83 480 9.99 999 30 30 7.98 876 7.98 878 9.99 998 30 40 7.83 786 7. 83 787 9.99 999 20 40 7.99092 7.99094 9.99998 20 50 7.84091 7.84092 9.99 999 10 50 7.99306 7.99 308 9.99998 10 240 7.84 393 7.84 394 9.99 999 036 340 7.99 520 7.99 522 9.99 998 26 1 10 7. 84 694 7.84 695 9.99999 50 10 7.99 732 7. 99 734 9.99 998 50 1 20 7.84 992 7.84 994 9.99 999 40 20 7.99943 7.99 946 9.99998 40 H 30 7. 85 289 7. 85 290 9.99999 30 30 8. 00 154 8.00156 9.99998 30 40 7. 85 583 7. 85 584 9.99999 20 40 8.00363 8.00365 9.99998 20 50 7. 85 876 7. 85 877 9.99 999 10 50 8.00 571 8.00 574 9.99998 10 250 7. 86 166 7. 86 167 9.99 999 035 35 8.00 779 8. 00 781 9.99 998 25 10 7.86455 7. 86 456 9.99999 50 10 8.00 985 8.00987 9.99 998 50 20 7. 86 741 7. 86 743 9.99 999 40 20 8.01190 8.01193 9.99998 40 30 7.87 026 7.87 027 9.99 999 30 30 8.01395 8. 01 397 9.99998 30 40 7.87309 7.87 310 9.99999 20 40 8. 01 598 8.01600 9.99 998 20 50 7. 87 590 7.87 591 9.99999 10 50 8.01801 8.01803 9.99 998 10 260 7. 87 870 7.87 871 9.99999 034 360 8.02 002 8.02 004 9.99998 24 10 7. 88 147 7. 88 148 9.99999 50 10 8. 02 203 8. 02 205 9.99998 50 20 7.88423 7.88424 9.99999 40 20 8. 02 402 8.02 405 9.99998 40 30 7.88697 7.88 698 9.99999 30 30 8.02 601 8.02 604 9.99998 30 40 7.88 %9 7. 88 970 9.99 999 20 40 8. 02 799 8. 02 801 9.99 998 20 50 7. 89 240 7.89 241 9.99 999 10 50 8.02 996 8.02 998 9.99998 10 270 7.89 509 7.89 510 9.99999 033 37 8.03192 8. 03 194 9.99997 23 10 7. 89 776 7.89 777 9.99999 50 10 8.03 387 8. 03 390 9.99997 50 20 7.900+1 7.90043 9.99 999 40 20 8. 03 581 8. 03 584 9.99997 40 1 30 7.90305 7.90307 9.99 999 30 30 8.03 775 8. 03 777 9.99 997 30 \ 40 7.90 568 7.90 569 9.99999 20 40 8. 03 %7 8. 03 970 9.99997 20 SO 7.90829 7.90830 9.99 999 10 50 8. 04 159 8.04162 9.99997 10 280 7. 91 088 7. 91 089 9.99999 032 380 8.04 350 8.04 353 9.99997 22 10 7. 91 346 7.91347 9.99 999 50 10 8.04 540 8. 04 543 9.99997 50 20 7. 91 602 7.91603 9.99999 40 20 8.04 729 8. 04 732 9.99997 40 30 7.91857 7. 91 858 9.99 999 30 30 8.04 918 8.04 921 9.99997 30 40 7.92110 7. 92 111 9.99998 20 40 8.05 105 8.05 108 9.99997 20 50 7.92 362 7.92 363 9.99998 10 50 8.05 292 8. 05 295 9.99997 10 290 7.92 612 7.92 613 9.99998 031 39 8. 05 478 8.05 481 9.99997 21 10 7.92 861 7. 92 862 9.99998 50 10 8. 05 663 8.05 666 9.99997 50 20 7. 93 108 7.93110 9.99998 40 20 8.05 848 8.05 851 9.99997 40 30 7. 93 354 7. 93 356 9.99998 30 30 8.06 031 8.06034 9.99 997 30 40 7. 93 599 7. 93 601 9.99 998 20 40 8. 06 214 8.06 217 9.99 997 20 50 7. 93 842 7. 93 844 9.99 998 10 50 8.06 3% 8.06 399 9.99 997 10 3O0 7.94 084 7.94086 9.99998 03O 4O0 8.06 578 8.06 581 9.99997 2O • f ff log COS log cot log sin ff f f ff log cos log cot log sin ft t 89' 24 Of 11 nil f '/ log sin log tan 8.06 581 log COS " ' f ff log sin log tan log COS 9.99995 ff f 4O0 8.06 578 9.99997 02O 6O0 8.16 268 8.16 273 OlO 10 8. 06 758 8.06 761 9.99997 50 10 8.16413 8.16417 9.99995 50 20 8.06938 8.06941 9.99997 40 20 8.16557 8.16 561 9.99995 40 30 8.07 117 8. 07 120 9.99997 30 30 8.16 700 8.16 705 9.99995 30 40 8. 07 295 8. 07 299 9.99997 20 40 8.16843 8.16 848 9.99995 20 50 8.07473 8. 07 476 9.99997 10 50 8.16986 8.16991 9.99995 10 410 8.07 650 8.07 653 9.99997 019 610 8. 17 128 8. 17 133 9.99995 9 10 8. 07 826 8. 07 829 9.99997 50 10 8. 17 270 8.17 275 9.99995 50 20 8.08002 8.0800i 9.99997 40 20 8.17 411 8.17 416 9.99995 40 30 8. 08 176 8.08180 9.99997 30 30 8. 17 552 8. 17 557 9.99995 30 40 8. 08 350 8. 08 354 9.99997 20 40 8.17 692 8. 17 697 9.99995 20 50 8. 08 524 8. 08 527 9.99997 10 50 8.17 832 8.17837 9.99995 10 420 8.08 6% 8.08 700 9.99 997 018 62 8.17 971 8.17976 9.99995 8 10 8.08 868 8. 08 872 9.99 997 50 10 8.18110 8. 18 115 9.99995 50 20 8.09040 8.09043 9.99997 40 20 8. 18 249 8.18 254 9.99995 40 30 8.09 210 8.09 214 9.99 997 30 30 8.18 387 8.18 392 9.99995 30 40 8.09380 8.09 384 9.99997 20 40 8. 18 524 8. 18 530 9.99995 20 50 8.09 550 8.09 553 9.99997 10 50 8.18662 8.18667 9.99995 10 430 8.09 718 8. 09 722 9.99997 017 63 8. 18 798 8.18 804 9.99995 7 10 8.09 886 8.09 890 9.99997 50 10 8.18935 8.18 940 9.99995 50 20 8.10054 8.10057 9.99997 40 20 8.19071 8.19076 9.99995 ¥i 30 8. 10 220 8.10 224 9.99 997 30 30 8.19 206 8.19212 9.99995 30 40 8.10386 8.10390 9.99997 20 40 8.19341 8.19347 9.99995 20 50 8.10552 8.10 555 9.99 9% 10 50 8.19476 8.19481 9.99995 10 440 8. 10 717 8. 10 720 9.99 9% 016 640 8.19610 8. 19 616 9.99 995 6 10 8.10881 8.10 884 9.999% 50 10 8.19 744 8. 19 749 9.99 995 50 20 8.11044 8.11048 9.999% 40 20 8.19 877 8.19 883 9.99995 40 30 8. 11 207 8.11211 9.999% 30 30 8.20010 8.20016 9.99995 30 40 8.11370 8.11373 9.999% 20 40 8. 20 143 8. 20 149 9.99995 20 50 8. 11 531 8. 11 535 9.999% 10 50 8.20 275 8.20281 9.99994 10 450 8. 11 693 8. 11 6% 9.999% 016 66 8.20407 8.20413 9.99994 6 10 8.11853 8.11857 9.999% 50 10 8.20 538 8. '20 544 9.99 994 50 20 8.12 013 8.12 017 9.999% 40 20 8.20669 8.20 675 9.99 994 40 30 8. 12 172 8. 12 176 9.99 9% 30 30 8.20800 8. 20 806 9.99994 30 40 8.12 331 8.12 335 9.999% 20 40 8.20930 8.20936 9.99994 20 50 8.12 489 8.12 493 9.999% 10 50 8.21060 8.21066 9.99994 10 460 8.12647 8.12651 9.999% 014 66 8. 21 189 8. 21 195 9.99994 4 10 8.12 804 8.12 808 9.999% 50 10 8. 21 319 8. 21 324 9.99 994 50 20 8. 12 %1 8.12%i 9.999% 40 20 8. 21 447 8. 21 453 9.99 994 40 30 8. 13 117 8. 13 121 9.99 9% 30 30 8. 21 576 8. 21 581 9.99994 30 40 8. 13 272 8. 13 276 9.999% 20 40 8. 21 703 8. 21 709 9.99994 20 50 8. 13 427 8. 13 431 9.999% 10 50 8.21831 8. 21 837 9.99 994 10 470 8. 13 581 8. 13 585 9.99 9% 013 67 8.21958 8.21964 9.99994 3 10 8. 13 735 8. 13 739 9.999% 50 10 8.22 08i 8.22 091 9.99994 50 20 8.13 888 8. 13 892 9.999% 40 20 8. 22 211 8. 22 217 9.99994 40 30 8. 14 (HI 8. 14 (Hi 9.999% 30 30 8.22 337 8. 22 343 9.99994 30 40 8. 14 193 8. 14 197 9.99 9% 20 40 8. 22 463 8.22 469 9.99994 20 50 8.14 344 8.14 348 9.99 9% 10 50 8. 22 588 8.22 595 9.99994 10 480 8.14 495 8. 14 500 9.999% 012 68 8. 22 713 8. 22 720 9.99994 2 10 8.14 646 8.14 650 9.99 9% 50 10 8. 22 838 8. 22 844 9.99994 50 20 8. 14 7% 8.14 800 9.999% 40 20 8. 22 %2 8.22%8 9.99994 40 30 8.14 945 8.14950 9.999% 30 30 8.23 086 8. 23 092 9.99994 30 40 8.15 094 8.15 099 9.99 9% 20 40 8. 23 210 8. 23 216 9.99994 20 50 8. 15 243 8. 15 247 9.99 9% 10 50 8. 23 333 8. 23 339 9.99994 10 490 8. 15 391 8. 15 395 9.999% Oil 69 8. 23 456 8. 23 462 9.99994 1 10 8. 15 538 8. 15 543 9.999% 50 10 8. 23 578 8. 23 585 9.99994 50 20 8. 15 685 8. 15 690 9.999% 40 20 8. 23 700 8. 23 707 9.99994 40 30 8. 15 832 8. 15 836 9.999% 30 30 8. 23 822 8. 23 829 9.99993 30 40 8. 15 978 8. 15 982 9.99995 20 40 8.23 944 8. 23 950 9.99993 20 50 8. 16 123 8. 16 128 9.99995 10 50 8. 24 065 8.24 071 9.99993 10 5O0 8.16 268 8.16 273 9.99995 OlO 6O0 8. 24 186 8. 24 192 9.99993 O r ft log cos log cot log sin ff f f ff log cos log cot log sin ff f 89' 1' 25 f ft log sin 8. 24 186 log t4in 8. 24 192 log COS ft t t ft log sin log tan log COS 9.99 991 tr f 9.99993 06O 10 8.30879 8.30 888 06O 10 8.24 306 8.24 313 9.99993 50 10 8.30983 8.30992 9.99 991 50 20 8. 24 426 8.24 433 9.99993 40 20 8.31086 8. 31 095 9.99 991 40 30 8. 24 546 8. 24 553 9.99993 30 30 8. 31 188 8. 31 198 9.99 991 30 40 8. 24 665 8. 24 672 9.99993 20 40 8. 31 291 8. 31 300 9.99 991 20 50 8.24 785 8. 24 791 9.99993 10 50 8.31393 8.31403 9.99991 10 1 8.24903 8.24 910 9.99993 069 110 8.31495 8. 31 505 9.99 991 049 10 8. 25 022 8. 25 029 9.99993 50 10 8.31597 8.31606 9.99991 50 20 8. 25 140 8.25147 9.99 993 40 20 8. 31 699 8. 31 708 9.99 991 40 30 8. 25 258 8. 25 265 9.99 993 30 30 8. 31 800 8. 31 809 9.99991 30 40 8. 25 375 8. 25 382 9.99993 20 40 8. 31 901 8.31911 9.99991 20 50 8. 25 493 8. 25 500 9.99993 10 50 8.32 002 8.32012 9.99991 10 2 8.25 609 8. 25 616 9.99993 068 12 8.32103 8.32112 9.99990 048 10 8. 25 726 8. 25 733 9.99 993 50 10 8. 32 203 8. 32 213 9.99990 50 20 8. 25 842 8.25 849 9.99993 40 20 8.32 303 8.32 313 9.99990 40 30 8. 25 958 8. 25 %5 9.99 993 30 30 8.32 403 8.32 413 9.99 990 30 40 8.26074 8.26081 9.99993 20 40 8. 32 503 8.32 513 9.99 990 20 50 8. 26 189 8. 26 196 9.99 993 10 50 8. 32 602 8.32 612 9.99 990 10 3 8.26304 8.26312 9.99993 067 13 8.32 702 8. 32 711 9.99990 047 10 8.26 419 8.26 426 9.99 993 50 10 8. 32 801 8.32 811 9.99990 50 20 8. 26 533 8. 26 541 9.99 993 40 20 8.32 899 8.32 909 9.99 990 40 30 8.26648 8. 26 655 9. 99 993 30 30 8.32 998 8.33 008 9.99 990 30 40 8. 26 761 8. 26 769 9.99 993 20 40 8.33 0% 8. ZZ 106 9.99990 20 50 8.26 875 8.26882 9.99993 10 50 8.33195 8. 33 205 9.99990 10 4 8.26 988 8.26996 9.99 992 066 14 8. 33 292 8. 33 302 9.99 990 046 10 8. 27 101 8. 27 109 9.99992 50 10 8.33 390 8.33 400 9.99 990 50 20 8. 27 214 8. 27 221 9.99992 40 20 8. Zi 488 8. 33 498 9.99 990 40 30 8. 27 326 8. 27 334 9.99 992 30 30' 8. 33 585 8. ZZ 595 9.99 990 30 40 8.27 438 8. 27 446 9.99 992 20 40 8. 33 682 8. 33 692 9.99990 20 50 8. 27 550 8. 27 558 9.99992 10 50 8.33 779 8.33 789 9.99990 10 6 8.27661 8.27669 9.99992 066 16 8.33 875 8.33 886 9.99990 046 10 8. 27 773 8. 27 780 9.99992 50 • 10 8. ZZ 972 8.33 982 9. 99 990 50 20 8. 27 883 8. 27 891 9.99992 40 20 8.34068 8.34078 9.99990 40 30 8. 27 994 8.28002 9.99 992 30 30 8. 34 164 8. 34 174 9.99990 30 40 8. 28 104 8.28112 9.99992 20 40 8.34 260 8.34 270 9.99989 20 50 8.28 215 8.28223 9.99992 10 50 8.34 355 8.34366 9.99 989 10 6 8.28324 8.28 332 9.99992 064 16 8.34 450 8.34461 9.99989 044 10 8.28434 8.28442 9. 99 992 50 10 8. 34 546 8.34 556 9.99989 50 20 8. 28 543 8.28 551 9.99992 40 20 8.34640 8.34 651 9.99989 40 30 8.28652 8.28660 9.99992 30 30 8. 34 735 8.34 746 9.99 989 30 40 8. 28 761 8. 28 769 9.99992 20 40 8.34 830 8. 34 840 9.99989 20 50 8. 28 869 8.28 877 9.99992 10 50 8.34924 8.34935 9.99 989 10 7 8.28977 8.28986 9.99992 063 170 8.35 018 8.35 029 9.99989 043 10 8.29085 8.2909+ 9.99 992 50 10 8.35112 8.35123 9.99989 50 20 8. 29 193 8.29 201 9.99 992 40 20 8. 35 206 8. 35 217 9.99989 40 30 8.29300 8.29309 9.99992 30 30 8. 35 299 8. 35 310 9.99 989 30 40 8.29407 8.29416 9. 99 992 20 40 8. 35 392 8.35 403 9.99989 .20 50 8.29 514 8.29 523 9.99 992 10 50 8.35 485 8.35 497 9.99989 10 8 8.29621 8.29629 9.99992 062 18 8.35 578 8. 35 590 9.99 989 042 10 8. 29 727 8. 29 736 9.99 991 50 10 8.35 671 8.35 682 9.99 989 50 20 8.29833 8.29 842 9.99991 40 20 8.35 764 8.35 775 9.99989 40 30 8.29939 8.29947 9.99991 30 30 8. 35 856 8. 35 867 9.99 989 30 40 8.30044 8.30053 9.99991 20 40 8. 35 948 8. 35 959 9.99989 20 50 8. 30 150 8. 30 158 9.99991 10 50 8.36040 8.36051 9.99989 10 9 8.30255 8.30 263 9.99 991 61 19 8.36131 8.36143 9.99989 041 10 8.30 359 8.30368 9.99 991 50 10 8. 36 223 8.36 235 9.99 988 50 20 8.30464 8.30473 9.99991 40 20 8.36 314 8. 36 326 9.99 988 40 30 8.30 568 8.30 577 9.99991 30 30 8.36405 8.36 417 9.99988 30 40 8.30672 8.30681 9.99991 20 40 8. 36 4% 8. 36 508 9.99988 20 50 8. 30 776 8. 30 785 9.99 991 10 50 8. 36 587 8. 36 599 9.99988 10 lOO 8. 30 879 8.30888 9.99991 06O 2O0 8.36678 8.36689 9.99988 04O f ft log COS log cot log sin ff t f ff log COS log cot log sin ft t 88' 26 r r 27 f ff 20 10 20 30 40 50 210 10 20 30 40 SO 220 10 20 30 40- 50 230 10 20 30 40 50 240 10 20 30 40 50 250 10 20 30 40 50 260 10 20 30 40 50 270 10 20 30 40 50 280 10 20 30 40 50 290 10 20 30 40 50 300 log sin log tan log cos 9 ff 8.36678 8.36689 9.9998S 8.36 768 8.36 780 9.99988 8.36 858 8.36 870 9.99988 8.369^8 8.36960 9.99988 8.37 038 8.37050 9.99988 8.37128 8.37140 9.99988 8.37 217 8.37 229 9.99988 8.37 306 8.37 318 9.99988 8.37 395 8.37 408 9.99988 8.37484 8.37 497 9.99 988 8.37 573 8.37 585 9.99988 8.37 662 8.37674 9.99988 8.37 750 8.37 762 9.99988 8.37838 8.37 850 9.99988 8.37926 8.37938 9.99988 8.38 014 8.38026 9. 99 987 8.38101 8.38114 9.99987 8.38189 8.38202 9.99987 8.38 276 8.38 289 9.99987 8.38 363 8.38 376 9.99987 8.38 450 8.38463 9.99987 8.38 537 8.38 550 9.99 987 8.38624 8.38 636 9.99987 8.38 710 8.38 723 9.99 987 8.387% 8.38809 9.99987 8.38882 8.38 895 9.99 987 8.38968 8.38981 9.99987 8.39054 8.39 067 9.99987 8.39139 8.39153 9.99 987 8.39225 8.39 238 9.99 987 8.39310 8.39 323 9.99987 8.39395 8.39408 9.99987 8.39480 8.39493 9.99987 8.39 565 8.39 578 9.99 987 8.39649 8.39 663 9.99987 8.39 734 8.39 747 9.99986 8.39 818 8.39832 9.99986 8.39902 8.39 916 9.99986 8.39986 8.40000 9.999S6 8.40070 8.40083 9.99986 8.40153 8.40167 9.99 986 8.40237 8.40251 9.99986 8.40320 8.40334 9.99986 8.40403 8.40417 9.99986 8.40486 8.40 500 9.99986 8.40569 8.40 583 9.99986 8.40651 8.40 665 9.99986 8.40734 8.40 748 9.99 986 8.40816 8.40830 9.99986 8.40898 8.40913 9.99986 8.40980 8.40995 9.99986 8.41062 8.41077 9.99 986 8.41144 8.41158 9.99 986 8.41225 8.41240 9.99986 8.41307 8.41321 9.99985 8.41388 8.41403 9.99 985 8.41469 8.41484 9.99985 8.41550 8.41565 9.99 985 8.41631 8.41646 9.99985 8.41711 8.41726 9.99985 8.41792 8.41807 9.99985 ff 9 log cos log cot log sin 04O 50 40 30 20 10 039 50 40 30 20 10 038 50 40 30 20 10 037 50 40 30 20 10 036 50 40 30 20 10 035 50 40 30 20 10 034 50 40 30 20 10 033 50 40 30 20 10 032 50 40 30 20 10 031 50 40 30 20 10 03O ' ' ' log sin log tan log cos f/ f 300 10 20 30 40 50 310 10 20 30 40 50 32 10 20 30 40 50 330 10 20 30 40 50 340 10 20 30 40 50 350 10 20 30 40 50 360 10 20 30 40 50 37 10 20 30 40 50 380 10 20 30 40 50 390 10 20 30 40 50 400 r 99 8.41792 8.41807 9. 99 985 8.41872 8.41887 9.99 985 8.41952 8.41%7 9.99985 8.42 032 8.42 018 9.99 985 8.42112 8.42127 9.99985 8.42192 8.42 207 9.99985 8.42 272 8.42 287 9.99985 8.42 351 8.42366 9.99985 8.42 430 8.42 446 9.99985 8.42 510 8.42 525 9.99985 8.42 589 8.42 60+ 9.99985 8.42 667 8.42683 9.99985 8.42 746 8.42 762 9.99984 8.42 825 8.42 840 9.99984 8.42 903 8.42 919 9.99984 8.42 982 8.42 997 9.99984 8.43 060 8.43 075 9.99984 8.43138 8.43154 9.99984 8.43 216 8.43 232 9.99984 8.43 293 8.43 309 9.99984 8.43 371 8.43 387 9.99984 8.43 448 8.43 464 9.99984 8.43 526 8.43 542 9.99984 8.43 603 8.43 619 9.99984 8.43680 8.436% 9.99984 8.43 757 8.43 773 9.99984 8.43 834 8.43 850 9.99984 8.43 910 8.43 927 9.99984 8.43 987 8.44 003 9.99984 8.44063 8.44080 9.99983 8.44139 8.44156 9.99983 8.44 216 8.44 232 9.99 983 8.44 292 8.44 308 9.99983 8.44367 8.44384 9.99983 8.44443 8.44460 9.99983 8.44 519 8.44 536 9.99983 8.44594 8.44611 9.99983 8.44669 8.44686 9.99983 8.44745 8.44 762 9.99983 8.44 820 8.44 837 9.99983 8.44895 8.44912 9.99983 8.44%9 8.44987 9.99983 8.45 044 8.45 061 9.99983 8.45 119 8.45136 9.99983 8.45193 8.45 210 9.99983 8.45 267 8.45 285 9.99983 8.45 341 8.45 359 9.99982 8.45 415 8.45 433 9.99982 8.45 489 8.45 507 9.99982 8.45 563 8.45 581 9.99982 8.45 637 8.45 655 9.99982 8.45 710 8.45 728 9.99982 8.45 784 8.45 802 9.99982 8.45 857 8.45 875 9.99982 8.45 930 8.45 948 9.99982 8.46003 8.46021 9.99982 8.46076 8.46094 9.99982 8.46149 8.46167 9.99982 8.46 222 8.46 240 9.99982 8.46294 8.46 312 9.99 982 8.46 366 8.46385 9.99982 99 f log cos log cot log sin 03O 50 40 30 20 10 029 50 40 30 20 10 28 50 40 30 20 10 027 50 40 30 20 10 26 50 40 30 20 10 25 50 40 30 20 10 024 50 40 30 20 10 23 50 40 30 20 10 22 50 40 30 20 10 21 50 40 30 20 10 020 99 9 88' f 99 log sin 8.46366 log tan 8.46385 log COS 99 9 9 99 log sin 8.50 504 log tan log cos 9.99978 99 9 400 9.99982 020 500 8.50 527 010 10 8.46439 8. 46 457 9.99982 50 10 8.50 570 8.50 593 9.99978 50 20 8.46 511 8.'46 529 9.99982 40 20 8.50 636 8.50658 9.99 978 40 30 8. 46 583 8.46 602 9.99981 30 30 8. 50 701 8. 50 724 9.99 978 30 40 8.46 655 8. 46 674 9.99981 20 40 8. 50 767 8. 50 789 9.99977 20 50 8.46 727 8. 46 745 9.99981 10 50 8.50832 8.50 855 9.99977 10 410 8.46 799 8.46817 9.99981 019 510 8.50 897 8.50920 9.99977 9 10 8.46 870 8.46889 9.99981 50 10 8.50%3 8.50985 9.99977 50 20 8.46942 8.46960 9.99981 40 20 8.51028 8. 51 050 9.99977 40 30 8.47 013 8.47 032 9.99981 30 30 8.51092 8.51115 9.99977 30 40 8.47 084 8. 47 103 9.99981 20 40 8. 51 157 8.51180 9.99977 20 50 8. 47 155 8.47174 9.99 981 10 50 8. 51 222 8. 51 245 9.99977 10 420 8. 47 226 8.47 245 9.99981 018 52 8. 51 287 8. 51 310 9.99977 8 10 8. 47 297 8. 47 316 9.99981 50 10 8. 51 351 8. 51 374 9.99977 50 20 8.47 368 8.47 387 9.99981 40 20 8. 51 416 8.51439 9.99977 40 30 8.47 439 8. 47 458 9.99981 30 30 8. 51 480 8. 51 503 9.99 977 30 40 8. 47 509 8. 47 528 9.99981 20 40 8. 51 544 8. 51 568 9.99977 20 50 8. 47 580 8. 47 599 9.99 981 10 50 8.51609 8. 51 632 9.99977 10 430 8.47 650 8.47669 9.99981 017 530 8. 51 673 8. 51 6% 9.99977 7 10 8. 47 720 8. 47 740 9.99980 50 10 8. 51 737 8.51760 9.99976 50 20 8.47 790 8.47 810 9.99980 40 20 8. 51 801 8. 51 824 9.99976 40 30 8. 47 860 8.47 880 9.99 980 30 30 8. 51 864 8.51888 9.99976 30 40 8.47 930 8.47950 9.99980 20 40 8. 51 928 8. 51 952 9. 99 976 20 50 8.48000 8. 48 020 9.99 980 10 50 8. 51 992 8. 52 015 9.99976 10 440 8.48069 8.48090 9.99980 016 540 8.52 055 8.52 079 9.99976 6 10 8. 48 139 8. 48 159 9.99980 50 10 8. 52 119 8. 52 143 9.99 976 50 20 8.48 208 8. 48 228 9.99980 40 20 8. 52 182 8. 52 206 9.99976 40 30 8. 48 278 8. 48 298 9.99980 30 30 8. 52 245 8. 52 269 9.99976 30 40 8.48 347 8. 48 367 9. 99 980 20 40 8.52 308 8.52 332 9.99976 20 50 8.48416 8.48436 9.99980 10 50 8.52 371 8. 52 3% 9.99976 10 450 8.48485 8.48 505 9.99980 015 55 8.52 434 8. 52 459 9.99976 5 10 8.48 554 8. 48 574 9.99980 50 10 8.52 497 8. 52 522 9.99976 50 20 8.48 622 8. 48 643 9.99 980 40 20 8. 52 560 8.52 584 9.99 976 40 30 8.48691 8.48 711 9.99 980 30 30 8.52 623 8.52 647 9.99975 30 40 8. 48 760 8. 48 780 9.99979 20 40 8.52 685 8.52 710 9.99975 20 50 8.48828 8.48 849 9.99979 10 50 8. 52 748 8. 52 772 9.99 975 10 460 8.48896 8.48917 9.99979 014 56 8.52 810 8. 52 835 9.99975 4 10 8.48 965 8.48985 9.99979 50 10 8. 52 872 8. 52 897 9.99975 50 20 8.49 033 8.49053 9.99979 40 20 8.52 935 8.52960 9.99975 40 30 8.49101 8. 49 121 9.99979 30 30 8.52 997 8. 53 022 9.99975 30 40 8. 49 169 8. 49 189 9.99979 20 40 8.53 059 8. 53 084 9.99975 20 50 8.49 236 8.49 257 9.99979 10 50 8. 53 121 8. 53 146 9.99975 10 470 8.49304 8.49325 9.99979 013 57 8. 53 183 8. 53 208 9.99975 3 10 8.49372 8.49 393 9.99979 50 10 8. 53 245 8. 53 270 9.99975 50 20 8.49439 8. 49 460 9.99979 40 20 8. 53 306 8. 53 332 9.99975 40 30 8.49 506 8.49 528 9.99979 30 30 8. 53 368 8. 53 393 9.99975 30 40 8. 49 574 8.49 595 9.99979 20 40 8. 53 429 8. SZ 455 9.99975 20 50 8.49641 8.49662 9.99979 10 50 8. 53 491 8.53 516 9.99974 10 480 8. 49 708 8. 49 729 9.99979 012 58 8.53 552 8. 53 578 9.99974 2 10 8.49775 8. 49 796 9.99979 50 10 8. 53 614 8. 53 639 9.99974 50 20 8.49 842 8.49863 9.99978 40 20 8. 53 675 8. 53 700 9.99974 40 30 8.49908 8.49930 9.99978 30 30 8.53 736 8. 53 762 9.99974 30 40 8.49 975 8.49997 9.99978 20 40 8. 53 797 8. 53 823 9.99974 20 50 8.50042 8.50063 9.99978 10 50 8.53 858 8. 53 884 9.99974 10 490 8. 50 108 8. 50 130 9.99978 Oil 59 8.53 919 8.53945 9.99974 1 10 8. 50 174 8. 50 196 9.99978 50 10 8. 53 979 8.54005 9.99974 50 20 8.50 241 8. 50 263 9.99978 40 20 8.54040 8.54066 9.99974 40 30 8.50307 8.50329 9.99978 30 30 8. 54 101 8.54127 9.99 974 30 40 8.50 373 8.50395 9.99 978 20 40 8. 54 161 8. 54 187 9.99974 20 50 8.50439 8.50461 9.99978 10 50 8. 54 222 8. 54 248 9.99974 10 500 8.50504 8.50 527 9.99978 010 6O0 8.54 282 8.54308 9.99974 9 99 log cos log cot log sin 99 9 9 9t log COS log cot log sin 99 t 88' f I\ ill i : i: r 28 r / log sin log tan log cot log 008 f 8 24186 8 24192 11 75 808 9 99993 o 60 1 24 903 24910 75 090 99993 59 2 25 609 25 616 74 384 99993 58 3 26304 26312 73 688 99993 57 4 26988 26996 73 00+ 99992 56 5 27661 27 669 72 331 99992 55 6 28324 28 332 71668 99992 54 7 28977 28986 71014 99992 53 8 29621 29629 70371 99992 52 9 3025i 30 263 69 737 99991 51 lO 30879 30 888 69112 99991 50 11 31 495 31505 68495 99991 49 12 32103 32112 67 888 99990 48 13 32 702 32 711 67 289 99 990 47 14 33 292 33 302 66698 99990 46 15 33 875 33 886 66114 99990 45 16 34 450 34 461 65 539 99989 44 17 35 018 35 029 64971 99 989 43 IS 35 578 35 590 6+410 99 989 42 19 36131 36143 63 857 99989 41 20 36678 36689 63 311 99988 40 21 37 217 37 229 62 771 99 988 39 22 37 750 37 762 62 238 99988 38 23 38 276 38 289 61711 99987 37 24 38 796 38 809 61191 99987 36 25 39 310 39 323 60 677 99987 35 26 39 818 39 832 60168 99986 34 27 40 320 40334 59666 99986 33 28 40 816 40830 59170 99 986 32 29 41307 41321 58 679 99985 31 30 41792 41807 58193 99985 30 31 42 272 42 287 57 713 99985 29 32 42 746 42 762 57 238 99984 28 33 43 216 43 232 56 768 99 984 27 34 43 680 43 696 56304 99984 26 35 44139 44156 55 844 99983 25 36 44 594 44611 55 389 99983 24 37 45 OH 45 061 54 939 99 983 23 38 45 489 45 507 54493 99982 22 39 45 930 45 9^8 54052 99982 21 40 46366 46385 53 615 99982 20 41 46 799 46 817 53 183 99981 19 42 47 226 47 245 52 755 99 981 18 43 47 650 47 669 52 331 99981 17 44 48069 48089 51911 99980 16 45 48 485 48 505 51495 99980 15 46 48 8% 48917 51083 99979 14 47 49 304 49 325 50 675 99 979 13 48 49 708 49 729 50 271 99979 12 49 50108 50130 49 870 99978 11 50 50504 50 527 49473 99978 lO 51 50897 50920 49080 99977 9 52 51287 51310 48 690 99977 8 53 51673 51696 48 304 99977 7 54 52 055 52079 47 921 99 976 6 55 52434 52459 47 541 99976 5 56 52 810 52 835 47165 99975 4 57 53183 53 208 46 792 99975 3 58 53 552 53 578 46422 99974 2 59 53 919 53 945 46055 99 974 1 60 54 282 54 308 45 692 99974 8 log COS 8 log cot 11 log tan 9 f log sin 1 ' 1 2 3 f log sin log tan log cot log cos f 8 54 282 8 54 308 11 45 692 9 99974 o 60 1 54 642 54 669 45 331 99973 59 2 54 999 55 027 44973 99973 58 3 55 354 55 382 44 618 99972 57 4 55 705 55 734 44 266 99972 56 5 56054 56083 43 917 99971 55 6 56400 56429 43 571 99971 54 7 56743 56 773 43 227 99970 53 8 57 084 57114 42 886 99970 52 9 57 421 57452 42 548 99 %9 51 lO 57 757 57 788 42 212 99969 60 11 58089 58121 41879 99968 49 12 58419 58451 41549 99968 48 13 58 747 58 779 41221 99967 47 14 59072 59105 40895 99 %7 46 15 59 395 59428 40 572 99 %7 45 16 59 715 59 749 40251 99966 44 17 60033 60068 39932 99966 43 18 60349 60 384 39 616 99965 42 19 60662 60698 39302 99 964 41 20 60973 61009 38991 99964 40 21 61282 61319 38 681 99 %3 39 22 61589 61626 38 374 99 %3 38 23 61894 61931 38 069 99 %2 37 24 621% 62 234 37 766 99 %2 36 25 62497 62 535 37465 99 %1 35 26 62 795 62 834 37166 99 %1 34 27 63 091 63131 36869 99960 33 28 63 385 63 426 36574 99960 32 29 63 678 63 718 36 282 99959 31 30 63 968 64 009 35 991 99959 30 31 64 256 6+298 35 702 99958 29 32 64 543 6+585 35 415 99958 28 33 64 827 64 870 35 130 99957 27 34 65110 65154 34846 99 956 26 35 65 391 65 435 34 565 99956 25 36 65 670 65 715 34 285 99955 24 37 65 947 65 993 34007 99955 23 38 66223 66 269 33 731 99954 22 39 66 497 66 543 33457 99954 21 40 66 769 66816 33184 99953 20 41 67 039 67 087 32 913 99 952 19 42 67 308 67 356 32644 99952 18 43 67 575 67624 32 376 99951 17 44 67 841 67 890 32110 99951 16 45 68104 68154 31846 99950 15 46 68 367 68417 31583 99 949 14 47 68 627 68678 31322 99949 13 48 68 886 68938 31062 999+8 12 49 69144 691% 30 804 99948 11 50 69400 69453 30 547 99947 lO 51 69654 69 708 30 292 99946 9 52 69907 69 %2 30038 99946 8 53 70159 70 214 29 786 99945 7 54 70409 70465 29 535 99 944 6 55 70658 70 714 29 286 99944 5 56 70905 70 %2 29038 99943 4 57 71151 71208 28 792 99942 3 58 71395 71453 28 547 99 942 2 59 71638 71697 28 303 99 941 1 60 71880 71940 28060 99940 8 log 008 8 log cot 11 log tan o r log sin f 3° 29 88' 87° f log sin log tan log cot log cos r f log sin log tan logoot log COS f 8 8 71880 71940 11 9 28 060 99940 8 8 11 9 99 894 o 60 O 84 358 84 464 15 536 60 1 72120 72181 27 819 99 940 59 1 84 539 84 646 15 354 99 893 59 2 72 359 7i2 420 27 580 99939 58 2 84 718 84 826 15174 99 892 58 3 72 597 72 659 27 341 99 938 57 3 84897 85006 14994 99 891 57 4 72 834 72 8% 27104 99 938 56 4 85 075 85 185 14 815 99891 56 5 73 069 73 132 26 868 99 937 55 5 85 252 85 363 14 637 99 890 55 6 73 303 73 366 26 634 99936 54 6 85 429 85 540 14 460 99 889 54 7 73 535 73 600 26400 99 936 53 7 85 605 85 717 14 283 99 888 53 8 73 767 73 832 26168 99935 52 8 85 780 85 893 14107 99 887 52 9 73 997 74 063 25 937 99934 51 9 85 955 86 069 13 931 99 886 51 lO 74 226 74 292 25 708 99934 50 lO 86128 86 243 13 757 99 885 50 11 74 454 74 521 25 479 99 933 49 11 86301 86 417 13 583 99 884 49 12 74 680 74 748 25 252 99932 48 12 86474 86 591 13 409 99 883 48 13 74 906 74 974 25 026 99932 47 13 86645 86 763 13 237 99882 47 14 75130 75199 24 801 99931 46 14 86816 86935 13 065 99 881 46 16 75 353 75 423 24 577 99930 45 15 86987 87106 12 894 99 880 45 16 75 575 75 645 24 355 99 929 44 16 87156 87 277 12 723 99 879 44 17 75 795 75 867 24133 99 929 43 17 87 325 87 447 12 553 99 879 43 18 76015 76087 23 913 99928 42 18 87 494 87 616 12 384 99 878 42 19 76234 76306 23 694 99927 41 19 87 661 87 785 12 215 99877 41 20 76451 76 525 23 475 99926 40 20 87 829 87 953 12 047 99876 40 21 76 667 76 742 23 258 99 926 39 21 87 995 88120 11880 99 875 39 22 76883 76958 23 042 99 925 38 22 i 88 161 88 287 11 713 99 874 38 23 77 097 77173 22 827 99924 37 23 88 326 88 453 11547 99 873 37 24 77310 77 387 22 613 99923 36 24 88490 88 618 11382 99872 36 25 77 522 77 600 22 400 99923 35 25 88 654 88 783 11217 99871 35 26 77 733 77 811 22189 99 922 34 26 88 817 88 948 11052 99870 34 27 77943 78022 21978 99921 33 27 88980 89111 10889 99 869 33 28 78152 78 232 21768 99920 32 28 89142 89 274 10 726 99 868 32 29 78360 78441 21559 99920 31 29 89 304 89437 10 563 99 867 31 30 78 568 78 649 21351 99919 30 30 89464 89 598 10402 99 866 30 31 78 774 78 855 21145 99918 29 31 89 625 89 760 10 240 99 865 29 32 78979 79061 20939 99917 28 32 89 784 89920 10080 99864 28 33 79183 79 266 20 734 99917 27 33 89 943 90 080 09920 99 863 27 34 79 386 79 470 20530 99916 26 34 90102 90240 09 760 99862 26 35 79 588 79673 20327 99915 25 35 90260 90399 09601 99861 25 36 79789 79 875 20125 99 914 24 36 90417 90557 09443 99 860 24 37 79990 80076 19924 99913 23 37 90 574 90 715 09 285 99 859 23 38 80189 80 277 19 723 99 913 22 38 90 730 90 872 09128 99 858 22 39 80388 80476 19 524 99 912 21 39 90 885 91029 08 971 99 857 21 40 80 585 80674 19 326 99 911 20 40 91040 91185 08 815 99856 20 41 80 782 80872 19128 99 910 19 41 91195 91340 08 660 99 855 19 42 80978 81068 18932 99909 18 42 91349 91495 08 505 99854 18 43 81173 81264 18 736 99909 17 43 91502 91650 08350 99 853 17 44 81367 81459 18 541 99908 16 44 91655 91803 08197 99852 16 45 81560 81653 18347 99 907 15 45 91807 91957 08043 99851 15 46 81752 81846 18154 99906 14 46 91959 92110 07 890 99 850 14 47 81944 82 038 17 %2 99 905 13 47 92110 92 262 07 738 99848 13 48 82134 82 230 17 770 99904 12 48 92 261 92 414 07 586 99847 12 49 82 324 82 420 17580 99904 11 49 92 411 92 565 07435 99846 11 50 82 513 82 610 17 390 99903 10 50 92 561 92 716 07 284 99845 lO 51 82 701 82 799 17 201 99902 9 51 92 710 92 866 07134 99844 9 52 82 888 82987 17 013 99901 8 52 92 859 93 016 06984 99 843 8 53 83 075 83175 16825 99900 7 53 93 007 93165 06 835 99 842 7 54 83 261 83 361 16639 99 899 6 54 93154 93 313 06687 99841 6 55 83 446 83 547 16453 99 898 5 55 93 301 93 462 06 538 99 840 5 56 83 630 83 732 16 268 99 898 4 56 93448 93609 06391 99 839 4 57 83 813 83 916 16084 99 897 3 57 93 594 93 756 06 244 99 838 3 58 83 9% 84100 15900 99896 2 58 93 740 93 903 06097 99 837 2 59 84177 84 282 15 718 99 895 1 59 93 885 94 0+9 05 951 99 836 1 60 84 358 84 464 8 8 log cos log cot 15 536 99 894 11 9 log tan log Bin 60 94 030 94195 05 805 8 8 11 log cos log cot log tan 99 834 9 log sin O / f r / I 86^ 85 \l 30 B f log sin log tan log cot log COS f \ 5 8 94195 11 05 805 9 99 834 O 1 9^030 60 1 94174 9+340 05 660 99 833 59 2 9^317 9+485 05 515 99 832 58 3 94 461 94 630 05 370 99 831 57 4 94 603 94 773 05 227 99 830 56 5 9+746 9+917 05 083 99 829 55 6 9+887 95 060 0+9+0 99 828 54 7 95 029 95 202 04 798 99 827 53 8 95 170 95 344 0+656 99 825 52 9 95 310 95 486 0+51+ 99 824 51 lO 95 450 95 627 (H373 99 823 50 11 95 589 95 767 0+233 99 822 49 12 95 728 95 908 0+092 99 821 48 13 95 867 960+7 03 953 99 820 47 14 %005 %1S7 03 813 99 819 46 15 96143 %325 03 675 99 817 45 16 %280 %464 03 536 99 816 44 17 %417 %602 03 398 99 815 43 18 %553 %739 03 261 99 814 42 19 %689 96 877 03 123 99 813 41 20 %825 97 013 02 987 99 812 40 21 %960 97150 02 850 99 810 39 22 97 09i 97 285 02 71i 99 809 38 23 97 229 97 421 02 579 99 808 37 24 97 363 97 556 02 444 99 807 36 25 97 496 97 691 02 309 99 806 35 26 97 629 97 825 02175 99 80+ 34 27 97 762 97 959 02 (HI 99 803 33 28 97 894 98092 01908 99 802 32 29 98026 98225 0177i 99801 31 30 98157 98 358 01642 99 800 30 31 98 288 98490 01510 99 798 29 32 98419 98 622 01378 99 797 28 33 98 549 98 753 01247 99 7% 27 34 98679 98 884 01116 99 79i 26 35 98 808 99015 00 985 99 793 25 36 98937 99145 00855 99 792 24 37 99 066 99 275 00 725 99 791 23 38 99194 99405 00 595 99 790 22 39 99 322 99 534 00 466 99 788 21 40 99450 99 662 00338 99 787 20 41 99 577 99 791 00 209 99 786 19 42 99 704 99 919 00 081 99 785 18 43 99 830 00 046 99 95+ 99 783 17 44 99 956 00174 99 826 99 782 16 45 00 082 00301 99 699 99 781 15 46 00 207 00427 99 573 99 780 14 47 00 332 00 553 99 447 99 778 13 48 00456 00679 99 321 99 777 12 49 00 581 00 805 99195 99 776 11 50 00 704 00930 99 070 99 775 lO 51 00 828 01055 98 9+5 99 773 9 52 00951 01179 98 821 99 772 8 53 01074 01303 98 697 99 771 7 54 01196 01427 98 573 99 769 6 55 01318 01 550 98450 99 768 5 56 01440 01673 98 327 99 767 4 57 01561 01796 98 204 99 765 3 58 01682 01918 98082 99 764 2 59 01803 02 0+0 97960 99 763 1 60 01923 02162 97 838 99 761 O 9 log COS 9 log cot lO log tan 9 log sin f r 84' r log sin log tan log cot log cos t 9 01923 9 02162 lO 97 838 9 99 761 O 60 1 02 0+3 02 283 97 717 99 760 59 2 02 163 02+04 97 5% 99 759 58 3 02 283 02 525 97 475 99 757 57 4 02+02 02 645 97 355 99 756 56 5 02 520 02 766 97 234 99 755 55 6 02 639 02 885 97115 99 753 54 7 02 757 03 005 %995 99 752 53 8 02 874 03124 %876 99 751 52 9 02 992 03 242 %758 99 749 51 10 03109 03 361 %639 99 7+8 50 11 03 226 03 479 %521 99 7+7 49 12 03 342 03 597 %403 99 7+5 48 13 03+58 03 714 %286 99 7+4 47 14 03 574 03 832 %168 99 7+2 46 15 03 690 03 9+8 %052 99 7+1 45 16 03 805 04 065 95 935 99 7+0 44 17 03 920 04181 95 819 99 738 43 18 04 034 04 297 95 703 99 737 42 19 04149 0+413 95 587 99 736 41 20 (H262 04 528 95 472 99 73+ 40 21 04 376 04 643 95 357 99 733 39 22 04+90 0+758 95 2+2 99 731 38 23 0+603 0+873 95 127 99 730 37 24 0+715 0+987 95 013 99 728 36 25 0+828 05101 94 899 99 727 35 26 0+9+0 05 214 94 786 99 726 34 27 05 052 05 328. 94 672 99 72+ 33 28 05 16+ 05 4+1 94 559 99 723 32 29 05 275 05 553 94 447 99 721 31 30 05 386 05 666 94 334 99 720 30 31 05 497 05 778 94 222 99 718 29 32 05 607 05 890 94110 99 717 28 Z^ 05 717 06002 93 998 99 716 27 34 05 827 06113 93 887 99 714 26 35 05 937 06 224 93 776 99 713 25 36 06 0+6 06 335 93 665 99 711 24 37 06155 06445 93 555 99 710 23 38 06 26+ 06 556 93 444 99 708 22 39 06 372 06 666 93 334 99 707 21 40 06+81 06 775 93 225 99 705 20 41 06 589 06 885 93 115 99 704 19 42 06 696 06994 93 006 99 702 18 43 06 804 07103 92 897 99 701 17 44 06911 07 211 92 789 99699 16 45 07 018 07 320 92 680 99698 15 46 07124 07 428 92 572 99696 14 47 07 231 07 536 92 464 99 695 13 48 07 337 07 643 92 357 99 693 12 49 07 442 07 751 92 249 99 692 11 50 07 5+8 07 858 92142 99 690 lO 51 07 653 07 964 92 036 99689 9 52 07 758 08 071 91929 99687 8 53 07 863 08177 91823 99 686 7 54 07 968 08283 91717 99 684 6 55 08072 08389 91611 99 683 5 56 08 176 08+95 91505 99681 4 57 08 280 08 600 91400 99 680 3 58 08 383 08 705 91 295 99 678 2 59 08 486 08 810 91190 99677 1 60 08 589 08914 91086 99675 O 9 log 008 9 log cot lO log tan 9 log sin r f 83^ T 8° 81 o 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin log tan log cot log cos 9 lO 9 08 589 08914 91086 99675 08692 09019 90981 99674 08 795 09123 90 877 99672 08 897 09 227 90 773 99 670 08999 09330 90670 99669 09101 09434 90 566 99667 09202 09537 90463 99666 09304 09640 90360 99664 09 405 09 742 90 258 99663 09 506 09 845 90155 99661 09606 09947 90053 99659 09 707 100+9 89951 99658 09 807 10150 89 850 99 656 09 907 10252 89 748 99655 10006 10353 89647 99653 10106 10454 89 546 99651 10 205 10 555 89445 99 650 10 30+ 10656 893+4 99648 10402 10 756 89 244 99 647 10 501 10856 89144 99645 10 599 10956 89044 99643 10697 11056 88 944 99642 10 795 11155 88 845 99640 10893 11254 88 746 99638 10990 11353 88647 99637 11087 11452 88 548 99635 11184 11551 88449 99633 11281 11649 88351 99632 11377 11747 88 253 99630 11474 11845 88155 99629 11570 119+3 88 057 99627 11666 12 0+0 87 960 99625 11761 12138 87 862 99624 11857 12 235 87 765 99622 11952 12 332 87 668 99620 120+7 12 428 87 572 99618 12142 12 525 87 475 99617 12 236 12 621 87 379 99615 12 331 12 717 87 283 99613 12 425 12 813 87187 99612 12 519 12 909 87 091 99610 12612 13004 869% 99608 12 706 13 099 86901 99607 12 799 13194 86806 99605 12 892 13 289 86 711 99 603 12 985 13 384 86616 99 601 13 078 13 478 86 522 99 600 13171 13 573 86427 99 598 13 263 13 667 86333 99 5% 13 355 13 761 86239 99 595 13 447 13 854 86146 99 593 13 539 13 948 86052 99 591 13 630 14 041 85 959 99 589 13 722 14134 85 866 99 588 13 813 14 227 85 773 99 586 13 904 14320 85 680 99 584 13 994 14 412 85 588 99 582 14085 14 504 85 4% 99 581 14175 14 597 85 403 99 579 14 266 14 688 85 312 99 577 14 356 14 780 85 220 99 575 9 9 lO 9 log 008 logoot log tan log sin 8? 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 2^^ 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 O O 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin log tan log cot log cos 9 9 lO 9 14 356 14 780 85 220 99 575 14 445 14 872 85 128 99 574 14 535 14 %3 85 037 99 572 14 624 15 054 84 946 99 570 14 714 15145 84 855 99 568 14 803 15 236 84 764 99 566 14891 15 327 84 673 99 565 14980 15 417 84 583 99 563 15 069 15 508 84 492 99 561 15157 15 598 84 402 99 559 15 245 15 688 84 312 99 557 15 333 15 777 84 223 99 556 15 421 15 867 84133 99 554 15 508 15 956 84 044 99 552 15 5% 16 046 83 954 99550 15 683 16135 83 865 99 5+8 15 770 16224 83 776 99 5+6 15 857 16312 83 688 99 545 15 944 16 401 83 599 99 5+3 16030 16489 83 511 99 541 16116 16 577 83 423 99 539 16 203 16 665 83 335 99 537 16 289 16 753 83 2+7 99 535 16374 16 841 83159 99 533 16460 16928 83072 99532 16 545 17 016 82 984 99 530 16 631 17103 82 897 99 528 16 716 17190 82 810 99 526 16 801 17 277 82 723 99 524 16886 17 363 82 637 99522 16 970 17450 82 550 99 520 17 055 17 536 82 464 99 518 17139 17 622 82 378 99 517 17 223 17 708 82 292 99 515 17 307 17 794 82 206 99513 17 391 17 880 82120 99511 17 474 17 %5 82035 99 509 17 558 18051 81949 99 507 17 641 18136 81864 99 505 17 724 18 221 81779 99 503 17807 18 306 81694 99 501 17 890 18 391 81609 99499 17973 18475 81525 99497 18055 18 560 81440 99495 18137 18 6+4 81356 99 494 18 220 18 728 81272 99 492 18 302 18 812 81188 99490 18383 188% 81104 99488 18465 18979 81021 99486 18 547 19063 80937 99484 18628 19146 80854 99 482 18 709 19 229 80 771 99480 18 790 19312 80688 99 478 18871 19395 80605 99476 18952 19478 80 522 99474 19033 19 561 80439 99472 19113 19643 80357 99470 19193 19 725 80275 99 468 19273 19807 80193 99466 19353 19889 80111 99464 19433 19 971 80029 99462 9 9 lO 9 log cos log cot logtaa log sin 8? 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O y 32 m ir 12° 83 M f log sin log tan log oot log 008 f f log sin log tan log cot log COS f 9 19433 9 19971 lO 80029 9 99 462 9 23 %7 9 24 632 lO 75 368 9 99 335 o 60 o 60 1 19513 20053 79947 99 460 59 1 24 039 24 706 75 294 99 333 59 2 19592 20134 79 866 99 458 58 2 24110 24 779 75 221 99331 58 3 19672 20 216 79 784 99 456 57 3 24181 24 853 75 147 99 328 57 4 19 751 20 297 79 703 99454 56 4 24 253 24 926 75 074 99 326 56 5 19 830 20378 79622 99452 55 5 24 324 25 000 75 000 99324 55 6 19909 20459 79541 99450 54 6 24 395 25 073 74 927 99 322 54 7 19988 20 540 79460 99448 53 7 24 466 25146 74 854 99 319 53 8 20067 20621 79 379 99446 52 8 24 536 25 219 74 781 99317 52 9 20145 20 701 79 299 99 444 51 9 24 607 25 292 74 708 99315 51 lO 20 223 20 782 79 218 99442 50 lO 24 677 25 365 74 635 99 313 50 11 20302 20862 79138 99440 49 11 24 748 25 437 74 563 99310 49 12 20380 209+2 79058 99438 48 12 24 818 25 510 74 490 99 308 48 13 20 458 21022 78 978 99436 47 13 24 888 25 582 74 418 99 306 47 14 20535 21102 78898 99434 46 14 24958 25 655 74 345 99304 46 16 20613 21182 78818 99432 45 15 25 028 25 727 74 273 99301 45 16 20691 21261 78 739 99429 44 16 25 098 25 799 74 201 99 299 44 17 20 768 21341 78659 99427 43 17 25 168 25 871 74 129 99 297 43 18 20845 21420 78 580 99425 42 18 25 237 25 943 74 057 99 294 42 19 20922 21499 78 501 99423 41 19 25 307 26015 73 985 99292 41 20 20999 21578 78422 99421 40 20 25 376 26086 73 914 99290 40 21 21076 21657 78 343 99 419 39 21 25 445 26158 73 842 99 288 39 22 21153 21736 78 264 99417 38 22 25 514 26229 73 771 99 285 38 23 21229 21814 78186 99415 37 23 25 583 26301 73 699 99 283 37 24 21306 21893 78107 99 413 36 24 25 652 26372 73 628 99 281 36 25 21382 21971 78029 99411 35 25 25 721 26 443 73 557 99 278 35 26 21458 22 019 77951 99409 34 26 25 790 26 514 73 486 99 276 34 27 21534 22127 77 873 99 407 33 27 25 858 26 585 73 415 99 274 33 28 21610 22 205 77 795 99404 32 28 25 927 26655 73 345 99 271 32 29 21685 22 283 77 717 99402 31 29 25 995 26 726 73 274 99 269 31 30 21761 22 361 77639 99 400 30 30 26063 26 797 73 203 99 267 30 31 21836 22 438 77 562 99 398 29 31 26131 26 867 73133 99 264 29 32 21912 22 516 77 484 99 3% 28 32 26199 26937 73 063 99 262 28 33 21987 22 593 77 407 99 394 27 33 26 267 27 008 72 992 99 260 27 34 22 062 22 670 77 330 99 392 26 34 26335 27 078 72 922 99 257 26 35 22137 22 747 77 253 99390 25 35 26403 27148 72 852 99 255 25 36 22 211 22 824 77176 99 388 24 36 26470 27 218 72 782 99 252 24 37 22 286 22 901 77099 99 385 23 37 26 538 27 288 72 712 99 250 23 38 22 361 22 977 77023 99 383 22 38 26 605 27 357 72 643 99 248 22 39 22 435 23 054 76946 99 381 21 39 26672 27 427 72 573 99 245 21 40 22 509 23130 76 870 99379 20 40 26 739 27 4% 72 504 99 243 20 41 22 583 23 206 76 794 99 377 19 41 26806 27 566 72 434 99 241 19 42 22 657 23 283 76 717 99375 18 42 26 873 27 635 72 365 99 238 18 43 22 731 23 359 76641 99372 17 43 26940 27 704 72 2% 99 236 17 44 22 805 23 435 76 565 99370 16 44 27 007 27 773 72 227 99 233 16 45 22 878 23 510 76490 99368 15 45 27073 27 842 72158 99 231 15 46 22 952 23 586 76414 99 366 14 46 27140 27 911 72 089 99 229 14 47 23 025 23 661 76339 99 364 13 47 27 206 27980 72 020 99 226 13 48 23 098 23 737 76 263 99 362 12 48 27 273 280+9 71951 99224 12 49 23171 23 812 76188 99359 11 49 27 339 28117 71883 99 221 11 50 23 244 23 887 76113 99 357 10 50 27 405 28186 71814 99 219 lO 51 23 317 23 962 76038 99 355 9 51 27 471 28 254 71746 99 217 9 52 23 390 24037 75 963 99353 8 52 27 537 28323 71677 99 214 8 53 23 462 24112 75 888 99351 7 53 27 602 28391 71609 99 212 7 54 23 535 24186 75 814 99348 6 54 27 668 28459 71541 99209 6 55 23 607 24 261 75 739 99 346 5 55 27 734 28 527 71473 99 207 5 56 23 679 24 335 75 665 99 344 4 56 27 799 28 595 71405 99 204 4 57 23 752 24410 75 590 99 342 3 57 27 864 28662 71338 99 202 3 58 23 823 24 484 75 516 99340 2 58 27 930 28 730 71270 99 200 2 59 23 895 24 558 75 442 99 337 1 59 27 995 28 798 71202 99197 1 60 23 %7 24 632 75 368 99 335 O 60 28 060 28865 71135 99195 O 9 log 008 9 log cot lO log tan 9 log sin 9 log 008 9 log cot lO log tan 9 log sin f f f f m 79' f log sin log tan log cot log cos f ^ f log sin log tan log cot log cos r 9 28060 9 28 865 10 71135 9 99195 9 31788 9 32 747 lO 67 253 9 99040 60 o 60 1 28125 28933 71067 99192 59 1 31847 32 810 67190 99038 59 2 28190 29 000 71000 99190 58 2 31907 32 872 67128 99035 58 3 28 254 29 067 70933 99187 57 3 31966 32 933 67 067 99032 57 4 28 319 29134 70866 99185 56 4 32 025 32 995 67 005 99030 56 5 28 384 29 201 70 799 99182 56 5 32 084 33 057 66943 99027 66 6 28448 29 268 70 732 99180 54 6 32143 33119 66881 99024 54 7 28 512 29 335 70665 99177 53 7 32 202 33180 66820 99022 53 8 28 577 29 402 70 598 99175 52 8 32 261 33 242 66 758 99019 52 9 28641 29468 70 532 99172 51 9 32 319 33 303 66697 99016 51 10 28 705 29 535 70465 99170 50 lO 32 378 33 365 66635 99013 50 11 28 769 29 601 70399 99167 49 11 32 437 33 426 66 574 99 011 49 12 28833 29668 70332 99165 48 12 32 495 33 487 66513 99008 48 13 28 8% 29 734 70 266 99162 47 13 32 553 33 548 66452 99005 47 14 28960 29 800 70 200 99160 46 14 32 612 33 609 66391 99002 46 15 29024 29866 70134 99157 45 15 32 670 33 670 66330 99000 45 16 29087 29932 70068 99155 44 16 32 728 33 731 66 269 98 997 44 17 29150 29998 70002 99152 43 17 32 786 33 792 66 208 98 994 43 18 29 214 30064 69 936 99150 42 18 32 844 33 853 66147 98 991 42 19 29 277 30130 69 870 99147 41 19 32 902 33 913 66087 98989 4L 20 29340 30195 69805 99145 40 20 32 960 33974 66026 98986 40 21 29 403 30 261 69 739 99142 39 21 33 018 34 034 65 966 98 983 39 22 29466 30326 69 674 99140 38 22 33 075 34 095 65 905 98980 38 23 29 529 30391 69609 99137 37 23 33133 34155 65 845 98978 37 24 29 591 30457 69 543 99135 36 24 33190 34 215 65 785 98975 36 25 29654 30522 69478 99132 35 25 33 248 34 276 65 724 98972 35 26 29 716 30587 69413 99130 34 26 33 305 34336 65 664 98969 34 27 29 779 30652 69 348 99127 33 27 33 362 34 3% 65 604 98967 33 28 29 841 30 717 69 283 99124 32 28 33 420 34 456 65 544 98 %4 32 29 29 903 30 782 69 218 99122 31 29 33 477 34 516 65 484 98 %1 31 30 29966 30846 69154 99119 30 30 33 534 34 576 65 424 98958 30 31 30028 30911 69 089 99117 29 31 33 591 34 635 65 365 98955 29 32 30090 30975 69025 99114 28 32 33 647 34 695 65 305 98953 28 33 30151 ^1040 68 960 99112 27 33 33 704 34 755 65 245 98950 27 34 30213 31104 688% 99109 26 34 33 761 34 814 65 186 98947 26 35 30275 31168 68 832 99106 25 35 33 818 34874 65126 98944 26 36 30336 31233 68 767 99104 24 36 33 874 34 933 65 067 98941 24 37 30398 31297 68 703 99101 23 37 33 931 34 992 65 008 98938 23 38 30459 31361 68639 99099 22 38 33 987 35 051 64 949 98936 22 39 30 521 31425 68 575 990% 21 39 34 043 35111 64 889 98 933 21 40 30 582 31489 68 511 99093 20 40 34100 35 170 64 830 98930 20 41 30643 31552 68 448 99091 19 41 34 156 35 229 64 771 98 927 19 42 30 704 31616 68 384 99088 18 42 34 212 35 288 64 712 98924 18 43 30 765 31679 68 321 99 086 17 43 34 268 35 347 64 653 98921 17 44 30826 31743 68 257 99083 16 44 34324 35 405 64 595 98919 16 45 30887 31806 68194 99080 15 45 34380 35 464 64 536 98916 15 46 30947 31870 68130 99078 14 46 34 436 35 523 64 477 98913 14 47 31008 31933 68 067 99075 13 47 34 491 35 581 64 419 98910 13 48 31068 319% 68004 99072 12 48 34 547 35 640 64 360 98907 12 49 31129 32 059 67 941 99070 11 49 34 602 35 698 64 302 98904 11 60 31189 32122 67 878 99067 lO 50 34658 35 757 64 243 98901 lO 51 31250 32185 67 815 99064 9 51 34 713 35 815 64185 98 898 9 52 31310 32 248 67 752 99 062 8 52 34 769 35 873 64127 98 8% 8 53 31370 32311 67 689 99059 7 53 34 824 35 931 64 069 98893 7 54 31430 32 373 67 627 99 056 6 54 34 879 35 989 64011 98890 6 65 31490 32 436 67 564 99054 5 55 34 934 36047 63 953 98887 6 56 31549 32 498 67 502 99051 4 56 34 989 36105 63 895 98884 4 57 31609 32 561 67 439 99 048 3 57 35 044 36163 63 837 98 881 3 58 31669 32 623 67 377 99046 2 58 35 099 36 221 63 779 98878 2 59 31728 32 685 67 315 99043 1 59 35154 36 279 63 721 98 875 1 60 31788 32 747 67 253 99040 O 60 35 209 36336 63 664 98 872 O o o 10 9 log sin 9 log 008 9 log cot lO log tan 9 log sin f log COS log cot J. VF log tan f ^ / 1 78' 77' if 84 f li: If w (! ( O 5 8 lO 11 12 13 14 16 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 60 51 52 53 54 55 56 57 58 59 eo 13" log sin log tan log cot logooa 9 9 lO 9 9 9 lO 9 35 209 36 336 63 664 98 872 35 263 36394 63 606 98 869 35 318 36 452 63 548 98 867 35 373 36 509 63 491 98 864 35 427 36 566 63 434 98 861 35 481 36624 63 376 98 858 35 536 36 681 63 319 98 855 35 590 36 738 63 262 98 852 35 644 36 795 63 205 98 849 35 698 36 852 63148 98 846 35 752 36 909 63 091 98 843 35 806 36966 63 034 98 840 35 860 37 023 62 977 98837 35 914 37 080 62 920 98 834 35 968 37137 62 863 98 831 36022 37193 62 807 98 828 36 075 37 250 62 750 98 825 36129 37 306 62 694 98 822 36182 37 363 62 637 98 819 36 236 37 419 62 581 98 816 36289 37 476 62 524 98813 36342 37 532 62 468 98 810 36395 37 588 62 412 98 807 36449 37 644 62 356 98 804 36 502 37 700 62 300 98 801 36 555 37 756 62 244 98 798 36 608 37 812 62 188 98 795 36660 37 868 62132 98 792 36 713 37 924 62 076 98 789 36 766 37 980 62 020 98 786 36819 38035 6i965 98 783 36871 38 091 61909 98 780 36924 38147 61853 98 777 36 976 38 202 61798 98 774 37 028 38 257 61743 98 771 37 081 38 313 61687 98 768 37133 38 368 61632 98 765 37185 38423 61577 98 762 37 237 38479 61521 98 759 37 289 .38 534 61466 98 756 37341 38 589 61411 98 753 37393 38 644 61356 98 750 37 445 38 699 61301 98 746 37 497 38 754 61246 98 743 37 549 38 808 61192 98 740 37 600 38 863 61137 98 737 37 652 38 918 61082 98 734 37 703 38 972 61028 98 731 37 755 39 027 60 973 98 728 37 806 39 082 60 918 98 725 37 858 39136 60 864 98 722 37909 39190 60 810 98 719 37960 39 245 60 755 98 715 38011 39299 60 701 98 712 38062 39353 60 647 98 709 38113 39 407 60 593 98 706 38164 39 461 60 539 98 703 4 38 215 39 515 60 485 98 700 3 38 266 39 569 60431 98697 2 38 317 39623 60 377 98 694 1 38368 39677 60323 98 690 O 60 59 58 57 56 56 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 8 log cos log cot log tan log sin ' 76° O 14° log sin log tan log cot log cos 9 9 lO 9 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 38368 39 677 60323 98 690 38418 39 731 60269 98 687 38 469 39 785 60215 98 684 38 519 39 838 60162 98 681 38 570 39 892 60108 98 678 38620 39 945 60055 98675 38 670 39 999 60001 98 671 38 721 40052 59 948 98 668 38 771 40106 59 894 98 665 38 821 40159 59 841 98 662 38 871 40 212 59 788 98 659 38 921 40 266 59 734 98 656 38 971 40 319 59 681 98 652 39021 40372 59 628 98 649 39071 40 425 59 575 98 646 39121 40 478 59 522 98 643 39170 40 531 59469 98640 39 220 40 584 59416 98636 39 270 40636 59 364 98633 39 319 40 689 59 311 98 630 39 369 40 742 59 258 98 627 39418 40 795 59 205 98 623 39 467 40 847 59153 98620 39 517 40 900 59100 98 617 39 566 40952 59048 98614 39 615 41005 58995 98610 39 664 41057 58943 98607 39 713 41109 58 891 98 604 39 762 41161 58 839 98 601 39 811 41214 58 786 98 597 39 860 41266 58 734 98 594 39 909 41318 58 682 98 591 39 958 41370 58 630 98 588 40006 41422 58 578 98 584 40055 41474 58 526 98 581 40103 41526 58 474 98 578 40152 41578 58422 98 574 40 200 41629 58 371 98 571 40 249 41681 58 319 98 568 40297 41733 58 267 98 565 40 40346 41784 58 216 98 561 40 394 41836 58164 98 558 40442 41887 58113 98 555 40 490 41939 58 061 98 551 40 538 41990 58010 98 548 40 586 42 041 57959 98 545 40 634 42 093 57907 98 541 40 682 42144 57 856 98 538 40 730 42195 57 805 98 535 40 778 42 246 57 754 98 531 40825 42 297 57 703 98 528 40 873 42 348 57 652 98 525 40921 42 399 57601 98 521 40 968 42 450 57 550 98 518 41016 42 501 57 499 98 515 41063 42 552 57448 98 511 41111 42 603 57 397 98 508 41158 42 653 57 347 98 505 41205 42 704 57 2% 98 501 59 I 41252 42 755 57 245 98 498 60 1 41300 42805 57195 98494 9 9 lO 9 log COS log cot log tan log sin 76^ 60 59 58 57 56 55 54 53 52 51 60 49 48 47 46 46 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O 16' 16' 35 r log sin log tan log cot log cos f f log sin log tan log cot log cos f 9 41300 9 42 805 lO 57195 9 98 494 9 44 034 9 45 750 lO 54 250 9 98 284 O 60 O GO 1 41347 42 856 57144 98491 59 1 44078 45 797 54 203 98 281 59 2 41394 42 906 57 094 98488 58 2 44122 45 845 54155 98 277 58 3 41441 42 957 57043 98 484 57 3 44166 45 892 54108 98 273 57 4 41488 43 007 56993 98 481 56 4 44 210 45 940 54 060 98 270 56 6 41535 43 057 56943 98 477 55 5 44 253 45 987 54 013 98 266 65 6 41 582 43108 56 892 98474 54 6 44 297 46035 53 %5 98 262 54 7 41628 43158 56 842 98471 53 7 44 341 46082 53 918 98 259 53 8 41675 43 208 56 792 98 467 52 8 44 385 46130 53 870 98 255 52 9 41722 43 258 56 742 98 464 51 9 44 428 46177 53 823 98251 51 10 41768 43 308 56692 98460 50 10 44 472 46 224 53 776 98 248 60 11 41815 43 358 56642 98457 49 11 44 516 46271 53 729 98 244 49 12 41861 43 408 56 592 98453 48 12 44 559 46319 53 681 98 240 48 13 41908 43 458 56 542 98450 47 13 44 602 46366 53 634 98 237 47 14 41954 43 508 56492 98447 46 14 44 646 46413 53 587 98 233 46 15 42 001 43 558 56442 98443 45 15 44689 46460 53 540 98 229 45 16 42 047 43 607 56 393 98440 44 16 44 733 46 507 53 493 98 226 44 17 42093 43 657 56 343 98436 43 17 44 776 46 554 53 446 98 222 43 18 42140 43 707 56 293 98 433 42 18 44 819 46601 53 399 98 218 42 19 42186 43 756 56 244 98429 41 19 44862 46648 53 352 98 215 41 20 42 232 43 806 56194 98426 40 20 44 905 46 694 53 306 98 211 40 21 42 278 43 855 56145 98 422 39 21 44 948 46 741 53 259 98 207 39 22 42 324 43 905 56095 98419 38 22 44992 46 788 53 212 98 204 38 23 42 370 43 954 56046 98415 37 23 45 035 46 835 53165 98 200 37 24 42 416 44 004 55 996 98412 36 24 45 077 46881 53119 98196 36 25 42 461 44053 55 947 98409 35 25 45120 46928 53 072 98192 35 26 42 507 44102 55 898 98405 34 26 45163 46 975 53 025 98189 34 27 42 553 44151 55 849 98402 33 27 45 206 47021 52 979 98185 33 28 42 599 44 201 55 799 98 398 32 28 45 249 47 068 52 932 98181 32 29 42 644 44 250 55 750 98395 31 29 45 292 47114 52 886 98177 31 30 42 690 44 299 55 701 98391 30 30 45 334 47160 52 840 98174 30 31 42 735 44 348 55 652 98 388 29 31 45 377 47 207 52 793 98170 29 32 42 781 44 397 55 603 98384 28 32 45 419 47 253 52 747 98166 28 33 42 826 44 446 55 554 98381 27 33 45 462 47 299 52 701 98162 27 34 42 872 44495 55 505 98377 26 34 45 504 47 346 52 654 98159 26 35 42917 44 544 55 456 98 373 25 35 45 547 47392 52 608 98155 25 36 42 962 44 592 55 408 98370 24 36 45 589 47 438 52 562 98151 24 37 43 008 44 641 55 359 98366 23 37 45 632 47 484 52 516 98147 23 38 43 053 44 690 55 310 98363 22 38 45 674 47 530 52 470 98144 22 39 43 098 44 738 55 262 98359 21 39 45 716 47 576 52 424 98140 21 40 43143 44 787 55 213 98356 20 40 45 758 47 622 52 378 98136 20 41 43188 44 836 55 164 98352 19 41 45 801 47 668 52 332 98132 19 42 43 233 44 884 55 116 98 349 18 42 45 843 47 714 52 286 98129 18 43 43 278 44 933 55 067 98 345 17 43 45 885 47 760 52 240 98125 17 44 43 323 44 981 55 019 98342 16 44 45 927 47 806 52194 9812i 16 45 43 367 45 029 54971 98 338 15 45 45 969 47 852 52148 98117 15 46 43 412 45 078 54 922 98334 14 46 46011 47 897 52103 98113 14 47 43 457 45126 54 874 98331 13 47 46053 47 943 52 057 98110 13 48 43 502 45 174 54 826 98 327 12 48 46095 47 989 52 011 98106 12 49 43 546 45 222 54 778 98 324 11 49 46136 48035 51 %5 98102 11 50 43 591 45 271 54 729 98320 lO 50 46178 48080 51920 98 098 10 51 43 635 45 319 54 681 98 317 9 51 46 220 48126 51874 9809+ 9 52 43 680 45 367 54 633 98313 8 52 46 262 48171 51829 98090 8 53 43 724 45 415 54 585 98309 7 53 46 303 48 217 51783 98087 7 54 43 769 45 463 54 537 98 306 6 54 46345 48 262 51738 98083 6 55 43 813 45 511 54489 98 302 5 55 46 386 48 307 51693 98079 6 56 43 857 45 559 54 441 98 299 4 56 46 428 48 353 51647 98075 4 57 43 901 45 606 54394 98 295 3 57 46 469 48 398 51602 98071 3 58 43 946 45 654 54 346 98 291 2 58 46 511 48 443 51557 98067 2 59 43 990 45 702 54 298 98 288 1 59 46 552 48 489 51511 98 063 1 60 44 034 45 750 54 250 98 284 O 60 46 594 48 534 51466 98060 O 9 log cos 9 log cot lO log tan 9 log sin 9 log cos 9 log cot lO log tan 9 logsrn f f f f 74' o 73 o /' 19< 20' 87 / log Bin log tan log oot log 008 f f log sin log tan log cot log 008 / 9 51264 9 53 697 lO 46303 9 97 567 9 53 405 9 56107 lO 43 893 9 97 299 60 60 1 51301 53 738 46 262 97 563 59 1 53 440 56146 43 854 97 294 59 2 51338 53 779 46 221 97 558 58 2 53 475 56185 43 815 97 289 58 3 51374 53 820 46180 97 554 57 3 53 509 56 224 43 776 97 285 57 4 51411 53 861 46139 97 550 56 4 53 544 56264 43 736 97 280 56 5 51447 53 902 46098 97 545 55 5 53 578 56303 43 697 97 276 55 6 51484 53 943 46057 97 541 54 6 53 613 56 342 43 658 97 271 54 7 51520 53 984 46016 97 536 53 7 53 647 56381 43 619 97 266 53 8 51557 54 025 45 975 97 532 52 8 53 682 56420 43 580 97 262 52 9 51593 54065 45 935 97 528 51 9 53 716 56459 43 541 97 257 51 lO 51629 54106 45 894 97 523 50 lO 53 751 56498 43 502 97 252 50 11 51666 54147 45 853 97 519 49 11 53 785 56 537 43 463 97 248 49 12 51702 54187 45 813 97 515 48 12 53 819 56 576 43 424 97 243 48 13 51738 54 228 45 772 97 510 47 13 53 854 56 615 43 385 97 238 47 14 51774 54 269 45 731 97 506 46 14 53 888 56654 43 346 97 234 46 16 51811 54 309 45 691 97 501 45 15 53 922 56 693 43 307 97229 45 16 51847 54 350" 45 650 97497 44 16 53 957 56 732 43 268 97 224 44 17 51883 54390 45 610 97492 43 17 53 991 56 771 43 229 97 220 43 18 51919 54431 45 569 97488 42 18 54 025 56 810 43190 97 215 42 19 51955 54471 45 529 97484 41 19 54059 56849 43151 97 210 41 20 51991 54 512 45 488 97479 40 20 54093 56 887 43113 97 206 40 21 52 027 54 552 45 448 97 475 39 21 54127 56 926 43 074 97 201 39 22 52 063 54 593 45 407 97470 38 22 54161 56965 43 035 971% 38 23 52 099 54633 45 367 97466 37 23 54195 57004 42 996 97192 37 24 5213i 54 673 45 327 97461 36 24 54229 57042 42 958 97187 36 25 52171 54 714 45 286 97457 35 25 54 263 57081 42 919 97182 35 26 52 207 54 754 45 246 97453 34 26 54 297 57120 42 880 97178 34 27 52 242 54 794 45 206 97 448 33 27 54 331 57158 42 842 97173 33 28 52 278 54835 45165 97444 32 28 54365 57197 42 803 97168 32 29 52 314 54875 45125 97439 31 29 54399 57235 42 765 97163 31 30 52 350 54915 45 085 97435 30 30 54433 57274 42 726 97159 30 31 52 385 54955 45 045 97430 29 31 54466 57312 42 688 97154 29 32 52 421 54995 45 005 97426 28 32 54 500 57 351 42649 97149 28 33 52 456 55 035 44965 97421 27 33 54 534 57 389 42 611 97145 27 34 52 492 55 075 44 925 97417 26 34 54 567 57428 42 572 97140 26 35 52527 55115 44885 97412 25 35 54601 57466 42 534 97135 25 36 52 563 55155 44845 97408 24 36 54 635 57 504 42 4% 97130 24 37 52 598 55195 44805 97403 23 37 54668 57 543 42457 97126 23 38 52 634 55 235 44 765 97399 22 38 54 702 57 581 42 419 97121 22 39 52 669 55 275 44 725 97394 21 39 54 735 57619 42 381 97116 21 40 52 705 55 315 44685 97390 20 40 54 769 57 658 42 342 97111 20 41 52 740 55 355 44645 97385 19 41 54 802 57 696 42 304 97107 19 42 52 775 55 395 44605 97 381 18 42 54 836 57 734 42 266 97102 18 43 52 811 55 434 44 566 97376 17 43 54 869 57 772 42 228 97 097 17 44 52 846 55 474 44 526 97372 16 44 54903 57 810 42190 97 092 16 45 52 881 55 514 44486 97367 15 45 54936 57849 42151 97087 15 46 52 916 55 554 44446 97 363 14 46 54969 57 887 42113 97 083 14 47 52951 55 593 44407 97 358 13 47 55 003 57925 42075 97 078 13 43 52 986 55 633 44367 97 353 12 48 55 036 57 963 42 037 97 073 12 49 53 021 55 673 44327 97349 11 49 55 069 58001 41999 97 068 11 60 53 056 55 712 44 288 97 344 10 50 55 102 58039 41961 97063 lO 51 53092 55 752 44 248 97340 9 51 55136 58077 41923 97059 9 52 53126 55 791 44 209 97 335 8 52 55169 58115 41885 97054 8 53 53161 55 831 44169 97 331 7 53 55 202 58153 41847 97 049 7 54 53196 55 870 44130 97 326 6 54 55 235 58191 41809 97044 6 55 53 231 55910 44090 97322 5 55 55 268 58 229 41771 97039 5 56 53 266 55 949 44051 97317 4 56 55 301 58 267 41733 97035 4 57 53 301 55 989 44 011 97312 3 57 55 334 58304 41696 97030 3 58 53 336 56028 43 972 97308 2 58 55 367 58 342 41658 97025 2 59 53 370 56067 43 933 97 303 1 59 55 400 58380 41620 97 020 1 60 53 405 56107 43 893 97 299 60 55 433 58418 41582 97015 o 9 log COS 9 log oot 10 log tan 9 log sin 9 log 008 9 log cot lO log tan 9 log sin 1 f f t LI I 70' 69' 38 2r 22^ It. o 1 2 3 4 5 6 7 8 9 la 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 42 43 44 45 46 47 48 49 60 51 52 53 54 55 56 57 58 59 60 log sin 9 55 433 55 466 55 499 55 532 55 56+ 55 597 55 630 55 663 55 695 55 728 55 761 55 793 55 826 55 858 55 891 55 923 55 956 55 988 56 021 56 053 56 085 56118 56150 56182 56215 56 247 56 279 56311 56343 56375 56408 56440 56472 56 50+ 56 536 56 568 56 599 56631 56 663 56695 56 727 56 759 56 790 56822 56854 56 886 56917 569+9 56 980 57 012 57 0+4 57 075 57107 57138 57169 57 201 57 232 57 264 57 295 57 326 57 358 9 log cos log tan 9 58418 58455 58 493 58 531 58 569 58 606 58644 58 681 58 719 58 757 58 79+ 58 832 58869 58907 58944 58981 59019 59056 59094 59131 59168 59 205 59 243 59 280 59317 59354 59 391 59429 59 466 59 503 59 5+0 59 577 59 614 59651 59688 59 725 59 762 59 799 59 835 59872 59909 59 946 59 983 60019 60056 60093 60130 60166 60 203 60 240 60 276 60 313 603+9 60 386 60422 60459 60495 60 532 60 568 60605 60641 9 log cot log cot lO 41582 41545 41507 41469 41431 41394 41 356 41319 41281 41243 41206 41168 41131 41093 41056 41019 40981 40944 40906 40 869 40832 40 79i 40 757 40 720 40683 40646 40609 40 571 40 534 40497 40460 40423 40 386 40349 40 312 40 275 40238 40 201 40165 40128 40091 40054 40017 39 981 39944 39907 39 870 39 834 39 797 39 760 39 724 39 687 39651 39 614 39 578 39 541 39 505 39+68 39 432 39 395 39 359 lO log tan log COS 9 97 015 97 010 97 005 97 001 %9% 96 991 %9S6 96981 %976 %971 %966 %962 96957 %952 %947 %942 %937 96932 %927 96 922 %917 %912 %907 %903 %898 %893 %8S8 %883 %878 %873 %868 %863 %858 %853 96848 96 843 %838 96 S33 %828 %823 %S1S %813 %808 %803 %798 %793 %7S8 %783 96 778 %772 %767 %762 %757 %752 96 747 %742 %737 96 732 %727 %722 %717 9 log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 5 4 3 2 1 O f o 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Z3 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 57 358 57 389 57 420 57 451 57 482 57 514 57 545 57 576 57 607 57 638 57 669 57 700 57 731 57 762 57 793 57 824 57 855 57 885 57916 57 947 57978 58 008 58039 58 070 58101 58131 58162 58192 58 223 58 253 58 284 58 314 58 345 58375 58406 58 436 58 467 58497 58 527 58 557 58 588 58 618 58 648 58678 58 709 58 739 58 769 58 799 58 829 58 859 58 889 58919 58949 58979 59 009 59 039 59 069 59098 59128 59158 59188 9 log cos log tan 9 60 641 60677 60 714 60 750 60 786 60823 60 859 60895 60931 60 %7 6100+ 610+0 61076 61112 61148 61184 61220 61256 61292 61328 61364 61400 61436 61472 61 508 61544 61579 61615 61651 61687 61722 61758 61794 61830 61865 61901 61936 61972 62 008 62 043 62 079 62114 62150 62185 62 221 62 256 62 292 62 327 62 362 62 398 62 433 62 468 62 50+ 62 539 62 574 62 609 62 645 62 680 62 715 62 750 62 785 9 log cot log cot lO 39359 39 323 39 286 39 250 39 214 39177 39141 39105 39 069 39033 389% 38960 38924 38 888 38 852 38816 38 780 38 744 38 708 38 672 38636 38 600 38 564 38 528 38 492 38 456 38 421 38385 38 349 38 313 38 278 38 242 38 206 38170 38135 38099 38 064 38 028 37 992 37 957 37 921 37 886 37 850 37 815 37 779 37 744 37 708 37 673 37 638 37 602 37 567 37 532 374% 37 461 37 426 37 391 37 355 37 320 37 285 37 250 37 215 lO log tan log cos 9 %717 %711 %706 96 701 %6% %691 %6S6 %681 96676 %670 %665 96660 %655 %650 %645 %640 96 634 96 629 96 624 %619 %614 %608 %603 %598 %593 %588 %582 %577 %572 %567 %562 %556 96 551 %546 %541 %535 %530 %525 %520 %514 %509 %504 %498 %493 %488 %4S3 %477 %472 %467 %461 %456 %451 %445 %440 96 435 96429 %424 %419 96 413 96 408 96 403 9 log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 5 4 3 2 1 O 23' 24° 89 68 6r ilil o 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 59188 59 218 59 247 59 277 59 307 59336 59 366 593% 59425 59455 59484 59514 59 543 59573 59 602 59632 59661 59690 59 720 59 749 59 778 59 808 59837 59866 59895 59924 59954 59983 60012 60041 60070 60099 60128 60157 60186 60215 60244 60 273 60302 60331 60359 60 388 60 417 60 446 60474 60 503 60 532 60 561 60 589 60618 60646 60675 60 704 60 732 60 761 60 789 60 818 60 846 60 875 60903 60931 9 log cos log tan 9 62 785 62 820 62 855 62 890 62 926 62 961 62 996 63 031 63 066 63101 63135 63170 63 205 63 240 63 275 63 310 63 345 63 379 63 414 63 449 63 484 63 519 63 553 63 588 63 623 63 657 63 692 63 726 63 761 63 796 63 830 63 865 63 899 63 934 63 968 64003 64037 64 072 64106 64140 64175 64 209 64 243 64 278 6+312 6+3+6 6+381 64 415 64 449 64483 64517 6+552 6+586 64 620 64 654 64688 6+722 64 756 64 790 64 824 64858 9 log cot log cot lO 37 215 37180 37145 37110 37 074 37039 37004 36969 36934 36899 36 865 36830 36 795 36 760 36 725 36690 36655 36621 36 586 36 551 36 516 36481 36447 36412 36377 36 343 36308 36 274 36239 36204 36170 36135 36101 36066 36032 35 997 35 963 35 928 35 894 35 860 35 825 35 791 35 757 35 722 35 688 35 654 35 619 35 585 35 551 35 517 35 483 35 448 35 414 35 380 35 346 35 312 35 278 35 244 35 210 35 176 35142 lO log tan log cos 9 96403 96397 96392 96 387 96381 96376 96370 %365 96360 96354 96349 %343 %338 96333 96 327 96322 96316 %311 96305 96300 %294 96 289 %284 96 278 96 273 96 267 %262 96 256 96 251 96 245 96 240 %234 96 229 96 223 96 218 %212 96 207 %201 96196 96190 96185 %179 96174 96168 96162 96 157 96151 %146 96140 96135 96129 96123 96118 96112 96107 96101 %095 96090 96 084 %079 %073 9 log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 6 4 3 2 1 O O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 60931 60960 60 988 61016 61045 61073 61101 61129 61158 61186 61214 61242 61270 61298 61326 61354 61382 61411 61438 61466 61494 61522 61550 61578 61606 61634 61662 61689 61717 61745 61773 61800 61828 61856 61883 61911 61939 61966 61994 62 021 62 049 62 076 62104 62131 62159 62186 62 214 62 241 62 268 62 2% 62 323 62 350 62 377 62 405 62 432 62 459 62 486 62 513 62 541 62 568 62 595 9 log COS log tan 9 64 858 64 892 64 926 64 960 64 994 65 028 65 062 65 0% 65 130 65 164 65 197 65 231 65 265 65 299 65 333 65 366 65 400 65 434 65 467 65 501 65 535 65 568 65 602 65 636 65 669 703 65 65 736 65 770 65 803 65 837 65 870 65 904 65 937 65 971 66004 66038 66071 66104 66138 66171 66 204 66 238 66 271 66 304 66 337 66 371 66404 66 437 66 470 66 503 66 537 66 570 66 603 66636 66 669 66 702 66 735 66 768 66 801 66 834 66867 9 log cot log cot lO 35 142 35108 35 074 35 040 35 006 34972 34938 34 904 34 870 34 836 34 803 34 769 34 735 34 701 34 667 34634 34 600 34 566 34 533 34 499 34 465 34 432 34 398 34 364 34 331 34 297 34 264 34 230 34197 34163 34130 34 096 34 063 34 029 33 9% 33 %2 33 929 33 8% 33 862 33 829 33 796 33 762 33 729 33 696 33 663 33 629 33 596 33 563 33 530 33 497 33 463 33 430 33 397 33 364 33 331 33 298 33 265 33 232 33199 33166 33133 lO log tan log cos 9 96073 %067 96062 %056 96050 %045 96039 %034 96028 96022 96017 96011 96005 96000 95 994 95 988 95 982 95 977 95 971 95 965 95 960 95 954 95 948 95 942 95 937 95 931 95 925 95 920 95 914 95 908 95 902 95 897 95 891 95 885 95 879 95 873 95 868 95 862 95 856 95 850 95 844 95 839 95 833 95 827 95 821 95 815 95 810 95 804 95 798 95 792 95 786 95 780 95 775 95 769 95 763 95 757 95 751 95 745 95 739 95 733 95 728 9 log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 5 4 3 2 1 O 66' 66' Ht 40 O 5 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 26^ logdn log tan logoot logoos 9 9 lO 9 62 595 66867 33133 95 728 62 622 66900 33100 95 722 62 649 66933 33 067 95 716 62 676 66966 33 034 95 710 62 703 66999 33001 95 704 62 730 67032 32 968 95 698 62 757 67 065 32 935 95 692 62 784 67 098 32 902 95 686 62 811 67131 32 869 95 680 62 838 67163 32 837 95 674 62 865 67196 32 804 95 668 62 892 67 229 32 771 95 663 62 918 67 262 32 738 95 657 62 945 67 295 32 705 95 651 62 972 67 327 32 673 95 645 62999 67360 32640 95 639 63 026 67 393 32 607 95 633 63 052 67 426 32 574 95 627 63 079 67 458 32 542 95 621 63106 67 491 32 509 95 615 63133 67 524 32 476 95 609 63159 67 556 32 444 95 603 63186 67 589 32 411 95 597 63 213 67 622 32 378 95 591 63 239 67 654 32 346 95 585 63 266 67 687 32 313 95 579 63 292 67 719 32 281 95 573 63 319 67 752 32 248 95 567 63 345 67 785 32 215 95 561 63 372 67 817 32183 95 555 63 398 67 850 32150 95 549 63 425 67 882 32118 95 543 63 451 67 915 32 085 95 537 63 478 67 947 32 053 95 531 63 504 67 980 32 020 95 525 63 531 68 012 31988 95 519 63 557 68 044 31956 95 513 63 583 68077 31923 95 507 63 610 68109 31891 95 500 63 636 6S]42 31858 95 494 63 662 68174 31826 95 488 63 689 68 206 31794 95 482 63 715 68 239 31761 95 476 63 741 68 271 31729 95 470 63 767 68303 31697 95 464 63 794 68 336 31 66^ 95 458 63 820 68 368 31632 95 452 63846 68400 31600 95446 63 872 68432 31568 95 440 63 898 68 465 31535 95 434 63 924 68 497 31503 95 427 63 950 68 529 31471 95 421 63976 68 561 31439 95 415 6^002 68593 31407 95 409 6*028 68 626 31374 95 403 64 054 68 658 31342 95 397 64080 68690 31310 95 391 64106 68 722 31278 95 384 64132 68 754 31246 95 378 64158 68 786 31214 95 372 64184 68 818 31182 95 366 9 9 lO 9 logoos logoot log tan log sin 64' 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 i28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O O 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 26^ log sin log tan logoot logooi 9 9 10 9 64184 68 818 31182 95 366 64 210 68 850 31150 95 360 64 236 68 882 31118 95 354 64 262 68 914 31086 95 348 64 288 68946 31054 95 341 64 313 68978 31022 95 335 64 339 69 010 30990 95 329 64 365 69 (H2 30 958 95 323 64 391 69 074 30926 95 317 64 417 69106 30894 95 310 64 442 69138 30862 95 304 64 468 69170 30 830 95 298 64 494 69 202 30 798 95 292 64 519 69 234 30 766 95 286 64 545 69266 30 734 95 279 64 571 69 298 30 702 95 273 64 596 69329 30671 95 267 64 622 69 361 30 639 95 261 64 647 69393 30 607 95 254 64 673 69 425 30 575 95 248 64 698 69 457 30 543 95 242 64 724 69 488 30 512 95 236 64 749 69 520 30 480 95 229 64 775 69 552 30448 95 223 64 800 69 584 30416 95 217 6*826 69 615 30385 95 211 64 851 69 647 30353 95 204 64 877 69 679 30321 95198 64 902 69 710 30 290 95192 64 927 69 742 30258 95185 64 953 69 774 30 226 95 179 64 978 69 805 30195 95173 65 003 69837 30163 95 167 65 029 69 868 30 132 95 160 65 054 69900 30100 95154 65 079 69 932 30068 95148 65 104 69 %3 30037 95 141 65 130 69 995 30005 95 135 65 155 70 026 29 974 95 129 65 180 70 058 29 942 95 122 65 205 70089 29911 65 230 70121 29 87 65 255 70152 29 84 65 281 70184 29 SL 65 306 70 215 29 78 65 331 70 247 29 75 65 356 70 278 29 72 65 381 70309 2969 65 406 70 341 29 65 65 431 70372 29 62 65 456 70 404 29 59 65 481 70 435 29 56 65 506 70466 29 53 65 531 70498 29 50 65 556 70 529 2947 65 580 70 560 2944 65 605 70 592 2940 65 630 70623 29 37 65 655 70 654 29 34 65 680 70685 2931 65 705 70 717 29 9 9 lO log COS log oot log 63' 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 1 \fb lib 9 95 110 25U 19 8 95 103 18 6 95 097 17 5 95 090 16 3 95 084 15 2 95 078 14 »1 95 071 13 9 95 065 12 8 95 059 11 »6 95 052 lO »5 95 046 9 •4 95 039 8 )2 95 033 7 1 95 027 6 ^0 95 020 5 )8 95 014 4 7 95 007 3 ^6 95 001 2 .5 94 995 1 13 94988 O i 9 m log sin / k 27^ 28' 41 o 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin log tan log cot logoos 9 9 10 9 65 705 70 717 29 283 94 988 65 729 70 748 29 252 94 982 65 754 70 779 29 221 94 975 65 779 70 810 29190 94 969 65 804 70841 29159 94 962 65 828 70873 29127 94 956 65 853 70 904 29 096 94 949 65 878 70935 29 065 94 943 65 902 70 966 29 034 94 936 65 927 70997 29003 94930 65 952 71028 28972 94 923 65 976 71059 28 941 94 917 66 001 71090 28 910 94 911 66025 71121 28 879 94 904 66050 71153 28 847 94 898 66075 71184 28 816 94 891 66 099 71215 28 785 94 885 66124 71246 28 754 94 878 66148 71277 28 723 94 871 66173 71308 28 692 94 865 66197 71339 28 661 94 858 66 221 71370 28 630 94 852 66 246 71401 28 599 94 845 66 270 71431 28 569 94 839 66 295 71462 28 538 94 832 66319 71493 28 507 94 826 66 343 71524 28 476 94 819 66368 71555 28 445 94 813 66 392 71586 28414 94 806 66416 71617 28383 94 799 66 441 71648 28 352 94 793 66465 71679 28 321 94 786 66 489 71709 28 291 94 780 66 513 71740 28 260 94 773 66537 71771 28 229 94 767 66562 71802 28198 94 760 66 586 71833 28167 94 753 66610 71863 28137 94 747 66634 71894 28106 94 740 66658 71925 28075 94 734 66682 71955 28045 94 727 66 706 71986 28014 94 720 66 731 72 017 27 983 94 714 66 755 72 048 27 952 94 707 66 779 72 078 27922 94 700 66803 72109 27 891 94694 66 827 72140 27 860 94 687 66851 72170 27 830 94 680 66875 72 201 27 799 94 674 66 899 72 231 27 769 94 667 66922 72 262 27 738 94 660 66946 72 293 27 707 94 654 66970 72 323 27 677 94647 66994 72354 27646 94640 67 018 72 384 27 616 94 634 67042 72 415 27 585 94 627 67 066 72 445 27 555 94 620 67090 72 476 27 524 94 614 67113 72 506 27 494 94 607 67137 72 537 27 463 94 600 67161 72 567 27433 94 593 9 9 lO 9 logoos logoot log tan log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O O 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin log tan logoot logooi 9 9 lO 9 67161 72 567 27433 94 593 67 185 72 598 27 402 94 587 67 208 72 628 27372 94 580 67 232 72 659 27 341 94 573 67 256 72 689 27 311 94 567 67 280 72 720 27 280 94 560 67 303 72 750 27 250 94 553 67327 72 780 27 220 94 546 67350 72 811 27189 94 540 67374 72 841 27159 94 533 67 398 72 872 27128 94 526 67 421 72 902 27 098 94 519 67 445 72 932 27 068 94 513 67 468 72 963 27 037 94 506 67 492 72 993 27 007 94 499 67 515 73 023 26977 94 492 67 539 73 054 26 946 94 485" 67 562 73 084 26916 94 479 67 586 73114 26 886 94 472 67 609 73144 26856 94 465 67 633 73175 26 825 94 458 67 656 73 205 26 795 94 451 67 680 73 235 26 765 94 445 67 703 73 265 26 735 9-1438 67 726 73 295 26 705 94 431 67 750 73 326 26674 94 424 67 773 73 356 26644 94 417 67 7% 73 386 26614 94 410 67 820 73 416 26 584 94404 67 843 73 446 26554 94397 67 866 73 476 26 524 94 390 67 890 73 507 26493 94 383 67 913 73 537 26 463 94 376 67936 73 567 26 433 94 369 67959 73 597 26403 94 362 67 982 73 627 26373 94 355 68006 73 657 26343 94 349 68 029 73 687 26 313 94 342 68 052 73 717 26 283 94 335 68075 73 747 26 253 94 328 68 098 73 777 26 223 94 321 68121 73 807 26193 94 314 68144 73 837 26163 94307 68167 73 867 26133 94 300 68190 73 897 26103 94 293 68 213 73 927 26073 94 286 68 237 73 957 26 043 94 279 68 260 73 987 26013 94 273 68 283 74 017 25 983 94 266 68305 74 047 25 953 94 259 68 328 74 077 25 923 94 252 68351 74107 25 893 94 245 68 374 74137 25 863 94 238 68 397 74166 25 834 94 231 68 420 741% 25 804 94 224 68 443 74 226 25 774 94 217 68 466 74 256 25 744 94 210 68489 74 286 25 714 94 203 68 512 74 316 25 684 941% 68 534 74 345 25 655 94189 68 557 74375 25 625 94182 9 9 lO 9 logoos logoot log tan log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 5 O 62' 61' I I 42 29^ 30' f log sin log tan log cot log 008 f r log sin log tan log cot log cos f 9 68 557 9 74 375 lO 25 625 9 94 182 9 69 897 9 76144 10 23 856 9 93 753 o 60 60 1 68 580 74 405 25 595 94 175 59 1 69 919 76173 23 827 93 746 59 2 68 603 74 435 25 565 94168 58 2 69 941 76 202 23 798 93 738 58 3 68 625 74 465 25 535 94161 57 3 69963 76 231 23 769 93 731 57 4 68 648 74 494 25 506 94154 56 4 69 984 76 261 23 739 93 724 56 5 68 671 74 524 25 476 94147 55 5 70006 76 290 23 710 93 717 55 6 68 694 74 554 25 446 94140 54 6 70 028 76 319 23 681 93 709 54 7 68 716 74 583 25 417 94133 53 7 70 050 76 348 23 652 93 702 53 8 68 739 74 613 25 387 94 126 52 8 70072 76377 23 623 93 695 52 9 68 762 74 643 25 357 94 119 51 9 70093 76 406 23 594 93 687 51 10 68 784 74 673 25 327 94112 50 10 70115 76435 23 565 93 680 50 11 68 807- 74 702 25 298 94 105 49 11 70137 76 464 23 536 93 673 49 12 68 829 74 732 25 268 94 098 48 12 70159 76493 23 507 93 665 48 13 68 852 74 762 25 238 94 090 47 13 70180 76 522 23 478 93 658 47 14 68 87i 74 791 25 209 94 083 46 14 70 202 76 551 23 449 93 650 46 15 68 897 74 821 25179 94 076 45 15 70 224 76 580 23 420 93 643 45 16 68 920 74 851 25 149 94 069 44 16 70 245 76 609 23 391 93 636 44 17 68 942 74 880 25 120 94 062 43 17 70 267 76 639 23 361 93 628 43 18 68 %5 74 910 25 090 94 055 42 18 70 288 76668 23 332 93 621 42 19 68987 74 939 25 061 94 048 41 19 70310 76 697 23 303 93 614 41 20 69 010 74 %9 25 031 94 041 40 20 70 332 76 725 23 275 93 606 40 21 69 032 74 998 25 002 94 034 39 21 70 353 76 754 23 246 93 599 39 22 6905i 75 028 24 972 94 027 38 22 70 375 76 783 23 217 93 591 38 23 69 077 75 058 24 942 94 020 37 23 70 396 76 812 23 188 93 584 37 24 69100 75 087 24 913 94 012 36 24 70418 76 841 23159 93 577 36 25 69122 75 117 24 883 94 005 35 25 70 439 76 870 23130 93 569 35 26 69144 75 146 24 854 93 998 34 26 70 461 76 899 23101 93 562 34 27 69167 75 176 24 824 93 991 33 27 70482 76 928 23 072 93 554 33 28 69189 75 205 24 795 93 984 32 28 70 504 76 957 23 043 93 547 32 29 69 212 75 23i 24 765 93 977 31 29 70 525 76986 23 014 93 539 31 30 69 234 75 264 24 736 93 970 30 30 70 547 77015 22 985 93 532 30 31 69 256 75 294 24 706 93 963 29 31 70 568 77 044 22 956 93 525 29 32 69 279 75 323 24 677 93 955 28 32 70 590 77 073 22 927 93 517 28 33 69 301 75 353 24 647 93 948 27 33 70611 77101 22 899 93 510 27 34 69323 75 382 24 618 93 941 26 34 70633 77130 22 870 93 502 26 35 69345 75 411 24 589 93 934 25 35 70 654 77159 22 841 93 495 25 36 69368 75 441 24 559 93 927 24 36 70675 77188 22 812 93 487 24 37 69 390 75 470 24 530 93 920 23 37 70697 77 217 22 783 93 480 23 38 69412 75 500 24 500 93 912 22 38 70 718 77 246 22 754 93 472 22 39 69 434 75 529 24 471 93 905 21 39 70 739 77 274 22 726 93 465 21 40 69 456 75 558 24 442 93 898 20 40 70 761 77 303 22 697 93 457 20 41 69479 75 588 24 412 93 891 19 41 70 782 77 332 22 668 93 450 19 42 69 501 75 617 24 383 93 884 18 42 70 803 77 361 22 639 93 442 18 43 69 523 75 647 24 353 93 876 17 43 70824 77 390 22 610 93 435 17 44 69 545 75 676 24 324 93 869 16 44 70 846 77 418 22 582 93 427 16 45 69 567 75 705 24 295 93 862 15 45 70 867 77 447 22 553 93 420 15 46 69 589 75 735 24 265 93 855 14 46 70 888 77 476 22 524 93 412 14 47 69 611 75 764 24 236 93 847 13 47 70909 77 505 22 495 93 405 13 48 69633 75 793 24 207 93 840 12 48 70931 77 533 22 467 93 397 12 49 69655 75 822 24178 93 833 11 49 70 952 77 562 22 438 93 390 11 50 69 677 75 852 24148 93 826 lO 50 70973 77 591 22 409 93 382 lO 51 69699 75 881 24119 93 819 9 51 70 994 77 619 22 381 93 375 9 52 69 721 75 910 24 090 93 811 8 52 71015 77 648 22 352 93 367 8 53 69 743 75 939 24 061 93 804 7 53 71036 77677 22 323 93 360 7 54 69 765 75 %9 24 031 93 797 6 54 71058 77 706 22 294 93 352 6 55 69 787 75 998 24 002 93 789 5 55 71079 77 734 22 266 93 344 5 56 69 809 76 027 23 973 93 782 4 56 71100 77 763 22 237 93 337 4 57 69831 76056 23 944 93 775 3 57 71121 77 791 22 209 93 329 3 58 69 853 76086 23 914 93 768 2 58 71142 77 820 22180 93 322 2 59 69 875 76 Hi 23 885 93 760 1 59 71163 77 849 22151 93 314 1 60 69 897 76144 23 856 93 753 O 60 71184 77 877 22123 93 307 O 9 log 008 9 log cot lO log tan 9 log sin Q a lO log tan 9 log sin f f r log cos CF log cot r m 69' 3r o lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 31 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 60 51 52 53 54 55 56 57 58 59 60 log sin log tan log cot log cos 9 9 lO 71184 77 877 22123 93 307 71205 77 906 22 094 93 299 71226 77935 22 065 93 291 71247 77 %3 22 037 93 284 71268 77992 22 008 93 276 71289 78020 21980 93 269 71310 78049 21951 93 261 71331 78077 21923 93 253 71352 78106 21894 93 246 71373 78135 21865 93 238 71393 78163 21837 93 230 71414 78192 21808 93 223 71435 78 220 21780 93 215 71456 78 249 21751 93 207 71477 78 277 21723 93 200 71498 78 306 21694 93192 71519 78334 21666 93 184 71539 78 363 21637 93177 71560 78 391 21609 93169 71581 78419 21581 93161 71602 78 448 21552 93154 71622 78 476 21524 93146 71643 78 505 21495 93138 71664 78 533 21467 93131 71685 78 562 21438 93123 71705 78 590 21410 93 115 71726 78 618 21382 93108 71747 78647 21353 93100 71767 78675 21325 93 092 71 788 78 704 21296 93 084 71809 78 732 21268 93 077 71829 78 760 21240 93 069 71850 78 789 21211 93 061 71870 78 817 21183 93 053 71891 78 845 21155 93 046 71911 78 874 21126 93 038 71932 78 902 21098 93 030 71952 78930 21070 93 022 71973 78959 21041 93 014 71994 78987 21013 93 007 72 014 79 015 20985 92 999 72 034 79 043 20 957 92 991 72 055 79 072 20928 92 983 72 075 79100 20900 92 976 72 096 79128 20872 92 968 72116 79156 20 844 92 960 72137 79185 20 815 92 952 72157 79 213 20 787 92 944 72177 79 241 20 759 92 936 72198 79 269 20 731 92 929 72 218 79 297 20 703 92 921 72 238 79326 20674 92 913 72 259 79354 20646 92 905 72 279 79 382 20 618 92 897 72 299 79 410 20 590 92 889 72 320 79438 20 562 92 881 72 340 79466 20 534 92 874 72 360 79 495 20 505 92 866 72 381 79 523 20477 92 858 72 401 79 551 20 449 92 850 72 421 79 579 20421 92 842 9 9 lO 9 log cos log cot log tan log sin 68' 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 Z3 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O O 5 8 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 SZ 54 55 56 57 58 59 60 32° 48 W i log sin log tan log cot log cos 9 9 lO 9 72 421 79 579 20421 92 842 72 441 79 607 20 393 92 834 72 461 79 635 20365 92 826 72 482 79 663 20 337 92 818 72 502 79 691 20309 92 810 72 522 79 719 20 281 92 803 72 542 79 747 20 253 92 795 72 562 79 776 20224 92 787 72 582 79 804 201% 92 779 72 602 79 832 20168 92 771 72 622 79 860 20 140 92 763 72 643 79 888 20112 92 755 72 663 79916 20084 92 747 72 683 79944 20056 92 739 72 703 79 972 20028 92 731 72 723 80000 20 000 92 723 72 743 80028 19 972 92 715 72 763 80056 19 944 92 707 72 783 80084 19 916 92 699 72 803 80112 19 888 92 691 72 823 80140 19 860 92 683 72 843 80168 19 832 92 675 72 863 80195 19 805 92 667 72 883 80 223 19 777 92 659 72 902 80251 19 749 92 651 72 922 80 279 19 721 92 643 72 942 80307 19 693 92 635 72 %2 80 335 19 665 92 627 72 982 80363 19 637 92 619 73 002 80 391 19609 92 611 73 022 80419 19 581 92 603 73 041 80447 19 553 92 595 73 061 80 474 19 526 92 587 73 081 80 502 19498 92 579 73101 80 530 19470 92 571 73121 80 558 19442 92 563 73140 80 586 19 414 92 555 73160 80 614 19 386 92 546 73180 80 642 19 358 92 538 73 200 80 669 19 331 92 530 73 219 80 697 19303 92 522 73 239 80 725 19 275 92 514 73 259 80 753 19 247 92 506 73 278 80 781 19 219 92 498 73 298 80 808 19192 92 490 73 318 80 836 19164 92 482 73 337 80 864 19136 92 473 73 357 80 892 19108 92 465 73 377 80919 19081 92 457 73 3% 80947 19053 92 449 73 416 80975 19025 92 441 73 435 81003 18 997 92 433 73 455 81030 18970 92 425 73 474 81058 18942 92 416 73 494 81086 18 914 92 408 73 513 81113 18 887 92 400 73 533 81141 18 859 92 392 73 552 81169 18 831 92 384 73 572 811% 18 804 92 376 73 591 81224 18 776 92 367 73 611 81252 18 748 92 359 9 9 lO 9 log 008 log cot log tan log sin 67' 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 O 44 33' 34' 36° f U b o 1 2 3 4 5 6 7 8 9 la 11 12 13 14 15 16 17 IS 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4t 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log lia 9 73611 73 630 73 650 73 669 73 689 73 708 73 727 73 747 73 766 73 785 73805 73824 73843 73 863 73 882 73901 73921 73940 73 959 73978 73 997 74017 74036 74055 74074 74093 74113 74132 74151 74170 74189 74 208 74 227 74 246 74 265 74 284 74303 74322 74 341 74360 74379 74398 74 417 74436 74455 74474 74493 74 512 74 531 74 549 74 568 74 587 74606 74 625 74644 74662 74 681 74 700 74 719 74 737 74 756 logooi log tan 9 81252 81279 81307 81335 81362 81390 81418 81445 81473 81500 81528 81556 81583 81611 81638 81666 81693 81721 81748 81776 81803 81831 81858 81886 81913 81941 81968 81996 82023 82051 82078 82106 82133 82161 82188 82 215 82 243 82 270 82 298 82325 82352 82380 82 407 82435 82462 82489 82 517 82 544 82 571 82 599 82626 82 653 82 681 82 708 82 735 82 762 82 790 82 817 82 844 82871 82899 9 log oot logoot lO 18 748 18 721 18693 18665 18638 18610 18 582 18 555 18 527 18500 18472 18444 18417 18389 18362 18334 18307 18 279 18 252 18224 18197 18169 18142 18114 18087 18059 18032 18004 17977 17949 17922 17 894 17 867 17 839 17 812 17 785 17 757 17 730 17 702 17 675 17648 17 620 17 593 17 565 17 538 17 511 17483 17456 17429 17401 17374 17 347 17 319 17 292 17 265 17 238 17 210 17183 17156 17129 17101 lO logUa log 001 9 92 359 92351 92343 92335 92 326 92318 92 310 92 302 92 293 92 285 92 277 92 269 92 260 92 252 92244 92 235 92 227 92 219 92 211 92 202 92194 92186 92177 92169 92161 92152 92144 92136 92127 92119 92111 92102 92 094 92086 92077 92069 92060 92 052 92 OH 92035 92027 92 018 92 010 92002 91993 91985 91976 91968 91959 91951 91942 91934 91925 91917 91908 91900 91891 91883 91874 91866 91857 9 leg lis 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 '7 6 5 4 3 2 1 O O 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 74 756 74 775 74 794 74 812 74 831 74 850 74 868 74 887 74906 74924 74943 74 %1 74980 74999 75 017 75 036 75 054 75 073 75 091 75110 75128 75147 75165 75184 75 202 75 221 75 239 75 258 75 276 75 294 75 313 75 331 75 350 75 368 75 386 75 405 75 423 75 441 75 459 75 478 75 496 75 514 75 533 75 551 75 569 75 587 75 605 75 624 75 642 75 660 75 678 75 696 75 714 75 733 75 751 75 769 75 787 75 805 75 823 75 841 75 859 9 logoot log tan 9 82 899 82 926 82953 82 980 83 008 83 035 83 062 83 089 83117 83144 83171 83198 83 225 83 252 83 280 83 307 83 334 83 361 83 388 83 415 83 442 83 470 83 497 83 524 83 551 83 578 83 605 83 632 83 659 83 686 83 713 83 740 83 768 83 795 83 822 83 849 83 876 83 903 83 930 83 957 83 984 84011 84038 84065 84092 84119 84146 84173 84 200 84 227 84 254 84 280 84 307 84 334 84 361 84388 84 415 84 442 84 469 84 496 84 523 9 logoot logoot lO 17101 17 074 17 047 17 020 16 992 16965 16938 16911 16883 16856 16829 16802 16 775 16748 16 720 16693 16666 16639 16612 16 585 16558 16530 16 503 16476 16449 16422 16395 16368 16341 16314 16287 16260 16 232 16205 16178 16151 16124 16097 16070 16043 16016 15 989 15 962 15 935 15 908 15 881 15 854 15 827 15 800 15 773 15 746 15 720 15 693 15 666 15 639 15 612 15 585 15 558 15 531 15 504 15 477 lO log tan log 001 9 91857 91849 91840 91832 91823 91815 91806 91798 91789 91781 91772 91763 91755 91746 91738 91729 91720 91712 91703 91695 91686 91677 91669 91660 91651 91643 91634 91625 91617 91608 91599 91591 91582 91573 91565 91556 91547 91538 91530 91521 91512 91504 91495 91486 91477 91469 91460 91451 91442 91 433 91425 91416 91407 91398 91389 91381 91372 91363 91354 91345 91336 9 logsta 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 lO 9 8 7 6 5 4 3 2 1 O f log lin log tan log oot log 008 / 9 9 75 859 84 523 10 9 15 477 91336 o 60 I 75 877 84 550 15 450 91328 59 2 75 895 84 576 15 424 91319 58 3 75 913 84 603 15 397 91310 57 4 75 931 84 630 15 370 91301 56 5 75 949 84657 15 343 91292 55 6 75 %7 84 684 15 316 91283 54 7 75 985 84 711 15 289 91274 53 8 76003 84 738 15 262 91266 52 9 76021 84 764 15 236 91257 51 10 .76039 84 791 15 209 91248 50 11 76057 84 818 15182 91239 49 12 76075 84845 15155 91230 48 13 76093 84872 15128 91221 47 14 76111 84 899 15101 91212 46 15 76129 84925 15 075 91203 45 16 76146 84 952 15 048 91194 44 17 76164 84979 15 021 91185 43 18 76182 85 006 14994 91176 42 19 76 200 85 033 14 %7 91167 41 20 76 218 85 059 14 941 91158 40 21 76236 85 086 14914 91149 39 22 76 253 85113 14 887 91141 38 •23 76 271 85140 14 860 91132 37 24 76 289 85166 14 834 91123 36 25 76307 85193 14 807 91114 35 26 76324 85 220 14 780 91105 34 27 76342 85 247 14 753 91096 33 28 76360 85 273 14 727 91087 32 29 76378 85 300 14 700 91078 31 30 76395 85 327 14 673 91069 30 31 76413 85 354 14646 91060 29 32 76431 85 380 14620 91051 28 33 76448 85 407 14 593 91042 27 34 76466 85 434 14 566 91033 26 35 76484 85 460 14 540 91023 25 36 76 501 85 487 14 513 91014 24 37 76 519 85 514 14486 91005 23 38 76 537 85 540 14460 90996 22 39 76 554 85 567 14 433 90987 21 40 76 572 85 594 14406 90978 20 41 76 590 85 620 14 380 90969 19 42 76607 85 647 14 353 90960 18 43 76625 85 674 14326 90951 17 44 76642 85 700 14300 90942 16 45 76660 85 7:?7 14 273 90933 15 4d 76677 85 754 14 246 90924 14 47 76695 85 780 14220 90915 13 48 76712 85 807 14193 90906 12 49 76 730 85 834 14166 908% 11 50 76 747 85 860 14140 90887 lO 51 76 765 85 887 14113 90878 9 52 76 782 85 913 14087 90869 8 53 76800 85 940 14060 90860 7 54 76817 85 967 14 033 90851 6 5^ 76835 85 993 14007 90842 5 56 76852 86020 13 980 90 832 4 57 76870 86046 13 954 90823 3 58 76887 86073 13 927 90814 2 59 76904 86100 13 900 90805 1 60 76922 86126 13 874 90 796 O .' 9 9 log 001 logoot 10 9 log tan log tin f f 36° 45 f log sin log tan log oot log ooi f 9 76922 9 lO 9 86126 13 874 90 796 60 1 76939 86153 13 847 90 787 59 2 76957 86179 13 821 90 777 58 3 76974 86 206^3 794 90 768 57 4 76991 86 232 13 768 90759 56 5 77009 86 259 13 741 90750 55 6 77026 86 285 13 715 90741 54 7 77043 86312 13 688 90 731 53 8 77061 86338 13 662 90 722 52 9 77078 86365 13635 90713 51 10 77095 86392 13 608 90704 50 11 77112 86418 13 582 90694 49 12 77130 86445 13 555 90685 48 13 77147 86471 13 529 90676 47 14 77164 86498 13 502 90667 46 15 77181 86 524 13 476 90657 45 16 77199 86551 13449 90648 44 17 77 216 86 577 13 423 90639 43 18 77 233 86603 13397 90630 42 19 77 250 86630 13 370 90620 41 20 77 268 86656 13 344 90611 40 21 77 285 86683 13 317 90602 39 22 77 302 86 709 13 291 90592 38 23 77 319 86736 13264 90583 37 24 77336 86 762 13 238 90 574 36 25 77 353 86 789 13 211 90 565 35 26 77370 86815 13185 90555 34 27 77387 86 842 13158 90 546 33 28 77405 86868 13132 90 537 32 29 77422 86894 13106 90527 31 30 77439 86921 13079 90518 30 31 77456 86947 13053 90509 29 32 77473 86974 13 026 90499 28 33 77 490 87000 13000 90490 .27 34 77 507 87027 12973 90480 26 35 77 524 87053 12947 90471 25 36 77 541 87079 12 921 90462 24 37 77 558 87106 12 894 90452 23 38 77 575 87132 12 868 90443 22 39 77 592 87158 12 842 90434 21 40 77609 87185 12 815 90424 20 41 77626 87 211 12 789 90415 19 42 77643 87 238 12 762 90405 18 43 77660 87 264 12 736 903% 17 44 77677 87 290 12 710 90386 16 45 77694 87317 12683 90377 15 46 77 711 87343 12657 90368 14 47 77 728 87369 12631 90358 13 48 77 744 873% 12604 90349 12 49 77 761 87 422 12 578 90339 11 50 77 778 87 448 12 552 90330 lO 51 77 795 87 475 12 525 90320 9 52 77812 87 501 12«I99 90311 8 53 77 829 87 527 12-473-90301 7 54 77846 87 554 12446 90 292 6 55 77862 87 580 12 420 90 282 5 56 77 879 87 606 12 394 90 273 4 57 77 896 87633 12367 90263 3 58 77913 87 659 12 341 90 254 2 59 77930 87685 12 315 90 244 1 60 77946 87 711 12 289 90 235 O o 9 lO 9 log oot log tan log sin ' log 001 f 66' 66' 64' 63° i ■Mil 46 37 38' \ I if f log sin log tan O 9 77 946 87 711 log oot log 008 lO 9 12 289 90235 f f logiin log tan log oot logoos 9 9 10 9 78 934 89 281 10 719 89653 / 60 o 60 1 77 963 87 738 12 262 90 225 59 ,1 78 950 89307 10693 89643 59 2 77980 87 764 12 236 90216 58 2 78 %7 89333 10667. 89633 58 3 77997 87 790 12 210 90 206 57 .3 78983 89359 10641, 89624 57 *4 78013 87 817 12183 90197 56 4 78999 89385 10615 89614 56 5 78030 87 843 12157 90187 55 5 79015 89411 10 589 89604 55 .6 78047 87 869 12131 90178 54 6 79031 89437 10 563 89 594 54 •7 78063 87 895 12105 90168 53 7 79047 89463 10 537 89.584 53 8 78080 87 922 12 078 90159 52 8 79063 89489 10511 89 574 52 9 78097 87 948 12 052 90149 51 9 79079 89 515 10485 89 564 51 10 78113 87 974 12 026 90139 50 10 79095 89 541 10459 89 554 50 11 78130 88000 12 000 90130 49 11 79111 89 567 10433 89 544 49 12 78147 88027 11973 90120 48 12 79128 89593 10407 89 534 48 13 78163 88053 11947 90111 47 13 79144 89 619 10 381 89 524 47 14 78180 88079 11921 90101 46 14 79160 89645 10355 89 514 46. 15 78197 88105 11895 90091 45 15 79176 89671 10329 89 504 45 16 78 213 88131 11869 90082 44 16 79192 89697 10303 89495 44 17 78 230 88158 11842 90072 43 17 79 208 89 723 10277 89 485 43 18 78 246 88184 11816 90063 42 18 79 224 89 749 10 251 89475 42 19 78 263 88 210 11790 90053 41 19 79 240 89 775 10 225 89 465 41. 20 78 280 88 236 11764 90043 40 20 79 256 89 801 10199 89455 40 21 78 2% 88 262 11738 90034 39 21 79 272 89 827 10173 89445 39 22 78 313 88 289 11711 90024 38 22 70288 89 853 10147 89435 38 23 78329 88 315 11685 90 014 37 23 79 304 89 879 10121 89425 37 24 78346 88341 11659 90005 36 24 79319 89 905 10095 89415 36 25 78362 88 367 11633 89995 35 • 2^5 79 335 89931 10069 89.405 35 26 78379 88 393 11607 89 985 34 26 79 351 89 957 10043 89395 34 27 78395 88 420 11580 89976 33 27 79367 89983 10017 89385 33 28 78412 88 446 11554 89966 32 28 79383 90009 09991 89375 32 29 78428 88472 11528 89956 31 29 79399 90035 09965 89364 31 30 78445 88498 11502 89947 30 - 30 79415 90061 09939 89354 30 31 78461 88 524 11476 89937 29 31 79431 90086 09914 89344 29 32 78478 88 550 11450 89927 28 32 79447 90112 09888 89334 28 33 78494 88 577 11423 89918 27 ) 33 79463 90138 09 862 89324 27 34 78510 88 603 11397 89 908 26 1 34 79478 90164 09836 89314 26 35 78 527 88 629 11371 89898 25 35 79494 90190 09810 89304 25 36 78 543 88655 11345 89 888 24 36 79 510 90 216 09 784 89 294 24 37 78 560 88 681 11319 89879 23 37 79 526 90 242 09 758 89 284 23 38 78 576 88 707 11293 89869 22 38 79 542 90 268 09 732 89 274 22 39 78592 88 733 11267 89859 21 39 79 558 90 294 09 706 89 264 21 40 78609 88 759 11241 89 849 20 40 79573 90320 09680 89i254 20 41 '78625 88 786 11214 89 840 19 4JL 79 589 90346 09654 89 244 19 42 78642 88812 11188 89830 18 42 79605 90371 09629 89233 18 43 78658 88 838 11162 89 820 17 43 79621 90 397 09 603 89 223 17 44 78674 88 864 11136 89 810 16 44 79636 90 423 09 577 89 213 16 45 78691 88890 11110 89801 15 45 79652 Sk)449 09 551 89 203 15 46 78 707 88916 11084 89 791 14 46 79 668 90475 09 525 89193 14 47 78 723 88942 11058 89 781 13 47 79684 90501 09499 89183 13 48 78 739 88968 11032 89 771 12 4S 79699 90 527 09473 89173 12 49 78 756 88994 11006 89 761 11 49 79 715 90 553 09447 89162 11 50 78 772 89020 10980 89 752 10 50 79 731 90 578 09422 89152 10 51 78 788 89046 10954 89 742 9 51 79746 90604 093% 89142 9 52 78 805 89073 10927 89 732 8 52 79 762 90630 09370 89132 8 53 78821 89099 10 901 89 722 7 53 79 778 90 656 09 344 89122 7 54 78 837. 89125 10 875 89 712 6 54 79 793 90 682 09 318 89112 6 55 78853 89151 10 849 89 702 5 55 79 809 90 708 09 292 89101 5 56 78 869 89177 10823 89 693 4 56 79825 90734 09266 89091 4 57 78886 89203 10 797 89683 3 57 79 840 90 759 09 241 89 081 3 5S 78 902 89 229 10 771 89673 2 58 79 856 90 785 09 215 89 071 2 5^ 78918 89 255 10 745 89663 1 59 79 872 90811 09189 89 060 1 60 78934 89 281 9 9 log ooa log oot 10 719 89653 lO 9 log tan log sin O eo 79887 908.37 09163 ^050 9 9 lO 9 log 001 log oot log tan . log ilu O f f r f 39° 40^ 47 •r n I i 52< 6r o 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 'f log sin 9 79 887 79903 79918 79934 79 950 79 %5 79981 799% 80012 80027 80043 80 058 80 074 80089 80105 80120 80136 80151 80166 80182 80197 80 213 80 228 80244 80 259 80 274 80 290 80305 80320 80336 80351 80 366 80382 80397 80412 80428 80 443 80 458 80473. 80489 80504 /80 519 80 534 80 550 80 565 80 580 80 595 80 610 80625 80641 80656 80671 80686 80 701 80 716 80 731 80 746 80 762 80 777 80 792 80807 9 log COS log tan 9 90837 90863 90889 90914 90940 90966 90992 91018 91043 91069 91095 91121 91147 91172 91198 91224 91250 91276 91301 91327 91353 91379 91404 91430 91456 91482 91507 91533 91559 91585 91610 91636 91662 91688 91713 91739 91765 91791 91816 91842 91868 91893 91919 91945 91971 91996 92 022 92 048 92073 92099 92125 92150 92176 92 202 92 227 92 253 92 279 92 304 92 330 92 356 92 381 9 log oot log oot lO 09163 09137 09111 09086 09060 09034 09 008 08982 08957 08931 08905 08 879 08 853 08 828 08 802 08 776 08 750 08 724 08 699 08673 08 647 08 621 08 5% 08 570 08 544 08 518 08 493 08467 08441 08415 08 390 08 364 08338 08312 08 287 08 261 08 235 08 209 08184 08158 08132 08107 08081 08055 08029 08004 07 978 07 952 07927 07901 07875 07850 07824 07 798 07 773 07 747 07 721 07 6% 07 670 07 644 07 619 lO log tan log 008 9 89 050 89040 89 030 89 020 89009 88999 88989 88978 88968 88958 88948 88937 88 927 88917 88906 888% 88 886 88 875 88 865 88855 88 844 88834 88 824 88 813 88 803 88 793 88 782 88 772 88 761 88 751 88 741 88 730 88 720 88 709 88699 88 688 88678 88 668 88 657 88 647 88 636 88 626 88615 88 605 88594 88 584 88 573 88 563 88 552 88 542 88531 88 521 88 510 88499 88489 88 478 88468 88457 88447 88 436 88 425 9 log 8in 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 80807 80822 80837 80 852 80867 80882 80897 80912 80927 80942 80957 80972 80987 81002 81017 81032 81047 81061 81076 81091 81106 81121 81136 81151 81166 81180 81195 81210 8122i 81240 81254 81269 81284 81299 81314 81328 81343 81358 81372 81387 81402 81417 81431 81446 81461 81475 81490 81 505 81519 81534 81549 81563 81578 81592 81607 81622 81636 81651 81665 81680 81694 9 log 008 log tan 9 92381 92 407 92433 92 458 92484 92 510 92 535 92 561 92 587 92612 92 638 92 663 92689 92 715 92 740 92 766 92 792 92 817 92 843 92 868 92 894 92 920 92 945 92 971 929% 93 022 93 048 93 073 93 099 93124 93150 93175 93 201 93 227 93 252 93 278 93 303 93 329 93 354 93 380 93 406 93 431 93 457 93 482 93 508 93 533 93 559 93 584 93 610 93636 93 661 93 687 93 712 93 738 93 763 93 789 93 814 93 840 93 865 93 891 93 916 9 . log oot log oot lO 07619 07 593 07 567 07 542 07 516 07490 07 465 07439 07413 07388 07 362 07337 07311 07285 07 260 07 234 07 208 07183 07157 07132 07106 07080 07 055 07 029 07004 069'78 06952 06927 06901 06876 06850 06825 06 799 06 773 06748 06 722 06697 06671 06646 06620 06594 06569 06543 06 518 06492 06467 06441 06416 06390 06364 06339 06313 06 288 06 262 06237 06211 06186 06160 06135 06109 06084 lO log tan logooi 9 88425 88415 88404 88394 88383 88372 88362 88351 88340 88330 88319 88308 88298 88287 88276 88266 88 255 88 244 88 234 88223 88 212 88 201 88191 88180 88169 88158 88148 88137 88126 88115 88105 88094 88083 88072 88061 88051 88040 88029 88018 88007 879% 87985 87975 87 964 87953 87942 87931 87920 87909 87898 87887 87 877 87 866 87 855 87 844 87 833 87 822 87 811- 87 800 87 789 87 778 9 *log 8in -■ 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29. 28 zr 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 •11 10 9 8 7 6 5 4 3 2 1 O 50' 4d< } V r 48 At 42' 43= lilM O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log tin 9 81694 81709 81723 81738 81752 81767 81781 817% 81810 81825 81839 81854 81868 81882 81897 81911 81926 81940 81955 81969 81983 81998 82 012 82026 82 041 82 055 82069 82 084 82098 82112 82126 82141 82155 82169 82184 82198 82 212 82 226 82 240 82 255 82 269 82 283 82 297 82311 82326 82 340 82354 82 368 82382 823% 82410 82424 82 439 82 453 82467 82481 82 495 82 509 82 523 82 537 82 551 9 log 001 log tan 9 93916 93942 93 %7 93 993 94018 94044 94069 94 095 94120 94146 94171 94197 94 222 94 248 94 273 94 299 94324 94 350 94 375 94 401 94426 94 452 94 477 94 503 94 528 94 554 94 579 94604 94 630 94655 94 681 94 706 94 732 94 757 94 783 94 808 94 834 94859 94 884 94910 94935 94 %1 94986 95 012 95 037 95 062 95 088 95113 95139 95164 95190 95 215 95 240 95 266 95 291 95 317 95 342 95 368 95 393 95 418 95 444 9 log oot logoot 10 06084 06058 06 033 06007 05 982 05 956 05 931 05 905 05 880 05 854 05 829 05 803 05 778 05 752 05 727 05 701 05 676 05 650 05 625 05 599 05 574 05 548 05 523 05 497 05 472 05 446 05 421 05 3% 05 370 05 345 05 319 05 294 05 268 05 243 05 217 05192 05166 05141 05116 05 090 05 065 05 039 05 014 -04988 04963 04 938 04912 04 887 04 861 04 836 04 810 04 785 04 760 04 734 04 709 04 683 04658 04 632 04 607 04 582 04 556 lO log too log 001 9 87 778 87 767 87 756 87 745 87 734 87 723 87 712 87 701 87 690 87 679 87 668 87 657 87 646 87 635 87 624 87613 87 601 87 590 87 579 87 568 87 557 87 546 87 535 87 524 87 513 87 501 87 490 87 479 87 468 87 457 87446 87 434 87423 87 412 87 401 87390 87 378 87 367 87 356 87 345 87 334 87 322 87 311 87 300 87 288 87 277 87 266 87 255 87 243 87 232 87 221 87 209 87198 87 187 87175 87164 87153 87141 87130 87119 87107 9 logiim 00 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 log sin 9 82 551 82 565 82 579 82 593 82 607 82 621 82 635 82 649 82 663 82 677 82 691 82 705 82 719 82 733 82 747 82 761 82 775 82 788 82 802 82 816 82 830 82 844 82 858 82 872 82 885 82 899 82 913 82 927 82 941 82955 82968 82 982 82 9% 83 010 83 023 83 037 83 051 83 065 83 078 83 092 83106 83120 83133 83147 83161 83174 83188 83 202 83 215 83 229 83 242 83 256 83 270 83 283 83 297 83 310 83 324 83 338 83 351 83 365 83 378 9 log 001 log tan 9 95 444 95 469 95 495 95 520 95 545 95 571 95 5% 95 622 95 647 95 672 95 698 95 723 95 748 95 774 95 799 95 825 95 850 95 875 95 901 95 926 95 952 95 977 %002 %028 %053 %078 %104 %129 %155 %180 %205 %231 %256 %281 %307 %332 %357 %383 %408 %433 %459 %484 %510 %535 %560 %586 %611 %636 %662 %687 %712 %738 %763 %788 %814 %839 %864 %890 %915 %940 %966 9 logoot log cot lO 04 556 04 531 04 505 04 480 04 455 04429 04 404 04 378 04 353 04328 04 302 04 277 04 252 04 226 04 201 04175 04150 04125 04 099 04074 04048 04 023 03 998 03 972 03 947 03 922 03 8% 03 871 03 845 03 820 03 795 03 769 03 744 03 719 03 693 03 668 03 643 03 617 03 592 03 567 03 541 03 516 03 490 03 465 03 440 03 414 03 389 03 364 03 338 03313 03 288 03 262 03 237 03 212 03186 03161 03136 03 110 03 085 03 060 03 034 lO log tan log 008 9 87107 87 0% 87 085 87 073 87 062 87 050 87 039 87 028 87 016 87 005 86993 86982 86970 86959 86947 86936 86924 86913 86902 86 890 86879 86867 86 855 86844 86832 86821 86809 86 798 86 786 86 775 86 763 86 752 86 740 86 728 86 717 86 705 86 694 86682 86 670 86659 86647 86635 86624 86612 86600 86 589 86 577 86 565 86554 86 542 86 530 86 518 86 507 86495 86483 86 472 86 460 86 448 86436 86425 86413 9 log sin 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 -14 13 12 11 10 9 8 7 6 5 4 3 2 1 O > J r log sin log tan log oot log 001 f 9 83 378 9 96966 lO 03 034 9 86413 O 60 1 83 392 96991 03 009 86 401 59 2 83 405 97 016 02 984 86389 58 3 83 419 97 042 02 958 86377 57 4 83 432 97 067 02933 86366 56 5 83 446 97 092 02 908 86354 55 6 83 459 97118 02 882 86342 54 7 83 473 97143 02 857 86330 53 8 83 486 97168 02 832 86318 52 9 83 500 97193 02 807 86306 51 lO 83 513 97 219 02 781 86 295 50 11 83 527. 97 244 02 756 86 283 49 12 83 540 97 269 02 731 86 271 48 13 83 554 97 295 02 705 86259 47 14 83 567 97 320 02 680 86 247 46 15 83 581 97345 02 655 86235 45 16 83 594 97 371 02 629 86 223 44 17 83 608 97 3% 02 604 86211 43 18 83 621 97 421 02 579 86 200 42 19 83 634 97 447 02 553 86188 41 20 83 648 97 472 02 528 86176 40 21 83 661 97 497 02 503 86164 39 22 83 674 97 523 02 477 86152 38 23 83 688 97 548 02 452 86140 37 24 83 701 97 573 02 427 86128 36 25 83 715 97 598 02 402 86116 35 26 83728 97 624 02 376 86104 34 27 83 741 97 649 02 351 86092 33 28 83 755 97 674 02 326 86080 32 29 83 768 97 700 02 300 86068 31 30 83 781 97 725 02 275 86056 30 31 83 795 97 750 02 250 86044 29 32 83 808 97 776 02 224 86032 28 33 83 821 97 801 02199 86020 27 34 83 834 97 826 02174 86008 26 35 83848 97 851 02 149 85 9% 25 36 83 861 97 877 02123 85 984 24 37 83 874 97 902 02 098 85 972 23 38 83 887 97 927 02 073 85 960 22 39 83 901 97953 02047 85 948 21 40 83 914 97 978 02022 85 936 20 41 83 927 98003 01997 85 924 19 42 83 940 98029 01971 85 912 18 43 83 954 98054 01946 85 900 17 44 83 %7 98079 01921 85 888 16 45 83 980 98104 018% 85 876 15 46 83 993 98130 01870 85 864 14 47 84006 98155 01845 85 851 13 48 84020 98180 01820 85 839 12 49 84033 98206 01794 85 827 11 50 84 046 98 231 01769 85 815 io 51 84 059 98 256 01744 85 803 9 52 84072 98 281 01719 85 791 8 53 84 085 98 307 01693 85 779 7 54 84 098 98 332 01668 85 766 6 55 84112 98 357 01643 85 754 5 56 84125 98 383 01617 85 742 4 57 84138 98408 01592 85 730 3 58 84151 98433 01567 85 718 2 59 84164 98458 01542 85 706 1 60 84177 98484 01516 85 693 O 9 logOOB 9 logoot lO log tan 9 log sin 1 f J 440 49 f log tin log tan log oot logoot f 9 84177 9 10 98484 01516 9 85 693 60 1 84190 98 509 01491 85 681 59 2 84 203 98 534 01466 85 669 58 3 84 216 98 560 01440 85 657 57 4 84 229 98 585 01415 85 645 56 5 84 242 98610 01390 85 632 55 6 84 255 98635 01365 85 620 54 7 84 269 98661 01339 85 608 53 8 84 282 98686 01314 85 5% 52 9 84 295 98 711 01289 85 583 51 10 84 308 98 737 01263 85 571 50 11 84321 98 762 01238 85 559 49 12 84334 98 787 01213 85 547 48 13 84347 98 812 01188 85 534 47 14 84360 98838 01162 85 522 46 15 84373 98863 01137 85 510 45 16 84 385 98 888 01112 85 497 44 17 84 398 98913 01087 85 485 43 18 84 411 98939 01061 85 473 42 19 84424 98964 01036 85 460 41 20 84437 98989 01011 85 448 40 21 84 450 99015 00985 85 436 39 22 84 463 99040 00960 85 423 38 23 84476 99065 00935 85 411 37 24 84489 99090 00910 85 399 36 25 84 502 99116 00884 85 386 35 26 84 515 99141 00859 85 374 34 27 84 528 99166 00834 85 361 33 28 84 540 99191 00809 85 349 32 29 84 553 99217 00 783 85 337 31 30 84 566 99 242 00 758 85 324 30 31 84 579 99 267 00 733 85 312 29 32 84 592 99293 00707 85 29^ 28 33 84605 99318 00682 85 287 27 34 84618 99343 00657 85 274 26 35 84 630 99368 00632 85 262 25 36 84643 99394 00606 85 250 24 37 84656 99419 00581 85 237 23 38 84669 99444 .00556 85 225 22 39 84682 99469 00531 .85 212 21 40 84 694 99495 00 505 85 200 20 41 84 707 99520 00480 85187 19 42 84 720 99 545 00455 85175 18 43 84 733 99 570 00430 85162 17 44 84 745 995% 00404 85150 16 45 84 758 99621 00379 85 137 15 46 84 771 99646 00354 85125 14 47 84 784 99672 -00328 85112 13 48 84 7% 99697 00303 85100 12 49 84809 99 722 00278 85067 11 50 84 822 99 747 00253 85 074 10 51 84 835 99773 00227 85 062 9 52 84847 99798 00202 85 049 8 53 84 860 99823 00177 85 037. 7' 54 84 873 99848 00152 85 024 6 55 84 885 99874 00126 85 012 5 56 84898 99899 00101 84 999 4 57 84 911 99924 00076 84 986 3 58 84923 99949 00051 84 974 2 59 84936 99975 00025 84 %1 1 60 84 949 8TO5B 00000 84949 9 10 10 9 f log COS log oot log tan logtln r 48' 47° 46' 45< -N II ii^MiCiittliSIlK^^^ ■■iiiiiiiiii3B3ill \y 50 TABLE IV. For Determining with Greater Accuracy than can be done by MEANS OF Table III.: 1. log sirif log taUf and log cot, when tlio angle is between 0** and 2*; 2. log cosj log tan, and log cot, when the angle is between 88° and 90° ; 3. The value of the angle when the logarithm of the function does not lie between the limits 8. 64 684 and 11. 46 316. FORMULAS FOR THE USE OF THE NUMBERS S AND T. I. When the angle a is between 0° and 2° : log o" = log sin a^ S, log sin a = log a" + S, log tan a = log a" + T. log cot a = colog tan a. = log tan a — 2\ = colog cot a— T. II. When the angle a is between 88° and 90° : log cos o = log (90® - a)" 4- S. log cot a = log (90° - a)" + T. log tan a = colog cot a. log (90° - a)" = log cos a - iS^, = log cot a — T, zs colog tan a — Tj aiido = 90O-(90O-o). • c Ct c Yaltjes of S and T. 2409 3417 3 823 4190 4840 5 414 5 932 6408 6633 6851 7 267 B 4.68 557 4.68 556 4.68 555 4.68 555 4.68 554 4. 68 553 4.68 552 4.68 551 4.68550 4.68 550 4. 68 549 8 log lin a 8.06 740 8. 21 920 8. 26 795 8.30 776 * 8.37038 8.41904 8.45 872 8.49 223 8. 50 721 S. 52 125 8.54 684 log tin « 200 1726 2 432 2976 3434 3 838 4204 4 540 4699 4 853 5146 4.68 557 4.68558 4.68 559 4.68 560 4.68 561 4.68 562 4.68563 4.68 564 4.68 565 4. 68 565 4.68 566 .#/ logtaaa 6.98 660 7.92 263 8.07156 8. 15 924 8. 22 142 8.26973 8.30930 8. 34 270 8. 35 766 8. 37 167 8.39 713 log tan a 5146 5 424 5689 5 941 6184 6417 6642 6 859 7070 7173 7 274 4. 68 567 4.68 568 4.68 569 4.68 570 4.68 571 4. 68 572 4.68573 4.68 574 4.68 575 4.68 575 log tan a 8.39 713 8.41999 8.44 072 8. 45 955 8.47 697 8.49305 8.50 802 8. 52 200 8. 53 516 8. 54 145 8.54 753 log tana J «lta TABLE v.— Circumferences and Areas of Circles, si If iV= the radius of the circle , the circumference = 2 rlf. , UN = the radius of the circle ), the area = iri\r«. If iV = the circumference of the circle, the radius = -— 2r N. If iV = the circumference of the circle, the area = -— 4ir iV". 1 K 2rW ' 'KN* aoo 0.0 6. 28 3. 1 12. 57 12. 6 18.85 28.3 25. 13 50. 3 2ir 0.000 0.159 0.318 0.477 0.637 0.00 0.08 0.32 0.72 1.27 N 2vy 314. 16 320. 44 326. 73 333.01 339.29 7 854 8171 8495 8 825 9161 2w 7.96 8.12 8.28 8.44 8.59 4» 198.94 206.98 215. 18 223.53 232.05 1 2 3 4 50 51 52 53 54 5 6 7 8 9 31.42 78.5 37. 70 113. 1 43.98 153.9 50. 27 2bl. 1 56.55 254.5 0.796 0.955 1.114 1.273 1.432 1.99 2.86 3.90 5.09 6.45 55 56 57 58 59 345.58 351.86 358. 14 364.42 370. 71 9 503 9852 10 207 10568 10936 8.75 8.91 9.07 9.23 9.39 240. 72 249.55 258. 55 267.70 277.01 10 11 12 13 14 62.83 314.2 69. 12 380. 1 75. 40 452. 4 81. 68 530. 9 87.96 615.8 1.592 1.751 1.910 2.069 2.228 7.96 9.63 11.46 13.45 15.60 60 61 62 63 64 376.99 383.27 389.56 395.84 402.12 11310 11690 12076 12 469 12 868 9.55 9.71 9.87 10.03 10.19 286.48 296.11 305. 90 315.84 325.95 15 16 17 18 19 94. 25 706. 9 100. 53 804. 2 106. 81 907. 9 113.10 1017.9 119.38 1134.1 2.387 2.546 2.706 2.865 3.024 17.90 20.37 23.00 25.78 28.73 65 66 67 68 69 408.41 414.69 420. 97 427. 26 433. 54 13 273 13 685 14103 14 527 14957 10.35 10. 50 10.66 10.82 10.98 336. 21 346.64 357. 22 367.97 378. 87 20 21 22 23 24 125. 66 1 256. 6 131.95 1385.4 138. 23 1 520. 5 144. 51 1 661. 9 150.80 1809.6 3.183 3. 342 3.501 3.661 3.820 31.83 35.09 38.52 42.10 45.84 70 71 72 73 74 439. 82 446. 11 452.39 458. 67 464.96 15 394 15 837 16 286 16 742 17 203 11.14 11.30 11.46 11.62 11.78 389.93 401. 15 412. 53 424.07 435. 77 25 26 27 28 29 157.08 1963.5 163. 36 2 123. 7 169. 65 2 290. 2 175.93 2463.0 182.21 2642.1 3.979 4. 138 4.297 4.456 4.615 49.74 53.79 58.01 62.39 66.92 75 76 77 78 79 471. 24 477.52 483.81 490.09 496.37 17671 18146 18627 19113 19607 11.94 12.10 12.25 12.41 12.57 447.62 459.64 471. 81 484.15 4%. 64 30 31 32 33 34 188.50 2 827.4 194.78 3 019.1 201. 06 3 217. 207.35 3 421.2 213.63 3 631.7 4.775 4.934 5.093 5.252 5.411 71.62 76.47 81.49 86.66 91.99 80 81 82 83 84 502.65 508.94 515. 22 521. 50 527. 79 20106 20612 21124 21642 22167 12.73 12.89 13.05 13.21 13.37 509.30 522. 11 535.08 548. 21 561'. 50 35 36 37 38 39 219.91 3 848.5 226.19 4071.5 232.48 4300.8 238.76 4 536.5 245.04 4 778.4 5.570 5.730 5.889 6.048 6.207 97.48 103. 13 108.94 114.91 121.04 85 86 87 88 89 534.07 540.35 546.64 552.92 559.20 22 698 23 235 23 779 24 328 24885 13.53 13.69 13.85 14.01 14.16 574. 95 588.55 602.32 616. 25 630.33 40 41 42 43 44 251.33 5 026.5 257. 61 5 281. 263. 89 5 541. 8 270.18 5 808.8 276.46 6082.1 6.366 6.525 6.685 6.844 7.003 127.32 133. 77 140.37 147. 14 154.06 90 91 92 93 94 565.49 571. 77 578. 05 584.34 590.62 25447 26016 26 590 27172 27 759 14.32 14.48 14.64 14.80 14.% 644.58 658.98 673. 54 688.27 703. 15 45 46 47 48 49 282.74 6361.7 289.03 6647.6 295.31 6939.8 301. 59 7 238. 2 307. 88 7 543. 7.162 7.321 7.480 7.639 7.799 161. 14 168.39 175. 79 183.35 191.07 95 96 97 98 99 5%. 90 603.19 609.47 615.75 622.04 28353 28953 29 559 30172 30 791 15.12 .15.28 15.44 15.60 15.76 718.19 733. 39 748. 74 764.26 779.94 50 314.16 7 854.0 2iriV vlf* 7.958 2ir 198.94 4r 100 628.32 31416 15.92 2x 795. 77 4X F N 4 f. 1 f 1 62 TABLE VL-I^ i<'UNCTIONS. ATUML / o° 1° 2° 3° 4° f sin cos sin cos sin cos sin cos sin cos ^1 0000 1.000 0175 9998 0349 9994 0523 9986 0698 9976 60 ^H 1 0003 1.000 0177 9998 0352 9994 0526 9986 0700 9975 59 ^1 2 0006 1.000 0180 9998 0355 9994 0529 9986 0703 9975 58 ^H 3 0009 1.000 0183 9998 0358 9994 0532 9986 0706 9975 57 II 4 0012 .1.000 0186 9998 0361 9993 0535 9986 0709 9975 56 II 5 0015 1.000 0189 9998 0364 9993 0538 9986 0712 9975 55 1 6 0017 1.000 0192 9998 0366 9993 0541 9985 0715 9974 54 1 7 0020 1.000 0195 9998 0369 9993 0544 9985 0718 9974 53 1 8 0023 1.000 0198 9998 0372 9993 0547 9985 0721 9974 52 1 9 0026 1.000 0201 9998 0375 9993 0550 9985 0724 9974 51 1 10 0029 1.000 0204 9998 0378 9993 0552 9985 0727 9974 50 1 11 0032 1.000 0207 9998 0381 9993 0555 9985 0729 9973 49 1 12 0035 1.000 0209 9998 0384 9993 0558 9984 0732 9973 48 1 13 0038 1.000 0212 9998 0387 9993 0561 9984 0735 9973 47 1 14 0041 1.000 0215 9998 0390 9992 0564 9984 0738 9973 46 1 15 0044 1.000 0218 9998 0393 9992 0567 9984 0741 9973 45 1 16 0047 1.000 0221 9998 03% 9992 0570 9984 0744 9972 44 1 17 0049 1.000 0224 9997 0398 9992 0573 9984 0747 9972 43 1 18 0052 1.000 0227^ 9997 0401 9992 0576 9983 0750 9972 42 1 19 0055 1.000 0230 9997 0404 9992 0579 9983 0753 9972 41 1 20 0058 1.000 0233 9997 0407 9992 0581 9983 0756 9971 40 1 21 0061 1.000 0236 9997 0410 9992 0584 9983 0758 9971 39 1 22 0064 1.000 0239 9997 0413 9991 0587 9983 0761 9971 38 ' 1 23 0067 1.000 0241 9997 0416 9991 0590 9983 0764 9971 37 I 1 24 0070 1.000 0244 9997 0419 9991 0593 9982 0767 9971 36 1 1 25 0073 1.000 0247 9997 0422 9991 05% 9982 0770 9970 35 H 1 26 0076 1.000 0250 9997 0425 9991 0599 9982 0773 9970 34 ij 1 27 .0079 1.000 0253 9997 0427 9991 0602 9982 0776 9970 33 n 1 28 0081 1.000 0256 9997 0430 9991 . 0605 9982 0779 9970 32 1 w 29 0084 1.000 0259 9997 0433 9991 0608 9982 0782 9%9 31 1 1 30 0087 1.000 0262 9997 0436 9990 • 0610 9981 0785 9%9 30 1 ; 31 0090 1.000 0265 99% 0439 9990 0613 9981 0787 9%9 29 32 0093 1.000 0268 9996 0442 9990 0616 9981 0790 9%9 28 » 33 0096 1.000 0270 99% 0445 9990 0619 9981 0793 9968 27 II 1 34 0099 1.000 0273 99% 0H8 9990 0622 9981 07% 9968 26 1 35 0102 9999 0276 99% 0451 9990 0625 9980 0799 9968 25 f 36 0105 9999 0279 99% 0454 9990 0628 9980 0802 9968 24 . r 37 0108 9999 0282 99% 0457 9990 0631 9980 0805 9968 23 ■ 38 0111 9999 0285 99% 0459 9989 0634 9980 0808 9%7 22 (1 ' r ' 39 0113 9999 0288 99% 0462 9989 0637 9980 0811 9%7 21 40 0116 9999 0291 99% 0465 9989 0640 9980 0814 9%7 20 41 0119 9999 0294 99% 0468 9989 0642 9979 0816 9%7 19 42 0122 9999 0297 99% 0471 9989 0645 9979 0819 9966 18 43 , 0125 9999 0300 99% 0474 9989 0648 9979 0822 9966 . 17 ''■ 44 0128 9999 0302 9995 0477 9989 0651 9979 0825 9966 16 [ !■ 45 0131 9999 0305 9995 0480 9988 0654 9979 0828 9966 15 ill 46 0134 9999 0308 9995 0483 9988 0657 9978 0831 9%5 14 III 47 0137 9999 0311 9995 0486 99B8 0660 9978 0834 9%5 13' iM 48 0140 9999 0314 9995 0488 9988 0663 9978 0837 9%5 12 ■| 49 0143 9999 0317 9995 0491 9988 0666 9978 0840 9%5 11 II 50 0145 9999 0320 9995 0494 9988 0669 9978 0843 9964 lO m 51 0148 9999 0323 95^5 0497 9988 0671 9977 0845 9964 9 1 ii 52 0151 9999 0326 9995 0500 9987 0674 9977 0848 9964 8 1 T 53 0154 9999 0329 9995 0503 9987 0677 9977 0851 9964 7 Ui 54 0157 9999 0332 9995 0506 9987 0680 9977 0854 9963 6 55 0160 9999 0334 9994 0509 9987 0683 9977 0857 9963 5 1 , 56 0163 9999 0337 9994 0512 9987 0686 9976 0860 9%3 4 57 0166 9999 0340 9994 0515 9987 0689 9976 0863 9963 3 . 58 0169 9999 0343 9994 0518 9987 0692 9976 0866 9%2 2 ik 59 0172 9999 0346 9994 0520 9986 0695 9976 0869 9%2 1 M 60 0175 9999 0349 9994 . 0523 9986 0698 9976 0872 9%2 O i cos sin 89° cos sin 88° cos sin 87° cos. sin 86° cos sin 85° f f K 1 wtmtumtmm NATURAL SINES AND COSINES. 58 i f 5° 6° 7° 8° 9° t ' * sin cos sin cos sin cos sin cos sin cos 0872 9%2 1045 9945 1219 9925 1392 9903 1564 9877 60 1 0874 9%2 1048 9945 1222 9925 1395 9902 1567 9876 59 ^ 2 0877 9%1 1051 9945 1224 9925 1397 9902 1570 9876 58 3 0880 9%i 1054 9944 1227 9924 1400 9901 1573 9876 57 « 4 0883 9%1 1057 9944 1230 9924 1403 9901 1576 9875 56 5 0886 9%1 1060 9944 1233 9924 1406 9901 1579 9875 55 . 6 0889 9960 1063 9943 1236 9923 1409 9900 1582 9874 54 7 0892 9960 1066 9943 1239 9923 1412 9900 1584 9874 53 8 0895 9960 1068 9943 1241 9923 1415 9899 1587 9873 52 . 9 0898 9960 1071 9942 1245 9922 1418 9899 1590 9873 51 lO 0901 9959 1074 9942 1248 9922 1421 9899 1593 9872 50 . 11 0903 9959 1077 9942 1250 9922 1423 9898 15% 9872 49 -', 1 12 0906 9959 1080 9942 1253 9921 1426 9898 1599 9871 v^ 13 0909 9959 1083 9941 1^56 9921 1429 9897 1602 9871 -' 14 0912 9S>58 1086 9941 1259 9920 1432 9897 1605 9870' 46 15 0915 9958 1089 9941 1262 9920 1435 9897 1607 9870 1? 16 0918 9958 1092 9940 1265 9920 1438 98% 1610 9869 44 * 17 0921 9958 1094 9940 1268 9919 1441 98% 1613 9669 43 1 18 0924 9957 1097 9940 1271 9919 1444 9895 1616 9869 42 19 0927 9957 1100 9939 1274 9919 1446 9895 1619 9868 41 20 0929 9957 1103 9939 1276 9918 1449 9894 1622 9868 40 21 0932 9956 1106 9939 1279 9918 1452 9894 1625 9867 39 . 22 0935 9956 1109 9938 1282 9917 1455 9894 1628 9867 38 ; , 23 0938 9956 1112 9938 1285 9917 1458 9893 1630 9866 37 » . 24 0941 9956 1115 9938 1288 9917 1461 9893 1633 9866 36 J, ^ 25 0944 9955 1118 9937 1291 9916 1464 9892 1636 9865 35 26 0947 9955 1120 9937 1294 9916 1467 9892 1639 9865 34 '\'^ 27 0950 9955 1123 9937 1297 9916 1469 9891 1642 9864 33 28 0953 9955 1126 9936 1299 9915 1472 9891 1645 9864 32 • 29 0956 9954 1129 9936 1302 9915 1475 9891 1648 9863 31 30 0958 9954 1132 9936 1305 9914 1478 9890 1650 9863 30 31 0%1 9954 1135 9935 1308 9914 1481 9890 1653 9862 29 32 0964 9953 1138 9935 1311 9914 1484 9889 1655 9862 28 33 0%7 9953 1141 9935 1314 9913 1487 9889 1659 9861 27 34' 0970 9953 1144 9934 1317 9913 1490 9888 1662 9661 26 35 0973 9953 1146 9934 1320 9913 1492 9888 1665 9860 25 36 0976 9952 1149 9934 1323 9912 1495 9888 1668 9860 24 « 37 0979 9952 1152 9933 1325 9912 1498 9887 1671 9859 23 • ** • 38 0982 9952 1155 9933 1328 9911 1501 9887 1673 9859 22 \' 39 0985 9951 1158 9933 1331 9911 1504 9886 1676 9859 21 ( 40 0987 9951 1161 9932 1334 9911 1507 9886 1679 9858 20 1 41 0990 9951 1164 9932 1337 9910 1510 9885 1682 9858 19 -' 42 0993 9951 1167 9932 1340 9910 1513 9885 1685 9857 18 f'- 43 09% 9950- 1170 9931 1343 9909 1515 9884 1688 9857 17 44 0999 9950 1172 9931 1346 9909 1518 9884 1691 9856 16 45 1002 9950 1175 9931 1349 9909 1521 9884 1693 9856 ^? 46 1005 9949 1178 9930 1351 9908 1524 9883 16% 9855 14 47 1008 9949 1181 9930 1354 9908 1527 9883 1699 9855 13 48 1011 9949 .1184 9930 1357 9907 1530 9882 1702 9854 12 49 1013 9949 1187 9929 1360 9907 1533 9882 1705 9854 11 50 1016 9948 1190 9929 1363 9907 1536 9881 1708 9853 lO 51 1019 9948 1193 9929 1366 9906 1538 9881 1711 9853 9 52 1022 9948 11% 9928 1369 9906 1541 9880 1714 9852 8 53 1025 9947 1198 9928 1372 9905 1544 9880 1716 9852 7 54 1028 9947 1201 9928 1374^ 9905 1547 9880 1719 9851 6 55 1031 9947 1204 9927 1377 9905 1550 9879 1722 9851 5 56 1034 9946 1207 9927 1380 9904 1553 9879 1725 9850 4 57 1037 9946 1210 9927 1383 9904 1556 9878 1728 9850 3 58 1039 9946 1213 9926 1386 9903 1559 9878 1731 9849 2 59 1042 9946 1216 9926 1389 9903 1561 9877 1734 9849 1 '• 60 1045 9945 1219 9925 1392 9903 1564 9877 1736 9848 O cos sin 84° cos sin 83° cos sin 82° cos sin 81° cos sin 80° \ p- f •• * • \ u 54 NATURAL SINES AND COSINES. / 10° 11° 12° 13° 14° f sin cos sin cos sin cos sin cos sin cos a 1736 9848 1908 9816 2079 9781 2250 9744 2419 9703 60 1 1739 9848 1911 9816 2082 9781 2252 9743 2422 9702 59 2 1742 9847 1914 9815 2085 9780 2255 9742 2425 9702 58 3 1745 9847 1917 9815 2088 9780 2258 9742 2428 9701 57 4 1748 9846 1920 9814 2090 9779 2261 9741 2431 9700 56 5 1751 9846 1922 9813 2093 9778 2264 9740 2433 %99 55 6 1754 9845 1925 9813 2096 9778 2267 9740 2436 %99 54 7 1757 98-f5 1928 9812 209*; 9777 2269 9739 2439 9698 53 8 1759 9844 1931 9812 2102 9777 2272 9738 2442 %97 52 9 1762 9843 1934 9811 2105 9776 2275 9738 2445 %97 51 lO 1765 9843 1937 9811 2108 9775 2278 9737 2447 %% 60 11 1768 9842 1939 9810 2110 9775 2281 9736 2450 %95 49 12 1771 9842 1942 9810 2113 9774 2284 9736 2453 %94 48 13 1774 9841 1945 9809 2116 9774 2286 9735 2456 %94 47 14 1777 9841 1948 9808 2119 9773 2289 9734 2459 %93 46 16 1779 9840 1951 9808 2122 9772 2292 9734 2462 %92 46 16 1782 9840 1954 9807 2125 9772 2295 9733 2464 %92 44 17 1785 9839 1957 9807 2127 9771 2298 9732 2467 %91 43 18 1788 9839 1959 9806 2130 9770 2300 9732 2470 9690 42 19 1791 9838 1%2 9806 2133 9770 2303 9731 2473 9689 41 20 1794 9838 1%S 9805 2136 9769 2306 9730 2476 9689 40 21 1797 9837 1968 9804 2139 9769 2309 9730 2478 9688 39 22 1799 9837 1971 9804 2142 9768 2312 9729 2481 9687 38 23 1802 9836 1974 9803 2145 9767 2315 9728 2484 9687 37 24 1805 9836 1977 9803 2147 9767 2317 9728 2487 9686 36 26 1808 9835 1979 9802 2150 9766 2320 9727 2490 9685 35 26 1811 9835 1982 9802 2153 9765 2323 9726 2493 9684 34 27 1814 9834 1985 9801 2156 9765 2326 9726 2495 9684 33 28 1817 9834 1988 9800 2159 9764 2329 9725 249^ 9683 32 29 1819 9833 1991 9800 2162 9764 2332 9724 2501 9682 31 30 1822 9833 1994 9799 2164 9763 2334 9724 2504 9681 30 31 1825 9832 1997 9799 2167 9762 2337 9723 2507 9681 29 32 1828 9831 1999 9798 2170 9762 2340 9722 2509 9680 , 28 33 1831 9831 2002 9798 2173 9761 2343 9722 2512 %79 27 34 1834 9830 2005 9797 2176 9760 2346 9721 2515 9679 26 35 1837 9830 2008 9796 2179 9760 2349 9720 2518 %78 25 36 1840 9829 2011 97% 2181 9759 2351 9720 2521 %77 24 37 1842 9829 2014 9795 2184 9759 • 2354 9719 2524 9676 23 38 1845 9828 2016 9795 2187 9758 2357 9718 2526 9676 22 39 1848 9828 2019 9794 2190 9757 2360 9718 2529 9675 21 40 1851 9827 2022 9793 2193 9757 2363 9717 2532 %74 20 41 1854 9827 2025 9793 2196 9756 2366 9716 2535 9673 19 42 1857 9826 2028 9792 2198 9755 2368 9715 2538 %73 18 43 1860 9826 2031 9792 2201 9755 2371 9715 2540 9672 17 44 1862 9825 2034 9791 2204 9754 2374 9714 2543 9671 16 46 1865 9825 2036 9790 2207 9753 2377 9713 2546 %70 16 46 1868 9824 2039 9790 2210 9753 2380 9713 2549 9670 14 47 1871 9823 2042 9789 2213 9752 2383 9712 2552 9669 13 48 1874 9823 2045 9789 2215 9751 2385 9711 2554 9668 12 49 1877 9822 2048 9788 2218 9751 2388 9711 2557 9667 11 60 1880 9822 2051 9787 2221 9750 2391 9710 2560 9667 lO 51 1882 9821 2054 9787 2224 9750 2394 9709 2563 9666 9 52 1885 9821 2056 9786 2227 9749 2397 9709 2566 9665 8 53 1888 9820 2059 9786 2230 9748 2399 9708 2569 9665 7 54 1891 9820 2062 9785 2233 9748 2402 9707 2571 9664 6 66 1894 9819 2065 9784 2235 9747 2405 9706 2574 9663 6 56 1897 9818 2068 9784 2238 9746 2408 9706 2577 9662 4 57 1900 9818 2071 9783 2241 9746 2411 9705 2580 9662 3 S8 1902 9817 2073 9783. 2244 9745 2414 9704 2583 9661 2 59 1905 9817 2076 9782 2247 9744 2416 9704 2585 9660 1 60 1908 9816 2079 9781 2250 9744 2419 9703 2588 96^9 O cos sin 79° cos sin 78° cos sin 77° cos sin 76° cos sin' . 76° f f 4^ NATURAL SINES AND COSINKS. 55 f sin cos ^16° sin cos 17° 18° 19° t sin cos sin cos sin cos 2588 %59 2756 9613 2924 9563 .3090 9511 3256 9455 60 1 2591 %5? 2759 %12 2926 9562 3093 9510 3258 9454 59 2 2594 9618 2762 9611 2929 9561' 30% 9509 3261 9453 58 3 2597 9657 2165 9610 2932 9560 3098 9508 3264 ,9452 57 4 2599 .9656 2768 9609 2935 9560 3101 9507 3267 9451 56 6 2602 9655 2770 9609 2938 9559 3104 9506 3269 9450 65 6 2605 %5S 2773 9608 2940 9558 3107 9505 3272 9449 54 7 2608 9654 2776 9607 2943 9557 3110 9504 3275 9449 53 8 2611 9653 ■ 2779 9606 2946 9556 3112 9503 3278 9448 52 9 2613. %52 2782 9605 2949 9555 3115 9502 3280 9447 51 10 2616 %52 2784 9605 2952 9555 3118 9502 3283 9446 60 11 2619 %51 2787 9604 2954 9554 3121 9501 3286 9445 49 12 2622 %50 2790 9603 2957 9553 3123 9500 3289 9444 48 13 2625 9649 2793 9602 2960 '9552 3126 9499 3291 9443 47 14 2628 9649 2795 9601 2963 9551 3129 9498 3294 9442 46 15 2630 9648 2798 9600 2%5 9550 3132 9497 3297 9441 46 16 2633 9647 2801 9600 2968 9549 3134 94% 3300 9440 44 17 2636 9646 2804 9599 2971 9548 3137 9495 3302 9439 43 18 2639 9646 2807 9598 2974 9548 3140 9494 3305 9438 42 19 2642 9645 2809 9597 2977 9547 3143 9493 3308 9437 41 20 2644 9644 2812 9596 2979 9546 3145 9492 3311 9436 40 21 2647 9643 2815 95% 2982 9545 3148 9492 3313 9435 52' 22 2650 9642 2818 9595 2985 9544 3151 9491 3316 9434 38 23 2653 9642 2821 9594 2988 9543 3154 9490 3319 9433 51 i 24 2656 9641 2823 9593 2990 9542 3156 9489 3322 9432 36 ^ 26 2658 9640 2826 9592 2993 9542 3159 9488 3324 9431 36 26 2661 9639 2829 9591. 29% 9541 3162 9487 3327 9430 34 . 27 2664 9639 2832 9591 2999 9540 3165 9486 3330 9429 33 » 28 2667 9638 2835 9590 3002 9539 3168 9485 3333 9428 32 29 2670 9637 2837 9589 3004 9538 3170 9484 3335 9427 31 30 2672 9636 2840 9588 3007 9537 3173 9483 3338 9426 30 r 31 2675 9636 2843 9587 3010 9536 3176.9482 3341 9425 29 . 32 2678 9635 2846 9587 3013 9535 3179 9481 3344 9424 28 • 33 2681 9634 2849 9586 3015 9535 3181 9480 3346 9423 • 27 34 2684 9633 2851 9585 3018 9534 3184 9480 3349 9423 26 35 2686 9632 2854 9584 3021 9533 3187 9479 3352 9422 26 36 2689 9632 2857 9583 3024 9532 3190 9478 3355 -9421 24 37 2692 9631 2860 9582 3026 9531 3192 9477 3357 9420 23 38 2695 9630 2862 9582 3029 9530 3195 9476 3360 9419 22 39 2698 9629 2865 9581 3032 9529 3198 9475 3363 9418 21 40 2700 9628 2868 9580 . 3035 9528 3201 9474 3365 9417 20 41 2703 9628 2871 9579 3038 0527 3203 9473 3368 9416 19 42 2706 %27 2874 9578 3040 9527 3206 9472 3371 9415 18 43 2709 %26 2876 9577 3043 9526 3209 9471 3374 9414 17 44 2712 9625 2879 9577 3046 9525 3212 9470 3376 9413 16 46 2714 9625 2882 9576 3049 9524 3214 .9469 3379 9412 16 46 2717 9624 2885 9575 3051 9523 3217 9468 3382 .9411 14 47 2720 %23 2888 9574 3054 9522 3220 9467 3385 ,9410 13 48 2723 9622 2890 9573 3057 9521 3223 9466 3387 9409 12 49 2726 %21 2893 9572 3060 9520 3225 9466 3390 9408 11 60 2728 %21 28% 9572 3062.9520 3228 9465 3393 9407 lO 51 2731 9620 2899 9571 3065 9519 3231 9464 33% 9406 9 52 2734 %19 2901 9570 3068 9518 3234 9463 3398 9405 8 53 2737 9618 2904 9569 3071 9517 3236 9462 3401 9KH 7 54 2740 %17 2907 9568 3074 9516 3239 9461 3404 9403 6 66 2742 9617 2910 9567 3076 9515 3242 9460 3407 9402 6 56 2745 9616 2913 9566 ' 3079 9514 3245 9459 3409 9401 4 57 2748 9615 2915 9566 3082 9513 3247 9458 3412 9400 3 58 2751 %14 2918 9565 3085 9512 3250 9457 3415 9399 2 59 2754 9613 2921 9564 3087 9511 .3253 9456 3417 9398 1 60 2756 %13 2924 9563 3090 9511 3256 9455 3420 9397 O cos sin 74° cos sin 73° cos sin 72° cos sin 71° cos sin 70° f f I 1 i_l 56 NATURAL SINES AND COSINES. NATURAL SINES AND COSINES. /^ 67 / 20° sin cos 21° 22° sin COS 23° sin cos 24° sin cos f sin cos o 3420 9397 3584 9336 3746 9272 3907 9205 4067 9135 60 1 3423 93% 3586 9335 3749 9271 3910 9204 4070 9134 59 2 3426 9395 3589 9334 3751 9270 3913 9203 4073 9133 58 3 3428 9394 3592 9333 3754 9269 3915 9202 4075 9132 57 4 3431 9393 3595 9332 3757 9267 3918 9200 4078 9131 56 5 3434 9392 3597 9331 3760 9266 3921 9199 4081 9130 55 6 3437 9391 3600 9330 3762 9265 3923 9198 4083 9128 54 7 3439 9390 3603 9328 3765 9264 3926 9197 4086 9127 S3 8 3442 9389 3605 9327 3768 9263 3929 91% 4089 9126 52 9 3445 9388 3608 9326 3770 9262 3931 9195 4091 9125 51 10 3448 9387 3611 9325 3773 9261 3934 9194 4094 9124 50 11 3450 9386 3614 9324 3776 9260 3937 9192 4097 9122 49 12 3453 9385 3616 9323 3778 9259 3939 9191 4099 9121 48 13 3456 9384 3619 9322 3781 9258 3942 9190 4102 9120 47 14 3458 9383 3622 9321 3784 9257 3945 9189 4105 9119 46 15 3461 9382 3624 9320 3786 9255 3947 9188 4107 9118 45 16 3464 9381 3627 9319 3789 9254 3950 9187 4110 9116 44 17 3467 9380 3630 9318 3792 9253 3953 9186 4112 9115 43 18 3469 9379 3633 9317 3795 9252 3955 9184 4115 9114 42 19 3472 9378 3635 9316 3797 9251 3958 9183 4118 9113 41 20 3475 9377 3638 9315 3800 9250 3%1 9182 4120 9112 40 21 3478 9376 3641 9314 3803 9249 3963 9181 4123 9110 39 22 3480 9375 3643 9313 3805 9248 3966 9180 4126 9109 38 23 3483 9374 3646 9312 3808 9247 3%9 9179 4128 9108 37 24 3486 9373 3649 9311 3811 9245 3971 9178 4131 9107 36 25 3488 9372 3651 9309 3813 9244 3974 9176 4134 9106 35 26 3491 9371 3654 9308 3816 9243 . 3977 9175 4136 9104 34 27 3494 9370 3657 9307 3819 9242 3979 9174 4139 9103 33 28 3497 9369 3660 9306 3821 9241 3982 9173 4142 9102 32 29 3499 9368 3662 9305 3824 9240 3985 9172 4144 9101 31 30 3502 9367 3665 9304 3827 9239 3987 9171 4147 9100 30 31 3505 9366 3668 9303 3830 9238 3990 9169 4150 9098 29 32 3508 9365 3670 9302 3832 9237 3993 9168 4152 9097 28 33 3510 9364 3673 9301 3835 9235 3995 9167 4155 90% 27 34 3513 9363 3676 9300 3838 9234 3998 9166 4158 9095 26 35 3516 9362 3679 9299 3840 9233 4001 9165 4160 9094 25 36 3518 9361 3681 9298 3843 9232 4003 9164 .4163 9092 24 37 3521 9360 3684 9297 3846 9231 4006 9162 <165 9091 23 38 3524 9359 3687 9296 3848 923Q 4009 9161 4168 9090 22 39 3527 9358 3689 9295 3851 9229 4011 9160 4171 9088 21 40 3529 9356 3692 9293 3854 9228 4014 9159 4173 9088 20 41 3532 9355 3695 9292 3856 9227 4017 9158 4176 9086 19 42 3535 9354 3697 9291 3859 9225 4019 9157 4179 9085 IS 43 3537 9353 3700 9290 3862 9224 4022 9155 4181 9084 17 44 3540 9352 3703 9289 3864 9223 4025 9154 4184 9083 16 45 3543 9351 3706 9288 3867 9222 4027 9153 4187 9081 15 46 3546 9350 3708 9287 3870 9221 4030 9152 4189 9080 14 47 3548 9349 3711 9286 3872 9220 4033 9151 4192 9079 13 48 3551 9348 3714 9285 3875 9219 4035 9150 4195 9078 12 49 3554 9347 3716 9284 3878 9218 4038 9148 4197 9077 11 50 3557 9346 3719 9283 3881 9216 4041 9147 4200 9075 lO 51 3559 9345 3722 9282 3883 9215 4043 9146 4202 9074 9 52 3562 9344 3724 9281 3886 9214 4046 9145 4205 9073 8 S3 3565 9343 3727 9279 3889 9213 4049 9144 4208 9072 7 54 3567 9342 3730 9278 3891 9212 4051 9143 4210 9070 6 55 3570 9341 3733 9277 3894 9211 4054 9141 4213 9069 5 56 3573 9340 3735 9276 3897 9210 4057 9140 4216 9068 4 57 3576 9339 3738 9275 3899 9208 4059 9139 4218 9067 3 58 3578 9338 3741 9274 3902 9207 4062 9138 4221 9066 2 59 3581 9337 3743 9273 3905 9206 4065 9137 4224 9064 1 60 3584 9336 3746 9272 3907 9205 4067 9135 4226 9063 O cos sin 69° COB sin 68° cos sin 67° cos sin 66° cos sin 65° .. 1 ' 'J 25« 26^ 27^ 28^ 29° O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 sin cos 4226 9063 4229 9062 4231 9061 4234 9059 4237 9058 4239 9057 4242 9056 4245 9054 4247 9053 4250 9052 4253 9051 4255 9050 4258 9048 4260 9047 4263 9046 4266 9045 4268 9043 4271 9042 4274 9041 4276 9040 4279 9038 4281 9037 4284 9036 4287 9035 4289 9033 4292 9032 4295 9031 4297 9030 4300 9028 4302 9027 4305 9026 4308 9025 4310 9023 4313 9022 4316 9021 4318 9020 4321 9018 4323 9017 4326 9016 4329 9015 4331 9013 4334 9012 4337 9011 4339 9010 4342 9008 4344 4347 4350 4352 4355 4358 4360 4363 4365 4368 4371 4373 4376 4378 4381 4384 cos 9007 9006 9004 9003 9002 9001 8999 8998 8997 89% 8994 8993 8992 8990 8989 8988 sin sin cos 4384 8988 4386 8987 4389 8985 4392 8984 4394 8983 4397 4399 4402 4405 4407 4410 4412 4415 4418 4420 4423 4425 4428 4431 4433 4436 4439 4441 4444 4446 4449 4452 4454 4457 4459 4462 4465 4467 447P 4472 4475 4478 4480 4483 4485 4488 4491 4493 44% 4498 4501 4504 4506 4509 4511 4514 4517 4519 4522 4524 4527 4530 4532 4535 4537 4540 cos 8982 8980 8979 8978 8976 8975 8974 8973 8971 8970 8%9 8%7 8966 8%5 8964 8962 8%1 8960 8958 8957 8956 8955 8953 8952 8951 8949 8948 8947 8945 8944 8943 8942 8940 8939 8938 8936 8935 8934 8932 8931 8930 8928 8927 8926 8925 8923 8922 8921 8919 8918 8917 8915 8914 8913 8911 8910 sin sin cos 4540 8910 4542 8909 4545 8907 4548 8906 4550 8905 4553 8903 4555 8902 4558 8901 4561 8899 4563 8898 4566 8897 4568 8895 4571 8894 4574 8893 4576 8892 4579 8890 4581 8889 4584 8888 4586 8886 4589 8885 4592 8884 4594 8882 4597 8881 4599 8879 4602 8878 4605 8877 4607 8875 4610 8874 4612 8873 4615 8871 4617 8870 4620 8869 4623 8867 4625 8866 4628 8865 4630 8863 4633 8862 4636 8861 4638 8859 4641 $858 4643 8857 4646 8855 4648 8854 4651 8853 4654 8851 4656 4659 4661 4664 4666 4669 4672 4674 4677 4679 4682 4684 4687 4690 4692 4695 8829 cos sin 8850 8849 8847 8846 8844 8843 8842 8840 8839 8838 8836 8835 8834 8832 8831 sin cos 4695 8829 4697 8828 4700 8827 4702 8825 4705 8824 4708 8823 4710 8821 4713 8820 4715 8819 4718 8817 4720 8816 4723 8814 4726 8813 4728 8812 4731 8810 4733 8809 4736 8808 4738 8806 4741 8805 4743 8803 4746 8802 4749 8801 4751 8799 4754 8798 4756 87% 4759 8795 4761 8794 4764 8792 4766 8791 4769 8790 4772 4774 4777 4779 4782 4784 4787 4789 4792 4795 4797 4800 4802 4805 4807 4810 4812 4815 4818 4820 4823 4825 4828 4830 4833 4835 4838 4840 4843 4846 4848 cos 8788 8787 8785 8784 8783 8781 8780 8778 8777 8776 8774 8773 8771 8770 8769 8767 8766 8764 8763 8762 8760 8759 8757 8756 8755 8753 8752 8750 8749 8748 8746 sin 64' 63' 62° ev sin cos 4848 8746 4851 8745 4853 8743 4856 8742 4858 8741 4861 8739 4863 8738 4866 8736 4868 8735 4871 8733 4874 8732 4876 8731 4879 8729 4881 8728 4884 8726 4886 8725 4889 8724 , 4891 8722 4894 8721 48% 8719 4899 8718 4901 8716 4904-8715 4907 8714 4909 8712 4912 8711 4914 8709 4917 8708 4919 870^ 4922 8705 4924 8704 4927 8702 4929 8701 4932 8699 4934 8698 4937 86% y^ 8695 4942 8694 49H 8692 4947 8691 4950 8689 4952 8688 4955 8686 4957 8685 4960 8683 4%2 8682 4%S 8681 4%7 8679 4970 8678 4972 8676 4975 8675 4977 8673 4980 8672 4982 8670 4985 8669 4987 8668 4990 8666 4992 8665 4995 8663 4997 8662 ^QOO 8660 \e<>s sin ' 60° 60 59 58 57 56 55 54 S3 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 IS 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 I L>i_ 58 NATURAL SINES AND COSINES. 30° 31° 32^ 33*^ 34° O 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 sin cos 5000 8660 5003 8659 5005 8657 5008 8656 5010 8654 5013 8653 5015 8652 5018 8650 5020 8649 5023 8647 5025 8646 5028 8644 5030 8643 5033 8641 5035 8640 5038 8638 5040 8637 5043 8635 5045 8634 5048 8632 ^ 5050 8631 5053 8630 5055 8628 5058 8627 5060 8625 5063 8624 5065 8622 5068 8621 5070 8619 5073 8618 5075 8616 5078 8615 5080 8613 5083 8612 5085 8610 5088 8609 5090 8607 5093 8606 5095 8604 5098 8603 5100 8601 5103 8600 5105 8599 5108 8597 5110 8596 5113 8594 5115 8593 5118 8591 5120 8590 5123 8588 5125 5128 5130 5133 5135 5138 5140 5143 5145 5148 5150 COB 8587 8585 8584 8582 8581 8579 8578 8576 8575 8573 8572 sin sin cos 5150 8572 5153 8570 5155 8569 5158 8567 5160 8566 5163 8564 5165 8563 5168 8561 5170 8560 5173 8558 5175 8557 5178 8555 5180 8554 5183 8552 5185 8551 5188 8549 5190 8548 5193 8546 5195 8545 5198 8543 5200 8542 5203 8540 5205 8539 5208 8537 5210 8536 5213 8534 5215 8532 5218 8531 5220 8529 5223 8528 5225 8526 5227 8525 5230 8523 5232 8522 5235 8520 5237 8519 5240 8517 5242 8516 5245 8514 5247 8513 5250 8511 5252 8510 5255 8508 5257 8507 5260 8505 69° 5262 5265 5267 5270 5272 5275 5277 5279 5282 5284 5287 5289 5292 5294 5297 5299 cos 58° sin cos 5299 8480 5302 8479 5304 8477 5307 8476 5309 8474 5312 8473 5314 8471 5316 8470 5319 8468 5321 8467 5324 8465 5326 8463 5329 8462 5331 8460 5334 8459 5336 8457 5339 8456 5341 8454 5344 8453 5346 8451 5348 8450 5351 8448 5353 8446 5356 8445 5358 8443 5361 8442 5363 8440 5366 8439 5368 8437 5371 8435 5373 8434 5375 8432 5378 8431 5380 8429 5383 8428 5385 8426 5388 8425 5390 8423 5393 8421 5395 8420 5398 8418 5400 8417 5402 8415 5405 8414 5407 8412 8504 8502 8500* 8499 8497 84% 8494 8493 8491 8490 8488 8487 8485 8484 8482 8480 sin 5410 5412 5415 5417 5420 5422 5424 5427 5429 5432 5434 5437 5439 5442 5444 5446 cos 8410 8409 8407 8406 8404 8403 8401 8399 8398 8396 8395 8393 8391 8390 8388 8387 sin 5T sin cos 5446 8387 5449 8385 5451 8384 5454 8382 5456 8380 5459 8379 5461 8377 5463 8376 5466 8374 5468 8372 5471 8371 5616 5473 8369 5618 5476 8368 5621 5478 8366 5623 5480 8364 5626 5483 8363 5485 8361 5488 8360 5490 8358 5493 8356 5495 8355 5498 8353 5500 8352 5502 8350 5505 8348 5507 8347 5510 8345 5512 8344 5515 8342 5517 8340 5519 5522 5524 5527 5529 5531 5534 5536 5539 5541 8339 8337 8336 8334 8332 8331 8329 8328 8326 8324 5544 8323 5546 8321 5548 8320 5551 8318 5553 8316 5556 5558 5561 5563 5565 5568 5570 5573 5575 5577 5580 5582 5585 5587 5590 5592 cos 8315 8313 8311 8310 8308 8307 8305 8303 8302 8300 8299 8297 8295 8294 8292 8290 sin 56^ sin cos 5592 8290 5594 8289 5597 8287 5599 8285 5602 8284 5604 8282 5606 8281 5609 8279 5611 8?77 5614 8276 8274 8272 8271 8269 826a^ 82^ 8264 8263 8261 8259 8258 8256 8254 8253 8251 5628 5630 5633 5635 5638 5640 5642 5645 5647 5650 5652 8249 5654 8248 5657 8246 5659 8245 5662 8243 5664 8241 5666 8240 5669 8238 5671 8236 5674 5676 8233 5678 8231 5681 8230 5683 8228 5686 8226 5688 8225 5690 8223 5693 8221 5695 8220 5698 8218 5700 8216 5702 8215 5705 8213 5707 8211 5710 8210 5712 8208 5714 8207 5717 8205 5719 8203 5721 8202 5724 8200 5726 8198 5729 8197 5731 8195 5733 8193 5736 8192 cos sin 55° 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 36 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 16 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O NATURAL SINES AND COSINES. O 1 2 3 4 5 6 7 8 .9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 26 26 27 28 29 30 31 32 33 34. 36 36 37 38 39 40 41 42 43 44 46 46 47 48 49 1? 52 53 54 66 56 57 58 59 60 59 35° 36^^ 37* 38^ 39° sin cos 5736 8192 5738 8190 5741 8188 5743 8187 5745 8185 5748 8183 5750 8181 5752 8180 5755 8178 5757 8176 5760 8175 5762 8173 5764 8171 5767 8170 5769 8168 5771 8166 5774 8165 5776 8163 5779 8161 5781 8160 5783 8158 5786 8156 5788 8155 5790 8153 5793 8151 5795 8150 5798 8148 5800 8146 5802 8145 5805 8143 5807 5809 5812 5814 5816 5819 5821 5824 5826 5828 5831 5833 5835 5838 5840 5842 5845 5847 5850 5852 5854 5857 5859 5861 5864 5866 5868 5871 5873 5875 5878 cos 8141 8139 8138 8136 8134 8133 8131 8129 8128 8126 8124 8123 8121 8119 8117 8116 8114 8112 8111 8109 8107 8106 8104 8102 8100 8099 8097 8095 8094 8092 8090 sin 54^ sin cos 5878 8090 5880 8088 5883 8087 5885 8085 5887 8083 5890 8082 5892 8080 5894 8078 5897 8076 5899 8075 5901 8073 5904 8071 5906 8070 5908 8068 5911 8066 5913 8064 5915 8063 5918 8061 5920 8059 5922 8058 5925 8056 5927 8054 5930 8052 5932 8051 5934 8049 5937 8047 5939 8045 5941 8044 5944 8042 5946 8040 5948 8039 5951' 8D37 5953 8035 5955 8033 5958 8032 5960 8039 5%2 8028 5965 8026 5%7 8025 5%9 8023 5972 8021 5974 8020 5976 8018 5979 8016 5981 8014 5983 5986 5988 5990 5993 5995 5997 60^ 6004 6007 6009 6011 6014 6016 6018 cos 8013 8011 8009 8007 8006 8004 8002 8000 7999 7997 7995 7993 7992 7990 7988 7986. sin 63^ sin 6018 6020 6023 6025 6027 6030 6032 6034 6037 6039 6041 60H 6046 6048 6051 6053 6055 6058 6060 6062 6065 6067 6069 6071 6074 6076 6078 6081 6083 6085 6088 6090 6092 6095 6097 6099 6101 6104 6106 6108 6111 6113 6115 6118 6120 6122 6124 6127 6129 6131 6134 6136 6138 6141 6143 6145 6147 6150 6152 6154 'i^ Si cos 7986 7985 7983 7981 7979 7978 7976 7974 7972 7971 7%9 7%7 7%5 7964 7962 7960 7958 7956 7955 7953 7951 7950 7948 7946 7944 7942 7941 7939 7937 7935 7934 7932 7930 7928 7926 7925 7923 7921 7919 7918 7916 7914 7912 7910 7909 7907 7905 7903 7902 7900 7898 78% 7894 7893 789f 7889 7b37 7885 7884 7882 7880 sin 52' sin cos 6157 7880 6159 7878 616U7877 6163 .7875 6166 7873 6168 7871 6170 7869 6173 7868 6175 7866 6177 7864 6180 6182 6184 6186 6189 6191 6193 61% 6198 6200 7862 7860 7859 7857 7855 7853 7851 7850 7848 7346 6202 7844 6205 7842 6207 7841 6209 7839 6211 7837 6214 6216 6218 6221 6223 6225 6227 6230 6232 6234 6237 6239 6241 6243 6246 6248 7808 6250 7806 6252 7804 6255 7802 6257 7801 7835 7833 7832 7830 7828 7826 7824 7822 7821 7819 7817 7815 7813 7812 7810 6259 6262 6264 6266 6268 6271 6273 6275 6277 6280 6282 6284 6286 6289 6291 7799 7797 7795 7793 7792 7790 7788 7786 7784 7782 7781 7779 •7777 7775 7773 6293 7771, cos sin sin cos 6293 7771 6295 7770 6298 7768 6300 7766 6302 7764 6305 7762 6307 7760 6309 7759 6311 7757 6314 7755 6316 7753 6318 7751 6320 7749 6323 7748 6325 7746 6327 7744 6329 7742 6332 7740 6334 7738 6336 7V37 6338 7735 6341 7733 6343 7731 6345 7729 6347 7727 7725 7724 7722 7720 7718 6350 6352 6354 6356 6359 6361 6363 6365 6368 6370 6372 6374 9376 6379 6381 6383 6385 6388 6390 6392 6394 6397 6399 6401 6403 6406 6408 6410 6412 6414 6417 6419 '6421 6423 6426 6428 COM 7716 7714 7713 7711 7709 7707 7705 7703 7701 7700 7698 76% 7694 7692 7690 7688 7687 7685 7683 7681 7679 7677 7675 7674 7672 7670 7668 7666 7664 7662 7660 sin 61* 60^ 60 59 58 57 56 56 54 S3 52 51 60 49 48 47 46 46 44 43 42 41 40 39 38 37 36. 35 34 33 32 31 30 29 28 27 26 26 24 23 22 21- 26 19 18 17 16, 16 14 13 12 11 10 9 6 6 4 3 2 1 O 4. 1 • y MM \ m NATURAL SINES AND COSINES. NATURAL TANGENTS AND COTANGENTS. 61 40° 41^ 42' 43' 44° O 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 ao 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 sin cos 6428 7660 6430 7659 6432 7657 6435 7655 6437 7653 6439 7651 6441 7649 6443 7647 6446 7645 6448 7644 6450 7642 6452 7640 6455 7638 6457 7636 6459 7634 6461 7632 6463 7630 6466 7629 6468 7627 6470 7625 6472 6475 6477 6479 6481 6483 6486 6488 6490 6492 sin 6561 6563 6565 6567 6569 6572 6574 6576 6578 6580 cos 7547 7545 7543 7541 7539 7538 7536 7534 7532 7530 7623 7621 7619 7617 7615 7613 7612 7610 7606 7606 6494 7604 6497 7602 6499 7600 6501 7598 6503 7596 6506 7595 6508 7593 6510 7591 6512 7589 6514 7587 6517 7585 6519 7583 6521 758L 6523 7579 6525 7578 6583 7528 6585 7526 6587 7524 6589 7522 6591 7520 6593 7518 6596 7516 6598 7515 6600 7513 6602 7511 6604 7509 6607 7507 6609 7505 6611 7503 6613 7501 6615 7499 6617 7497 6620 7495 6622 7493 6624 7491 6626 7490 6628 7488 6631 7486 6633 7484 6635 7482 6637 7480 6639 7478 6641 7476 6644 7474 6646 7472 6648 7470 6650 7468 6652 7466 6654 7464 6657 7463 sin cos 6691 7431 6693 7430 6696 7428 6698 7426 6700 7424 6702 7422 6704 7420 6706 7418 6709 7416 6711 7414 6713 7412 6715 7410 6717 7408 6719 7406 6722 7404 6724 7402 6726 7400 6728 7398 6730 73% 6732 7394 6734 7392 6737 7390 6739 7388 6741 7387 6743 7385 6745 7383 6747 7381 6749 7379 6752 7377 6754 7375 6756 7373 6758 7371 6760 7369 6762 7367 6764 7365 6767 7363 6769 7361 6771 7359 6773 7357 6775 7355 6777 7253 6779 7351 6782 7349 6784 7347 6786 7345 sin 6820 6822 6824 6826 6828 6831 6833 6835 6837 6839 cos 7314 7312 7310 7308 7306 7304 7302 7300 7298 7296 6841 7294 6843 7292 6845 7290 6848 7288 6850 7286 6852 7284 6854 7282 6856 7280 6858 7278 6860 7276 6862 7274 68fe5 7272 6867 7270 6869 7268 6871 7266 6873 7264 6875 7262 6877 7260 6879 7258 6881 7256 6884 7254 6886 7252 6888 7250 6890 7248 6892 7246 6894 7244 68% 7242 6898 7240 6900 7238 6903 7236 6905 7234 6907 7232 6909 7230 6911 7228 6913 7226 6528 6530 6532 6534 6536 6539 6541 6543 6545 6547 6550 6552 6554 6556 6558 6561 cos 7576 7574 7572 7570 7568 7566 7564 7562 7560 7559 7557 7555 7553 7551 7549 7547 sin 6659 6661 6663 6665 6667 6670 6672 6674 6676 6678 6680 6683 6685 6687 6689 6691 . cos 7461 7459 7457 7455 7453 7451 7449 7447 7445 7443 7441 7439 7437 743i) 7433 7431 sin 7343 7341 7339 7337 7335 7333 7331 7329 7327 7325 7323 7321 7319 7318 7316 7.n4 cos Si"l 6788 6790 6792 6794 6797 6799 6801 6803 6805 6807 6809 6SV. 6814 6816 6818 6820 6915 6917 6919 6921 6924 6926 6928 6930 6932 6934 6936 6938 6940 6942 6944 6947 cos 7224 7222 7220 7218 7216 7214 7212 7210 7208 7206 7203 7201 7199 7197 7195 7193 sin sin cos 6947 7193 6949 7191 6951 7189 6953 7187 6955 7185 6957 7183 6959 7181 6%1 7179 6963 7177 6%5 7175 6%7 7173 6970 7171 6972 7169 6974 7167 6976 7165 6978 7163 6980 7161 6982 7159 6984 7157 6986 7155 6988 7153 6990 7151 6992 7149 6995 7147 6997 7145 6999 7143 7001 7141 7003 7139 7005 7137 7007 7135 7009 7133 7011 7130 7013 7128 7015 7126 7017 7124 7019 7122 7022 7120 7024 7118 7026 7116 7028 7114 7030 7112 7032 7110 7034 7108 7036 7106 7038 7104 7040 7102 7042 7100 7044 7098 7046 70% 7048 7094 7050 7092 7053 7090 7055 7088 7057 7085 7059 7083 7061 7081 7063 7079 7065 7077 7067 7075 7069 7073 ■^ 707i"-VD71 • cos^'tlrf: 40° 48' 47' 46' 45 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 .24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O o 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 O' 2° 3° tan 0000 0003 0006 0009 0012 0015 0017 0020 0023 0026 0029 0032 0035 0038 0041 0044 0047 0049 0052 0055 0058 0061 0064 0067 0070 0073 0076 0079 0081 0084 0087 0090 0093 00% 0099 0102 0105 0108 0111 0113 0116 0119 0122 0125 0128 0131 0134 0137 0140 0143 0146 0148 0151 0154 0157 0160 0163 0166 0169 0172 0175 cot cot Infinite 3437.75 1718.87 1145.92 859.436 687.549 572.957 491.106 429.718 381.971 343.774 312.521 286.478 264.441 245.552 229.182 214.858 202.219 190.984 180.932 171.885 163.700 156.259 149.465 143.237 137.507 132.219 127.321 122.774 118.540 114.589 110.892 107.426 104.171 101.107 98.2179 95.4895 92.9085 90.4633 88.1436 85.9398 83.8435 81.8470 79.9434 78.1263 76.3900 74.7292 73.1390 71.6151 70.1533 68.7501 67.4019 66.1055 64.8580 63.6567 62.4992 61.3829 60.3058 59.2659 58.2612 57.2900 ton tan 0175 0177 0180 0183 0186 0189 0192 0195 0198 0201 0204 0207 0209 0212 0215 0218 0221 0224 0227 0230 0233 0236 0239 0241 0244 0247 0250 0253 0256 0259 0262 0265 0268 0271 0274 0276 0279 0282 0285 0288 0291 0294 0297 0300 0303 0306 0308 0311 0314 0317 0320 0323 0326 0329 0332 0335 0338 0340 0343 0346 0349 cot cot 57.2900 56.3506 55.4415 54.5613 53.7086 52.8821 52.0807 51.3032 50.5485 49.8157 49.1039 48.4121 47.7395 47.0853 46.4489 45.8294 45.2261 44.6386 44.0661 43.5081 42.9641 42.4335 41.9158 41.4106 40.9174 40.4358 39.%55 39.5059 39.0568 38.6177' 38.1885 37.7686 37.3579 36.9560 36.5627 36.1776 35.8006 35.4313 35.0695 34.7151 34.3678 34.0273 33.6935 33.3662 33.0452 32.7303 32.4213 32.1181 31.8205 31.5284 31.2416 30.9599 30.6833 30.4116 30.1446 29.8823 29.6245 29.3711 29.1220 28.8771 28.6363 tan tan 0349 0352 0355 0358 0361 0364 0367 0370 0373 0375 0378 0381 0384 0387 0390 0393 03% 0399 0402 0405 cot 28.6363 28.3994 28.1664 27.9372 27.7117 27.4899 27.2715 27.0566 26.8450 26.6367 26.4316 26.22% 26.0307 25.8348 25.641.8 25.4517 25.2644 25.0798 24.8978 24.7185 0407 24.5418 0410 24.3675 0413 24.1957 0416 24.0263 0419.^.8593 0422 23.6945 23.5321 23.3718 23.2137 23.0577 22.9038 22.7519 22.6020 22.4541 22J081 0442 0445 0448 0451 0454 0457 0460 0463 0466 0469 0472 0475 0477 0480 0483 0486 0489 0492 0495 0498 0501 0504 0507 0509 0512 0515 0518 0521 0524 cot 22.1640 22.0217 21.8813 21.7426 21.6056 21.4704 21.3369 21.2049 21.0747 20.9460 20.8188 20.6932 20.5691 20.4465 20.3253 20.2056 20.0872 19.9702 19.8546 19.7403 19.6273 19.5156 19.4051 19.2959 19.1879 19.0811 tan tan 0524 0527 0530 0533 0536 0539 0542 0544 0547 0550 0553 0556 0559 0562 0565 0568 0571 0574 0577 0580 0582 0585 0588 0591 0594 0597 0600 0603 0606 0609 0612 0615 0617 0620 0623 0626 0629 0632 0635 0638 0641 0644 0647 0650 0653 0655 0658 0661 0664 0667 0670 0673 0676 0679 0682 0685 0688 0690 0693 06% 0699 cot cot 19.0811 18.9755 18.8711 18.7678 18.6656 18.5645 18.4645 18.3655 18.2677 18.1708 18.0750 17.9802 17.8863 17.7934 17.7015 17.6106 17.5205 17.4314 17.3432 17.2558 17.1693 17.0837 16.9990 16.9150 16.8319 16.74% 16.6681 16.5874 .16.5075 16.4283 16.3499 16.2722 16.1952 16.1190 16.0435 15.9687 15.8945 15.8211 15.7483 15.6762 15.6048 15.5340 15.4638 15.3943 15.3254 15.2571 15.1893 15.1222 15.0557 14.9898 14.9244 14.85% 14.7954 14.7317 14.6685 14.6059 14.5438 14.4823 14.4212 143607 14.3007 tan tan 0699 0702 0705 0708 0711 0714 0717 0720 0723 0726 0729 0731 0734 0737 0740 0743 0746 0749 0752 0755 0758 0761 0764 0767 0769 0772 0775 0778 0781 0784 0787 0790 07^3 07% 0799 0802 0805 0808 0810 0813 0816 0819 0822 0825 0828 0831 0834 0837 0840 0843 0846 0849 0851 0854 0857 0860 0863. 0866 0869 0872 0875 cot cot 143007 14.2411 14.1821 14.1235 14.0655 14.0079 13.9507 13.8940 13.8378 13.7821 13.7267 13.6719 13.6174 13.5634 13.5098 13.4566 13.4039 13.3515 13.29% 13.2480 13.1969 13.1461 13.0958 13.0458 12.9%2 12.9469 12.8981 12.84% 12.8014 12.7536 12.7062 12.6591 12.6124 12.5660 12.5.199 12.4742 12.4288 12.3838 12.3390 12.2946 12.2505 12.2067 12.1632 12.1201 12.0772 12.0346 11.9923 11.9504 11.9087 11.8673 11.8262 11.7853 11.7448 11.7045 11.6645 11.6248 11.5853 11.5461 11.5072 11.4685 11.4301 tan 89' 88' 87' 86' 85< 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O 62 NATURAL TANGENTS AND COTANGENTS. I 111 f 5P ep 70 8° 9° f tan cot tan cot tan cot tan cot tan cot o 0875 11.4301 1051 9.5144 1228 8.1443 1405 7.1154 1584 6.3138 60 1 0878 11.3919 1054 9.4878 1231 8.1248 1408 7.1004 1587 6.3019 59 2 0881 11.3540 1057 9.4614 1234 8.1054 1411 7.0855 1590 6.2901 58 3 0884 11.3163 1060 9.4352 1237 8.0860 1414 7.0706 1593 6.2783 57 4 0887 11.2789 1063 9.4090 1240 8.0667 1417 7.0558 15% 6.2666 56 5 0890 11.2417 1066 9.3831 1243 8.0476 1420 7.0410 1599 6.2549 55 6 0892 11.2048 1069 9.3572 1246 8.0285 1423 7.0264 1602 6.2432 54 7 0895 11.1681 1072 9.3315 1249 8.0095 1426 7.0117 1605 6.2316 53 8 0898 11.1316 1075 9.3060 1251 7.9906 1429 6.9972 1608 6.2200 52 9 0901 11.0954 1078 9.2806 1254 7.9718 1432 6.9827 1611 6.2085 51 lO 0901 11.0594 1080 9.2553 1257 7.9530 1435 6.9682 1614 6.1970 50 11 0907 11.0237 1083 9.2302 1260 7.9344 1438 6.9538 1617 6.1856 49 12 0910 10.9882 1086 9.2052 1263 7.9158 1441 6.9395 1620 6.1742 48 13 0913 10.9529 1089 9.1803 1266 7.8973 1444 6.9252 1623 6.1628 47 14 0916 10.9178 1092 9.1555 1269 7.8789 1447 6.9110 1626 6.1515 46 16 0919 10.8829 1095 9.1309 1272 7.8606 1450 6.8%9 1629 6.1402 45 16 0922 10.8483 1098 9.1065 1275 7.8424 1453 6.8828 1632 6.1290 44 17 0925 10.8139 1101 9.0821 1278 7.8243 1456 6.8687 1635 6.1178 43 18 0928 10.7797 1104 9.0579 1281 7.8062 1459 6.8548 1638 6.1066 42 19 0931 10.7457 1107 9.0338 1284 7.7883 1462 6.8408 1641 6.0955 41 20 0934 10.7119 1110 9.0098 1287 7.7704 1465 6.8269 1644 6.0844 40 21 0936 10.6783 1113 8.9860 1290 7.7525 1468 6.8131 1647 6.0734 39 22 0939 10.6450 1116 8.%23 1293 7.7348 1471 6.7994 1650 6.0624 38 23 0942 10.6118 1119 8.9387 12% 7.7171 1474 6.7856 1653 6.0514 37 24 0945 10.5789 1122 8.9152 1299 7.69% 1477 6.7720 1655 6.0405 36 25 0948 10.5462 1125 8.8919 1302 7.6821 1480 6.7584 1658 6.02% 35 26 0951 10.5136 1128 8.8686 1305 7.6647 1483 6.7448 1661 6.0188 34 27 0954 10.4813 1131 8.8455 1308 7.6473 1486 6.7313 1664 6.0080 33 28 0957 10.4491 1134 8.8225 1311 7.6301 1489 6.7179 1667 5.9972 32 29 0960 10.4172 1136 8.7996 1314 7.6129 1492 6.7045 1670 5.9865 31 30 0%3 10.3854 1139 8.7769 1317 7.5958 1495 6.6912 1673 5.9758 30 31 0966 10.3538 1142 8.7542 1319 7.5787 1497 6.6779 1676 5.%51 29 32 0%9 10.3224 1145 8.7317 1322 7.5618 1500 6.6646 1679 5.9545 28 33 0972 10.2913 1148 8.7093 1325 7.5449 1503 6.6514 1682 5.9439 27 34 0975 10.2602 1151 8.6870 1328 7.5281 1506 6.6383 1685 5.9333 26 35 0978 10.2294 1154 8.6648 1331 7.5113 1509 6.6252 1688 5.9228 25 36 0981 10.1988 1157 8.6427 1334 7.4947 1512 6.6122 1691 5.9124 24 37 0983 10.1683 1160 8.6208 1337 7.4781 1515 6.5992 1694 5.9019 23 38 0986 10.1381 1163 8.5989 1340 7.4615 1518 6.5863 1697 5.8915 22 39 0989 10.1080 1166 8.5772 1343 7.4451 1521 6.5734 1700 5.8811 21 40 0992 10.0780 1169 8.5555 1346 7.4287 1524 6.5606 1703 5.8708 20 41 0995 10.(H83 1172 8.5340 1349 7.4124 1527 6.5478 1706 5.8605 19 42 0998 10.0187 1175 8.5126 1352 7.3%2 1530 6.5350 1709 5.8502 18 43 1001 9.9893 1178 8.4913 1355 7.3800 1533 6.5223 1712 5.8400 17 44 1004 9.9601 1181 8.4701 1358 7.3639 1536 6.5097 1715 5.8298 16 45 1007 9.9310 1184 8.4490 1361 7.3479 1539 6.4971 1718 5.8197 15 46 1010 9.9021 1187 8.4280 1364 7.3319 1542 6.4846 1721 5.8095 14 47 1013 9.8734 1189 8.4071 1367 7.3160 1545 6.4721 1724 5.7994 13 48 1016 9.8448 1192 8.3863 1370 7.3002 1548 6.45% J727 5.7894 12 49 1019 9.8164 1195 8.3656 1373 7.2844 1551 6.4472 1730 5.7794 11 50 1022 9.7882 1198 8.3450 1376 7.2687 1554 6.4348 1733 5.7694 10 51 1025 9.7601 1201 8.3245 1379 7.2531 1557 6.4225 1736 5.7594 9 52 1028 9.7322 1204 8.3041 1382 7.2375 1560 6.4103 1739 5.7495 8 53 1030 9.70H 1207 8.2838 1385 7.2220 1563 6.3980 1742 5.73% 7 54 1033 9.6768 1210 8.2636 1388 7.2066 1566 6.3859 1745 5.7297 6 55 1036 9.6499 1213 8.2434 1391 7.1912 1569 6.3737 1748 5.7199 5 56 1039 9.6220 1216 8.2234 1394 7.1759 1572 6.3617 1751 5.7101 4 57 1042 9.59*9 1219 8.2035 1397 7.1607 1575 6.34% 1754 5.7004 3 58 1045 9.5679 1222 8.1837 1399 7.1455 1578 6.3376 1757 5.6906 2 59 1048 9.5411 1225 8.1640 1402 7.1304 1581 6.3257 1760 5.6809 1 eo 1051 9.5144 1228 8.1443 1405 7.1154 1584 6.3138 1763 5.6713 cot tan 84° cot tan 83° cot tan 82° cot tan 81° cot tan 80° / f NATURAL TANGENTS AND COTANGENTS. biS f 10° 11° 12° 13° 14° f tan cot tan cot tan cot tan cot tan cot 1763 5.6713 1944 5.1446 2126 4.7046 2309 4.3315 2493 4.0108 60 1 1766 5.6617 1947 5.1366 2129 4.6979 2312 4.3257 24% 4.0058 59 2 1769 5.6521 1950 5.1286 2132 4.6912 2315 4.3200 2499 4.0009 58 3 1772 5.6425 1953 5.1207 2135 4.6845 2318 4.3143 2503 3.9959 57 4 1775 5.6330 1956 5.1128 2138 4.6779 2321 4.3086 2506 3.9910 56 5 1778 5.6234 1959 5.1049 2141 4.6712 2324 4.3029 2509 3.9861 55 6 1781 5.6140 1%2 5.0970 2144 4.6646 2327 4.2972 2512 3.9812 54 7 1784 5.6045 1965 5.0892 2147 4.6580 2330 4.2916 2515 3.9763 53 8 1787 5.5951 1968 5.0814 2150 4.6514 2333 4.2859 2518 3.9714 52 9 1790 5.5857 1971 5.0736 2153 4.6448 2336 4.2803 2521 3.9665 51 10 1793 5.5764 1974 5.0658 2156 4.6382 2339 4.2747 2524 3.%17 50 11 17% 5.5671 1977 5.0581 2159 4.6317 2342 4.2691 2527 3.9568 49 12 1799 5.5578 1980 5.0504 2162 4.6252 2345 4.2635 2530 3.9520 48 13 1802 5.5485 1983 5.0427 2165 4.6187 2349 4.2580 2533 3.9471 47 14 1805 5.5393 1986 5.0350 2168 4.6122 2352 4.2524 2537 3.9423 46 15 1808 5.5301 1989 5.0273 2171 4.6057 2355 4.2468 2540 3.9375 45 16 1811 5.5209 1992 5.0197 2174 4.5993 2358 4.2413 2543 3.9327 44 17 1814 5.5118 1995 5.0121 2177 4.5928 2361 4.2358 2546 3.9279 43 18 1817 5.5026 1998 5.0045 2180 4.5864 2364 4.2303 2549 3.9232 42 19 1820 5.4936 2001 4.9969 2183 4.5800 2367 4.2248 2552 3.9184 41 20 1823 5.4845 2004 4.9894 2186 4.5736 2370 4.2193 2555 3.9136 40 21 1826 5.4755 2007 4.9819 2189 4.5673 2373 4.2139 2558 3.9089 39 22 1829 5.4665 2010 4.9744 2193 4.5609 2376 4.2084 2561 3.9042 Z^ 23 1832 5.4575 2013 4.9669 21% 4.5546 2379 4.2030 2564 3.8995 37 24 1835 5.4486 2016 4.9594 2199 4.5483 2382 4.1976 2568 3.8947 36 25 1838 5.4397 2019 4.9520 2202 4.5420 2385 4.1922 2571 3.8900 35 26 1841 5.4303 2022 4.9446 2205 4.5357 2388 4.1868 2574 3.8854 34 27 1844 5.4219 2025 4.9372 2208 4.5294 2392 4.1814 2577 3.8807 33 28 1847 5.4131 2028 4.9298 2211 4.5232 2395 4.1760 2580 3.8760 32 29 1850 5.4043 2031 4.9225 2214 4.5169 2398 4.1706 2583 3.8714 31 30 1853 5.3955 2035 4.9152 2217 4.5107 2401 4.1653 2586 3.8667 30 31 1856 5.3868 2038 4.9078 2220 4.5045 2404 4.1600 2589 3.8621 29 32 1859 5.3781 2941 4.9006 2223 4.4983 2407 4.1547 2592 3.8575 28 33 1862 5.3694 2044 4.8933 2226 4.4922 2410 4.1493 2595 3.8528 27 34 1865 5.3607 2047 4.8860 2229 4.4860 2413 4.1441 2599 3.8482 26 35 1868 5.3521 2050 4.8788 2232 4.4799 2416 4.1388 2602 3.8436 25 36 1871 5.3435 2053 4.8716 2235 4.4737 2419 4.1335 2605 3.8391 24 37 1874 5.3349 2056 4.8644 2238 4.4676 2422 4.1282 2608 3.8345 23 38 1877 5.3263 2059 4.8573 2241 4.4615 2425 4.1230 2611 3.8299 22 39 1880 5.3178 2062 4.8501 2244 4.4555 2428 4.1178 2614 3.8254 21 40 1883 5.3093 2065 4.8430 2247 4.4494 2432 4.1126 2617 3.8208 20 41 1887 5.3008 2068 4.8359 2251 4.4434 2435 4.1074 2620 3.8163 19 42 1890 5.2924 2071 4.8288 2254 4.4374 2438 4.1022 2623 3.8118 18 43 1893 5.2839 2074 4.8218 2257 4.4313 2441 4.0970 2627 3.8073 17 44 18% 5.2755 2077 4.8147 2260 4.4253 2444 4.0918 2630 3.8028 16 45 1899 5.2672 2080 4.8077 2263 4.4194 2447 4.0867 2633 3.7983 15 46 1902 5.2588 2083 4.8007 2266 4.4134 2450 4.0815 2636 3.7938 14 47 1905 5.2505 2086 4.7937 2269 4.4075 2453 4.0764 2639 3.7893 13 48 1908 5.2422 2089 4.7867 2272 4.4015 2456 4.0713 2642 3.7848 12 49 1911 5.2339 2092 4.7798 2275 4.3956 2459 4.0662 2645 3.7804 11 50 1914 5.2257 2095 4.7729 2278 43897 2462 4.0611 2648 3.7760 10 51 1917 5.2174 2098 4.7659 2281 4.3838 2465 4.0560 2651 3.7715 9 52 1920 5.2092 2101 4.7591 2284 4.3779 2469 4.0509 2655 3.7671 8 53 1923 5.2011 2104 4.7522 2287 4.3721 2472 4.0459 2658 3.7627 7 54 1926 5.1929 2107 4.7453 2290 4.3662 2475 4.0408 2661 3.7583 6 55 1929 5.1848 2110 4.7385 2293 4.3604 2478 4.0358 2664 3.7539 5 56 1932 5.1767 2113 4.7317 22% 4.3546 2481 4.0308 2667 3.7495 4 57 1935 5.1686 2116 4.7249 2299 4.3488 2484 4.0257 2670 3.7451 3 58 1938 5.1606 2119 4.7181 2303 4.3430 2487 4.0207 2673 3.7408 2 59 1941 5.1526 2123 4.7114 2306 4.3372 2490 4.0158 2676 3.7364 1 60 1944 5.1446 2126 4.7046 2309 4.3315 2493 4.0108 2679 3.7321 cot tan 79° cot tan 78° cot tan 77° cot tan 76° cot tan 75° f f ' 64 NATURAL TANGENTS AND COTANGENTS. f 15° 16° 17° 18° 19° r tan cot tan cot tan cot tAn cot tan cot O 2679 3.7321 2867 3.4874 3057 3.2709 3249 3.0777 3443 2.9042 60 1 2683 3.7277 2871 3.4836 3060 3.2675 3252 3.0746 3447 2.9015 59 2 2686 3.7234 2874 3.4798 3064 3.2641 3256 3.0716 3450 2.8987 58 3 2689 3.7191 2877 3.4760 3067 3.2607 3259 3.0686 3453 2.8960 57 4 2692 3.7148 2880 3.4722 3070 3.2573 3262 3.0655 3456 2.8933 56 5 2695 3.7105 2883 3.4684 3073 3.2539 3265 3.0625 3460 2.8905 55 6 2698 3.7062 2886 3.4646 3076 3.2506 3269 3.0595 3463 2.8878 54 7 2701 3.7019 2890 3.4608 3080 3.2472 3272 3.0565 3466 2.8851 53 8 2704 3.6976 2893 3.4570 3083 3.2438 3275 3.0535 3469 2.8824 52 9 2708 3.6933 28% 3.4533 3086 3.2405 3278 3.0505 3473 2.8797 51 lO 2711 3.6891 2899 3.4495 3089 3.2371 3281 3.0475 3476 2.8770 50 11 2714 3.6848 2902 3.4458 3092 3.2338 3285 3.0445 3479 2.8743 49 12 2717 3.6806 2905 3.4420 3096 3.2305 3288 3.0415 3482 2.8716 48 13 2720 3.6764 2908 3.4383 3099 3.2272 3291 3.0385 3486 2.8689 47 14 2723 3.6722 2912 3.4346 3102 3.2238 3294 3.0^56 3489 2.8662 46 16 2726 3.6680 2915 3.4308 3105 3.2205 3298 3.0326 3492 2.8636 45 16 2729 3.6638 2918 3.4271 3108 3.2172 3301 3.02% 3495 2.8609 44 17 2733 3.65% 2921 3.4234 3111 3.2139 3304 3.0267 3499 2.8582 43 18 2736 3.6554 2924 3.4197 3115 3.2106 3307 3.0237 3502 2.8556 42 19 2739 3.6512 2927 3.4160 3118 3.2073 3310 3.0208 3505 2.8529 41 20 2742 3.6470 2931 3.4124 3121 3.2041 3314 3.0178 3508 2.8502 40 21 2745 3.6429 2934 3.4087 3124 3.2008 3317 3.0149 3512 2.8476 39 22 2748 3.6387 2937 3.4050 3127 3.1975 3320 3.0120 3515 2.8449 38 23 2751 3.6346 2940 3.4014 3131 3.1943 3323 3.0090 3518 2.8423 37 24 2754 3.6305 2943 3.3977 3134 3.1910 3327 3.0061 3522 2.8397 36 25 2758 3.6264 2946 3.3941 3137 3.1878 3330 3.0032 3525 2.8370 35 26 2761 3.6222 2949 3.3904 3140 3.1845 3333 3.0003 3528 2.8344 34 27 2764 3.6181 2953 3.3868 3143 3.1813 3336 2.9974 3531 2.8318 33 28 2767 3.6140 2956 3.3832 3147 3.1780 3339 2.9945 3535 2.8291 32 29 2770 3.6100 2959 3.37% 3150 3.1748 3343 2.9916 3538 2.8265 31 ao 2773 3.6059 2%2 3.3759 3153 3.1716 3346 2.9887 3541 2.8239 30 31 2776 3.6018 2%5 3.3723 3156 3.1684 3349 2.9858 3544 2.8213 29 32 2780 3.5978 2968 3.3687 3159 3.1652 3352 2.9829 3548 2.8187 28 33 2783 3.5937 2972 3.3652 3163 3.1620 3356 2.9800 3551 2.8161 27 34 2786 3.5897 2975 3.3616 3166 3.1588 3359 2.9772 3554 2.8135 26 35 2789 3.5856 2978 3.3580 3169 3.1556 3362 2.9743 3558 2.8109 25 36 2792 3.5816 2981 3.3544 3172 3.1524 3365 2.9714 3561 2.8083 24 37 2795 3.5776 2984 3.3509 3175 3.1492 3369 2.9686 3564 2.8057 23 38 2798 3.5736 2987 3.3473 3179 3.1460 3372 2.%57 3567 2.8032 22 39 2801 3.5696 2991 3.3438 3182 3.1429 3375 2.%29 3571 2.8006 21 40 2805 3.5656 2994 3.3402 3185 3.1397 3378 2.9600 3574 2.7980 20 41 2808 3.5616 2997 3.3367 3188 3.1366 3382 2.9572 3577 2.7955 19 42 2811 3.5576 3000 3.3332 3191 3.1334 3385 2.9544 3581 2.7929 18 43 2814 3.5536 3003 3.3297 3195 3.1303 3388 2.9515 3584 2.7903 17 44 2817 3.5497 3006 3.3261 3198 3.1271 3391 2.9487 3587 2.7878 16 45 2820 3.5457 3010 3.3226 3201 3.1240 3395 2.9459 3590 2.7852 15 46 2823 3.5418 3013 3.3191 3204 3.1209 3398 2.9431 3594 2.7827 14 47 2827 3.5379 3016 3.3156 3207 3.1178 3401 2.9403 3597 2.7801 13 48 2830 3.5339 3019 3.3122 3211 3.1146 3404 2.9375 3600 2.7776 12 49 2833 3.5300 3022 3.3087 3214 3.1115 3408 2.9347 3604 2.7751 11 50 2836 3.5261 3026 3.3052 3217 3.1084 3411 2.9319 3607 2.7725 lO 51 2839 3.5222 3029 3.3017 3220 3.1053 3414 2.9291 3610 2.7700 9 52 2842 3.5183 3032 3.2983 3223 3.1022 3417 2.9263 3613 2.7675 8 53 2845 3.5144 3035 3.2948 3227 3.0991 3421 2.9235 3617 2.7650 7 54 2849 3.5105 3038 3.2914 3230 3.0%1 3424 2.9208 3620 2.7625 6 55 2852 3.5067 3041 3.2880 3233 3.0930 3427 2.9180 3623 2.7600 5 56 2855 3.5028 3045 3.2845 3236 3.0899 3430 2.9152 3627 2.7575 4 57 2858 3.4989 3048 3.2811 3240 3.0868 3434 2.9125 3630 2.7550 3 58 2861 3.4951 3051 3.2777 3243 3.0838 3437 2.9097 3633 2.7525 2 59 2864 3.4912 3054 3.2743 3246 3.0807 3440 2.9070 3636 2.7500 1 60 2867 3.4874 3057 3.2709 3249 3.0777 3443 2.9042 3640 2.7475 O cot tao 74° cot tan 73° cot tan 72° cot tan 710 cot tan 70° f f NATURAL TANGENTS AND COTANGENTS. 65 o 1 2 3 4 5 6 7 8 9 lO 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 20^ 21° 22 o 23^ 24c tan 3640 3643 3646 3650 3653 3656 3659 3663 3666 3669 3673 3676 3679 3683 3686 3689 3693 3696 3699 3702 3706 3709 3712 3716 3719 3722 3726 3729 3732 3736 3739 3742 3745 3749 3752 3755 3759 3762 3765 3769 3772 3775 3779 3782 3785 3789 3792 3795 3799 3802 3805 3809 3812 3815 3819 3822 3825 3829 3832 3835 3839 cot cot 2.7475 2.7450 2.7425 2.7400 2.7376 2.7351 2.7326 2.7302 2.7277 2.7253 2.7228 2.7204 2.7179 2.7155 2.7130 2.7106 2.7082 2.7058 2.7034 2.7009 2.6985 2.6961 2.6937 2.6913 2.6889 2.6865 2.6841 2.6818 2.6794 2.6770 2.6746 2.6723 2.6699 2.6675 2.6652 2.6628 2.6605 2.6581 2.6558 2.6534 2.6511 2.6488 2.6464 2.6441 2.6418 2.6395 2.6371 2.6348 2.6325 2.6302 2.6279 2.6256 2.6233 2.6210 2.6187 2.6165 2.6142 2.6119 2.60% 2.6074 2.6051 tan 60' tan 3839 3842 3845 3849 3852 3855 3859 3862 3865 3869 3872 3875 3879 3882 3885 3889 3892 3895 3899 3902 3906 3909 3912 3916 3919 3922 3926 3929 3932 3936 3939 3942 3946 3949 3953 3956 3959 3%3 3966 3969 3973 3976 3979 3983 3986 3990 3993 39% 4000 4003 4006 4010 4013 4017 4020 4023 4027 4030 4033 4037 4040 cot cot 2.6051 2.6028 2.6006 2.5983 2.5961 2.5938 2.5916 2.5893 2.5871 2.5848 2.5826 2.5804 2.5782 2.5759 2.5737 2.5715 2.5693 2.5671 2.5649 2.5627 2.5605 2.5533 2.5561 2.5539 2.5517 2.5495 2.5473 2.5452 2.5430 2.5408 2.5386 2.5365 2.5343 2.5322 2.5300 2.5279 2.5257 2.5236 2.5214 2.5193 2.5172 2.5150 2.5129 2.5108 2.5086 2.5065 2.5044 2.5023 2.5002 2.4981 2.4960 2.4939 2.4918 2.4897 2.4876 2.4855 2.4834 2.4813 2.4792 2.4772 2.4751 tan 68^ tan 4040 4044 4047 4050 4054 4057 4061 4064 4067 4071 4074 4078 4081 4084 4088 4091 4095 4098 4101 4105 4108 4111 4115 4118 4122 4125 4129 4132 4135 4139 4142 4146 4149 4152 4156 4159 4163 4166 4169 4173 4176 4180 4183 4187 4190 4193 4197 4200 4204 4207 4210 4214 4217 4221 4224 4228 4231 4234 4238 4241 4245 cot cot 2.4751 2.4730 2.4709 2.4689 2.4668 2.4648 2.4627 2.4606 2.4586 2.4566 2.4545 2.4525 2.4504 2.4484 2.4464 2.4443 2.4423 2.4403 2.4383 2.4362 2.4342 2.4322 2.4302 2.4282 2.4262 2.4242 2.4222 2.4202 2.4182 2.4162 2.4142 2.4122 2.4102 2.4083 2.4063 2.4043 2.4023 2.4004 2.3984 2.3964 2.3945 2.3925 2.3906 2.3886 2.3867 2.3847 2.3828 2.3808 2.3789 2.3770 2.3750 2.3731 2.3712 2.3693 2.3673 2.3654 2.3635 2.3616 2.3597 2.3578 2.3559 tan 67^ tan cot 4245 2.3559 4248 2.3539 4252 2.3520 4255 2.3501 4258 2.3483 4262 4265 4269 4272 4276 4279 4283 4286 4289 4293 42% 4300 4303 4307 4310 4314 4317 4320 4324 4327 4331 4334 4338 4341 4345 4348 4352 4355 4359 4362 4365 4369 4372 4376 4379 4383 4386 4390 4393 4397 4400 4404 4407 4411 4414 4417 4421 4424 4428 4431 4435 4438 4442 4445 4449 4452 cot 2.3464 2.3445 2.3426 2.3407 2.3388 2.3369 2.3351 2.3332 2.3313 2.3294 2.3276 2.3257 2.3238 2.3220 2.3201 2.3183 2.3164 2.3146 2.3127 2.3109 2.3090 2.3072 2.3053 2.3035 2.301> 2.2998 2.2980 2.2962 2.2944 2.2925 2.2907 2.2889 2.2871 2.2853 2.2835 2.2817 2.2799 2.2781 2.2763 2.2745 2.2727 2.2709 2.2691 2.2673 2.2655 2.2637 2.2620 2.2602 2.2584 2.2566 2.2549 2.2531 2.2513 2.24% 2.2478 2.2460 tan 66"= tan 4452 4456 4459 4463 4466 4470 4473 4477 4480 4484 4487 4491 4494 4498 4501 4505 4508 4512 4515 4519 4522 4526 4529 4533 4536 4540 4543 4547 45.S0 4554 4557 4561 4564 4568 4571 4575 4578 4582 4585 4589 4592 45% 4599 4603 4607 4610 4614 4617 4621 4624 4628 4631 4635 4638 4642 4645 4649 4652 4656 4660 4663 cot cot 2.2460 2.2443 2.2425 2.2408 2.2390 2.2373 2.2355 2.2338 2.2320 2.2303 2.2286 2.2268 2.2251 2.2234 2.2216 2.2199 2.2182 2.2165 2.2148 2.2130 2.2113 2.20% 2.2079 2.2062 2.2045 2.2028 2.2011 2.1994 2.1977 2.1960 2.1943 2.1926 2.1909 2.1892 2.1876 2.1859 2.1842 2.1825 2.1508 2.1792 2.1775 2.1758 2.1742 2.1725 2.1708 2.1692 2.1675 2.1659 2.1642 2.1625 2.1609 2.1592 2.1576 2.1560 2.1543 2.1527 2.1510 2.1494 2.1478 2.1461 2.1445 tan 65^ 60 59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 ZZ 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 O 66 NATURAL TANGENTS AND COTANGENTS. !l f 25*^ 26*^ 27° 28° 29° f tan cot tan cot tan cot tan cot tan cot o 4663 2.1445 4877 2.0503 5095 l.%26 5317 1.8807 5543 1.8040 60 1 4667 2.1429 4881 2.0488 5099 l.%12 5321 1.8794 5547 1.8028 59 2 4670 2.1413 4885 2.(H73 5103 1.9598 5325 1.8781 5551 1.8016 58 3 4674 2.1396 4888 2.0+58 5106 1.9584 5328 1.8768 5555 1.8003 57 4 4677 2.1380 4892 2.0443 5110 1.9570 5332 1.8755 5558 1.7991 56 5 4681 2.1364 4895 2.0428 5114 1.9556 5336 1.8741 5562 1.7979 55 6 4684 2.1348 4899 2.(H13 5117 1.9542 5340 1.8728 5566 1.7966 54 7 4688 2.1332 4903 2.0398 5121 1.9528 5343 1.8715 5570 1.7954 53 8 4691 2.1315 4906 2.0383 5125 1.9514 5347 1.8702 5574 1.7942 52 9 4695 2.1299 4910 2.0368 5128 1.9500 5351 1.8689 5577 1.7930 51 lO 4699 2.1283 4913 2.0353 5132 1.9486 5354 1.8676 5581 1.7917 50 11 4702 2.1267 4917 2.0338 5136 1.9472 5358 1.8663 5585 1.7905 49 12 4706 2.1251 4921 2.0323 5139 1.9458 5362 1.8650 5589 1.7893 48 13 4709 2.1235 4924 2.0308 5143 1.9444 5366 1.8637 5593 1.7881 47 14 4713 2.1219 4928 2.0293 5147 1.9+30 5369 1.8624 55% 1.7868 46 16 4716 2.1203 4931 2.0278 5150 1.9416 5373 1.8611 5600 1.7856 45 16 4720 2.1187 4935 2.0263 5154 1.9402 5377 1.8598 560+ 1.7844 44 17 4723 2.1171 4939 2.0248 5158 1.9388 5381 1.8585 5608 1.7832 43 18 4727 2.1155 4942 2.0233 5161 1.9375 5384 1.8572 5612 1.7820 42 19 4731 2.1139 4946 2.0219 5165 1.9361 5388 1.8559 5616 1.7808 41 20 4734 2.1123 4950 2.0204 5169 1.9347 5392 1.8546 5619 1.77% 40 21 4738 2.1107 4953 2.0189 5172 1.9333 53% 1.8533 5623 1.7783 39 22 4741 2.1092 4957 2.0174 5176 1.9319 5399 1.8520 5627 1.7771 38 23 4745 2.1076 4960 2.0160 5180 1.9306 5403 1.8507 5631 1.7759 37 24 4748 2.1060 496+ 2.0145 5184 1.9292 5407 1.8495 5635 1.7747 36 25 4752 2.10H 4968 2.0130 5187 1.9278 5411 1.8482 5639 1.7735 85 26 4755 2.1028 4971 2.0115 5191 1.9265 5415 1.8469 5642 1.7723 34 27 4759 2.1013 4975 2.0101 5195 1.9251 5418 1.8456 5646 1.7711 33 28 4763 2.0997 4979 2.0086 5198 1.9237 5422 1.8443 5650 1.7699 32 29 4766 2.0981 4982 2.0072 5202 1.9223 5426 1.8430 5654 1.7687 31 SO 4770 2.0%5 4986 2.0057 5206 1.9210 5430 1.8418 5658 1.7675 30 31 4773 2.0950 4989 2.0042 5209 1.91% 5433 1.8405 5662 1.7663 29 32 4777 2.0934 4993 2.0028 5213 1.9183 5437 1.8392 5665 1.7651 28 33 4780 2.0918 4997 2.0013 5217 1.9169 5441 1.8379 5669 1.7639 27 34 4784 2.0903 5000 1.9999 5220 1.9155 5445 1.8367 5673 1.7627 26 35 4788 2.0887 5004 1.9984 5224 1.9142 5448 1.8354 5677 1.7615 25 36 4791 2.0872 5008 1.9970 5228 1.9128 5452 1.8341 5681 1.7603 24 37 4795 2.0856 5011 1.9955 5232 1.9115 5456 1.8329 5685 1.7591 23 38 4798 2.0840 5015 1.9941 5235 1.9101 5460 1.8316 5688 1.7579 22 39 4802 2.0825 5019 1.9926 5239 1.9088 5464 1.8303 5692 1.7567 21 40 4806 2.0809 5022 1.9912 5243 1.9074 5467 1.8291 56% 1.7556 20 41 4809 2.0794 5026 1.9897 5246 1.9061 5471 1.8278 5700 1.7544 19 42 4813 2.0778 5029 1.9883 5250 1.9047 5475 1.8265 5704 1.7532 18 43 4816 2.0763 5033 1.9868 5254 1.9034 5479 1.8253 5708 1.7520 17 44 4820 2.0748 5037 1.9854 5258 1.9020 5482 1.8240 5712 1.7508 16 45 4823 2.0732 5(H0 1.9840 5261 1.9007 5486 1.8228 5715 1.74% 15 46 4827 2.0717 50H 1.9825 5265 1.8993 5490 1.8215 5719 1.7485 14 47 4831 2.0701 5048 1.9811 5269 1.8980 5494 1.8202 5723 1.7473 13 48 4834 2.0686 5051 1.9797 5272 1.8%7 5498 1.8190 5727 1.7461 12 49 4838 2.0671 5055 1.9782 5276 1.8953 5501 1.8177 5731 1.7449 11 50 4841 2.0655 5059 1.9768 5280 1.8940 5505 1.8165 5735 1.7437 lO 51 4845 2.0640 5062 1.9754 5284 1.8927 5509 1.8152 5739 1.7426 9 52 4849 2.0625 5066 1.9740 5287 1.8913 5513 1.8140 5743 1.7414 8 53 4852 2.0609 5070 1.9725 5291 1.8900 5517 1.8127 5746 1.7402 7 54 4856 2.0594 5073 1.9711 5295 1.8887 5520 1.8115 5750 1.7391 6 55 4859 2.0579 5077 l.%97 5298 1.8873 5524 1.8103 5754 1.7379 6 56 4863 2.0564 5081 1.9683 5302 1.8860 5528 1.8090 5758 1.7367 4 57 4S67 2.0549 5084 1.9669 5306 1.8847 5532 1.8078 5762 1.7355 3 58 4870 2.0533 5088 l.%54 5310 1.8834 5535 1.8065 5766 1.7344 2 59 4874 2.0518 5092 1.9640 5313 1.8820 5539 1.8053 5770 1.7332 1 60 4877 2.0503 5095 l.%26 5317 1.8807 5543 1.80+0 5774 1.7321 O cot tan 64° cot tan 63° cot tan 62° cot tan 61° cot tan 60° f f NATURAL TANGENTS AND COTANGENTS. 67 f 30° 31° 32° 33° 34° f tan cot tan cot tan cot tan cot tan cot o 5774 1.7321 6009 1.6643 6249 1.6003 6494 1.5399 6745 1.4826 60 1 5777 1.7309 6013 1.6632 6253 1.5993 6498 1.5389 6749 1.4816 59 2 5781 1.7297 6017 1.6621 6257 1.5983 6502 1.5379 6754 1.4807 58 3 5785 1.7286 6020 1.6610 6261 1.5972 6506 15369 6758 1.4798 57 4 5789 1.7274 6024 1.6599 6265 1.5962 6511 1.5359 6762 1.4788 56 5 5793 1.7262 6028 1.6588 6269 1.5952 6515 1.5350 6766 1.4779 55 6 5797 1.7251 6032 1.6577 6273 1.5941 6519 1.5340 6771 1.4770 54 7 5801 1.7239 6036 1.6566 6277 1.5931 6523 1.5330 6775 1.4761 53 8 5805 1.7228 6040 1.6555 6281 1.5921 6527 1.5320 6779 1.4751 52 9 5808 1.7216 6044 1.6545 6285 1.5911 6531 1.5311 6783 1.4742 51 10 5812 1.7205 6048 1.6534 6289 1.5900 6536 1.5301 6787 1.4733 50 11 5816 1.7193 6052 1.6523 6293 1.5890 6540 1.5291 6792 1.4724 49 12 5820 1.7182 6056 1.6512 6297 1.5880 6544 1.5282 6796 1.4715 48 13 5824 1.7170 6060 1.6501 6301 1.5869 6548 1.5272 6800 1.4705 ■ 47 14 5828 1.7159 6064 1.6490 6305 1.5859 6552 1.5262 6805 1.46% 46 15 5832 1.7147 6068 1.6479 6310 1.5849 6556 1.5253 6809 1.4687 45 16 5836 1.7136 6072 1.6469 6314 1.5839 6560 1.5243 6813 1.4678 44 17 5840 1.7124 6076 1.6458 6318 1.5829 6565 1.5233 6817 1.4669 43 18 5844 1.7113 6080 1.6447 6322 1.5818 6569 1.5224 6822 1.4659 42 19 5847 1.7102 6084 1.6436 6326 1.5808 6573 1.5214 6826 1.4650 41 20 5851 1.7090 6088 1.6426 6330 1.5798 6577 1.5204 6830 1.4641 40 21 5855 1.7079 6092 1.6415 6334 1.5788 6581 1.5195 6834 1.4632 39 22 5859 1.7067 6096 1.6404 6338 1.5778 6585 1.5185 6839 1.4623 38 23 5863 1.7056 6100 1.6393 6342 1.5768 6590 1.5175 6843 1.4614 37 24 5867 1.70+5 6104 1.6383 6346 1.5757 6594 1.5166 6847 1.4605 36 25 5871 1.7033 6108 1.6372 6350 1.5747 6598 1.5156 6851 1.45% 35 26 5875 1.7022 6112 1.6361 6354 1.5737 6602 1.5147 6856 1.4586 34 27 5879 1.7011 6116 1.6351 6358 1.5727 6606 1.5137 6860 1.4577 33 28 5883 1.6999 6120 1.6340 6363 1.5717 6610 1.5127 6864 1.4568 32 29 5887 1.6988 6124 1.6329 6367 1.5707 6615 1.5118 6869 1.4559 31 30 5890 1.6977 6128 1.6319 6371 1.5697 6619 1.5108 6873 1.4550 30 31 5894 1.6%5 6132 1.6308 6375 1.5687 6623 1.5099 6877 1.4541 29 32 5898 1.6954 6136 1.6297 6379 1.5677 6627 1.5089 6881 1.4532 28 33 5902 1.6943 6140 1.6287 6383 1.5667 6631 1.5080 6886 1.4523 27 34 5906 1.6932 6144 1.6276 6387 1.5657 6636 1.5070 6890 1.4514 26 35 5910 1.6920 6148 1.6265 6391 1.5647 6640 1.5061 6894 1.4505 25 36 5914 1.6909 6152 1.6255 6395 1.5637 6644 1.5051 6899 1.44% 24 37 5918 1.6898 6156 1.6244 6399 1.5627 6648 1.5042 6903 1.4487 23 38 5922 1.6887 6160 1.6234 6403 1.5617 6652 1.5032 6907 1.4478 22 39 5926 1.6875 6164 1.6223 6408 1.5607 6657 1.5023 6911 1.4469 21 40 5930 1.6864 6168 1.6212 6412 1.5597 6661 1.5013 6916 1.4460 20 41 5934 1.6853 6172 1.6202 6416 1.5587 6665 1.5004 6920 1.4451 19 42 5938 1.6842 6176 1.6191 6420 1.5577 6669 1.4994 6924 1.4442 18 43 5942 1.6831 6180 1.6181 6424 1.5567 6673 1.4985 6929 1.4+33 17 44 5945 1.6820 6184 1.6170 6428 1.5557 6678 1.4975 6933 1.4424 16 45 5949 1.6808 6188 1.6160 6432 1.5547 6682 1.4966 6937 1.4415 15 46 5953 1.6797 6192 1.6149 6436 1.5537 6686 1.4957 6942 1.4+06 14 47 5957 1.6786 6196 1.6139 6440 1.5527 6690 1.4947 6946 1.4397 13 48 5%1 1.6775 6200 1.6128 6445 1.5517 6694 1.4938 6950 1.4388 12 49 5%5 1.6764 6204 1.6118 6449 1.5507 6699 1.4928 6954 1.4379 11 50 5969 1.6753 6208 1.6107 6453 1.5497 6703 1.4919 6959 1.4370 lO 51 5973 1.6742 6212 1.6097 6457 1.5487 6707 1.4910 6963 1.4361 9 52 5977 1.6731 6216 1.6087 6461 1.5477 6711 1.4900 6967 1.4352 8 53 5981 1.6720 6220 1.6076 6465 1.5468 6716 1.4891 6972 1.4344 7 54 5985 1.6709 6224 1.6066 6469 1.5458 6720 1.4882 6976 1.4335 6 55 5989 1.6698 6228 1.6055 6473 1.5448 6724 1.4872 6980 1.4326 5 56 ^ am 5993 1.6687 6233 1.6045 6478 1.5438 6728 1.4863 6985 1.4317 4 57 5997 1.6676 6237 1.6034 6482 1.5428 6732 1.4854 6989 1.4308 3 58 6001 1.6665 6241 1.6024 6486 1.5418 6737 1.4844 6993 1.4299 2 59 6005 1.6654 6245 1.6014 6490 1.5408 6741 1.4835 6998 1.4290 1 60 6009 1.6643 6249 1.6003 6494 1.5399 6745 1.4826 7002 1.4281 O f cot tan 59° cot tan 58° cot tan 57° cot tan 56° cot tan 55° f ^ t: I i It ''. ( 1 r 1 1 ■iiii 68 NATURAL TANGENTS AND COTANGENTS. f 35^ 36° 37° 38° 3»° f tan cot tan cot tan cot tan cot tan cot o 7002 1.4281 7265 1.3764 7536 1.3270 7813 1.2799 8098 1.2349 GO 1 7006 1.4273 7270 1.3755 7540 1.3262 7818 1.2792 8103 1.2342 59 2 7011 1.4264 7274 1.3747 7545 1.3254 7822 1.2784 8107 1.2334 58 3 7015 1.4255 7279 1.3739 7549 1.3246 7827 1.2776 8112 1.2327 57 4 7019 1.4246 7283 1.3730 7554 1.3238 7832 1.2769 8117 1.2320 56 5 7024 1.4237 7288 1.3722 7558 1.3230 7836 1.2761 8122 1.2312 55 6 7028 1.4229 7292 1.3713 7563 1.3222 7841 1.2753 8127 1.2305 - 54 7 7032 1.4220 7297 1.3705 7568 1.3214 7846 1.2746 8132 1.2298 53 8 7037 1.4211 7301 1.3697 7572 1.3206 7850 1.2738 8136 1.2290 52 9 7(H1 1.4202 7306 1.3688 7577 1.3198 7855 1.2731 8141 1.2283 51 lO 7(M6 1.4193 7310 1.3680 7581 1.3190 7860 1.2723 8146 1.2276 50 11 7050 1.4185 7314 1.3672 7586 1.3182 7865 1.2715 8151 1.2268 49 12 7054 1.4176 7319 1.3663 7590 1.3175 7869 1.2708 8156 1.2261 48 13 7059 1.4167 7323 1.3655 7595 1.3167 7874 1.2700 8161 1.2254 47 14 7063 1.4158 7328 1.3647 7600 1.3159 7879 1.2693 8165 1.2247 46 16 7067 1.4150 7332 1.3638 7604 1.3151 788.3 1.2685 8170 1.2239 45 16 7072 1.4141 7337 1.3630 7609 1.3143 7888 1.2677 8175 1.2232 44 17 7076 1.4132 7341 1.3622 7613 1.3135 7893 1.2670 8180 1.2225 43 18 7080 1.4124 7346 1.3613 7618 1.3127 7898 1.2662 8185 1.2218 42 19 7085 1.4115 7350 1.3605 7623 1.3119 7902 1.2655 8190 1.2210 41 20 7089 1.4106 7355 1.3597 7627 1.3111 7907 1.2647 8195 1.2203 40 21 7091 1.4097 7359 1.3588 7632 1.3103 7912 1.2640 8199 1.21% 39 22 7098 1.4089 736f 1.3580 7636 1.3095 7916 1.2632 8204 1.2189 38 23 7102 1.4080 7368 1.3572 7641 1.3087 7921 1.2624 8209 1.2181 37 24 7107 1.4071 7373 1.3564 7646 1.3079 7926 1.2617 8214 1.2174 36 25 7111 1.4063 7377 1.3555 7650 1.3072 7931 1.2609 8219 1.2167 35 26 7115 1.4054 7382 1.3547 7655 1.3064 7935 1.2602 8224 1.2160 34 27 7120 1.4(H5 7386 1.3539 7659 1.3056 7940 1.2594 8229 1.2153 33 28 7124 1.4037 7391 1.3531 7664 1.3048 7945 1.2587 8234 1.2145 32 29 7129 1.4028 7395 1.3522 7669 1.3040 7950 1.2579 8238 1.2138 31 30 7133 1.4019 7400 1.3514 7673 1.3032 7954 1.2572 8243 1.2131 30 31 7137 1.4011 7404 1.3506 7678 1.3024 7959 1.2564 8248 1.2124 29 32 7142 1.4002 7409 1.3498 7683 1.3017 7964 1.2557 8253 1.2117 28 33 7146 1.3994 7413 1.3490 7687 1.3009 7969 1.2549 8258 1.2109 27 34 7151 1.3985 7418 1.3481 7692 1.3001 7973 1.2542 8263 1.2102 26 35 7155 1.3976 7422 1.3473 76% 1.2993 7978 1.2534 8268 1.2095 26 36 7159 1J968 7427 1.3465 7701 1.2985 7983 1.2527 8273 1.2088 24 37 7164 1.3959 7431 1.3457 7706 1.2977 7988 1.2519 8278 1.2081 23 38 7168 1.3951 7436 1.3449 7710 1.2970 7992 1.2512 8283 1.2074 22 39 7173 1.3942 7440 1.3440 7715 1.2%2 7997 1.2504 8287 1.2066 21 40 7177 1.3934 7445 1.3432 7720 1.2954 8002 1.2497 8292 1.2059 20 41 7181 1.3925 7449 1.3424 7724 1.2946 8007 1.2489 8297 1.2052 19 42 7186 1.3916 7454 1.3416 7729 1.2938 8012 1.2482 8302 1.2045 18 43 7190 1.3908 7458 1.3408 7734 1.2931 8016 1.2475 8307 1.2038 17 44 7195 1.3899 7463 1.3400 7738 1.2923 8021 1.2467 8312 1.2031 16 45 7199 1.3891 7467 1.3392 7743 1.2915 8026 1.2460 8317 1.2024 16 46 7203 1.3882 7472 1.3384 7747 1.2907 8031 1.2452 8322 1.2017 14 47 7208 1.3874 7476 1.3375 7752 1.2900 8035 1.2445 8327 1.2009 13 48 7212 1.3865 7481 1.3367 7757 1.2892 8040 1.2437 8332 1.2002 12 49 7217 1.3857 7485 1.3359 7761 1.2884 8045 1.2430 8337 1.1995 11 50 7221 1.3848 7490 1.3351 7766 1.2876 8050 1.2423 8342 1.1988 lO 51 7226 1.3840 7495 1.3343 7771 1.2869 8055 1.2415 8346 1.1981 9 52 7230 1.3831 7499 1.3335 7775 1.2861 8059 1.2408 8351 1.1974 8 Mm 53 7234 1.3823 7504 1.3327 7780 1.2853 8064 1.2401 8356 1.1%7 7 54 7239 1.3814 7508 1.3319 7785 1.2846 8069 1.2393 8361 1.1960 6 55 7243 1.3806 7513 1.3311 7789 1.2838 8074 1.2386 8366 1.1953 5 56 7248 1.3798 7517 1.3303 7794 1.2830 8079 1.2378 8371 1.1946 4 57 7252 1.3789 7522 1.3295 7799 1.2822 8083 1.2371 8376 1.1939 3 58 7257 1.3781 7526 1.3287 7803 1.2815 8088 1.2364 8381 1.1932 2 59 7261 1.3772 7531 1.3278 7808 1.2807 8093 1.2356 8386 1.1925 1 60 7265 1.3764 7536 1.3270 7813 1.2799 8098 1.2349 8391 1.1918 o cot tan 64° cot tan 53° cot tan 62° cot tan 51° cot tan 50° __J t LI NATURAL TANGENTS AND COTANGENTS. 69 f 40° 41° 42° 43° 44° f tan cot tan cot tan cot tan cot tan cot 8391 1.1918 8693 1.1504 9004 1.1106 9325 1.0724 %57 1.0355 60 1 8396 1.1910 8698 1.1497 9009 1.1100 9331 1.0717 9663 1.0349 59 2 8401 1.1903 8703 1.1490 9015 1.1093 9336 1.0711 9668 1.0343 58 3 8406 1.18% 8708 1.1483 9020 1.1087 9341 1.0705 9674 1.0337 57 4 8411 1.1889 8713 1.1477 9025 1.1080 9347 1.0699 %79 1.0331 56 5 8416 1.1882 8718 1.1470 9030 1.1074 9352 1.0692 9685 1.0325 55 6 8421 1.1875 8724 1.1463 9036 1.1067 9358 1.0686 9691 1.0319 54 7 8426 1.1868 8729 1.1456 9041 1.1061 9363 1.0680 %% 1.0313 53 8 8431 1.1861 8734 1.1450 9046 1.1054 9369 1.0674 9702 1.0307 52 9 8436 1.1854 8739 1.1443 9052 1.1048 9374 1.0668 9708 1.0301 51 lO 8441 1.1847 8744 1.1436 9057 1.1041 9380 1.0661 9713 1.0295 60 11 8446 1.1840 8749 1.1430 9062 1.1035 9385 1.0655 9719 1.0289 49 12 8451 1.1833 8754 1.1423 9067 1.1028 9391 1.0649 9725 1.0283 48 13 8456 1.1826 8759 1.1416 9073 1.1022 9396 1.0643 9730 1.0277 47 14 8461 1.1819 8765 1.1410 9078 1.1016 9402 1.0637 9736 1.0271 46 15 8466 1.1812 8770 1.1403 9083 1.1009 9407 1.0630 9742 1.0265 46 16 8471 1.1806 8775 1.13% 9089 1.1003 9113 1.0624 9747 1.0259 44 17 8476 1.1799 8780 1.1389 9094 1.09% 9418 1.0618 9753 1.0253 43 18 8481 1.1792 8785 1.1383 9099 1.0990 9424 1.0612 9759 1.0247 42 19 8486 1.1785 8790 1.1376 9105 1.0983 9429 1.0606 9764 1.0241 41 20 8491 1.1778 8796 1.1369 9110 1.0977 9435 1.0599 9770 1.0235 40 21 8496 1.1771 8801 1.1363 9115 1.0971 9440 1.0593 9776 1.0230 39 22 8501 1.1764 8806 1.1356 9121 1.0964 9446 1.0587 9781 1.0224 38 23 8506 1.1757 8811 1.1349 9126 1.0958 9451 1.0581 9787 1.0218 37 24 8511 1.1750 8816 1.1343 9131 1.0951 9457 1.0575 9793 1.0212 36 25 8516 1.1743 8821 1.1336 9137 1.0945 9462 1.0569 9798 1.0206 35 26 8521 1.1736 8827 1.1329 9142 1.0939 9468 1.0562 9804 1.0200 34 27 8526 1.1729 8832 1.1323 9147 1.0932 9473 1.0556 9810 1.0194 33 28 8531 1.1722 8837 1.1316 9153 1.0926 9479 1.0550 9816 1.0188 32 29 8536 1.1715 8842 1.1310 9158 1.0919 9484 1.0544 9821 1.0182 31 30 8541 1.1708 8847 1.1303 9163 1.0913 9490 1.0538 9827 1.0176 30 31 8546 1.1702 8852 1.12% 9169 1.0907 9495 1.0532 9833 1.0170 29 32 8551 1.1695 8858 1.1290 9174 1.0900 9501 1.0526 9838 1.0164 28 33 8556 1.1688 8863 1.1283 9179 1.0894 9506 1.0519. 9844 1.0158 27 34 8561 1.1681 8868 1.1276 9185 1.0888 9512 1.0513 9850 1.0152 26 35 8566 1.1674 8873 1.1270 9190 1.0881 9517 1.0507 9856 1.0147 25 36 8571 1.1667 8878 1.1263 9195 1.0875 9523 1.0501 9861 1.0141 24 37 8576 1.1660 8884 1.1257 9201 1.0869 9528 1.0495 9867 1.0135 23 38 8581 1.1653 8889 1.1250 9206 1.0862 9534 1.0489 9873 1.0129 22 39 8586 1.1647 8894 1.1243 9212 1.0856 9540 1.0483 9879 1.0123 21 40 8591 1.1640 8899 1.1237 9217 1.0850 9545 1.0477 9884 1.0117 20 41 8596 1.1633 8904 1.1230 9222 1.0843 9551 1.0470 9890 1.0111 19 42 8601 1.1626 8910 1.1224 9228 1.0837 9556 1.0464 98% 1.0105 18 43 8606 1.1619 8915 L1217 9233 1.0831 9562 1.0458 9902 1.0099 17 44 8611 1.1612 8920 i.1211 9239 1.0824 9567 1.0452 9907 1.0094 16 45 8617 U606 8925 1.1204 9244 1.0818 9573 1.0446 9913 1.0088 15 46 8622 1.1599 8931 1.1197 9249 1.0812 9578 1.0440 9919 1.0082 14 « 0% 47 8627 1.1592 8936 1.1191 9255 1.0805 9584 l.(H34 9925 1.0076 13 48 8632 1.1585 8941 1.1184 9260 1.0799 9590 1.0428 9930 1.0070 12 49 8637 1.1578 8946 1.1178 9266 1.0793 9595 1.0422 9936 1.0064 11 50 8642 1.1571 8952 1.1171 9271 1.0786 9601 1.0416 9942 1.0058 lO 51 8647 1.1565 8957 1.1165 9276 1.0780 9606 1.0410 9948 1.0052 9 52 8652 1.1558 8%2 1.1158 9282 1.0774 %12 1.0404 9954 1.0047 8 53 8657 1.1551 8967 1.M52 9287 1.0768 %18 1.0398 9959 1.0041 7 54 8662 1.1544 8972 1.1145 9293 1.0761 %23 1.0392 9%5 1.0035 6 56 8667 1.1538 8978 1.1139 9298 1.0755 %29 1.0385 9971 1.0029 5 56 8672 1.1531 8983 1.1132 9303 1.0749 %34 1.0379 9977 1.0023 4 4* 57 8678 1.1524 8988 1.1126 9309 1.0742 9640 1.0373 9983 1.0017 3 58 8683 L1517 8994 L1119 9314 1.0736 9646 1.0367 9988 1.0012 2 59 8688 1.1510 8999 1.1113 9320 1.0730 %51 1.0361 9994 1.0006 1 eo 8693 1.1504 9004 1.1106 9325 1.0724 9657 1.0355 1.000 1.0000 O f cot tan 49° cot tan 48° cot tan 47° cot tan 46° cot tan 46° r 70 TABLE VII.-TKAVEKSE TABLE. I i BeariDg. Distance 1. Distance 2. Distance 3. Distance 4. Distance 5. Bearing. o f Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. f 015 1.000 0.0(H 2.000 0.009 3.000 O.OU 4.000 0.017 5.000 0.022 89 45 30 1.000 0.009 2.000 0.017 3.000 0.026 4.000 0.035 5.000 O.OH 30 45 1.000 0.013 2.000 0.026 3.000 0.039 4.000 0.052 5.000 0.065 15 1 1.000 0.017 2.000 0.035 3.000 0.052 3.999 0.070 4.999 0.087 89 15 1.000 0.022 2.000 0.044 2.999 0.065 3.999 0.087 4.999 0.109 45 30 1.000 0.026 1.999 0.052 2.999 0.079 3.999 0.105 4.998 0.131 30 45 1.000 0.031 1.999 0.061 2.999 0.092 3.998 0.122 4.998 0.153 15 2 0.999 0.035 1.999 0.070 2.998 0.105 3.998 0.140 4.997 0.174 88 15 0.999 0.039 1.998 0.079 2.998 0.118 3.997 0.157 4.9% 0.1% 45 30 0.999 O.OH 1.998 0.087 2.997 0.131 3.9% 0.174 4.995 0.218 30 45 0.999 0.(H8 1.998 0.0% 2.997 0.144 3.995 0.192 4.994 0.240 15 3 0.999 0.052 1.997 0.105 2.9% 0.157 3.995 0.209 4.993 0.262 87 15 0.998 0.057 1.997 0.113 2.995 0.170 3.994 0.227 4.992 0.283 45 30 0.998 0.061 1.9% 0.122 2.994 0.183 3.993 0.244 4.991 0.305 30 45 0.998 0.065 1.9% 0.131 2.994 0.1% 3.991 0.262 4.989 0.327 15 4 0.998 0.070 1.995 0.140 2.993 0.209 3.990 0.279 4.988 0.349 86 15 0.997 0.074 1.995 0.148 2.992 0.222 3.989 0.2% 4.986 0.371 45 30 0.997 0078 1.994 0.157 2.991 0.235 3.988 0.314 4.985 0.392 30 45 0.997 0.083 1.993 0.166 2.990 0.248 3.986 0.331 4.983 0.414 15 5 0.9% 0.087 1.992 0.174 2.989 0.261 3.985 0.349 4.981 0.436 85 15 0.9% 0.092 1.992 0.183 2.987 0.275 3.983 0.366 4.979 0.458 45 30 0.995 0.0% 1.991 0.192 2.986 0.288 3.982 0.383 4.977 0.479 30 45 0.995 0.100 1.990 0.200 2.985 0.301 3.980 0.401 4.975 0.501 15 6 0.995 0.105 1.989 0.209 2.984 0.314 3.978 0.418 4.973 0.523 84 15 0.994 0.109 1.988 0.218 2.982 0.327 3.976 0.435 4.970 0.544 45 30 0.994 0.113 1.987 0.226 2.981 0.340 3.974 0.453 4.968 0.566 30 45 0.993 0.118 1.986 0.235 2.979 0.353 3.972 0.470 4.%5 0.588 15 7 0.993 0.122 1.985 0.244 2.978 0.366 3.970 0.487 4.963 0.609 83 15 0.992 0.126 1.984 0.252 2.976 0.379 3.968 0.505 4.960 0.631 45 30 0.991 0.131 1.983 0.261 2.974 0.392 3.966 0.522 4.957 0.653 30 45 0.991 0.135 1.982 0.270 2.973 0.405 3.963 0.539 4.954 0.674 15 8 0.990 0.139 1.981 0.278 2.971 0.418 3.%1 0.557 4.951 0.6% 82 15 0.990 0.143 1.979 0.287 2.%9 0.430 3.959 0574 4.948 0.717 45 30 0.989 0.148 1.978 0.2% 2.%7 0.443 3.956 0.591 4.945 0.739 30 45 0.988 0.152 1.977 0304 2.%5 0.456 3.953 0.608 4.942 0.761 15 9 0.988 0.156 1.975 0.313 2.963 0.469 3.951 0.626 4.938 0.782 81 15 0.987 0.161 1.974 0.321 2.%1 0.482 3.948 0.643 4.935 0.804 45 30 0.986 0.165 1.973 0.330 2.959 0.495 3.945 0.660 4.931 0.825 30 45 0.986 0.169 1.971 0.339 2.957 0.508 3.942 0.677 4.928 0.847 15 lO 0.985 0174 1.970 0.347 2.954 0.521 3.939 0.695 4.924 0.868 80 15 0.984 0.178 1.968 0.356 2.952 0.534 3.936 0.712 4.920 0.890 45 30 0.983 0.182 l.%7 0.364 2.950 0.547 3.933 0.729 4.916 0.911 30 45 0.982 0187 l.%5 0.373 2.947 0.560 3.930 0.746 4.912 0.933 15 11 0.982 0.191 l.%3 0.382 2.945 0.572 3.927 0.763 4.908 0.954 79 15 0.981 0.195 l.%2 0.390 2.942 0.585 3.923 0.780 4.904 0.975 45 30 0.980 0.199 1.960 0.399 2.940 0.598 3.920 0.797 4.900 0.997 30 45 0.979 0.204 1.958 0.407 2.937 611 3.916 0.815 4.895 1.018 15 12 0.978 0.208 1.956 0.416 2.934 0624 3.913 0.832 4.891 l.CHO 78 15 0.977 0.212 1.954 0.424 2.932 0.637 3.909 0.849 4.886 1.061 45 30 0.976 0.216 1.953 0.433 2.929 0.649 3.905 0.866 4.881 1.082 30 45 0.975 0.221 1.951 0.441 2.926 0.662 3.901 0.883 4.877 1.103 15 13 0.974 0225 1.949 0.450 2.923 0.675 3.897 0.900 4.872 1.125 77 15 0.973 0229 1.947 0.458 2.920 0.688 3.894 0.917 4.867 1.146 45 30 0.972 0.233 1.945 0.467 2.917 0.700 3.889 0.934 4.862 1.167 30 45 0.971 0.238 1.943 0.475 2.914 0.713 3.885 0.951 4.857 1.188 IS 14 0.970 0.242 1.941 0.484 2.911 0.726 3.881 0.968 4.851 1.210 76 15 0.%9 0.246 1.938 0.492 2.908 0.738 3.877 0.985 4.846 1.231 45 30 0.968 0.250 1.936 0.501 2.9(H 0.751 3.873 1.002 4.841 1.252 30 45 0.%7 0.255 1.934 0.509 2.901 0.764 3.868 1.018 4.835 1.273 15 16 0.966 0.259 1.932 0.518 2.898 0.776 3.864 1.035 4.830 1.294 76 O f Dep. Lat. Distance 1. Dep. Lat. Dep. Lat. Distance 3. Dep. Lat. Distance 4. Dep. Lat. o ; Bearing. Distance 2. Distance 5. Bearing, 76°-9(r o°- -16° 71 Bearing. Distance 6. Distance 7. Distance 8. Distance 9. Distance 10. Bearing. o f Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. o / 015 6.000 0.026 7.000 0.031 8.000 0.035 9.000 0.039 10.000 0.044 89 45 30 6.000 0.052 7.000 0.061 8.000 0.070 9.000 0.079 10.000 0.087 30 45 5.999 0.079 6.999 0.092 7.999 0.105 8.999 0.118 9.999 0.131 15 1 5.999 0.105 6.999 0.122 7.999 0.140 8.999 0.157 9.999 0.175 89 15 5.999 0.131 6.998 0.153 7.998 0.175 8.998 0.196 9.998 0.218 45 30 5.998 0.157 6.998 0.183 7.997 0.209 8.997 0.236 9.997 0.262 30 45 5.997 0.183 6.997 0.214 7.996 0.244 8.9% 0.275 9.995 0.305 15 2 5.996 0.209 6.996 0.244 7.995 0.279 8.995 0.314 9.994 0.349 88 15 5.995 0.236 6.995 0.275 7.994 0.314 8.993 0.353 9.992 0.393 45 30 5.994 0.262 6.993 0.305 7.992 0.349 8.991 0.393 9.991 0.436 30 45 5.993 0.288 6.992 0.336 7.991 0.384 8.990 0.432 9.989 0.480 15 3 5.992 0.314 6.990 0.366 7.989 0.419 8.988 0.471 9.986 0.523 87 15 5.990 0.340 6.989 0.397 7.987 0.454 8.986 0.510 9.984 0.567 45 30 5.989 0.366 6.987 0.427 7.985 0.488 8.983 0.549 9.981 0.611 30 45 5.987 0.392 6.985 0.458 7.983 0.523 8.981 0.589 9.979 0.654 15 4 5.985 0.419 6.983 0.488 7.981 0.558 8.978 0.628 9.976 0.698 86 15 5.984 0.445 6.981 0.519 7.978 0.593 8.975 0.667 9.973 0.741 45 30 5.982 0.471 6.978 0.549 7.975 0.628 8.972 0.706 9.%9 0.785 30 45 5.979 0.497 6.976 0.580 7.973 0.662 8.%9 0.745 9.966 0.828 15 6 5.977 0.523 6.973 0.610 7.970 0.697 8.966 0.784 9.%2 0.872 86 15 5.975 0.549 6.971 0.641 7.966 0.732 8.%2 0.824 9.958 0.915 45 30 5.972 0.575 6.968 0.671 7.%3 0.767 8.959 0.863 9.954 0.959 30 45 5.970 0.601 6.%5 0.701 7.960 0.802 8.955 0.902 9.950 1.002 15 6 5.%7 0.627 6.%2 0.732 7.956 0.836 8.951 0.941 9.945 1.045 84 IS 5.964 0.653 6.958 0.762 7.952 0.871 8.947 0.980 9.941 1.089 • 45 30 5.%1 0.679 6.955 0.792 7.949 0.906 8.942 1.019 9.936 1.132 30 45 5.958 0.705 6.951 0.823 7.945 0.940 8.938 1.058 9.931 1.175 IS 7 5.955 0.731 6.948 0.853 7.940 0.975 8.933 1.097 9.926 1.219 83 15 5.952 0.757 6.944 0.883 7.936 1.010 8.928 1.136 9.920 1.262 45 30 5.949 0.783 6.940 0.914 7.932 1.044 8.923 1.175 9.914 1.305 30 45 5.945 0.809 6.936 0.944 7.927 1.079 8.918 1.214 9.909 1.349 15 8 5.942 0.835 6.932 0.974 7.922 1.113 8.912 1.253 9.903 1.392 82 15 5.938 0.861 6.928 1.004 7.917 1.148 8.907 1.291 9.897 1.435 45 30 5.934 0.887 6.923 1.035 7.912 1.182 8.901 1.330 9.890 1.478 30 45 5.930 0.913 6.919 1.065 7.907 1.217 8.895 1.369 9.884 1.521 15 9 5.926 0.939 6.914 1.095 7.902 1.251 8.889 1.408 9.877 1.564 81 15 5.922 0.964 6.909 1.125 7.896 1.286 8.883 1.447 9.870 1.607 45 30 5.918 0.990 6.904 1.155 7.890 1.320 8.877 1.485 9.863 1.651 30 45 5.913 1.016 6.899 1.185 7.884 1.355 8.870 1.524 9.856 1.694 15 lO S.909 1.042 6.894 1.216 7.878 1.389 8.863 1.563 9.848 1.737 80 15 5.904 1.068 6.888 1.246 7.872 1.424 8.856 1.601 9.840 1.779 45 30 5.900 1.093 6.883 1.276 7.866 1.458 8.849 1.640 9.833 1.822 30 45 5.895 1.119 6.877 1.306 7.860 1.492 8.842 1.679 9.825 1.865 15 11 5.890 1.145 6.871 1.336 7.853 1.526 8.835 1.717 9.816 1.908 79 15 5.885 1.171 6.866 1.366 7.846 1.561 8.827 1.756 9.808 1.951 45 30 5.880 1.196 6.859 1.396 7.839 1.595 8.819 1.794 9.799 1.994 30 45 5.874 1.222 6.853 1.425 7.832 1.629 8.811 1.833 9.791 2.036 15 12 5.869 1.247 6.847 1.455 7.825 1.663 8.803 1.871 9.782 2.079 78 15 5.863 1.273 6.841 1.485 7.818 1.697 8.795 1.910 9.772 2.122 45 30 5.858 1.299 6.834 1.515 7.810 1.732 8.787 1.948 9.763 2.164 30 45 5.852 1.324 6.827 1.545 7.803 1.766 8.778 1.986 9.753 2.207 15 13 5.846 1.350 6.821 1.575 7.795 1.800 8.769 2.025 9.744 2.250 77 15 5.840 1.375 6.814 1.604 7.787 1.834 8.760 2.063 9.734 2.292 45 30 5.834 1.401 6.807 1.634 7.779 1.868 8.751 2.101 9.724 2.335 30 45 5.828 1.426 6.799 1.664 7.771 1.902 8.742 2.139 9.713 2.377 IS 14 5.822 1.452 6.792 1.693 7.762 1.935 8.733 2.177 9.703 2.419 76 15 5.815 1.477 6.785 1.723 7.754 l.%9 8.723 2.215 9.692 2.462 45 30 5.809 1.502 6.777 1.753 7.745 2.003 8.713 2.253 9.682 2.504 30 45 5.802 1.528 6.769 1.782 7.736 2.037 8.703 2.291 9.671 2.546 15 16 5.7% 1.553 6.761 1.812 7.727 2.071 8.693 2.329 9.659 2.588 76 o r Dep. Lat. Distance 6. Dep. Lat. Distance 7. Dep. Lat. Distance 8. Dep. Lat. Dep. Lat. O f Bearing. Distance 9. Distance 10. Bearing. 76° -9a 72 16° -30' I \n H Bearing. Distance 1. Distance 2. Distance 3. Distance 4. Distance 5. Bearing. O f Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. O f 1615 0.965 0.263 1.930 0.526 2.894 0.789 3.859 1.052 4.824 1.315 74 45 30 0.96+ 0.267 1.927 0.534 2.891 0.802 3.855 1.069 4.818 1.336 30 45 0.%2 0.271 1.925 0.543 2.887 0.814 3.850 1.086 4.812 1.357 15 16 0.%1 0.276 1.923 0.551 2.884 0.827 3.845 1.103 4.806 1.378 74 15 0.960 0.280 1.920 0.560 2.880 0.839 3.840 1.119 4.800 1.399 45 30 0.959 0.284 1.918 0.568 2.876 0.852 3.835 1.136 4.794 1.420 30 45 0.958 0.288 1.915 0.576 2.873 0.865 3.830 1.153 4.788 1.441 15 17 0.956 0.292 1.913 0.585 2.869 0.877 3.825 1.169 4.782 1.462 73 15 0.955 0.297 1.910 0.593 2.865 0.890 3.820 1.186 4.775 1.483 45 30 0.954 0.301 1.907 0.601 2.861 0.902 3.815 1.203 4.769 1.504 30 45 0.952 0.305 1.905 0.610 2.857 0.915 3.810 1.220 4.762 1.524 15 18 0.951 0.309 1.902 0.618 2.853 0.927 3.804 1.236 4.755 1.545 72 15 0.950 0.313 1.899 0.626 2.849 0.939 3.799 1.253 4.748 1.566 45 30 0.948 0.317 1.897 0.635 2.845 0.952 3.793 1.269 4.742 1.587 30 45 0.947 0.321 1.894 0.643 2.841 0.964 3.788 1.286 4.735 1.607 15 19 0.946 0.326 1.891 0.651 2.837 0.977 3.782 1.302 4.728 1.628 71 15 0.944 0.330 1.888 0.659 2.832 0.989 3.776 1.319 4.720 1.648 45 30 0.943 0.334 1.885 0.668 2.828 1.001 3.771 1.335 4.713 1.669 30 45 0.941 0.338 1.882 0.676 2.824 1.014 3.765 1.352 4.706 1.690 15 20 0.940 0.342 1.879 0.684 2.819 1.026 3.7.59 1.368 4.698 1.710 70 15 0.938 0.346 1.876 0692 2.815 1.038 3.753 1.384 4.691 1.731 45. 30 0.937 0.350 1.873 0.700 2.810 1.051 3.747 1.401 4.683 1.751 30 45 0.935 0.354 1.870 0.709 2.805 1.063 3.741 1.417 4.676 1.771 15 21 0.934 0.358 1.867 0.717 2.801 1.075 3.734 1.433 4.668 1.792 69 15 0.932 0.362 1.864 0.725 2.7% 1.087 3.728 1.450 4.660 1.812 45 30 0.930 0367 1.861 0.733 2.791 1.100 3.722 1.466 4.652 1.833 30 45 0.929 0.371 1.858 0.741 2.786 1.112 3.715 1.482 4.644 1.853 15 22 0.927 0.375 1.854 0.749 2.782 1.124 3.709 1.498 4.636 1.873 68 15 0.926 0.379 1.851 0.757 2.777 1.136 3.702 1.515 4.628 1.893 45 30 0.924 0.38^ 1.848 0.765 2.772 1.148 3.6% 1.531 4.619 1.913 30 45 0.922 0.387 1.844 0.773 2.767 1.160 3.689 1.547 4.611 1.934 15 23 0.921 0.391 1.841 0.781 2.762 1.172 3.682 1.563 4.603 1.954 67 15 0.919 0.395 1.838 0.789 2.756 1.184 3.675 1.579 4.594 1.974 45 30 0.917 0.399 1.834 0.797 2.751 1.1% 3.668 1.595 4.585 1.994 30 45 0.915 0.403 1.831 0.805 2.746 1.208 3.661 1.611 4.577 2.014 15 24 0.914 0.407 1.827 0.813 2.741 1.220 3.654 1.627 4.568 2.034 66 15 0.912 0.411 1.824 0.821 2.735 1.232 3.647 1.643 4.559 2.054 45 30 0.910 0.415 1.820 0.829 2.730 1.244 3.640 1.659 4.550 2.073 30 45 0.908 0.419 1.816 0.837 2.724 1.256 3.633 1.675 4.541 2.093 15 25 0.906 0.423 1.813 0.845 2.719 1.268 3.625 1.690 4.532 2.113 65 15 0.90+ 0.427 1.809 0.853 2.713 1.280 3.618 1.706 4.522 2.133 45 30 0.903 0.431 1.805 0.861 2.708 1.292 3.610 1.722 4.513 2.153 30 45 0.901 0.434 1.801 0.869 2.702 1.303 3.603 1.738 4.503 2.172 15 26 0.899 0.438 1.798 0.877 2.6% 1.315 3.595 1.753 4.494 2.192 64 15 0.897 0.442 1.794 0.885 2.691 1.327 3.587 1.769 4.484 2.211 45 30 0.895 0.446 1.790 892 2.685 1.339 3.580 1.785 4.475 2.231 30 45 0.893 0.450 1.786 0.900 2.679 1.350 3.572 1.800 4.465 2.250 15 27 0.891 0.454 1.782 0.908 2.673 1.362 3.564 1.816 4.455 2.270 63 15 0.889 0.458 1.778 0.916 2.667 1.374 3.556 1.831 4.445 2.289 45 30 0.8S7 0.462 1.774 0.923 2.661 U85 3.548 1.847 4.435 2.309 30 45 0.885 0.466 1.770 0.931 2.655 1.397 3.540 1.862 4.425 2.328 15 28 0.883 0.469 1.766 0.939 2.649 1.408 3.532 1.878 4.415 2.347 62 15 0.881 0.473 1.762 0.947 2.643 1.420 3.524 1.893 4.404 2.367 .45 30 0.879 0.477 1.758 0.954 2.636 1.431 3.515 1.909 4.394 2.386 30 45 0.877 0.481 1.753 0.%2 2.630 1.443 3.507 1.924 4.384 2.405 15 29 0.875 0.485 1.749 0.970 2.624 1.454 3.498 1.939 4.373 2.424 61 15 0.872 0.489 1.745 0.977 2.617 1.466 3.490 1.954 4.362 2.443 45 30 0.870 0.492 1.741 0.985 2.611 1.477 3.481 1.970 4.352 2.462 30 45 0.868 0.4% 1.736 0.992 2.605 1.489 3.473 1.985 4.341 2.481 15 30 0.866 0.500 1.732 1.000 2.598 1.500 3.464 2.000 4.330 2.500 60 O f Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. o / Bearing. Distance 1. Distance 2. Distance 3. Distance 4. Distance 5. Bearing. 16° -30' 73 Bearing. Distance 6. Distance 7. Distance 8. Distance 9. Distance 10. Bearing. o f Lat. Dep, Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. O f 15 15 5.789 1.578 6.754 1.841 7.718 2.104 8.683 2.367 9.648 2.630 74 45 30 5.782 1.603 6.745 1.871 7.709 2.138 8.673 2.405 9.636 2.672 30 45 5.775 1.629 6.737 1.900 7.700 2.172 8.662 2.443 9.625 2.714 15 16 5.768 1.654 6.729 1.929 7.690 2.205 8.651 2.481 9.613 2.756 74 15 5.760 1.679 6.720 1.959 7.680 2.239 8.640 2.518 9.601 2.798 45 30 5.753 1.704 6.712 1.988 7.671 2.272 8.629 2.556 9.588 2.840 30 45 5.745 1.729 6.703 2.017 7.661 2.306 8.618 2.594 9.576 2.882 15 17 5.738 1.754 6.694 2.0+7 7.650 2.339 8.607 2.631 9.563 2.924 73 15 5.730 1.779 6.685 2.076 7.6+0 2.372 8.595 2.669 9.550 2.%5 45 30 5.722 1.804 6.676 2.105 7.630 2.406 8.583 2.706 9.537 3.007 30 45 5.714 1.829 6.667 2.134 7.619 2.439 8.572 2.744 9.524 3.049 15 18 5.706 1.854 6.657 2.163 7.608 2.472 8.560 2.781 9.511 3.090 72 15 5.698 1.879 6.6+8 2.192 7.598 2.505 8.547 2.818 9.497 3.132 45 30 5.690 1.90+ 6.638 2.221 7.587 2.538 8.535 2.856 9.483 3.173 30 45 5.682 1.929 6.629 2.250 7.575 2.572 8.522 2.893 9.469 3.214 15 19 5.673 1.953 6.619 2.279 7.564 2.605 8.510 2.930 9.455 3.256 71 15 5.665 1.978 6.609 2.308 7.553 2.638 8.497 2.%7 9.441 3.297 45 30 5.656 2.003 6.598 2.337 7.541 2.670 8.484 3.004 9.426 3.338 30 45 5.647 2.028 6.588 2.365 7.529 2.703 8.471 3.041 9.412 3.379 15 20 5.638 2.052 6.578 2.394 7.518 2.736 8.457 3.078 9.397 3.420 70 IS 5.629 2.077 6.567 2.423 7.506 2.769 8.444 3.115 9.382 3.461 45 30 5.620 2.101 6.557 2.451 7.493 2.S02 8.430 3.152 9367 3.502 30 45 5.611 2.126 6.5+6 2.480 7.481 2.834 8.416 3.189 9.351 3.543 15 21 5.601 2.150 6.535 2.509 7.469 2.867 8.402 3.225 9.336 3.584 69 15 5.592 2.175 6.524 2.537 7.456 2.900 8.388 3.262 9.320 3.624 45 30 5.582 2.199 6.513 2.566 7.443 2.932 8.374 3.299 9.304 3.665 30 45 5.573 2.223 6.502 2.594 7.430 2.964 8.359 3.335 9.288 3.706 15 22 5.563 2.2+8 6.490 2.622 7.417 2.997 8.345 3.371 9.272 3.746 68 15 5.553 2.272 6.479 2.651 7.404 3.029 8.330 3.408 9.255 3.787 45 30 5.543 2.296 6.467 2.679 7.391 3.061 8.315 3.444 9.239 3.827 30 45 5.533 2.320 6.455 2.707 7.378 3.094 8.300 3.480 9.222 3.867 15 23 5.523 2.344 6.444 2.735 7.364 3.126 8.285 3.517 9.205 3.907 67 15 5.513 2.368 6.432 2.763 7.350 3.158 8.269 3.553 9.188 3.947 45 30 5.502 2.392 6.419 2.791 7.336 3.190 8.254 3.589 9.171 3.988 30 45 5.492 2.416 6.407 2.819 7.322 3.222 8.238 3.625 9.153 4.028 15 24 5.481 2.440 6.395 2.847 7.308 3.254 8.222 3.661 9.136 4.067 66 IS 5.471 2.464 6.382 2.875 7.294 3.286 8.206 3.6% 9.118 4.107 45 30 5.460 2.488 6.370 2.903 7.280 3.318 8.190 3.732 9.100 4.147 30 45 5.449 2.512 6.357 2.931 7.265 3.349 8.173 3.768 9.081 4.187 IS 25 5.438 2.536 6.344 2.958 7.250 3.381 8.157 3.804 9.063 4.226 65 15 5.427 2.559 6.331 2.986 7.236 3.413 8.140 3.839 9.0+5 4.266 45 30 5.416 2.583 6.318 3.014 7.221 3.444 8.123 3.875 9.026 4.305 30 45 5.404 2.607 6.305 3.041 7.206 3.476 8.106 3.910 9.007 4.345 15 26 5.393 2.630 6.292 3.069 7.190 3.507 8.089 3.945 8.988 4.384 64 15 5.381 2.654 6.278 3.0% 7.175 3.538 8.072 3.981 8.%9 4.423 45 30 5.370 2.677 6.265 3.123 7.160 3.570 8.054 4.016 8.949 4.462 30 45 5.358 2.701 6.251 3.151 7.144 3.601 8.037 4.051 8.930 4.501 15 27 5.346 2.724 6.237 3.178 7.128 3.632 8.019 4.086 8.910 4.5+0 63 15 5.334 2.747 6.223 3.205 7.112 3.663 8.001 4.121 8.890 4.579 45 30 5.322 2.770 6.209 3.232 7.096 3.694 7.983 4.156 8.870 4.618 30 45 5.310 2.794 6.195 3.259 7.080 3.725 7.%5 4.190 8.850 4.656 15 28 5.298 2.817 6.181 3.286 7.064 3.756 7.947 4.225 8.829 4.695 62 15 5.285 2.8+0 6.166 3.313 7.047 3.787 7.928 4.260 8.809 4.733 45 30 5.273 2.863 6.152 3.340 7.031 3.817 7.909 4.294 8.788 4.772 30 45 5.260 2.886 6.137 3.367 7.014 3.8+8 7.891 4.329 8.767 4.810 15 29 5.248 2.909 6.122 3.394 6.997 3.878 7.872 4.363 8.746 4.8+8 61 15 5.235 2.932 6.107 3.420 6.980 3.909 7.852 4.398 8.725 +.886 45 30 5.222 2.955 6.093 3.447 6.963 3.939 7.833 4.432 8.704 4.924 30 45 5.209 2.977 6.077 3.474 6.946 3.970 7.814 4.466 8.682 4.%2 15 30 5.1% 3.000 6.062 3.500 6.928 4.000 7.794 4.500 8.660 5.000 60 O f Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. O f Bearing. Distance 6. Distance 7* Distance 8. Distance 9. Distance 10. Bearing. 60° -76 o 60° -76^ * i (' 74 30°- -46 Bearing. Distance 1. Distance 2. Distance 3. Distance 4. Distance 5. Bearing. o ' f Lat. Dep. Lat. Dep. Lat Dep. Lat. Dep. Lat. Dep. O f 3015 0.864 0.504 1.728 1.008 2.592 1.511 3.455 2.015 4.319 2.519 59 45 30 0.862 0.508 1.723 1.D15 2.585 1.523 3.447 2.030 4.308 2.538 30 45 0.859 0.511 1.719 1.023 2.578 1.534 3.438 2.045 4.297 2.556 15 31 0.857 0.515 1.714 1.030 2.572 1.545 3.429 2.060 4.286 2.575 59 15 0.855 0.519 1.710 1.038 2.565 1.556 3.420 2.075 4.275 2.594 45 30 0.853 0.522 1.705 1.045 2.558 1.567 3.411 2.090 4.263 2.612 30 45 0.850 0.526 1.701 1.052 2.551 1.579 3.401 2.105 4.252 2.631 15 32 0.848 0.530 1.6% 1.060 2.544 1.590 3.392 2.120 4.240 2.650 58 15 0.846 0.534 1.691 1.067 2.537 1.601 3.383 2.134 4.229 2.668 45 30 0.843 0.537 1.687 1.075 2.530 1.612 3.374 2.149 4.217 2.686 30 45 0.841 0.541 1.682 1.082 2.523 1.623 3.364 2.164 4.205 2.705 15 33 0.839 0.545 1.677 1.089 2.516 1.634 3.355 2.179 4.193 2.723 57 15 0.836 0.548 1.673 1.097 2.509 1.645 3.345 2.193 4.181 2.741 45 30 0.834 0.552 1.668 1.104 2.502 1.656 3.336 2.208 4.169 2.760 30 45 0.831 0.556 1.663 1.111 2.494 1.667 3.326 2.222 4.157 2.778 15 34 0.829 0.559 1.658 1.118 2.487 1.678 3.316 2.237 4.145 2.7% 56 15 0.827 0.563 1.653 1.126 2.480 1.688 3.306 2.251 4.133 2.814 45 30 0.824 0.566 1.618 1.133 2.472 1.699 3.297 2.266 4.121 2.832 30 45 0.822 0.570 1.643 1.140 2.465 1.710 3.287 2.280 4.108 2.850 15 35 0.819 0.574 1.638 1.147 2.457 1.721 3.277 2.294 4.0% 2.868 55 15 0.817 0.577 1.633 1.154 2.450 1.731 3.267 2.309 4.083 2.886 45 30 0.814 0.581 1.628 1.161 2.442 1.742 3.257 2.323 4.071 2.904 30 45 0.812 0.584 1.623 1.168 2.435 1.753 3.246 2.337 4.058 2.921 15 36 0.809 0.588 1.618 1.176 2.427 1.763 3.236 2.351 4.045 2.939 54 15 0.806 0.591 1.613 1.183 2.419 1.774 3.226 2.365 4.032 2.957 45 30 0.804 0.595 1.608 1.190 2.412 1.784 3.215 2.379 4.019 2.974 30 45 0.801 0.598 1.603 1.197 2.404 1.795 3.205 2.393 4.006 2.992 15 37 0.799 0.602 1.597 1.204 2.3% 1.805 3.195 2.407 3.993 3.009 53 15 07% 0.605 1.592 1.211 2.388 1.816 3.184 2.421 3.980 3.026 45 30 0.793 0.609 1.587 1.218 2.380 1.826 3.173 2.435 3.%7 3.044 30 45 0.791 0.612 1.581 1.224 2.372 1.837 3.163 2.449 3.953 3.061 15 38 0.788 0.616 1.576 1.231 2.364 1.847 3.152 2.463 3.940 3.078 52 15 0.785 0.619 1.571 1.238 2.356 1.857 3.141 2.476 3.927 3.095 45 30 0.783 0.623 1.565 1.245 2.348 1.868 3.130 2.490 3.913 3.113 30 45 0.780 0.626 1.560 1.252 2.340 1.878 3.120 2.504 3.899 3.130 15 39 0.777 0.629 1.554 1.259 2331 1.888 3.109 2.517 3.886 3.147 51 15 0.774 0.633 1.549 1.265 2.323 1.898 3.098 2.531 3.872 3.164 45 30 0.772 0.636 1.543 1.272 2.315 1.908 3.086 2.544 3.858 3.180 30 45 0.769 0.639 1.538 1.279 2.307 1.918 3.075 2.558 3.844 3.197 15 40 0.766 0.643 1.532 1.286 2.298 1.928 3.064 2.571 3.830 3.214 50 15 0.763 0.6+6 1.526 1.292 2.290 1.938 3.053 2.584 3.816 3.231 45 30 0.760 0.649 1.521 1.299 2.281 1.948 3.042 2.598 3.802 3.247 30 45 0.758 0.653 1.515 1.306 2.273 1.958 3.030 2.611 3.788 3.264 15 41 0.755 0.656 1.509 1.312 2.264 1.968 3.019 2.624 3.774 3.280 49 15 0.752 0.659 1.504 1.319 2.256 1.978 3.007 2.637 3.759 3.297 45 30 0.749 0.663 1.498 1325 2.247 1.988 2.9% 2.650 3.745 3.313 30 45 0.746 0.666 1.492 1.332 2.238 1.998 2.984 2.664 3.730 3.329 15 42 0.743 0.669 1.486 1.338 2.229 2.007 2.973 2.677 3.716 3.346 48 15 0.740 0.672 1.480 1.345 2.221 2.017 2.%1 2.689 3.701 3.362 45 30 0.737 0.676 1.475 1.351 2.212 2.027 2.949 2.702 3.686 3.378 30 45 0.734 0.679 1.469 1.358 2.203 2.036 2.937 2.715 3.672 3394 15 43 0.731 0.682 1.463 1.364 2.194 2.046 2.925 2.728 3,657 3.410 47 15 0.728 0.685 1.457 1.370 2.185 2.056 2.913 2.741 3.642 3.426 45 30 0.725 0.688 1.451 1.377 2.176 2.065 2.901 2.753 3.627 3.442 30 45 0.722 0.692 1.445 1.383 2.167 2.075 2.889 2.766 3.612 3.458 15 44 0.719 0.695 1.439 1.389 2.158 2.084 2.877 2.779 3.597 3.473 46 15 0.716 0.698 1.433 1.3% 2.149 2.093 2.865 2.791 3.582 3.489 45 30 0.713 0.701 1.427 1.402 2.140 2.103 2.853 2.804 3.566 3.505 30 45 0.710 0.704 1.420 1.408 2.131 2.112 2.841 2.816 3.551 3.520 15 45 0.707 0.707 1.414 1.414 2.121 2.121 2.828 2.828 3.536 3.536 45 f Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. O f Bearing. Distance 1. Distance 2. Distance 3. Distance 4. Distance 5. Bearing. 46° -60' k 30°- -46 o 75 Bearing. Distance 6. Distance 7* Distance 8. Distance 9. Distance 10. Bearing. o f Lat. Dep, Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. o t 3015 5.183 3.023 6.047 3.526 6.911 4.030 7.775 4.534 8.638 5.038 59 45 30 5.170 3.045 6.031 3.553 6893 4.060 7.755 4.568 8.616 5.075 30 45 5.156 3.068 6.016 3.579 6875 4.090 7.735 4.602 8.594 5.113 15 31 5.143 3.090 6.000 3.605 6857 4.120 7.715 4.635 8.572 5.150 59 15 5.129 3.113 5.984 3.631 6839 4.150 7.694 4.669 8.549 5.188 45 30 5.116 3.135 5.968 3.657 6.821 4.180 7.674 4.702 8.526 5.225 30 • 45 5.102 3.157 5.952 3.683 6.803 4.210 7.653 4.736 8.504 5.262 15 32 5.088 3.180 5.936 3.709 6784 4.239 7.632 4.769 8.481 5.299 58 15 5.074 3.202 5.920 3.735 6766 4.269 7.612 4.802 8.457 5336 45 30 5.060 3.224 5.904 3.761 6747 4.298 7.591 4.836 8.434 5373 30 45 5.046 3.246 5.887 3.787 6.728 4328 7.569 4.869 8.410 5.410 15 33 5.032 3.268 5.871 3.812 6.709 4357 7.548 4.902 8.387 5.446 57 15 5.018 3.290 5.854 3.838 6.690 4386 7.527 4.935 8.363 5.483 45 30 5.003 3312 5.837 3.864 6.671 4.416 7.505 4.%7 8339 5.519 30 45 4.989 3.333 5.820 3.889 6.652 4.445 7.483 5.000 8315 5.556 15 34 4.974 3355 5.803 3.914 6632 4.474 7.461 5.033 8.290 5.592 56 15 4.960 3.377 5.786 3.940 6613 4.502 7.439 5.065 8.266 5.628 45 30 4.945 3398 5.769 3.965 6593 4.531 7.417 5.098 8.241 5.664 30 45 4.930 3.420 5.752 3.990 6.573 4.560 7.395 5.130 8.217 5.700 15 35 4.915 3.441 5.734 4.015 6553 4.589 7372 5.162 8.192 5.736 55 15 4.900 3.463 5.716 4.040 6533 4.617 7350 5.194 8.166 5.772 45 30 4.885 3.484 5.699 4.065 6513 4.646 7327 5.226 8,141 5.807 30 45 4.869 3.505 5.681 4.090 6.493 4.674 7.304 5.258 8.116 5.843 IS 36 4.854 3.527 5.663 4.115 6472 4.702 7.281 5.290 8.090 5.878 54 15 4.839 3.548 5.645 4.139 6.452 4.730 7.258 5322 8.064 5.913 45 30 4.823 3.569 5.627 4.164 6.431 4.759 7.235 5.353 8.039 5.948 30 45 4.808 3.590 5.609 4.188 6.410 4.787 7.211 5.385 8.013 5.983 15 37 4.792 3.611 5.590 4.213 6.389 4.815 7.188 5.416 7.986 6018 63 15 4.776 3.632 5.572 4.237 6.368 4.842 7.164 5.448 7.960 6.053 45 30 4.760 3.653 5.554 4.261 6347 4.870 7.140 5.479 7.934 6.088 30 45 4.744 3.673 5.535 4.286 6.326 4.898 7.116 5.510 7.907 6122 15 38 4.728 3.694 5.516 4310 6304 4.925 7.092 5.541 7.880 6157 52 15 4.712 3.715 5.497 4334 6.283 4.953 7.068 5.572 7.853 6191 45 30 4.696 3.735 5.478 4358 6.261 4.980 7.043 5.603 7.826 6225 30 45 4.679 3.756 5.459 4381 6.239 5.007 7.019 5,633 7.799 6259 15 39 4.663 3.776 5.440 4.405 6217 5.035 6.994 5.664 7.772 6.293 51 IS 4.646 3.7% 5.421 4.429 6195 5.062 6.970 5.694 7.744 6327 45 30 4.630 3.816 5.401 4.453 6173 5.089 6.945 5.725 7.716 6.361 30 45 4.613 3.837 5.382 4.476 6151 5.116 6.920 5.755 7.688 6394 15 40 4.5% 3.857 5362 4.500 6128 5.142 6.894 5.785 7.660 6.428 50 15 4.579 3.877 5.343 4.523 6106 5.169 6.869 5.815 7.632 6.461 45 30 4.562 3.897 5.323 4.546 6.083 5.1% 6844 5.845 7.604 6.495 30 45 4.545 3.917 5.303 4.569 6.061 5.222 6.818 5.875 7.576 6528 15 41 4.528 3.936 5.283 4.592 6.038 5.248 6792 5.905 7.547 6561 49 15 4.511 3.956 5.263 4.615 6.015 5.275 6767 5.934 7.518 6594 45 30 4.494 3.976 5.243 4.638 5.992 5.301 6741 5.964 7.490 6.626 30 45 4.476 3.995 5.222 4.661 5.968 5.327 6715 5.993 7.461 6.659 15 42 4.459 4.015 5.202 4.684 5.945 5353 6.688 6022 7.431 6.691 48 15 4.441 4.034 5.182 4.707 5.922 5379 6.662 6.051 7.402 6724 45 30 4.424 4.054 5.161 4.729 5.898 5.405 6635 6.080 7373 6756 30 45 4.406 4.073 5.140 4.752 5.875 5.430 6.609 6109 7343 6788 15 43 4.388 4.092 5.119 4.774 5.851 5.456 6582 6138 7314 6820 47 15 4.370 4.111 5.099 4.796 5.827 5.481 6555 6167 7.284 6852 45 30 4352 4.130 5.078 4.818 5.803 5.507 6528 6195 7.254 6884 30 45 4.334 4.149 5.057 4.841 5.779 5.532 6501 6.224 7.224 6.915 IS 44 4316 4.168 5.035 4.863 5.755 5.557 6.474 6252 7.193 6947 46 15 4.298 4.187 5.014 4.885 5.730 5.582 6447 6.280 7.163 6.978 45 30 4.280 4.206 4.993 4.906 5.706 5.607 6.419 6.308 7.133 7.009 30 45 4.261 4.224 4.971 4.928 5.681 5.632 6392 6336 7.102 7.040 15 45 4.243 4.243 4.950 4.950 5.657 5.657 6.364 6.364 7.071 7.071 45 o f Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. o t Bearing. Distance 6. Distance 7. Distance 8. Distance 9. Distance 10. Bearing. 1 46° -60' Hi \ A TABLE OF THE ANGLES Which every Point and Quarter Point of the Compass makes with the Meridian. NortlL. Points. .-4 t II 2 48 45 5 37 30 8 26 15 11 15 Points. S:| South.. 1 N. by E. N.by W. S. by E. S. by W. N.N.E. N.N.^W. 1-% 1-J4 2 * 14 3 45 16 52 30 19 41 15 22 30 P S.S.E. S-S-W. N:E.byN. N.W.byN. 1:1 25 18 45 28 7 80 30 56 15 33 45 2 -1/4 2-% 3 S.E. by S. S.W. by S. N.E. N.W. 3-% 3-% 3-% 4 36 33 45 39 22 30 42 11 15 45 El S.E. S-TTV. N.E.byE. N.'W.by'W. 4-3^ 47 48 45 50 37 30 53 26 15 56 15 1^1 S.E. by E. S.W.byW. E.N.E. ■W-N.-W. 59 3 45 61 62 30 64 41 15 67 30 5-% 6-U 6 * E.S.E. w.s.-w. E. by N. W. by N. 6-14 6-% 7 70 18 45 73 7 30 75 56 15 78 46 i:| E. by S. W. by S. East. West. 7-% 81 33 45 84 22 30 87 11 15 90 11 East. "West. (: III ' ?R \ /vkH o/Ic-S'I. MAY 031994 COLUMBIA UNIVERSIT|r LIB]J{^^^^^ 0041417275 ^^^■^■■:. "%* *1" ! 3.-*:1 .** l-W^'' ..'•'■ f^- ■' ■'M .PR '^11,^ i>ra -v^ .iSi W^ .-.?■' 1^ I I 4 I =1 •'?i? ■^^^■^' END OF TITLE