i -co ANDARD FIELD TABLES GENERAL LAND OFFICE •*•*" ,_ GENERAL LAND OFFICE TABLES AND FORMULAS FOR THE USE OF U. S. SURVEYORS AND ENGINEERS ON PUBLIC LAND SURVEYS * A SUPPLEMENT TO THE MANUAL OF SURVEYING INSTRUCTIONS COMPILED UNDER THE DIRECTION OP FRED DENNETT ^ COMMISSIONER OP THE GENERAL LAND OFFICE WASHINGTON GOVERNMENT PRINTING OFFICT ~^t- n\ 1910 United States surveyors and engineers, and all others who may find it convenient to use the tables included in this volume, are requested to report to the Commissioner of the General Land Office, Washington, D. C., any errors detected in the tables as printed. CONTENTS. No. Page. 1. Units of linear measure, units of area expansion of steel tapes, and conver- sion tables chains to feet and feet to chains 5 2. RediK-tion in latitude to south boundary of township, and corrections for convergency within a township G 3. Traverse table, for the correction of random lines 7 4. Traverse tables 8 5. Correction of error in stadia wire interval 98 6. Stadia coefficients, vertical rod 99 7. Natural sines and cosines 106 8. Natural tangents and cotangents 115 9. Logarithmic sines, cosines, tangents, and cotangents 127 10. Logarithms of numbers 172 11. Convergency of meridians, and differences of latitude and longitude 199 12. Azimuths of the tangent to the parallel 200 13. Offsets from the tangent to the parallel 201 II. Azimuths of the secant 202 15. Offsets from the secant to the parallel 203 1C. Lengths of arcs of the earth's surface 204 17. Apparent time of sunrise and sunset 205 18. Conversion tables, degrees to time, and time to degrees 206 19. Sidereal conversions, and reductions to the local mean time of upper culmi- nation of Polaris 207 20. Mean refractions in zenith distance 208 21. Coefficients to apply to mean refractions for variations in barometer and temperature 209 22. Coefficients for computing errors in azimuth, due to small errors in declina- tion or latitude 210 23. Mean refractions in polar distance 211 24. Trigonometric formulas for the solution of plane triangles 218 25. Trigonometric formulas for the solution of stadia measurements, observa- tions for time, latitude, and azimuth, and problems in convergency 220 Standard Field Tables. TABLE 1.— UNITS OP MEASURE, ETC. UNITS OP LINEAR MEASURE. UNITS OP AREA. 1 chain - 100 links. = 66 feet. 1 mile = 80 chains. = 5,280 feet. 1 acre= 10 square chains. - 43,560 square feet. 1 square mile= 640 acres. EXPANSION OP STEEL TAPES. The coefficient of expansion of steel tapes= 0.0000065 for 1° F. CONVERSION TABLES. Chains to feet. Feet to chains. Feet to links. 1 1.5 2 3.0 3 4.5 4 6.1 5 7.6 6 9.1 7 10.6 8 9 10 15.2 TVlU.i: -2. — KKIHTTION IN LATITUDE TO SOITII BOUNDARY OF TOWNSHIP. Mi OS. 0 1 2 3 4 5 0 0.0 0.9 1.7 2.6 3.5 4.3 10 0.1 .0 1.8 2.7 3.6 4. 1 20 0.2 .1 2.0 2.8 3.7 4.6 30 0.3 .2 2.1 2.9 3.8 4.7 40 0.4 .3 2.2 3.0 3.9 4.8 50 0.5 .4 2.3 3.1 4.0 4.9 60 0.6 .5 2.4 3.2 4.1 5.0 70 0.8 .6 2.5 3.4 4.2 5.1 80 0.9 .7 2.6 3.5 4.3 5.2 CORRECTIONS FOR CONVERGENCY WITHIN A TOWNSHIP. Lat. Imi. 2 mi. 3 mi. 4 mi. 5 mi. 0 0 25 to 30 0 1 1 2 2 30 to 35 1 1 2 2 3 35 to 40 1 1 2 3 3 40 to 45 1 2 2 3 4 45 to 50 1 2 3 4 5 50 to 55 1 2 3 5 6 55 to 60 1 3 4 5 7 60 to 65 2 3 5 7 8 65 to 70 •_' 4 6 8 10 TV III I R THE CORRECTION OF RANDOM 0° j Discim-f in cl; U 10 20 30 40 50 60 70 80 00 1OO / Departure in links. 0 0.0 0.0 0.0 0.0 0.0 0.0 60 0.3 0.6 0.9 1.2 1.5 1.7 2.0 2.6 2.9 59 2 O.fi 1.2 1.7 2.3 3.5 4. 1 4.7 5.2 5.8 58 3 0.9 1.7 3.5 4.4 6.1 7.8 7.9 8.7 57 4 1.2 2.3 3.5 4.7 5.8 7.0 8.1 9.3 11.6 56 5 1.5 2.9 4.4 5.8 7.3 8.7 i:;. l 11.5 55 6 1.7 3.5 5.2 7.0 8.7 10.5 12.2 J4.0 ! 5. 7 17.5 54 7 2.0 4.1 8.1 10.2 12.2 20.4 53 8 2.3 4.7 7.0 9.3 11. (i 14.0 52 9 2.6 5.2 7.!» 13. 1 15.7 18.3 20.9 .M 10 2.9 5.8 11. fl 26.2 29.1 11 3.2 6.4 12.8 !<•,.(» 19.2 28.8 32.0 12 3.5 7.0 10.5 l t.;> 17.5 20.9 24.4 31.4 34.9 13 1.8 7.6 ! 1 . :-; i :,. i 18.9 37.8 47 14 4.1 8.1 40. 7 4(1 15 4.4 8.7 17.:, 30.5 45 10 4.7 9.3 14.0 4<:. :> 17 4.9 9.9 ll.s 44.5 4'.t. :> i.S n. 2 10.5 15.7 11.'. 47.1 42 19 5.5 11.1 16.0 || 5.8 11. « 1 7. :> LM. :i •_N. 1 58.2 6.1 12.2 18.3 3G.7 55.0 «'.!. 1 •-•-• 12.8 19:2 51.2 6.7 13.4 :M. i 40. 1 ISO. 2 .;.;. 'i 37 7.0 14-0 41.9 69.8 1 1. 5 50.0 58.2 35 26 I;D. r, 28 18.9 f>7. 0 73.3 29 8.4 59.0 67.5 75.9 30 8.7 i:.:, jr,. 2 .YJ. l C.l. 1 69. 8 9.0 18.0 64. J 81.2 90.2 29 9.3 55.8 66.3 83.8 28 9.6 19.2 7U. s :;i B.I 19.8 10.2 20.4 30.5 61. 1 71.8 81.4 101.8 tO.fi 20.9 31.4 41.9 83.8 14 37 21.5 43.1 53.8 107.6 38 11. 1 22. 1 88.4 110.5 U.3 34.0 7'». t 102. 1 40 11. .1 llf, 4 P -11 11.9 23.9 47.7 71. r, 107.3 110.0 -M 12.5 17 44 in • i:;. 1 117. N H 46 11 17 14.0 I 12 11 10 "I Us 29. 7 9 i:,. i l.V 1 60.5 7.V r. L21.0 8 15.4 77.1 154.2 7 54 17.1 110.0 in. t 6 1ft. 0 144.0 5 lll.o 4 3 Ui.'.i 2 59 1 17.5 34.9 I.-.7. 1 0 Klein links. 89* TABLE 4.— TRAVERSE TABLE. b sr K°. K*. ^°. 1 I Lat. Dep. Lat. Dep. Lat. Dep. I i 1.00 0.00 1.00 0.01 1.00 0.01 1 2 2.00 0.01 2.00 0.02 2.00 0.03 2 3 3.00 0.01 3.00 0.03 3.00 0.04 3 4 4.00 0.02 4.00 0.03 4.00 0.05 4 5 5.00 0.02 5.00 0.04 5.00 0.07 5 6 6.00 o. 0:5 6.00 0.05 6.00 0.08 6 7 7.00 0.03 7.00 0.06 7.00 0.09 7 8 8.00 0.03 8.00 0.07 8.00 0.10 8 9 9.00 0.04 9.00 0.08 9.00 0.12 9 10 10.00 0.04 10.00 0.09 10.00 0.13 10 11 11.00 0.05 11.00 0.10 11.00 0.14 11 12 12.00 0.05 12.00 0.10 12.00 0.16 12 13 13.00 0.06 13.00 0.11 13.00 0.17 13 14 14.00 0.06 14.00 0.12 14.00 0.18 14 15 15.00 0.07 15.00 0.13 15.00 0.20 15 16 16.00 0.07 16.00 0.14 16.00 0.21 16 17 17.00 0.07 17.00 0.15 17.00 0.22 17 18 18.00 0.08 18.00 0.16 18.00 0.24 18 19 19.00 0.08 19.00 0.17 19.00 0.25 19 20 20.00 0.09 20.00 0.17 20.00 0.26 20 21 21.00 0.09 21.00 0.18 21.00 0.27 21 22 •22. 00 0.10 22.00 0.19 22.00 0.29 22 23 23.00 0.10 23.00 0.20 23.00 0.30 23 24 24.00 0.10 24.00 0.21 24.00 0.31 24 25 25.00 0.11 25.00 0. '22 25.00 0.33 25 26 26.00 0.11 26.00 0.23 26.00 0.34 26 27 27.00 0.12 27.00 0.24 27.00 0.35 27 28 28.00 0.12 28.00 0.24 28.00 0.37 28 29 29.00 0.13 29.00 0.25 29.00 0.38 29 $ 30.00 0.13 30.00 0.26 30.00 0.39 30 31 31.00 0.14 31.00 0.27 31.00 0.41 31 32 32.00 0.14 32.00 0.28 32.00 0.42 32 33 33.00 0.14 33.00 0.29 33.00 0.43 33 34 54.00 0.15 34.00 0.30 34.00 0.45 34 35 35.00 0.15 35.00 0.31 35.00 0.46 35 36 36.00 0.16 36.00 0.31 36.00 0.47 36 37 37.00 0.16 37.00 0. 32 37.00 0.48 37 38 38.00 0.17 38.00 0.33 38.00 0.50 38 39 39.00 0.17 39.00 0.34 39.00 0.51 39 40 40.00 0.17 40.00 0.35 40.00 0.52 40 41 11. INI 0.18 41.00 0.36 41.00 0.54 41 42 42.00 0.18 42.00 o. 37 42.00 42 43 48.00 0.19 43.00 0.38 43.00 0. 5li 43 44 44.00 0.19 44.00 0.38 44.00 0. -iS •u 46 46.00 Q.M 45.00 0.39 45.00 0.59 ti 46 40.00 0.20 46.00 0.40 46.00 0.60 46 47 47.00 0.21 47.00 0.41 47.00 Q. 62 47 48 48.00 0.21 48.00 0.42 1S.OO 0.63 48 49 49.00 0.21 49.00 o. i:: 1't.W 49 50 50.00 0.22 SD.OQ 0.44 50.00 0.65 50 1 Dep. Lat. Dep. Lat. Dep. Lat. 1 I 89%'. 89^°. 8dX°. 5 TAIU.K 4. -TRAVERSE TABLE. 1 X -> H > K > 1 I Lat, Dep. Lat. Dep. Lat. Dep. 1 51 51.00 0.22 51.00 0.45 51.00 0.67 51 52 52.00 0.23 52.00 0.45 52.00 0.68 52 53 53.00 0.23 B.08 0.46 68.00 0.69 53 54 54.00 0. •_'.} 54.00 0.47 54.00 0.71 54 55 55.00 O.'-M IB. 00 0.48 55.00 0.72 55 0.91 5H.OO 0.49 56.00 0.73 56 57 57.00 0.25 57.00 0.50 57.00 0.75 57 58 58.00 0.25 58.00 0.51 57.88 0.76 58 50 50.00 0.26 59.00 0.51 58. M 0.77 59 GO 80.00 0.26 ,-n.m 0.52 59.99 0.79 60 61 61.00 0.27 61.00 0.53 60.99 0.80 61 62 62.00 0.27 62.00 0.54 81.09 0.81 63 0.00 0.27 (U. 00 0.55 0.82 63 64 (J.IK) 0.28 64. (X) 0.56 63.99 0.84 65 65.00 0.31 65.00 0.57 64.99 0.85 65 66 66.00 0.29 66.00 0.58 65.99 0.86 67 67.00 0.29 67.00 0.58 88.08 0.88 67 68 88,00 0.30 68.00 0.59 67.99 0.89 68 • 80.00 0.30 69.00 0.60 68, '.>'.) 0.90 69 70 70.00 0.31 70.00 0.61 69.99 0.92 70 71 71.00 0.31 71.00 0. C.2 70.99 0.93 71 n 72.00 0.31 72. 00 0.63 71.99 0.94 n 73.00 73.00 O.C1 72.99 0.96 73 71 71. (Xi 74.00 73.99 0.97 74 7.-, 75.00 ft 38 75.00 (>..:, 74.99 0.88 75 76.00 O.Ui 7.'.. •.•'.» 0.99 76 77 o.:*4 77.00 0.67 76.08 1.01 77 78 78.00 O.f8 77.99 1.02 78 79 79.00 0.34 79.00 0.69 78.99 i.o;i 80 80.00 0.35 80.00 0.70 79.99 1.05 80 81 81.00 0.35 81.00 0.71 80.88 1.06 81 82 82. 00 82.00 0.72 81.99 1.07 82 83 88.00 0.36 83.00 0.72 82.08 1.09 83 84 84.00 84.00 83.99 .10 84 85 85.00 86.00 0.74 84.09 .11 85 0.75 85.99 .13 86 87.00 0.38 87.00 88.08 .11 87 88 8ft. 00 0.38 88.00 0.77 s7 W .15 88 • 10.00 0.39 89.00 0.78 ss. w .It. • 90 K.OO ()..,:» 90.00 0.79 89.99 .18 00 H 91.00 0.70 80.88 .19 91 92.00 0.40 88.00 0.80 81.08 .20 92 88.00 i>. il 88.00 n. M 82.08 93 94 94.00 n. tl 84.00 83.08 M 95.00 .24 88.00 0.84 85.08 '.)., 97.00 87.00 0.85 88.08 97 98 18.00 96.00 97.99 • 99 99.00 88.00 88.09 H 100 100.00 100.08 88.08 .:»! 100 * Dep. l.at Dep. Lat 1 88j i • 88] 'O 80fc °. p I 1-. 1 '4°. 1 ',-°. 1 b I Lat. Dep. Lat. Dep. Lat. Dep, Dep. 1 1 1.00 0.02 1.00 0.02 1.00 0.03 1.00 0.03 i 2 2.00 0.03 2.00 0.04 2.00 ' 0.05 2.00 0.06 2 3 3.00 0.05 3.00 0.07 3.00 0.08 3.00 0.09 3 4 4.00 0.07 4.00 0.09 4.00 0.10 4.00 0.12 4 5 5.00 0.09 5.00 0.11 5.00 0.13 5.00 0.15 5 I G.OO 0.10 6.00 0.13 6.00 0.16 6.00 0.18 6 7 7.00 0.12 7.00 0.15 7.00 0.18 7.00 0.21 7 8 8.00 0.14 8.00 0.17 8.00 0.21 8.00 0.24 8 9 9.00 0.16 9.00 0.20 9.00 0.24 9.00 0. 27 9 10 10.00 0.17 10.00 0.22 10.00 0.26 10.00 0.31 10 11 11.00 0.19 11.00 0. 24 11.00 0.29 10.99 •0.34 11 12 12. 00 0.21 12. 00 0.2<> 12. 00 0.31 11.99 i.37 12 13 13. (X) 0.23 13.00 0.28 0.34 12.99 0.40 13 14 14.00 0.24 14.00 0,81 U:oo 0. 157 13. !!'.» ».43 14 15 15.00 0.26 15.00 0. 33 14.99 0. 39 14.99 0.46 i.-, 16 16.60 0.28 10.00 0.35 0.42 15.99 0.49 If. 17 17.00 0.30 17.00 0.37 16.99 0.45 16.99 0.52 17 18 18.00 0.31 18.00 0.39 17.99 0.47 L7..99 0.55 18 19 19.00 o. 33 19.00 0.41 18. 91) 0.50 18.99 0.58 19 20 20.00 0.35 20.00 0.44 19.99 0.52 19.99 O.G1 20 21 21.00 0.37 21.00 0. 46 20.99 0.55 20.99 0. 64 21 22 22.00 0.38 21.99 0:48 21.99 0.58 - I.!-1' o.e7 22 23 23.00 0.40 22.99 0.50 22.99 0.60 0.70 23 24 24.00 0. 42 23.99 o. .72 23.99 0.63 23.99 0.73 24 25 25.00 0.44 24.99 0.55 24.99 0.65 24.99 0. 7f, 25 26.00 0.45 25.99 0. f>7 25.99 0.68 25.99 0.79 n 27 27.00 0.47 2(>.99 0.50 26.99 0.71 26,99 0.82 27 28 28.00 0.49 27.99 O.dl •21. '.»<) 0. 73 27. HI. 28 29 29.00 0.51 28.99 0.63 28.99 0.76 28.99 0.89 29 30 30.00 0.52 29.99 0.65 29.99 0.79 29.99 0. 92 10 31 31.00 0.54 30.99 0.68 30.99 0.81 aaw 0.95 :;i 32 32.00 0.56 31.99 0.70 31.99 0.84 31.99 0.98 33 32.99 o. -w 32.99 0.72 32. !><> 0.86 1.01 M 34 33.99 0.59 0.74 33.99 0.89 :>,:',. IK I. H! M 35 34.40 0.61 34. !I9 0.76 34.99 0.93 84.96 I.n7 3i> :>.->. w D. 63 85.91 0.79 35.99 0.94 . Id 37 36.99 36.99 0.81 36.90 0.97 . 13 38 37.99 O.lil. 37.99 0. S3 37. m 0. '.)<) 37.98 . in 39 38.99 0.68 88.98 0.85 3K. '.«) .08 3S. !»S .1!) to 39.99 0.70 B9.9J 0.87 m* .08 39,98 . 22 40 41 10.99 0.72 40.99 n.vi 40.99 .07 40.98 . L»:. 11 42 41.99 d. ?:< 0.92 .10 41*98 .28 K2 i:< 0. 7r> 0.94 . i ; 42. 98 .31 M 43.99 0.77 43. Of 0.96 43. '.»X . ir, 43.98 M 45 44.99 0.79 0,98 44.01 .18 II.UX 45 46 45.99 0.80 45.99 1.00 45.98 .20 .40 M 47 16,90 0 S2 46.99 4ti. !»X .23 . 14 47 48 47.99 0.84 47.98 .26 . 17 •is 49 1.07 .60 )'.) • 49.99 0.87 49.99 1.09 49.98 .81 )'.».'. IS .53 50 1 Dep. . Lat. Dep. Lat. Dep. Lat. l>rp. Lat. I 3 89 > XX : i\ 88> f. KS> r- 5 10 TAHLK I.— TRAVEKSF TABLE. 9 1 0 I' 4°. i' i»- r g- 1 Lat. Dep. Lat. Drp. Lat. ivp. Lat. Dep. I 51 50.99 0. SO 50.99 1.11 !.:;» 50.98 .56 51 52 0.91 51.99 Sl.W .59 62 53 62.99 0.92 52.99 1.16 52.98 63 64 0.94 1.18 1.41 53.97 .65 64 1.20 1.44 54.97 .68 55 0.98 55.99 1.22 .47 55.97 .71 56 0.99 56.99 1.24 .49 .74 57 58 .01 87.99 1.27 57.98 57.97 .77 58 59 ,-.S. W .(>:< 58.5)9 1.29 58.98 .54 58.97 .80 60 59.99 1.05 59.99 1.31 59.98 .57 59.97 GO ft] 60.99 .00 60.99 1.33 00.98 .60 60.97 .86 • 1 81.98 .62 61.97 .VI .10 1.37 . .!>7 .17 !.-« 86,98 .7.-, 68.97 2.05 C,7 .1!) 1. »> .78 «7. 97 68 .30 OK. 98 1.51 1.81 88.97 •1. 1 1 69 70 69.98 1.53 69.98 1.83 r,'.i.'.»7 •_'. 1 1 70 71 70.99 .24 1.55 70.98 1.86 70.97 2.17 71 71 71.99 .» 1.57 71.98 71.97 2.20 72 ;27 1. 50 7'..'. !-7 1.91 72.97 2.23 73 74 73.99 T.\. 9X 1.. 1 1.94 73.97 2.26 74 7.-, .31 74.97 1.9(5 74.97 2.29 7'. .33 75. 97 1,99 7ti 7. 1.68 2.02 76.96 2.35 77 1.70 77.97 2.04 77.96 78 1.72 2.07 79 79.99 .40 79.98 1.75 79.% 2.44 80 .41 80.97 2.12 80.96 2.47 81 .43 H .4.-. 2.17 82,96 2.53 83 M .47 1.83 2.20 w. «.n; •_'. :,7 84 84.97 2. fiO 85 2. •-'.'. 85. 2.40 88 1.94 2. 33 89 90 1.90 89.97 2.16 89.96 90 M 90.09 90.% 2.78 91 2.01 2.41 H 93 94 H 96 97 1.71 •J. 14 H •_'. If, B8.M • KM •9.W 99.97 100 Lat. Dep. i o 3 i VS: r. m r. 88V r. 5 11 TABLE 4.— TRAVERSE TABLE. g 2" 2y4 o VA * 0 0 B c/r I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i i 1.00 0.03 1.00 0.04 1.00 0.04 1.00 0.05 i 2 2.00 0.07 2.00 0.08 2.00 0.09 2.00 0.10 2 3 3.00 0.10 3.00 0.12 3.00 0.13 3.00 0.14 3 4 4.00 0.14 4.00 0.16 4.00 0.17 4.00 0.19 4 5 5.00 0.17 5.00 0.20 5.00 0.22 4.99 0.24 5 6 6.00 0.21 6.00 0.24 5.99 0.26 5.99 0.29 6 7 7.00 0.24 6.99 0.27 6.99 0.31 6.99 0.34 7 8 7.99 0.28 7.99 0.31 7.99 0.35 7.99 0.38 8 9 8.99 0.31 8.99 0.35 8.99 0.39 8.99 0.43 9 10 9.99 0.35 9.99 0.39 9.99 0.44 9.99 0.48 10 11 10.99 0.38 10.99 0.43 10.99 0.48 10.99 0.53 11 12 11.99 0.42 11.99 0.47 11.99 0.52 11.99 0.58 12 13 12.99 0.45 12.99 0.51 12.99 0.57 12.99 0.62 13 14 13.99 0.49 13.99 0.55 13.99 0.61 13.98 0.67 14 15 14.99 0.52 14.99 0.59 1 1. 99 0.65 14.98 0.72 li 16 15.99 0.66 15.99 0.63 15.98 0.70 15.98 0.77 Ki 17 16.99 0.59 16.99 0.67 16.98 0.74 16.98 0.82 17 18 17.99 0.03 17.99 0.71 17.98 0.79 17.98 0.86 18 19 18.99 0. C.li 18.99 0.75 18.98 0.83 18.98 0.91 19 20 19.99 0.70 19.98 0.79 19.98 0.87 19.98 0. 9(1 20 21 20.99 0.73 20.98 0.82 20.98 0.92 20.98 1.01 21 22 21.99 0.77 21.98 0.86 21.98 0.96 21.97 1.06 a 23 22.99 0.80 22.98 0.90 22.98 1.00 22.97 1.10 23 24 23.99 0.84 23.98 0.94 23.98 1.05 23.97 1.15 24 25 24.98 0.87 24.98 0.98 24.98 .09 24.97 1.20 25 26 25.98 0.91 I'.',. '.IS 1.02 25.98 .13 25.97 1.25 2(i 27 26. 9S 0.94 26.98 .06 26.97 .18 26.97 1.30 •27 28 27.98 0.98 27.98 .10 27.97 .22 27.97 1.34 28 29 28.98 1.01 28.98 .14 28.97 .26 28.97 1.39 29 30 29.98 1.05 29.98 .18 29.97 .31 29.97 1.44 30 31 30.98 .08 30.98 .22 30.97 .35 30.96 1.49 31 32 31.98 .12 31.98 .26 31.97 .40 31.96 1.54 32 33 32.98 .15 32.97 .30 32. 97 .44 32. '.Hi 1.58 33 34 33.98 .19 33.97 .33 33.97 .48 33.96 1.1.3 M 35 :', 1. us .22 34.97 .37 34.97 . 53 34. 9(i l.tis 35 36 . 26 35.97 .41 M.97 .57 3.V '.Mi 1.73 3(1 37 3d. 9s .29 36.97 .45 36. 06 .«! 31 i. 9. '.17 .til •ir>. 91; .XI 46.96 2.01 j.v 96 2.23 Ki 47 46.97 .M 46.96 . sr> 16.96 2.05 •Hi. '.I.', 2.25 47 48 47.97 .68 47.96 47.95 2.09 47.94 IS 48.97 .71 18.96 .92 18.96 2.14 48.94 •2. 3f, 49 • 49.97 .74 49. 9»i .96 49.95 2.18 49.94 •2. 40 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 K °. S7 4°. 87J tfb 87} i°. 8 12 TABLE 4. -TRAVERSE TABLE. d 2°. 2H°- 3**. | 1 Lot. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.97 1.78 81.90 2.00 50.95 2.22 50.94 2.45 51 52 n.97 1.81 61. « 2.04 51.95 2.27 51.94 2.49 52 53 52.97 1.85 69.90 2.08 52.95 2.31 52.94 2.54 53 54 53.97 1.88 53.96 2.12 53.95 2.36 53.94 2.59 54 55 54.97 1.92 54.90 2.16 54.95 2.40 54.94 2.64 55 56 55.97 1.95 55.96 2.20 55.95 2.44 55.94 2.69 56 57 66. '.'7 1.99 .v,. no 2.24 56.95 2.49 86.93 2.73 57 58 57.96 2.02 57.96 2.28 57.94 2.53 57.93 2.78 58 59 68.90 8.00 58.95 2.32 58.94 2.57 .>. '.« 2.83 59 60 59.% 2.09 59.95 2.36 59.94 2.62 59.93 2.88 60 61 60.96 2.13 60.95 2.39 60.94 2.66 60.93 2.93 61 62 61.96 •J. 10 61.95 2.43 61.94 2.70 61.93 2.97 62 63 2.20 02. n.-> 2.47 08.94 2.75 68.93 3.02 63 63.96 •_'. ->:< 63.95 2.51 63.94 2.79 63.93 3.07 64 05 64.96 2.27 64.95 2.55 04. 94 2.84 64.93 3.12 f»5 66 65.96 2.30 65.95 2.59 65.94 2.88 C,a. 3.17 66 67 66.96 2.34 66.95 2. (i3 66.94 2.92 i*. irj 3.21 67 68 67.96 2.37 67.95 2.67 67.94 2.97 07. '.'•-> 3.26 68 69 68. M 2.41 68.95 2.71 68.93 3.01 68.92 3.31 69 70 69.96 2.44 69.95 2.75 69.93 3.05 69.92 3.36 70 71 70.96 2.48 70.95 2.79 70.93 3.10 70.92 3.41 71 72 71.90 2.51 71.94 •_>. s:> 71.93 3.14 71.92 3.45 72 73 72.96 2.55 72.94 2.87 72.93 3.18 72.92 3.50 73 74 73.95 2.58 73.94 2.91 73.93 3.23 73.91 3.55 74 75 2.62 74.94 2.94 74.93 3.27 74.91 3.60 75 76 75.95 2.65 75.94 2.98 75.93 3.32 75.91 3.65 Tfl 77 2.69 76.94 3.02 76.93 3.36 76.91 3.69 77 78 77.95 •2. 7-j 77.94 3.06 77.93 3.40 77.91 3.74 78 79 7s. '.'.- 2.76 78.94 3.10 78.92 3.45 78.91 3.79 79 80 79.95 2.79 79.94 3.14 79.92 3.49 79.91 3.84 80 81 80.95 2.83 80.94 3.18 80.92 3.53 80.91 3.89 81 82 81.95 2.86 81.94 3.22 81.99 3.58 81.91 3.93 82 83 v.». n:, 2.90 SJ. !I4 3.26 88.93 3.62 82.90 3.98 83 84 88.96 2.93 83.94 3.30 M. '.!•_• 3.66 88.90 4.03 84 85 .M. !•;, 2.97 84.93 3.34 84.93 3.71 84.90 4.08 85 u S.-,. '.I.', 3.00 85.93 3.38 85.92 3.75 85.90 4.13 80 87 8ft. '.i.-. 86.93 3.42 86.93 3.79 86.90 4.17 87 88 87.95 3.07 87.93 3.45 87.92 3.84 87.90 4.22 88 89 SS. «C, 3. 1 1 ss. «.:; 3.49 XX. -rj 3.88 88.90 4.27 89 90 y». -...-, 3. 14 89.93 3.53 89.91 3.93 89.90 4.32 90 91 90.95 3.18 91.93 90.91 3.97 90.90 4.37 91 92 3.21 91.93 3.61 91.91 4.01 91.88 4.41 92 93 92.94 3.25 93.93 92.91 4.06 '.i-j. v» 4.46 93 N '.«. '.M :;. -_>.s '.«. -.« 3.69 98.91 4.10 ««. so 4..r.l 94 95 '.M. "4 3.32 94.93 3.73 9i.91 4.14 9*. 83 4.56 95 or, 96. M 3.35 96.93 3.77 96.91 4.19 '.t.V V. 4. 01 96 97 96. M .",. :«» 96.93 96.91 4.23 B8.80 4.65 97 «ts 97. M 3.42 D7. '.'J 3.85 97.91 4.27 '.'7. V) 4.70 98 w 18. M 3.46 98.93 I, v. 98.91 4.32 '.is. s«i 4.75 99 100 99.94 3.49 99.92 3.93 99.90 4.36 '.l-.i. S.S 4.80 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | 5 88°. 87%°. 87H°. 87««. 1 13 TA HI.!- TABLE. I 3 5. r. r« 3? r. 0 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. IVp. ? 1 1 1.00 o. or, LOO 0.06 1.00 o. or, 1.00 0.06 1 2 2.00 0. 11) 2.00 0. 11 2.00 0,12 2.00 0. 13 L> 3 3.00 o. h; 3.00 0.17 2.99 0. IS 2.99 0-20 3 4 3.99 !>..'! 3. '.»'.» 0. 23 3.99 0. 2 1 3.99 0. 26 4 5 4.99 0. 215 ft 28 4.99 0.31 4. 99 0. 33 5 6 5.99 0.31 5. 9'.) ft 34 5.99 0.37 5.99 0.39 6 7 0.99 0.37 0. 90 0. |l) 6.99 0. 13 6. 99 0. 4(1 7 8 7 'HI <>. \2 7. '.:'.> 0.45 0. 19 0. 52 8 9 0. 17 0.51 0. 55 0. f.'.l 9 10 9.99 0.52 9.98 0.57 9.98 0.61 0.65 10 11 in. 9.s 0. 58 10.98 Ol62 10. OS o 07 10. 9S 0. 72 11 IL- 1 ] . 9X 0163 11.96 0. IIS 11.98 11.97 0. 7S 12 LS 12.88 0.68 12.98 0.74 12. us 0.79 12.97 (I. xr, 13 14 13.98 0. 73 13.98 0.79 13. 97 0.85 13.97 It IS 14.9X 0.7!) 1 1. US 0.85 1 1. 07 0. 92 11. "7 0.98 15 16 15.97 0.91 !-.'. '7 o. as 15.97 1.05 1C, 17 1C.. US 0. S!) 16. 97 0.96 1C.. 97 .04 18.96 1.11 17 18 17.98 17.97 ,02 17. 97 .10 17."!'. 1.18 is 19 18.97 0.99 18. 97 .08 IS. 9(1 .16 18.96 1.21 19 20 19.97 1.05 19.97 ,13 19. 9(1 .22 19.96 1.31 20 21 20.97 .10 20.97 .19 20.96 .28 20.96 .37 21 22 21.97 .1.-, 21.90 .25 21. 96 .34 21. 95 . 1! 22 23 22.97 .20 22.96 .30 22.96 .40 22.95 .50 23 24 23.97 .26 23. !IT, 23.96 .47 23. 95 )57 24 25 24.97 .31 24.96 1.42 24. 95 .53 24. 9.r> ,64 25 26 25. 96 .36 1. 17 25. 9", ,59 2S.94 .70 27 26.90 .11 20. 9r, 1.53 26.95 26. 9 1 .77 27 28 27.96 .47 27.95 1.59 27. '.>:• .71 27.94 .S3 29 28.96 .52 28.95 1.64 28.95 .77 2S. 91 .90 29 30 29.90 .57 29.95 1.70 29.94 . 83 29.94 .96 30 31 30. w . 02 :. wo 3. i 1 50.89 3.34 51 •2. 7'-' 3. 17 5L8D 3.40 53 3.47 58 54 M. W 3.30 53.88 3.53 54 55 3. 1 1 3.60 55.92 55.91 55.90 3. 42 3.66 56 57 .V. 82 2.98 fit 91 3.23 56.89 5ft. ss 3.73 57 58 3.04 57.91 3.29 3.54 57.88 3. 7') 58 3.09 58.91 3. :: i S.60 58. ^7 59 60 59.92 3.14 59.90 3.66 59.87 3.92 CO 61 60.92 3. l'» 60.90 3.99 r,l 61.92 3. '-' » 6L90 61.88 .05 63 3.57 3.85 .12 63 64 J.01 63.86 . I'l 64 65 G4.86 65 4.(« 66 66.91 4.09 .38 67 68 3.56 4. l"i . I.'. 68 69 eass .51 69 70 4. •_•: G9.85 .58 70 71 70.90 4.03 4. 33 70.85 .04 71 72 Tl.'.io 4.08 4.48 71.85 .71 72 73 4.14 .77 73 14 4.20 .84 71 4.58 7-, 3.08 7" 77 4.7D 5.04 77 7S 4.7fl 77. V, ->. 1(1 78 79 79 80 79.83 80 4.-J1 5.30 81 4.29 84.87 5.01 81.82 82 83 4.71 5.43 83 4.40 84 84.82 85 86 86 87 Mi. vs XT,. S| 87 88 87.86 4.99 87.81 5.76 88 89 VS. ss 88.81 89 90 89.88 5.49 89.81 5.89 90 91 KX 89 90.81 5.95 91 91.80 6.02 92 93 6.08 93 M 94 95 M.80 95 96 95.87 95.79 6.28 96 97 %. s7 5.08 m.n 97 98 17.87 5.13 97. M 97.79 98 99 !N. si, 5.18 W.84 5.61 (IS. V_. 99 100 V.i. s i 5.23 V.t. x 1 5.67 99.81 6.10 •.i-.i. ;•.) 6.54 100 $ Lat. Lat. D*p. Lat. i 5 i 7°. n C> W *°. s,,l r. 1 l.J TA1JLK 4. -TRAVERSE TABLE. 1 4C 4X [°. 4k S°. d 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 1.00 0.07 1.00 0.07 1.00 0.08 1.00 0.08 1 2 2.00 0.14 1.99 0.15 1.99 0. 10 1.99 0.17 2 3 2.99 9.21 2.99 0. 22 2.99 (1.2. 2.99 D.25 3 4 3.99 0.28 :». -.r.i 0.30 3.99 o.:;i 3.99 0.33 4 5 4.99 0.35 4.99 0.37 4,98 4.98 0.41 5 6 5.99 0. i-' 5.98 0.44 5. '.IS 0.47 0.50 6 7 6.98 0.49 ft. 98 0.52 6.98 0.55 6. 98 0.58 7 8 7.98 0.56 7.98 0.59 7.98 0.63 7.97 0.66 8 9 8.98 0.63 8.98 O.(i7 B.97 0.71 8.97 0.75 9 10 9.98 0.70 9.97 0.74 9.97 0.78 9.97 0.83 10 11 10.97 0.77 10.97 0.82 10.97 0.86 10. 96 0.91 11 L2 11.97 0. ,S 1 1 1 . -17 0.94 11.96 0.99 12 13 12.97 0.91 12.96 0.98 12! 96 1.02 12.96 1.08 13 14 13.97 0.98 13.96 1.04 L3.96 1.10 13.95 1.16 14 15 14.96 1.05 14.96 1.11 14.95 1.1S 14.95 1.21 1.-, 16 15.96 1.12 15. 90 1.19 1.26 15.95 t.32 16 17 10.96 1.19 16.95 1.28 L.33 16.94 1.11 17 18 17.96 1.26 17.95 1.83 17 '.M L41 17.94 1.49 18 19 18. 95 1.33 18.95 1.41 18.94 l. i'.i L8.93 1.57 19 20 19.95 1.40 19.95 1.48 19. 9-4 1 . :,7 19.93 L66 20 u 20.95 1.46 20.94 1.56 20.94 1.65 20.93 1.74 21 82 21.95 1.53 21.94 1.63 21.93 1.78 21.92 1.S2 22 23 22.94 .60 22.94 1.70 22.93 1 . SO 22.92 1.90 23 2! 23.94 .67 23.93 1.78 23.93 1 . SS 23.92 1.99 24 25 24.94 .74 1.85 24.92 L.96 24.91 2.07 25 M 25. 94 .81 2.-,. -.»:{ 1.93 25.92 2. 04 25.91 2.15 26 27 26. 93 .88 26. 93 2.00 26.92 2.12 26. 91 2. 21 27 28 27.93 .95 27.92 2.08 27.91 2.20 2.32 28 29 28.93 2.02 28.92 2.15 28.91 2.28 28.90 2.40 29 30 2<). «« 2.09 29.92 2.22 29.91 2.35 2. is 30 31 30.92 2.16 30.91 2.30 30.90 2.43 30.89 2. f>7 31 :*2 31.92 2.23 31.91 2.37 31.90 2.51 31.89 2. 65 82 33 .TJ. 92 2.30 32.91 2.45 32.90 2.59 33 34 33.92 •_'. .-,7 33.91 2. r,L» 33.90 2. 1-7 2.82 84 35 2.44 3490 2.59 :«. s. S7 3.06 87 38 87.91 2. r,r, 37.90 2.82 :\7. ss 2.98 :;7.s7 3.15 39 38.90 2. 72 2.89 3.06 39 40 39.90 2.79 39.89 2.96 39.88 3.14 •M. S6 8.81 40 11 40.90 2.86 40,80 3.04 40.87 3.22 40. 86 3.40 41 12 41.90 3.11 41.87 3.80 41.86 :i. 4s 42 0 42.90 3.00 :<. I'.i 12. S7 3.37 44 3.07 3.26 :',. 4:, 41 3.14 44.88 45 M 45.89 3.21 8.41 •l.V sr, 3.61 8.81 47 3.28 47 48 47.88 17.87 3.77 3.97 4'.» 48.88 :;. 12 •is. S7 48.85 3.84 4.06 N 50 49.88 3.49 8.71 49.85 l. it 50 I Dep. Dep. Lat. Dep. Lat. Dep. Lat. i 2 M °. 85? 85) 4.63 .Vs. M) 4.89 59 CO 59.85 4.19 :a. s4 4.45 .v.i. .SL- 4.71 59.79 4.97 60 t.l GO. 85 4.26 60.83 4.52 OG. 81 4.79 60.79 5.05 61 •2 61.85 4. 32 61.83 4.59 61.81 4.86 61.79 5.13 62 62.85 4.39 (..'. X* 4.67 62.81 4.94 62.78 5.22 63 (,'5. S4 r.3. s.' 4.74 63.80 5.02 63.78 5.30 64 m. si 4.53 M. >-' 4.82 64.80 6.10 C.4. 7S 5.38 65 «i5. M 4,60 lio. v_> 4.89 65. SO 5.18 c>:,. 77 5.47 66 1.7 8& 84 4.67 4.97 66.79 5.26 66.77 5.55 68 «;:. si 4.74 67.81 5.04 67. 7'J 5.34 67.77 5.63 68 i.s. s;{ 4. si 68.81 5.11 68.79 5.41 68.76 5.71 69 70 W. S3 4.88 69.81 5.19 69.78 5.49 69.76 5.80 70 71 70.83 4.95 70.80 5.26 70.78 5.57 70.76 5.88 71 71.82 5.02 71.80 5.34 71.78 5.65 71.75 6.96 72 73 72. v_' 6.QO 72.80 5.41 72.77 5.73 72.75 6.04 73 74 7.-{. s_> 6.16 73.80 5.48 73. 77 5.81 73.75 6.13 74 74. v-' 5.23 74. 7'.» 5.56 74.77 5.88 74.74 6.21 76 7'. 75.81 5.30 75-79 5.63 7&77 5.96 75.74 6.29 77 76. M 5.37 5.71 76.76 6.04 7«.74 6.38 77 7> 77.81 5.44 77.78 5.78 77.76 6.12 77.73 6.46 78 79 78. M 5.51 78.78 5.85 78.76 (i. 20 7.s. 7:5 6.54 79 80 79. M 5.58 7. 74 6.51 82.71 ti. ,s7 83 84 M. S) 5. Mi S3. 77 6.23 .sj{. 74 6.59 M 71 6.96 84 85 84.77 6.30 6.67 M. 71 7.04 85 86 .V,. 7-.i 6.00 s,-,. 7i i 6.37 s.-,. 7.1 6. 7:, 85.70 7.12 86 87 V, 7. 7s 6.35 90.75 6.74 90.72 7.14 90.69 7.54 91 92 'H 7x 6.42 91.75 «;. s-j 91.72 7.22 91.68 92 93 92.77 (.. 5'J 92.74 (,. VI 92.71 7.30 '.rj. ..s 7.7U 93 93.74 6.97 7.38 •i:{. i.x 7.78 '.'4 95 94.74 7.04 94.71 7.45 94.67 7.87 95 96 «,. 7.1 7.11 95.70 7.53 !i.V ..7 7.95 96 !•»;. 71 1 7.19 '.M, 70 7.'.1 ?Ki. 1,7 ft, 08 97 6.84 97.73 7.26 97.70 7.69 «.»7. i.(i 8.12 98 '.is. 7ii 6.91 98.73 7.34 Us. Ml 7.77 •*S. l'4i 8.20 99 100 '.•'». 711 •i. us 99.73 7.41 * «Q 7.85 '.»'.. U, 8.28 100 I Dep. Dep. Lat. Dep. Lat. Dep. Lat. § 5 86\ 8%'. 85M*. 85H'. 1 41479—10 2 17 TABLE 4.— TRAVERSE TABLE. 0 1 5< 5^ 0 fei K 5^ o d | i Lat. Dep. L&t. Dep. Lat. Dep. Lat. Dep. 1 j 1.00 0.09 1.00 0.09 1.00 0.10 0.99 0.10 1 2 1.99 0.17 1.99 0.18 1.99 0.19 1.99 0.20 2 3 2.99 0.26 2.99 0.27 2.99 0.29 2.98 0.30 3 4 3.98 0.35 3.98 0.37 3.98 0.38 3.98 0.40 4 5 4.98 0.44 4.98 0.46 4.98 0.48 4.97 0.50 5 6 5.98 0.52 5.97 0.55 5.97 0.58 5.97 0.60 6 7 6.97 0.01 6.97 0.64 6.97 0.67 5.96 0.70 7 8 7.97 0.70 7.97 0.73 7.96 0.77 7.96 0.80 8 9 8.97 0.78 8.96 0.82 8.96 0.86 S. 95 0.90 9 10 9.96 0.87 9.96 0.92 9.95 0.96 9.95 1.00 10 11 10.96 0.96 10.95 1.01 10.95 .05 10.94 .10 11 12 11.95 .05 11.95 1.10 11.94 .15 11.94 .20 12 13 12.95 .13 12.95 1.19 12.94 .25 12.93 .30 13 14 13.95 .22 13.94 1.28 13.94 .34 13.93 .40 14 15 14.94 .31 14.94 1.37 14.93 .44 14.92 .50 15 16 15.94 .39 15.93 1.46 15.93 .53 15.92 .60 16 17 16.94 .48 16.93 1.50 16.92 .63 16.91 .70 17 18 17.93 .57 17.92 1.65 17.92 .73 17.91 .80 18 19 18.93 .66 18.92 1.74 18.91 .82 18.90 .90 19 20 19.92 .74 19.92 1.83 19.91 .92 19.90 2.00 20 21 20.92 .83 20.91 1.92 20.90 2.01 20.89 2.10 21 22 21.92 .92 21.91 2.01 21.90 2.11 21.89 2.20 22 23 22.91 2.00 22.90 2.10 22.89 2.20 22.88 2.30 23 24 23.91 2.09 23.90 2.20 23. Si) 2.30 23.88 2.40 24 25 24.90 2.18 24.90 2.29 24.88 2.40 24.87 2.50 25 26 25.90 2.27 25.89 2.38 25. SX 2.49 25.87 2.60 26 27 26.90 2.35 26.89 2.47 26.88 2.59 26.86 2.71 27 28 27.89 2.44 27.88 2.66 27.87 2.68 27. SO 2.81 28 29 28.89 2.53 28.88 2.65 28.87 2.78 28.85 2.91 29 30 29.89 2.61 29.87 2.75 29.86 2.88 29.85 3.01 30 31 30.88 2.70 30.87 2.84 30.86 2.97 30.84 3.11 31 32 31.88 2.79 31.87 2. (13 31.85 3.07 31.84 3.21 32 33 32.87 2.88 32.SC, 3.02 3-J. So 3.16 3.'. S3 3.31 33 34 33.87 1.96 33.86 3.11 33.84 3.26 33. S3 3.4'. 34 35 34.87 3.05 34. NT, 3.20 34.84 3.35 34.82 3.51 35 36 85.86 3.14 35.85 3.29 35. S3 3.45 3.-,. SL« 3.01 86 37 36.86 3.22 89.84 8.89 36.83 3.55 36.81 3.71 37 38 37.86 3.31 37.84 3.48 37.83 3.64 37.81 3.81 88 39 38.85 3.40 38.84 3.57 38.82 3.74 88.80 3.91 39 40 39! 85 3.49 39.83 3.66 39.82 3.83 39.80 4.01 40 41 40.84 3. 57 40.83 3.75 40.81 3.93 40.79 .11 41 42 41.84 41.82 3.84 41.81 .03 41.79 .21 42 43 42.84 3.75 42.82 3.93 42.80 ,J2 42.78 .31 43 44 43.83 3.83 43.82 4.03 48.80 .22 43.78 .41 44 45 44.82 3.92 44.81 4.12 44.79 .31 44.77 .51 45 46 45.82 4.01 45.81 4.21 45.79 .41 45.77 .01 40 47 46.82 4.10 46.80 4.30 48.78 .50 40. 70 .71 47 48 47. 82 4.18 47.80 4.39 47.78 .80 47.76 .81 48 49 48.81 4.27 48.79 4.48 48.77 .70 48.75 .91 49 50 4'J.sl 4.36 4U. 7'J 4.58 49.77 4.79 49.75 5.01 50 i Dep. Lat. Dep. Lat. Dep. Lnt. Dep. Lat. I 5 85 '. h4' ft 84J **. 841, i°- 5 18 TABLE 4.— TKAVKKSK TABLK. b 5°. 5K°. 6««. #r. § 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 50.81 4.44 50.79 4. 67 50.77 4.89 50.74 5.11 51 52 51.80 4.53 51.78 4.76 51.76 4.98 51.74 5.21 52 53 52.80 4.ii '_' 52.78 4.85 52.76 5.08 52.73 5.31 53 54 M. 7l» 4.71 53.77 4.94 53.75 5.18 53.73 5.41 54 55 54.79 4.79 54.77 5.03 54.75 5.27 54.72 5.51 55 56 55.79 4.88 55.77 5.12 55.74 5.37 55.72 5.61 56 57 .V,. 7S 4.97 60.76 5.22 56.74 5.46 56.71 5.71 57 58 57.78 5.06 57.70 5.31 57.73 5.56 57.71 5.81 58 59 58.78 5.14 58.75 5.40 58.73 5.65 58.70 5.91 59 GO 59.77 5.23 59.75 5.49 59.72 5.75 59.70 6.01 60 61 60.77 5.32 00.74 5.58 00.72 5.85 60.69 6.11 61 62 61.76 5.40 01.74 f>.(,7 61.71 5.94 01.69 6.21 62 63 62.76 5.49 ft. 76 02.71 6.04 62.68 6.31 63 64 63.76 5.58 63.73 5.86 (1:5.71 6.13 68.68 6.41 64 65 64.75 5.67 64.73 5.95 04.70 6.23 64.67 6.51 65 66 65.75 5.75 86.72 6.04 05.70 6.33 65.67 6.61 66 66.75 5.84 66.72 6.13 66.69 6.42 66.66 6.71 67 68 67.74 5.93 67.71 6.22 67.69 6.52 67.66 6.81 68 69 68.74 6.01 68.71 6.31 68.68 6.61 68.65 6.91 69 70 69.73 6.10 69.71 6.41 69.68 6.71 69.65 7.01 70 71 70.73 6.19 70.70 6.50 70.67 6.81 70.64 7.11 71 71 71.73 6.28 71.70 6.59 71.67 6.90 71.64 7.21 72 73 72.72 6.36 72.1. H 6.68 72.66 7.00 72.63 7.31 73 74 73.72 f-. 4.1 73.69 6.77 73.66 7.09 73.63 7.41 74 75 74.71 6.54 74. 09 6.86 74.65 7.19 74.62 7.51 75 76 75.71 75.68 G.95 75.65 7.28 75.62 7.61 76 77 76.71 C-.71 76. (18 7.05 70. (M 7.38 76.61 7.71 77 78 77.70 6.80 77.67 7.14 77. M 7.48 77.61 7.81 78 79 78.70 6.89 7.23 78.64 7.57 78.60 7.91 79 80 79.70 6.97 7.32 79.03 7.67 79.60 8.02 80 81 80.69 7.06 80.66 7.41 80.63 7.70 80.59 8.12 81 82 81.69 7.15 81.66 7.50 81.62 7.86 SI., 7.1 8.22 82 83 82.68 7.23 82.65 7.59 s-2. 02 82.58 8.32 83 84 83.68 7.32 83. 05 7.69 83.61 8.05 S3. 5S 8.42 84 85 84.68 7.41 7.78 M.61 8.15 84.57 8.52 85 86 85.67 7.50 7.87 86.60 8.24 s.i. ;>: 8.62 86 87 7.58 86.64 7.96 8.34 86.56 8.72 87 88 87.67 7.67 87.63 8.05 87.59 8.43 87.56 8.82 88 s<> 7.76 88.63 8.14 NX. .7) 8.53 NX. :,:, 8.92 89 90 89.66 7.84 89. 62 8.24 89.59 8.63 89.55 9.02 90 M 90.66 7.93 90.62 8.33 '.Kl.f.x 8.72 90.54 9.12 91 92 91.65 K.Q3 01.61 8.42 91.58 8.82 91.54 9.22 92 93 92.65 8.11 93.61 8.51 92.57 8.91 '.»_>. ^ 9.32 93 M 93.64 8.19 93. til 8.60 . .V, 9.20 «.»:,. .vj 9.62 96 97 8.45 <*.;. .71 S. KS 9&68 9.30 96.61 9.72 97 98 8.54 17.58 8.97 97.55 9.39 97.51 9.82 M 99 98.C.2 8.63 <»x. :,x 9.06 its. .>» 9.49 US. .10 '.». '•_> 99 KM) 99.62 8.72 99.58 9.15 99.54 9.58 99.50 10.02 100 1 Dep. |jfi Hop. Lat. Dep. Lat. Dep. Lat. 1 5 85°. 84tf». 84H-. 84*'. a 19 TABLE 4. -TRAVERSE TABLE. 1 6 >^ <-', [°. W sr VA [*. O I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.99 0.10 0.99 0.11 0.99 0.11 0.99 0.12 1 2 1.99 0.21 1.99 0.22 1.99 0.23 1.99 0.24 2 3 2.98 0.31 2.98 0.33 2.98 0.34 2.98 0.35 3 4 3.98 0.42 3.98 0.44 3.97 0.45 3.97 0.47 4 5 4.97 0.52 4.97 0.54 4.97 0.57 4.97 0.59 5 6 5.97 0.63 5.96 0. to 5.96 0.68 5.96 0.71 6 7 6.96 0.73 6.96 0.76 6.96 0. 79 6.95 0.82 7 8 7.96 0.84 7.95 0.87 7.95 0.91 7.94 0.94 8 9 8.95 0.94 8.95 0.98 8.94 .02 8.94 1.06 9 10 9.95 1.05 9.94 1.09 9.94 .13 9.93 1.18 10 11 10.94 .15 10.93 .20 10.93 .25 10.92 1.29 11 12 11.93 .25 11.93 .31 11.92 .36 11.92 1.41 12 13 12.93 .30 12.92 .42 12.92 .47 12.91 1.53 13 14 13.92 .46 13.92 .52 13.91 .58 13.90 1.65 14 15 14.92 .57 14.91 . 03 14.90 .70 14.90 1.76 15 16 15.91 .67 15.90 .74 15.90 .81 15. 89 1.88 16 17 16.91 .78 16.90 .85 16.89 1.92 16.88 2.00 17 18 17.90 .88 17.89 .96 17.88 2.04 17.88 2.12 18 19 18.90 .99 18.89 2.07 IS. SS 2.15 18.87 2.23 19 20 19.89 2.09 19.88 2.18 19.87 2.26 19.86 2.35 20 21 20.88 2.20 20.88 2.29 20.87 2.38 20.85 2.47 21 22 21.88 2.30 21.87 2.40 21. 86 2.49 21. So 2.59 22 23 22.87 2.40 22.86 2.50 22.85 2.60 22.84 2.70 23 24 23.87 2.51 23.86 2.61 23. So 2.72 23.83 2.82 24 25 24.86 2.61 24.85 2.72 24.84 2.83 24.83 2.94 25 26 25.86 2.72 25.85 2.83 25.83 2.94 25.82 3.06 26 27 26.85 2.82 26.84 2.94 26.83 3.06 26.81 3.17 27 28 27.85 2.93 27.83 3.05 27.82 3.17 27.81 3.29 28 29 28.84 3.03 28.83 3.10 28.81 3.28 28.80 3.41 29 30 29.84 3.14 29.82 3.27 29.81 3.40 29.79 3.53 30 31 30.83 3.24 30.82 3.37 30.80 3.51 30.79 3.64 31 32 31.82 3.34 31.81 3.48 31.79 3.62 31.78 3.76 32 33 32.82 3.45 32.80 3.59 32.79 3.74 32.77 3. SS 33 34 33.81 3.55 33.80 3.70 33. 7S 3.85 33. 76 4.00 34 35 34.81 3.66 34.79 3.81 34.78 3.96 34.76 4. 11 35 36 35.80 3.76 35.79 3.92 35.77 .08 35.75 36 37 36.80 3.87 36.78 .03 36. 76 .19 36.74 4; 85 37 38 37.79 3.97 37.77 .14 37. 76 .30 37.74 4.47 38 39 38.79 .OS 38.77 .25 38.75 .41 38.73 4.58 39 40 39.78 .18 39.76 .35 39.74 .53 39.72 4. TO 40 41 40.78 .29 40.76 .46 40.74 .64 40.72 4.82 41 42 41.77 .39 41.7o .57 41.73 .75 41.71 4.94 42 43 42.76 .49 42.74 .68 42.72 .87 42.70 5.05 43 II 43.76 .60 43. 74 .7!) 43. 72 .98 43.70 5.17 44 45 4 J. 7.-. .70 44. 73 .90 44.71 5.09 5.29 45 45.75 .81 45.73 5.01 45.70 5.21 45.68 5.41 40 47 46.74 .91 46.72 5.12 46.70 5.32 46. 67 5.52 47 48 47.74 47.71 5.23 5.43 47.67 48 49 48.73 5. 1-' 48.71 5.33 5.55 ;.. 76 49 50 49.73 5.23 49.70 5.44 49.68 5.66 49.65 5.88 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. f i 1 5 & 1°. 83$ i*> 83^ 83^ Q 20 TABLE 4.-TRAVERSE TABLE. 0 £ 6°. 6K°. 6^°. W- | I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 51 50.72 5.33 50.70 5.55 50.67 5.77 50.65 5.99 51 52 51.72 5.44 61.69 5.66 61.67 5.89 51.64 6.11 52 53 5'2. 71 5.54 52.68 5.77 52.66 6.00 52. »i3 6.23 53 54 53.70 5.64 53.68 5.88 53.65 6.11 53.63 6.35 54 55 54.70 5.75 54.67 5.99 54.65 6.23 54.62 6.46 55 56 55.09 5.85 55.67 6.10 55.64 6.34 55.61 6.58 56 57 5.96 56. OH 6.21 56.63 6.45 56.60 6.70 57 58 57.68 6.06 57.66 6.31 57.63 6.57 57.60 6.82 58 59 68.68 6.17 58.65 6.42 58.62 6.68 58.59 6.93 59 60 59.67 6.27 59.64 6.53 59.61 6.79 59.58 7.05 60 61 60.67 6.38 60.64 6.64 60.61 6.91 60.58 7.17 61 62 61.66 6.48 61.63 6.75 61.60 7.02 61.57 7.29 62 63 62.65 6.59 62.63 6.86 62.60 7.13 62.56 7.40 63 64 63. 65 6.69 6.97 63.59 7.25 63.56 7.52 64 65 6.79 64.61 7.08 64.58 7.36 64.55 7.64 65 66 65.64 6.90 65.61 7.19 65.58 7.47 65.54 7.76 66 67 66.63 7.00 66.60 7.29 66.57 7.58 66.54 7.88 67 68 67. 63 7.11 67.60 7.40 67.56 7.70 67.53 7.99 68 69 68. 62 7.21 68.59 7.51 68.56 7.81 68.52 8.11 69 70 69. r,2 7.32 69.58 7.62 69.55 7.92 69.51 8.23 70 71 70. 61 7.42 70.58 7.73 70.54 8.04 70.51 8.35 71 72 71. (il 7.53 71.57 7.84 71.54 8.15 71.50 8.46 72 73 72. 60 7.63 72.57 7.95 72.53 8.26 72.49 8.58 73 71 73.59 7.74 73.56 8.06 73.52 8.38 73.49 8.70 74 75 7.84 74.55 8.17 74.52 8.49 74.48 8.82 75 M 75.58 7.94 7.-,. 55 8.27 75.51 8.60 75.47 8.93 76 77 76.58 8.05 :<;. :>4 8.38 76.51 8.72 76. 47 9.05 77 78 77.57 8.15 77.54 8.49 77.50 8.83 77.46 9.17 78 79 78.57 8.26 78.53 8.60 78.49 8.94 78.45 9.29 79 80 79.56 8.36 79.53 8.71 79.49 9.06 79.45 9.40 80 81 80.56 8.47 80.52 8.82 80.48 9.17 80.44 9.52 81 82 81.65 8.57 81.51 8.93 81.47 9.28 81.43 9.64 82 83 w. .v, X. »;s 82.51 9.04 82.47 8.40 82.42 9.7(i 83 vi 83.54 8.78 83.50 9.14 83.46 9.51 M. 1_> 9.87 84 85 M. -13 8.88 S4. 50 9.25 84.45 9.62 84.41 9.99 85 H K.K M s. w X5. 4<> 9.36 85.45 9.74 85.40 10.11 86 87 XV,. .-,'_> 0.00 S.i. -JS 9.47 Si i. H 9.85 88.40 10.23 87 • X7. -,J 9. 21) S7. 4S !». 5S S7. 43 8.86 87.39 10.34 88 m 88.51 9.30 88.47 9. <,'» NX. 13 10.08 SS. 3S 88 90 89.51 9.41 SO. -17 8LV SO. 42 10.19 89.38 la 68 90 01 00. -H 9.51 90. 16 9.91 90. 42 10.30 90.37 10.70 91 92 91. SO 9.62 91.45 10.02 91.41 M. il 91.36 10.81 92 •93 9.72 92.45 in. r_> 92.40 10.53 92.36 law 93 94 Oil. 10 9.83 93.44 10.23 83.40 19.64 93.35 Ll.Ofi 94 95 94. IS 9.93 94.44 10,14 84.30 10.75 11. 17 95 96 10.03 95. 43 in. i.-, o.i. :is 10.87 1 1 . 28 96 97 %. 47 in. 11 or, •»•_• Oil. US 10.98 V.il 11. M 99 M 10.45 99. 11 10.89 w. 36 1L32 99.31 1 1 . 7.', 100 8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. S c *3 35 Q 84°. 83V- 83H*. UK*. 5 Q 21 TABLE 4.-TRAVERSE TABLE. H 7 > 7^ i-. 7k 7^ 'O O I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. • 1 0.99 0.12 0.99 0.13 0.99 0.13 0.99 0.13 1 2 1.99 0.24 1.98 0.25 1.98 0.26 1.98 0.27 2 3 2.98 0.37 2.98 0.38 2.97 0.39 2.97 0.40 3 4 3.97 0.49 3.97 0.50 3.97 0.52 3.96 0.54 4 5 4.96 0.61 4.96 0.63 4.96 0.65 4.95 0.67 5 6 5.96 0.73 5.95 0.76 5.95 0.78 5.95 0.81 6 7 6.95 0.85 6.94 0.88 6.94 0.91 6.94 0.94 7 8 7.94 0.97 7.94 1.01 7.93 1.04 7.93 1.08 8 9 8.93 1.10 8.93 1.14 8.92 1.17 8.92 1.21 B 10 9.93 1.22 9.92 1.26 9.91 1.31 9.91 1.35 10 11 10.92 .34 10.91 1.39 10.91 1.44 10.90 1.48 11 12 11.91 .46 11.90 1.51 11.90 1.57 11.89 1.62 12 13 12.90 .58 12.90 1.64 12.89 1.70 12.88 1.75 13 14 13.90 .71 13.89 1.77 13.88 1.83 13.87 1.89 14 If 14.89 .83 14.88 1.89 14.87 1.96 14.86 2.02 15 16 15.88 .95 15.87 2.02 15.86 2.09 15.85 2.16 16 17 16. 87 2.07 16.86 2.15 16.85 2.22 16.84 2.29 17 18 17.87 2.19 17.86 2.27 17.85 2.35 17.84 2.43 18 19 18.86 2.32 18.85 2.40 18.84 2.48 18.83 2.56 19 20 19.85 2.44 19.84 2.52 19.83 2.61 19.82 2.70 20 21 20.84 2.56 20.83 2.65 20.82 2.74 20.81 2.83 21 22 21.84 2.68 21.82 2.78 21.81 2.87 21.80 2.97 22 23 22.83 2.80 22.82 2.90 22.80 3.00 22.79 3.10 23 •24 23.82 2.92 23.81 3.03 23.79 3.13 23.78 3.24 24 23 24.81 3.05 24.80 3.15 24.79 3.26 24.77 3.37 25 26 25.81 3.17 25.79 3.28 25.78 3.39 25.76 3.51 26 27 26.80 3.29 26.78 3.41 26.77 3.52 26.75 3.64 27 28 27.79 3.41 27.78 3.53 27.76 3.65 27.74 3.78 28 29 28.78 3.53 28.77 3.66 28.75 3.79 28.74 3.91 29 30 29.78 3.66 29.76 3.79 29.74 3.92 29.73 4.05 30 31 30.77 3.78 30.75 3.91 30.73 4.05 30.72 4.18 31 32 31.76 3.90 31.74 4.04 31.73 4.18 31.71 4.32 32 33 32.75 4.02 32.74 4.16 32.72 4.31 32.70 4.45 33 34 33.75 4.14 33.73 4.29 33.71 4.44 33.69 4.58 34 35 34.74 4.27 34.72 4.42 34.70 4.57 34.68 4.72 35 36 35.73 4.39 35.71 4.54 35.69 4.70 35. ti7 4.85 36 37 36.72 4.51 36.70 4.67 36.68 4.83 36.66 4.99 37 38 37.72 4.63 37.70 4.80 37. c.7 4.96 37.65 5.12 38 39 38.71 4.75 ;«. r.!» 4.92 38.67 5.09 38.64 .-,. L'ti 39 40 39.70 4.87 39.68 5.05 W.66 5.22 39.63 5.39 40 41 4<». lift 6.00 40.67 5.17 40.65 5.35 40.63 5.53 41 42 41.69 5.12 41.66 5.30 41.64 5.48 41.63 a. 1X1 42 43 4_'. US 5.24 T_>. Crfi 5.43 42. fa 5.61 42. x C, s_' 55.55 7.07 55.52 7.31 55.49 7.55 56 57 ;*\. .Vs • ',. '.to .V,. 'A 7.19 56.51 7.44 .->;. ix 7. !,'.» 57 58 57.57 7.07 57.54 7.32 57.50 7.57 57.47 7.82 58 59 58.56 7.19 .Vv :,3 7.45 58.50 7.70 58.46 7.96 59 GO 59.55 7.31 59.52 7.57 59.49 7.83 59.45 8.09 60 61 60.55 7.43 60.51 7.70 60.48 7.96 60.44 8.23 61 M.54 7.56 61.50 7.82 61.47 8.09 61.43 8.36 62 113 62.53 7.68 t>2. :,!) 7.95 62.46 8.22 i,2.42 8.50 63 64 <«. :,-_' 7.10 8.08 <.3. 4.J .x. 35 63.42 8.63 64 65 64.52 7.92 64.48 8.20 64.44 8.48 64.41 a 77 65 66 65.51 8.04 65.47 8.33 65.44 8.61 t,-,. 40 8.90 66 67 i*. :,i) 8.17 8.46 66.43 8.75 t-fi. 3-.I 9.04 67 68 67.49 8.29 r.7. 4'. 8.58 67.42 8.88 67.38 9.17 68 69 68.49 8.41 68.45 8.71 68.41 9.01 68.37 9.30 69 70 69.48 8.53 69.44 8.83 69.40 9.14 69.36 9.44 70 71 70.47 8.65 70.43 8.96 70.39 9.27 70.35 9.57 71 72 71.46 8.77 71.42 9.09 7L38 9.40 71.34 9.71 73 72.46 8.90 72. 42 9.21 72. :5x 9.53 72.33 9.84 73 71 73.45 9.02 73. 41 9.34 73.37 9.66 7:i. 32 9.98 71 71. 11 9.14 74.40 9.46 74. 3ii 9.79 74.31 10.11 75 76 75.43 9.26 75.39 9.59 75.35 9.92 75.31 10.25 76 77 76.43 !». 3s 7»;. as 9.72 76.34 10.05 76.30 10.38 77 78 9.51 77.38 9.84 77.33 10.18 77. -jy 10.52 78 79 78.41 9.63 78.37 9.97 7&32 10.31 78.28 10.65 79 80 79.40 9.75 79.36 10.10 79.32 10.44 7'J. 27 10.79 80 81 XI). 10 9.87 N). 3.-, 10.22 80.31 10.57 x<). 2tl 10.92 81 82 9.99 8LS4 10.35 81.30 10.70 BL2S 11.06 82 83 S2. 3x 10.12 N2. :; i 10.47 S2. _".! 10.83 ,X2. 2 I 11.19 83 84 M. 37 10.24 M. 33 10.60 M. -J.s 10.96 M. 2.'{ 11.33 84 85 84.37 10.73 84.27 11.09 84.22 11.46 85 86 x.-,. 3., 111. Is 86.31 10. No x:,. •_>.; 11.23 .x.-,. 21 11.60 i 87 86.35 10.60 86.30 law .xc,. -_>i, 11.36 88.21 11.73 87 88 87.34 x7. :«) 11. 11 87.25 11.49 87.20 11.87 xx 89 88.34 10.85 xs. IN 11.23 88.24 11.62 xv 1'. 12.00 89 90 vi. 33 10.97 89.28 11.36 v.». 2:5 11.7.-, 89.18 12. 11 90 91 90.32 11.09 90.27 11.48 90.22 11.88 90.17 12.27 91 92 91.31 11.21 ll.i.l 91.21 12.01 91.16 12.41 92 93 ax*] 11.33 '.»•_•. 2-; 11.74 '.r.'. 20 12.14 yj. i:> 93 93.30 11. )-. 93.25 11.86 93.20 12.27 93.14 12.t,x 94 95 14.29 11.68 '.M..M 11.99 94.19 12,40 94.13 12.81 95 96 95.28 11.70 It.-,. 23 95.18 12. 53 95.12 12.95 99 97 '.HI. LN LL82 '.Ml. JJ «.»•;. 17 12. Mi '.Mi. 11 13.08 97 98 97.27 11. '.M '..7. ir, 12.79 97.10 13.22 98 99 '.tx. i:, 12.92 MX. 10 13.88 99 100 99.25 '..'... -.11 99.14 13.05 ML Q9 13.49 100 § Dep. Lat Dep. Lat. !>,,,. Lat. Dep. Lat. 1 5 83°. a*: 82H-. 82««. TABLE 4.-TRAVERSE TABLE. u g > gi/ ,0 $\A 0 &A -0 i 1 073 °/4 °S* 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.99 0.14 0.99 0.14 0.99 0.15 0.99 0.15 ! 2 1.98 0.28 1.98 0.29 1.98 0.30 1.98 0.30 2 3 2.97 0.42 2.97 0.43 2.97 0.44 2.97 0.46 3 4 3.% 0.56 3.96 0.57 3.96 0.59 3.95 0.61 4 5 4.95 0.70 4.95 0.72 4.95 0.74 4.94 0.76 5 6 5.94 0.84 5.94 0.86 5.93 0.89 5.93 0.91 6 7 6.93 0.97 6.93 .00 6.92 1.03 6.92 1.06 7 8 7.92 1. ll 7.92 .15 7.91 1.18 7.91 1.22 8 9 8.91 1.25 8.91 .29 8.90 1.33 8.90 1.37 9 10 9.90 1.39 9.90 .43 9.89 1.48 9.88 1.52 10 11 10.89 1.53 10.89 .58 10.88 1.63 10.87 1.67 11 12 11.88 1.67 11.88 .72 11.87 1.77 11.86 1.83 12 13 12.87 1.81 12.87 1.87 12.86 1.92 12.85 1.98 13 14 13.86 1.95 13.86 2.01 13.85 2.07 13.84 2.13 14 15 14.85 2.09 14.84 2.15 14.84 2.22 14.83 2.28 15 16 15.84 2.23 15.83 2.30 15.82 2.36 15.81 2.43 10 17 16.83 2.37 16.82 2.44 16.81 2.51 16.80 2.59 17 18 17.82 2.51 17.81 2.58 17.80 2.66 17.79 2.74 18 19 18.82 2.64 18.80 2.73 18.79 2.81 18.78 2.89 19 20 19.81 2.78 19.79 2.87 19.78 2.96 19.77 3.04 20 21 20.80 2.92 20.78 3.01 20.77 3.10 20.76 3.19 21 22 21.79 3.06 21.77 3.16 21.76 3.25 21.74 3.35 22 23 22.78 3.20 22.76 3.30 22. 75 3.40 22.73 3.50 23 24 23.77 3.34 23.75 3.44 23.74 3.55 23.72 3.65 24 25 24.70 3.48 24.74 3.59 24. 73 3.70 24.71 3.80 25 26 25.75 3.62 25.73 3.73 25.71 3.84 25.70 3.96 20 27 26.74 3.76 26. 72 3.87 26.70 3.99 26.69 4.11 27 28 27.73 3.90 27.71 4.02 27.69 4.14 27.67 4.26 28 29 28.72 4.04 28.70 4.16 28.68 4.29 28.66 4.41 28 30 29.71 4.18 29.69 4.30 29.67 4.43 29.65 4.56 30 31 30.70 4.31 30.68 4.45 30.66 4.58 30.64 4.72 31 31.69 4.45 31.67 4.59 31.65 4.73 31. 63 4.87 32 33 32.68 4.59 32.66 4.74 32. 64 4.88 32.62 5. 02 33 34 33.67 4.73 33.65 4.88 33.63 5.03 :<;<. do 5. 17 34 35 34.66 4.87 34.64 5.02 34.62 5.17 34.59 5. 32 35 36 30. or, 5.01 35.63 5.17 35.60 5.32 35.58 .") -IS 3fl 37 36.64 5.15 36.62 5.31 36.59 5.47 36.57 6. 63 37 38 37.63 5.29 37.61 5.45 37.58 5.62 37.56 5.78 38 39 38.62 5.43 38.60 5.60 38.57 5.76 3X. 55 5. 93 39 40 39.61 5.57 39.59 5.74 39.56 5.91 39.53 6.08 40 41 40.60 5.71 40.58 5.88 40.55 6.06 40.52 6.24 41 42 41.59 5. s;> 41.57 6.03 41.54 6.21 41.51 0. 3S» 42 43 42.58 5.98 42.55 6.17 42.53 6.36 42.50 6.54 43 11 43.57 <>. 12 43.54 6.31 43. 52 6. ISO 43.49 0. O'.l 44 45 44.56 6.26 ll.;,:; 6.46 11.. -.1 o. i;;i 44.48 6.85 45 46 45.55 6.40 45.52 6.60 45.49 !i. SI) 45.46 7.00 Hi 47 46.54 6.64 46.51 6.74 •in. -is (i. '.If, 46. 45 7. 15 47 48 •17. U 6.68 47.50 6.89 47.47 7.09 17. 11 7.30 48 49 •is. r,2 6.82 48.49 7.03 48. -in 7.24 7.45 1't 50 49.51 6.96 49.48 7.17 49.45 7.39 49. 42 7.61 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 1 82 81-3 i°. 81} *°. 81} c- 1 24 TABLE I. -TRAVERSE TABLE. o 8°. 8tf°. 8^°. 8^*. a 1 I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.50 7.10 50.47 7.32 50.44 7.54 50.41 7.76 51 52 51.49 7.24 51. 4(i 7.46 51.43 7.69 51.39 7.91 52 53 52. -IS 7.38 52. 4o 7.61 52. 42 7.83 52.38 8.06 53 54 53.47 7.52 53.44 7.75 53.41 7.98 53.37 8.21 54 55 54. 40 7.66 54. 43 7.89 54.40 8.13 54.36 8.37 55 56 7.79 55.42 8.04 55.38 8.28 55.35 8.52 56 57 7.93 5(1. 41 8.18 56.37 8.43 5»i. 34 X. 1,7 57 58 ;•:. ! i 8.07 57.40 8.32 57.36 8.57 57.32 8.82 58 59 58.43 ,s. 21 68.39 8.47 58.35 8.72 58.31 8.98 59 60 59.42 8.35 59.38 8.61 59.34 8.87 59.30 9.13 60 61 60.41 8.49 60.37 8.75 m. :;3 9.02 60.29 9.28 61 in. >D 8.63 6L36 8.90 61.32 9. It. 61.28 9.43 62 63 62.39 8.77 62.35 9.04 62.31 9.31 62.27 9.58 63 M 63.38 8.91 9.18 63.30 9.46 63.26 9.74 64 65 84.37 9.05 9.33 64.29 9.61 64.24 9.89 65 n 9.19 65.32 9.47 I',.-). 2s 9.76 65.23 10.04 66 66.35 9.32 9.61 9.90 66.22 10.19 68 9.46 67.30 9.76 67.25 10.05 67.21 10.34 68 69 9.60 9.90 68.24 10.20 68.20 10.50 69 70 i;y. 3.' 9.74 69.28 10.04 69.23 10.35 69.19 10.65 70 71 70.31 9.88 70.27 10.19 70.22 10.49 70.17 10.80 71 72 71.30 10.02 71.25 10.33 71.21 10.64 71.16 10.95 72 73 HI. lii 72. 2 1 10.47 72.20 10.79 72.15 11.11 73 74 73. 2s 10.30 10. 62 73.19 10.94 73.14 IL26 74 ::. 10.44 74. 22 10.7'i 74.18 11.09 74. 13 11.41 75 n 10. J W 75.21 10.91 75. 17 11.23 75.12 11.56 76 77 10. :_> 76.20 11.05 76.15 11.38 76.10 11.71 77 78 77.24 10. S<> 77. r.i 11.19 77. 14 11.53 77.09 LI. 87 78 79 78.23 10.99 78.18 11.34 78.13 11.68 78.08 12.02 79 80 7'.». 22 11. 13 79.17 11.48 79.12 11.82 79.07 12.17 80 81 80.21 11.27 80.16 11.62 80.11 11.97 80.06 12.32 81 82 81.20 11.41 81. 15 11.77 81.10 12.12 81.05 82 5 82.19 1 1 . .V> 82. 1 1 11.91 82.09 12.27 82.03 83 84 83. IS 83.13 83.08 S3. (12 12.78 84 85 84.17 11.83 84.12 12.20 *4.07 12. 5i> 84.01 85 8T> v,. K> n. '.»; 85.11 12.34 85.06 12.71 13.08 86 87 86.15 i2.il 86.10 i.'. is s:,. "..» 13.23 87 88 87.14 87.09 87.03 13.01 ss i 88.13 88.08 88.02 87. '.«• 13.54 89 90 9».H 12.53 89.07 12.:'! Bf.01 13.80 88. '.•:, 13. G9 90 91 90.11 90.06 13.06 90.00 13.45 BfcM 91 '.U. in 12.80 90.99 90.33 14. im 92 93 12.06 91.98 13.75 9L92 14.15 93 94 93.00 13.08 13.49 92.97 13.89 R2.91 94 95 94.08 ML 96 14.04 '.:;. vi 95 E 9ft. 07 94. U 94.88 96 97 13.50 96.0Q '.»:,. s? 97 98 97.05 96; 99 14.06 8ft sr, 14.91 98 • 08.04 97.98 97.91 • 100 99.03 98.97 98.90 14.78 OS. vi 15.21 100 j Dep. !>op Dop. Lat. i 9 82*. 81«*. 81tf°. I TABLE 4.-TKAVERSE TABLE. 0 9°. 9*° ' VA° * 9%° ' O 1 1 i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. • 1 0.99 0.16 0.99 0.16 0.99 0.17 0.99 0.17 1 2 1.98 0.31 1.97 0.32 1.97 0.33 1.97 0.34 2 3 2.96 0.47 2.96 0.48 2.96 0.50 2.96 0.51 3 4 3.95 0.63 3.95 0.64 3.95 0.66 3.94 0.68 4 5 4.94 0.78 4.93 0.80 4.93 0.83 4.93 0.85 5 6 5.93 0.94 5.92 0.96 5.92 0.99 5.91 1.02 6 7 6.91 1.10 6.91 1.13 6.90 1.16 6.90 1.19 7 8 7.90 1.25 7.90 1.29 7.89 1.32 7.88 1.35 8 9 8.89 1.41 8.88 1.45 8.88 1.49 8.87 1.52 9 10 9.88 1.56 9.87 1.61 9.86 1.65 9.86 1.69 10 11 10.86 1.72 10.86 1.77 10.85 1.82 10.84 1.86 11 12 11.85 1.88 11.84 1.93 11.84 1.98 11.83 2.03 12 13 12.84 2.03 12.83 2.09 12.82 2.15 12.81 2.20 13 14 13.83 2.19 13.82 2.25 13. 81 2.31 13.80 . 2.37 14 15 14.82 2.35 14.80 2 41 14.79 2.48 14.78 2.54 15 16 15.80 2.50 15.79 2.57 15.78 2.64 15.77 2.71 16 17 16.79 2.66 16.78 2.73 16.77 2.81 16.75 2.88 17 18 17.78 2.82 17.77 2.89 17.75 2.97 17.74 3.05 18 19 18.77 2.97 18.75 3.05 18.74 3.14 18.73 3.22 19 20 19.75 3.13 19.74 3.21 19.73 3.30 19.71 3.39 20 21 20.74 3.29 20.73 3.38 20.71 3.47 20.70 3.56 21 22 21. 73 3.44 21.71 3.54 21.70 3.63 21.68 3.73 22 23 22.72 3.60 22.70 3.70 22.68 3.80 22.67 3.90 23 24 23.70 3.75 23.69 3.86 23.67 3.96 23.65 4. (X> 24 25 24.69 3.91 24.67 4.02 24.66 4.13 24.64 4. 23 25 26 25.68 4.07 25.66 4.18 25.64 4.29 25.62 4.40 26 27 26.67 4.22 26.65 4.34 26.63 4.46 26.61 4.57 27 28 27.66 4.38 27.64 4.50 27.62 4.62 27.60 4.74 28 29 28.64 4.54 28.62 4.66 28.60 479 28.58 4.91 29 30 29.63 4.69 29.61 4.82 29.59 4.95 29.57 5.08 30 31 30.62 4.85 30.60 4.98 30.57 5.12 30.55 5.25 31 32 31.61 5.01 31.58 5.14 31.56 5.28 31.54 5.42 32 33 32.59 5.16 32.57 5.30 32.55 5.45 32.52 5.59 33 34 33.58 5.32 33. 56 5.47 33.53 5.61 33.51 5.76 34 35 34.57 5.48 34.54 5.63 34.52 5.78 34.49 5.93 35 36 35.56 5.63 35.53 5.79 35. 51 5.94 35.48 6.10 36 37 36.54 5.79 36.62 5.95 36. 49 «'.. 1 1 36.47 6.27 37 38 37.53 5.94 37.51 6.11 37. 48 6.27 37.45 6.44 38 39 38.52 6.10 38.49 6.27 38.47 6.44 38.44 6.60 39 40 39.51 6.26 39.48 6.43 39.45 6.60 3'.). 42 6.77 40 41 40.50 6.41 40.47 6.59 40.44 6.77 40.41 6.94 41 42 41.48 6.57 11. i:, 6.75 41.42 6.92 41.39 7.11 42 43 1.'. 17 6.73 42.44 6.91 12. -11 7.10 42.38 7.28 43 44 i:;. i<; 6.88 43. 13 7.07 43.40 7. _>•; 43.36 7.45 44 45 1 1. i:. 7.04 11. 11 7.23 44.38 7. 13 44.35 7.62 45 iii I.'.. 43 7.20 45.40 7.39 45. 37 7.59 45.34 7.79 46 17 !(,. 1_> 7.35 46.39 7.55 41 ;. 3i i 7.76 46.32 7. % 47 48 47.41 7.51 17. :is 7.72 47.34 7.92 47.31 8.13 48 49 is. in 7. 'i7 48.36 7.88 48.33 8.09 48.29 8.30 49 50 7.82 4!). 3.-) 8.04 49.32 8.25 49.28 8.47 50 i Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i Q «.. 80%°. 80V. 80*°. q 26 TABLE 4.-TRAYERSE TABLE. u 9*. 9>i0. 9H°. 9**. 1 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 50.37 7.98 50.34 8.20 50.30 8.42 50.26 8.64 51 52 51.36 8.13 8.36 51.29 8.58 51.25 8.81 52 53 52.35 8.29 52.31 8.52 52.27 8.75 52.23 8.98 53 54 53.34 8.45 63.30 8.68 53. 2«i 8.91 53.22 9.14 54 55 54.32 8.60 54.28 8.84 54.25 9.08 54.21 9.31 55 50 55.31 a 76 55.27 9.00 55.23 9.24 55.19 9.48 56 57 56.30 8.92 9.16 56.22 9.41 56.18 9.65 57 58 57.29 9.07 57.25 9.32 57.20 9.57 57.16 9.82 58 59 58.27 9.23 58.23 9.48 58.19 9.74 58.15 9.99 59 60 59.26 9.39 59.22 9.64 59.18 9.90 59.13 10.16 60 61 60.25 9.54 60.21 9.81 60.16 10.07 60.12 10.33 61 62 61. 24 9.70 61.19 9.97 61.15 10.23 61.10 10.50 62 63 62.22 9.86 62.18 10.13 62.14 10.40 62.09 10.67 63 64 63.21 10.01 63.17 10.29 63.12 10.56 63.08 10.84 64 65 64.20 10.17 (A. 15 10.45 64.11 10.73 64.06 11.01 65 M 65.19 10. 32 65.14 10.61 65.09 10.89 65.05 11.18 66 67 66.18 10.48 66.13 10.77 ftft. 06 11.06 66.03 11.35 67 68 67.16 10.64 t.7. 12 10.93 67.07 11.22 67.02 11.52 68 69 68.15 10.79 08.10 11.09 68.05 11.39 68.00 11.69 69 70 G9.14 10.95 (59.09 11.25 69.04 11.55 68.99 11.85 70 71 70.13 11.11 70.08 11.41 70.03 11.72 69.97 12.02 71 72 71.11 11.26 71.08 11.57 71.01 11.88 70.96 12.19 72 73 72.10 11.42 72.05 11.73 72.00 12.05 71.95 12.36 73 74 73.09 11.58 73.04 11.89 72.99 12.21 72.93 12.53 74 75 74.08 11.73 74.02 12.06 73.97 12.38 73.92 12.70 75 76 75.06 11.89 75.01 12.22 74.96 12.54 74.90 12.87 76 77 76.05 12.05 76.00 12.38 75.94 12.71 75.89 13.04 77 78 77.04 12.20 76.98 12.54 76.93 12.87 76.87 13.21 78 79 78.03 12.36 77.97 12.70 77.92 13.04 77.86 13.38 79 80 79.02 12.61 78.96 12.86 78.90 13.20 78.84 13.55 80 81 80.00 12. »;7 70. 0.5 13.02 79.89 13.37 79.83 13.72 81 82 80.99 12.83 80.93 13.18 .si), vs 13.53 80.82 13.89 82 83 M.'.is 12.98 81.92 13.34 M.Mi 13.70 BL80 14.06 83 84 v_>. 07 13.14 sj. 01 13.50 ,V_>. !tf 13.86 82.79 14.23 84 85 M;. or, I3.:tt) M. SO M. v;t 14.03 83.77 14.39 85 86 84.94 i.i. j:, M. s* l:i. s_> 84.83 14.19 84.76 14.56 86 87 .ST.. >M 13.61 V--,. S7 13.98 85.81 i i. :i»; 85.74 14.7:< 87 88 86.92 13. 77 Sll. .Mi 14.15 .Mi. 7'.l 14.52 Mi. 7:5 14.90 88 89 87.90 S7. VI 14.31 87.78 87.71 15.07 89 90 .vs. VI 14.08 88.83 11. 17 88.77 14.85 vs. 70 15.24 90 91 V0. vs 14.24 S'.t. S-J 14.63 SO. 7.-, 15.02 Ml. «,0 15.41 91 92 oo. >; 14.39 90.80 90.74 15.18 Ml 67 15.58 92 93 91.86 91.79 14.95 91. 72 15.35 91. C>6 15.75 93 94 ()•_>. 8 ; 14.70 i:>. 1 1 92.71 15,51 g&64 15.92 94 95 i:.. .'7 93.70 15.68 ffa 16. og 95 '.Mi !»4. vj 94.75 i.-,. i:? M.68 15.84 OJ.« 1 16.26 96 97 «.«:,. >i I.'.. 17 95.74 15.59 UV 1,7 16,01 H.OI 16.43 97 H 96.73 15.75 06.08 «>,. :,v 16.60 98 99 07.7s 15.49 97.71 15.91 07.. 4 16.34 07.57 16.77 99 100 98.77 15.64 98.70 Hi. 117 M*6I 16.50 W.M UL« 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | I 81". MJtf 80H'. 80Ji'. 1 27 TABLE 4.-TRAVERSE TABLE. o 1C °. 10J <•• IQi l>. 10 r. 0 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. \ i 0.98 0.17 0.98 0.18 0.98 0.18 0.98 0.19 j 2 1.97 0.35 1.97 0.36 1.97 0.36 1.96 0.37 2 3 2.95 0.52 2.95 0.53 2.95 0.55 2.95 0.56 3 4 3.94 0.69 3.94 0.71 3.93 0.73 3.93 0.75 4 5 4.92 0.87 4.92 0.89 4.92 0.91 4.91 0.93 5 6 5.91 1.04 5.90 1.07 5.90 1.09 5.89 1.12 6 7 6.89 1.22 6.89 1.25 6.88 1.28 6.88 1.31 7 8 7.88 1.39 7.87 1.42 7.87 1.46 7.86 1.49 8 9 8.86 1.56 8.86 1.60 8.85 1.64 8.84 1.68 9 10 9.85 1.74 9.84 1.78 9.83 1.82 9.82 1.87 10 11 10.83 1.91 10.82 1.90 10.82 2.00 10.81 2.05 11 12 11.82 2.08 11.81 2.14 11.80 2.19 11.79 2.24 12 13 12.80 2.26 12.79 2.31 12.78 2.37 12.77 2.42 13 14 13.79 2. 43 13. 78 2.49 13.77 2.55 13.75 2.61 14 15 14.77 2.60 14.76 2.67 14.75 2.73 14. 74 2.80 15 16 15.76 2.78 15.74 2.85 15.73 2.92 15.72 2.98 16 17 16.74 2.95 10. 73 3.03 16.72 3.10 16.70 3.17 17 18 17.73 3.13 17.71 3.20 17.70 3.28 17. 68 3.36 18 19 18.71 3.30 18.70 3.38 18.68 3.46 18.67 3.54 19 20 19.70 3.47 19.68 3.56 19.67 3.64 19.65 3.73 20 21 20.68 3.65 20.66 3.74 20.65 3.83 20.63 3.92 21 22 21.67 3.82 21.65 3.91 21.63 4.01 21.61 4.10 22 23 22.65 3.99 22.63 4.09 22.61 4.19 22.60 4.29 23 24 23.64 4.17 23. 62 .27 23. (10 4.37 23.58 4.48 24 2.5 24. 62 4.34 24.60 .45 24.58 4.56 24.66 4. (1(1 25 26 25.61 4.51 25.59 .63 25.66 4.71 2a. 54 L85 26 27 26.69 4.69 2»>. 57 .80 4.92 26. 53 5.04 27 28 27.57 4.86 27.55 .98 27.53 5.10 27.51 5.22 28 29 28.56 5.04 28.54 a. 1(1 28.51 5.28 28.49 5.41 29 30 29.54 5.21 29.52 5. 34 29.50 5.47 29.47 5.60 30 31 30.53 5.38 30.51 5.52 30. 48 5.65 30.46 5.78 31 32 81.fi] 5.56 31.49 5.69 81.46 5.83 31.44 5.97 32 33 32.50 5.73 32.47 5.87 32. 4a 6.01 32.42 c>. Id 33 34 33.48 5.90 33. 4(1 6.05 33. 43 6.20 33.40 (1. 34 34 35 34.47 6.08 34.44 6.23 34.41 6.38 34. 39 6.63 35 M 35.45 6.25 35.43 (1.41 35. 40 6.66 3.5. 37 (1.71 36 37 3li. 44 (i. 42 3(1.41 ft. fig 86.38 6.74 36. 35 6. 10 37 38 37.42 6.60 37.39 (i. 7H 37.36 6.92 37.33 7.09 38 39 38.41 6.77 38.38 6.94 38.35 7.11 38.32 7.27 39 40 39.39 6.95 39.36 7.12 39.33 7.29 39.30 7. 4(1 40 41 40.38 7.12 40.35 7.30 40.31 7.47 40.28 7.65 41 42 41.86 7. 21) 4 1 . 33 7.47 41.30 7.65 41.26 7,83 42 43 42.35 7.47 42.81 7.65 42. 2X 7.84 42.25 8.02 43 44 4X 33 7.64 43. 311 7.83 43. 2'1 8.02 43. 23 8.21 44 4.5 44.32 7.81 4 1. 2X 8.01 44.25 S. 20 14.21 8.39 45 46.80 7.99 4.-.. 27 8.19 45.23 8.38 45. i-.i x. r>x it; 17 4H. '_".» X. |.i 46.25 X. M 46. 21 X. 57 I'l. IX 8.77 17 48 47. 27 8.34 47. 23 8.54 47.20 X. 75 47. Hi 8.95 48 18.26 8.51 48.22 8.72 48.18 8.93 48.14 9.14 49 50 49.24 8.68 49.20 8.90 49.16 9.11 49.12 9.33 50 i Dep. Lut. Dep. Lat. Dep. Lat. Dep. Lat. 1 § x< •t 7!»:< f°- 791. i°. 79> i°. X A 28 TABLE 4. -TRAVERSE TABLE. 0 10°. io>*0. 10^°. io»r. 0 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i 51 50.23 8.86 50.19 9.08 50.15 9.29 50.10 9.51 51 52 51.21 9.03 51.17 9.25 51.13 9.48 51.09 9.70 52 53 52.19 '.). I'd 52.15 9.43 52.11 9.66 52.07 9.89 53 54 53.18 9.38 53.14 9.01 53.10 '.). vi 53.05 10.07 54 55 54.10 9.55 54.12 9.79 54.08 to! 02 54.03 10.26 55 50 55.15 9.72 55.11 9.90 55.06 10. 21 55.02 10.45 50 57 50.13 9.90 56.09 10.14 56.05 10.39 69.00 10,63 57 58 10.07 57.07 10.32 57.03 10.57 50.98 10.82 58 59 58.10 10.25 58.06 10.50 58.01 10.75 57.96 11.00 59 60 59.09 10.42 59.04 10.68 59.00 10.93 58.95 11.19 60 Gl 60.07 10.59 60.03 10.85 59.98 11.12 59.93 11.38 61 M 6L06 10.77 01.01 11.03 60.96 11.30 60.91 11.56 62 63 8X04 10.94 01.99 11.21 61.96 11.48 61.89 11.75 (3 03.03 11.11 62.98 11.39 62.93 11.06 62*88 11.94 64 64.01 11.29 63.90 11.57 63.91 11.85 63.86 12.12 65 00 05. 00 11.40 64.95 11.74 64.89 12.03 64.84 12.31 60 97 05.96 11.03 65.93 11.92 65.88 12.21 65.82 12.50 68 06.97 11.81 oo. yi 12.10 60.86 12.39 66.81 12.68 68 09 11.98 12.28 67.84 12.57 C7.79 12.87 69 70 68.94 12.10 68.88 12.40 68.83 12.76 68.77 13.06 70 71 69.92 12.33 69.87 12.03 69.81 12.94 •9.75 13.24 71 70.91 12.50 70.85 12.81 70.79 13.12 70.74 13.43 72 73 12.68 71.83 12.99 71.78 13.30 71.72 13. 02 73 74 7-2. ss 12.85 7_>. S2 13.17 72. 70 13.49 72.70 13.80 74 75 73.86 13.02 73.80 13.35 73.74 13.07 73.68 13.99 7:. 70 74.85 13.20 74.79 13.52 74.73 13.85 74. 67 14.18 7f, 77 75.83 13.37 75.77 13.70 75.71 14.03 75.65 14.36 77 78 70. s'J 13.54 70.76 13.88 76.69 14.21 76.03 14.55 78 79 77.M> 13.72 77.74 14.06 77.68 14.40 77.01 14.74 79 80 78.78 13.89 78.72 14.24 78.66 14.58 78.60 14.92 80 81 79.77 14.07 79.71 14.41 79.04 14.76 79.58 15.11 81 82 .si i.7.-> 14.24 80.09 14.59 80.63 14.94 80.56 15.29 82 83 81.74 14.41 81.68 14.77 81.61 15.13 81.54 15.48 83 84 82.72 14. .59 8X66 14.95 VJ. -,<• 15.31 s-j. :« 15.67 84 85 83.71' 14. 7t, 15.13 83.58 15.49 83.51 15.85 85 86 VI. .,'.» 14.93 84.63 15.30 • 84.56 15.67 SI. i'.l 16.04 80 87 88.68 15.11 15.48 85.54 15. 85 85.47 it ;.•_-:* 87 88 80.66 15.28 80.60 15.66 Mi. M 16.04 86.46 16.41 88 89 87.65 15.45 s7. :,s 15.84 87.51 16.22 87.44 10. IK) 98 90 88.63 15.03 ss. :*\ 16.01 ss. .|'.» 16.40 88.42 16.79 90 91 89.62 89.55 16.19 89, -is 89, i» 16.97 91 90.00 90.53 16.37 '.Ml. 40 16.77 90.39 17.16 92 93 91.59 10.15 91.53 91.44 16.95 M.37 17.35 93 94 92.57 16.32 92.50 16.73 «.rj. 43 17.13 '.r_>. :;:, 17.53 94 95 98.56 16.50 '.(.{. is 16.90 93.41 17.. SI '.« :u 17.7'.' 95 16 94,54 '.M. ;; 94.39 17.49 94.32 17.91 96 97 95.53 16,84 '.i-,. i:, 17.28 ••:,. :is 96.30 18.09 97 98 '.H, :,i 17.02 96.44 17.44 98.28 1 s. _>.s 98 99 97.00 17.19 97.42 97.34 18.04 97.26 18.47 99 '.'X.4X 9&40 17.79 98.33 18.22 98.25 18.65 100 | Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | I 80°. 79^°. 79H*. 79tf;. i 29 TABLE 4.-TKAVKUSE TABLE. G 1] ID 4°. ii} 4°. n» C- 0 V I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 1 0.98 0.19 0.98 0.20 0.98 0.20 0.98 0.20 1 2 1.96 0.38 1.96 0.39 1.96 0.40 1.96 0.41 2 3 2.94 0.57 2.94 0.59 2.94 0.60 2.94 0.61 3 4 3.93 0.76 3.92 0.78 3.92 0.80 3.92 0.81 4 5 4.91 0.95 4.90 0.98 4.90 1.00 4.90 1.02 5 6 5.89 1.14 5.88 1.17 5.88 1.20 5.87 1.22 6 7 6.87 1.34 6.87 1.37 6.86 1.40 6.85 1.43 7 8 7.85 1.53 7.85 1.56 7.84 1.59 7.83 1.63 8 9 8.83 1.72 8. S3 1.76 8.82 1.79 8.81 1.83 9 10 9.82 1.91 9.81 1.95 9.80 1.99 9.79 2.04 10 11 10.80 2.10 10.79 2.15 10.78 2.19 10.77 2.24 11 12 11.78 2.29 11.77 2.34 11.76 2.39 11.75 2.44 12 13 12.76 -2.48 12.75 2.54 12.74 2.59 12.73 2.65 13 14 13.74 2.67 13.73 2.73 13.72 2.79 13.71 2.85 14 15 14.72 2.86 14.71 2.93 14.70 2.99 14.69 3.05 15 16 15.71 3.05 15.69 3.12 15.68 3.19 15.66 3.26 16 17 16.69 3.24 16.67 3.32 16.66 3.39 16.64 3.46 17 18 17.67 3.43 17.65 3.51 17.64 3.59 17. 62 3.66 18 19 18.65 3.63 IS. 63 3.71 18.62 3.79 18.60 3. S7 19 20 19.63 3.82 19.62 3.90 19.60 3.99 19.58 4.07 20 21 20.61 .01 20.60 4.10 20.58 4.19 20.56 4.28 21 22 21.60 .20 21.58 4.29 21.56 4.39 21.54 4.48 22 23 22.58 .39 22.56 4.49 22.54 4.59 22.52 4.68 a 24 23. fti .58 23.54 4.68 23.52 4.78 23.50 4.89 24 25 24.54 .77 24.52 4.88 24.50 4.98 24.48 5.09 25 26 25.52 4.96 25.50 5.07 25.48 5.18 25.46 5. 29 26 27 26.50 5.15 26.48 5.27 26.46 5.38 26.43 5.50 27 28 27.49 5.34 27.46 5.46 27.44 5.58 27.41 5.70 28 29 28.47 5.53 28.44 5.66 28.42 5.78 28.39 5.91 29 30 29.45 5.72 29.42 5.85 29.40 5.98 29.37 6.11 30 31 30.43 5.92 30.40 6.05 30.38 • 6.18 30.35 6.31 31 32 31.41 li. 1 1 31. 39 6.24 31.36 r>. :w 31.33 6.52 32 33 :«. 3«.» 6.30 32.37 6.44 32.34 6.58 32.31 6.72 33 34 33.38 6.49 33.35 (l. r,:< 33.32 6.78 33.29 6.92 34 35 34.36 6.68 34.33 <-,. s:t 34. 30 (•>. MX 34.27 7.13 35 36 35.34 6.87 35.31 7.02 35.28 7.18 35.25 7.33 36 37 36.32 7.06 36.29 7.22 36.26 7.38 36.22 7.53 37 38 37.30 7.25 37.27 7.41 37.24 7.58 37.20 7.74 38 39 38.28 7.44 38.25 7.r,i :«. 22 7.78 3X. IS 7.94 39 40 39.27 7.63 39.23 7.80 :v.». 20 7.97 39. 10 8.15 40 41 40.25 7.82 40.21 8.00 40.18 8.17 40.14 8.35 41 42 41.23 8.01 41.19 8.19 41.16 8.37 41.12 8.55 42 }:< 42,21 8.90 42.17 8.39 42.14 8.57 42.10 8.76 43 44 43.19 8.40 43.15 8.58 •n. 12 8.77 43.08 8.96 44 11. 17 8.59 44.14 8.78 44.10 8.97 44.06 it. 1C, 45 H 8.78 45.12 S. <»7 45.08 9.17 I.YOI 9.37 46 47 •»<;. i i 8.97 •It,. Id 9.17 46.06 9.37 46.02 9.57 47 48 17. ]•_' 9.16 '.». :«i 47. 01 !i. :,: 46.99 9.77 48 49 48.10 9.35 '.). .V, 9.77 47.97 9.96 49 50 i'MiS 9.54 id. 04 9.75 49.00 9.97 48.95 10.18 50 | I. -p. Lat. Dep. Lai. Dep. Lat. Dep. Lat. I 3 7! o 78* r. 78> K 78} 4°. i 30 TABLE 4. -TRAVERSE TABLE. I .... ux-. 1W. IWT. [ Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 51 50.06 9.73 50.02 9.95 19. '.IS 10.17 49.93 10.39 51 52 5l!(W 9.92 51.00 10.14 50.96 10.37 50.91 10.59 52 53 10.11 51.98 10.34 .-.I.'.M 10.57 6L89 10.79 53 54 58,01 10.30 10.53 52.92 10.77 52.87 11.00 54 55 53.99 10.49 53.94 10.73 53.90 10.97 53.85 11.20 55 56 54.97 10.60 54.92 10.93 54.88 11.16 54.88 11.40 56 57 55.95 10. ss •y>. (HI 11.12 55.86 11.36 55.81 11.61 57 58 56.93 11.07 11.32 56.84 11.56 56.78 11.81 58 59 11.26 57! S7 11.51 57.82 11.76 57.76 12.01 59 00 58.90 11.45 58.85 11.71 58.80 11.96 58.74 12.22 60 61 59.88 11.64 59.83 11.90 59. 78 12.16 59.72 12.42 61 62 60.86 11.83 60.81 12.10 12.36 60.70 12.63 62 n 12.02 61.79 12.29 6L74 12.56 61.68 12.83 63 12.21 62.77 12. 49 62. 72 12.76 62.66 13.03 64 65 <>3.sl 12.40 03. 7") 12.68 63.70 12.96 03.01 13.24 65 66 12.59 64! 73 12.88 64.68 13.16 64.62 13.44 66 65.77 1-'. 7s 65.71 13.07 65.65 13.36 65.60 13.64 67 66.75 12.98 66.69 13.27 66.63 13.56 66.58 13.85 68 67.73 13.17 67.67 13.46 67.61 13.76 67.55 14.05 69 70 68.71 13.36 68.65 13.66 68.59 13.96 68.53 14.25 70 71 13.55 69.64 13.85 69.57 14.16 69.51 14.46 71 72 70.68 13.74 70.62 14.05 70.55 14.35 70.49 14.66 72 73 71.66 13.93 71.60 14.1.M 71.53 14.55 71.47 14.87 73 74 72.64 14. 12 72. 58" 14.44 72.51 14.75 72.45 15.07 74 7:, 73.62 14.31 73V56 14.63 73.49 14.95 73.43 15.27 75 76 74.60 14.50 74$ 14.83 74.47 15.15 74.41 15.48 76 77 75. 59 14. 69 75.52 15.02 75.45 15.35 75.39 15.68 77 78 76.57 14.88 76.50 15.22 76.43 15.55 76.37 15.88 78 79 77.55 15.07 77.48 15.41 77.41 15.75 77.34 16.09 79 80 78.53 15.26 78.46 15.61 78.39 15.95 78.32 16.29 80 81 79.51 15.46 79.44 15.80 79.37 16.15 79.30 16.49 81 82 80.49 16.66 80.42 10.00 80.35 16.35 80.28 16.70 82 83 81.48 15. 84 81.41 16.19 SI. 33 16.68 81.26 16.90 83 84 *•_>. in ie!o3 82.39 82.31 16.75 S-J. -J4 17.11 M 85 S3. I » 16.22 S3. 37 16.68 S3. I'M 16.95 83.22 17.31 85 86 84.42 ir.. il 10. 7s B4.-27 17. !.-• 84.20 17.51 86 87 so. 40 16.60 V,. 33 16.97 17.3.', 85.18 17.72 87 88 so. :is 16.79 17.17 s.!: •]•! 17.54 so. n; 17.92 88 89 s7. 30 10. '.IS 87.29 17.36 87.21 17.74 87.14 18.12 89 90 88.35 17.17 vs. '.'7 17.88 vs. in 17.94 88.11 18.33 90 91 89.33 89.25 •VI. 17 l.s. 1 t SO. 00 18.53 91 92 '.XI. .51 90.23 17.98 18.74 06 !»l. 13 18.54 9L06 U3 94 !)•_> JJ 17. "| 92.19 18.74 I'.l. It 94 95 '.'3. •_'."! 18.94 93.01 19.35 95 M 04.34 94.16 IS. 73 I'.l. M '.M. '•'.» 96 97 95.22 Is. .M 19.34 "l.'»7 19.78 97 06 '..v,. -A} Is. 70 96.12 '.!.">. 'I.', 19.96 98 99 <<7. IS 18.89 97.10 07.01 19.74 'K'i '){ 20.16 99 100 98.16 19.08 OB. 08 '.17. if.i 19.94 «!•:! in) 20.96 100 | D«p. L«t Dep. Lat. Dep, Dep. Lat. | 8 "' 78*'. 78*-. 8 31 TABLE 4. -TRAVERSE TABLE. 0 te 12 0 12} ff. \1\ <2°- tig r- i 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.98 0.21 0.98 0.21 0.98 0.22 0.98 0.22 i 2 1.96 0.42 1. 9,r) 0.42 1.95 0.43 1.95 0.44 2 3 2.93 0.62 2.93 0.64 2.93 0.65 2.93 o. or, 8 4 3.91 0.83 3.91 0.85 3.91 0.87 3.90 0.88 4 5 4.89 .04 4.89 1.06 4. SS .08 4. SS .10 5 6 5.87 .25 5. 80 1.27 5.86 .30 5.85 .32 6 7 6.85 .46 6.84 1.49 6.83 .52 6.83 .54 7 8 7.83 .66 7.82 1.70 7.81 .73 7.80 .77 8 9 8.80 .87 8.80 1.91 8.79 .95 8.78 .99 9 10 9.78 2.08 9.77 2.12 9.76 2.16 9.75 2.21 10 11 10.76 2.29 10.75 2.33 10.74 2.38 4 10.73 2.43 11 12 11.7-1 2.49 11.73 2.55 11.72 2.60 11,70 2.65 12 13 12.72 2.70 12.70 2.70 12.69 2.81 12.68 2.87 13 14 13.69 2.91 13.68 2.97 13.67 3. 03 13.65 3.09 14 15 14.67 3.12 14.66 3.18 14. 04 3.25 L4.63 3.31 15 16 15.65 3.33 15.64 3.39 15.62 3.40 15.61 3.53 16 17 16.63 3.53 16. 61 3.JB1 16.60 3.68 16.58 3.75 17 18 17. til 3.74 17.59 3.82 17. 57 3.90 17.56 3.97 18 19 18.58 3.95 18.57 4.03 18.55 4.11 18.53 4.19 19 20 19.50 4.16 19.54 4.24 19.53 4.33 19.51 4.41 20 21 20.54 4.37 20.52 4.46 20.50 4.55 20.48 4.63 21 22 21.52 4.57 21.50 4.67 21.48 4.76 21.46 4. SO 22 23 22.50 4.78 22.48 4.88 22.45 4.98 22.43 5.08 23 24 2148 4.99 23.45 5.09 23.43 5.19 23.41 5.30 24 25 2J. !."• 5.20 24. 43 5.30 24.41 5.41 24.38 5.52 25 86 25.43 5.41 25.41 5.52 25.38 25.36 5.74 26 28.41 5. 61 26.39 5.73 26.36 5:84 26. 33 5.96 27 28 27.39 5.82 27. 30 5.94 27.34 8.06 27.31 6.18 28 29 28.37 6.03 28.34 6.15 28.31 6.28 28.28 6.40 29 30 29.34 6.24 29.32 0.37 29.29 6.49 29.26 6.62 30 31 30.32 6.45 30.29 6.58 30. 27 6.71 30.24 6.84 31 32 31.30 6.65 31.27 6.79 31.24 6.93 31.21 7.00 32 33 32.28 6.86 32.25 7.00 32. 22 7.14 32. 19 7.28 33 34 7.07 :*:;. •_>:; 7.21 33.19 7.36 33.16 7.50 34 35 34.24 7.28 34.20 7.43 34, 17 7.58 34.14 7.72 35 86 35.21 7.48 35.18 7. »V4 35. r. 7.79 85.11 7.95 36 37 Z.69 311. 10 31 ;. i-j 8.01 36.09 8.17 37 38 37.17 7. '.»o 37. 13 8.06 37. 10 8.22 8.39 38 39 38.15 8.11 38.11 8.27 38.08 8.44 38.04 8. (il 39 40 39.13 8.32 39.09 8.49 ;><>. 05 8.66 39.01 8.83 40 41 40.10 8.52 40.07 8.70 40.03 8.87 39.99 9.05 41 42 41.08 41.04 8.91 41.00 9.09 40.96 9.27 42 43 8.94 42. (12 9.12 41.98 9.31 41.94 9.49 43 44 4:i.iil 9.15 43.00 9.34 42. '.Hi 9.52 42.92 9.71 44 45 44.02 9.36 9.55 43.93 9.74 43. 89 9.93 45 46 44.99 9.56 44.95 9.76 44.91 9.96 10.15 46 47 45.97 9.77 45.93 9.97 45.89 10.17 45.84 10.37 47 48 46.95 9.98 46.91 10.18 46.86 10.39 46.82 10.59 48 49 10.19 47. ss 10.40 47.84 10.61 47.79 10.81 49 50 48.91 10.40 48.86 10.61 48.81 10.82 48.77 11.03 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 Q 7i i°. 77' i°- 77) 4°. 77) r. I O 32 TABLE 4.-TRAVKKSK T \BI.E. 1 12°. MP. 1W. r 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 49.89 10.00 49.84 10.82 11.04 49.74 11.26 51 52 60.80 l.l. M 50.82 11.03 50.77 11.25 50. 72 11. IN 53 51.84 11.02 51.79 11.25 51.74 11.47 51.69 11.70 53 54 11.23 52.77 11.46 52.72 11.09 52.67 11.92 54 55 53.80 11.14 11.67 53.70 11.90 53.64 12 14 55 56 54.78 11.04 54.72 11.88 54. 07 12.12 64.62 12.3'. 57 55.75 11.85 55.70 12.09 12.34 12. 5X 58 66.73 12.00 50. (« 12.31 50. 63 12.55 56.57 12. MI 58 59 57.71 12.27 57.06 12.52 57.00 12.77 57.55 13. 02 59 60 58. 69 12. 47 58.03 12. 73 68,58 12.99 68.52 13.24 M 61 59.67 12. OX 59.61 12.94 59.55 13.20 59.50 13. 40 61 62 6*66 12.89 00.59 13.10 00. 53 13.42 00.47 13.08 62 61.02 13.10 (.1 .-,7 13.37 01.51 13. (14 61.48 13.90 63 64 02. M) 13.31 13.58 13.85 11. 12 65 63.58 13.51 M..VJ 13.79 03. 4(i 14.07 03.40 14.35 05 66 64.50 13.72 64.50 14.00 64.44 14.29 64.37 14.57 66 67 65.54 13. 93 05.47 14.22 65.41 14.50 14. 79 i 7 68 66.51 14.14 14.43 66.39 1 I. 72 15.01 68 69 67.49 14.35 67.43 14.1,4 67.36 14.93 67.30 15.23 69 70 68.47 14.55 68.41 14.85 68.34 15.15 08.27 15. 45 70 71 69.45 14. 70 Bit 38 15.06 69.32 15.37 69.25 71 72 70.43 14.97 70.36 15.28 70.29 15.58 7J 73 71.40 15.18 71.34 15.49 71.27 15.80 71.20 lo.ll 73 74 72. 3S 15. 39 15.70 7J. _'•") 16.02 72.18 16. 33 75 73.30 15.59 73.29 15. !H 16.23 7:;. I.'. 16. K 76 74.34 15.80 74.27 10.13 74.20 16. 45 74.13 16, 77 70 77 75.32 16.01 75.25 10.34 75.17 75.10 16.99 77 78 76.30 16.22 76.15 16.88 76.08 17. 21 78 79 77.27 16.43 77.13 17.10 77.05 17.44 79 80 78.25 10. 03 78.18 10.!«7 78.10 17.32 7v n:; 17.66 80 81 79.23 16.84 7'.'. 10 17.19 ML 08 17.53 79.00 17.88 81 82 17.05 80.13 17.40 80. 00 17.75 79. 98 18. 10 82 83 •1.19 17.26 .SI. 03 17.90 so 98 18.32 83 84 82. it; 17.4ti 83.01 IS. ]x 84 85 83. 14 18.04 is. 40 82.90 18.70 85 86 84. 12 17.88 S4.04 83.90 Iv, 1 s ::. B8 87 85.10 IN. !•• 84.94 18.83 19.20 87 88 80.08 18.30 80.00 18.67 85.91 19.05 88 S'l 87.06 18.50 86.97 18. 8S 19.26 • 90 88.03 18.71 87.95 19,10 87.78 90 91 ,VM)1 18.92 88.93 19.31 ss.st 19.70 88.76 20.08 91 92 89.99 19.13 89.91 92 93 90. 97 19.34 90.88 •a 80 93 94 91.95 19.94 8L77 20.35 20.75 94 96 92.92 19.75 !'2. X 1 95 93.90 19.90 93.81 21. 1!' 96 97 •4.88 20. 17 20. 1 •» 94.70 20.99 97 98 ft 38 95.77 98 99 'JO .-,N 96.75 21.01 21.43 99 100 97.81 'JO. 7H 97.72 21.22 21.64 97.53 100 Dep. ML Dep. 1,:!!. Dep. I.,' § I 78V 77H". mr. 41479—10- TABLE 4.-TRAVERSE TABLE. b 13°. 13M°- ny2°. 1334°. U I 1 Lat. Dep. Lat, Dep. Lat. Dep. Lat. 'Dep. I 1 0.97 0.22 0.97 0.23 0.97 0.23 0.97 0.24 1 2 1.95 0.45 1.95 0. 4C> 1.94 0.47 MM 0.48 2 3 2.92 0.67 2.92 O.C9 2.92 0.70 2.91 0.71 3 4 3.90 0.90 3.89 0.92 3.89 0.93 3.89 0.95 4 5 4.87 1.12 4.87 1.15 4.86 1.17 4.86 1.19 5 6 5.85 1.35 5.84 1.38 5.83 1.40 5. S3 1.43 6 7 6.82 1.57 6.81 1.60 6.81 1.63 6.80 1.66 7 8 7.79 1.80 7.79 1.83 7.78 1.87 7.77 1.90 8 9 8.77 2.02 8.76 2.06 8.75 2.10 8.74 2.14 9 ' 10 9.74 2.25 9.73 2.29 9.72 2.33 9.71 2.38 10 11 10.72 2.47 10.71 2.52 10.70 2.57 10.68 2.01 11 12 11.69 2.70 11.68 2.75 11.07 2.80 11.06 2.85 12 13 12.67 2.92 12.65 2.98 12.64 3.03 L2.63 3.09 13 14 13.64 3.15 13.63 3.21 13. 61 3.27 13. GO 3.33 14 15 14.62 3.37 14.60 3.44 14.59 3.50 14.57 3.57 15 16 15.59 3.60 15.57 3.67 15.56 3.74 15.54 3. SO 16 17 16.56 3.82 16.55 3.90 16.53 3.97 16.51 4.04 17 18 17.54 4.05 17.52 4.13 17.50 4.20 17.48 4.28 18 19 18.51 4.27 18.49 4.35 18.48 4.44 18.46 4.52 19 20 19.49 4.50 19.47 4.58 19.45 4.67 19.43 4.75 20 21 20.46 4.72 20.44 4.81 20.42 4.90 20.40 4.99 21 22 21.44 4.95 21.41 5.04 21.39 5.14 21.37 5.23 22 23 22.41 5.17 22.39 5.27 22.36 5.37 '->•_>. 34 5.47 23 24 23.38 5.40 23.36 5.50 23.34 5. W 23.31 5.70 24 25 24. 36 5.62 24. 33 5.73 24.31 :,. si 24.28 5.94 25 26 25.33 5.85 25.31 5.96 25.28 (i. 07 25.25 6.18 20 27 26.31 6.07 26.28 6.19 26. 25 c>. 30 20. 23 6.42 27 28 27.28 6.30 27.25 6.42 27.23 6.54 1!7. 20 6.06 28 29 28.26 <;. f>_> 28.23 6.65 28.20 6.77 28.17 6.89 29 30 29.23 6.75 29.20 6.88 29.17 7.00 29.14 7.13 30 31 30.21 6.97 30.17 7.11 30.14 7.24 30.11 7.37 31 32 31.18 7.20 31.15 7.33 31.12 7.47 31.08 7.61 32 33 32.15 7.42 32.12 7.56 32.09 7.70 32.06 7.84 33 34 33.13 7. 65 33.09 7.79 33.06 7.94 8.08 34 35 34.10 7.87 34.07 8.02 34. 03 8.17 34.00 8.32 3G 35.08 8.10 35.04 8.25 35.01 8.40 84.07 8.50 37 36.05 8.32 36. 02 s. 4x 35. !»N 8.64 8.79 37 38 37. 03 8.55 36.99 8.71 36.95 8.87 86.91 9.03 38 39 38.00 8.77 37.96 8.94 37.92 9.10 37.88 9.27 39 40 MS. U7 9.00 :;s. 94 9.17 38.89 9.34 38.85 9.51 40 41 39.95 9.22 39.91 9.40 9.57 39.83 9.75 41 42 40.92 9.45 •ID. sx 9.63 40.84 !». M) 40.80 9.98 42 43 41.90 9.67 41.86 '.). xr, 41.81 10.04 41.77 10.22 43 44 42.87 0.90 42.83 10.08 42.78 10.27 42.74 10. 46 44 45 43. s:, 10.12 43.80 10.31 43.76 10.51 43.71 10. 70 45 46 44.82 10.35 44.78 10.54 44.73 10.74 44.68 10.93 46 47 45.80 10.57 45. 75 10.77 4.-,. 70 10.97 45.65 11.17 47 48 46.77 10.80 46.72 11.00 •ill (,7 11.21 11.41 48 49 47.74 11.02 47.70 11.23 47.65 11.44 17. CD 40 50 48.72 11.25 48.67 11.46 48.62 11.67 48.57 11.88 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lnt. 1 1 77°. 76%°. 76^". 76>r. £ s 34 TAIH.i: 1.— TRAVERSE TAIJLK. i 13° 13)4° 13^° 13»4° 0 f Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I :,i 11.47 49.64 11.09 49.59 11.91 49.54 12.12 51 52 11.70 60. (,2 11.92 60.66 12.14 50.51 12.36 52 53 51.64 11.92 61.59 12.15 51.54 12.37 51.48 12.60 53 54 62.66 12.38 52. 51 12.61 52.45 12.84 54 55 12.37 53.54 12.61 53.48 12.84 53.42 13.07 55 5G 54.51 12.84 54.45 13.07 54.40 13.31 56 57 55.54 12.82 55.48 13.06 55.43 13.31 55.37 13.55 67 58 60. 51 13.05 13.29 56.40 13.54 56.34 13.79 68 59 57.49 13.27 57.43 13.52 57.37 13.77 57.31 14.02 59 60 58. 44. 24 15.13 64.18 15.41 04.11 15.69 66 65.28 15.07 15.36 05.15 15.04 65. 08 15.92 67 68 15.30 00. 19 15.59 t.i;. 12 15.87 66.05 16. 10 68 69 15.52 16.81 67.09 16.11 67.02 16.40 70 08.21 1575 88.14 16.04 68.07 10.34 67.99 16.64 70 71 69.18 15.97 69. 11 16.27 69.04 16.57 68.97 16.88 71 72 711. \r, 16.20 70.08 10.50 70.01 16.81 69.94 17.11 72 73 71. U 10. 42 71.00 16.73 70.98 17.04 70.91 17.35 7.H 74 72.10 16.65 72.03 10.90 71.96 17.27 71.88 17.59 74 75 78.08 16.87 17.19 72.93 17.51 72.85 17.83 75 74.05 17.10 73.98 17. 42 73.90 17.74 73.82 18.06 n 77 75.03 IT. 82 74,98 17.05 74.87 17.98 74.79 18.30 77 78 76.00 17.55 75.92 17.88 75.84 18.21 75.76 18.54 78 17.77 18.11 76.82 18.44 76.74 18.78 79 80 77.95 18.00 77.87 18.34 77.79 18.68 77.71 19.01 80 M 78.92 18.22 78.84 18.57 78.76 18.91 78.68 19.25 81 82 79.90 18. 45 IS. 79 79.73 19.14 79.65 19.49 82 83 80.87 18.67 80.79 19.02 80.71 19.38 80.62 19.73 83 84 81.85 18.90 81.70 19.25 81.08 19. 01 81.59 19.97 84 85 vj. 83 19.12 82.74 19.48 82.65 19.84 82.56 20.20 85 86 88, 0 19.35 83.71 83.62 20.08 M. .VI 20.44 86 87 84.77 19.57 19.94 84.00 20.31 84.51 20.68 87 88 85.74 19.80 85.66 20.17 20.54 85.48 80.92 88 89 20.02 20.40 80. 54 20.78 80.45 21.15 89 90 87.68 20.25 87. GO 20.63 87.51 21.01 87.42 21.39 90 '.)! 88.67 20.47 88.58 20.86 21.24 B&JB 21.63 91 92 20.70 89.66 89.46 21.48 89.36 21.87 92 93 90.52 21.32 90.43 21.71 90.33 22.10 93 94 91.59 21.15 91.60 21.54 91.40 91.31 22.34 94 95 92.57 21.37 92.47 21.77 92.38 92.28 22.58 95 96 93.54 21.60 93.44 93.35 93.25 96 94.51 21.82 94.42 94.32 94.22 23.06 97 98 95. 49 22.05 tt.89 95.29 95.19 28.98 98 99 22.27 90.36 22.09 96.20 23.11 90. 16 23. « 99 100 97.44 22.50 97.34 22.92 97.24 23.34 97.13 23.77 100 § Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 77° 76H° 76*' i 35 TABLE 4.-TRAVERSE TABLE. 0 1' 14°. 14JT. 14H°. 14V- b 5' i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. \ i 0.97 0.24 0.97 0.25 0.97 0.25 0.97 0.25 1 2 1. '.il 0. 4S 1.94 0.49 1.94 0.50 1.93 0.51 2 3 2.91 0.73 2.91 0.74 2.90 0.75 2.90 0. 7(1 3 4 3.88 0.97 3.88 0.98 3.87 1.00 3.87 L02 4 5 4.85 1.21 4.85 1.23 4.84 1.25 4.84 1.27 5 6 5.82 1.45 5.82 1.48 5.81 1.50 5.80 1.63 6 7 (i. 79 1. 09 6.78 1.72 6.78 1.75 6.77 1.78 7 8 7. 76 1.94 7.75 1.97 7.75 2.00 7.74 2.04 8 9 8.73 2.18 8.72 2.22 8.71 2.25 8.70 2.29 9 10 9.70 2.42 9.69 2.46 9.68 2.50 9. 67 2.55 10 11 10.67 2. «• 10. r,r> 2.71 10.65 2.75 10. (54 2.80 11 U 1LM 2.90 11.63 2.95 11.62 3.00 11.60 3.06 12 13 12. <>1 3.14 12.60 3.20 12. 59 3.25 12.67 3.31 13 14 13.58 3.39 13.57 3.45 13.55 3.51 13.54 3.56 14 15 14. 55 3. 63 14.54 3.69 14.52 3.76 14.51 3.82 15 16 15.52 3.87 15.51 3.94 15.49 4.01 15.47 4.07 16 17 L6.50 4.11 16. 48 4.18 16. 46 4.26 16. 41 4.33 17 18 17.47 4.35 17.45 4.43 17.43 4.51 17.41 4.58 18 19 18.44 4.60 18.42 4.68 18.39 4.76 18.37 4.84 19 20 19.41 4.84 19.38 4.92 19.36 5.01 19.34 5.09 20 21 20.38 5.08 20.35 5.17 20.33 5.26 20. 31 5.35 21 22 21.35 5.32 21. 32 5.42 21.30 5.51 21.28 5.60 22 23 22.32 5.56 22.29 5.66 22.27 5.76 22.24 5.86 23 24 23.29 5.81 23. 26 5.91 23. 24 6.01 23. 21 6.11 24 25 24.26 6.05 24.23 6.15 24.20 <;. 26 24.18 6.37 25 26 25.23 6.29 25.20 6.40 25.17 6.51 25.14 6. (>-' 26 27 2 6L96 10. 02 C1.89 16.29 64 65 15. 72 fsi. 00 16.00 62.93 16.27 62.86 16.55 65 66 64.04 15. 97 63.97 16.25 63.90 16.53 63.83 16.80 66 67 1 !>.•_> 1 84 M 16.49 64.87 L6.78 04.79 17.06 67 68 65.98 16.45 65.91 lii. 74 65.83 17.03 65.76 17.31 68 69 c.«,. '.i.-> 16.69 66.88 16.98 66.80 17.28 66.73 17.57 69 70 f,7. '.12 16.93 67.85 17.23 . 67. 77 17.53 67.69 17.82 70 71 68.89 17.18 f>s. s-_> 17.48 68.74 17.78 68.66 18.08 71 72 17.42 09. 78 17.72 69.71 18.03 69. 63 18.33 72 7:5 70.83 17.66 70. 75 17.97 70.67 18.28 70. -,'.» 18.59 73 7J 71.80 17.90 71.72 18.22 71. G4 18.53 71.56 18.84 74 75 71 77 Is. 11 72.61 18.78 19.10 75 7:i. 74 18.39 73.66 18.71 73.58 19.03 73.50 19.35 76 77 71.71 18.63 18.95 74.58 19.28 74.46 19.60 77 78 75.68 18.87 75.60 19.20 75.52 10. W 19.86 78 19.11 76.57 19.45 76.48 19.78 7(i. 10 20.11 79 80 77.62 19.35 77.54 19.69 77. 45 20.03 77.36 20.37 80 81 78.59 19.fiO 78. M 19.94 78.42 20.28 7S.33 20.62 81 20.18 ?i. 3<) 20.53 20.88 82 83 80.53 20.43 80.36 20.78 21. 13 83 81.50 M. 12 81.32 21.03 8L23 21.39 84 85 82.48 20.92 82.29 21. (M 85 83.45 20.81 83.35 21.17 83.26 21.63 21.90 86 21 0.-, 21.42 87 88 85.39 85.29 21.66 W in 88 21.91 88.07 89 90 87.33 87.23 22. i:, 87.13 22.91 90 91 88.30 22.01 vs. 20 22.40 88.10 22.78 n 92 .vi. '.'7 89, 17 22. c,.-, 89.07 92 23.50 90.14 93 9L21 91.11 2:<. 1 i '.«). '.«) 94 '.12. US 21. I'l M 98.94 24.04 21 11 96 "l. u 24.70 Us 24.12 04.88 98 99 '.»:,. s.-, 99 100 97.03 96.92 96.81 25.04 PlTO 25.46 100 1 Dep. Lat. !»,•,, Lat. Dep. Lat. 8 £ 70°. 75H°. 75«°. TABLE 4.— TRAVERSE TABLE. g 15°. 15^°. 15^°. i5?r. 0 w' 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 1 0.97 0.26 0.96 0.26 0.96 0.27 0.96 0.27 1 2 1.93 0.52 1.93 0.63 1.93 0.53 1.92 0.54 2 3 2.90 0.78 2.89 0.79 2. s'.i 0.80 2.89 0.81 3 4 3.86 1.04 3.86 1.05 3.85 1.07 3.85 1.09 4 5 4.83 1.29 4.82 1.32 4.82 1.34 4.81 1 . 36 5 6 5.80 1.55 5.79 1.58 5.78 1.60 5.77 1.63 c, 7 6.76 1.81 6. 75 1.84 6.75 1.S7 (i. 71 1 . 90 7 8 7. 73 2.07 7.72 2.10 7.71 2.14 7.70 2.17 8 9 8.69 2.33 8.68 2.37 8.67 2.41 S (1C, 2.44 9 10 9.66 2.59 9.65 2.63 9.64 2.67 9.62 2.71 10 11 10.63 2.85 10.61 2.89 10.60 2.94 10.59 2.99 11 12 11.59 3.11 11.58 3.16 11.56 3.21 11.56 3.26 12 13 12.5(3 3.36 12.54 3.42 12.53 3.47 18.61 3.53 13 14 13.52 3.62 13. 51 3,68 13. 49 3.74 13.47 3.80 14 15 14.49 3.88 14.47 3.95 14.45 4.01 14.44 4.07. 15 16 15.45 4.14 15.44 4.21 15.42 4.28 15.40 4.34 16 17 16. 42 4.40 16.40 4.47 16.38 4.54 10. 36 4.61 17 18 17.39 4. (if, 17. 37 4.73 17.35 4.81 IT. 32 4.89 18 19 18.35 4.92 18.33 5.00 18.31 5. OS 18.29 5.16 19 20 19.32 5.18 19.30 5.26 19. 27 5.34 19.25 5.43 20 21 20.28 5.44 20.26 5.52 20.24 5.61 20.21 5.70 21 22 21.25 f». (i'J 21.23 5.79 21 . 20 5.88 21.17 5.97 22 23 22.22 5.95 22.19 6.05 22. 1C, 6.15 •-"J.l! 6.24 23 24 23.18 6.21 23.15 6.31 23.13 6.41 23. ;n 6.51 24 25 24. 15 6.47 24.12 f. 15H*. 15fi*. 1 1 Lat. Dep. Lat. I.,;, Lat. Dep. Lat. Dep. I 51 49.26 13.20 49.20 13.41 49.15 13.63 49.09 13.84 51 52 50.23 13.46 50.17 13.68 50.11 13.90 50.05 14.11 52 53 51.19 13.72 51.13 13.94 51.07 14.16 51.01 14.39 53 54 52.16 13.98 52. in 14.20 52.04 14.43 51.97 11.". 54 53.13 14.24 53.06 14.47 53.00 14.70 52.94 14.93 55 56 54.09 ! 1. I'.l 54.03 14.73 53.96 14.97 53.90 15.20 56 57 55.06 ] t. ::. 54.99 14.99 54.93 15.23 r,4. so 15.47 57 58 66.02 15.01 55.96 I"). •_'(•. 5.5.89 15.50 55.82 15.74 58 59 56.99 56.92 15.52 56.85 15.77 56.78 16.01 59 60 57.96 15.53 57.89 15.78 57.82 16.03 57.75 16.29 60 61 68.92 15.79 58.85 16.04 58.78 16.30 58.71 16.56 61 59.89 16.05 59.82 16.31 59.75 16.57 59.67 16.83 62 63 60.85 16.31 60.78 16.57 60.71 16.84 60.63 17.10 63 16.46 61.75 16.83 61. 67 17.10 61.00 17.37 64 65 62.79 16.82 62.71 17.10 17.37 62.56 17.64 65 66 17.08 (Ui. IX 17.36 63. <:0 17.64 63.52 17.92 66 67 17.34 17.62 17.90 64.48 18.19 67 68 65.1 1 17.89 65.53 18.17 65.45 18.46 68 69 66.65 17.86 66 57 18.15 66.49 18.44 66.41 18.73 69 7(1 67. Cl is. \:>. 67.54 18.41 67.45 18.71 67.37 19.00 70 71 68.58 18.38 68.50 18.68 68.42 18.97 68.33 19.27 71 72 69.55 69.46 18.94 69.38 19.24 69.30 19.54 72 73 70. ;,l 70. 43 19.20 70.35 19.51 70.26 19.82 73 74 71.48 19.15 71.39 19.46 71.31 19.78 71.22 20.09 74 75 19.41 72.36 19.73 72.27 20.04 72.18 20.36 75 7:*. 4 1 19. 07 73.32 19.99 73.24 20.31 73.15 20.63 76 77 19.93 74.29 20.25 74.20 20.58 74.11 20.90 77 78 20.19 75.25 20.62 75.16 20.84 75.07 21.17 78 78.31 20.45 76. 22 •_'(). 7s 76. 13 21.11 76.03 21.44 79 80 77.27 20.71 77.18 21.04 77.09 21.38 77.00 21.72 80 81 78.24 20.96 78.15 21.31 78.06 21.65 77.96 21.99 81 79.21 il.22 79.11 21.57 79.02 21.91 78.92 22.26 82 83 80.17 21. is 80.08 21.83 70.98 22.18 79.88 83 84 81.14 21.74 M.ol 22.09 MUM 22.45 80.88 22.80 84 85 22.00 82.01 22.86 81.91 22.72 81.81 23.07 85 83.07 82.97 82.87 22.98 23.34 86 87 84.04 v-i.'.n 22.88 83.84 23. 2.'. 83.73 87 88 88.00 84.90 23.15 84.80 2.<. :.-' M.70 23.89 88 89 IB, 07 23. m 85.87 23.41 85.76 23.78 85.64 21. If. • 00 23.29 86.83 23. C7 86.73 24.05 86.62 24.49 90 87.90 23.55 B7.80 X7. ',<> 24.32 x:. :>.x' 24.70 91 24.20 88.65 24.59 B& -v, 24.97 92 VI. • J 89.51 93 (»•;. MI 24.72 9&to 25.12 90.47 25.52 94 91.66 24.99 •J.V :;•.. 91. 43 25.79 95 96 24.85 25.25 92.51 25.65 92.40 96 97 25.51 93.47 H. 02 93. 30 26.38 97 94.44 94. :« 98 99 95.51 26.04 86, ;n 2... M 99 100 96.59 •_•.-. xs 96.48 26.30 06. M 100 Dtp, Lat. Lat. Dep. Lat. | 3 p 74^°. 74>T. § 39 TABLE 4.— TRAVERSE TABLE. a 1 1G°. W- 16H°- 16-^ °. I I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.% 0.28 0.96 0.28 0.96 0.28 0.96 0.29 1 2 1.92 0.55 1.92 0.56 1.92 0.57 1.92 0.58 2 3 2.88 0.83 2.88 0.84 i •2. SS 0.85 2.87 0.86 3 4 3.85 1.10 3.84 1.12 3.84 1.14 3.83 1.15 4 5 4.81 1.38 4.80 1.40 4.79 1.42 4.79 1.44 5 G .-,. 77 L. 65 5.76 1.68 5.75 1.70 5.75 1.73 6 7 1). 73 1.93 6.72 1.96 6.71 1.99 6.70 2.02 7 g 7. Oil 2.21 7.68 2.24 7.67 2.27 7. (Hi 2.31 8 9 8.05 2.48 8.64 2. 52 8.63 2.56 8.62 2.59 9 10 9.61 2.76 9.60 2.80 9.59 2.84 9.58 2.88 10 11 10.57 3.03 10.56 3.08 10.55 3.12 10. 53 3.17 11 12 11.64 3.31 11.52 3.36 11.51 3.41 11.49 3.46 12 13 12.50 3.58 12.48 3.64 12. 46 3.69 12.45 3.75 13 14 13.46 3.86 13.44 3.92 13.42 3.98 13.41 4.03 14 15 14. 42 4.13 14.40 4.20 14.38 4.26 14.36 4.32 15 16 15. 38 4.41 15.36 4.48 15.34 4.54 15.32 4.61 16 17 ltt.34 4.69 16. 32 4. 70 10. 30 4.83 16.28 4.90 17 18 4.96 17.28 5.04 17.26 5.11 17.24 5.19 18 19 18.20 5.24 18.24 5.32 18.22 5.40 18.19 5.48 19 20 19.23 5.51 19.20 5.60 19.18 5.68 19.15 5.76 20 21 20.19 5.79 20.16 5.88 20.14 5.96 20.11 (i. 0.1 21 22 21. 15 6.06 21. 12 (i. 1C, 21.09 6.25 21.07 6.34 22 23 22.11 6.34 22.08 6.44 22.05 6.53 22.02 6.63 23 24 23.07 6.62 23.04 6. 72 23.01 6.82 22. 9S 6.92 24 25 24.03 6.89 24.00 7.00 23.97 7.10 23.94 7.20 25 X 24.99 7.17 24.% 7.28 24. 93 7.38 24.90 7.49 » •_>7 25. 95 7.44 25.92 7.50 25. x;» 7.67 25.85 7.78 27 28 20. fc_> 7.72 26.88 7.84 7.95 26.81 S. 07 28 29 27. 88 7.99 27.84 8.12 27.81 8.24 27.77 29 30 28.84 8.27 28.80 8.39 28.76 8.52 28.73 8.65 30 31 29.80 8.54 29.76 8.67 29.72 8.80 29.68 8.93 31 32 30.76 8.82 30; 72 8.95 30. as 9.09 30.64 9.22 :;_' 33 31.72 9.10 3L68 '.I. LM 31.64 9.37 31.60 9.51 33 34 32.68 9.37 32.64 9.51 32.60 9.66 32. 56 9.80 34 35 33.64 9.65 33. 60. §,79 33.56 9.94 33.51 10.09 3.1 ato 34.61 9.92 34.56 10. 07 34. 52 10. 22 34. 47 10.38 36 37 35.57 10. 2() 3.1. :,_' 10.35 35.48 10. 51 ::.-, !.; 10.66 37 38 10.47 L0.63 36.44 10.79 36.39 10.95 38 39 37.49 1(1.7.-. 37. i I 10.91 37.39 11.08 37. 3.1 1 1 . 24 39 40 38.45 11.03 38.40 11.1'.* 3S. 3.1 11.36 38,30 11.53 40 41 39.41 11.30 39. 36 11.47 39.31 11.64 3<>. 20 1 1 . XL! 41 D 40.37 11.58 40. 32 11.75 40.27 11.93 •10. '>> 12.10 42 43 41.33 11.85 •1 1 . .'x 12.03 12.21 41. IS 12.39 43 44 u. i.; 42.24 12.31 I:.'. 1'.' 12.50 .(•_'. 13 12.68 44 45 43. l'»; 12.40 43. 20 12.59 43.15 12.78 43.00 12.97 45 4. 1 1 51.78 15.34 51.71 15.50 54 55 15.16 52.80 15.39 52. 74 15. <>2 52. 07 15.85 55 53. S3 15.44 15.67 53. <>9 15.90 53. f.2 16.14 69 57 15.71 54,72 15.95 54. (5 16.19 64.66 16.43 57 58 55.75 15.99 16.23 55.61 Hi. 47 55.54 16.72 58 59 .r.r.. 71 Iti. I'li 56. (4 Hi. 51 56.57 16.76 56.50 17.00 59 CO 57.68 16.54 57.60 16.79 57.53 17.04 57.45 17.29 60 61 58. C4 i.;. M 58. 56 17.07 58.49 17.32 58.41 17.58 61 59. W 17.09 59.52 17.35 59.45 17. 61 59.37 17.87 62 17.87 «0. 48 17. (3 60.41 17.89 CO. 33 18. 16 63 M BL52 17.64 61. 44 17.91 61.36 18.18 61.28 18.44 64 65 62, is 17.92 62. ;••) 18.19 62.32 18. 46 62.24 18.73 65 66 63.44 iai9 63.36 18.47 63.28 18.75 63.20 19.02 66 67 • \. r> 18.47 18. 75 64.24 19.03 64.16 19.31 67 68 18.74 65.28 19.03 65.20 19.31 65.11 19. 60 68 tHi. 33 19.02 66.24 19.31 66.16 19,60 69.07 19.89 69 70 19.29 67.20 19.59 67.12 19.88 67.03 20.17 70 71 68.25 19.57 68.16 19.87 68.08 20.17 67. 99 99MN 71 n 19.85 (.'.». 12 20.15 (19.04 20.45 68.06 20.75 72 73 70.17 •_" '. 1 -' 70.08 20.43 69.99 20.73 69.90 21.04 73 74 71. i.; 71.04 20.71 70.95 21.02 70.80 21.33 74 75 72.09 72.00 20.99 71.91 21.30 71.82 21.61 75 M ML 96 21.27 72.87 21.59 72.78 21.90 76 77 2L22 7:{. !»2 21.55 73.83 21.87 73.73 22.19 77 78 74.98 21.50 74.88 21.83 74.79 22.15 7469 22.48 78 79 75.94 21.78 75.84 22.11 75.75 22.44 75. (i5 22. 77 79 80 76.90 7(180 22.39 76.71 22.72 76.61 23.06 80 81 77 - . 22.33 77. 7'i 22.67 77.66 23.01 77. 50 23.34 81 7s 83 7V7_> 22.95 78. 62 •j:;. •.".» 78.52 23.63 92 23.23 79.58 23. 57 79.48 23.92 83 M 80.75 23. 15 80,64 23.61 80.64 23.86 80.44 24.21 84 85 81.71 BL60 81.50 2J. M 81.39 24.50 85 M 23.70 82.46 •Jl. i:i 24.78 86 24.85 si. U 24.71 83.31 25.07 87 88 24.26 84.38 24.99 B4.t7 88 85.65 si. ! } 24.90 85.13 .'.->. Js 85.22 25.65 91 90 B4.61 86.40 25.18 86.29 25.56 80.18 25.94 90 91 87.47 25.08 25.46 87.25 25.85 87.14 20.23 91 92 25. 7 1 88.21 •jr.. l:; 96.61 92 93 S'l. ID 26.41 99.96 93 94 25.91 '.M.I:; 2ii. 70 90.01 27.99 94 91.20 9L9B 26.98 90.97 95 '.»•_'. Hi 91.93 97 93.12 93.91 27.55 27.9(> i 94.20 27.01 94.08 28.24 96 99 '.I.'-. If. •.'7. -.-.» 95.04 94.92 94.90 •js. :,.{ 00 100 96.13 96.00 27.98 «).-,. vx 28.40 95. 76 100 J Dep. Lat. 1),-,,. Lat. Dep. Lat. Dep. Lat. I 3 74°. 73H'. 73M*. i i n TABLE 4.— TRAVERSE TABLE. a 17°. 17',°. 17^e. 17V. a I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. • i 0.96 0.29 0.96 0.30 0.95 0.30 0.95 0.30 i 2 1.91 0.58 1.91 0.59 1.91 0.60 1.90 0.61 2 3 2.87 0.88 2.87 0.89 2.8(1 0.90 2.86 0.91 3 4 3.83 1.17 3.82 1.19 3.81 1.20 3.81 1.22 4 5 4.78 1.46 4.78 1.43 4.77 1.50 4.76 1.52 5 6 5.74 1.75 5.73 1.78 5.72 1.80 5.71 1.83 6 7 6. 69 2.05 (i. 6<> 2.08 6.68 2.10 (1.117 2.13 7 8 7.(i5 2.34 7.64 2.37 7.63 2.41 7. 62 2.44 8 9 8.61 2,63 8.60 2.67 8.58 2.71 8.57 2.74 9 10 9.56 2.92 9.55 2.97 9.54 3.01 9.52 3.05 10 11 10.52 3.22 10.51 3.26 10.49 3.31 10.48 3. 35 11 12 11.48 3.51 11.46 3.56 11.44 3.451 11.43 3.66 12 13 12. 43 3.80 12.42 3. 86 12.40 3.91 12.38 3. 9(1 13 14 13.39 4.09 13.37 4.15 13.35 4.21 13.33 4.27 14 15 14.34 4.39 14.33 4.45 14.31 4.51 14.29 4.57 15 16 15. 30 4.68 15.28 4.74 15.26 4.81 15.24 4.88 16 17 16. 2(1 4.97 16.24 5.04 16. 21 5.11 16. 19 ft. 18 17 18 17.21 5.26 17.19 5.34 17.17 5.41 17.14 :.. -I'.i 18 19 18.17 5.56 18.15 5. 63 IS. 12 5.71 is. Id .-.. 79 19 20 19.13 5.85 19.10 5.93 19. 07 6.01 19.05 6. 10 20 21 20.08 6.14 20.06 6.23 20.03 6. 31 20.00 6.40 21 22 21.04 6.43 21.01 6.52 20. 98 (i. 62 20.95 6.71 22 23 22.00 (i. 11 21.97 (i. S2 21.94 6.92 21.91 7.01 23 24 22.95 7.02 22. 92 7.12 22.89 7.22 22. SH 7. 32 21 25 23.91 7.31 23. SS 7.41 23.84 7.52 23. 81 7. 62 25 K 24.88 7.60 24.83 7.71 24. 80 7.82 24. 76 7.'.):; 26 27 25.82 7.89 25.79 8.01 25.75 8.12 25.71 8.23 27 28 26.78 8.19 2( i. 74 8.30 26. 70 8.42 2.1. 67 s. 5 1 38 29 27. 73 S. -!S 27.70 8.60 27. 66 8.72 27. 62 s. si 29 K 28. 69 8.77 28.65 8.90 28.61 9.02 28.57 9.15 30 n 29.65 9.06 29.61 9.19 29.57 9.32 20. .12 9.45 31 32 30. (10 9. 3(1 30.56 9.49 30. 52 9. 62 30.48 9. 76 33 :;.; 31.56 9.65 31.52 9.79 31. 47 9.92 81.43 10.06 S3 34 32.51 9.94 32.47 10.08 32.43 10.22 ;',2. :. !7 55.39 17.20 55.32 17.44 55.24 58 56.35 17.50 56.27 17.74 5(5. 19 17.99 59 BO 57.38 17.54 17.79 57.22 18.04 57.14 18.29 60 H 58.33 17.83 58.26 18.09 58.18 18.34 58.10 18.60 61 18.13 18.39 59.13 18.64 r,> 82.16 19.00 02.08 19.28 19.55 61.91 19.82 65 B6 ««. 12 19.85 62.86 20.12 66 19.59 63.99 63.90 20.15 67 64.94 20. Ifi 64.85 20.45 64.76 20.7:: 08 65.99 20.17 65.90 •jo. 41; 20.75 •Jl.O! 69 70 66.94 20.47 66.85 20.76 21.05 80.67 21.34 70 71 67.90 20.7fi 67. 81 21.05 '•7.71 21.35 •7. C-2 21.65 71 21.05 68.76 68.67 21.65 68.57 21.95 72 7:t 69.72 21. 05 69.52 22.26 73 7D. 77 70.67 70.58 L"J. IT. 70. IS 74 71.63 22.24 7L63 22.55 71.43 7.') 72. IS 22.85 72.38 7>'. 77 22.51 73.54 23.15 -:*. :« 23.47 77 78 23.10 75. 34 23.76 75.24 79 80 76.50 23.39 76.40 23.72 76.30 24.06 76.19 24.39 80 81 77. I-. 23.68 24. 02 77.25 77. H 81 23.97 78.20 78.10 25.00 82 79.16 25.30 83 24.91 SO 1 1 25.26 80.00 85 81.29 81.07 IT,. 1 1 25.86 83.09 26.82 87 88 M. i:> 88 BO v.-,. . 1 > 27.13 89 27.06 85.72 27.44 90 01 86.91 86.79 27.36 86.67 27.74 91 92 87.74 92 88.94 27.97 28.35 27.87 28.27 28. «i 94 28.57 28.96 91.81 90 29.17 99 38 29.57 97 '..x 29.47 98 09 29.77 94.29 99 too 30.07 95.24 30.49 100 e Dep. Lat. IV,, Lat. g a ^ s 73'. i*C. 7W. n>c. 1 43 TABLE 4. -TRAVERSE TABLE. o GT 18°. 18^°. 18Ji°. isv. a I 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 0.95 0.31 0.95 0.31 0.95 0.32 0.95 0.32 1 2 1.90 0.62 1.90 0.63 1.90 0.63 1.89 0.04 2 3 2.85 0.93 2.85 0.94 2.84 0.95 2.84 0.96 3 4 3.80 1.24 3.80 1.25 3.79 1.27 3.79 1.29 4 5 4.76 1.55 4.75 1.57 4.74 1.59 4.73 1.61 5 6 5.71 1.85 5.70 1.88 5.69 1.90 5.08 1.93 6 7 6.60 2.16 6.05 2.19 6.64 2.22 6.63 2. 25 7 8 7.61 2.47 7.60 2.51 7.59 2.54 7.58 2.57 8 9 8.56 2.78 8.55 2.82 8.53 2.86 8.52 2.89 9 10 9.51 3.09 9.50 3.13 9.48 3.17 9.47 J.21 10 11 10.46 3.40 10.45 3.44 10. 43 3.49 10.42 3.54 11 12 11.41 3.71 11.40 3.76 11.38 3.81 11.36 3.80 12 13 12.36 4.02 12. 35 4.07 12.33 4.12 12.31 4.18 13 14 13.31 4.33 13.30 4.38 13.28 4.44 13. 26 4.50 14 15 14.27 4.64 1126 4.70 14.22 4.76 14.20 4.82 15 16 15. 22 4.94 15.20 5.01 15.17 5.08 15.15 5.14 1C, 17 16.17 5.25 1(1. 11 5.32 16. 12 5.39 16.10 5. 40 17 18 17.12 5.56 17.09 5.64 17.07 5.71 17.04 5.79 18 19 18.07 5.87 18.04 5.95 18.02 6.03 17.99 6.11 19 20 19.02 6.18 18.99 6.26 18.97 6.35 18.94 6.43 20 21 19.97 6.49 19.94 6.58 19.91 6.66 19.89 6.75 21 22 20.92 6.80 20.89 6. MI 20.86 6.98 20.83 7.07 29 23 21.87 7.11 21.84 7.20 21.81 7.30 21.78 7.39 a 24 22.83 7.42 22.79 7.52 22. 7(1 7. 02 22.73 7.71 24 25 23.78 7.73 23.74 7.83 23.71 7.93 23.67 8.04 25 26 24. 73 8.03 24. 09 8.14 24. 06 8.25 24. 02 8.36 26 27 25. (58 8.34 25. 04 8.40 25.00 8.57 25. 57 8.68 27 28 26.63 8.65 2C.se 8.77 20. 55 8.88 26.51 9.00 28 29 27.58 8.96 27.54 9.08 27.50 9.20 27.40 9.32 29 30 2S. 53 9.27 28.49 9.39 28.45 9.52 28.41 9.04 30 31 29.48 9.58 29.44 9.71 29.40 9.84 29. 35 9. 00 31 32 30.43 9.89 30.39 10.02 30.35 10.15 30.30 10.29 p 33 31.38 10. 20 31.34 10.33 31.29 10.47 31. 25 10.01 33 34 32.34 10.51 32.29 10. 05 32.24 10.79 32. 20 10.93 14 35 33. '-'it 10. 82 33.24 10.96 33. 19 11.11 33. 14 ! 1 . 2.1 36 84.24 11.12 34.19 11.27 34.14 11.42 34.09 11.57 86 37 35.19 11. i:; 35. 14 11.59 35. 0!) 11.74 35. 04 11.89 37 38 :{<;. i » 11.71 36.09 11.90 30.04 12.00 :;:,. us 12.21 38 39 37.09 12.05 37.04 12.21 36.98 12.37 31 i. !H 12.64 39 40 38.04 12.30 37.99 12.53 37.93 L3.69 37.88 12. 80 40 41 38.99 12.67 :'.s. <» i 12.84 38.88 13.01 38.82 11.18 41 42 39.94 12.98 39.89 13. 15 ;{'.). M 13.33 : 14.60 43.66 1 1. 7\> 1C, 47 44. 70 14.52 ll.l.l 14.72 1 1. 57 14.91 44.51 15. 11 17 48 1. '..I..-, 14.83 15.03 45.52 15.23 4.1. 15 15. 43 48 15.14 46.54 15.35 40. -17 1 :,. 55 •1C,. 40 15. 75 1:1 50 47.55 15.45 47.48 15.66 47.42 15.87 17.:',:, 1C,. (17 09 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. | 3 72". 71',". 7Hi°. I 44 T\»I,K -I.-TKAVKKSK TABLE. r t b Lat. Dep. I.ut. Dep. Lat. Dep. Lat. Dep. 1 B 4S. .VI 4s. 43 15.97 48.36 16.18 48.29 16.39 51 16,07 40.38 16.28 49.31 16.60 49.24 16.71 52 /ill! 41 50.33 16.60 50.26 50.19 17.04 53 54 51.28 16.01 61.21 17.13 51.13 17.36 54 55 62,31 17. mi L7.22 17.45 52.08 17.68 55 53. 1 s 17.:.} 53.11 17.77 18.00 56 17.6J 17.85 54.05 18.09 •~>3 'is 18.32 57 58 '.',:,. In L7.02 65.08 18.16 55.00 18.40 54! ;I-' 18.64 58 59 ;Vi. 1 1 18.23 18.48 55.95 18.72 55.87 18.96 59 '00 57.06 18.54 56.98 18.79 56.90 19.04 56.82 19.29 00 • 58.01 18.85 57.93 19.10 57.85 19. 36 57.76 19.61 61 58.97 19. 16 .r>s. ss 1H. 4_' 58.80 19.67 58.71 19.93 62 59.92 lit. 47 59.83 19. 73 59.74 19.99 59.66 20.25 63 <»4 60.87 19.78 89.78 20.04 60.69 20.31 60.60 20.57 64 20.36 6L64 20.62 61.55 20.89 i.J. 77 62. 68 20.67 20.94 62.50 21.22 66 i.7 63. •« 20.98 63.54 63.44 21.54 67 21.01 21.80 21.58 64.39 21.86 68 69 21.61 65.43 21.89 65.34 22.18 69 66.57 21.63 66.48 21.92 66.38 22.21 66.29 22.50 70 71 67.53 21.94 C.7. 43 22.23 67.33 22.53 67.23 22.82 71 7J KS. .IS (8.28 22.85 68.18 23.14 72 73 22. 86 69.23 23.16 2}. 47 73 74 70.38 22.87 70.28 70.18 23.48 70.07 23.79 74 75 23.18 71.1':: 71.12 23.80 71.02 24.11 75 23. 4'' 72. is 23.80 72.07 24.12 71.97 24. 43 76 77 23.79 24. 1 1 24. 43 72.91 24.75 77 78 24. 10 74.08 24. 43 73.97 24.75 73.86 25.07 78 79 24.41 75.03 24. 74 74. !!_' 25.07 74.81 25.39 79 80 75.98 25.05 75.87 25.38 75.75 25.72 80 81 77.04 25.03 76. 81 25.70 76. 70 26.04 81 25.68 77. 7f. 26.02 26.36 82 83 78.94 25.65 78.83 25.99 78.71 26.34 78.60 2«;. us 83 25.% 26.65 79.54 27.00 84 85 80. f] BO. 46 85 81.67 81.56 SI. 4 I 86 87 87 88 27. ri 83.57 ->s *) 88 89 27. 50 84.28 •Jv O VI 90 85.60 85.47 28.18 85.35 85.22 28.93 90 91 86.55 28.50 28.87 86. 17 29.25 01 87.10 28.81 93 .ss. r, 29.12 88.19 88*08 20.89 93 20.44 89.01 30.22 90.35 90.00 80. M 91.80 !'l. 17 91.04 90.91 96 97 91.99 91.85 3!.ls 97 «.».?. '.» 1 31. in 02.80 98 I 31.00 93, s> '•'•;• ::> m 100 94.83 100 1 Dep. Lat. Lat. Dep. Lat. 1 7W. 71V- 45 TABLE 4.— TUAVKKSE TABLE. o 19°. i9H°. 19H°- b £ 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 >•,.[,. 1 0.95 0.33 0.94 0.33 0.94 0.33 0.94 0.34 1 2 1.89 0.65 1.89 0. C)') 1.89 0.67 l.ss 0.68 2 3 •2. M 0.98 2.83 0.99 2.83 1.00 2.82 1.01 3 4 3.78 1.30 3.7S 1.32 3. 77 1.34 3.76 1.35 4 5 4.73 1.63 4.72 L«5 4.71 1.67 4.71 1.69 5 0 .->.(,: 1. 95 6.66 1.98 5.66 2.00 5.65 2.03 6 7 <;. 1,2 2.28 6.61 2.31 6. 60 2.34 6.59 2.37 7 8 7.56 2.60 7.55 2.64 7.54 2.67 7.53 2.70 8 9 8.51 2.93 8.50 2.97 8.48 3.00 8.47 3.04 9 10 9.46 3.26 9.44 3.30 9.43 3.34 9.41 3.38 10 11 10.40 3.58 10.38 3.63 10.37 3.67 10.35 3.72 11 12 11.35 3.91 11.33 3.% 11.31 1.01 11.29 4.06 12 13 12.29 4.23 12.27 4.29 12.25 4.34 12.24 4.39 13 14 13. 24 13.22 4.62 13.20 4. «7 13.18 4.73 14 15 14.18 4.88 14.16 4.95 14.14 5.01 14.12 5.07 15 16 15.13 5.21 15.11 5.28 15. as /i. 34 15.06 5.41 16 17 lb.07 5.53 16. 05 5.60 16.02 5.67 16.00 8.74 17 18 17.02 :,. si; 16.99 5.93 16.97 6.01 1C.. 94 ft. 08 18 19 17.96 6.19 17.94 6.26 17.91 6.34 17.88 6.42 19 20 18.91 6.51 18.88 6.59 18. 85 6.68 18.82 6.76 20 21 19.86 6.84 19.83 6.92 19.80 7.01 19.76 7.10 21 22 20.80 7.16 20.77 7.25 •Jo. 7 i 7.84 20. 71 7.43 22 23 21.75 7.49 21.71 7.58 21.68 7. 6S 21.65 7.77 23 24 '22. «)'.) 7.81 22.66 7.91 22.62 8.01 22. 59 8.11 24 25 23. C> 1 8.14 23. (10 8.24 23.57 8.35 23.53 8.45 25 26 24.58 X. -16 24. 55 8.57 24.51 8.68 24.47 s. 7'.i 26 27 2:,. ;.:; 8.79 25. 49 8.90 25.45 9.01 25.41 9.12 27 IB 20. 47 9.12 26. 43 9.23 26. W 9.35 9. 46 28 29 27.42 9.44 27.38 9.56 27.34 9.68 27.29 9. so 29 30 28.37 9.77 2S. 32 9.89 28.28 10.01 28.24 10.14 30 31 29.31 10.09 29.27 10.22 29.22 10.35 29.18 10.48 31 32 30. 26 10.42 30. 21 lo 55 80,16 30.12 10. Si 32 33 31.20 10.74 31.15 lass 31.11 11.02 31.06 11.15 33 34 32.15 11.07 32 10 11.21 32. 05 32. 00 1 1 . !'.» 34 35 33.09 11.89 83.04 11.54 32.99 11.68 11.83 3.-> 36 34.04 11.72 33.99 11.87 •M. '.' ! 12.02 12.17 86 37 12.05 34.93 12.20 34.88 12.85 31. S2 12.60 37 38 35.93 l£ 87 i -2. :.3 35.82 1 2. s 1 39 12.70 36. 76 1 3. 02 86.71 13.18 n 40 37. 82 13. 02 37.76 13.1'J 37.71 13.35 37. (•>:, 13.52 10 41 38.77 13.35 88.71 13.52 38.65 38.59 13.85 11 42 .Ti.71 1 3. V. 39.59 1 I.e.' 39.53 1 !.!•:• 12 43 14.00 40. 60 11. is 40.53 1 i. 85 40.47 1 1. a.! 43 44 41.60 •1 L. 54 1 1. :,! 41.48 41.41 45 42.55 42. 42 -12. 3.-, 15.21 tf 46 43.49 14.98 43. 13 1 :,. 1 7 •1:1. :«; 15.86 47 44. 44 15.30 15.88 47 48 15.68 16.02 16.22 48 49 15.95 16. IT, 16. 1 i 16.30 46.12 50 47.28 16.28 47.20 16.48 47.13 47.06 50 1 Dep. Lat. Pep. Lat. Dep. Lat. Dep. Lat. 3 71°. 70%°. W. 70M°. ] q 46 TAm.K •l.-TIMVKHSt: TABU;. 1 19°. 19*°. 19^°. 193*°. i 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 48.22 1G.60 48.15 16.81 48.07 17.02 48.00 17.23 51 62 49.17 10.93 49.09 17.14 49. 02 17.36 48.94 17.57 52 53 50.11 17.26 50.04 17.47 49.96 49.88 17. 91 53 54 51.06 17.58 "Ml. '.IS 17.80 50.90 18.03 50.82 18. 25 54 55 52.00 17.91 51.92 IS. 13 ! 51.85 51. 7G is. :,«» 55 56 52.95 18.23 52.79 18.69 52.71 18.92 56 67 ls..V, 63.81 18.79 53.73 10.03 53. 65 19.26 57 58 18.88 54. 7G 19.12 54. G7 19. 36 64.69 19.60 58 59 55.79 19.21 55.70 19.46 55.02 19. 69 5-5.53 19.94 59 GO 56.73 19.53 56.65 19.78 56.56 20.03 56.47 20.28 60 ill .-,7. (is 19.86 57.59 20.11 57.50 •jn. :r, 57.41 20.61 61 .V. •;•_• 20.19 58.53 20.44 .V. -| i 20.70 58.35 20.95 62 63 59.57 20.51 59. 48 20.77 59.39 21.03 59.29 21.29 63 14 60.51 20.84 60.42 21.10 60.33 21.36 60.24 21.63 65 61.40 21.16 61.37 21. 43 6127 21.70 61.18 21.96 66 GG f-j. in 21.49 62. 31 21.76 62.21 22.03 (-'_'. 12 22.30 67 _'1.M 63.25 22.09 63.16 22.37 63.00 22.64 67 68 •_".'. 1 1 64.20 22.42 64.10 22.70 64.00 22. 98 68 69 65.24 <;.-,. it 22.75 65.04 64. 04 23. 3-J 69 70 GG. 19 22.79 66.09 23.08 65.98 23.37 65.88 23.65 70 71 67. 13 23.12 67.03 23.41 66.93 23.70 66.82 23.99 71 72 86,08 •_M. 1 1 67.97 23.74 67.87 24.03 67.76 72 73 69.02 23.77 68.92 24.07 68.81 24.37 68.71 24.67 73 7t 69. 97 24.09 69.86 21. 40 69.76 24.70 69,66 25.01 74 75 70. '.'1 •Jl. !•_' 70.81 24.73 70.70 25. 04 70. 59 25.34 75 76 71.86 1M.71 71.75 25.06 71.. i 25.37 71.63 25.68 76 72.80 25.07 72. C,') 25. 39 72.58 25.70 72.47 26.02 77 78 73.75 78.64 25.72 73.53 26.04 73.41 78 79 74.70 25.72 74.58 26.06 74.47 26.37 7?.:;:. 26.70 79 80 75.64 26.05 75.53 26.38 75.41 26,70 75.29 27.03 so 81 76.59 26.37 26. 70 76. 35 27.04 7f«. -2 ! 27.37 81 82 77.53 26.70 77.42 27.03 77.30 27.37 77.18 27.71 82 83 7V -4S 27.02 78.36 27.36 78. 24 27.71 7>. rj 28.05 83 84 78. •»•_' 27.35 79.30 27. 69 79.18 28.04 7'i. ix; 28.39 85 vi.: 17 •27. f,7 28.02 so. !•_• 28.37 SI.. INI 86 8L31 28.00 81.19 81.07 28.71 87 •_>s. 3-j S'J. 1 I 28.68 82.01 29.04 81.88 2ft l!« 87 88 28.65 83.06 29.01 83. 96 82.82 88 V.l 84.16 •_>s. «>* 29.34 83.90 29.71 30.07 89 85.10 29.30 84.97 29.67 84.84 30.04 84.71 30.41 90 91 M-..OJ 29.63 85.91 ft 00 Bft, 7s 85.65 30.75 M 92 86.90 29.95 Ml. Mi 86.72 31.09 93 80L28 87.80 30.66 87.67 31.04 87. :•:! 93 94 Sv S.S 80.00 88.74 80.99 88.61 31.38 88.47 95 V.I. 01 31.71 .VI. 1! :VJ. in 95 96 '.«i. 77 31.25 90.63 90.49 90.35 96 97 '.H.7J 91.29 32.78 97 • 31.91 32.31 92.38 92.24 98 99 ••:•.. 1'. 99 100 94.41 32.97 94.96 33.38 100 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i s 71°. 70H°. 70K°. 70*'. 5 47 TABLE 4. -TRAVERSE TABLE. o 20°. 20^°. 20^*. •Jo11,0. b E I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.94 0.34 0.94 0.35 0.94 0.35 o.'.M 0.35 l 2 1.88 0.08 1.88 0. (i9 1.87 0.70 1.87 0.71 2 3 2.82 1.03 2.81 1.04 2.81 1.05 2.81 toe 3 4 3.76 1.37 3.75 1.38 3. 7.r> 1.40 3.74 1. 12 4 5 4.70 1.71 4.69 1.73 4.68 1.75 4.C8 1.77 5 6 5.04 2.05 5.C3 2.08 5.62 '2. ID 5. (11 2. 13 6 7 6.58 2.39 6.57 2.42 6.56 a. 45 6.55 2.48 7 8 7.52 2.74 7.51 2.77 7.49 2.80 7.48 2.83 S 9 8.46 3.08 8.44 3.12 8.43 3.15 S. ]'_' 3.19 <» 10 9.40 3.42 9.38 3.46 9.37 3.50 9.35 3.54 10 11 10. 34 3.76 10.32 3.81 10.30 3.85 10.29 3.90 11 12 11.28 4.10 11. I'll 4.15 11.24 4.20 11. 22 4.25 12 13 12.22 4.45 12.20 4.60 12.18 4.55 12. 1C, 1.1:1 i:; 14 13.16 4.79 13. 13 4. NT) 13.11 4.90 13.09 4.96 14 15 14.10 5.13 14.07 5.19 14.05 5.25 14.03 5.31 15 1(1 15.04 5.47 15. 01 5.54 14. 99 5.60 11. '.Hi 5. C.7 Ki 17 15.97 5.81 15.95 5.88 1.1. «.rj 5.95 15.90 (i. 02 17 18 16. 91 (i. Ifi 16. 89 8.23 16.86 6.30 L6.83 6.38 Is 19 17.85 6.50 17.83 6.58 17.80 8.65 17.77 (i. 73 19 20 18.79 6.84 18.76 c.. jrj 18.73 7.00 18.70 7.09 20 21 19.73 7.18 19.70 7.27 lit. (17 7 35 19. 64 7.44 21 22 20.67 7.52 20. (14 7.61 20.111 7.70 20.57 7.79 22 23 21.61 7.87 21.58 7.'.)'! 21.54 8.05 21.51 8.15 23 24 22.55 8.21 22. 52 8.31 22.48 8.40 22. 44 8.50 21 25 23.49 8.55 23. -Jo 8.65 23. 42 S. 76 23.38 96 20 '24. 43 8. 89 24.39 9.00 24. .35 9.11 24.31 9.21 2ti 27 25. 37 9.23 25.33 9.35 2.->. 2'.> 26. 23 9.81 2C.. is 9.92 » 29 27.25 9.92 27.21 10.04 27. l • ID. 1C. 27. 12 to 30 28.19 10.26 28.15 10.38 28.10 10.51 28.05 10. (13 30 31 29.13 10. 00 29.08 10. 73 29.04 10.86 28. !•-.» 10.96 31 32 30.07 10. 94 30. 02 11.08 29.97 11.21 11.31 32 33 31.01 11.29 30.96 11.42 30.91 LI. 56 80.86 11.69 34 31.95 11.63 SLOG 11.77 31.85 11. !M 81. 79 12.05 35 32. h'.l 11.97 32. 84 !•_'. !l 32. 78 12.26 32. 73 12. 10 3G 33.83 12.31 33.77 12.46 33. 72 12.61 33.CC, 12.75 36 37 34.77 13.66 34.71 12.81 34,66 12.96 34.60 l.1,. 11 37 38 35.71 13.00 35. C5 1:1. If) l::.::i 13,46 39 36.65 13.84 36.59 13.50 13.66 13.82 10 37.59 37.53 13.84 37.47 14.01 37.41 14.17 40 41 38. 53 14.02 38.47 14.19 38.40 14.36 88.34 II.. -3 41 42 39. 40 14,54 11.71 14.88 42 13 N. II 11.71 40.34 14.88 -10. 2S 15.06 •10.21 i:.. 23 13 44 IL35 15.05 41.28 15.23 41.21 15.41 41.15 15.59 •11 45 42.29 15.39 42.22 15.58 42. 1.') i:». 76 15.94 45 43. 1C, 15.92 Hi. 11 43.02 16,30 •Hi 47 41. 17 If,. 1)7 44.09 L6.J7 43, '.i:. 16.65 47 48 •1.-,. ] i 16.42 45.03 Hi. til 16.81 44.89 I7.IH 48 49 -If, Ili 16.76 45.97 16.06 45.90 17. 1C, 17.88 •I'.l 50 17.10 4(1.91 17.31 17.51 46; 76 17.71 50 1 Lat. I>c;i. I/it. DC;-. Di-p. Lat. 1 i 70°. Wi°. f.9H8- 69^°. £ fi TABLE 4. -TRAVERSE TABLE. g 20-. 20^'. 20H*. 20%'. r g p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ? 51 17.44 47.85 17.65 17.77 17.86 47.09 18.07 51 17.79 48.79 18.00 48.71 18.21 18.42 52 53 40.80 18.13 18.34 49.04 18.56 49.50 18.78 53 54 60.74 18.47 18.69 50.58 18.91 50.50 19. 13 54 55 18.81 51.60 19.04 51.52 19.26 51.43 19.49 55 56 19.15 52.54 19.38 52.45 19.01 52.37 56 53.56 19.50 53.48 ».73 53.39 19.96 53.30 20.19 57 58 54.50 19.84 54.42 20.07 54.33 20.31 54.24 20.55 58 59 :,.-,. .» \ •JIMS 55.35 55.26 20.06 .55. 17 20.90 59 00 56.38 20.52 56.29 20.77 56.20 21.01 56.11 21.20 60 Gl 57.32 20.86 57.23 21.11 57.14 21.36 57.04 21.61 61 58.20 21.21 58.17 21.40 58.07 21.71 ST. 98 21.97 62 8) 19.20 21.55 59.11 21.81. 59.01 22.06 1 58.91 28.32 63 00. 14 21.89 60.04 22.15 2-J. 11 'i 59.85 22.07 64 65 61.08 •_".'. -•:< 00.98 22.50 60.78 23.03 65 66 62.02 22.57 61.92 2-J. M 81.82 23.11 01.7'-' 23.38 66 67 62.96 22.92 23.19 (V_>. 7(1 23.46 23.74 67 68 63.90 23.26 63.80 23.54 • 13. 0!) 24.09 68 69 64.74 •_>:;. 88 04.83 24.16H 64.52 24. 45 69 70 65.78 23.94 65.67 24.23 65.57 24.51 05.40 24.80 70 71 66.72 24.28 66. 01 24.57 •9.50 24.86 60.39 25.15 71 n 67.55 24.92 67.44 25.21 25.51 72 73 M. 60 24.97 68.49 25.27 68.38 25.57 68.26 25.86 73 74 69.54 25.31 69.43 25.61 25.92 69.20 •jr.. •» 74 7.-, 25.05 70.36 25.% 70.25 28. -J7 70.14 •JO. :,7 75 70 25.99 71.30 26.30 71.19 26.62 71.07 76 77 72.36 -.'.;. :;i 72.24 26.65 72.12 26,97 72.01 27.28 77 78 73.30 73.18 27.00 73.06 27.32 72.94 27.63 78 79 74.24 27. OB 74.12 27.34 74.00 27.07 73.88 27.99 79 80 75.18 27.36 75.06 27.69 74.93 28.02 74.81 28.34 80 81 76.12 27.70 75.99 28.04 75.87 28.37 75.75 28.70 81 82 77.05 28.38 76.81 28.72 76. 68 29.05 82 83 77.99 •JY :;•.. 77.87 28.73 29.07 77.02 29.41 83 84 78.93 28.73 78.81 29.07 78. (58 29.42 78.55 •_*.». 70 84 85 79.87 29.07 79.75 29.42 79. 62 2».77 79. !•' 30.11 85 86 MI M 29.41 96.06 29.77 80.55 30.12 80.42 30.47 86 87 -*'. 76 30.11 81.49 30.47 88 30.10 82.50 30.46 30.82 88 m 30.44 30.80 83. v, 31.17 31.53 89 90 84.57 84.44 31.15 8190 31.52 84.16 31.89 90 91 Bfcfl :u. 12 85.38 31.50 85.24 31.87 85.10 «.»l 92 si;, i.-, 31.47 86,31 31.84 32.22 32.59 92 93 87.39 87. •_':, 32.19 87.11 32.57 86.97 94 88. 33 32.15 88.19 32.51 88.06 32 "•-' 87.90 38.30 89.27 32.49 89.13 32.88 88.96 83.27 -x. M ::.<. . 6 M 32.83 90.07 33.23 si 01 96 97 91.00 33.57 DO. 86 33.97 '.». 71 34.37 97 98 92.09 •M. 52 M.94 38. •'•> 34.32 91.64 98 99 88.08 88,86 "J. xs 34.27 92.73 •••.' 58 99 100 93.97 34.20 98. vj 34.61 93.51 100 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 a 70°. .*«,'. OW- WH*. I 41479—10 4 TABLE 4.— TRAVERSE TABLE. 1 21°. 2\YS. 21^°. •K*. G f I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ? 1 0.93 0.36 0.93 0.36 0.93 0.37 0.93 0.37 1 2 1.87 0.72 1.86 0.72 1.86 0.73 1.86 0.74 2 3 2.80 1.08 2.80 1.09 2.79 1.10 2.79 1.11 3 4 3.73 1.43 3.73 1.45 3.72 1.47 3.72 1.48 4 5 4.67 1.79 4.66 1.81 4.65 1.83 4.64 1.85 5 6 5.60 2.15 5.59 2.17 5.58 2.20 5.57 2.22 6 7 6.54 2.51 6.52 2.54 6.51 2.57 6.50 2.59 7 8 7.47 2.87 7.46 2.90 7.44 2.93 7.43 2. % 8 9 8.40 3.23 8.39 3.26 8.37 3.30 8.36 3.34 9 10 9.34 3.58 9.32 3.62 9.30 3.67 9.29 3.71 10 11 10.27 3.94 10.25 3.99 10.23 4.03 10.22 4.08 11 12 11.20 4.30 11.18 4.35 11.17 4.40 11.15 4.45 12 13 12.14 4.66 12. 12 4.71 12.10 4.76 12.07 4.82 13 14 13.07 5.02 13.05 5.07 13.03 5.13 13.00 5.19 14 15 14.00 5.38 13.98 5.44 13.96 5.50 13.93 5.56 15 16 14.94 5.73 14.91 5.80 14.89 5.86 14.86 5.93 ID 17 15.87 6.09 15.84 6.16 15.82 6.23 15.79 0.30 17 18 16.80 6.45 16.78 6.52 16.75 6.60 16.72 6.67 18 19 17.74 6.81 17.71 6.89 17.68 6.96 17.65 7.04 19 20 18.67 7.17 18.64 7.25 18.61 7.33 18.58 7.41 20 21 19.61 7.53 19.57 7.61 19.54 7.70 19.51 7.78 21 22 20.54 7.88 20.50 7.97 20.47 8.06 20.43 8.15 22 23 21.47 8.24 21.44 8.34 21.40 8. 43 21.36 8.52 23 24 22.41 8.60 22.37 8.70 22.33 8.80 22. 29 8.89 24 25 23.34 8.9G 23.30 9.06 23.26 9.16 23.22 !». 26 25 26 24.27 9.32 24.23 9.42 24.19 9.53 24.15 9.63 26 27 25.21 9.68 25.16 9.79 25.12 9.90 25.08 10.01 27 28 26.14 10.03 26.10 10.15 26.05 10.26 26.01 10. 38 28 29 27.07 10.39 27.03 10.51 26.98 10. 63 26. '.14 10.75 29 30 28.01 10.75 27.96 10.87 27.91 11.00 27.86 11.12 30 31 28.94 11.11 2& £6 11.24 28.84 11.36 28.79 11.49 si 32 29.87 11.47 2i). S2 11.60 29. 77 11.73 29.72 11.86 32 33 30.81 11.83 30.76 11.96 30.70 12.09 30.65 12.23 33 34 31.74 12.18 31.69 12.32 31.63 12.46 31.58 12. 60 34 35 32.68 12.54 32.62 12. 69 32.56 12.83 32.51 12. 97 35 36 33.61 12.90 33.55 13.05 33.50 13.19 ,-{:5. 44 13. 34 86 37 34.54 13.26 34.48 13.41 34. 43 13.56 34.37 13.71 87 38 35.48 13.82 35.42 13.77 35.36 13.93 35.29 14.08 38 39 36.41 13.98 36.35 14.14 30.20 14.29 36.22 14.45 39 40 37.34 14.33 157. 2X 14.50 37.22 14.66 37.15 14.83 40 41 3.x. 2s 14.69 38.21 14.86 38.15 15.03 38.08 15.19 41 42 39.21 16.05 39.14 15. 22 39.08 15.39 39.01 15.56 42 43 40.14 15.41 40.08 15.58 40.01 15.76 39.94 15.93 43 44 41.08 15.77 41.01 15.95 40. 94 16.13 40.87 16.30 44 45 42.01 16.13 •11. "1 16.31 41.87 16.49 41.80 16.68 45 46 42.94 16.48 42. S7 16.67 42.80 16.86 42.73 17.05 46 47 43.88 16.84 43.80 17.03 43.73 17.23 43.65 17.42 47 48 44.81 17.20 44.74 17.40 44. (,ti 17.59 44.58 17.79 48 49 45.75 17.56 •!.-,. i\7 17.76 45.59 17.96 45.51 18.16 49 50 46.68 17.92 46.60 18.12 46.52 18.33 46.44 18.53 50 | Dcp. Lat. Dep. Lat. Dep. Lat. Dep. Lat. • 1 r,'.«°. 68^'. 68HV 68K°. ,_, i 50 I' \itl.i: l.-TKAVEKSE TABLE. o 21°. 21V- 21fc'. 215*°. 0 I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ? 51 47.01 18.28 47.53 IS. IS 47. 1.1 18.09 47.37 18.90 51 5'2 48.55 18.04 18.85 48.38 19.06 4S.KU 19.27 52 53 1'... 4S I&99 19.21 49.31 19.42 49.23 19.64 53 54 50.41 19.35 50.33 19.57 50. 24 19.79 50.10 20. Ill 54 55 19.71 51.20 19.93 51.17 20.10 51.08 ax 38 55 50 52.28 20.07 52.19 20.30 52.10 20.52 52.01 20.75 57 53.21 20.43 53.12 20.06 53.03 20.89 52. (J4 21. 12 57 58 54.15 20.79 54.00 21.02 53.90 21.20 53.87 21.49 58 59 55.08 .'1. n 54.99 21.38 54.89 21. 62 54.80 21. si, 59 00 50.01 21.50 55.92 21.75 55.83 21.99 55.73 &a 60 61 56.95 21.86 56.85 22.11 56.70 22.30 56.66 22.60 61 02 57.88 57.78 •21. 47 57.09 57.59 22.97 62 63 22.58 58.72 22.83 8&6S 23.09 58.52 23.35 63 64 59. tio a. 20 59.55 2». 41 i 59.44 2:<. 72 64 65 23.29 00.58 23.50 60.48 23.82 60.37 24.09 65 66 01.51 23.92 61.41 24.19 61.30 24. 4'- 66 67 24.01 24.28 02.34 24.50 62.23 24. Xi 67 68 2».:<7 03.38 24.05 63.27 24.92 t;-j. in 25.20 68 «54. 42 6431 25.01 64.20 64.09 25.57 09 70 05.35 25.09 05.24 25.37 65.13 25.00 05.02 25.94 70 71 •ft. 28 25.44 66.17 25.73 66.06 26.02 65.95 26. 31 71 26,80 67.10 26.10 Mi. '.".' 26.39 66.87 26.68 73 68.15 26. l.i 08.04 67.92 26.75 67.80 27.05 73 74 00.08 26.52 08.97 26.82 68.85 27.12 68.73 27.42 74 75 70.02 2... ss •190 27.18 69.78 27.49 69*66 27.79 75 70.95 27.24 70.83 27.55 70.71 27.85 70.59 76 27.59 71.76 27.91 71. 04 2-s. 22 71.52 28. &3 77 78 27.95 28.27 72.57 28.59 72. 4.1 28.90 78 79 28.31 28.03 73.50 28.95 73.38 29.27 79 80 74.09 28.67 74.50 29.00 74.43 29.32 74.30 29.04 80 81 29.03 75.49 2"..V. 75.36 29.09 75.2} 30.02 81 82 7«. 42 29. 72 76.29 80.05 70. 10 30.39 82 n 36.08 77. 22 30.42 77.09 30.70 83 84 30.10 78.29 30. 44 78. 10 30.79 31.13 84 85 79. 22 30.81 79.00 31.15 78.95 31.50 85 86 90.20 80.15 80.02 31.52 7'». --s 31.87 86 87 31.18 81.08 31.53 89.95 31.89 80.81 87 NX 31.89 81.88 81.74 88 M 31.88 s2. 96 32.26 82.81 89 90 32.25 83.88 83.74 32.99 83.59 33.35 90 '.'1 84.96 32.61 84.81 32.98 84.67 33.35 84.52 33.72 91 92 V,. Vt 85.74 33.34 85.45 34.09 92 93 86.82 ffl, 33 M.68 33.71 86.68 34.08 H 38 84.46 93 94 87.70 33.09 34.07 87. if. 34.45 87.31 .U.S.; 94 95 88.69 84. M 88.54 ^ X s.s. _' ! 88.20 95 M 89.62 34.40 v. 17 34.79 89.32 35.18 89.17 .-:,. :,; 96 97 90.56 34.76 90.40 35.16 90.25 :::, 66 90.00 8ft. "4 97 98 91.49 35.12 •.•!..;» U 53 91.18 35.92 91.02 86.31 98 99 '.).'. 12 :;:,. -is U2. -'7 3ft, >s 92.11 9L96 86.69 99 100 93.36 35.84 93.20 36.24 93.04 8&68 '...'. ss 37.06 100 I Dep. Lat. Lut. Dep. Lat. Dep. Lat. § I jr. r.sv. •W. 68J<-. TABLE 4.— TRAVERSE TABLE. 2 cj- 22C. 22^<>. 2J',°. 1>2;V. a I I 1 Lat, Dep. Lat. Dep. Lat. Dep. Lat. Dep. I- P 1 0.93 0.37 0.93 0.38 0.92 0.38 0.92. 0.39 i 2 1.85 0.75 1.85 0.70 1.85 0.77 1.84 0.77 2 3 •2. 7S 1.12 2.78 1.14 2.77 1.15 2.77 1.10 3 4 3.71 1.50 3.70 1.51 3. 70 1.53 3.09 1.55 i 5 4.0! 1.87 4.63 1.89 4.02 1.91 4.01 1.93 5 8 5. 5(i 2.25 5.55 2.27 5.54 2.30 5.53 2.32 6 7 0.49 2.62 6.48 2.05 8.47 2. 08 (i. .Hi 2.71 7 8 7.42 3.00 7.40 3. 03 7.39 3. 00 7. 3S 3.09 8 9 8.34 3.37 8.33 3.41 8.3.1 3.44 8.30 3.4S g 10 9.27 3.75 9.26 3.7'J !». 24 3.83 H. L'L1 3.87 10 11 10.20 4.12 10.18 4.17 10. 10 4.21 10.14 4.25 n 12 [1.13 4.50 11.11 4.54 11.09 4.59 11.07 4. 04 12 13 12.05 4.87 12.03 4.92 12.01 4.1)7 11.99 5.03 13 14 12. 98 5.24 12. 96 5.30 12,93 5.36 12.91 5.41 N 15 1I1.91 5. 62 13.88 5.08 13.86 5. 7 1 13.83 5.80 1.1 16 14. S3 5.99 14.81 6.08 14.78 0.12 14. 70 6.19 If, 17 15. 70 6.37 15.73 0. 44 15.71 6.51 15.68 6,67 17 .18 in. oil (i. 74 10. 00 0. 82 16.63 ft. 89 16.60 6.96 18 19 17. 02 7.12 17.59 7.19 17.55 7.27 17.52 7.35 1!) 20 18.54 7.49 18.51 7.57 18.48 7.65 18.44 7.73 n 21 19.47 7.87 19.44 7. !>.-> 19.40 8.04 19.37 8.12 L'l •22 20.40 8.24 20. 3 23. !'X 10.05 26 17 L>:>.o:i 10.11 24.99 10. 22 24. 94 10. 33 24.90 10. 44 27 28 25.96 10.49 25.92 10.00 25.87 10.72 25. 82 10. S3 28 '29 28.89 10.86 26. 84 10.98 20. 79 11.10 26.74 11.21 29 30 27. 82 11.24 27.77 11.30 27. 72 11.48 27.67 11.60 30 31 28.74 11.01 28.69 11.74 28.64 11.86 28.59 11.99 si 32 li'.i. 67 11.99 •j<). r,2 12. 12 29.56 12.25 29.51 12.37 32 33 30.60 12.36 30.54 12.50 30.49 12. 03 30.43 12.76 33 34 31.52 12.74 31.47 12.87 31.41 LS.01 3J.35 13.15 34 35 32. -lo 13. 1 1 32. 3!) 13.25 32. 3 } 13. 39 32. 2S 13,53 35 3(5 33.38 L3 »•.• 33. 32 13.63 :53. '-''i 13. 7S 33.20 13. !»2 36 37 34. 31 13.86 34.24 14.01 34.18 II. h. 31. 12 14.31 37 38 .r>. 23 14.24 35.17 14. 3!) 35.11 14..r)4 35.04 14.70 38 39 311. Hi ll.i.l 36. l<) 14.77 36.03 14.92 35.97 15.08 39 40 37.09 14.98 37.02 15.15 36.96 15.31 36.89 15.47 40 •11 38.01 15.36 37.95 15.52 37. XN 15. 09 37.81 15.86 41 42 38.94 15.73 38.87 15.90 88.80 10. 07 38.73 10. 24 42 a 39.87 16.11 W.80 L6.28 39. 73 10. .Hi 39. 05 16.63 43 44 40.80 40.72 16.66 40.05 16.84 40.58 17. 02 44 45 41.72 1C,. M, 4L< 5 17.04 41.57 17.22 41.50 17.40 45 4d 42. to 17. 23 42.57 17.42 42. 50 17. GO 42.42 17.79 46 47 43.58 17.01 43.50 17.80 43. 42 17.99 43. 34 is. IN 47 48 44.50 17.98 44.43 18.18 44.35 18.37 44. 27 18. 50 48 49 45.43 18. 36 45.35 18.55 •I.-,. 27 18.75 4.V 1!) 18.95 49 50 4(5. 36 18.73 46.28 18.93 40. 19 19.13 40.11 50 § Dep. Lat. Dep. Dep. bit Dep. Lat. I 1 rift 07j|*. I 52 TAHLK 4.-TK \VK.KSK TABLE. I .22°. 22K°. 22',\ 9K>> 1 J Lat. Dep. Lat. Dep. I. at. Dep. i^t. I 51 47.29 19.10 47.20 19.31 47.12 19.52 47.03 19.72 51 4.VJ1 W.48 10.00 48.04 !'.». («) 47.95 20.11 52 53 4'.». 1 1 19.85 49.05 20.07 48.97 2d. 2s 4s. ss 20.50 53 54 50. 07 49.98 20.45 49.89 20.66 49.80 ML 88 54 55 51. (X) 50.90 20.83 50.81 21.05 50.72 21.27 55 61.92 51.83 21.20 51-74 21.43 51.64 21.66 56 21.58 21.81 52.57 22.04 57 58 .13. 7s 21.73 53.68 21.96 53.49 58 2110 54.01 22.34 54.51 22.58 54.41 59 n 55.63 65.53 22.72 55.43 55.33 23.20 60 u 56.56 22. 85 56.46 23.10 56.36 23.34 56.25 23.59 01 23.23 57.28 23.73 57.18 23.98 63 58.31 23.85 58.20 34.11 .Vv 10 21.36 68 .7.t. 3 » 23. H7 59.23 24.23 60.13 21. !'.» 24.79 64 24.35 60. 10 24.61 60. 05 24.87 59.94 25.14 65 66 6L19 24.72 BLOB 21. '.Hi 2.->. Jtl 60.87 25.52 66 r,7 25.10 62. 01 25.37 61.90 61.79 25.91 67 68 68.05 •J.1. 7.-, 62.82 36.02 62.71 26. 30 68 25.85 63.86 2i i. 13 63.75 26.41 63.63 26.68 69 70 64.90 64.79 26.51 64.67 2.1. 7'.» 64.55 27.07 70 71 20. 00 CM. 71 26.88 65.60 27.17 65.48 27.46 71 n 27.26 66.52 27. ;..-, Ni. -10 27.84 72 7:< 67.68 27. So 27.64 c,7. •} 1 27. '.11 67. 32 28.23 73 71 1'7. 7.' 68.37 28. 32 28.62 74 7.-, 28.10 t.'.l. 12 28.40 6|i. _".) 28.70 f.'». !7 29.00 75 70. -17 28.47 70.84 28.78 70.21 29.08 70.09 29.39 16 77 71. '.'7 2!». 16 71.14 29.47 71.01 29.78 77 29.53 72.06 29.85 n.9a 30.16 78 7:<. 2:> 73.12 29.91 80,23 72.85 30.55 79 80 74.17 L".i. '.17 74. 04 30.29 Turn 30. 61 73.78 30.94 80 81 7.',. K> 30. 34 71. "7 30.67 74.83 31.00 71.70 31.32 81 30. 72 31.0.-) ::, 76 31.38 31.71 31.09 31.43 76.68 81.76 76.54 32.10 83 77. 7.-, 31.81 77.81 32.48 84 a. 84 32. !'.» 32.87 85 33.26 86 87 3-'. 94 33.29 33. 04 87 88 M. i:, 33. 32 81.15 34. a3 88 89 33.34 33.70 82. 13 U 86 33.71 83.30 34.08 83.15 :i». n 83.00 90 M 34.40 84.07 3.1. 10 91 31. Hi 85.00 BLOB 35.21 :i.v 86 93 M 94 96 *i. 73 97 i «.*». 70 37. 1 1 37. .r>0 M '.'1.7'i 99 100 37.86 92.39 38.67 100 i Dep. Dep. Lat. Dep. Lat. Dep. Lat. 8 68*. 67H'. 6W. 67H'. 1 53 TAHLK 4.— TRAVERSE TABLE. 2 2:5°. 23^°. aft*. a i r+ Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P P i 0.92 0.39 0.92 0.39 0.92 0.40 0.92 0.40 1 2 1.84 0.78 1.84 0.70 1.83 0.80 1.83 0.81 2 3 2.76 1.17 2.76 1.18 2.75 1.20 2.75 1.21 3 4 3.68 1.56 3.68 1.58 3.67 1.59 3.66 1.61 4 5 4.60 1.95 4.59 1.97 4.59 1.99 4.58 2.01 5 6 5.52 2.34 5.51 2.37 5.50 2.39 5.49 2.42 0 7 G.44 2.74 6.43 2.76 (i. 42 2. 7'.) C..41 2.82 7 8 7.-30 3.13 7. .So 3.16 7. 34 3.19 7.32 3.22 8 9 8.28 3.52 8.27 3.55 8.25 3.59 8.24 3. 02 9 10 9.21 3.91 9.19 3.95 9.17 3.99 9.15 4.03 10 11 10.13 4.30 10.11 4.34 10.09 4.39 10.07 4.43 11 12 11.1).-) 4.60 11.03 4.74 11.00 4. 7> 10.08 4. S3 12 13 11.07 5.08 11.94 5.13 1 i . 92 :,. i s 11.90 '». 2 1 13 14 12. 89 5.47 12.8(1 5.53 12. SI .-,. -,s 12.81 5.64 M 15 IX SI 5.86 13.78 5.92 13.76 .-,. 9S 13. 73 (i.04 15 10 14.73 6.25 14. 70 6.32 14.67 0. 3S 1 4. C.4 6.44 1C, 17 L5.6B <;. 04 15.62 0.71 15.56 0. 7S 15.50 f,. s;, 17 18 16.57 7.a3 10.54 7.11 10.51 7. is 16.48 7.25 18 It 17.49 7.42 17.40 7.50 17.42 7. :,s 17.39 19 20 18.41 7.81 18.38 7.89 18.34 7. 97 18.31 8.05 20 21 19.33 8.21 19.29 8.29 19.26 8.37 19.22 8.46 21 22 20.25 8. GO 20.21 8.68 20.18 8.77 20.14 8.86 n 23 21.17 8.99 21.13 9.08 21.09 9.17 21.05 9.20 23 24 22.09 9.38 22.05 9.47 22.01 9.57 21.97 9. 07 24 25 23. 01 9.77 22.97 9.87 22. 93 9.97 22. ss 10.07 25 26 23.93 10.10 23. 89 10. 26 23. s l 10.37 23.80 10.47 26 27 21. ^.-> 10.55 24.81 ML 66 24.76 10.77 24.71 10.87 27 28 25. 77 10. 94 25.73 11.05 25.68 ILK; 25.63 11.28 28 29 28k 60 11.33 2(i. M 11.45 26. 59 11.56 20. 54 11. ix 29 30 27.62 11.72 27.56 11.84 27. 51 11.96 27.46 12.08 30 31 28.54 12.11 28.48 12.24 28. 43 12.30 12.49 31 13 29. 1C. 12.50 2'.). 40 12.63 29. 35 12. 7(1 29. 29 12.88 32 33 .-!(). 3X 12.89 30.32 13.0:; 30. 20 13. 10 30.21 13.29 33 §4 81.30 13.28 3L24 13.42 81.18 I3.,r)o M 84.06 14. Hi .',1. (HI 14,61 1 1. 7:. 1 J.'.MI 37 31. '.is 14.86 34.01 if,, oo 15.15 3I.7S 15.30 3S 39 33.90 15.24 :<:.. S3 15.40 35. 77 1 5. M 3.T). 70 15.71 39 40 15.03 8&75 15.79 15.95 3(i.(il 16.11 40 41 .-,7.71 16.02 10. 18 37. 00 ir..3.-) 37. 53 10.51 41 42 10.41 16.58 16.75 88. 11 us. 92 12 4:< Iti.SO 30.61 16. §7 3'.). 43 17.15 3'.». 3f, 17.32 43 41 -10. /in 17.19 40.43 17.87 17.54 40.27 17.72 11 4fj 41.42 17.« 11.3.-, 17. 7<; 41.27 17.94 11. l!» 18.12 48 42. 34 17.'.»7 42. 26 18.16 42. Is 18.34 42. JO 4d 47 43.26 18.86 i.;. is 1 s. ;-,:, 43.10 18.74 13,02 18. M 17 IN 41. is 44.10 18.05 41.02 l'i. i i 43. 93 10.33 IS 4!) }.V in l". i:, .I.",. 02 10.34 14.04 10.54 ll.s:, 19.73 19 50 19.54 45.94 19.74 15. S5 19.94 45.77 20.11 50 i Dep. Lat. Dep. L:it. Dep. L:it. Dep. Lat. OJ 1 i r,7°. C6$r. G6H°- 66>i0. 1 Q TAII1.R 4.-TRAVEKSK TABLE. 1 23°. 23K-. 23H8. 23»4°. | I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 4f..95 19.93 46.86 20.13 40.77 20.34 46.68 20.54 51 52 47.87 20.32 47.78 20.53 47.09 20.73 47.60 20.94 52 a -is. 79 20.71 48.70 •jn.'.rj 48.00 21.13 48.51 21.38 53 54 49.71 21.10 49.61 21.32 49.52 21.53 49.43 21.75 54 55 50. 03 21.49 50.53 21.71 50.44 21.93 5». 31 22.15 55 56 51.55 21.88 51.45 22.11 51.36 22.33 51.26 22.55 56 57 52.47 22.27 22.50 52.27 22.73 52.17 22.% 57 58 88,39 53.29 22.90 53.19 23.13 53.09 23.3(i 58 59 54.31 23.05 54.21 23.29 54.11 23.53 54.00 23.76 59 60 .v,. •_>;{ 0.44 55.13 23.68 55.02 23.92 54.92 24.16 60 ill 5fi.l5 «3.83 50. 05 24.08 55.94 21.32 55.83 24.57 61 <;•_> 57.07 24.23 16.87 24.47 66.86 24.72 56.75 24.97 02 tt •J l i J 57.88 24.87 57.77 25.12 57. (in 25.37 88 M 58.91 25.01 88.80 25.20 5X. 69 25.52 ;,s. .-is 25.78 84 59.83 •j:>. M 59.72 '_'-.. (Ki 59. til 25.92 59.50 26.18 65 60.75 25.79 60.64 20.05 60.53 26.32 60.41 26.68 60 67 lil.r.7 26.18 61.56 26.46 61.44 26. 72 01.33 26.98 67 68 20.57 62. 48 20.84 (12. 36 27.11 62. 24 27.39 68 63.51 26.96 63.40 27.24 63.28 27.51 63.16 27.79 69 70 64.44 27.35 64.32 27.03 64.19 27.91 64.07 28.19 70 71 05. 3T> 27.71 65.23 28.03 65.11 28.31 64.99 28.60 71 n 28.13 66.15 L'.s. 4'.» 66.03 28.71 65.90 29.00 72 73 67.20 28.52 (17.07 2x-. v-' (50. 95 29.11 66.82 29.40 73 74 68.12 28.91 67.99 29.21 67.86 29.51 67. 73 29.80 74 75 69.04 29.30 68.91 29.61 68.78 29.91 68. 05 30.21 75 M 29.70 69.83 30.00 09.70 30.30 69. 56 30.61 M 77 70. as 30.09 70.75 30.40 70.61 30.70 70. 4H 31.01 77 7s 71.80 30.48 71.67 80.79 71.53 31.10 71.39 31.41 78 79 7-.'. 7-.' 30.87 72.58 31.18 72.45 31.50 72.31 31.82 79 90 73. til 31.2l> 73.50 31.58 73.36 31.90 73.22 32.22 80 81 74.56 31.65 74.42 31.97 74.28 32.30 74.14 32.62 81 82 ir,.-\^ 75.34 32. 37 75.20 32.70 76.08 33.03 82 83 76.40 32.43 76.26 32.76 7d. 12 33.10 75.97 33.43 E 84 :«. .xj 77.1s 33. 1»> 77.03 33.49 76.89 33.83 84 85 78.24 78.10 33.55 77.95 88.89 77.80 34.23 85 »; 79.16 33. u) 79.02 33. '.i;, 78.87 84.29 78.72 84.64 87 80.08 33.99 79.98 84.84 79.78 34.09 79.63 35.04 87 88 81.00 84.88 80.86 34.74 80.70 86.09 35.44 88 81.92 81.77 M.13 81.62 35.49 81. 4<; 35.84 V.I 90 .v_>. s:, 35.17 82.69 3.-,. 53 tt.64 3->. V. yj. ;N 36.25 90 91 83.77 35.56 83.61 35.92 M. i:, 36. 2!» 83.29 86.68 91 92 84. (19 84.53 86.82 84.87 •M. .,S 84.21 37. o:, 92 93 36.71 86.29 85.12 37. 40 93 94 Mi. 37 37.11 86.20 37. -is 94 95 87.12 87.29 37.50 s7.r_> 37. x.x B6.95 95 M .x>. 37 37.51 88.20 87.90 a. 04 3S. 'js -96 97 87.90 89.12 38.29 88.95 88.68 88.7 • 97 98 90.21 3s. IN 90.04 SM. S7 89.08 89.70 39.47 98 91.13 90.% 3'. I.MS «.»o. 7'i :"i. -js 90.62 39.87 99 100 92.05 39.07 91.88 39.47 91.71 29.87 '.»!.. M 40.27 100 1 Dep. Lat. Dep. Lat. Dep. Itft Dep. Lat. 1 i (17 \ W. 6«H^ 66M'. i TABLK 4.— TRAVERSE TABLK. o sr 24°. 24^°. 24V*°. MM*. 0 £ I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I i 0.91 0.41 0.91 0.41 0.91 0.41 0.91 0.42 , 2 1.83 0.81 1.82 0.82 1.82 0.83 1.82 0.84 2 3 2.74 1.22 2.74 1.23 2.73 1.24 2.72 1.2(1 3 4 3.65 1.63 3.65 1.64 3.64 1.66 3.63 1.67 4 5 4.57 2.03 4.56 2.05 4.55 2.07 4.54 2.09 5 6 5.48 2.44 5.47 2.46 5.46 2.49 5.45 2.51 6 7 6.39 2.85 6.38 2.88 6.37 2.90 6.36 2.93 7 8 7.31 3.25 7.29 3.29 7.28 3.32 7.27 3.35 8 9 8.22 3.66 8.21 3.70 8.19 3.73 8.17 3.77 9 10 9.14 4.07 9.12 4.11 9.10 4.15 9.08 4.19 10 11 10.05 4.47 10.03 4.52 10.01 4.56 9.99 4.61 11 12 L0.96 4.88 10.94 4.93 10,92 4.98 10.90 5.02 12 13 11.88 5.29 11.85 5. 34 11.83 5.39 11.81 :.. 1 1 13 14 12.79 5. »'.!l 12.76 5.75 12.74 5.81 12.71 5.86 11 15 13.70 6.10 13. 68 6.16 13. 65 6.22 13. 62 6.28 15 16 14*62 6.51 11.59 6.57 14.56 6.64 14.53 6.70 16 17 15.53 6.91 15.50 6.98 15.47 7.05 1 .'). 1 1 7.12 17 18 li.. 41 7.32 16. 41 7. :5'.) 16. 38 7.46 16.35 7.54 18 19 17.3ti 7.73 17.32 7.80 17.29 7.88 1 7. 2.-) 7.95 19 20 18.27 8.13 18.24 8.21 18.20 8.29 18.16 8.37 20 21 19.18 8.54 19.15 8.63 19.11 8.71 19.07 8.79 21 22 20.10 8.95 20. 06 9.04 20.02 9. 12 19.98 9.21 22 23 21.01 •_' 18.71 41.94 II. si, 41.77 19.26 46 47 42.94 12.77 47 48 19.62 i:>. 7>. 19.71 43. i.s 19.91 43. :.!» 20.10 48 49 44.78 19.93 •20. 13 14.50 20.51 Ifi 50 45.59 20.73 l.V 11 20.93 50 § Dep. Lat. Dcp. Lai. Dep. Lat. Dep. Lat. 1 I 66°. 855i8. 653*'. 65V. 1 fl 5C TV III I. 1. TKVVKHSK TABLh. 1 2-1°. 24K". 24H«. 24%°. 1 I Lat. Dep. Lat. Dep. Lat. Lat. Dep. I 51 46.59 20.74 49. M 80.96 46.41 21.15 46.32 21.35 51 52 47.50 21.15 47.41 21.36 47.32 21.56 47. 22 21.77 52 53 43.42 21.56 48.32 21.77 -lx. 23 21.98 48.13 22.19 53 54 4:). 33 21.96 49.24 22.18 49.14 22.39 49.04 22. <;i 54 55 50.25 22. .57 50.15 22.59 50.05 22.81 49.95 23.03 55 56 51.10 22.78 51.06 23.00 50.96 23.22 50.86 23.44 5(> 57 52.07 23. is 51.97 23.41 51.87 23.64 51.76 23. Mi 57 58 :,.'. w •J3. .V.I :•.'. xs 2.1. .X2 52.78 24.05 52.67 24.28 58 59 53.90 24.00 53.79 24.23 53.69 24.47 53.58 21.70 59 60 :,4.M 24.40 54.71 24.64 54.60 24.88 54.49 25.12 60 61 55.73 24.81 55. (52 25.05 55.51 25.30 55.40 25.54 61 62 25.22 56.53 25.46 56.42 25.71 56.30 2'l '.Mi 62 63 57.55 57.44 25.88 57.33 26.13 57. 21 26.38 63 64 58.47 26.03 58.35 •Jf.. :•«» 58.24 26. 54 58.12 26.79 64 65 59.38 2»;. 14 59. 2ii 26.70 59.15 26.96 59.03 27.21 65 66 60,28 2ii.s» »}. IS 27.11 60.06 27.37 59.94 27.63 66 61.21 27.25 61.09 27.52 68.97 27.78 60.85 28.05 67 68 62.00 27.93 61.88 28.20 61.76 28.47 68 69 6ft. OG 88.06 62.91 2.s. .34 112. 7!» 28.61 62. C.ti 28.89 69 70 63.95 28.47 63.82 28.75 63.70 29.03 63.57 29.31 70 71 64.86 28.88 64.74 29.16 64.61 29.44 64.48 29.72 71 72 65.78 29.29 29.57 65.52 29.86 ti.r>. ;v.) 30.14 72 73 «;. t\\t 29.69 M. 43 30.27 66.29 30.56 73 74 30.10 67.47 30.39 67. 34 30.69 (17. JO 30.98 74 75 .30.51 68.38 30.80 1-X. IT. 31.10 68.11 31.40 75 76 30.91 r,w. -''.) 81.21 69. 16 31.52 69.09 31.82 76 77 70.34 31.32 70.21 31. . I.", 71.89 32. 76 71.74 33.07 79 80 73.08 32. :. i 72.94 72.80 33.18 33.49 80 81 74.00 32.95 33.27 73.71 33.59 78.M 33.91 81 82 74.1)1 33.35 74.76 71. t,2 34.00 74. 17 34.33 82 83 33. 76 75.68 34.09 75.53 34.42 75. :(s 34.75 83 84 7ti. 74 34. 17 34.50 76.44 34.83 76.28 35.17 84 85 77.50 84.91 77.35 35.25 77.19 35.59 85 86 34.98 78.41 35.32 78.26 7x in 3(5.00 86 87 7!l. IX 79.17 36.08 79.01 31'.. 42 87 88 80.39 81. 7'» 80.24 •M. 14 80,08 •M. l'» 71'. jr.' 88 89 81.31 86.20 si. I.'. 80.86 36.91 80.83 89 90 S2. 22 36.61 82.00 81.90 37.32 81.73 37.68 90 91 83.13 87.O1 81. §7 37. 3s 82.81 37.71 82.64 3S. 11) 91 8406 M. X.S 83.55 92 93 84.96 84.79 88.20 :ts. :,7 8446 88.94 93 94 85.87 85.71 3.s. '.is 85.37 39. as 94 95 sr,. 7'.» 86.45 88.40 88.27 39.77 95 96 87.70 87. 58 39.43 88.81 87.18 97 88.61 vs. 1 1 ss. -J7 40.23 88.00 40.1,1 "7 M 89.86 V. ;<.-, 40.28 X'.. IS 40.64 88.00 98 99 90.44 40.27 80.26 40. Crfi 88.09 41.05 88.91 99 100 91.35 40.67 91.18 IL07 91.00 11. 17 90.81 41.87 100 I Dep. l..it. Dep. I/.it. Dep. I.al. Dep. Lat. | § 66°. 66H°. 65H'. 65^°. § 57 TABLE 4. -TRAVERSE TAKLE. 0 25°. 25tf«. 25J4'. KM* d 5 p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 1 0.91 0.42 0.90 0.43 0.90 0.43 0.90 0.43 1 2 1.81 0.85 1.81 0.85 1.81 0.86 1.80 0.87 2 3 2.72 1.27 2.71 1.28 2.71 1.29 2.70 1.30 3 4 3.63 1.69 3. d2 1.71 3. (11 1.72 3.60 1.74 4 5 4.53 2.11 4.52 2.13 4.51 2.15 4.50 2.17 5 6 5.44 2.54 5.43 2.56 (,. 42 2.58 5.40 2.61 8 7 6.34 2.9* 6.33 2.99 6.32 3.01 (1. 30 3.04 7 8 7.25 3.38 7.24 3.41 7.22 3.44 7.21 3.48 8 9 8.16 3.80 8.14 3.84 8.12 3.87 8.11 3.91 9 10 9.06 4.23 9.04 4.27 9.03 4.31 9.01 4.34 10 11 9.97 4.65 9.95 4.69 9.93 4.74 9.91 4.78 11 12 10.88 5.07 10.85 5.12 10.83 5.17 10.81 5.21 12 13 11.78 5.49 11.76 5.55 11.7:5 5. (K) 11.71 5. li.-, 13 14 12. 09 5.92 12. 66 5.97 12.6-4 (1.03 12. 61 6.08 14 15 13.59 6.34 13. 57 6.40 13. 54 6.46 13.51 6.52 15 16 14.50 ti. 7. 93 17.81 41 42 17. 75 37.99 17.92 37.91 IS. OS 37. S3 18.25 42 43 is. 17 as. vi 1 s. :; | 38.81 18.51 18.68 43 44 18.60 18.77 30.71 is. '.H :«». (13 I1.!. 12 44 45 40.78 19.02 40.70 19.20 -10. (12 19.37 40. 5:» 1 '. .V, 45 48 4l.ni 19.44 41.60 19.62 41.. 72 L9.80 41.43 1!). '.IS 4(1 47 19. 86 42.51 12. VI 2!1. 23 20. 12 47 48 4S.50 20.29 43. 1! 20.48 43. 23 20.85 is 49 44.41 20.71 44.32 20.90 21.10 14. i:; 21.29 M 50 45.32 •Jl. i:i 45.22 21.33 I.',. 13 21.63 21.72 80 I Dep. Lat. Dep. Lat. Dep. L:if. Dep. Lat. | 1 65°. 64%°. 64H°. 64M». & 1 d 58 T\i;i.K I. T\lll,K. o 25tf' ' ' •'.-•V ' g I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 46.22 46.13 21.76 46.03 21.96 45.94 51 47. 13 21.98 47.03 46.93 22.39 •It'.. ^4 22. 5:i 52 48.03 22. 10 22.61 47.84 22.82 47.74 23.03 53 54 48.84 23. 2o 48.64 23. 46 54 55 49.75 23. If, 49.64 23.68 23.89 55 50.65 50.54 24.11 50.44 56 51.55 24. 31 61.46 24.54 51.34 24. 76 57 24^74 i 52.35 24.97 52.24 25.20 58 •j.v i ; 53.25 25.40 53.14 25. 63 59 60 25.59 54.16 25.83 54.04 26.07 60 f,l .«. 17 26. 02 55.06 26.26 26.50 61 ">li. I'l 55.96 55.84 a 27. 12 66.74 27.37 63 27.55 67.64 27.80 64 27. 73 58.67 58.55 28.24 65 28. I.'. 28.41 28.67 66 60.60 (10.47 60.35 29.11 67 68 61.50 29.01 29.27 6L26 29.54 CiS 2-». 1«. 29.43 29.71 62. !.-• 29.98 70 (H. 44 (3.31 li3. IS 30.14 («. 05 30.41 70 71 30.01 30.29 64.08 30.57 63.95 30.85 71 7 • 30. 43 30. 71 31.00 31.28 72 73 M. 16 (16. OS 31.14 81.43 65.75 31.71 73 71 67. 07 31.57 lilt 7'» 31.86 32. 15 74 31.70 31.99 32.58 75 76 32. 42 68.60 32. 72 68.45 33.02 w 77 33. 1") 33. 45 77 7x 33. 27 70.40 33. Ml 71.60 71.30 34.01 71. 16 34.32 79 M) 34.13 72.21 34.44 72.06 34. 7f, 80 81 73.41 73.11 72.96 35.19 81 82 74.17 74.01 73.86 35.62 82 7.V 07 35.41 71. !>1 3.V 73 74,78 7'i. 1 ! 84 77.04 76.56 85 37. 1 1 78.52 37. 1." 87. )'' 87.64 79. 43 m 90 81.67 M.23 39.10 90 K s2. 1 1 81.96 39.97 M. 11 93 94 •10. Ill 10. 17 10. M "1 M;. 10 •10. !."• 11.27 95 41.71 96 41.78 12. 1 1 M M 11.84 no 90.07 Dep. Lat. Dep. Lat. TABLE 4.-TRAVERSE TABLE. o 26°. IW» LV,'/. p 1 f § I Lut. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i l 0.90 0. 44 0.90 0.44 0.89 0.45 0.89 0.45 i 2 1.80 0.88 1.79 0.88 1.79 0.89 1.79 0.90 2 3 2.70 1.32 2.69 1.33 2.68 1.34 2.68 1.35 3 4 3.60 1.75 3.59 1.77 3.58 1.78 3.57 1.80 4 5 4.49 2.19 4.48 2.21 4.47 2.23 4.46 2.25 5 6 5.39 2.63 5.38 2.. 65 5.37 2.68 5.36 2.70 6 7 6.29 3.07 6. 2X 3.10 6.26 3.12 6.25 3.15 7 8 7.19 3.51 7.17 3.54 7.16 3.57 7.14 3. GO 8 9 8.09 3.95 8.07 3.98 8.05 4.02 8.04 4.05 1) 10 8.99 4.38 8.97 4.42 8.95 4.46 8.93 4.50 10 11 9.89 4.82 9.87 4.87 9.84 4.91 9.82 4. P.'. 11 12 10.79 5.26 10.76 5.31 10.74 5.35 10.72 5.40 12 13 11.68 5.70 11.66 5.75 IL63 5.80 11.61 13 11 12.58 6.14 12.66 6. 19 12.53 6. 25 12.60 6.80 14 15 13. IS ft. 68 13.45 6. 63 13. 42 6. C»9 13. 39 16 16 14.38 7.01 14.35 7.08 14.32 7.14 14.29 7.20 16 17 18.28 7.45 15. 25 7.52 15.21 7.59 i:>. is 7.65 17 18 Hi. is 7.89 16. 14 7.96 16.11 8.03 16. 07 8.10 is 19 17.08 8.33 17.04 8.40 17.00 8.48 16.97 s. 65 19 20 17.98 8.77 17. 94 8.85 17.90 8.92 17.86 9.00 30 21 18.87 9.21 18.83 9.29 18.79 9.3? 18. 75 9.45 21 22 19.77 9. 61 Hi. 73 9.73 19.69 9.82 19.66 9.90 22 23 20.67 10.08 20-63 10.17 20.58 10.26 20.54 10.35 23 24 21.57 10.52 21.52 10. 61 21.48 10.71 21. 43 10.: SO 14 25 22.47 10.96 •22. 42 LL06 11.15 22. 32 25 26 23.37 11.40 23.32 11.50 23. 27 11.60 23. 22 11.70 26 27 24.27 11.84 24.22 11.94 24,16 12. 05 24. 1 1 12. 15 27 28 25.17 12. 27 25.11 12.38 25.0(5 12.49 25. 00 12. 60 2s 29 26. 07 12.71 26.01 12.83 •_'.->. !i:, 12.94 25.90 13.05 29 30 26.96 13. l"j 26.91 13.27 26.85 13.39 26. 7!) 13.50 30 31 27.86 13.59 27.80 13.71 27.74 13.83 27. C.s 13. 95 31 32 L'S. 76 14.03 28.70 14. 1.1 28.64 1 1. 28 14.40 a 29.66 14.47 29.60 14.00 14.72 29. -17 14.85 34 30. 50 14.90 30.49 15.04 30. 43 I.'). 17 80.36 15.30 84 35 31. 46 15.34 31.39 15.48 81.32 16.62 81.25 15. 75 35 IB 15.78 32.29 15.92 32. 22 16.00 32. 15 16. 20 86 37 88.26 16.22 33.18 16.36 33. 1 1 16.51 33.04 16,66 :<7 38 34. r> 84.08 16.81 34.01 16.96 33. !».; 17.10 39 35.05 17.10 34.98 17.25 34.90 17.40 17.55 89 40 35.95 17.53 35.87 17.69 86.80 17.85 3.'). 72 18.00 .ID 41 36.85 17.97 36. 77 18.13 36. 69 18.29 16.61 18.45 41 37.75 18.41 18.58 is. 71 37.51 18.90 42 43 38. 65 19.02 :4 70.70 35. 25 70.55 35. 56 79 09 71.90 35.07 71.75 35.38 71.59 35.70 71.44 36.01 80 72.80 72.65 35.83 72.49 36. 14 72.33 36. 46 81 36.95 36.27 73.38 36.59 02 - 74.00 74.44 74.28 37.03 71. 12 83 04 87.15 76.17 37.48 75. 01 37.81 84 7I--.4H 37.26 37.59 37.93 85 77.30 37.70 77. 13 38.04 76.96 M 78.03 00.48 38.82 07 79.09 7S. 7:. 39.27 88 89 7'.«. '".1 79. 65 39.71 7!i! 4s H 90 80.89 39.45 80.72 39.81 80.54 40.16 80.37 90 91 81.79 39.89 40. L'.'i SI. 44 40.60 81.26 40.% 91 40.69 41.05 41.41 92 93 41.13 41.50 93 41.21 41.58 41.94 94 42.39 95 08 87.00 42.00 97 B8.08 43. 73 4». 11 9S 99 80.06 44.17 99 loo 89.88 43.84 89.69 44.23 89.49 89.30 45.01 100 Ufc Dep. Lat. Dep. Lat. Dep. Lat. i - 04-. W <**-. 8 TABLE 4.— TRAYKKSK TA1ILK. 1 27°. 27Ji°. 27H°- mc> I I Lat. Dcp. Lat. Dep. Lat. Dep. Lat. Dep. 1 1 0.89 0.45 0.89 0.46 0.89 0.46 0.88 0.47 1 2 1.78 0.91 1.78 0.92 1.77 0.92 1.77 0.93 2 3 2.67 2. 67 1.37 2.66 1.39 2.65 1.40 3 4 3.56 1.82 3. 5(1 1.83 3.55 1.85 1.86 4 5 4.46 2.27 4.45 2.29 4.44 2.31 4.42 2.33 5 6 5.35 2.72 5.33 2. 75 5.32 2.77 5.31 '_'. 7!> (1 7 (l. 24 3.18 6.22 3.21 6.21 3. 23 6.19 3.26 7 8 7.13 3.63 7.11 3.(iG 7.10 3. (19 7.08 3.72 8 9 8.02 4.09 8.00 4.12 7.98 4.16 7. 9(1 4.19 9 10 8.91 4.54 8.89 4.58 8.87 4.62 8.85 4.66 10 11 9.80 4.99 9.78 5. 01 9.76 5.08 9.73 5.12 11 12 10. 69 5.45 10. 67 5.49 10.64 5.54 ! 1o.t,2 5.59 12 13 11.58 5.90 11. /ill 5.95 11.53 6.00 11.60 6.05 13 14 12.47 6.36 12.45 (1.41 12.42 ;;. -it; 12.39 14 15 13.37 6.81 13.34 H.X7 13.31 6.93 13.27 6. 98 16 16 14.26 7.26 14. 22 7.33 14.19 7.39 14. 1(1 7.45 16 17 15.15 7.72 15.11 7.78 15.08 7.85 15.04 7.92 17 18 16.04 8.17 16.00 8.24 15.97 8.31 15. 9;< 8.38 18 19 16.93 8.63 16.89 8.70 16.85 8.77 16. 81 8.85 19 20 17.82 9.08 17.78 9.16 17.74 9.23 17.70 9.31 20 21 18.71 9.53 18.67 9. 62 18.63 9.70 IS. f,X 9.78 21 22 19.60 9.99 19. of! 10.07 19.51 10.16 19.47 Kt.24 22 23 20.49 10. 44 20.45 10.53 20.40 10. (12 20.35 10.71 23 24 21.38 10.90 21.34 10.99 21.29 11.08 21.24 11.17 21 25 22.28 11. 35 22.23 11.45 22.18 11.54 22.12 11. (14 25 26 23.17 11.80 23.11 11.90 28.06 12. 01 23.01 12.11 26 27 24. OH 12,26 24.00 12.36 23.95 12.47 23.89 12.57 27 28 24.95 12.71 24.89 12. 82 24.84 12.93 24. 7.s Ki.lll 28 29 25.84 13. 17 25.78 13.28 25.72 13.39 26.66 13.50 29 30 211. 7.; 13. 62 26.67 13.74 26.61 13.85 26.55 13.97 30 31 27.62 14.07 27.56 14.19 27.50 14.31 27.43 14.43 81 32 28.51 14.53 28.45 14.H.J 2x. :is L4.78 14.90 33 29.40 14.98 29.34 15.11 29.27 15.24 29.20 :<:{ 34 30.29 1.-,. 11 30.23 15.57 30. 16 15. 70 .m (>9 154 35 31.19 15.89 31.12 16.03 31.05 16.16 30.97 L6.30 35 M 32.08 32.00 16.48 31.83 16.69 31.86 1(1.7(1 86 37 16.80 32.89 Lfl.94 L7.08 32.74 17.23 37 38 33.86 17.25 33.78 17.40 33.71 17.55 33.63 L7.69 39 34.75 17.71 34.67 IX. ()| :u..r>l IS. 1(1 89 40 35.64 18.16 35.56 18.31 35.48 Lft 17 3ft. !(i L8.62 40 41 36.53 18.61 36.45 18.77 36.37 18.93 10.09 41 42 37.42 If. 07 19.23 37. 25 19.39 37. 17 19.66 42 4:< 88.31 19.52 38.23 19.69 38.14 19.86 38.06 20. 02 44 :',<.». 20 19.98 39.12 20.15 39.03 20.32 38.94 20.49 41 45 40.10 20.43 40.01 20.60 39.92 20.78 20. 9.-, 46 4(1 40.90 20.88 40. X9 21.06 •HI. M) 21.24 40.71 21. 12 47 41.88 21.34 41.78 21.52 41.69 21.70 41.59 48 42.77 21.79 42.67 21.98 42.58 22. 16 42. 4s 22.35 48 49 43.66 22.25 43.56 43.46 •2-1. W 22.82 49 /if) 44. 55 22.70 44.45 22.89 44.35 23.09 44.25 23.28 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. g 1 03°. 62^°- 62tf". I run i i. rnvM i;si: TAKI.K. 27°. Z7K*. 27K'. 27%°. I ICT 1 Lat. Dep. Lat. Dep. Lat. Dep. Dep. 1 51 45.44 23.15 23.35 45.24 23.55 46.11 23.75 51 46.33 23.61 23.81 46.12 24.01 24.21 52 53 47.22 -47. r_> 24.27 47.01 84.47 46.90 24.68 53 48.11 24.52 48.01 24.73 47.90 47.79 25.14 :>\ 55 49.01 24.97 •IS. '.«) 25.40 48.67 55 56 49.90 49.78 25.64 2S.86 49.56 26.07 56 57 26.10 50. 56 26.32 50.44 57 58 26.56 51.45 •_v, :s 51.33 27.01 58 59 52.57 •jr.. 7-1 27.01 52.33 27.24 52.21 27. 47 59 GO 53. 4G 27.47 53.22 27.70 53.10 27.94 60 i.I 54.35 27.69 27.93 54.11 28.17 53.98 28.41 61 28.15 55.12 •_>s. :v. 54.99 28.63 54.87 28.87 62 28. CO 56. 01 28.85 55.88 29.09 55.75 29.33 63 04 29.08 56.90 29.30 56.77 29.55 56.64 29.80 64 65 29.51 57.79 •-••I. 7i> 57.66 30.01 57.52 80.26 65 66 58.54 30.48 58.41 30.73 66 59.56 89.68 59.43 30.94 59.29 31.20 67 68 60.45 31.14 60.32 31.40 60.18 31.66 68 69 61.34 31.59 61.20 31.86 61.06 32. 13 69 70 62.23 32.05 62.09 32.32 61.96 32.59 70 71 32.23 63.12 32.51 «;•_•. '.'s 32.78 62.83 33.06 71 :•-' 32.69 64.01 32.97 63.86 33.25 63.72 33.52 72 7;? 33.14 64.90 33.42 64.75 33.71 64.60 33.99 73 74 Go. 93 33.60 33.88 65.64 34.17 IV,. 4'J 34.46 74 7.-. 34.05 34.34 66.53 34.63 66.37 34.92 75 7C. 67.72 34.50 G7.57 34. so 67.41 35.09 67.26 35.39 76 77 34.96 35.26 68.30 35.55 f,s. It 35.85 77 7S 69.50 35.41 35.71 69.19 36.02 69.03 78 79 70.39 35.87 7i). •-':< 36.17 70.07 36.48 69.91 36.78 79 80 71.28 36.32 71. rj 36.63 70.96 86.94 7( i.so 37.25 80 81 71 17 36.77 72.01 87.00 71.85 37.40 71.68 37.71 n 82 73. !Ni 37.23 72.90 37.55 72.73 87.86 72.57 38.18 83 38.00 88. -M 73.45 38.65 84 us. 4,i 74.51 88. 7'.» 74.34 :i(.i. 1 1 84 85 75.57 38.92 75. 40 39.25 :','.. :-s 85 86 39.38 76.28 89.71 7f.. 1 1 86 87 39.50 77.34 89.84 77.17 40.17 7''.. W 40.51 87 88 78,41 78.23 78.06 40.63 77.88 40.97 88 89 79.30 79.12 40.75 78.94 41.10 41.44 89 90 SO. 19 80.01 41.21 79.83 41.91 90 91 81.08 4L81 BUM 80.72 42.02 88.63 92 •11 .77 81.60 42.48 si. }_' 93 s_>. -1'.» 43.30 93 94 83.57 48.04 M. :ix 48.40 83.19 95 84.40 48.60 84.27 43.87 84.07 44.23 95 96 85.54 s.-,. r> 43*96 85.15 44.33 84.96 44.70 96 97 86.43 86.23 41. 11 86.04 44.79 88.84 45.16 97 98 87.32 44.49 44.87 V,. '.»:? 45.25 86.73 45.63 08 99 88.21 88.01 45.33 87.81 45.71 87. "1 46.10 99 100 89.10 45.40 NX. <*) 45.79 88.70 46.17 88.50 46.56 100 | Dep. Lat. Dep. L;it. Dep. Lat. 1»,T. Lat. § 8 63V 62K«. 62K". I 63 TABLE 4.— TRAVERSE TABLE. 0 28°. w. •r. 2854°. u ra' 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 0.88 0.47 0.88 0.47 0.88 0.48 0.88 0.48 1 2 1.77 0.94 1.7(1 0.95 1.76 0.95 1.75 0.96 2 3 2.65 1.41 2.64 1.42 2.64 1.43 2.63 1.44 3 4 3.53 1 . NS 3. 52 1.89 3.52 1.91 3.51 1.92 4 5 4.41 2.35 4.40 2.37 4.39 2. 3!l 4.38 2.40 5 6 5.30 2.82 5.29 2.84 5.27 2,86 5.26 2.89 6 7 6.18 3.29 (1.17 3.31 6.15 3.34 6.14 3.37 7 8 7.0(1 3. 7(1 7.05 3.79 7.03 3.82 7.01 3.85 8 9 7.95 4.23 7.93 4.26 7.91 4.29 7.89 4.33 9 10 8.83 4.69 8.81 4.73 8.79 4.77 8.77 4.81 10 11 9.71 5.16 9.69 5.21 9.67 5.25 9.64 5.29 11 12 5.63 10.57 5.68 10.55 5.73 10.52 5.77 12 13 1L48 6.10 11.45 6. 15 11.42 6. 20 11.40 (1. 2.-> 13 14 12.36 6.57 12.33 6.63 12.30 6.68 12.27 (1.73 14 15 13.24 7.04 13.21 7.10 13. IS 7.16 13.15 7.21 15 16 14.13 7.51 14.09 7. .17 14.06 7. (13 14.03 7.70 16 17 15.01 7.98 14.98 8.05 14.94 8.11 14.90 8.18 17 18 15.89 8.45 15.86 8.52 L5.82 8.59 15.78 8.66 18 19 16.78 8.92 16.74 8.99 16. 70 9.07 16. (id 9.14 19 20 17.66 9.39 17.62 9.47 17.58 9.54 17.53 9.62 20 21 18.54 9.86 18.50 9.94 18. 46 10.02 18.41 10.10 21 22 19.42 10,33 19.38 10.41 19. 33 10. 50 19.29 10.58 22 23 20.31 10.80 20.26 10.89 20.21 10.97 20. 1C. 11. 00 23 24 21.19 11.27 21.14 11.36 21.09 11.45 21.04 11.54 21 25 22. (17 11.74 22.02 11.83 21.97 11.93 21.92 12. 02 25 26 22.% 12.21 22.90 12.31 22.85 12. 41 '2-2. 71) 12.61 2(1 27 23.84 12.68 23.78 12.78 23.73 12.88 23.67 12. }« 27 28 24.72 13.15 24.66 13.25 24.61 13.36 24.55 13.47 28 29 26.61 13.61 25.55 13.73 25.49 13.84 25.43 13.95 29 30 2d. 49 14.08 26.43 14.20 2(1.3(1 14.31 2(1.30 14.43 30 31 27.37 14.55 27.31 14.67 27.24 14.79 27.18 14.91 31 32 2S.25 15.02 28.19 15. 15 28.12 15.27 28.06 15.39 32 33 29.14 15.49 29.07 15.62 29.00 15.75 28.93 15.87 33 34 30.02 15.96 29.95 1(1.01) 29.88 1(1. •_>•_' 29.81 16.35 34 35 30.90 16.43 30.83 16.57 30.70 1(1.70 30.1,'.) L6.83 35 36 31 . 79 16.90 31.71 17.04 31.114 17. is 31.56 17. 32 86 37 82.67 17.37 32.59 17.51 32. 52 i7.(ir> 32. 4-1 17.80 37 38 83.66 17.84 33.47 17.99 33.40 18.13 33. 32 L8.28 38 39 34.43 18.31 34.35 18. 40 34. 27 18.61 34.19 IS. 7(1 39 40 35.32 18.78 35.24 18.93 35. 15 19.09 35.07 19.24 40 41 36.20 19.25 86.12 19.41 36.03 19.56 35.95 19.72 41 42 37.08 19.72 37. 00 19.88 3(1. '.11 20.04 36.82 20.20 42 43 37.97 20.19 37. ss 20.35 37.79 20.62 87.70 20.68 43 44 3X. Kf, 20.66 38.76 20.83 20.99 21.1(1 44 16 39.73 21.13 21.30 39.55 21.47 39.45 21.64 45 40 40.62 21.60 •10. .-.2 21.77 40. 43 21.95 40.33 22. 13 4(1 47 41.50 22.07 41.40 22.25 41.30 2-2.43 41.21 22.61 47 48 42.38 22.53 2J.72 42.18 22.90 42.08 23. 09 48 40 43.26 23.00 43^16 23.19 43. (Mi 23.38 42.96 23.67 49 50 44.15 23.47 44.04 23.67 43.94 23.68 24.05 50 | Dep. Lat. Dep. Lat. I).-,.. Lat. Dep. Lat. 1 1 62°. W fil«°. oi^°. 5 64 TABLE 4.-TK\\ liKM! T \1ILK. I 2S8. 28K°. 28^°. 28f*°. o 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. i 51 45.08 23.94 44,90 8*14 44.82 24.34 44.71 24.53 51 15.91 M.41 45.81 •-M.i.l 45.70 24.81 45.59 25.01 52 53 46.80 46.09 25.09 46.58 25.29 •l(i. 47 25.49 53 54 47.68 47.57 25.50 47.41, 25.77 47. 34 25.97 54 55 48.56 48.45 48.33 28,24 48.22 26.45 55 |6 49.33 26.51 49.21 49.10 36.94 89 57 50.34 50.21 26.98 50.09 27.20 49.97 27.42 57 58 51.21 27.23 51.09 27.45 50.97 27. €8 50.85 27.90 58 59 52. m 27.70 51.97 51.85 28.15 51.73 28.38 59 00 52. '.IX 28.17 52.85 28.40 52.73 28.63 52.60 28.86 60 Gl 53.88 28.64 53. 73 28.87 53.61 29.11 53.48 29.34 61 29.11 29.35 54.49 29.58 54. 3(i 29.82 55.63 29.58 55.50 29.82 55.37 30.06 55.23 80.30 63 56.51 56.38 ML 29 56.24 30.54 56.11 30.78 64 57.39 30.52 57. 2ii 30.77 57.12 31.02 56.99 31.20 65 66 58.27 30.99 58.14 31.24 58.00 31.49 57. 86 8L75 66 31.45 59.02 31.71 58.88 31.97 58.74 32.23 67 68 60.04 31.92 59.90 32.19 59.76 32.45 59. 62 32.71 68 69 32.39 60.78 32. CO f,o. »;.} 32.92 60.49 33.19 69 7(1 61.81 32.80 61.60 33.13 61.52 33.40 61.37 33.67 70 71 62.69 33.33 62.54 33.61 8140 33.88 62.25 34.15 71 63.57 33.80 63. 42 34.08 63.27 34.36 63.12 72 7°, 64. 4ii 34.27 64.31 34.55 64.15 34.83 64.00 35.11 73 71 65.34 34.74 65.19 35.03 65.03 35.31 64.88 35.59 74 75 35.21 66.07 35.50 65.91 35.79 65.75 36.07 75 67.10 35.68 66.95 35.97 66.79 36.20 66.63 36.50 76 07.99 67.83 :;•;. 4.1 67.67 36. 74 67.51 37.04 77 7s i,v 87 68.71 36.92 68.55 37.22 68.38 37.52 78 79 69.75 37.09 69.59 37.39 69.43 37.70 69.26 38.00 79 80 70.64 37.56 70.47 37.87 70.31 38.17 70.14 38.48 80 81 71.52 38.03 71.35 38.34 71.18 38.65 71.01 38.96 81 82 38.50 72.23 38.81 72.00 39.13 71.89 39.44 82 83 :;s. <.»7 73.11 39.29 72.94 39.60 72.77 39.92 83 84 74.17 73.99 39.76 73.82 40.08 73.65 40.40 84 39.91 74.88 40.23 74.70 40.56 74.52 40.88 85 40.71 75.58 41.04 75.40 41.37 86 40.84 76.64 41.18 76.46 41.51 76.28 41.85 87 77.34 41.99 77.15 88 78.58 78.40 42. 13 42. 17 78.03 42.81 89 io 79.47 42.25 79.28 79.09 42.94 78.91 43. •-".» 90 in 42.72 80. 16 43.07 79.97 43.42 79.78 91 92 43. l'.» 81.04 43.55 80.85 43.90 80.60 44.25 92 93 SJ. 1 I M.'.rj 44.02 44.38 81.54 93 94 83.90 44.13 82.80 45.21 94 95 |3 ^ 44.60 83.68 44.97 83.49 45. £* 83.29 95 96 81.57 45.44 84.37 45.81 84.17 06 97 45.91 85.25 97 98 46.91 83.92 i 99 87.21 87.00 86.80 99 100 •ON. -".» 46.95 83.99 87.88 48.10 100 § Lat. Dep. Dep. Lat. !><>;>. Lat. | 2 41479—10 5 65 TABLE 4. -TRAVERSE TABLE. b 29°. 29^°. 29H°. 29%°. G ET m cf- I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. p 1 0.87 0.48 0.87 0.49 0.87 0.49 0.87 0.50 1 2 1.75 0.97 1.74 0.98 1.74 0.98 1.74 0.99 2 3 2.62 1.45 2.62 1.47 2.61 1.48 2.60 1.49 3 4 3.50 1.94 3.49 1.95 3.48 1.97 3.47 1.98 4 5 4.37 2.42 •1.30 2.44 4.35 2.46 4.34 2.48 5 6 5.25 2.91 5.23 2.93 5.22 2.95 5.21 2.98 6 7 6.12 3.39 6.11 3.42 6.09 3.45 6.08 3.47 7 8 7.00 3.88 6.98 3.91 6.96 3.94 6.95 3.97 8 9 7.87 4.36 7.85 4.40 7.83 4.43 7.81 4.47 9 10 8.75 4.85 8.72 4.89 8.70 4.92 8.68 4.96 10 11 9.62 5.33 9.60 5.37 9.57 5.42 9.55 5.46 11 12 10.50 5.82 10.47 5.86 10.44 5.91 10.42 5.95 12 18 11.37 6.30 11.34 6.35 11.31 6.40 11.29 6. 45 13 14 12. 21 6.79 12.21 6.84 12.18 6.89 12.15 6.95 14 15 13. 12 7.27 13.09 7.33 13.06 7.39 13.02 7.44 15 16 13.99 7.76 13.96 7.82 13. 93 7.88 13.89 7. 94 16 17 14.87 8.24 14.83 8.31 14.80 8.37 14.76 8.44 17 18 15.74 8.73 15.70 8.80 15. €7 8.86 15.63 8.93 18 19 16.62 9.21 16.58 9.28 16.54 9.36 16.50 9.43 19 20 17.49 9.70 17.45 9.77 17.41 9.85 17.36 9.92 20 21 18.37 10.18 18.32 10.26 18.28 10.34 18.23 10.42 21 22 19.24 10.67 19.19 10.75 19.15 10.83 19.10 10.92 22 23 2(U2 11.15 20.07 11.24 20.02 11.33 19.97 11.41 23 24 20.99 11.64 20.94 11.73 20.89 11.82 20.84 11.91 24 25 21.87 12.12 21.81 12.22 21.76 12.31 21.70 12.41 25 26 22.74 12.61 22.68 12.70 22. (B 12.80 22.57 12.90 26 27 23.61 13.09 23.56 13.19 23.50 13.30 23. 44 13. 40 27 28 24. 49 13.57 24.43 13.68 24. 37 13.79 24.31 13. 89 28 29 25. 3G 14.06 25.30 14.17 25.24 14.28 25.18 14.39 29 30 26.24 14.54 2( ;. 17 14.66 26.11 14.77 26.05 14.89 30 31 27.11 15.03 27.05 15.15 26.98 15. 27 26.91 15.38 31 32 27.99 15.51 27.92 15.64 27.85 15.76 27.78 15.88 32 33 28.86 16.00 28.79 IB. 12 28.72 16.25 28.65 16.38 33 w 99.74 1<>. 48 29.66 16. m 29.59 16.74 29.52 16. 87 34 n 30. 61 16.97 30.54 17.10 30.46 17.23 30.39 17.37 36 31.49 17.45 31.41 17.59 31.33 17.73 31.26 17.86 37 32. 30 17.94 32.28 18.08 32.20 18. 22 32.12 18. 36 37 38 33.24 18.42 33. 15 18.57 :«. 07 18.71 32.99 18.86 88 39 34.11 18.91 34.03 1'.). (Mi 3::. 94 19.20 33.86 19.35 39 40 31.98 19.39 34.90 19.54 34.81 19.70 34.73 19.85 40 41 35.86 19.88 35.77 20.03 35.68 20.19 35.60 20.31 41 42 3ii. 7:5 20.36 36.64 20.52 36. 55 20.68 36. 46 20.84 42 43 37.61 20.85 37.52 21.01 37.43 21.17 37.33 21.34 43 44 38.48 21.33 38.39 21.50 38.30 21.67 3S. 20 21.83 44 45 21.82 39.26 21.99 3 23.94 42. 05 24.13 •12.51 24.31 50 43.73 24.34 43.62 24.43 43.52 24.62 43.41 24.81 50 i Dep. Lat. Dep. Lat. Dep. L:vt. Dep. Lat. i 61°. 6-»v. 00^*. 60>i°. « GO TABLK 4.~TKV\K!{XK TABLK. 1 9*. 29>i*. 29H'. 29*'. 0 Dep. Lat. I).-,.- Lat. Dep. Lat. Dep. 1 51 44.50 44.39 25.11 41. Js 25.31 51 26.41 45.26 25.01 45.15 25.80 52 53 46.35 25.90 46.13 20.10 46.01 26.30 53 54 47.11 26.39 47.00 20.59 46.88 26.80 64 65 47.99 20.87 47.87 27.08 47.75 27.29 55 56 27.15 48.86 27.30 48.74 27.58 48.63 27.79 56 57 27. 63 49.73 27.85 4'J. 01 28.07 4'J. -I'.) 28.28 57 58 50.73 28.12 50.00 28.34 50.48 28.56 50.36 28.78 58 59 51. (X) 28.60 51.48 28.83 51.35 29.05 51.22 2!». ->s 59 GO 29.09 52.35 29.32 52.22 29.55 52.09 29.77 00 53.35 29.57 53.22 29.81 53.09 30.04 52.96 30.27 r,l 30.06 54.09 30.29 53.96 30.53 53.83 30.77 62 03 30.54 54.97 30.78 31.02 54.70 31.26 03 55.98 31.03 55.84 31.27 55.70 31.52 31.70 (4 65 31.51 50.71 31.70 50.57 32.01 66.43 32.25 65 66 3-2.00 57.58 32.25 57.44 32.50 57.30 32.75 66 m 58.46 32.74 58.31 32.99 68.17 33.25 67 68 32. 97 .V.i. 33 33.23 59.18 33.48 59.04 33.74 08 60 60.35 33.45 60.20 33.71 60.05 33.98 69.91 •4.14 69 70 33.94 01.07 34.20 00.92 34.47 60.77 34.74 70 71 62.10 34.42 61.95 34.69 61.80 34.96 61.64 35.23 71 n 34.91 02. 82 35.18 (,_M,: 35.45 02.51 3.-I. 7:5 72 73 35.39 63.69 35.67 63. 54 35.95 03. 3X 30. 22 73 74 64.72 35.88 64.56 30.10 84.41 30. 44 64.25 36.72 74 30.30 65.44 30.65 65.28 30. 93 05.11 37.22 75 76 66.47 30.85 60.31 37.14 00. 15 37.42 37. 71 76 77 i,7. :r, 37.33 (,7.1s 37. t -2 67.02 37.92 3K.21 77 78 68.22 68.05 3S.11 67.89 38,41 • 7. 72 38.70 78 79 69.09 38.30 0& w 38.90 f*. 59 39.20 79 80 69.97 38.78 tt.80 39.09 69.63 39.39 09. 4- i 39.70 80 H 70.84 39.27 70. 07 39.58 70.50 39.89 70.32 40.19 81 82 39.75 71.54 40.07 40.38 71.19 40.69 82 S3 40.24 72.42 40.56 72.24 40.87 72.06 41.19 83 84 4H.72 73.29 41.01 73.11 41.30 41.G8 84 85 tt.a 74.16 41.53 73.98 41.86 73.80 85 H 75.22 75.03 74.85 42. :<:, 74.67 H 87 76.09 42.18 42.84 75.53 48.17 87 88 43.00 43.33 7«i. !() 43.67 88 • 77. <;:, 43.49 77.46 4:5. >:', 77.27 44.16 89 00 78.72 43.63 78,52 43.98 44.32 7s. 1| 90 91 79.59 44.12 79.40 44.46 79.20 44.81 tf 92 80.47 80.27 44.95 so. 07 4:,. : 82. vt 17.11 95 96 M «.*•, 47. 27 96 97 84.84 47.03 B4.68 •17.77 84.98 97 • 85.71 85.50 85. os 98 99 86.59 -;s INI M;. B8 85. '.•:. 99 100 s7. 4.1 -is. 4s S7. •.'.-, 48.86 87.04 49.24 fea 49.62 100 | Dep. Lilt. Dep. Lat. Dep. Dep. I.nt. § Q 61*. «/>«,•- &OH-. 60H*. Q G7 TABLE 4.— TBATERSE TABLE. 0 30°. 30J4°. 30H°. 30*4°. g P Lat. Dep. Lat. Dep. L;U. Dep. Lnt. Dep. 1 1 0.87 0.50 0,86 0.50 0.86 0.51 0.86 0.51 1 2 1.73 1.00 1.73 1.01 1.72 1.02 1.72 1.02 2 3 2. CO 1.50 2.59 1.51 2.58 1.52 2.58 1.53 3 4 3.46 2.00 3.40 2.02 3.45 2.03 3.44 2.05 4 5 4.33 2.50 4.32 2.52 -1.31 2.54 4.30 2.56 1 6 5.20 3.00 5.18 3. 02 5.17 3. 05 5.16 3.07 6 7 6.06 3.50 6.05 3.53 6.03 3. 55 6. 02 3. 58 7 8 6.93 4.00 6.91 4.03 6.89 4.06 6.88 4.09 8 9 7.79 4.50 7.77 4.53 7.75 4.57 7.73 4.60 9 10 8.66 5.00 8.64 5.04 8.62 5.08 8.59 5.11 10 11 9.53 5.50 9.50 5.54 9.48 5.58 9.45 5.62 11 12 10.39 6.00 10. 37 6.05 10. 34 6.0!) 10.31 6.14 12 13 11.26 6.50 11.23 6.55 11.20 6. 60 11.17 6. 65 13 14 12.12 7.00 12.09 7.05 12. 06 7.11 12. 03 7.16 14 15 12.99 7.50 12. 96 7.56 12. 92 7.61 12. 89 7.67 15 16 13. 8(i 8.00 13. 82 S. Ofi 13. 79 8. 12 13.75 8.18 16 17 14.72 8.50 11.69 8.56 14. 65 8.63 14.61 8.69 17 18 15.59 9.00 15.55 9.07 15.51 9.14 i:.. \': 9.20 18 19 16. 45 9.50 16.41 9.57 16. 37 9. ti4 16.33 9.71 19 20 17.32 10.00 17.28 10.08 17.23 10. 15 17. 10 10. 23 20 21 18.19 10.50 18.14 10. 58 18.09 10. 66 18. 05 10.74 21 22 19. a5 11.00 19.00 11.08 18.96 11.17 18.91 1L» 22 23 19.92 11.50 19.87 11.59 19.82 11. 67 19. 77 11.76 23 24 20.78 12.00 20. 73 12.09 20. 68 12. IS 21). 63 12. 27 24 25 21. in 12.50 2i.no 12.59 21.54 12.69 21.49 12. 78 25 26 22. 52 13.00 22.4(1 i:>. 10 22.40 13.20 22. 3 I 13. 29 26 27 23.38 13. 50 23. 32 13. 60 '23. 26 13.70 23.20 13.80 27 28 24.25 14.00 24.19 14.11 24. 13 14. 2J 24.06 14. 32 n 29 25.11 14.50 25.05 14.61 24.99 11.72 24. 92 14.83 29 30 25.98 15.00 25.92 15.11 25.85 (6.23 25.78 15.34 30 31 26.85 15.50 26. 78 15. 62 26.71 15.73 2(i. r-4 15.85 31 32 27.71 1C.. 00 27.64 16. 12 27.57 1C.. 24 27.50 16. 36 32 33 28.58 16. 50 •Jv :> 1 16. 62 28.43 16. 7.-, 2s.:j.i 16.87 33 34 29.44 17.00 29.37 17. 13 29. 30 17. 26 :»l. 22 17.38 34 35 30.31 17.50 30.23 17.63 30. in 17. 76 30. OS 17.90 35 36 31. is 18.00 31.10 18.14 31.02 18.27 30.94 IN. 11 36 37 32.04 IS. 50 31.96 18.64 31.88 18.78 31.80 Is. 112 37 38 32. 91 19.00 32. SI 19.14 32. 7 l 19.29 32.66 19. 43 :;s 39 ai.77 19.50 ai. 69 in. 65 33. 60 19.79 33. 52 19.94 :;'.i 40 34.64 20.00 34.55 20.15 20.30 34.38 20.45 M 41 35.51 20.50 35.42 20.65 3.K 33 20.81 86.94 20.96 41 42 21.00 36. 28 21.16 21.32 36. 10 21.47 42 43 37.24 21.50 37.14 21.6(1 37.05 21.82 86,96 21.99 a 44 38.11 22.00 38.01 '_'_'. 17 37.91 •22. :',3 37. SI 22.50 44 45 38.97 22.50 38.87 22. 07 38.77 22. st 38. 67 28.01 16 39.84 23. («) :<<). 7 i 23. 17 23.52 M 47 40.70 23.50 40. CO 23. <<8 40.50 24.08 47 48 24.00 41.46 •Jl. is 41.36 24.36 -1 1 . •.>:> 24.54 -)_'. 1 » 42. 33 42. 1 1 25. 05 •!'.) 50 43.30 25.00 43.19 25.19 43.08 -12. "7 25.56 50 0 Dep. Lat. Dep. Lat. Dop. Lat. Dep. Lat. r. S Q T \IJI.i: I. -TH \VKKSE TABLE. 1 30°. w. me. | I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 44.17 25.50 44.06 25.69 43.94 25.88 43.83 26. Os 51 52 45.03 26.00 44.92 44.80 26.39 44.69 52 53 45.90 26.50 45.78 26.70 45.67 26.90 45. 55 27! 10 53 54 46.77 27.00 46. 65 27.20 46.53 27.41 46. 41 27.61 54 47.63 27.50 47.51 27.71 47.39 27.91 47.27 28.12 55 56 48.50 28.00 48.37 28.21 4S. 2.1 28.42 48.13 28.63 56 57 49.36 Js. .10 49.24 Js. 72 49.11 2s. <»3 •is. w 29.14 57 58 50.23 29.00 50.10 29.22 49.97 29.44 29.65 58 59 51.10 2'.'. .Ml 50.97 29.72 50.84 J'.i. -.14 5 79 39.50 68.24 30. si) 68.07 40.10 40.39 79 BO 69.28 40.00 69.11 40.30 68.93 40.60 68.75 40.90 80 81 70. I.', 40. 50 69.97 40.81 69. 79 41.11 69. 61 41.41 81 71.01 41.00 70.83 41.31 70. 65 41.62 70.47 41. 93 n 71.88 41.50 71.70 11. s| 71.52 42.13 71.33 42. 1 1 si 42.00 72.56 42. 32 72.38 42. r.3 72. 19 42. '.'.1 84 73.61 42. .Ml 73. 43 42. »2 73.24 43. 14 73.0.1 43. If, 85 86 71. is 43.00 74.29 43. 32 71. HI 73. '.U 86 87 75.15 74.96 41. If, 74.77 87 88 76.21 44.00 70.02 44. 33 44.66 7.1. r.:i 44.99 88 77. IN 14.50 4 l.sl 7f>. IN 1.1. 1 7 76.49 4.Y .11 89 90 45.00 77.75 45.34 77.55 45.68 77.35 46.02 90 91 78.81 1.1. .Ml 78.61 45.84 78.41 If,. 1't 78.21 46.53 91 92 46.00 79.47 79.27 46n 08 79.07 47.04 92 jr.. .M) SO. 13 79.92 93 M M. 11 47.00 81.20 47.71 so. 7s 48.00 94 M 82.00 81.64 95 sj. ••:{ .SJ. 72 86 07 97 H sl.s; si. II .Ml. 1 1 98 99 85.08 99 100 50.00 Mi. :cs g&M 100 § I.at. Dep. I >!•[). Lat. Dep. Lat. | 60*. .Vi' .," * TABLE 4. -TRAVERSE TABLE. 0 £ 31°. 31^°. 3W. wr. g " i Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 i 0.86 0.52 0.85 0.52 0.85 0.52 0.85 0.53 1 2 1.71 1.03 1.71 1.04 1.71 1.04 1.70 1.05 2 3 2.57 1.55 2. .56 1.56 2.56 1.57 2.55 1.58 3 4 3.43 2.06 3.42 2.08 3.41 2.09 3.40 2.10 4 5 4.29 2.58 4.27 2.59 4. 20 2.61 4.25 2. 03 5 6 5.14 3.09 5.13 3.11 5.12 3.13 5.10 3.10 • 6 7 6.00 3.61 5.98 3. (53 5.97 3. 00 5.95 3.08 7 8 6.86 4.12 6.84 4.15 6.82 4.18 6.80 4.21 8 9 7.71 4. 04 7.69 4.07 7.67 4.70 7.65 4.74 9 10 8.57 5.15 8.55 5.19 8.53 5.22 8.50 5.20 10 11 9.43 5.67 9.40 5.71 9.38 5.75 9.35 5.79 11 12 10.29 6.18 10. 26 6.23 10.23 6.27 10.20 6.31 12 13 11.14 6.70 11.11 6.74 11.08 6.79 11.05 6.84 13 14 12.00 7.21 11.97 7.20 11.94 7.31 11.90 7.37 14 15 12.86 7.73 12.82 7.78 12.79 7.84 12. 76 7. X',) I.', 10 13.71 8.24 13.08 8.30 13.64 8.36 13.01 S. -12 16 17 14.57 8.76 14.53 8.82 14.49 8.88 14.40 8.95 17 18 15.43 9.27 15.39 9.34 15.35 9.40 15.31 9.47 18 19 16.29 9.79 16.24 9.86 16.30 9.93 10.10 10.00 1!) 20 17.14 10.30 17.10 10.38 17.05 10.45 17.01 10.52 20 21 18.00 10.82 17.95 10.89 17.91 10.97 17.86 11.05 21 22 18.86 11.33 18.81 11.41 18.76 11.49 18.71 1 1 . 5s 22 23 19.71 11.85 19. GO 11.93 19. 61 12.02 19.56 12.10 23 24 20.57 12. 36 20.52 12.45 20.46 12.54 20.41 12.63 21 25 21.43 12.88 21.37 12.97 21.32 13.06 21.26 13. Hi 26 26 22.29 13. 39 22.23 13.49 22.17 13.58 22.11 13. 08 20 27 23.14 13.91 23.08 14.01 23.02 14.11 22.96 14.21 27 28 24.00 14.42 23.94 14.53 23.87 14.03 23.81 11.73 28 29 24. 80 14.94 24.79 15.04 24.73 1 :,. 1 :, 24.66 L5.26 30 25.72 15.45 25.65 15.56 25.58 15. 67 25.51 15.79 30 31 26.57 15.97 26.50 16.08 26.43 16.20 26. 36 16.31 Ml 32 27.43 16.48 27. 30 16.60 27.28 16. 72 27.21 16,84 82 33 28.29 17.00 28.21 17.12 28.14 17.24 28.06 17.37 33 34 29.14 17.51 29.07 17. 04 28.99 17.70 28.91 17.89 :; } 35 30.00 18.03 29.92 18.16 29.84 18.29 29.76 IS. 12 35 30 80.86 18.54 30. 78 18.68 30.70 18.81 30. 61 IS.'.)} 36 37 31.72 19.06 31.63 19.19 31.55 19.33 31. 46 19.47 37 38 32.57 19.57 32.49 19.71 32.40 19.85 32.31 20.00 38 39 33. 43 20.09 33.34 20.23 33.25 20.38 33.10 20.52 39 40 34.29 20.60 34.20 20.75 34.11 20.90 34.01 21.05 40 41 35.14 21.12 35.05 21 27 34. 96 21.42 34.86 21.57 41 42 30.00 21.63 85.01 21.79 35.81 21.94 35.71 22.10 42 43 80.86 22.15 86.76 22.31 36.66 22.47 36.57 22. i :; 43 44 37.72 22. 00 87.62 22.83 37.52 22.99 37.42 23.15 44 45 .'{x. 57 28.18 38.47 23.34 38.37 23.51 38.27 45 4(1 39.43 3!) .'{3 23.86 3!). 22 24.03 39.12 24.21 47 40.29 24.21 40!l8 24.38 40.07 39.97 24.73 47 48 41.14 24. 72 41.0} 24.90 40.93 25!o8 40.82 25.28 48 49 42.00 25.24 41.89 25. 12 11.78 25. 60 41.07 25.78 l'» 50 42.86 25.75 42.75 25.94 42.63 26.12 26.31 50 03 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I •I q 59°. •ST. 58^'. 58^°. I 70 TABLE 4. -TRAVERSE TABLE. 0 31°. 31#e. 31H° 0 1 • Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 43.72 26.27 43.60 26.46 43.48 26.65 43.37 26.84 51 52 44.57 26.78 44.46 2U. ys 44. 34 27.17 44.22 27.36 52 53 45.43 27.30 45.31 27. -4'.' 45.19 27.69 45.07 27.89 53 54 46.29 27.81 46.17 28.01 46.04 28.21 45.92 28.42 54 55 47.14 28.33 47.02 28.53 46.90 28.74 46.77 28.94 55 56 48.00 28.84 47.88 29.05 47.75 29.26 47.62 29.47 56 57 48.86 29.36 48.73 29.57 48.60 29.78 48.47 29.99 57 58 49.72 29.87 •I't .">s 30.09 49.45 .SO. .HO 49.32 30.52 58 59 50.57 30.39 50.44 80.61 50.31 30.83 50.17 31.05 59 60 51. 43 30.90 51.29 31.13 51. Hi 31.35 51.02 31.57 60 61 52.29 31.42 52.15 31.65 52.01 31.87 51.87 32.10 61 89 53.14 31.93 53.00 32. 16 52.86 32.39 52.72 82.63 62 54.00 32.45 53. Mi 32.68 53. 72 32.92 53.57 33.15 63 84 54.86 32.96 54.71 33.20 54.57 33.44 54.42 33.68 64 60 55.72 33.48 55.57 33. 72 55.42 33.96 55.27 34.20 65 56.57 33.99 56. -1-' 34.24 56.27 34.48 56.12 34.73 66 C-7 57.43 34.51 57.28 34. 76 57.13 35.01 56.98 35.26 67 68 -.s. •_».» 35.02 58.13 35.28 57. OS 35.53 57.82 35.78 68 88 59.14 35.54 58.99 35.80 58.83 36.05 58.67 36.31 69 70 60.00 36.05 59.84 36.31 59.68 36.57 59.52 36.83 70 71 6*86 36.57 60.70 36.83 60.54 37.10 60.38 37.36 71 72 1,1. 7_' 37.08 61.55 37.35 61.39 37.62 61.23 37.89 72 7:< 62. 57 37. GO 62.41 37.87 62.24 38.14 62.08 38.41 73 71 63.43 3*. 1 1 63.26 38.39 63.10 38.66 62.93 38.94 74 75 64.29 38. 03 64.12 38.91 63.95 39.19 63.78 39.47 75 76 65.14 :;;). i i 64.97 39 43 64.80 39.71 64.63 39.99 7(> 77 66.00 65.83 39! 95 65.65 40. 23 65.48 40.52 77 78 68.86 40.17 66.68 40.46 66.51 40.75 66.33 41.04 78 78 C,7. 72 40.06 67.54 40.98 67. 36 41.28 67.18 41.57 79 80 68.57 41.20 68.39 41.50 68.21 41.80 68.03 42.10 80 81 41.72 69.25 42.02 69.06 42.32 68.88 42.62 81 B2 70.29 42.23 70.10 42.54 69. 92 42.84 69.73 43.15 82 83 71.11 42.75 70.% 43.00 70.77 43.37 70.58 43.68 83 -1 72.00 43.26 71.81 43.58 71.62 43.89 71.43 44.20 84 43.78 72. 67 44.10 72.47 II. 11 72.28 44. 7:] 85 44.29 73.52 44.61 73.33 44.93 73.13 45.25 86 74.57 II. si 74.38 45.13 74.18 45. 46 73.98 45.78 87 88 75. 43 75. •_«:< 45.65 75.03 45.98 74.83 46.31 88 89 15.84 76.00 46.17 75.88 46.50 76.68 89 90 77.15 76.94 76.74 47.02 76.53 90 91 78.00 ic,. s: 77.SH 47.21 77.59 47.55 77.38 91 78.86 78.65 47.73 78.44 48.07 78.23 48.41 92 03 7 47.90 79.51 •is. _'.-, 79.30 48.59 79.08 48.94 93 80.57 48.76 80.15 49.11 79.93 49.47 94 48.93 s 1 . •_"_' •in. '.'s 81.00 49.64 .so. 7s 95 '.Hi VJ. -".1 49.44 82.07 40,80 81.85 81.63 50.52 96 83.15 50.32' 50.68 S_>. IS 97 98 84.00 :»o. 17 83.78 50.84 61.20 88.33 51.57 98 50.99 84.64 51.36 84.41 51.73 st. is 99 100 51.50 85.49 51.88 85.26 85.04 100 1 Dep. Dep. Lat. Dep. Lat. Dep. Lat. i 1 59°. 58*'. •ar. Mr. i c 71 TABLE 4.— TRAVERSE TABLE. 0 5T 32°. 32^°. 32HC. me. b V sr i P p Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 8 i 0.85 0.53 0.85 0.53 0.84 0.54 0.84 0.54 i 2 1.70 1.06 1.69 1.07 1.69 1.07 1.08 1.08 2 3 2.54 1..VI 2.54 1.60 2.53 1.01 2.52 1.62 3 4 3.39 2.12 3.38 2.13 3.37 2.15 3.30 2.10 4 5 4. 24 2.65 4.23 2.67 4.22 2.69 4.21 2.70 5 6 5.09 3.18 5.07 3.20 5.06 3.22 5.05 3.25 6 7 5.94 3.71 5.92 3.74 5.90 3.76 5.89 3.79 7 8 G.78 4.24 6.77 4.27 6.75 4.30 6.73 4.33 8 9 ?.(.{ 4.77 7.61 4.80 7.59 4.84 7.57 4.87 9 10 8.48 5.30 8.46 5.34 8.43 5.37 8.41 5.41 10 11 9.33 5.83 9.30 5.87 9.28 5.91 9.25 5.95 11 12 10.18 6.36 10.15 6.40 10.12 6.45 10.09 6.49 12 13 11.02 6.89 10.99 6.94 10.96 6.98 10. 93 7.03 13 14 11.87 7.42 11.84 7.47 11.81 7.52 11.77 7. 57 14 15 12.72 7.95 12.69 8.00 12.65 8.06 12.62 8.11 15 16 13.57 8.48 13.53 8.54 13. 49 8.60 13.46 8. CO 16 17 14.42 9.01 14.38 9.07 14.34 9.13 14.30 9.20 17 18 15.26 9.54 15.22 9.61 15.18 9.07 15.14 9.74 18 19 16.11 10.07 16.07 10.14 16. 02 10.21 15.98 10.28 19 20 16.96 10.60 16.91 10.67 16.87 10.75 16.82 10.82 20 21 17.81 11.13 17.76 11.21 17.71 11.28 17. 66 11.30 21 22 18. 66 11.66 18.61 11.74 18.55 11.82 18.50 11.90 22 23 19.51 12.19 19.45 12.27 19.40 12.36 19.34 12.44 23 24 20.35 12.72 20.30 12.81 20.24 12.00 20.18 12.98 24 25 21.20 13.25 21.14 13.34 21.08 18.43 21.03 13.52 25 20 22.05 13.78 21.99 13.87 21.93 13. 97 21.87 14.07 26 27 22.90 14.31 22.83 14.41 22.77 14.51 22.71 14.61 27 28 23.75 14.84 23.68 14.94 23. 61 15.04 23.55 15.15 28 29 24.59 15.37 24.53 15.47 24.46 15. 58 24.39 L&69 29 30 25.44 15.90 25.37 16.01 25.30 16.12 25.23 16.23 30 31 26.29 16.43 26.22 16.54 26.15 It. 66 26. 07 16.77 31 12 27.14 16.96 27.06 17.08 2H. «.i'.i 17. 19 20.91 17.31 32 33 27.99 17.49 27.91 17.61 27. ftt 17. 73 27.75 17.85 S3 .S4 28. ai 18.02 28.75 18.14 28.08 18.27 28.00 18.39 34 u 29.68 18.55 39.60 18. 68 2&52 18.81 29.44 18. 93 35 36 30.53 19.08 30.45 19.21 30. 30 19. 34 30.28 19.48 36 17 31.38 19.61 31.29 19.74 M.21 19.88 31.12 20. 02 :<: 38 32.23 20.14 32.14 20.28 32.05 •JO. 42 31.96 20.56 39 33.07 20.67 32.98 20.81 :v_>. s:» •jo. '.*:> 32.80 21.10 39 40 33.92 21.20 33.83 21.34 33.74 21.49 33.64 21.64 41) 41 34.77 21.73 34. 67 21.88 34.58 22. (fi 34. 48 22.18 11 42 35.62 B. 26 35.52 22.41 35. 42 22.57 35.32 22.72 42 43 36.47 22.79 :«••. :<7 2X96 30. '21 23.10 36. 16 23.26 43 41 37.31 23.32 37.21 •_•:{. is 37.11 23.64 37. 01 23.80 44 45 38.16 24.01 37.95 24.18 37. S.-, 24.34 45 4i°. 5 72 TABLE 4.-TUAVKKSK TABLE. 0 32°. 32^'. 32*'. | 1 Lat. Dep. Lat. Dep. Lit. Dep. Lat. Dep. I .-,1 43.25 27.03 43.13 27.21 43.01 27.40 42.89 27.59 51 44.10 27.56 43.98 27.75 43.86 27.94 52 53 28.09 •JN. ;N 44.70 28.48 44.58 53 54 45.79 45.54 29.01 29.21 54 29.15 41 1. :>2 29.35 46.39 29.55 29.75 55 47.49 29. i N •17.:;'. ':!"• NS 47.23 30.08 47.10 30.29 56 57 48.34 30.21 48.21 48.07 30. 63 47.94 30.84 57 58 49.19 30.74 49.05 30!05 48.92 .31.10 48.78 58 59 50.03 31.27 49.90 31.48 49.76 31.70 49. 02 31.92 59 GO 31.80 50.74 32.02 50.60 50.46 32.46 GO Gl 32.33 51.59 32.55 51.45 32.78 51.30 33.00 61 32.85 :..'. 1 1 33.08 52.29 33.31 52.14 33.54 62 63 33.38 53.28 33.62 53.13 33.85 B.99 34.08 63 64 33.91 54.13 34.15 53.98 34.39 53.83 34. 02 64 65 34.44 54.97 34.68 34.92 54.07 35. 16 65 M 55.97 34.97 55.82 35.22 35. 46 55.51 35.70 66 67 35.50 56.66 35.75 56.51 36.00 56.35 36. 25 67 G8 36.03 57.51 36.29 57.35 36.54 57.19 36. 79 68 58.52 36.56 58.36 36.82 58.19 37.07 58.03 37. 33 69 70 59.36 37.09 59.20 37.35 59.04 37.61 58.87 37.87 70 71 MUSI 37.62 60.05 37.89 59. 88 38.15 59.71 38.41 71 72 61.06 38.15 60.89 38.42 00.72 38. 09 00. o."i 38.95 72 73 61.91 61.74 38.95 61.57 39.22 61.40 39 49 73 74 62.58 39.49 62.41 39. 70 62.24 40.03 74 75 B.6Q 63.43 IM.II.' 63.25 40.30 63.08 40.57 75 N ti 1. '..'N 40. 55 64.10 40.83 63.92 41.11 76 77 40. SO 65! 12 41.09 04. 94 41.37 64.76 41.66 77 7> or.. 1:1 41.33 65.97 65.78 41. '.11 65.60 42.20 78 79 66.63 42.45 00. 44 42.74 79 80 42. .39 42.69 67.47 42.98 67.28 43.28 80 81 68.50 i.;. •:? 68.31 68 12 43.82 81 82 69.54 43. 4.") 69.35 43.76 44.00 68^97 44.36 82 B.M 70.20 70.00 41.1!) 69.81 44.90 83 84 71.-J1 44. 51 71.04 45. 13 70. 05 45.44 84 85 45.04 71.49 45.98 85 86 72.58 1-2. :« 46. 52 M 87 Si.. ID 73.58 40. 42 73.38 4ti! 7.') 78.17 47.06 87 4(1. Ul 74. 42 74.22 47.28 74.01 47.61 88 7.V IN 75.27 75.00 17. 83 48.15 S'( 90 47.69 48.03 75.91 48.30 75. ti9 48.69 90 '..1 77.17 48.22 Tfcflfl 48.56 7G.75 48.89 76. 53 49.23 91 H 48.75 77.81 49.08 77.59 49.77 92 93 1'.. -'N 49.(i3 7v 11 50.31 93 94 79. 72 79.50 .-,0. ir, 79.28 50.51 50.85 94 95 80. 34 51.04 95 96 M. 41 51. a 96 97 SJ 01 51.76 97 98 83.11 61.93 52. 06 53.02 98 99 B3.06 ;,j. i». 83.50 53.19 99 100 84.80 52.99 84.57 53.36 84,34 53.73 84.10 54.10 100 8 Dep. Lat. Dep. Lit. Dep. Lat. Dep. Lat. 8 § § P 5S°. 57*-. 67H'. 57*'. G 73 TABLE 4.- TRAVERSE TABLE. G P as°. 33>r. 33^0. 33%°. d I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 1 0.84 0.54 0.84 0.55 0.83 0.55 0.83 0.56 i 2 1.68 1.09 1.67 1.10 1.67 1.10 1.66 1.11 2 3 2.52 1.63 2.51 1.64 2.50 1.06 2.49 1.67 3 4 3.35 2.18 3.35 2.19 3.34 2.21 3.33 2.22 4 5 4.19 2.72 4.18 2.74 4.17 2.76 4.10 2.78 5 6 5.03 3.27 5.02 3.29 5.00 3.31 4.99 3.33 6 7 5.87 3.81 5.85 3.84 5.84 3.86 5.82 3.89 7 8 G.71 4.36 6.69 4.39 6. 07 4.42 6.65 4.44 8 9 7.55 4.90 7.53 4.93 7.50 4.97 7.48 5.00 8 10 8.39 5.45 8.36 5.48 8.34 5.52 8.31 5.56 10 11 9.23 5.99 9.20 6.03* 9.17 6.07 9.15 6.11 11 12 10. 06 6.54 10.04 6.58 10.01 6.62 9.98 6.67 12 13 10.90 7.08 10.87 7.13 10.84 7.18 10.81 7.22 13 14 11.74 7. 02 11.71 7.68 11.07 7. 73 11.64 7.78 14 15 12. 58 8.17 12.54 8.22 12.51 8.28 12.47 8.33 15 lf> 13.42 8.71 13.38 8.77 13. 34 8.83 13. 30 8.89 it; 17 14.20 9.26 14.22 9.32 14.18 9.38 14.13 9.44 17 18 15.10 9.80 15.05 9.87 15.01 9.93 14.97 10.00 18 19 15. 93 10.35 15.89 10.42 15.84 10.49 15.80 10.56 19 20 16.77 10.89 16.73 10.97 16.68 11.04 16.63 11.11 20 21 17.61 11.44 17.56 11.51 17.51 11.59 17.46 ] 1 . C.7 21 22 18.45 11.98 18.40 12.06 18.35 12.14 18.29 12.22 22 23 19.29 12.53 19. 23 12.61 19.18 12. 69 19.12 12.78 23 24 20.13 13.07 20.07 13.10 20.01 13.26 19.% 13.83 LM 25 20.97 13. 02 20.91 13.71 20.85 13.80 20.79 13.69 25 20 21.81 14.16 21.74 14. 20 21.08 14.35 21;62 14.44 86 27 22.64 14.71 22.58 14.80 22. 51 14.90 22.45 15.00 27 28 23.48 15. 25 23.42 15.35 23.35 15.45 23. 28 15. 50 28 29 24.32 15.79 24. 25 15.90 24.18 16.01 24.11 Hi. 11 29 30 25.16 16.34 25.09 16. 45 25.02 16.56 24.94 16.67 30 31 26.00 16.88 25.92 17.00 25.85 17.11 2.-.. 7S 17.22 31 32 20. 84 17.43 20. 70 17.55 20. 08 17.00 20.1,1 17.78 83 :;:, 27. rs 17.97 27. fO 18.09 27.52 18.21 27. -14 18.33 83 34 28.51 18. 52 28.43 18,64 28. 35 18.77 28.27 18.89 :54 35 29.35 19. 00 29.27 19.19 29.19 19.32 2?). 10 in. 11 85 86 30.19 19.61 30. 1 1 19.74 » 30.02 19.87 29. 93 20.00 86 37 31.03 20.15 30.94 20.29 30. So 20.42 30. 7(1 20.56 :^7 88 31.87 20.70 31.78 20.84 31.69 20.97 31.60 21.11 38 n 32.71 21.24 32. 02 21.38 3'2. 52 21.63 32. 43 21.07 39 40 33.55 21.79 33.45 21.93 33. 36 22.08 33.26 22.22 40 41 34.39 22.33 34.29 22.48 34.19 22. 63 34.09 22.78 41 42 35.22 22.87 38.12 23.03 35. 02 23.18 34.92 23.33 42 43 36.06 23.42 35.96 23.58 35.86 35. 7.-> •23. S9 43 44 36. 90 28.96 36. 80 24.12 no. r,!i 24.29 36. .58 24.45 44 45 37.74 24.51 37. m 24. 07 37. 52 24.84 37.42 25.00 45 M 38. 58 25.05 38.47 25.22 38. 30 25. 39 38. 25 25. 5Ti 46 47 :<'.». !_' 26.60 39.31 25. 77 89.19 25.94 39.08 26. 1 1 47 48 40.26 2'l. ! 1 40.14 26. 32 40.03 20. 49 39.91 26.67 48 49 •_'•;. ( (i 40.98 20. 87 40. SO 27.04 40.74 27.22 49 60 27.23 41.81 27.41 41.69 27. 00 -1 1 . .',7 27.78 50 1 D«p. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 1 57°. 56^°. 56^°. 56^". 5 74 TABLE 4.-TRAVERSK TABLE. 0 f 33°. d t ' ' ' £ 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 42.77 27.78 42.65 27.96 42.53 28.15 42.40 28.33 51 52 43. (.1 -N. 32 43.40 28.51 43.36 28.70 43.24 28.89 52 53 28.87 44.32 29.06 44.20 29.25 44.07 29.45 53 45.29 29.41 45.16 29.61 45.03 20.80 44.90 30.00 54 41 ;. 13 20.06 46.00 30.16 45.86 30.36 45.73 30.56 55 30.50 4(>. S3 30.70 46.70 30.91 46.56 31.11 56 17.80 31.04 47. (17 31.25 47.53 31.46 47.39 31. (17 57 31.59 48.50 31.80 48.37 32.01 48.23 32.22 58 59 49.48 49.34 32.35 49.20 32.56 49.06 32. 78 59 60 50.32 32.68 50.18 32.90 50.03 33.12 49.89 33! 33 60 1,1 si.if, 33.22 51.01 33.45 50.87 33.67 50.72 33.89 61 82 52.00 :\\.ll 51.85 33.99 51.70 34.22 51.55 34.45 62 .V_>. v I 34.31 52.69 34.54 52.53 34.77 52.38 35.00 63 (I 34.86 53.52 35.09 53.37 35.32 53.21 35.56 64 54.51 35.40 54.36 35. 64 54.20 35.88 54.05 36.11 65 55. 35 35. 95 55.19 36.19 55.04 36.43 54.88 36.67 66 56.19 36. 'r.» 56.03 36.74 36.98 55.71 37.22 87 'S 57.03 37. 04 56. K7 37.28 56^70 37.53 56.54 37.78 68 80 57.87 37.58 57.70 37.83 57.54 38.08 57.37 38.33 69 70 58.71 38.12 58.54 38.38 58.37 38.64 58.20 38.89 70 71 59.55 38. 67 59.38 38.93 59.21 39.19 59.03 39.45 71 72 60.38 39.21 60.21 39.48 60.04 39.74 59.87 40.00 72 73 61; 22 39.76 61.05 40.03 60.87 40.29 60.70 40.56 73 71 t ;:'.(••*; 40.30 40.57 61.71 40.84 61.53 41.11 74 62.90 40.85 62. 72 41.12 62.54 41.40 62.36 41.67 75 n 63.74 41.39 tu{ :,<\ 41.67 63.38 41.95 63.19 42.22 76 11 64.58 41.94 ML SO 42.22 64.21 42.50 64.02 42.78 77 7s 05. 42 42.48 .,-,. -3 42.77 65.04 43.05 64.85 43.33 78 7'" 43.03 66.07 43.32 65.88 43,60 65.69 43.89 79 80 67.09 43.57 66.90 43.86 66.71 44.15 66.52 44.45 80 SI 67. 93 44.12 44.41 67.54 44.71 67.35 45.00 81 tiK. 77 44.66 68.58 44.96 68.38 45.26 68.18 45.56 82 45.21 (,'.'. il 45.51 69.21 45.81 69.01 l< . n 83 84 7n. l"> 45. 75 70.25 46.06 70.05 4!) 71.08 46.60 70.88 46.91 70. 67 47.22 85 72.13 71.92 47. 16 71.71 47.47 17.78 86 K7 78.06 47.38 72.76 47.70 48.02 48.33 87 73. Ml 73. 59 48. 25 48.57 73.17 48.89 88 80 74.64 48.47 74.43 48.80 74.22 49.12 74.00 89 90 75.48 I'.UU 75.27 49.35 75.05 49. 67 74.83 50.00 90 91 76. 32 7f>. 10 49.89 75.88 50.23 75.66 91 77.16 50. 1 1 50.78 76.50 61.11 92 88 78.00 80.68 77r77 80.00 •LSI 61.07 93 94 7s i | 78.16 94 51 . 74 BBLOO 79. M 95 86 80.21 52.64 82.90 7'.". sj 96 87 81.12 53.18 88.80 53.89 97 98 BL08 81.72 54.09 54.45 08 99 ,v;; n;; 82.79 8128 54. 64 55.00 99 100 83!.87 83.63 54.83 83.39 55.19 83.15 55.56 100 Dep. Lat. Dep. Lat. Dep. l.ut. Dep. Lat. I 0 «%•. me. mr. 5 75 TABLE 4.— TRAVERSE TABLE. 0 34°. 34M°- 34^°. 3434-. U i£ H 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I i 0.83 0.56 0.83 0.56 0.82 0.57 0.82 0.57 i 2 1.G6 1.12 1.65 1.13 1.65 1.13 1.64 1.14 2 3 2.49 1.68 2.48 1.69 2.47 1.70 2.46 1.71 3 4 3.32 2.24 3.31 2.25 3.30 2.27 3.29 2.28 4 5 4.15 2.80 4.13 2.81 4.12 2.83 4.11 2.85 5 6 4.97 3.36 4.96 3.38 4.94 3.40 4.93 3.42 fi 7 3.91 5.79 3.94 5.77 3.96 5.75 3. '.)'.) 7 8 6. 03 4.47 6.61 4.50 6.59 4.53 6.57 4.56 8 9 7. 46 5.03 7.44 5.07 7.42 5.10 7.39 5.13 9 10 8.29 5.59 8.27 5.63 8.24 5.66 8.22 5.70 10 11 9.12 6.15 9.09 6.19 9.07 6.23 9.04 6.27 11 12 9.95 6.71 9.92 6.75 9.89 6.80 9. S«i 6.84 12 13 10. 78 7.27 10.75 7.32 10. 71 7.36 10.68 7.41 13 14 1 1 . lil 7.83 11.57 7.88 11.54 7.93 11.50 7.98 14 15 12.44 8.39 12.40 8.44 12.36 8.50 12.32 S. 55 15 If. 13. 26 8.95 . 13.23 9.00 13.19 9.06 13. 15 9.12 16 17 14.09 9.51 14.05 9.57 14.01 9.63 13.97 o. <;<> 17 18 14.92 10.07 14.88 10.13 14.83 10.20 14.79 10.26 18 19 15.75 10.62 15.71 10.69 15.66 10. 76 15.61 10.83 19 20 16.58 11.18 16.53 11.26 16.48 11.33 16.43 11.40 20 21 17.41 11.74 17.36 11.82 17.31 11.89 17.25 11.97 21 22 18.24 12. 30 18.18 12. 38 18. 13 11'. .1(1 18.08 IL'.'.I 22 23 19.07 12.86 19.01 12. 91 18.95 13. 03 18.90 13.11 23 21 19.90 13.42 19.84 13. 51 18.78 13. 59 19.72 13.6S 24 25 20.73 13. !>S 20. 66 14.07 20. (10 14.16 20.54 14. 25 26 20 21.65 14. .54 21.49 14.63 21.4:5 14.73 21.36 14.S2 26 27 22.38 15.10 22.32 15. 20 22. 25 15.29 22.18 16.39 27 28 23.21 15. 66 23.14 16.76 23.08 15.86 23.01 16.96 28 29 24.04 16.22 23.97 16.32 28.90 16.43 23! 83 16.53 20 30 24.87 16.78 24.80 16.88 24.72 16.99 24.66 17.10 80 ' 31 25. 70 17.33 25.62 17.45 25. 55 17.56 25. 47 17. 67 31 82 26. 53 17.89 26. 45 18.01 26.37 18.12 26. 29 18.24 32 33 27.36 18.45 27.28 18.57 27.20 18.69 27.11 18.81 33 34 28.19 19.01 28.10 19.14 2S.02 19.26 27.94 19.38 34 35 29.02 19.57 28. 93 19.70 28.84 19. 82 28. 76 19.95 86 86 29.85 20.13 29.76 20. 26 20.39 29.58 20.62 86 37 30. (17 20. r,n 30.58 20.82 3D. -10 20.96 30.40 21.09 37 as 31.. 50 21.25 31.41 21.88 31.32 21 . 52 31.22 21 . r,c, 38 39 32. 33 21.81 32. 24 21.95 32.14 22.09 32.04 22. 'J3 :;u 40 33.16 22.37 33.06 22.51 32.97 22.66 3L>. S7 22.80 40 41 33.99 22.93 33.89 23.08 33. 79 23.22 33. 69 23.37 41 42 34. 82 23.49 34.72 23.64 34. 61 23.79 84.61 28.94 42 4:i 24. 05 86.64 24.20 24. 36 35. 33 24. 51 43 44 38. is 24.60 3I1,. 37 24.76 86.26 24.92 86.16 •jr.. ox •!l 45 37. 31 25. Hi 37. 20 25. 33 37.09 25. 49 ««;. <»7 L'5. r,r, 48 as. i » 25. 72 87.91 26.05 37.80 26.22 46 47 26.28 26. 45 38.73 26.62 :K »;•_• 26.79 47 48 39. 79 2pp. Lat. Dep. Lat. Dep. Lat. | 2 0t, 66^°. 55H'. I 7G TABLE 4. -TRAVERSE TABLE. o 34°. 34tf°. 34^°- 34^'. B cr I Lat. Dep. Lat Dep. Lat. Dep. Lat. Dep. I 51 4J. '-'s 28.52 42.16 28.70 42.03 •_'s. vi 41.90 29.07 51 52 43.11 ROC 42.98 29.27 42.85 29.45 42.73 19.64 52 53 43.94 _>'.r.! 43.81 29.83 43.68 30.02 43.55 80.21 53 54 41.77 30.20 44. i 1 30.39 44.50 30.59 44.37 30.78 54 55 45. 60 30.76 30.95 45.33 31. 1.', 45.19 31.35 55 56 31.31 46.28 31.52 46. 15 31.72 46.01 31.92 56 57 31.87 47.12 32.08 46.98 32.29 46.83 32.49 57 58 48.08 47. 91 32.64 47. so :>•-'. s.-, 47. 66 33.06 58 59 48.91 32.99 48.77 a3.2l 48.62 33.42 48.48 33.63 59 GO 33.55 49. CO 33.77 49.45 33.98 49.30 34.20 60 n 50.57 34.11 50.42 34.33 50.27 34.55 50.12 34.77 61 62 51.40 34. 67 51.25 :;-». vi 51.10 35.12 50.94 35.34 62 63 35.23 52.08 35.46 51.92 35.68 51.76 35.91 63 53.06 35.79 52.90 36.02 52.74 36.25 52.59 36.48 64 65 53.73 36.58 53.57 36.82 53.41 37.05 65 06 36.91 54.55 37.15 54.39 37.38 54.23 37. f.2 55.55 37.47 55. 38 37.71 55.22 37. '.I.'. 65.05 38.19 67 56.37 38.03 56.21 38.27 56.04 38.52 55.87 38.76 68 09 57.20 38.58 57.03 38.83 56.86 09.00 56.69 39.33 69 70 58.03 39.14 57.86 39.40 57.69 39.65 57.52 39.90 70 71 39.70 5S.69 39.96 58.51 40.21 58.34 40.47 71 7'-' rtt r.'.» 40.26 59. 51 40.52 59.34 40.78 59.16 41.04 72 73 40.82 60.34 41.08 60.16 41.35 59.98 41.61 R 7t 01.16 41.38 61.17 41.65 60.99 41.91 60.80 42.18 71 75 41.94 61.99 42.21 61.81 42.48 61.62 42.75 75 63.01 42.50 (VJ. v_> 42.77 62.63 43.05 62. 4.-) 43.32 76 77 43.ee *;. «,-, 43.34 63.46 43.61 63.27 4:;. S'> 77 n 43.62 64.47 43.90 64.28 44.18 o4.09 44. 4t) 78 79 65.49 14.18 65.30 44.46 t\T>. 1 1 44.75 64.91 45. 03 79 SO 44.74 66.13 45.02 65.93 45.31 65.73 45.60 80 81 07.16 45.29 Of. IS 45.59 66.75 45.88 66.55 46.17 81 82 67.98 45.85 67.78 46. 15 67.58 46.45 67.38 4C,. 74 82 83 40.41 68.61 46.71 (Vs. 41) 47.01 68.20 47.31 83 M 46.97 69.43 47.28 •MI. -> ; 47.58 00.02 47. ss 84 85 70.47 47.53 70.-J.', 47.84 70.05 48.14 69.84 48.45 85 86 71.10 4S.09 71.09 48.40 70.87 48.71 70.66 49.02 87 48.65 71.91 48,96 71.70 71.48 49.59 87 88 72. 96 49.21 72.74 49.53 72.52 49.84 72.30 60.16 88 89 49.77 73. 57 10.08 73.35 50.41 73.13 50.73 89 90 74. ill 50.33 74.39 50.65 74.17 50.98 73.95 51.30 90 '.H 75.44 50.89 51.22 75.00 ;,i.-, i 71.77 51.87 91 51.45 51.78 75.82 52.11 75.59 52.44 92 77.10 82.00 7K s7 :,-.'. :« i 7' '..'.I :,•_«. «.x 53.01 93 94 -,-j. 60 77.70 52.90 77.47 A.<. 1? \ 94 95 53.12 78.53 53.47 13.81 78.06 54.15 95 00 ;a. .;N 7'i. U 54.03 79.12 54.37 78,88 54.72 96 117 80.18 54.59 79.94 54.94 79.70 55.29 97 98 01.01 55.15 Bo.76 55.51 80.63 65.86 98 82.07 55.72 81.8) 81.34 99 100 55.92 82.66 56.28 82.41 Oft* 82.16 57.00 100 | Dep. Lat. IV,,. Lat. Dep. Lat. Dep. Lat. I P 56*. 555T- 55H°. 56H°- fl 1 0 77 TABLE 4. -TRAVERSE TABLE. d £ 35°. 35J40. aswp. 35^°. b I I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ^ 1 0.82 0.57 0.82 0.58 0.81 0.58 0.81 0.58 1 2 1.04 1.15 1.63 1.15 1.63 1.16 L62 1.17 2 3 2.46 1.72 2.45 1.73 2.44 1.74 •2. 4:5 1.75 3 4 3.28 2.29 3.27 2.81 3. 2C. •_'..;_• 3.25 2.34 4 5 4.10 2.87 4.08 2.89 4.07 2.90 4.06 •J. 92 5 6 4.91 3.44 4.90 3. 4ti 4.88 3.4X 4.87 3.51 0 7 5.73 4.02 5.72 4.04 5.70 4. or, 5.68 4.09 7 8 G.55 4.59 6.53 4. (12 0. 51 4.65 (i. 4't 4. (17 S D 7.37 5.16 7.35 5.19 7.33 5.23 7.30 5. 2t> 9 10 8.19 5.74 8.17 5.77 8.14 5.81 8.12 5.84 10 11 9.01 6.31 8.98 6.35 8.96 6.39 8.93 6.43 11 12 9.83 6.88 9.80 6.93 9.77 6.97 9.74 7.01 12 II 10.65 7.4(1 10. 62 7.50 10.58 7.55 10.55 7.60 13 It 11.47 8.03 11.43 8.08 11.40 8.13 IL38 8.18 14 15 12.29 8.60 12.25 8.66 12.21 8.71 12. 17 «. 7(1 15 16 13.11 9.18 13.07 '.». 23 13.03 '.». 29 12.9!) 9.35 Hi 17 13.93 9.75 13.88 9.81 13. 84 9.87 13.80 9.93 17 18 14.74 10. 32 14.70 10. 39 14. C>5 10.45 14.61 10.52 is 19 15. 56 10.90 15.52 10.97 15.47 11.03 15.42 11.10 19 20 Hi. 38 11.47 16.33 11.54 16.28 11.61 1(1.2:5 11.68 20 21 17.20 12.05 17.15 12.12 17.10 12.19, 17.04 12.27 21 22 18.02 12.02 17.97 12.70 17.91 17.85 12.85 •_'_' 23 18.84 13.19 18.78 13. 27 18.72 13.36 18. 67 1.1.41 28 2\ 19.66 13. 77 19.60 13.85 19.54 13.94 19.48 14.02 24 25 20. 4 s 14.34 20.42 14.43 20.35 14.52 20.29 ll.i.l M M _' !.:;<> 14.91 21.23 15.01 21. .7 15.10 21.10 i:,. i'i m 27 22.12 15.49 22.05 15.58 21.98 15. 68 2L9I i:,. 77 :>7 28 22. 94 10.06 22. S 7 Hi. 1C. 22.80 1(1. 26 22. 72 16.36 29 •>:\. 7(\ 16.63 23.68 16.74 23.61 16.84 23.64 L6.94 30 24.57 17.21 •24. 50 17.31 M.43 17.42 24. 35 17.53 30 31 25.39 17.78 25.32 17.89 25.24 18.00 25.16 18.11 ::i 32 •Jii.21 18, M 26. 13 18.47 26.05 18.58 •_':.. !<7 18.70 33 27.03 is. 93 26.95 19.05 26.87 19.16 19.38 34 27.85 19.50 27.77 19.62 •27. US 19.74 27.59 L9.86 M :;:, 28.58 20. 20 2S. 1'.) 28.41 20. 45 M -.». 4'.) 20.65 29.40 20.78 29.31 90.91 29.22 21. (M M :57 :{().:u 21.2-2 30.22 21.35 30. 12 21.49 30,03 21.63 :57 38 31. 13 21. s() 31.03 21.93 liO.'.ll 22.07 22.20 39 31.95 •22. 37 31.85 31.75 •22. (..-, 81.66 22. 79 40 32.77 22.94 83.67 23.09 32.56 23.23 82.46 23. :57 40 41 33. 59 23.52 :«. 4s 23. c.r, 33. : 35.01 24.97 34,80 25. i _' 43 44 86.04 35.93 25.39 35. S2 25.55 25.71 U 86.86 25.81 25.97 2(1. 13 .'5(1. 52 26.29 •1.-, M 87.68 26.38 37.57 37.45 2H.71 .'57. 33 26.88 4(1 47 88. M 38.26 27. 29 3S. I » 47 48 3-.». :<2 •21. 53 3'.i. -20 27.70 39.08 27.87 48 49 40.14 28.11 40.02 2S. 2S 28.45 39. 77 49 50 40.96 28.68 40.83 28.86 40.71 2; MM 40.58 29.21 50 1 Dep. Lat. Dep. Lut. Dep. Lat. Dep. Lat. i Q 55°. 54jf. 54H°. 54^°. 0 78 TABLE 4.— TRAVKKSK TABLE. g 35°. 35tf°. 35H°. «*« 0 JJ- K 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 51 41.78 29.25 41.65 29.43 41.52 29.62 41.39 29.80 51 52 42.60 29.83 4.'. 17 30.01 42.33 30.20 42.20 30.38 52 53 43.42 30.40 43.28 60.50 48*16 30.78 43.01 30.97 53 54 44.23 30.97 44.10 31.17 43.96 31.30 43.82 31.55 54 55 45.06 31.55 44.93 31.74 44.78 31.94 44.64 32.13 66 66 45.87 32. 12 45.73 32. :<2 45.59 32.52 45.45 32. 72 56 57 32.90 40. 40 33.10 33.30 57 68 47.. M 33.27 47.37 33.47 47.22 33.68 47.07 33.89 68 59 33. 84 48.18 34.05 48.03 34.20 47.88 34.47 59 00 49.15 34.41 49.00 34.63 48.85 34.84 48.69 35.05 GO 61 49.97 34.99 49.82 35.21 49. C6 35.42 49.51 35.64 61 62 50.79 35.56 60.63 35.78 50.48 36.00 50.32 36.22 62 63 51.01 61.45 30. 30 51.29 30.58 51.13 30. 81 88 52.43 36.71 5-'. L>7 30.94 52.10 37.10 51.94 37.39 64 63.24 37.28 53.08 37.51 37.75 52.75 37.98 65 66 64.06 37.86 53.90 38.09 53.73 38.33 53.56 88.66 66 54.71 38.67 54.55 38.91 54.38 39.14 m 55.70 39.00 55.53 39.25 55.36 39.49 55.19 39.73 68 69 39.58 66.35 39.82 56.17 40. 07 66.00 40.31 69 70 57.34 40.15 57.16 40.40 50.99 40.65 56.81 40.90 70 71 58.16 40.72 57.98 -lo. its 57.80 41.23 57.62 41.48 71 72 .r>v its 41.30 58.80 41.55 68.62 41.81 58.43 42.07 72 73 69. JO 41.87 59.61 42.13 59.43 42.39 59.24 42.65 73 74 60.68 42.44 60.43 42.71 60.24 42.97 60.06 43.23 74 75 61.44 43. 02 61.25 43.29 61.06 43.55 60.87 43.82 75 76 43.59 62.96 43.86 61.87 44.13 81.48 44.40 76 77 63. 07. 44.17 r.-j. x-s 44.44 62.69 44.71 02. 4'.) 44.99 77 7s r.:t. vi 44.74 63.70 45.02 63.60 45.29 63.30 45.57 78 79 64.71 45.31 64.61 45.59 64.83 45.88 64.11 4«;. ir, 79 Ml 65.53 45.89 65.33 46.17 65.13 46.46 64.93 46.74 80 81 66.35 66.15 46.75 r,:>. JM 47.04 65.74 47.32 81 82 r.7. i: 66.66 47.33 66.70 47.62 66.55 47.91 82 83 i'.7. W.i 47.61 67.78 47.90 67. 57 48.20 07. 30 48.49 83 US. XI 48.18 63.40 48.48 68.80 48.78 68.17 49.08 84 85 48.75 69.41 49.06 69.90 68.68 49.66 70.23 49. 63 70.11! 40.94 69.80 50.2.-) 80 71.27 49.60 71.05 50.21 70.83 50.52 50.83 87 88 60.47 71.86 50.79 7l.i 4 61.10 71.42 r.i.4i 88 89 51.05 73.68 51.37 51.68 72.23 89 90 73.72 73.50 51.94 73.27 73.04 52.58 90 91 74.54 52.20 74.31 52.52 7U>* 62.84 73.85 M 92 75.30 52.77 74.90 63.34 75.71 54.01 75.48 94 77.00 53.92 64. tt 70. 29 94 96 77.82 .-,». »'i 54.83 77.34 77.10 55.50 7s in 55.41 77.91 .>, m •J '•: 7!». 40 79. SI •>.Y 'is 78.97 78.72 :,», »-,7 97 OS ID. a 60.03 79. ft 56.91 79.53 87 2t, 98 99 81.10 80.86 67.14 sn tin 67.49 80.35 67 si B 100 SI . '.»•-' 81.66 as. 07 81.16 68.42 100 1 Dep. IM Dep. Lat. Dep. Lat. Dep. Lat § i 55'. 54*-. 54H'. 54H-. 5 79 TABLE 4. -TRAVERSE TABLE. 0 36°. 36M". 3c, V- 0 5T I ? 8 P Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 0.81 0.59 0.81 0.59 0.80 0.59 0.80 0.60 1 2 L.62 1. is 1.61 1.18 1.01 1.19 L.60 1.20 2 3 2.43 1.70 2.42 1.77 2.41 1.78 2.40 1.79 3 4 3.24 2.35 3.23 2.37 :;. 22 2.88 3.21 4 5 4.05 2*94 4.03 2.96 4. 02 2.97 4.01 2.99 5 6 4.85 3.53 4.84 3.55 4.82 3.57 4,81 :;. f.'.i 6 7 5.60 4.11 5.65 4.14 5.63 4.16 5.61 4.19 7 8 0.47 4.70 6.45 4.73 6.43 4.70 0.41 4. 7'.i 8 U 7.28 5. 2'.) 7.20 5.32 7.23 5.35 7.21 ;,. :;s 9 10 8.09 5. 88 8.00 5.91 8.04 5.95 8.01 10 11 8.90 0.47 8.87 6.50 8.84 6.54 8.81 6.58 11 12 9.71 7.05 9.68 7.10 9.65 7.14 9.62 7.18 12 13 10.52 7. 04 10. 48 7.69 10. 45 7.73 10.42 7.78 13 14 11.83 8.23 11.29 8.28 11.25 S. 33 11.22 14 15 12.14 8.82 12. 10 8.87 12.00 8.92 12.02 v. '.17 15 10 I'.'. '.M 9.40 12.90 9.46 12.86 9.52 12.S2 9.57 16 17 13. 75 9.99 13. 71 10.05 13. 07 10.11 13.62 10.17 17 18 14.50 10.58 14.52 10. (M 14.47 10.71 14.42 10.77 is 19 15.37 11. ir 15.32 11.23 15.27 11.30 15.22 11.37 19 20 10.18 11.70 16.13 11.83 10.08 11.90 10.03 11.97 20 21 10.99 12.34 10. 94 12.42 16.88 12.49 10. 83 12. M 21 22 17. M) 12*93 17.74 13.01 17.68 13. 09 17.63 13.16 23 18.61 13.62 18.55 13.60 18.49 13.68 18.43 13.7(1 23 24 19.42 14.11 19.35 14.19 14.28 19.23 14.30 21 25 20.23 14,69 20:16 14.78 20. 10 1 1. S7 20.0:; 14.96 25 20 21.03 15.28 20.97 15.37 20.90 15. !7 20.83 27 21.84 15.87 21.77 15.97 21.7H ir,. or, 21.63 1&15 27 28 22.65 16.46 22.58 16.66 22.51 16.66 22.44 16.75 29 23. 40 17.05 23.89 17. IT) 23.31 17.2.-, 23.24 30 24.27 17.<>3 24. 19 17.74 24. 12 17.84 24.04 17.95 30 31 25.08 18,22 25.00 18.33 24. 92 1 3, 4 ! 24.84 18.55 31 32 18.81 25.81 18. 92 2:,. 72 19.03 25. til 1!'. !.- 33 •Ji-.. 70 19.40 26.61 19.51 26.53 1" 71 34 L'7.,-,1 L9.98 27.42 20. 10 27. 83 27.21 20.34 35 28.32 28.23 20.70 2s. i:i 20.82 28. 0-1 20.94 3.-> M 2!). 12 21. ill 29.03 21.29 21.41 21.:,! 311 37 21.75 2M..X4 21.88 22.111 •29.65 22. i : 38 30.74 30. c,4 22.47 30. .r>r> 22.60 30.45 22. 71 :'•> 32. 8.5 41 •12 24.84 25. 13 4M 25.27 84.45 a 44 35. 4t 21 ;. 17 44 a 20. (il :;•.. i, 2C-. 77 30.06 26.92 4t i 37. 10 27! 20 M 47 37.90 27.79 47 48 28.21 2V 72 3<).3!l 2!). 1.". 50 •jo. »:, 40.32 29.57 40. 1'.) 2'.i. 74 50 1 Dep. !>,>!>. Lat. S 54°. 53M°- £ SO TABLK 4.— TRAVERSE TABLE. I 36°. 36M°. 36^. 365*'. a 1 1 1 Lat. IH-p. Lat. Dep. Lat. Dep. Lat. Dep. I 51 41.26 •_">. !.S 41.13 30.16 41.00 30.34 40.86 30.51 51 41. 07 80.56 41. ill 30.75 41.80 30.93 41.07 31.11 52 i.'. 88 :•;!. i:. 4.'. 7 I 31.34 42. HI 31.53 42. 47 31.71 53 54 4:*. t '.'.» 31.74 43.55 31.93 43.41 32.12 43.27 32.31 54 55 44.21 32.72 44.07 32.91 55 50 45.30 32. 92 45. 16 .;.;. 1 1 45.02 33.31 44 87 33.51 56 57 46.11 33.50 4 "). 97 33. 70 45.82 33.90 45.67 34.10 57 58 40. 92 34.09 4«-. 77 34.30 46.62 34.50 46.47 34.70 58 59 47. 73 47.58 34.89 47.43 35.09 47.27 35.30 59 ID 48.54 35.27 48.39 3*. -IS 48.23 35.69 48.08 35.90 60 Gl 49.35 35.85 49.19 36.07 49.04 36.28 4*. SS 36.50 61 50.16 30. -14 50.00 36.66 49.84 36.88 49.68 37.10 62 50.97 60.81 37.25 .50. 04 37.47 50.48 37.69 63 61.78 37. f.2 61.61 37.84 51.45 38.07 51.28 38.29 64 65 52. 42 38.44 52. 25 38.66 52.08 3v Ni 65 (Mi 53.40 53. 23 80.09 53.05 39.26 52. ss 39.49 66 54.20 3d. 3s 64.03 30.62 53.86 39.85 53.68 40.09 67 68 55.01 39.97 54.84 40.21 54.66 40.45 54.49 40.69 68 •10. .r*; 65. i » 40.80 55. 47 41.04 55.29 41.28 69 70 56.63 41.14 50.45 41.39 56.27 41.64 56.09 41.88 70 71 57.44 41.73 57. 2f> 41.98 57.07 4'-'. 23 56.89 42.48 71 :_' 58.25 58.06 42.57 57.88 42. M 57.69 43. (IS 72 73 60.06 42.91 58.87 43. 17 58.68 43.42 58.49 43. r,s 73 74 59.87 43.50 59.68 4:?. 70 59.49 44.02 59.29 44.28 74 75 44.08 60.48 44.35 60.29 44.61 60.09 44.87 75 61.49 61.29 44.94 61.09 45.21 69.90 45.47 70 77 62.29 -}.",. 20 02. 10 45.53 61.90 45.80 61.70 46.07 77 78 03. 10 62,90 40.12 62.70 46.40 62.50 46.67 78 7'.» 63.91 4ii. 1 1 63.71 40.71 63.50 46. 99 63.30 47.27 79 BO 64.72 64.52 47 30 64.31 47.59 64.10 47.87 80 81 65.53 17.61 65.32 47.90 65.11 48.18 64.90 48.46 81 82 48.20 (if,, 13 48.49 0.-,. !»•_> 48.78 65.70 49.06 82 83 87, i:. 48.79 49.08 i*.. 72 49.37 66.50 49.66 83 84 67.96 • 771 67. 52 49.97 67.31 60.96 M V, •9.96 r.n.26 68.33 50.56 68.11 50.86 85 86 50.85 69.13 51. 15 68.91 51.46 86 87 61.14 70.16 51.44 69.94 51.75 69.71 52.05 87 88 71.19 51.73 70.97 52.04 70.74 ;>•-•. 34 70.51 52. 0.-, 88 89 72.00 71.77 52.63 71.54 ;,-_•. «.M 71.31 58.15 89 90 52.90 72.58 53.22 72.35 53.53 72.11 53.85 90 91 53.49 73.39 53.81 73. 15 54. 13 72.91 54.45 91 54.40 54.72 73.72 55.05 92 n 75.00 54.99 74. 70 55.32 74. 52 55.64 93 94 55.58 75.56 55.91 75.32 94 95 55.84 711.1 1 50. 17 70. 37 56.51 76.12 50.84 95 oo 50.43 77.17 57.10 76.92 57.44 % 97 78.47 77.97 57.70 77 72 5S.04 97 to 79,03 57.95 78.78 78.52 58.64 98 68.19 79.84 .Vs. 54 79.58 5X. V) 79.32 59.23 99 100 80.90 58. 7x BOJ I 60.13 80.39 59. 4S 80.13 59.83 100 I Hep. Dep. Lat. Dep. Lat. Dep. I.:it. 1 P 54". 5W 53H*. 1 41479—10 6 TABLE 4.— TRAVEUSK TABLE. a w" 37°. 37M°. 37H°. 37%°. 0 er 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 ! 0.80 0.60 0.80 0.61 0.79 0.61 0.79 0.61 i 2 1,80 1.20 1.59 1.21 1.59 1.22 1.58 1.22 2 3 2.40 1.81 2.39 1.82 2.38 1.83 2.37 1.84 3 4 3.19 2.41 3.18 2.42 3.17 2.44 3.16 2.45 4 5 3.99 3.01 3.98 3. 03 3.97 3.04 3.95 3,06 5 6 4.79 3.61 4.78 3. (« 4.76 3.65 4.74 3. 07 0 7 5.59 4.21 5.57 4.24 5.55 4.26 5.53 4. 2!) 7 8 0.39 4.81 6.37 4.84 6.35 4.87 0. 33 4. IK) S 9 7.19 5.42 7.16 5.45 7.14 5.48 7.12 5.51 9 10 7.99 6.02 7.96 6.05 7.93 6.09 7.91 0. 12 10 11 8.78 6. 02 8.76 6.66 8.73 6.70 8.70 6.73 11 12 9.58 7.22 9.55 7.26 9.52 7.31 9.49 7.35 12 13 10.38 7.82 10.35 7.87 10.31 7.91 10.28 7.90 13 14 11.18 8.43 11.14 8.47 11.11 8.52 11.07 8.57 14 15 11.98 9.03 11.94 9.08 11.90 9.13 11.80 9.18 15 • 10 12.78 9.03 12.74 9.68 12.69 9.74 12. 05 9.80 10 17 13.58 10.23 13. 53 10.29 13.49 10.35 13.44 10.41 17 18 14.38 10.83 14.33 10.90 14.28 10.96 14. 23 11.02 18 19 15.17 11.43 15.12 11.50 15.07 11.57 15. 02 11.03 19 20 15.97 12.04 15.92 12.11 15.87 12.18 15.81 12. 24 2U 21 10. 77 12.64 16.72 12.71 16.66 12.78 10.00 12.80 21 22 17.57 13.24 17.51 13.32 17.45 13.39 17.40 13.47 22 23 18.37 13.84 18.31 13.92 18.25 14.00 18.19 14.08 23 24 19.17 14.44 19.10 14.53 19. 04 11.01 18.98 14. 09 24 25 19.97 15.05 19.90 15.13 19.83 15.22 19.77 15.31 25 2(i 20.70 15.05 20.70 15.74 20. 03 15.83 20. 50 15.92 96 27 21. 50 10.25 21.49 10.34 21.42 Iti. 44 21. 35 10.53 27 28 22. 30 10.85 22.29 16.95 22.21 17.05 22.14 17.14 2s 29 L1:;. i<; 17.45 23.08 17.55 23.01 17.65 22. '.):; 17.7.r) 29 30 23.90 18.05 23.88 18.10 23.80 18.26 23.72 18.37 30 31 24.70 18.00 24.68 18.76 24.59 18.87 24. f)l 18.98 31 32 25.50 19.20 25.47 19.37 25.39 19.48 2.-I. .",() 19.59 33 33 20.35 L8.86 20. 27 19.97 20. 18 20.09 20. 09 20.21) 33 34 27.15 20. 40 27.00 20.58 26.97 20.70 20.88 20,82 34 35 27. 95 21. 00 27.86 21. 19 27.77 21.31 27. 07 21.43 35 30 28.75 21.17 28,66 21.79 28.56 21.02 2S. -1C, 22.01 30 37 29.55 22.27 29.45 22.40 29.35 22.52 29.26 37 38 30.35 22.87 30.25 23.00 30.15 23.13 30.05 23.26 38 39 31.15 23. 47 31.04 23.61 30. 94 23.74 30.84 2:5. ss 39 40 31.95 24.07 31.84 24.21 31.73 24.35 31.63 24.49 40 41 32.74 24. 07 32. 04 24.82 32.53 24*96 32.42 25. 10 41 42 33.54 25. 28 25.42 33.32 :'.-.. :.7 33. 21 25.71 42 43 34.34 25.88 34.23 21 i. 03 34.11 26. IN 34.00 20.33 43 44 35.14 20. 48 35.02 34.91 34.79 20. 94 •11 45 35.94 27.08 35.82 27.24 35.70 27.39 35.58 27. :,:, 45 40 30.74 27.68 30. 02 27.84 30. 49 28.00 36.37 28, 16 46 47 37.54 28.29 37.41 28.45 37.29 28.61 37.10 28.77 47 48 3v 33 2s. sy 38.21 29.05 38.08 29.22 37.95 29.39 48 49 39.13 29.49 39.00 29. GO 38.87 •J'.l. S3 38.74 30.00 49 50 39.93 30.09 39.80 30.26 39.67 30.44 39.53 30.61 50 | Dep. Lat. Dep. • Lat. Dep. Lat. Dep. Lat. t I c Tf I «•• 52V. 52^°. 52^°. o .2 1 82 TMll.K I. TKAVKKSi: T \BI.K. o 37°. 37M°. 37H". 37*f. 1 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 30.09 40.60 80.87 40.40 31.05 40.33 31.22 51 62 41.63 31.29 41.:;'.) 31.48 41.25 81.66 41.12 31.84 52 63 42.33 31.90 42.19 32.08 42.05 32.26 41.91 32.45 63 64 43.13 32.50 32. (9 42.70 33.06 64 83.10 13.78 33.29 43.63 33.48 43.49 33.67 65 44.72 33.70 33.90 34.09 44.28 34.28 56 57 J4.60 45.22 34.70 45.07 34.90 57 68 46.32 84.91 4i». J7 35.11 46.01 35.31 45.86 35.51 68 69 47. 12 35.51 35.71 46.81 :c,. •••_> 46.65 36.12 59 CO 47.92 36.11 47.76 36.32 47.60 36.53 47.44 36. 73 60 f,l 48.72 36.71 48.56 36.92 48.39 37. 13 48.23 37.35 (.1 4!». .">-> 37.31 49. 35 37.53 49.19 37.74 49.02 37.96 62 50.31 37.91 50.15 38. 13 38.35 49.81 38.57 0j 64 51.11 38. 52 50.94 38.74 50.77 50.60 39.18 64 51.91 39. 12 51.74 39.34 61.57 39.57 51.39 39.79 65 52.71 39.72 52.54 39.95 52. ;{c> 40.18 52.19 40.41 66 n 53.51 40.32 53.33 40.55 53.15 40.79 52. 98 41.02 67 54.31 40.92 54.13 41.1(5 53.95 41.40 53.77 41.63 68 69 :.:,. 1 1 41.53 54.92 41.77 54.74 42.00 54.56 42.24 69 70 55.90 42.13 55.72 42.37 55.53 42.61 55.35 42.86 70 71 56.70 42.73 56.52 42.98 56.33 43.22 66.14 43.47 71 n 57.50 43. 33 57.31 43.58 57.12 43.83 56.93 44.08 72 73 58.30 4S. '.« 58.11 44.19 57.91 44.44 57.72 44. 69 73 71 59.10 44.53 58.90 44.79 58.71 45.05 58.51 45.30 74 75 59.90 45. H 69.70 •I.'). -10 59.50 45.66 59.30 45.92 75 70 00.70 4.r>.74 60.50 46.00 60.29 40.27 60.09 46.53 76 77 61.49 81.29 46.01 t.I.OM 40.87 60.88 47.14 77 78 62.29 48.94 62.09 47.21 61.88 47.48 61.67 47.75 78 79 63.09 82.88 47.82 MM, 7 48.09 62.46 48.37 79 80 63.89 48.15 63.68 48.42 63.47 48.70 63.26 48.98 80 81 64.69 64.48 49. a3 64.26 49.31 64.05 49.59 81 82 65.49 49. 35 f»5.27 65.05 49.92 64.84 60.20 82 83 49. 95 60.24 »;.-•. s-, 50.53 65.63 50.81 83 84 67.09 60.84 51.14 51.43 84 85 61.15 51.45 67.44 51.74 87.21 52.04 85 86 52. 0<) 68.23 52.35 fiS.(H) 86 87 M. 2f. 87 • 70.28 69.82 53.57 69.58 53. vs 88 89 71.08 70.91 64.18 70.37 64.49 89 90 71.88 71.64 64.48 71.40 54.79 71.16 55.10 90 91 54.77 65.08 72.20 55.40 71.95 55.71 91 92 5o. 37 73.23 72. !>'• 56.01 72.74 92 93 74.27 65.97 50. 29 73.78 .rx;. 61 73. 53 50.94 93 94 75.07 74.83 6(5.90 57.22 57.65 94 95 75.87 67.50 7.-,. .'{7 57.83 75.12 68.16 95 96 57.77 68.11 76.16 58.44 75.91 as. 77 96 97 77.47 77.21 58.71 69.05 76.70 5'.». 3'.i 97 • 78.27 66.96 78,01 77.75 59.66 77.49 60.00 98 99 79.06 09.08 78.80 00.27 78.28 60.61 99 100 79.86 60.18 60.63 79.34 CJ). SS 79.07 61.22 100 i Dep. l.:it. Hop. Lat Dep. Lat i 5 53°. 83 TABLK 4.-TRAVKRSE TABLE. i 38°. 38^°. 3S^°. 383*°. B Cfi- • Lat. Pep. I.;lt. Dep. Lat. Dep. Lat. IVp. \ i 0.79 0. (i-' 0.79 0.62 0.78 0.62 0.78 0.63 1 2 1.58 1.23 1.57 1 . 24 1.57 1.25 1.56 1.25 2 3 2.36 1.85 2.36 1.86 2.35 1.87 2.34 1.88 3 4 3.15 2.46 3.14 2.48 3.13 2.49 3.12 2.60 4 5 3. 94 3.08 3.93 3.10 3.91 3.11 3.90 3.13 5 6 4. 73 3.69 4.71 3.71 4.70 3.74 4.08 3. 76 6 7 5.52 4.31 5.50 4.33 5.48 4.36 6.46 1.38 7 8 6. 30 4.93 6.28 4.95 6. 26 4.98 6.24 5.01 8 9 7.09 5.54 7.07 5. 57 7.04 5.60 7.02 5. 63 9 10 7.88 6.16 7.85 6.19 7.83 6.23 7.80 6.26 10 11 8.67 6.77 8.64 6.81 8.61 6.85 8.58 6.89 11 12 9. 4t; 7.. Si) 9.42 7.43 9.39 7.47 9. 36 7.51 12 13 10.24 8.00 10.21 8.05 10.17 8.09 10.14 N. 14 13 14 11.03 S. 02 10.99 8.67 10. 96 8.72 10.92 S. 76 11 15 1 1 . X2 9. 23 11.78 9.29 11.74 9.34 11.70 9.39 15 16 12. '11 9.85 12.57 9.91 12. 52 9190 12. 48 10.01 16 17 13. 40 10.47 13. 35 10.52 13.30 10.58 13.26 L0.64 17 18 14.18 11.08 14.14 11.14 14.09 11.21 14.04 1 1 . 27 18 19 14.07 11.70 14.92 11.76 14.87 1 l.s:; 14.82 11.89 If 20 15.76 12.31 15.71 12.38 15.65 12.45 15.60 12. .72 20 21 16.55 12.93 16. 40 13.00 16. 43 13. 07 16,48 13.14 21 22 17.34 13.54 17.28 13.62 17.22 13.70 17. 1C, 13. 77 22 23 18.12 14. 1C. 18.06 14.24 18.00 11.32 17.94 14.40 23 24 18.91 14.7X 18.85 14.86 18.78 14.94 18. 72 15.02 24 25 19.70 15.39 19.63 15. 48 19.57 15.66 19.50 15.65 25 26 30.49 it;. 01 20. 42 1C-. 10 20.35 16. 1!) 20.28 1C,. 27 26 27 2I.2X 16.62 21.20 16.72 21.13 16.81 21.06 16.90 27 28 22.06 17.24 21.99 L7.33 21.91 17. i:; 21.84 17.53 28 29 22.85 17. 85 22.77 17.95 22.7H 18.05 22.62 18.15 29 30 23. (54 18.47 23. 56 18. 57 23. 48 18.68 23.40 18.78 30 31 24.43 19.09 24. 34 19.19 24. 26 19.30 24.18 19.40 31 32 25.22 19.70 2:,. !:; 19.81 25.04 19.92 24.98 20.03 n 33 26.00 20.32 25.92 20.43 2.-,. S3 20.54 25. 74 20.66 33 34 2(1. 7!) 20. 93 26.70 21.05 26.61 21.17 26. .72 21.28 34 16 27.68 21.::, 27. 49 21.67 27.39 21.79 27.30 21.91 u 36 28.37 22. 1C, 2s. 27 22.29 28.17 22.41 28.08 22. 53 M 37 29.16 22.78 29.06 22.91 28.96 23. 03 28.86 23.16 37 38 29.94 23. 40 29.84 23. 53 29.74 23. 66 29. 64 23. 7'.) 38 39 30. 7:? 24.01 30. 63 24.14 30. 52 24.28 30. 42 21.11 39 40 31.52 24.63 31.41 24.76 31.30 24.90 31.20 2.701 40 41 32.31 25. 24 32.20 25. 38. 32.09 25. 52 31.98 2.7 C.C, 41 42 33.10 25. 86 32. 98 26. 00 32. 87 26. 15 32. 76 26. 2'.l 42 4.'{ 33. 88 26. 47 33. 77 26. 62 :w. <;r, 26.77 33. 54 26.91 43 44 34. r,7 27.09 34.55 27.24 34. 4:< 27. 39 34.31 27.71 44 45 3.7 46 27.70 35.34 27.86 35.22 28.01 35.09 2& 17 45 46 36.25 28.32 36. 12 2H. 4X 31 UK) 28.64 35.87 28.79 46 47 87.04 28. M 36.91 29.10 3f.. 7S 29. 26 36. Ii5 2'.). 12 47 4S 37. 82 29. 55 87.70 29.72 37. 57 37.43 80.04 48 40 :. 11 45.23 36.30 58 59 46.49 46.33 36.53 4(1. 17 36.73 46.01 36.93 88 GO •17. -J.x 36.94 47.12 37.15 46.96 37.35 46.79 37.56 60 61 -IS. 07 37.56 47.90 37. 76 47.74 37.97 47.57 38.18 61 62 4S. Mi 38.17 48.69 38.38 48.52 38.60 48.35 38.81 62 63 •!:». C.} 38.79 49.47 39.00 49.30 39.22 49.13 63 64 :;'.». 40 50.26 39. 62 50.09 39.84 49.91 40.06 64 65 51.23 40. (Y2 51.05 40.24 50.87 40.46 50.69 40.69 65 52. 01 40. t;:< 51.83 40. Mi 51.65 41.09 51.47 41.31 68 67 :,_'. so 41.25 52.62 41.48 52.43 41.71 52.25 41.94 67 68 4L86 53.40 42.10 53.22 42.33 53.03 68 42. 48 54.19 42.72 54.00 42.95 53.81 43. 19 69 70 55.16 43.10 54.97 43.34 54.78 43.58 54.59 43.81 70 71 55.95 43.71 55.76 43.% 55.57 44.20 55.37 44.44 71 72 56. 74 44. :« 56.54 44.57 56.35 44.82 56.15 45.07 72 73 44.94 57.33 45.19 57.13 45.44 56.93 45. tilt 73 74 58.31 18.56 58.11 45.81 57.91 46.07 57.71 46.32 " 74 75 59.10 46.17 88. M 4(1. 4:{ 58.70 46.69 f>S. 49 46.94 75 76 59.89 in. 79 59.68 47.05 59.48 47.31 59.27 47.57 76 77 60.68 47.41 60.47 47. 67 60.26 47.93 60.05 48.20 77 78 til. -Hi 48.02 61.25 4S. •_><» 61.04 48.56 00.83 4S. VJ 78 79 62.25 |N M 62.04 48.91 61.89 49.18 61.61 49.45 79 80 63.04 49.25 49.53 62.61 49.80 62.39 50.07 80 81 63.83 49.87 63.61 50.15 63.39 50.42 63.17 50.70 81 82 64.40 50.77 (.4. 17 51.05 63.95 51.33 82 83 u->. 40 51.10 (,-,. Is 51.38 64.96 51. 67 64.73 51.95 83 84 66. l«l 51.72 65.97 52.00 »wi. 7 1 52.29 65.51 52.58 84 85 «1T,. !'x M. 52 52.91 53.20 85 1.7.77 52.95 87. M 53.24 67.30 53.54 87.07 53.83 ^7 68.56 M. '*> 6S. ;<•_> 08.0) 54.16 87 54. IN 69.11 54. IN 68.87 54.78 55.08 88 7().l:; 54.79 55.10 55.40 69.41 55.71 89 90 70.92 55.41 55.72 70.43 56.03 70.19 56.33 90 91 71.71 56.03 71.46 71.22 56. li5 70. '.17 .V.. 'X, 91 92 7J. -2:, 72.00 71.7.-, 57.58 92 88 67.28 73.03 57.58 58.21 93 '.il 74.07 ;.x. i«i 5.x. .VJ ;,s. M 94 74.86 .r»v •('.» 74. i.l 58.81 59.14 74.01 95 96 .71. HI 59.43 .v.). 71 ; 74.87 00.08 96 89 78. il 59.72 7ii. is <>o. 05 75.91 80.88 80.71 97 79.08 r.i.m C.1.34 98 99 78.01 77.75 77. is 61.97 99 100 78.80 78.53 61.91 78.26 77. w 62.59 100 1 I',.,.. lAt. Dep. Lat. Dep. Lat. Dep. Lat. | i 0 52*. 515f- 51H'. 51*'. § 85 TABLE -I. -TRAVERSE TABLE. • o 39°. 39X2°. 39V- y ET £ I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P j 0.78 0.63 0.77 0.63 0.77 0.64 0.77 0.64 j 2 1.55 1.26 1.55 1.27 1.54 1.27 1.54 1.28 2 3 2.33 1.89 2.32 1.90 2.31 1.91 2.31 1.92 3 4 3.11 2.52 3.10 2.53 3.09 2.54 3.08 2.56 4 5 3.89 3.15 3.87 3.10 3.80 3.18 3.84 3.20 5 6 4.66 3.78 4.65 3.80 4.63 3.82 4. 61 3.84 6 7 5.44 4.41 5.42 4.43 5.40 4.45 5.38 4.48 7 8 6.22 5.03 6.20 5. 00 6.17 5.09 6. 15 5.12 S 9 6.99 5.66 6. 97 5.09 6.94 5.72 6.92 5.75 9 10 7.77 6.29 7.74 6.33 7.72 6.36 7.69 6.39 10 11 8.55 6.92 8.52 ' 6.96 8.49 7.00 8.46 7.03 11 12 9.33 7.55 9.29 7.59 9. 20 7.03 9.23 12 13 10.10 8.18 10.07 8.23 10.03 8.27 9.99 8.31 13 14 10.88 8.81 10.84 8.86 10.80 8.91 10.76 8.95 14 15 11.66 9.44 11.62 9.49 11.57 9.54 11.53 9.59 15 16 12. 43 10.07 12.39 10.12 12.35 10.18 12.30 10.23 10 17 13.21 10.70 13. 10 10.76 13. 12 10. 81 13.07 10.87 17 18 13.99 11.33 13.94 11.39 13.89 11.45 13.84 11.51 18 19 14.77 11.98 14.71 12. 02 14.66 12.09 14.61 12. 15 20 15.54 12.59 15.49 12.65 15.43 12.72 15.38 12. 79 20 21 16.32 13.22 16.26 13.29 16. 20 13.36 10.15 13. 43 21 22 17.10 13.85 17.04 13.92 16.98 13.99 10.91 14. 07 22 23 17.87 14.47 17.81 14.55 17.75 11. 03 17. C8 14.71 23 24 18.65 15.10 18.59 15.18 18.52 15.27 18.45 15.35 24 25 19.43 15.73 19. 30 15.82 19.29 15.90 19. 22 15.99 2.-> 26 20.21 16.36 20. 13 16.45 20. 00 16.54 19.99 10. 03 26 27 20.98 16.99 20.91 17.08 20. S3 17.17 20.76 17.26 27 28 21.76 17.02 21. (is 17.72 21.01 17.81 21.53 17.90 28 29 22.54 18.25 22.46 18.35 22.38 18.45 22.30 18.54 29 30 23.31 18.88 23.23 18.98 23.15 19.08 23.07 19.18 30 31 24.09 19.51 24.01 19. 61 23.92 19.72 23.83 19.82 31 32 24.87 20.14 24. 7S 20.25 24. C.9 20. 35 24. 60 33 25. (5 20.77 25.55 20.88 25.46 20.99 25.37 21. 10 20.42 21.40 26.33 21.51 26. 24 21. 03 26.14 21.74 31 36 22. 03 27.10 22.14 27.01 22.26 26.91 22.38 36 27.98 27. SS 22.78 27.78 22.90 27.68 36 37 28.75 23.28 2S. i;-) 23.41 2S. '•>•) 23.53 28.45 37 38 29. :»3 23.91 29.43 24.04 29.32 24.17 29.22 24.30 H 39 30.31 24. 54 30. 20 24. 08 30.09 24.81 29.98 24.94 40 31.09 25.17 30.98 25.31 30. SO 25.44 30.75 25.58 40 41 31.86 25.80 31. 75 25.94 31.64 2i',. Os 31.52 26.22 41 42 32.64 20 43 32. .VJ 26.57 32.41 2( i. 72 32.29 26.86 42 43 33.42 tor. oe £3.30 27.21 33.18 27.35 27. 50 43 44 34.19 27.69 34.07 27.84 33. '.).-> 27. '.f.i 33. S3 28. 1 1 11 4.') 34.97 2S. 32 2S. 17 34.72 IN. 77 45 46 35.75 28.95 20. 10 35.49 20.26 I!'.). 1 1 47 36.53 29.58 •_".». 7 » 29.90 30.0.-) 47 48 37.30 30.21 37. 17 30. 37 37.01 30. :,3 49 38.08 30.84 37. «.».-> 31.00 37.81 31. 17 31.33 ~*4'l 50 38.86 31.47 38.72 31 < 1 38.58 31.80 38.44 31.97 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 51°. 50^°. 50^°. 50^° I TABLE 4.-TRAVKISSK TV III.!!. o 5T 39°. 39>i«. 39J4°- 39*i«. & I Lat. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 39.63 32.10 39.49 32.27 39.35 32.44 39.21 32.61 51 52 40.41 32.72 40.27 32.90 40.12 33.08 39.98 33.25 52 53 41.19 33.35 41.04 33.53 40.90 33.71 40.75 33. S'.» 53 54 41.97 33.98 41.82 34.17 41.67 34.35 41.52 34.53 54 55 42.74 34.61 42.59 34.80 42.44 34.98 42.29 35.17 55 56 43.52 35.24 43.37 35.43 43.21 35.62 43.06 35.81 56 57 44.30 35.87 44.14 36.06 43.98 36.26 43.82 36.45 57 58 45.07 36.50 44.91 36.70 44.76 36. S-.I 44.59 37.09 58 59 45.85 37.13 45.69 37.33 45.53 37.53 45.36 37.73 59 60 46.63 37.76 40.46 37.96 46.30 38.16 46.13 38.37 60 61 47.41 38.39 47.24 38.60 47.07 38.80 46.90 39.01 61 62 48.18 39.02 48.01 39.23 47.84 39.44 47.67 3<>. 4-2 48.98 59.20 49.24 77 78 60.62 49.00 60.40 49.35 60.19 49. 61 59.97 4'.). SS 78 79 61.39 49.72 61.18 49.98 60.96 50.25 f.n.74 50.52 79 80 62.17 50.35 61.95 50.62 61.73 ,V). Ml 61.51 51.16 80 81 62.95 50.97 62.73 51.25 62.50 51.52 62.28 51.79 81 82 63.50 61.88 63.27 52.16 63.04 52.43 82 83 64.50 64.27 52.51 64.04 52.79 63.81 53.07 83 84 65.05 68.16 53.43 m. 5s 53.71 84 85 66.06 53.49 65.82 53.78 65.59 54.07 65.35 54.35 85 86 66.83 54.12 60.60 54.41 66.36 54.70 (>;. !•_> 54.99 86 87 54.75 r.7. 37 55.05 67.13 55. 34 66.89 87 88 55.38 55.68 67.90 55.97 88 89 69.17 66.01 68.92 68.67 56. 91 89 90 69.94 56.64 60.70 69.45 69.20 57.55 90 91 70.72 57.27 70.47 57.58 70.22 57.88 «;•!. 'if, ,\s. 10 91 92 71.50 57.90 71.24 58.21 70.99 70.73 /is. s:j 93 72.27 72.02 68.84 60.16 71.50 59.47 93 M 73.06 -*>. ir, 72.79 59.47 59.79 72.27 60.11 94 95 -,!». 7r> 73.57 60.11 73.30 60.43 74.04 95 96 60.41 74.34 74.08 78.81 96 97 61.04 74 ]•_• 74.85 61.70 74. AH 97 J>* 7ti. Hi 6L67 7.-,. V. 68.01 80.84 98 K 76.94 76.38 6X87 76.12 88.80 99 100 77.71 77. II 63.27 77.16 7H. s.s 63.94 100 I Dep. Lat. Dep. Lat Dep. Lat Dep. Lat g 5 51 •. 50H°. SOH°. 60K«. 1 87 TABLE 1.— TRAVERSE TABLE. b 40°. 40M°. 40H°. 4o?r. 0 I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. I 1 0.77 0.64 0.76 0.65 0.76 0.65 0.76 0.65 1 2 1.53 1.29 1.53 1.29 1.52 1.30 1.52 1.31 2 3 2.30 1.93 2.29 1.94 2.28 1.95 2.27 1.96 3 4 3.06 2.57 3.05 2.58 3.04 2.60 3.03 2.61 4 5 3.83 3.21 3.82 3.23 3.80 3.25 3.79 3.26 5 6 4.60 3.86 4.58 3.88 4.56 3.90 4.55 3.92 (i 7 5.36 4.50 5.34 4.52 5.32 4.55 5.30 4.57 7 8 6.13 5.14 6.11 5.17 6.08 5.20 6.06 5.22 8 9 6.89 5.79 6.87 5.82 6.84 5.85 6.82 5.87 9 10 7.66 6.43 7.63 6.46 7.60 6.49 7.58 6.53 10 11 8.43 7.07 8.40 7.11 8.36 7.14 8.33 7.18 11 12 9.19 7.71 9.16 7.75 9.12 7.79 9.09 7.83 12 13 9.96 8.36 9.92 8.40 9.89 8.44 9.85 8.49 ia 14 10.72 9.00 10. 09 9.05 10.65 9.09 10.61 9.14 14 15 11.49 9.64 11.45 9.69 11.41 9.74 11.36 9.79 15 16 12. 20 10.28 12.21 10.34 12.17 10.39 12.12 10.44 16 17 13.02 10.93 12.97 10.98 12. 93 11.04 12.88 11.10 17 18 13.79 11.57 13.74 11.63 13.69 11.69 r'..f, I 11.75 is 19 14.55 12.21 14.50 12.28 14.45 12.34 14.39 12.40 19 20 15.32 12.86 15.26 12. 92 15.21 12.99 15.15 13.06 20 21 16.09 13.50 16.03 13.57 15.97 13.64 15.91 13.71 21 22 16.85 14.14 16.79 14.21 16.73 14.29 16.67 14.36 22 23 17.62 14.78 17.55 14.86 17.49 14.94 17.42 15.01 23 24 18.39 15.43 18.32 15.51 18.25 15.59 18.18 15.67 24 25 19.15 16.07 19.08 16.15 19.01 16.24 18.94 16. 32 25 26 19.92 16.71 19.84 16.80 19.77 16.89 19.70 16.97 26 27 20.68 17.36 20.61 17.45 20.53 17.54 20.45 17.6U 27 28 21.45 18.00 21.37 18.09 21.29 18.18 21.21 18.28 29 22.22 18.64 22.13 18.74 22105 18.83 21.97 18.93 29 30 22.98 19.28 22.90 19.38 22.81 19.4S 22.73 19.58 30 31 23.75 19.93 23.66 20.03 23.57 20.13 23.48 20.24 31 32 24.51 20.57 24.42 20.68 24.33 20.78 24.24 20.89 33 25.28 21.21 25.19 21.32 25.09 21.43 21.00 2L54 83 34 26.05 21.85 25.95 21.97 2.-,. s-, 22.08 25.76 22.19 ::l 35 26.81 22.50 26.71 22.61 26.61 22.73 26.51 22.85 85 36 27.58 23.14 27.48 23. 2G 27.37 23.38 27.27 23.50 86 37 28.34 23.78 28.24 23.91 28.14 24. 03 28.03 24.15 37 38 29.11 24.43 29.00 24.55 28.90 24.68 US. 7->. 2!) U'.uui 25.33 29.55 25.46 39 40 30.64 25.71 30.53 25.84 30.42 25.98 30.30 26.11 40 41 31.41 26.35 31.29 26.49 31. 18 26.63 31.06 2C..7C, 41 42 32.17 27.00 32.06 27.14 31.94 27.28 31.82 27. -12 12 43 82.94 27.64 32.82 27.78 32.70 27.93 32.58 2S. 07 43 44 33.71 28.28 33.58 28 43 33. 4(i 33.33 28.72 44 45 34.47 •_>s. «.,:{ 34.35 29.08 34.22 •».». 2:: 34.09 ».37 45 46 35.24 29.57 35.11 29.72 34.98 29.87 34.85 30.03 46 47 3ft. 00 30.21 35.87 30.37 35.74 30.52 85.61 47 48 36.77 30.85 36.64 31.01 M.50 31.17 36.36 31.33 49 37.54 81.50 37.40 31.06 37.26 31.82 37.12 31.99 49 50 :vs.:;n 32.14 38.16 32.31 38.02 32.47 l',7. ss 32.64 50 § Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 * 50°. 49X'. 49^'. 49*'. 0 TVHI.K ». TR1VKIISK TABLE. d 5 40'. 40>**. 40H-. 40H-. 1 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 39.07 32.78 38.92 32.95 38.78 33.12 38.64 33.29 51 52 39.83 33.42 •At. a> 33.00 39.54 33.77 39.39 33.94 52 53 40. GO 34.07 40.45 34.24 40.30 34.42 40.15 34.60 53 54 41.37 34.71 41.21 34.89 41.06 35.07 40.91 35. 25 54 55 42.13 35.35 41. '.IS 35.54 41.82 35.72 41.07 35.90 55 56 42.90 36.00 42.74 36.18 42.58 36.37 42.42 3o.55 56 57 43.66 36.64 43.50 36.83 43.34 37.02 43.18 37.21 57 58 44.43 37.28 44. 27 37.48 44.10 37. 67 43.94 37.86 68 59 45.20 37.92 45.03 38.12 44.86 38.32 44.70 38.51 59 GO 45.96 38.57 45.79 38.77 45.62 38.97 45.45 39.17 60 61 4f>. 73 39.21 46.56 39.41 46.38 39.62 46.21 39.82 61 62 39.85 47.32 40.06 47.15 40.27 40. 97 40.47 62 63 48.26 40.50 48.08 40.71 47.91 40.92 47.73 41.12 63 64 40.00 41.14 4.x. .x.-, 41.35 48.07 41.56 48.48 41.78 64 65 49.79 41.78 49. til 42.00 49.43 42.21 49.24 42.43 65 66 50.56 42.42 50.37 42.04 50.19 42.86 50.00 43.08 66 67 51.32 43.07 51.14 43.29 50.95 43.51 50.76 43.73 67 68 52.09 43.71 51.90 43.94 51.71 44. 10 51.51 44.39 68 69 52. S6 44.35 44.58 52.47 44.81 52.27 45.04 69 70 53.62 45.00 53.43 45.23 53.23 45.46 53.03 45.69 70 71 54.39 45.64 54.19 45.87 53.99 46.11 53.79 46.35 71 72 55.16 46.28 54.95 46.52 54.75 4i',. 7ii 54.54 47.00 72 73 55.92 46.92 55.72 47.17 55.51 47.41 55.30 47.05 73 74 5(i.G9 47.57 56.48 47.81 50.27 40.06 56.06 48.30 74 75 57.45 48.21 57.24 48.46 57.03 48.71 56.82 48.96 75 76 58 22 4v. v;, 58.01 49.11 57.79 49.36 57.. •" 49.61 76 77 58.99 49.49 58.77 49.75 58.55 50.01 58.33 50.26 77 78 59.75 50.14 59.53 50.40 80.31 50.06 59.09 50.92 78 79 00. .-,_> 50.78 60.30 51.04 00.07 51.31 &». v.-, 51.57 79 80 61.28 51.42 61.06 51.09 60.83 51.96 «). r.i 52.22 80 81 62.05 52.07 61.82 52.34 61.59 52. 61 61.36 52.87 81 82 62.82 6166 52.98 62.35 53.25 1.2. 12 53.53 82 83 63.58 53.35 61.86 53.03 63.11 53.90 62.88 64.18 83 84 64.35 53.99 64.11 54. '21 54.55 63.64 64.01 84 85 65.11 54. G4 64.87 54.92 64. 03 86.20 64.39 55.48 85 86 65.88 .V>. -js 65.64 55.57 65.39 55.85 65.15 50.14 86 87 »/.. t :, 55.92 or., -in 56.21 56.50 65.91 56.79 87 88 67.41 56.57 ;,-•.. xi; r,f.. '.'2 57.15 57.44 88 89 68.18 S7.21 67.96 57.51 67.08 57.80 58.10 89 90 G8.94 57.85 68.69 58.15 68.44 58.45 68.18 58.75 90 91 69.71 58.49 • •'.». I.", 58.80 69.20 01.16 68.94 59.40 91 92 70.48 59.14 70.22 59.44 60.96 60. 7.-, 60.70 60.05 92 93 71.24 •,-.». 78 78.96 60.06 70.72 60.40 60.71 93 94 73.01 60.43 71.74 60.74 61.05 71.21 94 95 61.06 78, :.i 61.38 61.70 62.01 95 96 :.«. .>t 61.71 73.27 63.06 73.00 63. SB 02.06 9.; 97 62.35 74.03 03.67 73.76 63.00 97 98 75.07 62.99 74.80 63.32 74.52 ..;. i :, 74.24 98 99 75.84 63.04 75.56 Ui. '.>7 7.V 28 64.30 75.00 6169 99 100 70. (X) 64.28 7... .;.' 64.61 ft 04 75.76 .o.2s 100 § Dep. Lat. Dep. Lat Pi i>. Lat. Dep. Lat I 3 a 50*. 4->V- 4»H'. 49K*. 1 TABLE 4. -TRAVERSE TABLE. I 41°. 41^°. mr 41%°. 1 i Lat. Dep. Lat. Dep. Lat. Dep. Lat, Dep. i i 0.75 0.66 0.75 0.66 0.75 0.06 0.75 0.67 i 2 1.51 1.31 1.50 1.32 1.50 1.33 1.49 1.33 2 3 2. 26 1.97 2.26 1.98 2.25 1.99 2.24 2.00 3 4 3.02 2. (12 3.01 2.64 3.00 2.(i5 2.98 2. (if) 4 5 3.77 3.28 3.76 3.30 3.74 3.31 3.73 3.33 5 6 4.53 3.94 4.51 3.96 4.49 3.98 4.48 4.00 6 7 5.28 4.59 5.26 4.62 5.24 4.64 5.22 4.66 7 8 6.04 5.25 6.01 5.27 5.99 5.30 5.97 5.33 S 9 6.79 5.90 6.77 5.93 6.74 5.96 6.71 5.99 9 10 7.55 6.56 7.52 6.59 7.49 (i. (13 7.46 6.66 10 11 8.30 7.22 8.27 7.25 8.24 7.29 8.21 7.32 11 12 9.06 7.87 9.02 7.91 8.99 7.95 8.95 7. 99 12 13 9.81 8.53 9.77 8.57 9.74 8.61 9.70 8. f.6 13 14 10.57 9.18 10.53 9.23 10.49 9.28 10.44 9.32 14 15 11.32 9.84 11.28 9.89 11.23 9.94 11.19 9.99 15 16 12.08 10.50 12.03 10. 55 11.98 10. (iO 11.91 10.115 If. 17 12.83 11.15 12.78 11.21 12.73 11.26 12.68 11.32 17 18 13.58 11.81 18.58 11.87 13.48 11.93 13.43 11.!)!) 18 19 14.34 12.47 14.28 12.53 14.23 12.59 14.18 12. (5 19 20 15.09 13.12 15.04 13.19 14.98 13.25 14.92 13.32 20 21 15.85 13.78 15.79 13.85 15.73 13.92 15.G7 13.98 21 22 1(1. (iO 14.43 16. 54 14.51 16.48 14.58 1(1.41 14,61 22 23 17.36 15.09 17.29 15. 16 17.23 15.24 17.16 15.32 23 24 18.11 15.75 18.04 15.82 17.1)7 15.90 17.91 15.98 24 25 18.87 16. 40 is. M) 16.48 18.72 16. 57 18. 65 id. (15 25 26 19. 62 17.06 19.55 17.14 19.47 17.23 19.40 17.31 26 27 20.38 17.71 20.30 17.80 20.22 17.89 20.14 17. 98 27 28 21.13 18. 37 21.05 18. 46 20.97 18.55 20.89 IS. (il 28 29 21.89 19.03 21.80 19.12 21.72 19.22 21.64 19. 31 29 30 22. 64 19.68 22.56 19.78 22.47 19.88 22.38 19.98 30 31 23.40 20.34 23. 31 20.44 23.22 20.54 23.13 20.64 31 32 24.15 20.99 24.06 21.10 23. 97 21.20 23.87 21.31 32 33 B4.91 21. (15 24.81 21.76 24.72 21.87 24. 62 81.9? 33 34 25. (id 22.31 25. .5(1 22.42 25. 46 22.53 25. 37 22.64 34 35 2(1. 41 22.96 26.31 23.08 2(1.21 23.19 26.11 23.31 85 36 27.17 23. (12 27.07 2.1.71 2i;. '.><; 23.85 2(i. Stl 28.97 3(1 37 27.92 24.27 27.82 24.40 27.71 24.52 27. M 24.64 37 38 28.68 24.93 28.57 25. 06 28.46 25.18 28.35 25. 30 89 21). 13 25.59 29.32 25. 71 29.21 25.84 29.10 25.97 39 40 30.19 26. 24 30.07 26.37 29.96 26.50 29.84 26. (14 40 41 30.94 26.90 30.83 27.03 30.71 27.17 30.59 27.30 41 42 31.70 27. 55 31.. 58 27.69 31. tii 27. S3 31.33 27. 97 42 43 32. 15 LVL'l • 32. 33 28.35 32.21 28.49 32.08 2S. C,3 43 44 33.21 28.87 33! 08 29.01 32.95 29.16 32.83 29.30 44 45 33. 111! 29.52 33. S3 21). (17 33.70 21). S2 as. 57 29.97 45 46 34.72 3,:>. '.>5 81.81 35.81 31.96 •is 49 36^98 3_'. 15 3li. S4 82.31 3'-.. 70 32. 17 82.63 4!) 50 37.74 32.80 37.59 32. !I7 37.45 33. 13 37.30 33.29 50 8 D«P. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 1 49°. m: «*•. jto ft 90 TABLE 4.-TKAM I:SK TABLE. b 41°. 41*°. 41)?. 41*f°. | \ Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 38.49 33.46 38.34 33.63 38.20 33.79 38.05 33.96 51 52 39.24 34.12 39. 10 34.29 38.95 34.46 38.79 34.63 52 53 40.00 34.77 39.85 34.95 39.69 35.12 39.54 35.29 53 54 40.75 35.43 40.60 35. (X) 40.44 35.78 40.29 35.96 54 55 41.51 H.08 41.35 :',«;. •_'.-, 41.19 36.44 41.03 36.62 55 16 42.26 36.74 42.10 36.09 41.94 37.11 41.78 37.29 5f> 57 43.02 37. -10 42.85 37.58 42.69 37.77 42.53 37.96 57 58 43.77 38.05 43.61 38.24 43.44 38.43 43.27 38.62 58 59 44.53 38.71 44.36 38.90 44.19 39.09 44.02 39.29 59 60 {.->. _N 39.36 45.11 39.56 44.94 39.76 44.76 39.95 60 61 46.04 40.02 45.86 40.22 45.69 40.42 45.51 40.62 61 62 4(1. 1,1 •jo. vs 46.44 41.08 41.28 62 5<>. 70 64.41 56.98 64.16 S4> 87 87.36 57.65 64.91 87 88 (V..41 57. 73 HI. ir. 58.02 65.91 58.31 88 89 58. i\S .. •,...; 88.97 M, }•) 89 90 67.92 59.05 59.34 67.41 59.64 67.15 59.93 90 91 6B.6I 59.70 68.42 60.00 K !.-, 60.30 i,7. VI 91 92 69.17 lls.'.H) 60. W 68.64 92 93 70.19 (.1.01 !"'.'_' 1 ". 1 .1 88 38 93 94 ;n.; 33.18 30.40 33.04 30.55 45 M :u. is 30.78 34.05 30.93 33.91 31.08 33.78 31.22 46 47 34. 93 :;i. i:, 34. 7!) 31.60 34.65 31.75 34.51 31.90 47 48 35.67 :<•_'. i-j 32. 27 32.43 35.25 32.58 48 ::r,. 11 :<2. 7'» 3ft. 27 33.95 :;ii. i:s 33. 10 35.98 33.26 49 50 :',7. U. .;:{. if, 37.01 33.62 36.86 33.78 36. 72 33.94 50 1 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. i 8 48*. 47?r. 47«°. 47Ji°. 1 92 T \lll.K I.-TKAVKRSK T\BLK. B 42°. •W. W. g 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 37.90 34. 13 37.75 34.29 37.00 34.46 37.45 34.62 51 52 38. (U 34. 79 38. 4!« 34.90 38.34 35.13 38.18 85.30 62 53 39.39 35.40 39.23 35.64 39.03 35.81 38.92 35.98 53 54 40.13 36.13 39.97 36.31 39.81 36. 48 39.65 :;.,...., 64 55 40.87 16,80 40.71 36.98 40.55 37. Hi 40.39 37. ?3 65 n 41.82 37.47 41.45 37. 05 41.29 41. 1J 88.01 56 57 42.36 38.14 42.19 38.32 42.02 41.86 38.09 57 58 43.10 38.81 42.93 39.00 42. 70 89.18 4 2. .7.1 39.37 58 59 43.85 89.48 39.07 43.50 39.80 43.33 40.05 59 60 44.59 40.15 44.41 40.34 44.24 40.54 44.06 40.73 60 61 45.33 40.82 45. 15 41.01 44.97 41.21 44.79 41.41 61 62 46.07 41.49 46.89 41.09 45.71 41.89 45.53 42.09 62 63 46.82 42. Hi 42. 30 46.45 42.56 4J. 70 63 47.50 47.37 47.19 43.24 47.00 43. 44 64 65 43.49 43.70 47.92 43. 91 47.7:{ 44.12 65 66 ;i. i«; 48.85 44.38 4V I.''' 44.59 48.47 44.80 66 67 49.79 44.83 49.59 45.05 49.40 45.26 49.20 45.48 67 60.53 45.50 50.33 45. 72 60.13 45.94 49.93 46.16 68 i 51.28 46.17 61.08 46.39 50.87 40.62 50.67 40. M 69 70 52.02 46.84 51.82 47.07 51.61 47.29 51.40 47.52 70 71 47.51 52.56 47.74 52. 35 47.97 52.14 48.19 71 S3. 51 48.18 53.30 48.41 53.08 48.64 52.87 48.87 72 73 54.25 48.85 54.04 49.08 53.82 49.32 53.01 49.55 73 74 54.99 54.78 49.76 64.66 49.99 54.34 50.23 74 75 55.74 50.18 50.43 55.30 50.67 55.07 60.91 75 50.85 51.10 56.03 51.34 55.81 51.59 76 77 51.52 57.00 61.77 50.77 52.02 50.54 52. 27 77 78 57.97 57.74 :._'. i ! 57.51 52.70 57.28 52.95 78 79 58.71 53.12 58.24 53.37 58.01 53.63 T9 80 59.45 53.53 59.22 53.79 58.98 54.05 58.75 54.30 80 81 60.19 64.20 59.% 54.40 59.72 54.72 59.48 54.98 81 82 60.94 55. 13 60.46 65. -)(> 60.21 65.06 82 83 5-5.54 61.44 61.19 56.07 60.95 56.34 83 84 56.48 61.93 56.75 61.68 57.02 84 85 63.17 57.15 62. 67 57.43 57.70 85 86 63.91 57.55 57. 82 63.41 58.10 58.38 86 87 64.65 58.21 64.40 58.50 58.78 68.89 69.06 87 88 65.40 r»x. xs i..V 1 1 59. 17 64.88 69.45 69.73 88 89 (Hi. 1 I .-, ». .-,.-, r,-,. sx 59.84 65.62 60.13 65. 85 60.41 89 90 Ik',. X* 00.22 66.62 60.51 60.35 60.80 66.09 61.09 90 91 67.63 60.89 67.86 61.19 67,09 61.48 66.82 91 92 68.37 ox. in 61.86 67. M 62.15 92 93 69.11 62.23 68, - 1 62.53 68. :.7 82.83 68.29 63.13 93 94 69.M 62.90 69.58 63.20 69.30 63.51 69.03 63.81 94 95 70.60 63.57 70.32 63.87 70.04 64.18 69, 76 64.49 95 96 71.34 7L06 64.55 70.78 64.86 70.49 65.16 96 97 72.09 64.91 71.-, 65.63 71.23 • 5. x i 97 98 72, •» ; 65.57 72.54 72.25 71.98 i 6, 69 98 99 73.57 66.24 73.28 66.56 72.99 66.88 67.20 99 100 66.91 74.02 67.24 73.73 67.66 73.43 67, v, 100 I Dep. Lat. Dep. Lat. Dep. L«t. Dep. Lat. 1 Q 4s'. 47'/. 47Jf. 5 93 TABLK 4.— TRAVERSE TABLE. g 43°. 43^4°- 43^°. 4334°. a B 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. P 1 0.73 0.68 0.73 0.69 0.73 o. r,«i 0.72 0.69 1 2 1.4(1 1.36 1.46 1.37 1.45 1.38 1.44 1.38 2 3 2.19 2.05 2.19 2.06 2.18 2.07 2.17 2.07 3 4 2.93 2.73 2.91 2. 74 2.90 2.75 2. S!) 2.77 4 5 3. (Mi 3.41 3.64 3.43 3.63 3.44 3. 01 3. 40 5 0 4.39 4.09 4.37 4.11 4.35 4.13 4.33 4.15 8 7 5.12 4.77 5.10 4.80 5.08 4.82 5. 00 4.84 7 8 5.85 5. 40 5.83 5.48 5.80 5.51 5.78 5.53 S 9 6.58 0. 14 6. 56 6.17 6.53 6.20 0. •-.') 0. 22 9 10 7.31 6.82 7.28 6.85 7.25 6.88 7.22 6.92 10 11 8.04 7.50 8.01 7.54 7.98 7.57 7.95 7.61 11 12 S. 7S 8.18 S. 74 8.22 8.70 X.20 8.67 8.30 12 13 9.51 8.87 9.47 8.91 9.43 8.95 (». 3!) 8.99 13 14 10.24 9.55 10.20 9.59 10. 16 9.64 10.11 9.68 14 15 10.97 10.23 10.93 10.28 10.88 10,33 10.84 10.37 15 16 11.70 10.91 11.65 10.96 11.61 11.01 11.66 11.06 16 17 12. 43 11.59 12. 38 11.65 12. 33 11.70 12.28 IL76 17 18 13.16 12.28 13.11 12.33 13.06 L2.39 13. (X) 12.4.-, 18 19 13.90 12.96 13.84 13.02 13.78 13.08 13.72 13. 14 1'J 20 14.03 13.64 14.57 13.70 11. 51 13.77 14.45 13.83 20 21 15. 3fi 14.32 15.30 14.39 15.23 14.46 15.17 14.52 21 22 16.09 15.00 16.02 15.07 15.96 15.14 15.89 15.21 22 23 16.82 15. 69 10 75 15.76 16.68 15.83 lo. oi 15.90 a 24 17. 55 16.87 17.48 16.44 17.41 10. 52 17.34 16. 60 24 •j:» 18.28 17.05 18.21 17.13 18.13 17.21 18. 00 17.29 25 20 19.02 17.73 18.94 17.81 18.86 17.90 18.78 17.98 20 27 19.75 18.41 19. 67 18.50 19.59 18. 59 19.50 18.67 27 28 20.48 19.10 20.39 19.19 20.31 19.27 20.23 19.36 a 29 21.21 19.78 21.12 19.87 21.04 19. 96 20.95 20. 05 21) 30 21 . •> 26.60 28.41 26.72 28.29 •jr. .v.-, 28.17 20. !)7 39 40 29.25 27.28 29.13 27.41 29.01 27.53 28.89 27.66 40 41 •J'.l. '.'«! 27.96 29.86 28.09 29.74 28.22 29. 02 28.35 41 42 30.72 28. 64 30.59 28.78 30.47 28.91 30.34 29.04 42 43 31.45 29.33 31.32 31.19 29.60 81.06 29.74 43 44 32.18 30.01 32.05 30.15 31.92 30.29 31. 78 30. -43 44 45 32.91 30. r.y 32.78 30.83 32.64 30.98 32. 51 31.12 45 40 33. 04 31.37 33.51 31.52 33.37 81.66 33. 23 31.M 40 47 34. 37 32.05 34.23 32.20 34.09 32. 35 33. 95 32. 50 47 48 35.10 32.74 x 1. % 34.82 33.04 34.67 33.19 48 49 35.84 33.42 35. 69 33.57 35. 54 3:5. 73 35. 40 :',:',. ss 49 50 36.57 34.10 36.42 34.20 36.27 34.42 36. 12 34.58 50 I Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 5 47°. «*% W- I TABLE 4.— TRAVERSE TABLE. 0 5T «•. 43^'. 43^°. 43H-. U % I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. 1 51 37.30 3-1. 7S 37.15 34.94 36.99 35.11 3.;. s-j 3.5.27 51 88.08 85, 40 37. ss 35. (8 37.72 35.79 37.50 35.96 52 53 38.60 86.81 3S. 41 3i.. -js 38.29 30. 05 53 54 311. 4!> 30. S3 39.33 37.00 39.17 37.17 39. 01 37.34 54 55 «L98 37. 51 40.06 87.68 39.90 37.86 39.73 38.03 55 40.96 38.19 40.79 38.37 40. 02 38.55 40.45 38.72 56 57 41.69 3S. S7 41.52 39.00 41.3.1 39.24 41.17 39.42 57 58 42.42 39. .10 42. 25 39. 74 42.07 39.92 41.90 40.11 58 59 43.15 40.24 42.97 40.43 42.80 40.01 42.02 40.80 59 GO 43.88 40.93 43.70 41.11 43.52 41.30 43.34 41.49 60 61 44.61 41.60 44.43 41.80 44.25 41.99 44.06 42.18 61 45.34 42.28 45.10 42.48 44.97 42.68 44.79 42. H7 46.08 42.97 45.89 43.17 45.70 43. 37 45. 51 43.57 63 46. 81 43.65 46.43 43. So 46.42 44.05 46.23 44.20 04 47. 54 44.33 47. 31 44.54 47. 15 44.74 46. 95 44.95 65 48.27 45.01 48.07 45.22 47.87 4.1. 43 47.08 45.04 60 07 49.00 48.80 45.91 48.60 4i, 12 4s 40 46.33 67 49.73 40.38 4U. .13 40.59 49.33 40. 81 49.12 47.02 68 88 .10. -11 ; 47.06 50.2*5 47.28 50.05 47.50 49.84 47.71 69 70 51.19 47.74 50.99 47.90 50.78 48.18 50.57 48.41 70 71 51.93 48.42 51.71 48.05 51.50 48.87 51.29 49.10 71 72 52. 06 49.10 .12. 44 49.33 52.23 49.50 52.01 49.79 72 73 53.39 49.79 .53.17 50.02 52. 95 50.25 52.73 50.48 73 74 54.12 50.47 53.90 50.70 53.68 50.94 53.45 51.17 74 75 54.85 51.15 .14. 03 51.39 54.40 51. 03 54.18 51.86 75 76 55.58 51.83 5.5.30 52.07 55.13 52. 31 54.90 52.55 76 77 50.31 52.51 5(5.08 52.70 55.85 53.00 53.25 77 78 57.05 53.20 56.81 53.44 .Ki. .is 53.09 66.34 53.94 78 57.78 53. S.S 57.54 .14. 13 57.30 54.38 57.07 54.03 79 80 58.51 54.56 58.27 54.81 58.03 55.07 57.79 55.32 80 81 59.24 55.24 59.00 55.50 58.76 .18. .11 50.01 81 82 59.97 55.92 59.73 50.19 59.48 50.45 59.23 .10. 70 82 83 00.70 on. 4.1 50. 87 00.21 57.13 59.96 57.40 83 84 61.43 .17. '-".I 61.18 57.66 60.93 57.82 60.68 58.09 84 02. 17 57.97 61.91 58.24 58.61 01.40 58.78 86 .is. '.•:; 02.38 .1'.» "JO 02 12 59.47 86 87 .v.i. :u 03. 37 fill. 01 1.3. 11 .111 M» 1,2 s.1 00.16 87 88 60.02 64.10 la ao 63.83 60.58 00.85 88 89 85.09 00.70 6483 60.98 6b26 64.28 01 .1-1 80 90 65.82 61.38 65.55 (-1.1.7 65.28 61.95 05.01 62.24 90 91 66.55 a 08 66.28 62.35 66.01 1.2. 04 62.93 91 92 • 17. IS I..'. 74 67.01 88.04 I,'! 33 92 93 88.08 1,3. 43 63.72 07. 4., 64.02 07. IS 01 31 93 94 64.11 8441 68.19 01.71 67.90 85.00 94 95 »,'.». IS 01 7'.» OB. 80 85.09 03. « 0.1. :<«» (X. I,'.' 65.69 95 96 70.21 65.47 aQ.9Q 65.78 o-.i. i.l 0«; OS 69.35 M, -M 96 97 ID. 94 00. i;, 7(11,-, 60.46 70 30 00. 77 70.07 67.08 97 08 71.67 60.84 71.38 87. 1.1 71.09 07. 40 70.79 67.77 98 99 72.40 67.52 72.11 87, s:; 71.81 68-15 71.51 tls 4i i 99 100 73.14 88.88 72. M 8&ta 72.54 68.84 69.15 100 § Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. 1 5 47°. 46H°. 46tf°. o 95 TV.5I.K t.-TRVVEKSE TABLE. 0 44°. 44J40. •14 'A 44^°. 45°. O 1 Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. ! 1 0. 72 0.69 0.72 0.70 0.71 0.70 0.71 0.70 0.71 0.71 i -' 1.41 1.39 1.43 1.40 1.43 1.40 1.42 1.41 1.41 1.41 2 •3 2. 1C) 2.08 2.15 2.09 2.14 2.10 2.13 2.11 2.12 2.12 3 1 '2. ss 2.78 8,87 2. 79 2.85 2.80 2.84 2.82 2.83 2.83 4 • > 3.00 3.47 3.58 3. 4'.) 3.57 3.50 3.55 3.52 3.54 3.54 5 4.17 4.30 4. 1-) 4.28 4.21 4.20 4. 22 4.24 4.24 6 7 5.04 4.86 5.01 4.88 4.99 4.91 4.97 4.93 4.95 4.95 7 8 5.75 5.56 5.73 5.58 5.71 5.01 5.68 5.03 5. 06 5.66 8 9 0. 47 (i. 25 6.45 6.28 6.42 <;.:u 6.39 0.34 6.36 0. 30 9 10 7.19 6.95 7. Hi 6.98 7.13 7:01 7.10 7.04 7.07 7.07 10 11 7.91 7.64 7.88 7.68 7.85 7.71 7.81 7.74 7.78 7.78 11 12 8.63 8.34 8.00 8.37 8.50 8.41 8.52 8.45 8.49 8.49 12 13 9.35 «J. 03 '.).:; i 9.07 9.27 9.11 9.23 9.15 If. 1'J 9. 1!) 13 14 10.07 9.73 L0.03 9.77 9.99 9.81 9.94 9.86 9.90 9.90 14 15 10.79 10.42 10.74 10.47 10.70 10.51 10. 65 10.50 10. 61 10.01 15 If. 11.51 11.11 11.46 ll.H, 11.41 11.21 11.86 11.20 11.31 11.31 16 i: 12. a 11.81 1 •_'. 1 s 11.80 12.13 11.92 12.07 11.97 12.02 12.02 17 18 12.95 12.50 12. 89 12. 50 12.84 12.02 12.78 12.67 12.73 12.7:: l,s lit 13.07 13.20 13.01 i:;. 20 13.56 13.32 13.49 13. 38 13. 44 13.44 19 2.1 M.:!«J 13.89 14.33 13. 90 14.27 14.02 14.20 14.08 11. 14 14.14 20 21 15.11 14.59 15.04 14. 65 14.98 14.72 14.91 14.78 14.85 14. 85 21 22 15. S3 15.28 15.76 15.35 15.69 15.42 15.02 15.49 15.56 15.50 2.5 Hi. 54 15.98 16.47 10.05 10.40 10. 12 16.33 10.19' 1(1.20 10. 20 23 2J 17.20 to. 67 17.19 16.75 17.12 16.82 17.04 10. 90 10.97 10.97 24 25 17.98 17.37 17.91 17.44 17.83 17.52 17.75 17.60 17. 08 17. OS 25 26 118.70 18.06 18.62 IS. 1 J 18.54 18. 22 18.46 18.30 18.38 18.38 26 27 19.42 18. 76 19.34 18.84 19.26 18.92 19.18 19.01 19.08 19.09 27 28 120. 14 19.45 20.06 19.54 19.97 19.63 19.89 19.71 19.80 19. SO 28 29 2').St; 20.15 20.77 20. 2 1 20.68 20.33 20.60 20.42 20.51 20.51 29 30 21.58 20.84 21.49 20.93 21.40 21.03 21.31 21.12 21.21 21.21 30 31 22.30 B.ffl 22.21 21.63 22.11 21.73 22.02 21.82 21.92 21.92 SI 32 23.02 22. -'.'j 22. 92 22.33 22. S2 22.43 22.73 22.53 22.63 22. 63 32 33 2:1.74 22. 02 23.64 23.03 23.54 23.13 23. 44 23.23 23. 33 23.:::: 33 ::i 24.40 23.62 24.35 23.72 24.25 23. S3 24.15 23. M 24.04 24.04 34 25.18 24. 31 25.07 M.42 24. 96 24. 53 24.86 24. 04 24.75 24.75 35 36 25. '.»;> 35,01 _'.->. 71) 25.12 25. 68 25.23 25.57 25. 34 25.46 25. 40 ::o 37 2ii.i a 25. 70 25.82 36.38 25.93 26.28 26.06 20. 10 26.16 37 38 27. 33 26.40 27.22 27.10 26.63 26.99 20. 75 26. 87 26.87 K 39 28.05 27.09 27.94 27:21 27. 82 27.34 27.70 27. 40 27.58 27. 5S 19 40 28.77 27.79 2.s. 05 27.91 2s. 53 28.04 28.41 28.16 28.28 IN. :. 31.95 32.95 32. 10 32.81 32.24 32.67 32. 3S 32.53 32. 53 46 47 33.81 32.65 H3. 67 32.80 33.52 32.94 33. 3s 33. 0!) 33.23 3:;. 23 47 48 34.53 33. 34 u. 3s 33. 49 34.24 34.09 33.79 33.94 48 49 35.25 34.04 35. 10 34.19 34.95 34. SO 34. 50 34.66 49 50 35.97 34.73 35.82 34.89 35.66 35.05 35.51 35.20 35.36 35.36 50 8 Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I P 40°. 45»r- 45' _'. 45J4°. 45°. .2 Q 96 TABLE 4.-TK\VKUsi: TABLK. 0 44°. 44*°. Wi 44Ji° 45°. 0 £. - I Lat. Dep. Lat. Dep. Lat. Dep. Lat. Dep. Lat. I 51 36. 69 35.43 36.53 35.59 36.38 35.75 36.90 36.06 36.06 51 '37. 41 37.25 37.09 30. 45 36.61 30.77 52 37.80 37.15 37.48 .".7. 4S 53 17.61 37.68 38.52 38.35 38.02 38.18 38.18 54 88.21 38.38 3S.55 39.06 38.89 38.89 55 88.90 10.11 19.01 39. 94 3'.). IV, 39. 77 3!». 42 39. CO 56 57 |41.00 89.60 10. S3 39.77 40. 00 40.48 40.13 40.31 40.31 57 58 41.72 40. IN 40.47 41.37 40. 05 41.19 40.83 41.01 41.01 58 40.98 41'. I'll 41.17 42.08 41.35 41.90 41.54 41.72 41.72 59 CO 43. 1C, 41.68 41.87 42.80 42.05 42. f] 42. 24 42. 43 4.'. 4:; 00 01 »::. ss 42.37 43.69 42.57 43.51 42.76 43. 32 42.94 43.13 43.13 61 62 44.1.0 43.07 44.41 43. 26 44.22 43. 40 44.03 43. 84 02 63 43. 70 45.13 43.96 44.93 44.16 44.74 44.55 44. 55 63 64 44.46 45.84 44. 66 45. 05 44. 80 45.45 45.06 45. 25 4:,. 25 64 (>5 40. 70 45.15 10. 50 45.36 46.36 45.56 40.10 45. 70 45.96 65 66 47.28 40.05 47.07 4(5. 87 40. 40 46.67 40.67 00 (.7 47.99 47.79 47.58 47.17 47. :« 47.24 48.71 47.45 48.50 47. 06 48.29 47.87 18 (.9 47.93 48.15 48.36 49.00 48.58 4s. 7!» C9 70 50.35 48.63 50.14 48.85 49. 93 49.06 49.71 49.28 49.50 70 71 49.32 50.86 49.54 50.64 49.76 50.42 49.99 50.20 50.20 71 7'2 50.02 51.57 50.24 51.35 50.47 51.13 50.69 511. 91 50. y i 72 73 *, > .',] 50.71 50.94 52.07 51.17 51.84 51.39 51.62 51. G2 73 74 51.40 53.01 51.64 52.78 61.87 52. 55 52.10 74 75 52.10 52.33 53.49 52.57 53. 26 52.80 53.03 7f> 76 52.79 It 44 53.03 54.21 53.27 53.97 53.51 53.74 70 77 55.39 53.49 55.16 53.73 54.92 53.97 54.68 64.21 54.45 77 78 -,«.. 11 54.18 55.87 54.43 55. (3 54.67 55.39 54.91 55.15 55. 15 78 54.88 56.59 55.13 50. 35 55.37 50.10 55.86 79 80 57.55 55.57 57.30 55.82 57.06 56.07 56.81 56.32 80 81 58.27 56.27 58.02 56.52 57. 77 56.77 57.53 57.03 57.28 57.28 81 82 58.99 50.96 58.74 57.22 58.49 57. 17 57.73 82 83 67.66 59.45 59.20 58.18 58.95 83 84 60.42 58.35 60.17 59.91 ;",S. >S 69.66 69. 1 1 :,'.>. 40 M 85 a. 14 59.05 60.89 59.31 60. 03 5'.». -ix 60.37 59.84 CO. 10 59.74 .1.10 Ml.l'l 11.34 60.28 61.08 60.81 86 60.44 62.32 60.71 62. 05 60.98 61.79 61.25 61.61 01.13 63.03 (,1.41 62.77 61.68 61.95 M) iM.irj 62.38 j\'j IK) '14.74 64.47 62.80 64.16 (.3. O.s 63.92 63. 30 63.64 90 91 65.4T. 63.21 65.18 63.50 64.91 63.78 04. r:j 91 r.4. 20 04. 77 92 65.47 93 65.30 67.05 94 (7. 70 66.69 68.47 67.29 §8. is 96 69.19 07. '.-» 68.89 68. .'.' 97 68.06 ox. ::s 68.69 69.60 • is. '.»<) cans 70.31 70. 00 70.00 99 71.93 69.47 71.63 70.09 71.0.' 70.40 100 I Dep. ut Dep. Dep. 1 5 46*. «•• 45H'. 45». P 41479—10 7 (J7 TABLE .>.-rOKKECTION OF ERROR IN STADIA WIRE INTERVAL. Distance in chains. 0193456 89 10 Error in Links. 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 0.0 0.3 0.6 0.9 1.2 1.5 1.8 2.1 2.4 2.7 3.0 0.0 0.4 0.8 1.2 1.6 2.0 2.4 2.8 15. L' 3.6 4.0 0.0 0.5 .0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 0.0 0.6 .2 1.8 2.4 3.0 3.6 4.2 4.8 5.4 6.0 0.0 0.7 .4 2.1 2.8 3.5 4.2 4.9 5.6 6.3 7.0 0.0 0.8 .6 2.4 3.2 4.0 4.8 5.6 6.4 7.2 8.0 0.0 0.9 .8 2.7 3.6 4.5 5.4 6.3 7.2 8.1 9.0 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 •0.0 1.1 2.2 3.3 4.4 5.5 6.6 7.7 8.8 9.9 11.0 0.0 1.2 2.4 3.6 4.8 6.0 7.2 8.4 9.6 10.8 12.0 0.0 1.3 2.6 3.9 5.2 6.5 7.8 9.1 10.4 11.7 13.0 0.0 1.4 2.8 4.2 5.6 7.0 8.4 9.8 11.2 12. (i 14.0 0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 0.0 1.8 3.2 4.8 6.4 8.0 9.6 11.2 12. S 14.4 16.0 0.0 1.7 3.4 5.1 6.8 8.5 10.2 11.9 13.6 15.3 17.0 0.0 1.8 3.6 5.4 7.2 9.0 10.8 12.6 14.4 16.2 18.0 0.0 1.9 3.8 5.7 7.6 9.5 11.4 13.3 15.2 17.1 19.0 0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0 20.0 0.0 2.1 4.2 6.3 8.4 10.5 12.6 14.7 16.8 18.9 21.0 0.0 2.2 4.4 6.6 8.8 11.0 13.2 15.4 17.6 19.8 22.0 0.0 2.3 4.6 6.9 9.2 11.5 13.8 1C. 1 18.4 20.7 23.0 0.0 2.4 4.8 7.2 9.6 12.0 14.4 16. 8 19.2 21.6 24.0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 0.0 2.6 5.2 7.8 10.4 13.0 15.6 UL2 20.8 23.4 26.0 0.0 2.7 5.4 8.1 10.8 13.5 16.2 18.9 21.6 24.3 27.0 0.0 2.8 5.6 8.4 11.2 14.0 16.8 19.6 22.4 25.2 28.0 0.0 2.9 5.8 8.7 11.6 14.5 17.4 20.3 23. 2 26.1 29.0 0.0 3.0 6.0 9.0 12.0 15.0 18.0 21.0 21.0 27.0 30.0 Distance in chains. 10 11 12 13 14 15 16 17 18 19 2O Error in links. 1 0 1. 1 1.2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 g.6 3.8 4.0 3.0 3.3 3.6 3.9 4.2 4.5 4.8 5.1 5.4 5.7 ti.O 4.0 4.4 4.8 5.2 5.6 6.0 6.4 6.8 7. 2 7.6 8.0 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 6.0 6.6 7.2 7.8 8.4 9.0 9.6 10.2 10.8 11.4 12.0 7.0 7.7 8.4 9.1 9.8 10.5 11.2 11.9 I2L6 13.3 14.0 8.0 8.8 9.6 10.4 11.2 12.0 12.8 13.6 14.4 15.2 10.0 9.0 9.9 10.8 11.7 12.6 13.5 14.4 15.3 16.2 17.1 18.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 is.o 19.0 20.0 11.0 12.1 13.2 14.3 15.4 16.5 17.6 18.7 19.8 20.9 22.0 12.0 iai 14.4 15.6 16.8 18.0 l-.i.li 20.4 21.6 22.8 24.0 13.0 113 15.6 16.9 18.2 19.5 20.8 22. 1 23. -1 24.7 20.0 14.0 l.V I 16.8 18.2 19.6 21.0 22.4 23.8 25.2 26.6 •JV 0 15.0 K,. :, 18.0 19.5 21.0 22.5 24.0 25. 5 27.0 2S. •> 30. 0 16.0 17.6 19.2 20.8 22.4 24.0 25.6 , 27.2 28.8 30.4 32.0 17.0 IK. 7 20.4 22.1 23.8 25.5 27.2 28.9 30. r, 32.3 34.0 18.0 19.8 21.6 23.4 25.2 27.0 28.8 m o 32. -I 34.2 30. 0 19.0 20.9 22.8 24.7 10.6 28.5 30.4 32.3 31. 2 30. 1 38.0 20.0 22.0 24.0 26.0 2X.O 30. 0 32.0 34.0 3*;. o 38.0 40.0 21.0 23.1 25.2 27.3 29.4 31.5 33.6 .r.. 7 39.9 42.0 22.0 24.2 20. 4 28.6 3d. s 33.0 K 2 1:7. -i 3'.i. I1. 41.8 44.0 23.0 25.3 27.6 29.9 32.2 34.5 ::". 1 41.4 43.7 46.0 24.0 20. 4 2V s 31.2 ai.o 86.0 $8. l 40.8 43.2 45.6 48.0 25.0 27.5 32. 5 37.5 40.0 42.5 45.0 47.5 50.0 2«,.o 28.6 31.2 33.8 30. 4 39.0 41.6 44.2 46.8 49.4 52.0 27.0 •JO. 7 32.4 35.1 37.8 40.5 43.2 45.9 48.6 51.3 54.0 28.0 30. X 33. r, 36.4 3'.». 2 42. 0 44.8 47.6 50.4 53.2 56.0 29.0 31.9 34. s 37.7 40.6 43.5 46.4 49.3 52.2 55.1 58.0 30.0 33.0 36.0 39.0 42.0 45.0 48.0 51.0 54.0 57.0 60.0 TABLK 8.-STADIA COEFFICIENTS, VERTICAL ROD. Cos»o and H sin 2v. 0° 1- 2° 3° 11 or. Diff. dist. elev. Hor. Diff. dist. alev. I lor. Diff. dist. eiev. Hor. Diff. dist. elev. 0 2 4 6 8 .0000 .0000 .0000 .0006 .0000 .0012 .(XKH) .0017 .0000 .0023 .9997 .0174 .9997 .0180 .9997 .0186 .9996 .0192 .9996 .0198 .9988 .0349 .9987 .0355 .9987 .0360 .9987 .0366 .9986 .0372 .9973 .0523 .9972 .0528 .9971 .0534 .9971 .0540 .9970 .0546 10 12 14 16 18 .0000 .0029 .0000 .0035 .0000 .0041 .0000 .0047 .0000 .0052 .9996 .0204 .9996 .0209 .9995 .0215 .9995 .0221 .9995 .0227 .9986 .0378 .9985 .0384 .9985 .0390 .9984 .0395 .9984 .0401 .9969 .0552 .9969 .0557 .9968 .0563 .9968 .0569 .9967 .0575 20 22 24 2fi 28 .0000 .0058 .0000 .0064 .0000 .0070 .9999 .0076 .9999 .0081 .9995 .0233 .9994 .0238 .9994 .0244 .9994 .0250 .9993 .0256 .9983 .0407 .9983 .0413 .9982 .0418 .9982 .0424 .9981 .0430 .9966 .0580 .9906 .0586 .9965 .0592 .9964 .0598 .9963 .0604 30 32 34 36 38 .9999 .0087 .9999 .0093 .9999 .0099 .9999 .0105 .9999 .0111 .9993 .0262 .9993 .0267 .9993 .0273 .9992 .0279 .9992 .0285 .9981 .043(1 .9980 .0442 .9980 .0448 .9979 .0453 .9979 .0459 .9963 .0609 .9962 .0615 .9962 .0621 .9961 .0627 .9960 .0633 40 42 44 46 48 .9999 .0116 .9999 .0122 .9998 .0128 .9998 .0134 .9998 .0140 .9992 .0291 .9991 .0297 .9991 .0302 .9990 .0308 .9990 .0314 .9978 .040,5 .9978 .0471 .9977 .0476 .9977 .0482 .9976 .0488 .9959 .0638 .9959 .0644 .9958 .0650 .9957 .0656 .9956 .0661 50 52 54 56 ft .9998 .0145 .9998 .0151 .9998 .0157 .9997 .0163 .9997 .0169 .9990 .0320 .9989 .0326 .9989 .0331 .9989 .0337 .9988 .0343 .9976 .0494 .9975 .0499 .9974 .0505 .9974 .0511 .9973 .0517 .9956 .0667 .9955 .0673 .9954 .0678 .9953 .0684 .9952 .0690 60 .9997 .0174 .9988 .0349 .9973 .0523 .9951 .0696 c+f 0.75 1.00 1.25 0.75 0.01 1.00 o.Dl 1.25 0.02 0.75 0.02 1.00 0.03 1.25 0.03 0.75 0.03 1.00 0.04 1.25 0.05 0.75 0.05 1.00 0.06 1.25 0.08 (c+f) cos v and (c+f) sin v. Natural functions 99 TABLE 6.-STADIA COEFFICIENTS, VERTICAL ROD. Cos2tf and H sin 2v. 4° 5° 6° 7° HOT. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. 0 2 4 6 8 .9951 .0090 . 9951 . 0702 . 9950 . 0707 . 9949 . 0713 . 9948 . 0719 . 9924 . 08C8 . 9923 . 0874 .9922 .0880 .9921 .9920 .0891 .9891 .1040 . 9890 . 1045 .9888 .1051 . 9887 . 1057 .9886 .1062 .9851 .1210 .9850 .121:, .-.IMS .1221 .Us 17 .1226 .9846 .123U 10 12 14 If, 18 . 9947 . 0725 . 9946 . 0730 . 9946 . 07M . 9945 . 07 12 . 9944 . 0748 .9919 .0897 .9918 .0903 .9917 .0908 .9916 .0914 . 9915 . 0920 .9885 .1068 .9883 .1074 .9882 .1079 .9881 .1085 . 9880 . 1091 .9844 .1238 .<>S43 .1243 .9841 .1249 .'.. Natural functions. 100 TABLE 6.— STADIA COKFKN I I.NTS. VI I,II< \l, ROD. Cos'f and J^ sin 2r. 8° 9° 1O8 11° Ilor. Difl. dist. Ilor. Diff. dist. elev. Hor. Diff. dist. elev. Ilor. Difl. dist. elev. 0 2 4 6 8 .9806 .1378 .9805 .1384 .9803 .13*9 .9801 .1395 .9800 .1401 .9755 .1545 .9753 .1551 .9762 .1556 .9750 .9748 .1567 .9698 .1710 .96% .171»i .1721 .171''. .9090 .1732 .9636 .1873 .9634 .1878 .9632 .1884 i .1889 ^7 .1895 10 12 14 16 18 .9798 .1406 .9797 .1412 .1-117 .9793 .ir.'H .9792 . 14LN .9746 .1573 .'i7il .1578 .9743 .1584 .9741 .1589 .9739 .1595 .9688 .1737 .9686 .171:; .9684 .174* .9682 .1754 .9680 .1759 .9625 .1900 .9623 .1905 .9621 .1911 .9618 .1916 .9616 .1921 20 22 24 26 28 .9790 .1434 .9788 .1410 .9787 .1445 .9785 .1451 .9783 .1456 .9737 .1600 .9735 .1606 .9733 .1611 .9731 .ir.17 .9729 .1622 .9678 .17r,-> .9676 .1770 .9674 .177(1 .9672 .17M .9670 .1786 .9614 .1927 ,%12 .1932 '» . 1938 .9T-07 .1943 .9605 .1948 30 32 34 36 38 .9782 .1462 .9780 .1467 .9778 .1473 .9776 .1479 .9775 .1484 .9728 .1628 .9726 .1633 .9724 .1639 .9722 .1644 .9720 .1650 .9668 .1792 .9666 . 17'.»7 .9664 .1803 .9662 .1808 .9660 .1814 .9603 .1954 .9COO .1959 .9598 .1964 .95% .1970 .9593 .1975 40 42 44 46 48 .9773 .1490 .9771 .1495 .9769 .1501 .9768 .1506 .9766 .1512 .9718 .1655 .9716 .1661 .9714 .1666 .9712 .1672 .9710 . 1' ,77 .9657 .1819 .9655 .1824 .9653 .1830 .9651 .1835 .9649 .1841 .9591 .1980 .9586 .1991 .9584 .19% .9582 .2002 50 52 54 58 .97<>4 .1517 .1523 . 9761 . 1528 .1534 .9757 .1540 .9708 .1683 .9706 .1688 .WH .WM . .9700 .1705 .9647 .1846 .9645 .1851 .9642 .1857 .1862 .1868 .9579 .2007 .9577 .2012 .9575 .2018 .9572 .2023 .9570 .2028 GO .9755 .1545 .9698 .1710 .9636 .1873 .9568 .2034 c+f 0.75 1.00 1.25 0. 74 0. 11 0.99 0.15 1.23 0.18 0. 74 0. 12 0.99 ().!>•. 1.23 0.21 0.74 0.14 0.98 0.18 1.23 0.23 0. 73 0. 15 0.98 0.20 1.22 0.25 (c+f) cos v and (c+f) sin v. Natural functions. 101 TABLE 6.-STADIA COEFFICIENTS, VERTICAL HOD. Cosz» and H sin 2v. 12° 13° 14° 15° Hor. Diff. dist. elev. Hor. Diff. dist. t'lrv. Hor. Diff. dist. clev. Hor. Diff. dist. elev. 0 2 4 G 8 .9568 .2034 . 9565 . 2039 . 9563 . 2044 .'.Qil .2050 . 9558 . 2055 . 9494 . 2192 . 9491 . 2197 . 9489 . 2202 .9486 .2208 .9484 .2213 .9415 .2347 .9412 .2352 . 9409 . 2:5 .9289 .2570 30 32 34 36 38 .9532 .2113 .9529 .2118 . 9527 . 2124 .9524 .212'.! .9522 .2134 . 9455 . 2270 . 9452 . 2275 . 9450 . 2280 . 9447 . 2285 . 9444 . 2291 .9373 .2424 .9370 .2429 . 9367 . 2434 .9365 .2439 . 9362 . 2444 .9286 .2575 .9283 .25SO . 9280 . 25X5 .9277 .25! «) . 9274 . 251)5 40 42 44 46 48 . 9519 . 2139 .9517 .2145 .9514 .2150 .9512 .2155 . 9509 . 2100 .9442 .2296 . 9439 . 2301 .9436 .2:51 Hi .9434 .2311 . 9431 . 2316 .9359 .2449 .!»:{.•»«; .2455 .9353 .2460 . 93.50 . 2465 . 9347 . 2470 .9271 .2600 . 9268 . 2605 .2010 .921.2 .2615 .9259 .2620 50 52 54 56 58 .9507 .2166 .9504 .2171 . 9502 . 2176 .9499 .2181 . 9497 . 2187 . 9428 . 2322 .(HIT, .2327 .!U23 .2332 . 9420 . 2337 .9417 .2342 .Wl.l .2475 .9312 .2 ISO .!i3:«» .2485 .!):{::<; .-Ji'.io .9333 .219:, . fr.MO . 2625 . 9253 . 2030 . 9249 . 203.1 .9246 .2010 .9243 .2645 GO . 9494 . 2192 .9415 .2347 . 9330 . 2 .100 . 0240 . 2650 e+f 0.75 1.00 1.25 0. 73 0. 16 0. 98 0. 22 1.22 0.27 0. 73 0. 17 0. 97 0. 23 1.21 0.29 0. 73 0. 19 0.07 ().L'f> 1.21 0.31 0. 72 0. 20 0. 96 0. 27 1. 20 0. 34 (c+/) cos v and (c+/) sin v. Natural functions. 102 TABLE 6.-STADIA COEFFICIENTS, VERTICAL ROD. Cos*t> and H sin 2t>. 16° 17° 18° 19° llor. Diff. dist. elev. llor. Diff. dist. elev. TTor. Diff. dist. elev. Hor. Diff. dist. elev. / 0 2 4 0 8 .9240 .2650 . 'fj.<7 . 2055 .9234 .2059 .9231 .26:i .8979 .3028 .8886 .3147 .8882 .3151 .8878 .31.56 . 8875 . 3160 .8871 .3165 40 42 44 •Hi 48 .9177 .2748 .9174 .27.72 .9171 .2757 .9168 .2708 .9105 .2767 .9079 .2892 . 9076 . 2896 . 9072 . 2901 .9069 .2906 .9066 .2911 .8976 .3032 . 8972 . 3037 .8969 .3041 .8965 .3046 .8961 .3051 .8867 .3169 .8864 .3174 .8860 .3178 .8856 .3183 . 8853 . 3187 50 a 54 60 58 . 9161 . 2772 . 9158 - •J777 . 9155 . 2781 .'.H.Y_> .2788 .9148 . 2791 .9062 .2915 .2920 . 9055 . 2925 . 9052 . 2930 .9048 .2934 .89.58 .3055 . 8954 . 3060 .8951 .3065 . 8947 . .W>9 .8944 .3074 .8849 .3192 .8845 .3196 .8841 .3201 .8838 .3205 .8834 .3209 GO . 9145 . 2796 . 9045 . 2939 .8940 .3078 .8830 .3214 «+/ 0. 75 1.00 1.25 0. 72 0. 21 0. 96 0. 28 1.20 0.36 0.72 0.23 (I. !>:, 0.30 1.19 0.38 0.71 0.24 0.95 1. 19 0. 40 0.71 0.25 0. 94 0. 33 1. 18 0. 42 (c+f) cos t; and (c+ft sin r. Natural functions. 103 TABLE A.— STADIA COEFFICIENTS, VERTICAL ROD. Cos^ anil Yi sin 2v. 20° 21° 22° 23° Hor. Diff. dist. elev. Hor. Dili. dist. elev. I lor. Diff. dist. elev. Hor. Diff. dist. clcv. 0 2 4 (i 8 .8830 .3214 .8826 .3218 .8823 .3223 .8819 .3227 . 8815 . 3232 .8716 .3346 .8712 .3350 . 8708 . 3354 . 8704 . 3359 .8700 .3363 .8597 .3473 .8593 .3477 . 8589 . 3482 .8585 .3486 . 8580 . 3490 .8473 .3597 .8^69 .3001 .8465 .3605 .S461 .360!) .8457 .3613 10 12 14 16 18 .8811 .3236 .8808 .3241 . 8804 . 3245 . 8800 . 3249 .8796 .3254 .8696 .3367 . 8692 . 3372 .3376 . 8684 . 3380 . 8680 . 3384 .8576 .3494 . 8572 . 3498 . 8568 . 3502 .8564 .3507 .8560 .3511 .4463 .3617 .8448 .3621 . 8444 . 3625 .8440 .3629 .8435 .3633 20 22 24 2f> 28 .8793 .3258 .8789 .3263 .8785 .3267 . 8781 . 3272 .8777 .3276 .8677 .3389 . 8673 . 3393 .8669 .3397 . 8665 . 3401 .8661 .3406 .8556 .3515 . 8552 . 3519 .8548 ..-1523 .8544 .3527 . 8540 . 3531 .8431 .3637 .8427 .3641 .M23 .364') .8418 .3649 .8414 .3653 30 32 34 30 38 .8774 .3280 .8770 .3285 .8766 .3289 . 8762 . 3293 .8758 .3298 .8657 .3410 .8653 .3414 .8649 .3418 .8645 .3423 .8641 .3427 .8536 .3536 .8531 .3540 .8527 .3544 . S523 . 3548 .8519 .3552 .8410 .3657 .8406 .3661 . 8401 . 3665 . 8397 . 3669 .8393 .3673 40 42 44 46 48 .8754 .3302 .8751 .3307 .8747 .3311 .8743 .3315 .8739 .3320 .8637 .3-131 . 8(533 . 3435 . 8629 . 3440 .Mi-.Ti .3444 .8621 .3448 .8515 .3556 .8511 .3560 . 8507 . 3564 .8502 .3568 .8498 .3572 . 8389 . 3677 .8384 .3f'SO . 8380 . 3684 .8376 .3688 .8372 .3692 50 52 04 58 .8735 .3324 .8731 .3328 . 8727 . 3333 . 8724 . 3337 .8720 .3341 . 8617 . 3452 .8613 .3457 .8609 .3161 . 8605 . 3465 .8601 .3469 . r»76 .8490 .3580 .8486 .8482 .r,xo .s|77 .3593 . 8367 . 3606 .8363 .3700 . 8359 . 3704 .&354 ..'57ns .8350 .3712 CO .8716 .3346 .8597 .3473 .8473 .3597 .8346 .3716 c+f 0,78 1.00 U,25 0. 70 0. U6 n.'.u 0.35 1.17 0.44 0. 70 0. 27 0. 93 0. 37 1.16 0.46 0. 69 0. 29 0.02 o. :;s 1. 15 0. 48 0. 69 0. 30 0. 92 0. 40 1.15 0.50 (c+f) cos v and (c+f) sin v. Natural functions. 104 TABLK «.~STM»II COEFFICIENTS, VKKTICAL ROD. Cos-v and ^ sin 2c. 24° 25° 20° 27° Hor. DifT. dist. plov. Ror. Diff. elev. Hor. Diff. dist. elev. Hor. Diff. dist. elev. 0 2 4 6 8 .8340 .3710 .8341 .3720 .8337 .3723 . 3727 .8328 .3731 .8214 .3830 .8209 .3834 .3838 .3841 .8190 .8078 .3940 .8074 . 8069 . 3947 .8065 .3951 .8060 .3954 . 7939 . 4045 .7934 .4049 o .4052 . 7925 . 4055 .7920 .4059 10 ia 14 Hi is .8324 .37:W . :r:«» .3743 .8311 .:<747 .8307 .3751 .8192 .3849 .8187 .3853 .8183 .3856 .8178 .3860 .8174 .3864 .8055 .3958 .8051 .3961 .8046 .3965 .8041 .3969 .8037 .3972 .7915 .4062 .7911 .4066 .7906 .4009 .7901 .4072 . 7890 . 4076 20 24 26 H .8302 .3754 .8298 .3758 .8289 .3706 .8285 .3770 .8109 .aS67 .3871 .S100 .3875 .8156 .8151 .3882 . 8032 . 3976 .8028 .3979 .8023 .3983 . 8018 . 3986 .8014 .3990 . 7892 . 4079 .7887 .4082 . 7882 . 4080 . 7x77 . 40S9 . 7873 . 4092 30 32 34 M 38 . 8280 . 3774 .8777 . 8272 . 37S1 .8263 .3789 .8147 .3886 .8142 .3889 . 8138 . 3893 .8133 .3897 .8128 .3900 .8009 .3993 .8004 .3997 .8000 .4000 .7995 .4004 . 7990 . 4007 H .4096 .7863 .4099 . 7858 . 4102 .7854 .410(5 . 7849 . 4109 40 4-2 44 « 48 .8258 .3793 . 8254 . 3790 .3800 .8241 .8124 .3904 .Ml!) .3908 .8115 .3911 .8110 .MI5 .8106 .3918 .7986 .4011 . 7981 . 4014 .7976 .7972 . 7967 . 4024 .7844 .4112 .7839 .4110 .7834 .4119 > .412-2 .7825 .4120 sd 54 50 58 . 8230 . 3M 1 .3819 .8101 .3922 .8097 .3920 .3929 .8087 .3933 .8083 .3930 .7962 .4028 .7958 .4031 . 7953 . 4035 .7948 .4038 . 7!M I . 4042 I . 4129 .7x15 .4132 i .4135 .4139 1 .4142 GO .8214 .3830 .8078 .3940 .4045 .7796 .4145 c+f 0.75 1.00 L28 0.31 0.91 0.41 1.14 0.68 0.32 0. 90 0. 43 1.13 0. 67 0. 33 0.89 n. r. IIJ 0.56 0.66 0.89 1. 11 (c+f) cos v and (c+f) sin v. Natural functions. 105 TABLE 7.— NATURAL SINES AND COSINES. 0° 1° 2° 3° 4° Sine. Cosiii. Sine. Cosin. Cosin. Sine. I'osin. Sine. Cosin. 0 .00000 . 01745 . 03490 .99939 . 05234 . 06976 .91)75(1(10 1 .00029 One. .01774 .999x4 .03519 . 9993s . 052(13 . 99S61 . 07005 . 91)754 59 •J .00068 One. .018M . 03548 . 99937 . O.Y2'.I2 . 99xiu>. .01978 .9:19x0 .03723 . 99931 . 0.14C.6 . 99851 . 07208 . 99740 52 j one. .02007 .93980 .03752 .99930 . 05495 . 99849 . 072:;7 .9973851 10 .00291 One. .02036: .99979 . 03781 . 99929 .05524 . 99847 .072. >6 . 99736 50 11 .00320 . 99999 .0201..-) .99979 . 0.3810 .99927 . 05553 . 99846 .07295 .99734 m 12 .02094 . 9'.).>7x .03839 . 99926 . 05582 . 99844 .0732! . 997;<1 ix 13 .00378 .02123 .99977 .03868 . 9992;i .0561] .99842 .07353 . 99729 47 U ..»'.) .022t,«) .99974 . 04013 . 99919 . 05756 . 99834 .07498 .9971942 1!) .00553 . 9999H .n.'J'.ix .99974 .01012 .99918 .05785 . 99833 . 07.127 .99716 41 JO .00582 . 99998 . 02327 . 99973 . 04071 . 99917 .05814 .99831 . 07556 .99714 40 •21 .00611 .99998 . 02356 .99972 .04100 .99916 ,05844 . 99829 . 075S5 . 99712 39 •2-2 .00040 .99998 .02385 .99972 .04129 . 99915 . 05873 . 99827 .07(114 . 99710 38 23 .00669 .99998 .02411 . 99971 . 04159 . 99913 . 05902 . 99826 . 07(143 . 99708 37 12 1 . OOU9S .99998 . 02443 .99970 .04188 .99912 . 05931 .99824 .07(172 . 9970.-. 36 25 ,00727 .99997 . 02472 . 99969 .01217 .99911 .05960 . 99X22 . 07701 . 99703 35 26 . 00756 . 99997 . 02501 .99969 .04216 .99:)!0 . 019X9 . 99821 .07730 . 99701 34 27 .007S.1 .99997 . 02530 .99968 .0127.-. ,06018 . 99819 . 07759 . 99699 33 28 .00814 .99997 .02560 .99967 .04304 .999: 17 . 0(1047 .99817 . 07788 . 996S6 32 _".) .00844 .99996 .02589 .04333 . 99906 .06076 .99815 .07817 31 30 .00873 .99990 .026181 .99966 .04362 .99905 .06105 . 99813 . 07846 .99692 30 :'-! .00902 .9999., .026171 .99965 . 04391 .99904 ; 66134 .99812 . 99CX9 29 32 .00931 .9999(1 .99964 .0(120 . 99902 .06163 . 99810 .07904 . 99687 28 33 .00960 . 99995 .04449 .99901 .01.192 .99808 . 07933 . 996S5 27 :;i . 99995 . 02734 .99963 . 04478 .99900 .0(1221 .99806 . 079»12 . 99683 26 :;•) .01018 . 02763 .9996*2 . 04507 .08250 .99804 .07991 .99680 25 36 . 01047 . 99995 . 027'.I2 .99961 . 0453(5 . 99X97 .OH'279 .HUM 1:5 .08020 24 37 . 0107(1 .99994 .02821 .99960 . 04565 . 99X9t; .OT.30X .99x01 .08049 . 99(171 23 38 .01105 .99994 .02S.-.U . -.r.uv.i . 04594 .99894 .06337 . '.l.»7'.i'.i . OX07X . 99(173 22 39 .on:;i .99959 .04623 . 99X93 .06366 .99797 .OM07 .99(171 21 10 ,01164 .99993 .02906 .99958 .04653 .99892 .06395 . 99795 .08136 20 tl .01193 .99993 . 02938 .99957 .04682 .99890 .06421 . 99793 .osia5 .99666 19 12 .01222 .99993 .02967 .99956 .01711 .99888 . 99792 .0X1 '.14 18 43 .01251 . 02996 . 04740 .99888 . 064X-J .99790 .08223 .99861 17 11 .01280 . 99:192 .03028 .04769 .08611 .99788 .08252 . 99059 Ml i:, .01308 .99991 .03054 .99953 . 04798 . 99XX.-, .06540 .99786 .0X2X1 .99657 15 46 .01338 .99901 .03083 .04827 . 99X.3 .06569 .99784 .0X310 . '.«'. Hi.', 4 1 1 47 .99991 .03112 .04856 .99882 .06598 . 997x2 .0X33'.) .'.('.)( ;.r.2 13 is .01396 .99990 .03141 .99951 .Olxvl .99881 .06827 .99780 ,,S .!»'.)(; HI 12 i'.t .01426 .99990 .03170 .99950 .04914 . 99879 .06666 . 99778 . 0X397 . 99(1 17 11 60 .01454 . '.>•;»•. (V.I .03199 .99949 .04943 .99878 .06685 .99776 .0X12(1 .99644 10 :»] .01483 .98888 .08388 .mm .04972 . 99X71, .06714 .98774 .08481 .99642 9 :,2 .01513 .80888 .03257 .99947 .05001 .08743 .0:»7 72 .08484 .91M.39 S 63 .01543 . W.ixx .03286 .98941 .08030 .99873 . 06773 .99770 .08513 . 99.137 7 :,t .01*71 . 9.I9VX .03316 .98948 .05069 .06802 .99768 .08542 .99635 (1 5.1 .01000 . !i nx7 .03848 .88944 .06088 .98870 .06881 .99766 . 08571 . 99(132 6 .V, .01628 .88987 .05117 .06860 .99764 .08(500 . 9'.«i:;o 4 .-,7 .01668 .03403 .06146 .99762 . 99»,27 3 .IS .01687 .98888 .99941 .06178 .98866 .06918 .99760 .08658 . 99.,2.", 2 68 .01716 .99888 .03461 .06208 .06947 .99758 .08687 .99622 1 00 .01745 . '.M-..V. .03490 .98938 .05234 . 997.V1 . 08716 .99619 0 Cosin. Sine. Cosin. Sine. Cosin. Sine. Bine. Cosin. Sine. f 89° 88° •87° 86° 85° 106 TAM1.K 7. NVTIRU. SINKS VN!»7ls 49 12 - .994L5 : .99211 13 .99412 .12.^12 .99208 .14292 .16017 47 1 i .09121 .90409 .99204 .16044 .98704 46 15 .09150 . 99406 .12020 . 14349 .98700 16 • .99578; .10916 . 994(r> . 12<'>49 .99197 . 1 T.7- • Ml "3 .98695 .10945 .99399 . 12678 .99193 .1-4407 .16132 .98690143 is .99396 .1270t'. .90 iso .111:11; .16160 10 • .11002 . 99393 . 127:;.-, .99186 . llir.i .98948 .OVf.sl ll 99567 .11031 .99390 .12764 .99I.S2 .1119:; .16218 il . 00324 . .11060 .12793 .9917s .14522 22 .99383 . 1 2V22 .0917", . 1 1.-..11 .16275 13 , .1111S .99380 .12851 .14580 04 .00111 .11147 . 99377 . 12.SM) .99167 .16333 .11178 .99374 .12908 .99163 .98923 27 •' ! 11234 .99370 . 993(17 . 12937 .99160 . 146W .16419 29-09 .11263 .11201 . 99364 . 12' "0 .13024 .99148 .14723 .147-72 .98910 . K1447 .16476 30 .no-.s.-, .11320 . 130"M .90144 . 14781 31 .0 .11340 . 903.-.4 .13081 .99141 .14810 32 -" 1 137 > .13110 .99137 .11107 .13139 .11436 .13168 . 14896 3.1 • f»72'i .11465 . 13197 . lr>r, is 36 . .11494 . 14'01 . 1C>*'»77 ."Mix .14982 .08871 . 132V! .99114 .1/iOll 30 .0 .13312 .99110 .99511 .11609 .13341 .99106 . l.'jIHiO 41 .00003 .13370 .15097 .11667 .99098 .15126 43 -' .99094 . 1. -,!.-.-, -II .09! .99310 .134:,r .99091 .15184 .13485 •17 .10077 . 1 17s--: .11812 1 ]S |<) f-i .: •ISM ni' . 17107 .98526 9 .11956 .98621 s .11985 .88616 7 ."t . .12014 . "V,l ' 6 .88008 6 56 .12071 .88601 4 67 a 2 1 60 * 0 Cosin. Cosin. Sine. || Cosin. Sine. 84° 83° 88° 81° |! 80° KIT TABLE 7. -NATURAL SINES AND COSINES. 10° 11° 12° 13° 14° / Sine. Cosln. Sine. Cosln. Sine. Cosin. Sine. Cosin. Sine. Cosin. 0 .17365 .98481 .19081 .98163 .20791 .97815 .22495 .97437 .24192 .9703060 1 . 17393 .98476 .19109 . 98157 .20820 .97809 . 22523 .97430 . 2 1220 .9702:579 2 . 17422 .98471 .19138 . 98152 .20848 . 97*03 .22552 . 97424 24249 .9701558 3 .17451 .98466 . 19167 .98146 .20877 .97797 .22580 . 97417 . 24277 . 97008 57 4 . 17479 .98461 . 19195 .98140 .20905 .97791 . 22608 .97411 . 24305 .9700156 5 .17508 .98-155 . 19224 .98135 .20933 .97784 . 22637 .97404 .24333 .9(199475 8 .17537 .98450 . 19252 . 98129 . 20962 .97778 .22665 . 97398 . 24:5(12 .96987 54 7 . 17505 .98445 .19281 .98124 .20990 .97772 .22693 .97391 . 2C590 .96080 53 8 . 17594 .98440 .19309 .98118 . 21019 .97766 . 22722 .97384 .24418 .91,97:5 52 D . 17(12:5 . 9S4:« .19338 .98112 . 21047 . 97760 . 22750 . 97378 .21111 .9(, 9(1(1 7 1 10 . 17051 . os4:«) .19366 . 98107 . 21076 . 9775-1 . 22778 .97371 .21171 .96959 50 ll .17680 .98425 . 19395 . 98101 . 21104 . 97748 .22807 . 97365 . 24503 .06952 19 12 .17708 .98420 .19423 . 9S096 .21132 .97742 . 22835 .97358 .24631 18 13 . 17737 .98414 .19452 .98090 .21161 .97735 . 22SI1H . 97351 .24559 .9(1; «7 47 14 .17766 .98409 . 19481 . 9SOS 1 .21189 .97729 .22892 .97345 .24587 .96030 10 15 . 17794 .98404 .19509 .98079 .21218 .97723 .22920 .97338 .24615 . 90923 15 16 . 17823 .9S399 .19538 .98073 .21246 .97717 . 22948 .97331 .24644 . 96916 14 17 . 17852 .98394 .19566 .98067 .21275 .97711 . 22977 .97325 .21(17-' .96909 13 IS .17880 .98389 . 19595 .98061 .21303 . 97705 .23005 .97318 . 24700 .9(1902 12 19 .17909 .98383 . 19623 .98056 .21331 .97698 . 23033 .97311 . 24728 .96894 11 20 . 17937 .98378 . 19(1.72 .98050 .21360 . 97692 .23062 . 97304 .24750 .96887 10 21 .17966 .98373 .19680 .98044 .21388 .97686 .23090 .97298 .24784 .96880 W 22 .17995 .98368 . 19709 .98039 .21417 .97680 .23118 .97291 .24813 IS 23 .18023 .98362 . 19737 .98033 . 21445 [97673 .23146 .97284 . 24841 .96866 57 21 .18052 .98357 .19766 .98027 .21474 .97667 .23175 .97278 . 2 4SH9 .96858 ;o 25 .18081 .98352 . 19791 .98021 . 21502 .97C.(il .23203 . 97271 . 24897 .96851 57 26 .18109 .98347 . 19823 .98016 .21530 .9765S . 23231 .972(11 .24925 .91 IS 14 M 27 . 18138 .98341 .19851 .98010 .21559 .970 IS . 23260 . 97257 .24954 .96837 53 28 .1816(1 .98336 .19880 .98004 .21587 .97042 .23288 . 97251 . :.' I'.is-j 29 .18195 .98331 .19908 . 9799S .21616 . 97r,:5i ; .23316 . 97244 . 25010 .9682231 80 . 18224 . 98325 .19937 . 97992 .21644 .97630 .23345 . 97237 .25038 .96815 :io 31 .18252 .98320 .19965 . 97987 . 21672 . 97623 .23373 .97230 .25066 .96807 29 32 . 18281 .98315 .19994 . 97981 . 21701 . 97617 . 23401 . 97223 .25094 .96800 28 33 .18309 .98310 .20022 . 97975 .21729 .97(111 . 23429 .97217 .25122 .96793 27 34 .18338 .98304 .20051 .97969 .21758 . 97604 .23458 .97210 .25151 . 9(17S(i 2(1 85 .18367 .98299 .20079 .97963 .21786 . 97598 .23486 .25179 . 9077S 25 86 .9X291 .20108 . 9797S .21814 .97592 .23514 .97191; . 2.-)2()7 .90771 21 37 .18424 .98288 . 20136 . 97952 .21843 .97585 . 23542 .97189 . 272:57 . 9(17(11 23 3S .18452 .98283 .20165 . 97946 . 21871 . 97579 . 23571 .97182 .25263 .9(177(122 89 .18481 . 9X277 .20193 .97940 .21899 .97573 .23599 .97176 .2.7291 40 .18509 .98272 .20222 . 97934 .21928 .975<;<; .23627 .97169 .25320 . 96742 20 41 .18538 .98267 .20250! .97928 .21956 . 97560 .23656 . 97162 . 25348 .9673419 42 .18567 .98261 .20279 .97922 .21985 .97553 .23684 .97155 .25376 .9(1727 IS 43 .is-,9; .9S27<' .20307 .97916 .22013! .97547 .23712 . 97148 .25404 .9(1719 17 41 ! 1X021 .98250 .20336 .97910 .22041 .97541 .23740 .97111 .25432 .9(1712 Hi 45 . 18652 . 98245 .20364 . 97905 .•-'-'D70 .97534 . 237(19 .97134 .25460 .9(170717 46 . l.xiiM .OS'.' tO .20393 .97S99 . 2209S .97528 .23797 .97127 .25488 .96697 14 47 .1S7K . 9S2H4 .20421 . 97s:t:5 .22126 .97521 . 23825 .97120 .25516 .'.ir.i;<. in 1:5 48 .18738 .98229 .20450 .97887 .22155 . 97515 . 2:5S7:5 .97113 .25545 . 9fll,S2 r_> 49 . 18767 . 98223 .20478 .97881 .22183 .97508 . 23VS2 . 97106 . 2.777:; .9067511 60 .18795 .16218 .20507 . 97875 .22212 .97502 .38910 .97100 .2M01 .96667 10 :,l .18824 .98212 .20535 . 97869 .22240 . 97496 . -j.ms .97093 .25629 .96660 9 52 .18852 .98207 .20663 .•7863 .22268 . 97 IX'.I .28966 .97086 . 271,77 8 M . 1X.XSI .98201 .20592 .97857 .22297 . 2:5997 . 97079 .25685 .9(1(117 7 64 .18910 .OsiiM .20620 .97851 . 22325 .97476 .24023 . 97072 .25713 .96638 (1 M .UttC .9S|!»0 .20640 .97845 . 22:57:5 . 97470 . 24051 .97065 .25741 .96630 5 H .18167 .9MX7 .20677 ,97463 . 24079 .97058 . 25769 .96623 4 67 .18004 .?)S 17!) .20706 . 97S:>:5 .22410 .97457 .24108 . 97051 . 2779S .96015 3 68 .19024 .08174 .20734 . 97*27 .22438 .97450 .24136 .97044 .25826 .91 MIS 2 60 .19052 .98168 . 20763 .97821 .97444 .24164 . 97037 .2.7S71 . mm 1 at .19081 . 98163 .20791 .97815 . 22 197 .97437 . 24192 .970:-!i) . 2 .WJ .96593 0 Cosln. Sine. Cosln. Sine. Cosin. Sine. Sine. Cosin. Sine. 79° 78" 77° 76° 75° 108 TABLK 7. -NATURAL SINKS AND COSINES. 15° 16° 17° 18° 10° Sine. Sine. ('..sin. Sine. 1 Cosin. Sine. Cosin. Sine. Cosin. 0 .85882 . 2/.V.4 . 96126 .29237 .95630 .80002 .06106 .32557 .0466260 .24010 .' .96118 . 95622 .80029 .06097 . :IL'-M .94542 • a > .96110 .95613 .30957 .06088 a .80985 .06079 . 32639 57 •i .25994 .•_'7ii7«i .96094 .06606 .31012 . 95070 . 94514 '56 5 .27704 .08086 . 29376 . «.».-,.>s .31040 .95061 . :vji«i4 .94504 55 0 .08647 .27731 .06078 .20404 . . 2'.»x-:-.« .0644J .31510 .04906 . 33161 . 9.I342 is .96417 .28201 . 95940 . 2'.»x7ti .95433 .31537 .94897 . 33189 . 94332 37 .96410 . 2M'34 .95931 .29904 . 95424 .31565 . «MVSS . 33216 . 94322 36 .06402 .95023 . i*«»:rj .95415 .31593 . 94S7S .33244 . 94313 35 . UWJ4 .28290 . 95915; .20060 .95407 .31620 .94869 .33271 .94303 34 27 .26640 .2831? .06007 .20087 .95398 .31648 .04801 . 94293 33 .28346 .05898 .30015 . <).MV.) .31(17- .«.MS51 .33326 32 .06371 .95891 .80043 .05380 .31703 . 94S42 .83353 31 .96363 .28402 .95882 .30071 .95372 .31730 .94832 .33381 . 94264 30 31 .!'• .7 ."••-' .96355 .28429 .3009S .95363 . 3175S . 94VJ3 .33408 .94254 29 .06347 .28457 .95865 .30126 .95354 .3178(3 .94814 . 33436 .06340 .95857 .30154 . 9.5345 .31813 . n-:sor .33463 .94235 27 .06332 .2851: . U.-.s-J-. .30182 . SI.M.-57 .31841 . 94795 . :j:54-.« . 94225 26 .06824 .28541 .06841 .8020) .95328 .31868 .04784 .33518 .28561 .95332 .30237 .95319 .81801 .94777 .33545 24 157 .L'ii'J-l .06308 . 2S.7..7 . .26048 .96301 .2862E .95816 .30292 .95301 .31951 .94758 .33600 .06203 .28662 .05807 .80321 . y.-,-j'.tt .31979 . <|.|7-','. .94176 21 .vSu ,28081 . y:,7ii'. .3034S . <>f..N4 .32006 .94740 .33655 11 .27iK{_ .06277 .28708 .06701 .30376 .95275 .32034 .94730 .33682 . 94157 19 .06261 . 2879 .80403 .94721 .33710 .94147 IS .30431 .04712 .33737 . 94137 17 .0826! . LN7!)_ .30459 .82114 .94702 .33764 .1)4127 16 •>:. .2714- .06241 . _'v.Sj( .3048( .321* . :«7'.»-. .9411815 .08238 .30514 .05231 .88811 .04108 14 .06234 . 288H .06741 . 80642 . 95222 .82101 . :«x-:i .04008 13 .0822 .28903 . 95732 .30570 . :e.'27 .04088 12 4U .UT'J.'iJ .96214 .28031 . 0672 .80607 .06204 .88001 . 'J..L1H . BM .95715 .30625 .32282 .94646 .33929 . U-JlHis 10 51 .1' .961M .28987 .30653 .06186 .321001 .'.M«'a: .3395T .91088 9 .80891 17 .94627 .8808! .94049 8 . .sonx .84011 .94089 7 .30731 .05160 .32392 .94609 .34038 .94029 .95C73 .30763J .951501 .32419 . . 340GT .94019 .307 .94009 . .95656 .80S! ;_>474 .94580 .84121 .93999 .34147 .93089 .0466 . '.».;'.0 CO .27504 .9612t> .2m .00831 .30902, .95106|| .32557 . 94.Y.. .8420: .91981 0 / Cosin. | Sine, j Cosin. Sine. Cosin. Sino. Cosin. Sine. Cosin. Sine. , 74" 73' 72« 71- 70° 109 TABLE 7.-NATURAL SINES AND COSINES. 1 20° 21« 22° 23° 24° / Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. 0 .34202 .93909 .35837 .93358 .374(11 . 92718 .39073 .92050 . 4I.H17-1 .91355 00 1 . ;t:;av.i . 93348 . 37488 . 92707 .39100 . 9247 . 36704 .93021 . 38322 .92366 . 3992X .'.«n;s: . 41522 . 90972 28 33 .35102 . 93(i37 . 36731 .93010 .38349 .92355 .39955 .91071 . 41549 .90! HiO 27 34 . 35130 .93626 . 36758 .38376 .92343 . 39982 .91001 .41575 26 35 .35157 . 3H7X5 . 929XX .38403 .923:>2 .4000 . 92762 .92096 .40567 .91402 . 42156 . 900X0 4 r,7 .92751 .920X5 . 40591 .91390 . 42183 3 K . 93I57! 1 .37-107 .92740 .'.ijo7:i .40621 .91378 .42209 .90665 2 89 .92729 .39046 . 92IX1J .40647 . 91366 . 42235 1 60 . 85837 .92718 . :;"07:i 1 . 42262 .90631 0 Cosin. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. 69* 68° 67° 66° 65° 110 TABLE 7.— NATURAL SINKS AND COSINES. 25° 16 80 Sine. Cosin. .WMl .'.NMilx 4 .42.;i.,' 0 .42420 7 .42446 12 . B57S .48804 • 4'f::)7 ! 42708 .42736 .42762 . 427SX .42X1.-, .49841 .42867 . 42V)4 .42'. (20 .43077 .43104 .43130 . 43156 .43182 .43209 .43313 .4: WO '. 43362 '. 43 14:. ! 486M .436.x,) .4370. . 437:U ! 437X;, .4881] . 4:;x37 Cosin. Sine. 64° .'.H1.V.4 .!«I.->X2 .90.-,','.' .'MI.V.7 .!*>.-> V. .!M>.T,2 .!tO.V20 .90507 .90495 .<«'4.x; .90470 .'MM.-.X .90446 .904:;:; .90421 .!*>4"x .!»03!)0 .90383 .90371 .«««.>% .!Hi34', . 1(033 4 .90321 .men;. .'.nrj-si .!*i271 . 90240 .'.« >•_'*: .90221 .!)020x .90196 .!«)1X3 .90171 . 90158 .'Mil 46 .90133 .90120 .'.minx .9009') .900x2 .90070 .'.MM 14.-, .90019 .'.HXMI7 .S'.HMiX .X'X.:,., . V.KM3 .88906 . S'lx.rj . X9X79 .43863 .43816 .43968 . 44020 .44098 . 44124 .441.-,! .4417; .4420:} . 442.".. . 442.-..-, .442X1 .'44307 .44333 .44359 .44385 .44411 . 44437 . 44404 . 44516 . 4456.x . 4 4.'.! M .44646 . 44072 . 44724 .44750 . 44776 .44X0-2 44854 .445* Hi . 44932 . 44958 .44984 . 4.-,ulii .45088 .4:,1 14 .46140 .vs.-,} .89841 .89816 .89803 .89739 .80726 .S'.i7!3 ,X!I7.K> ,S'IOx7 .S'.MiT4 .X!M^,2 .88636 .89610 . v.».v.«7 . vt/,32 ..VM02 .89363 .89387 ,v.":.24 . v»2V2 ..v.2.V.i .89246 .89232 .4 .7JI x .89193 . 4.V24:; .4;,2i'.-.t .89167 .46295 .89153 .4.-M2! .sill 4( i 03a 27 .46800 .46503 .45529 .45554 .45580 .45806 . 45632 .45658 .45684 .45710 .45762 .45813 . \:&-,-i .45866 .46891 . 45917J . 4.7.142 .48968 .45994 .460201 .40040 .86074 .80061 .,VMI4» .V.H>:;.-, .VMI-Jl .S'.MMIX 88822 .46175 .40201 .4««i)j . 40433 .46458 .4653C .46561 .46613 ss7'.».-, SX7X2 .SS76x sS7-,r, SX741 88728 sx7i:. 88701 88688 N.X67 1 88661 xxr,t7 88634 .xsiyn .4f-i'.«i .46716 .46844 .40x70 .46896 88566 88553 .88526 .KX.-.I-J 88486 .88446 .88417 .88404 62° 98 MIH-. Coeln ,46947 ,46973 . #w .47^50 . 47*70 .47101 ,47127 . 47178 .47204 . 4722!) ,4r:;oo . 4740«.» .47-;u> .47486 .47511 . 17537 . 47">02 .47588 .47614 . 47639 . 47690 .47710 ,4774! , 47707 ,47.xl x . 47895 . 47946 ,47971 ,47997 .48175 ,48201 48879 .4X4'::. .4MXI Cosin. Sine. 61 .88213 .88190 .88186 .88158 .88144 .88131 .88117 .88103 .88062 .88006 .87993 .N7!»:.i .87937 . S7M2:; .87900 .87882 .87868 .87798 .87743 .87729 .x77i:- ,87809 .87880 ..X7.MH .87490 .87476 .87462 29 Sin.-. CoMn. .4x4x1 .4x.-rfii '. 48557 . KVO; .48608 ; 4.xo.v.« . 4XHX.J .48735 ! 48811 . 48913 . 4.vi:'.x .48964 .48989 .49014 .4!H)40 . 49065 . 4ihf.M) .49116 . 49141 . 49166 . 4')1!»2 .4!t2i7 .4! 1242 .49318 . 4931)4 .J'.tll'.' .49445 .49470 .4!i:.40 ; 49723 ,49748 . 4'.»7'.'x . 49VJ4 .48890 . 4'n.2 ; . 49-c:, 50000 Sine. TABLE 7.— NATURAL SINES AND COSINES. 3O° 31° 32° 33° 34° Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. I osi:l. 0 .50000 .86603 .51504 .85717 .52992 .84805 .54464 .83867 .55919 . .Xj'.fOl til) 1 . 5002.-, ,86588 .85702 .53017 .83851 2 .60050 .80573 .61554 . XfXiX7 .53041 .84774 .64613 .55968 .82871 58 3 . ax)7»« . SI,.-..-)!) .51579 .85672 .53066 .84759 . ,74.737 •1 .50101 .86544 . 85657 .53091 .84561 .56016 5 .50120 .86530 .51628 . W>42 .53115 . S472S .54586 . S37.SS .56040 6 .50151 .86515 .51653 .85627 .53140 .84712 .54610 . 83772 64 7 .50170 .86501 .51678 .85612 .83164 .84697 .54635 .83756 v .8279053 8 . 50201 . sr>4s<; .61703 .85597 .53189 .83740 .56112 .82773 72 g .50227 .86471 .51728 .5321 ! .84666 .64683 . X372 1 51 10 .50252 .86457 .51753 .85567 .53238 . 84650 .54708 .83708 .56160 .X274J BO n .50277 .86442 . 51778 . Xf,.",l . 53263 . 84635 . 54732 .X3ii'.)2 .88184 . N272 1 n 12 . 50302 .86427 .51803 . s-wttr .53288 .X-Hil'.i . 54750 .83676 . S270S 13 . 50327 . 86413 .51828 .85521 .53312 .84604 .84781 . 50232 .82692 47 11 .50352 . 8U3'.)X .61852 .85506 . 53337 .84588 .54805 it; Ifi .86384 . 51877 .85491 .53361 .84573 . r,4.X2!» .83629 . 502SO 45 10 .50403 .86369!i .51902 .88*71 . 53380 .84557 .54854 .83613 .56305 .82043 11 17 .80428 . sr,3.vi .61927 .85461 .53411 .84542 .54878 .83507 .X2(L'C, 13 18 .50453 .86340 . 51952 .85446 . 53435 .84526 .54902 .83581 .82610 42 19 .50478 .86325 .61977 .S5431 .53460 .84511 .54927 .83505 . r,.7242 . 83350 .82380 28 33 .50829 .86119 .52324 .85218 .53804 .84292 .83340 . S2303 27 34 .50854 .86104 . ,723-1 .x_"J14 IX 43 .51071 .86070 . 52572 .54049 .84135 .Ml 7!! . ;*W2 17 41 .:.ll(il .85956 . :,_'.-,'. 17 .86051 .54073 .77733 .X3ir,3 .82181 16 4," .51121 .88941 .X503." .5409; .84104 .5565; .67001 .8216S 15 4t .51154 .82644 . X702I . 54122 .85681 .S3! 31 .67024 .82148 14 47 .81171 .88911 .82071 .x.m- .54140 .84072 .8311; .57047 .82132 13 .51204 ..-,1171 .84057 .83098 ..',7071 .X21i; 12 4'. .8497 . r»ii<.i.i .MO 11 . S30S2 .8709S .82098 11 3 .01254 .85800 .8274J .84959 ..712201 .84025 ..-,7)1'. . S20.x_ 10 51 .81271 .88861 ..72770 ..SUM: .83050 . 57143 '» 52 . X.VW X 5 .84913 .83017 .67191 .82032 7 54 .51354 . X4S'.I7 .84317 .83962 .65775 .mm .57215 .82015 8 66 ,51371 . s:,7'.i2 .84882 .54342 .83940 .55799 .81999 1 61 .51404 . ;,jw, . S4.SIM ..x:<-.i::i> .87262 ,81982 4 ',7 .-.112! .513'.'! .xwi.i . 57 2 w .81965 I IB .:,! i:,| . K4.X3I .84412 .65871 .8293(3 .67810 .81949 2 a . 51479 . XlS'.'f .544401 .83883 . 81932 1 61 .51504 .85717 .52992 .X4xo: .559191 .82904 .57358 .81915 0 / Cosin. Sine. Cosin. Sine. Sine. Cosin. 1 Sine. Cosin. Sine. 59° 58° 57° 56" 55° 112 TABLE 7.— NATURAL MM s \ M) COSINES. 36° Sine. Cosin .57381 .57405 . 5742.1 . 57453 . 57477 .57501 . 57524 .575-18 . 57572 .57596 . 57619 . ;,7643 .57. ,91 . 57715 .57738 . 57762 . 57786 .57X10 .57833 .57857 .57SX1 .57904 .57928 . 57952 ! 57976 .5X023 .5-0.17 . 5xo70 .5. llx .58141 .56189 .58212 . 5x2x3 .58307 .58330 . 5X3VX .58401 . 5x42." .5851! .58543 .58567 I .81915 .Mxvj .SI sro ..si six .MX3J .MS 15 ..XI 79s .81782 ,81765 .81748 ,81731 .81714 ,M6X1 ..X1664 ,81647 .81631 .81614 ,M597 .81580 ,81563 .M546 ,M53,i ,81513 ,81479 .XI 462 .M4>5 .si B8 .81412 .81395 .,x 137S ..XI 361 .81344 .S1327 .81310 .M259 .81242 .81225 ..x 12<>.x .81191 .81174 .M 157 .Ml 41 .SI 123 .MUM .MO.X9 .X107. ..xlO.V ..XII «.x .MO.'l .sioo! .x(r.:s7 ..x(M7( . MHV .Mf.il'. Cosin. Sine. 54° Sine. Cosin. . 5X77:' .58802 ,58873 5sx'.«; 5x;i20 5S9W 59014 59037 ,59061 a« M 591 dx 59131 59154 59178 ,59248 59272 .593 IX 59342 ,593.0 , 593s9 ,59412 , 59436 . 5945U . 594x2 . 59529 . 59552 , 59576 . 595:* t . 59646 . 59716 .59739 .59X09 ,59856 ,5)x79 . 59<>02 .59949 ,ti0019 .tioolj .60065 . UXI-'.I .61111 .uiir Cosin ..X0902 MKX5 SO.x.,7 ,XIK^; .SOXli, MI7X2 .xi)76/i MI74S 80730 80713 MM, 9., X0679 .S0662 MI614 MM 12 80610 X0593 MI576 80558 80541 ,80524 X0507 , 80472 .80455 . M>4;tx ,80420 ..X0403 . 8U351 . S033-1 .80316 .80382 . SOJ47 . .X0230 . Mil 95 .Ml 17,x .Mil. Ml .Mil 43 . Mil 25 . 80108 .MM KM ..X0073 .MHi5f .80021 . 791 IM ,799ux . 79931 ,7991- .79899 ,79X>1 53° 37 Sine. Cosin. .60I.X2 .00205 : 60228 .(.0251 ...027! .60321 . t*)344 .60367 ,60414 .60437 .604IW .tiO.^N- .(^)529 . 60553 . 60576 .60599 . 6064f> .60714 . 6073.x .60761 . 607X4 . (-OX07 .G0>76 .UM» , 1,0945 , fo.tr.x .HW\ , 61015 , 61061 .610X4 .61107 .61130 .61153 .t.1176 .61222 .61245 ,612.vX .61291 .61314 .61337 .613(0 .61406 .61451 . t,14'.'7 ...1520 .61543 .79864 . 79X4f, . 79X29 .79811 . 79793 .7977t, . 7975s . 79741 . 79723 .7971 Mi .79671 , 79t>53 . 79635 .79618 .79* M) . 795x3 . 79565 . 79547 .79530 . 79512 . 79494 .79477 . 79459 .79441 .79424 . 7941 Hi . 79371 . 79353 .79335 .79318 .79300 . 792X2 . 79264 . 79247 .7922't .79211 . 79193 . 79176 . 7915S .79140 .79122 .79105 .79087 .79069 . 79051 .7'.»o:i3 .79016 38° Sine. Cosin. .78962 . 7X92', ,7x90s .7xv.ll . 7-vs73 . 7x.s;c ,7xs|M .7xx,l Cosin. Sine. 52° ,61566 ,I,15.X9 ,.,1612 .61635 ,6165.x .61681 ,61704 .617211 ,6174<» , 61795 , 61818 , 61841 .61S64 , 61SX7 , 61909 . 61932 .61955 , 61978 ,62001 .62024 , 62046 .6206.) .62115 . G213S .(52160 . (,21 S3 . 62206 . 62229 .62251 .62274 . 62297 .62342 .62411 . 62433 . 62456 . 62479 .62502 .62524 . 62547 625'. 12 62615 62706 ,62728 (.2751 (-2774 . 7S-01 , 7.X7.X3 , 7.X765 , 7874 , 7s729 ,78711 ,7,XI,94 .7X671. , 7.X6.10 .78622 ,78604 ,7X586 . 7s.V)0 .78514 . 7X496 . 7X478 , 78460 .78442 .78424 .78405 , 7S3XV .7X351 .78333 .7X31.-, . 7X297 . 7X279 .78261 .78243 . 7X225 .7.X20C, .7X188 .7X170 .78152 .7813-5 .78116 .78079 . 78061 . 7MI43 . 7MI25 . 78007 . 77970 . 77952 .77934 .7791., .77897 .77879 .77x61 . 77.X43 . 77X24 . 77MM. .777.." .77751 . 777:i3 .77715 Cosin. Sine 51° 39" Sine. Cosin. . (,2932 . 62955 .(,2977 ,.«KK) .6.3022 . 63045 '. 63090 .6311:5 .63135 .63158 .63180 .63203 . 63225 ! 6327 1 ! 63316 . 6333.x .63361 ,6340., .63428 ,63473 , 1 ,3.196 ,6351x , 63540 , 63563 , 635s5 ,63608 ,63630 .63653 ,63675 .63720 . 63742 . t-3765 . (.37X7 .63X11) .63854 .K3-X77 . (.3944 . W.N Mi .(.39X9 .64011 . 64033 . 64056 , 6407X .641U1 ,64123 .64145 .642.M .64256 Sine. 50° 41479—10 8 113 TABLE 7.— NATURAL SINES AND COSINES. 40° 41° 42° 43° 44° Sine. Cosin. Sine. Cosin. Sine. Cosin. Sine. Gosfn. Sine. Cosin. 0 .64279 .76604 .65006 . 7,1471 .60913 . 74314 . 0X200 .73135 . 69406 . 71934'00 1 .04301 .76586 . 0502s . 75452 .00935 .74295 .08221 .73110 . (,9!X7 .71914 .19 2 .64323 .65050 .75433 .66056 . 7427G . 08242 .73090 .09.10X . 71MH5S 1 . 04346 .76648 .65672 .7.1114 .60978 .74250 .68264 . 73070 .69529 .71873 57 4 .G436S .78630 .65694 .75395 .66999 . 0X2X5 . 730.10 . 09549 . 71853 50 a .64390 .76511 . 05710 .67021 .71217 .08300 .73036 . 09570 .71833156 8 .64412 . 76492 .05738 . 75350 .07043 .74198 . 0X327 .73010 . 09591 .71813 .14 7 .64435 . 7(1473 . 05759 .070'-.! .74178 .08349 .72996 .09612 . 71792.13 8 . 61457 . 701.1,1 .05781 .75318 .67086 .74159 . ox:',7( .72976 . 71772 .12 8 .64479 .76436 .05803 .75299 . 07107 . 74139 .08391 . 72957 .69654 .717.12.11 10 .64501 .76417 .05825 .75280 . 07129 .74120 .08412 .72937 . 09075 .71732.10 11 .64524 .76398 .65847 . 7.120! . 07151 .74100 .68434 .71917 .69G9C .71711 !9 12 .64546 .76380 . IMS, HI . 7.12 4 1 . 07172 .74080 . 68455 . 72X97 .09717 . 71091 IS 13 .64568 .76361 . 65891 .75222 .07194 .74001 . 68470 . 72X77 .09737 .71071 !7 M .64590 . 711342 .65913 .75203 . 07215 .74041 .68497 .72857 . 09758 . 710.K 46 15 .64612 . 76323 .65935 .75184 . 07237 .68518 .72837 . 09779 .71031 45 Id . 0 1035 .76304 . 65950 .75105 . 072.1S .74002 . 0X531 .72817 .71010 11 17 .64657 . 702SC. .65978 . 75140 . 072M .OX.If,! . 72797 .09X21 .71590 13 is .64679 . 702(17 .00000 . 75126 .07301 .73903 . 72777 . 09X4_ .71.109 12 19 . 0470] .76248 .66022 . 7.1107 . 07323 . 73944 .68603 . 72767 . 09802 .71.141 41 20 .64723 .76229 .46044 . 75ox> .07344 . 73924 .68624 . 72737 .09883 .7152940 21 . 04740 . 76210 .66066 .75009 . 07300 .73904 .68645 . 72717 .09904 .71508139 22 .64768 .7' 11 '.12 .75050 . 67387 . 73SN5 .68684 . 72097 38 23 .64790 .76173 .66109 .75030 .67409 .73805 .68688 . 72' 17 7 .69044 .7i4t,x:;7 24 .64812 . 76154 .66131 .75011 .07430 .73840 .68709 . 72017 .69961 .71447 30 25 . o is;>4 .76135 . 74992 . 07 1.12 .68730 . 72037 .09987 .714273.1 26 .64856 .7(11K» .66175 . 74973 . 07473 .73800 . 68751 .72617 .70008 .71407 34 27 .64878 .66197 . 74953 . 67495 . 73787 . 68772 . 72.197 . 7002'. .713X1 33 28 .64901 .76078 .66218 . 74934 . 67516 . 73707 . 68793 .72577 .70049 .7130032 29 .64923 .76059 .66240 . 74915 .67538 . 73747 .68814 . 72.1.17 . 70070 . 7131.1 31 80 . 64945 .76041 .(lf,2H2 .74890 .67559 .73728 .68835 . 72.1:;7 .70091 31 .64907 .76022 .66B84 . 74870 .67580 .73708 .68857 .72517 . 70112 .71306129 32 . 649S9 .76003 .or,: KM, .74857 .67002 . 730XX . 0,xs7,x .72497 .70132 .712X1 28 33 .05011 . 759x f .66327 .74838 . 07023 .68899 . 72177 . 70153 .7120427 34 .65033 .75965 .74818 .0701.1 . 730 49 .68920 . 72 i.17 .70174 .71213 26 K .75946 .OH; 171 . 74799 .67666 .73629 . 68941 .72!37 .7019,1 .712232.1 36 .66077 .67688 . 73610 . 68962 . 72 1 1 7 .7021.1 . 71203 24 37 .65100 . 7.190.x .66914 .74760 . 07709 .73590 .68983 . 70231 .71182 23 3x .66122 .66436 .74741 .07730 .73570 . 09004 . 72377 . 702.17 .71162122 39 .66144 . 75870 . 00 4.1S . 74722 . 077.12 .73551 . 69025 . 723.17 . 70277 .71141 21 40 .•KM .75851 .68180 .7170:; . 07773 .73531 .69040 .72337 .70298 .7112120 41 .65188 .75832 .00501 .74083 . 077'. 15 .73511 . 69007 .72317 .70319 .7110019 42 .65210 . 75813 . 74004 .67816 . 73491 .69088 . 72297 .710V IS 43 . 65232 . 75794 .66646 .74011 .67837 . 73472 . 09109 . 72277 .70300 .710.19 17 41 . 7:>77:> .66566 . 07X59 . 09130 . 722.17 .703X1 . 71039 10 46 . 6527(5 .75756 . 741 XX i . 07XNO .69151 . 70401 .71019|15 46 . 75 73x . oooifi .74580 . 07901 .7:: 113 .69172 .72210 . 70122 . 7o'.t'.is 14 47 .65320 .75719 .74567 . 69193 ! 72196 . 70 1 13 .71 ''.17x1:5 4s .75700 . MM .74548 .07:. l! .73373 .0921 1 .72170 . 70403 .70957 12 49 .79680 . OOC75 . 7 I.12X .67966 . 733.13 . 69235 . 721 10 .70484 .70937 11 50 .65386 .75601 .66097 .74509 . 07HX7 . 73333 .69250 .72130 .70505 . 70910 10 u .65408 .75642 .66718 . 74 IX'.i .66008 .73314 . 69277 .72110 .70525 9 52 .66430 .66740 .71170 . OS( )•_».) .7o.1Hi . 70x7.1 8 68 . 0.14.12 . 7.1. KM .66762 .711.1! .6806] . 7327 i .7207.1 .70507 .70855 7 -,l .65474 .75585 . o»;7s.-{ .74481 . 73:.M 1 . 70587 .70834 0 56 .65496 .66806 .74412 .68093 . 73234 .69361 .70608 .70813 5 56 .65518 .74392 .68115 .73215 .69382 .7201.1 . 7002X . 707' i3 4 97 ,66848 . 74373 .73196 .69403 .71991 . 70772 3 58 . 0.1.11 ^2 .60870 .74353 .68157 . 69424 . 71974 .70670 . 7(1752 2 59 .668$U . 74334 .73155 .69445 .70731 1 60 .65606 .75471 .66918 .68200 .73135 .71931 .70711 .70711 0 Cosln. Sine. Cosin. Sin?. Cosin. Sine. Cosin. Sine. Cosin. Sine. ; 49* 48° 47° 46° 45° 114 TABLE 8.— NATURAL TANGENTS AND COTANOKNTv t < )° ! L° ; 8" J i- / Tang. Cotaof. Tan};. Colling. Tang. Cotang. Tang. Cotang. ~o~ .OUCH) luiinitf. .01746 57. 2-.KW .034 '.12 28.6363 .O.VJ41 I'.UIMI 60 .00029 3437. 75 .01775 66.3506 .03521 .06270 18.9765 59 2 .00058 1718.87 .01804 55. 4415 .03650 28.1664 .05299 58 3 .00087 1 1 »:,. '.'_' .01833 54. 5t>13 .03579 27.9372 .06328 1.X7I.7S 57 4 .001 Hi 880.436 .01862 53.7086 .08009 27.7117 .06357 18.6666 56 5 .00145 us7. :M .01891 62.8821 .03638 27.4899 .05387 18.5645 55 1 .00175 572. 957 .01920 .52. 0807 .03»*i7 27.2716 .06416 IS.4.,1.-, 54 7 .00204 491.106 .01949 51.3032 .03696 27.0566 .05445 18.365.5 53 8 .00233 •11".). 7 is .01978 50.6485 26. 8450 .05474 18. 2677 52 9 381.971 .02007 49. 8157 .03764 26.6367 .05503 18. 1708 51 10 .00291 343.774 .02036 49.1039 .03783 26.4316 . 05533 18.0750 50 11 .00320 312.631 .02066 48.4121 .03812 26.2296 .05562 17.9802 49 12 .00349 286.478 .02095 47. 7395 .03842 26. 0307 .05591 17.X.V.3 48 13 .00378 264.441 .02124 47.0853 .08871 26.8348 .06620 17. 7934 47 14 .00407 245.552 .02153 46.4489 .03900 25. 6418 .05649 17.7015 46 15 .00130 L'2l». 1S2 .02182 •4.',. sj-.M .03929 25.4517 .05678 17. 6106 45 16 .00465 214.858 .02211 45. 2261 .03958 25.2644 .05708 17.5205 44 17 .004'Jo 202. 219 .02240 44.t,3S6 .03987 25. 0798 .05737 17.4314 43 18 .00624 190.084 .02269 44.0661 .04016 24. 8978 .05766 17.3432 42 19 .00653 IN). '.»:<-' .02298 43.5081 .04046 24. 7185 .05795 17.2668 41 20 .00582 171.885 .02328 42.9641 .04075 24.5418 .05824 17. 1693 40 21 .00611 163.700 .02357 42. 4335 .04104 24. 3675 .05854 17.0837 39 22 .00040 .02886 41.9158 .04133 24. 1957 .06883 16.9990 38 23 .00669 149. 465 .02415 41.4106 .04162 24. 0263 .05912 16. 9150 37 24 .00606 143.237 .02444 40.9174 .04191 23. S.V.J3 .0.5941 16. 8319 36 25 .00727 137. 507 .02473 40.4358 .04220 23.6945 .05970 16. 7496 35 26 .00756 132. 219 .02502 :«». '.»<•,•>.-, .04250 23. 5321 .06999 16. 6681 34 27 .00785 127.321 .02531 39.6059 .04279 23.3718 .06029 16. 5874 33 28 .00815 122.774 .025tiO 39.0568 .04308 23. 2137 .06058 16.5075 32 29 .00844 118.540 .02589 38.6177 .04337 23.0577 .06087 16.4283 31 30 .00873 114.589 .02619 38.1885 .04366 22.9038 .06116 16.3499 30 31 .00902 110.892 .02648 37.7686 .04395 22.7519 .06145 16.2722 29 32 .00081 107.426 .02677 37. 3579 .04424 22.6020 .06175 16. 1952 28 33 .00000 104. 171 .02706 36.9600 .04454 22. 4541 .06204 16. 1190 27 34 .01 KIM) 101. 107 .02735 315. 5627 .04483 22. 3081 .06233 16.0435 26 35 .01018 98.2179 .02764 36. 1776 .04512 22. 1640 . 0.12«V_> 16.9687 25 36 .01047 06.4806 .02793 3.5.8006 .04541 22. 0217 .06291 16.8943 24 37 .01076 H2. !HK-, . OJX22 86.4313 .04570 21.8813 .0682] 15.8211 23 38 .01105 90. 4633 .02851 35. 0695 .04699 21. 7426 .06350 15. 7483 22 39 .01135 NX. l i:-:c, .02881 34.7151 .04628 21. 6056 .06379 16.6762 21 40 .01164 86.9398 .02910 34.3678 .04658 21. 4704 .06408 15.6048 20 41 .01193 83.8435 .02939 34.0273 .04687 21.3369 .06437 15.5340 19 42 .01222 81. 8470 .02968 83.6985 .04716 21.2049 .06467 15.4638 18 43 .01251 79.9434 .02997 33. 3(i(i2 .04745 21.0747 .06496 15.3943 17 44 .01280 7S. 121 ;3 .08026 33.0462 .04774 20.9460 .06525 15.3254 16 45 .01309 7ii.3'.«H) .03065 32.7303 .04803 20.8188 .06664 15. 2571 15 46 .01338 74.7292 .08064 32. 4213 .OKU 20.6982 .06684 16.1893 14 47 .013117 73.1390 .03114 32.1181 .04863 20.6691 .06613 15.1223 13 48 .01396 71.6151 .03143 3I.M.U-, .04891 20. 4465 .06642 15.0557 12 49 .01425 70. 1533 .03172 3L-.JS4 .04900 20.8263 .06671 14.9898 11 50 .01455 68.7501 .03201 31.2416 .04949 20.2056 .06700 14.U244 10 51 .01484 67. 4019 .03230 8*M99 .04978 20.0872 .06730 1 ». X.V.H-, 9 52 .01513 MI. HI.V, .03269 8a6883 .05007 L9.9702 .06759 14.7954 8 53 .01542 <,». x.X) .03J.XX 80.4116 .06087 19.8646 .06788 14.7317 54 .01571 63.6567 .03317 30. 1446 .06066 19.7403 .06817 14,0685 55 .01000 i,J. 4ii:»J .03346 IN. vxj:{ .06096 19.6273 .06847 14.6069 56 61.3829 29.6246 .06124 19.6156 .08876 1 1 M:N 57 .01068 00.3068 . 03405 .05153 19. 4051 .08906 11. Sx23 58 .01087 69.2669 .03434 2-». r .'-'<> .06182 19.2969 .06934 2 59 .01716 .1HU13 28.8771 .06212 19.1879 .06963 143607 1 60 .01746 67.2900 .03492 28.6363 .05241 I'MMl .06993 14,8007 0 | Cotang. Twf. Coiunr. 'I\II1L'. Cotong. Tang. •ofinc. Tang. 8 9° 8 8* 8 7° 8 B« U5 TABLE 8.-NATURAL TANGENTS AND COTANGENTS. 4« 5' 6° 7° Tang. Cotang. j| Tang. } ( Tang. Cotun-. I Tang. Cotang. 0 .06993 14. 3007 .08749 LI. 4301 . 10510 9. 51436 .12278 8.14435~ 60 1 .07022 14.2411 .08778 LI. 3919 . 10540 9. 1878] . !i':;ns s. !:.Msl 59 2 •07051 11. 1VJ1 .08807 11.3540 . 11 1.';!'.'.! 9.46141 . 1233S s. lor,:;,-. .58 3 .07080 14. 1235 .08837 11.3163 .10599 9.43.->ir> || .12367 X. OS600 57 4 .07110 L 4. 0655 11.2789 .10628 9.40904 1 .12397 8.06674 56 5 .07139 14.0079 . us,- or, LI. 2417 . 10657 <».3s;;o7 j .12426 & 04756 55 6 .07168 13. 9507 .08925 11. "JIMS .10687 '.i 36724 . i2i:,r, 8.02848 54 7 .07197 13. 8940 .08954 11. 1681 . 107 If. 9.33155 . r.Mv) 8.00948 53 8 .07227 13. 8378 . 08983 11.1316 . 10746 9. 30599 . r.':,ir, 7. 99058 .VJ 1 .07256 13.7S21 .09013 11.0954 . 10775 9.28058 . I'-'.' 14 7.97176 51 10 .07285 13. 7267 .09042 11.0804 . 10SOf> 9. 25530 . r_>:,74 7.95302 50 11 .07314 13. 6719 .09071 11.0237 .10834 9.23016 . 12(')03 7. 9343s 49 12 .07344 .09101 Ki.9s.s2 . 10863 9.20516 7.91682 4.S 13 .07373 13.5634 .09130 10. 9529 . 10893 9. 18028 . r_w_> 7.89734 47 14 .07402 13.5098 . 09159 10.9178 .10922 '.'. L5664 . r.'ti'.rj 7. S7S'.>:> 46 15 .07431 13. 4566 .09189 L0.8829 . 10952 9.13093 .12722 7.86064 46 16 .07401 13.4039 .09218 10. 8483 . Pi:,,! 9. 106-16 . 12751 7. si-J )•_> 44 17 .07490 13. 3515 .09247 10. 8139 .11011 9.08211 . i.'7M 7. SJ4LN 43 18 .07519 13. 2996 .09277 10.7797 . 11040 9. 05789 . !J-IO 7.80622 42 19 . 07548 13. 2480 .09506 10.7457 . 11070 9.03379 .12840 41 20 . <)7.->7s 13. 1969 .09335 10.7119 .11099 9.00983 .12869 7. 771(3:) 40 21 .07607 13. 1461 .09365 L0.6783 .11128 8.98598 . 12S99 7. 752/V1 39 22 .07636 13.0958 .09394 10. 6450 .11158 . l'_);)_".) 7. 73-1H) 38 23 .07665 13.0458 . o9-r.':{ 10.6118 .11187 8.93867 .12968 7.7171.') 37 24 . 07695 12.9962 .09453 10. 5789 .11217 8.91520 .12988 7.69957 36 25 .07724 12.9469 .09482 L0.5462 .11246 8.89185 .13017 7.68208 35 26 .07753 12. 8981 .09511 10. 5136 .11276 8. 86862 . 13047 7. 66466 34 27 .07782 12. 8496 .09541 10. 4813 . 11305 8. 84551 .i:507i; 7. 647:'..' 33 28 . 07812 12.8014 . 09570 10. 4-191 .11335 8. 82252 .13106 7.(ttO»)f) 32 29 .07S41 12. 7536 .09600 10.4172 . 11 :',iit 8.79964 . i:;i::c, 7.61287 31 30 . 07870 12. 7062 .09629 10. 3854 . 11394 S. 776X9 . L3165 7. 59575 30 31 .07899 12. 6591 . (KI6.-.X 10. 3538 .11423 8. 75425 . 13195 7. r,7N72 29 32 .07929 12. 6124 .09688 10.. •;_'_>! .11452 8. 73172 .13224 7.,V,17ti 38 33 .07958 12.5660 .09717 10.2913 8. 70931 .13254 7. 544S7 27 34 .07987 12.5199 .09746 10.2602 .11511 8. 68701 . i::_'xi 7..7JMM; M 35 .08017 12. 4742 .09776 L0.2294 .11541 s. 66.|x-_> . 13313 7.61132 25 36 .(I'M) Hi 12. 4288 .09805 10. 1988 .11570 . 1:531:1 1. 49ii'.:i 24 37 .08075 .09834 Ti. u;x:{ .11600 8.62078 . 1:5372 23 38 .08104 12.3390 .09864 in. I:M .11629 8. 59893 .13402 7.4i>l.',4 22 39 .08134 12.2946 .09893 10.1080 .11659 8.67718 . 13432 7.44609 21 40 .08163 12. 2505 .09923 L0.0786 .11688 s. ;,.-).-,.-,:, . 134(11 7.42871 20 41 .08192 12.2067 .09952 10. 0483 .l!7's 8.53402 . 13491 7. 41240 19 42 .OVJ.M 12.1032 10.0187 .11747 . I :?.-/_' i 7.39616 18 43 .08251 12.1201 .10011 9.98931 .11777 . 13550 7.37999 17 44 12.0772 .10040 9.96007 . llMMi 8.47007 .13680 16 45 .08309 12.0346 . 100159 9.93101 . 11 >: . 12042 7. 23754 8 53 .08544 11.7(11.-, 9.70441 . 12072 7 54 .08673 .10334 . 1LM01 .13876 6 55 .10363 9.64935 .12131 7.19125 5 56 . NI:<:I:I .12160 4 57 .10422 .12190 . 13W.-, 7. KKI71 3 58 .08690 .10452 9.50791 . r_-! Ill 8. 1V.7H .13995 2 59 .08720 .10481 . 1 !":'( 1 GO .08749 [1.4301 .10510 9. 51436 x. ll-i:;:, .14054 7. 11.7:7 0 / Cotang. Tang. Cotang. Tanp. Tang. jjCotang. Tang. 85° 84° 83° j| 82° 116 TABLE «.-\ATli:U. TV\(;i NTs \ M> COTANGENTS. / J r f r 1 0» 1 i3 Tang. Cotang. Cotang. Tun-. Cotang. Cotang. 0 .1-1".-, 4 7.11537 .15838 a 31375 .nais 5.67128 . r.i4::> 5.14455 CO 1 0. 301X9 59 2 .14113 7.08646 .15898 6.20007 5.65205 . r.ii'.s 58 3 .14143 a 27829 .17723 5. f,42-ls 5.12069 57 4 .14173 7. n.V,7'.» 15058 6.26C55 .17753 . i'.i.v,:» 5.11279 56 5 7. 04105 r,. 2.-) is'', .17783 5. U2344 .19589 5. 1USM) 55 6 7.02037 .10017 6. 24321 . 17813 5. 613U7 .19619 5.09704 54 7 . 14202 7.01174 .10047 6.231GO . 17N-13 5.80453 .19049 5.0S921 53 8 .14291 a 9971S a 22003 .17873 5. 5951 1 .10680 5.08139 52 9 .14321 6.98268 .16107 777 . 19S01 5.05037 48 13 . 14440 6. 92525 .18023 5.54851 . l-»x:{l 5,04267 47 14 . 14470 a 91 104 6. 15151 .18053 .-•. .^'.>27 :.. 03 '.'.•'.) 46 15 .14499 6. 896SS 6. 14023 .180S3 5.53007 .19391 5.02734 45 16 . 1 4.-.2H r.. NS27S ,16316 •i. r^w . 18113 5.52090 .19921 5. 01971 44 17 .14559 . IWi ti. 1177'.) .18143 5.51176 .19952 5.01210 43 IS .14588 ti. s.VJV.-) .16376 •;. i<»*;4 . 18173 5. 50204 . 1-.KIV2 5,00451 42 19 .14618 . ni4c.-, 6.00552 .18203 5. 49356 .20012 4. ««;•.».•) 41 20 . 1-ii.ls a 82694 . 16435 6.08444 .18233 5. 48451 .20042 4.98940 40 21 . 1 )'•> 6.81312 . li.-iti.-, 6. 07340 .18203 .20073 4. 981S8 39 22 . 14707 t,. 7-..'.!:;.; .16405 6.00240 . K2.« .20103 4. 9743-S 38 23 . 14737 a 051 43 :.. 1.-.7.-.1 .20133 4. '.«a ••'.«) 37 24 a 77199 .16555 ft. 04051 . l.Nl/W :,. -N--.-7 .20164 36 25 ti. 7 .'.MS .16585 6.029 . 16734 5. 97576 .18534 5.39552 .20345 4.91516 30 31 .14975 i;. r,77s7 .18761 5.96510 .18564 5.38677 .20376 4.90785 29 32 .15005 (,. «n;4iw . 16794 6.95448 . l.x.V.14 5.37805 . 204(Xi 4.90056 28 33 .15034 .16824 & 04390 .2n4:iii 4,80330 27 34 . l.Vl',4 8.63831 . n ;*:,} 5. !cr,5 . IM.:,4 5.36070 188605 26 35 .15094 & 68523 .20497 4.87882 25 36 . 15124 & 61219 .16014 5.01236 .18714 5. 343-15 .20527 24 37 . i:,i:.3 5. 90191 23 3S .16974 5.89151 . 1-7;:, 22 39 . I :,2 13 .17004 5.88114 . KM!.', 5. 31778 185013 21 40 .15243 6.56055 .17033 5.87080 .18835 5.30928 .20648 4.84300 20 41 .17063 .18865 5.30080 .20679 4. S3.YK) 19 42 5.85024 .20700 18 43 . 17123 5.84001 5.28393 .20730 17 44 6.50870 :>. SJ.K2 .20770 4. M-171 16 45 . i.\«ii 6,40710 5.81066 180769 15 46 ii. 4M.V. . 17J13 5,80053 5.25880 .20830 14 47 .15451 .-,. 7'.»'M4 . I'NIIl. 13 48 . 17J73 12 49 .15611 .10106 .20921 4. 77'.'7s 11 50 a 43484 .20952 4.77286 10 51 .20083 4.76595 9 52 . 1.-.UNI 5.20025 176906 8 53 6.39804 . 742:* 5. 739<10 5.20107 .21043 4. 75219 7 54 174534 6 55 :,. i-« MI .21104 4.73851 5 . 75 13 5.71013 4. 73170 4 .21164 172490 3 5, MOM 171813 2 1 60 6,31375 . 17US3 5,67128 170463 0 Cot iing. Tug. Cotang. Tang. Cotaaf. Tang. f 8 1° 8 0° 7 0- I 1 rs° 117 TABLE 8.— NATURAL TANGENTS AND COTANGENTS. f 12° 13° || 14° 15° Tang. ('ohm-. Tang. Cotang. Tang. Cotang. Tang. Cotang. 0 .21256 4.70463 .23087 4.33148 .24933 4.01078 . 26795 3. 7320.-, 1 .21286 4. 09791 .23117 4. 32573 .24964 4.00582 . 26S20 3. 72771 59 2 .21316 4.69121 .23148 4. 32001 . 24995 4. 00080 .26857 3.7233S 58 3 .21347 4. (IS 452 . 23179 4. 31430 . 2 ",020 3. 99592 .26888 3.71907 57 4 . 21377 4. 077X0 .23209 4. 30SOO . 25050 3.99099 . 26920 3.71476 |56 5 .21408 4.07121 . 23240 4.30291 .25087 3.98007 . 26951 3. 71040 55 6 .21438 4.66458 . 23271 4. 21)724 . 25118 3.98117 . 26982 3.70010 54 7 .21469 4. 05797 . 23301 4. 29159 . 251 ('.» 3. 97027 .27013 3. 70188 53 8 .21499 4.65138 . 23332 4. 28595 .25180 3. 97139 .27014 3. 69761 52 9 .21629 4.64480 .23363 4.28032 .25211 3.906.">1 . 27070 3. 09335 51 10 .21560 4.63825 . 23393 4. 27471 . 25242 3.96105 .27107 3.68909 50 11 .21590 4. 63171 . 23424 4.20911 . 25273 3.95080 .27138 3. 6X485 49 12 . 21021 4.62518 . 23455 4. 20352 .25304 3. 95190 .27109 3.08001 48 13 .21651 4. 01 SOX . 234S.") 4. 25795 . 25335 3.94713 .27201 3.67638 47 14 .21682 4.61219 . 235 1 ( i 4. 25239 .25366 3.94232 . 272:52 3. 67217 46 15 .21712 4. 60572 . 23.147 4.24685 . 253:17 3. 93751 .27263 3. 607JM5 45 If. .21713 4. 59927 . 23578 4.24132 .25428 3. 93271 .272'.)! 3. (S0370 44 17 . 21773 4. 59283 . 2360S 4.23580 .25459 3. 92793 .27326 3. 65957 43 18 .21804 4.58641 . 23039 4. 23030 . 25490 3.92316 . 27357 3.65538 42 19 .21834 4.58001 . 23070 4. 22481 .25521 3. 91839 .273X8 3.65121 41 20 .21864 4. 57363 .23700 4. 21933 . 25552 3. 91364 .27119 3. 64705 40 21 . 21895 4. 56726 . 23731 4. 21387 .25583 3. 90890 . 27451 3.64289 39 22 . 21925 4. 56091 . 23702 4. 20842 . 25014 3. 90417 . 274S2 3.63874 38 23 .21956 4.55458 . 23793 4. 20298 .25645 3. 89945 .27513 3.63461 37 24 .21986 4. 54826 .23823 4. 19750 .25676 3. 89474 . 27545 3.63048 30 25 . 22017 4. 54196 .23854 4. 19215 . 25707 3. 89004 . 27576 3.62636 35 26 .22047 4.53568 .23885 4. 18075 . 25738 3.88536 .27607 3. 6222 1 34 27 . 22078 4.52941 . 23910 4. 18137 . 25709 3.XXOOX . 2763S 3.01814 33 28 .22108 4. 52316 . 23940 4.17000 .25800 3. 87601 .27670 3.61406 32 29 .22139 4. 51693 . 23977 4. 17004 . 2.5831 3. 87136 .27701 3. 60990 31 30 .22168 4. 51071 .24008 4. 10530 .25802 3. 86671 . 27732 3.60588 30 31 . 22200 4. 50451 . 24039 4. 15997 .2.5893 3.86208 .27764 3.60181 29 32 .222:51 4. 49832 . 24009 •!. 1.-.IO-, . 25924 3. 85745 .2779.-) 3. 59775 28 33 . 22201 4.49215 .24100 4. 14934 .25955 3.85284 . 27826 3. 59370 27 31 . 222! )2 4.48000 . 24131 4. 1 HO.") . 25986 3. 84824 .27858 3. 589(>0 26 35 . 22322 4. 47986 . 24102 4. 13877 . 20017 3.84364 .27889 3. 58562 25 30 .22353 4. 47374 .24193 4.13350 .26048 3. 83906 .27921 3. 58160 24 37 .22383 4. 46764 .24223 4. 12825 . 2(i079 3.83449 . 27'.»52 3. 57758 23 38 .22414 4. 46155 .24254 4. 12301 .26110 3. 82992 . 279S3 3. 57357 22 39 .22444 4.45548 .24285 4.11778 .26141 3. 82.537 .28015 3. 56957 21 40 . 22475 L 44942 . 24310 4. 11256 . 26172 3. X20X3 . 28046 3.56557 20 41 .22505 4.44338 .24347 4. 10736 .20203 3. 81630 .28077 3.56159 19 42 . 22530 4.43735 . 24377 4. 10216 .26235 3.81177 .28109 3. 55701 IX 43 . 22507 4. 43134 .24408 4. OH',!)!) . 2C,2i;0 3. 80720 .28140 17 44 . 2_'.7i7 .24439 4.09182 .26297 3. S0270 . 28172 3.64968 16 45 .22628 4.41936 .21170 4.08666 .26328 3. 79X27 . 28203 3. 54573 15 40 .22658 4.41310 .24501 4.08152 . 203.V.) 3. 79378 .28234 3.54179 14 47 f. I-I7I5 .24532 4. 07639 .26390 3. 78931 3. 5.<7S5 13 48 .22719 4. 101. VJ .24562 4.07127 .26421 3.78485 . 2X297 3. f>3393 12 49 .227.50 4. 3'. 1500 .24593 4.00010 .26452 3.78040 .28329 3. .53001 11 50 .22781 4.38969 . 24024 4.00107 .26483 3. 77595 .28360 3.62609 10 51 .22X11 4.3X3M .24655 4.05599 .26515 3.77152 .28391 3.52219 9 52 4. 37793 .24686 4. 05092 .26546 3.71.709 .28423 3. 51X29 8 53 . 22872 4.37207 .24717 4. 045X0 .26577 8.76268 .2M51 3.51441 7 54 . 22903 4.: :10T,23 .24717 4.04081 .2X1X6 3. 510.53 0 55 4. 3m 10 . 24778 4. 03578 .26639 3.75388 .2X517 3. fiOW, 5 50 .22904 4.35459 .24809 4. 03076 .26670 3. 74950 .2X519 3. 5027'. » 4 57 . 22995 4. 34879 .24840 4. 02574 .21 ;701 8.74612 . 2s:,sO 3. 49894 3 58 . 230-26 4.84300 .24871 4.02074 . 20733 3. 74075 .2X1 112 3. 49509 2 59 . 2W.V, 4. 33723 .24902 4.01570 3.73640 3. 49125 1 60 . 230x7 4.33148 .210:53 4.01078 .26795 3. 7320.". .28675 3.48741 0 / 'otang. Tanfc Cotang. Tang. Cotang. Tang. 'otang. Tang. 77° 76° 75° 74° 118 TABLE 8. -\\TI II VL TANGENTS AND COTANC! .\|N. 16" 17* 18* 19- Tang. Cotang. Tang. Cotang. Tang. Cotang. Taog. Cotang. 0 .28673 3.48741 .30573 3.27068 .32492 3.07768 .34433 2. '.XJ4J1 CO 1 .28700 3. ix3.v.i ,30000 .32524 3. 074(^4 .34465 2.90147 59 2 . 2x73x :;. 47-.C7 .30637 3.26406 . .TJ.V.I; 3. 07160 .34496 •_'. x'.»N73 58 3 3. 475% .30669 3.26067 . 32.- vs 3. O.ix/,7 .34530 2.89600 57 4 .28800 3.47216 .30700 3. 2.->7L«.t .32621 3.06584 .34563 2. X-J3-J7 56 5 . 2xx3j 3. 4i;M7 . 30732 3. 2.WV2 . 3_",-,3 3. <*;_'.-,_> .34596 2. V.H1.V, 55 6 .28864 3. 4«-.4.->x . 307i,4 3.25055 .32685 3. 059.30 2. S.X7.X3 54 7 . 2XX-.I.1 3.40080 .30798 3.24719 .32717 106649 . 34i*,l 2.88511 53 8 . 2SU-J7 .30828 3. 243*3 . 32749 3. 05349 52 9 . L'S'C.x 3. 45327 .30860 3.24049 3.05049 51 10 . JV.I-.H) 3. 44951 .30891 3. 23714 . 32814 3.04749 .34758 2. 87700 50 11 .29021 .30923 3.23381 .32846 3.04450 . 34791 2.87430 49 12 . •J'.'U->3 3. 1 1-">-> . 31 Rr,-, 3. 2301s . 32x7x 3.04152 2. 87161 48 13 .29084 3. 43829 .30987 . 32U1 1 3.03854 .34856 2.86892 47 14 3. 4345.-.:i .32975 3.03260 2. v:r>t. 45 16 .29179 .31083 121722 .33007 3.02963 . 34954 2.86089 44 17 .29210 3. 42343 .31113 3. 21392 .33040 3.02667 . 34987 •2. x.-,x_>-_» 43 18 .31147 3. 21063 .33072 3. 0_'37J .35020 2. x.V,.V> 42 19 3.41604 .31178 3.20734 .33104 3. 02077 .35052 2. x.ljx'1 41 20 .29305 3.41236 .31210 3.20406 .33136 3. 01783 .35085 2.85023 40 21 .29337 3.40869 .31242 3.20079 .33169 3. 01489 .35118 2. S47.-.S 39 22 3.40502 3. 19752 .3320] 3.01196 .35150 38 23 .29400 .31308 3. MM26 .33233 3.00903 .35183 2.84229 37 24 .31338 3. 19100 . 3.TJM1 3.00611 . 35216 2.83965 36 25 3.39106 |l .31370 3. 1x77') . 3320s 3.00319 .35248 2. X37(>2 35 26 .29495 3.39042 .311ir_> 3. 18451 .33330 3. OiM)2S . 3oLM 2. 83439 34 27 .31434 3. 1M27 . 333.,:! . 35314 2.83176 33 28 .2955S .31466 3.17804 .33395 2.99447 .35346 2.82914 32 29 .29690 3. 37955 .31498 3. 171x1 . 33 )27 2.99158 .35379 2. 82653 31 30 . 2lKi21 3. 37594 .31530 3.17159 .33460 2.98868 .35412 2.82391 30 31 .29653 3.37231 .31562 3.16838 .33492 2.985SO .35445 2.82130 29 32 3. :;ux7.-, .31594 3.16517 .33524 2. 98292 .35477 2.81870 28 33 3.36516 . 3KLT, 3. 16197 .33557 2.98604 .35510 2. 81610 27 34 .29748 3. 15877 . :u>!> 2.97717 .35543 2.81350 26 35 .29780 3.35800 .31690 3.15558 2. 97430 . 35576 •2. x'ln-.M 25 30 3. 354 13 . 31722 3. 15240 .33654 2.97144 .35608 2.80S33 24 37 . 2! ix 13 .317.'.! 3. 1 1922 . 33'. x.; 2.96858 .35641 2.80574 23 38 . 2-.N75 3. 34732 3. l if in:. .33718 •_>. mw3 .35674 2.80316 22 39 .29908 . 33751 2. %2W . 35707 2.80069 21 40 . •.».««:is 3. 34023 .31850 3. 13.'.Mx7_> .35871 2.78778 16 45 .10097 .32010 3. 12400 .33945 2.94891 .35904 15 46 3. 3101 \ [32942 .38978 2.94369 . 35937 14 47 .30160 .32074 3. 1177.') .34010 13 48 .30192 3. 312 Hi 3.11464 .36003 12 49 . 302-24 3.11153 .36035 11 50 . 30J.V, .321 71 .34108 2.93189 .88068 10 51 .30887 3. 30174 .83303 3.10532 .34140 2.92910 .36101 9 52 .30319 3. -."iv-xi .34173 8 53 .30351 3.29483 . :;.'•.'., 7 3.09914 .84205 2.93354 7 5-1 3.29139 3. oorur, . 3 I23X 2.92076 ! 36199 6 55 .30414 3, ->7"-, . 3.1.'3-.» 5 56 .30440 3. 2X4.-.-' 3.08991 .34303 .36265 4 57 .84835 2.91246 . 36298 3 58 .30500 3.08879 2.90971 2 59 .30541 3 nsi.73 .34400 2.90696 1 60 .30578 3.27686 .32499 3 077'. x .34431 190421 . ;>.^'..7 2.74748 0 f Cotang. Tang. Cotang. Tan-. Cotang ; Tang. Cotanp. Tang. 73° 78° | 71° 70° 119 TABLE 8.-NATtTRAL TANGENTS AND COTANGENTS. 20° 21° 22° 23° Tang. | Cotant*. Tang. | Cotang. Tang. Cotang. Tang. Cotang. 0 .36397 2. 74748 . 3X3X6 2.60509 .40403 2. 47509 .42447 2.35585 (0 1 . :;tvi:;o 2. 74499 .38420 2. 602X5 .40436 2.47302 . 424X2 2.35395 59 2 . 364. 7.H7.V, .38520 2.59606 .40538 2.406X2 . 125.v:. 56 5 . 36562 2.73509 . 38553 2. 59381 .40572 2. 46476 .42619 55 6 .36595 2. 732(>3 .38587 2. 59156 .40606 2. 46270 2. 34447 51 7 .36628 2. 73017 . 3X620 2. 5S932 . 40640 2. 11. IMT) . 42C.S8 2.34258 53 8 .30661 2.72771 .38654 2. 58708 .40674 . 42722 2.34069 52 9 .36694 2.72526 . 3XC.X7 2.58484 .40707 .42757 2.33881 51 10 .36727 2. 72281 . 38721 2. 58261 .40741 2.45451 .42791 2. 3: JIM 50 11 .36760 2. 72036 .38754 2.58038 . 40775 2. 45246 .42826 2. 33505 49 12 .36793 2. 71792 . 38787 2.57815 .40809 2. 45043 . 42860 2.33317 48 13 .36826 2.71548 .38821 2.57593 .40843 2.44839 . 42894 2.33130 47 14 .36859 2.71305 . 3XX54 2.57371 . 40877 2.44636 .42929 2.32913 46 15 .36892 2. 71062 . 3XSSS 2.57150 . 40911 2. 44433 . 4291,3 2.32756 45 16 .36925 2. 70819 .3X921 2.56928 .40945 2.44230 .42998 2. 32570 44 17 . :;<;<.t.-,x 2. 70577 .38955 2. 56707 .40979 2. -4 1027 . 43032 2. 32383 43 18 .36991 2. 70335 . 3X-.ISX 2.56487 .41013 2. 43825 .43067 2. 32197 42 19 .37024 2.70094 .39022 2.56266 .41047 .43101 2. 32012 41 20 .37057 2. 69853 .39055 2.56046 . 41081 2.43422 . B136 2. 31826 40 21 .37090 2. 69612 .39089 2.55827 .41115 2. 43220 .43170 2.31641 39 22 .37123 2. 69371 . 39122 2. 55008 .41149 2. 43019 2.31456 38 23 . 37157 2. 69131 . 39156 2.55389 .41183 2. 42819 .43239 2.31271 37 24 .37190 2. 68892 .39190 2.55170 .41217 2. 42618 .43274 2.31086 36 25 .37223 2. 68053 . 39223 2.54952 .41251 2.42418 . 43308 2. 30902 35 26 .37256 2.68414 .39257 2. 54734 .41285 2. 12218 . 43343 2.30718 34 27 .37289 2. 68175 .39290 2.54516 .41319 2. 42019 .43378 2.30534 33 28 . 37322 2. 67937 .39324 2.54299 .41353 2.41819 .43412 2.30351 32 29 .37355 2. 67700 .39357 2.54082 .41387 2.41620 ,43447 2.30167 31 30 .37388 2. 67462 .39391 2.53865 .41421 2.41421 .43481 2.299S4 30 31 .37422 2.67225 . 39425 2.53648 .41455 2. 41223 .43516 2. 29S01 29 32 . 37455 2.66989 .39458 2. 53432 .41490 2.41025 .43550 2.29619 28 83 .37488 2. 66752 .39492 2.53217 .41524 2. 40827 .43585 2. 25)437 27 34 .37521 2. 66516 .39526 2. 53001 .41558 2. 40629 .43620 2.29254 26 35 .37554 2. 66281 . 39559 2.52786 . 41592 2. 40432 .43654 2.29073 25 36 .37588 2.66046 . 39593 2.52571 .41626 2. 40235 .43689 2.28891 24 37 .37621 2.65811 . 39626 2.52357 .41660 2. 40038 . 43724 2.28710 23 38 .37654 2. 65576 .39660 2.52142 . Ht.'U 2. 39841 .43758 _'. 28528 22 39 .37687 2. 65342 .39694 2.51929 .41728 2.39645 .43793 2.28348 21 40 .37720 2.65109 .39727 2.51715 .41763 2. 39449 . 43S2S 2. 28167 20 41 .37754 2.64875 . 39761 2.51502 .41797 2. 39253 .43862 2. 27987 19 42 . 37787 2.64642 . 3!»7'.>:> 2.51289 .41831 2. Wills .43897 2.27X0(1 18 ' 43 .37820 2.64410 . 39VJ9 2.51076 .41865 2.38863 .43982 2.27626 17 44 .37853 2.64177 .39862 2.50864 .41899 2.38668 .43966 •J. 27-1 17 16 45 .37887 2.r,3 .39896 2.50652 .41933 2.3X47.5 .44001 2.27267 15 40 .37920 2.63714 . 39930 2.50440 .41968 2. 3X27<» . !in:;r, 2. 270ss 14 47 .37953 2. 63483 2.50229 .42002 .41071 2. 2i ;«.»()«) 13 48 2. C^2.-)2 . 39W7 2.50018 . 42036 2.37891 . mo:, 2.26730 12 49 ,3802(1 2. 63021 .40031 :'. I'.Kii; . ill'.O 2. 20552 11 50 .38053 2. 62791 .40065 2. 49597 . 4210.5 2. 37504 .44175 2.26374 10 51 ,38086 2.62561 .40098 2. 49386 .42139 2.37311 .44210 2.26196 9 52 .38120 2. 62332 .40132 2.49177 .42173 2.37118 .44214 2. 20018 8 53 .38153 2.62103 2. 48967 . 42207 2.36625 .44279 2.25840 7 54 .38186 2.61874 .40200 2.48758 .42212 . ii:;n 2. 2.->OC3 6 55 .38220 .40034 .42276 2.36541 .44349 •J. IT, IV, 5 56 2.61418 .40267 .42310 2.36349 .44384 2.25309 4 57 .38280 2.61190 .40301 2. 48132 .42345 . 1!l!> 2. 25132 3 58 .38320 2.60063 .40335 2. 47924 2.35967 . 4 f I.-.3 2. 24956 2 59 2.47716 .42413 2. :r.77i; .4 44 XX 2. 24780 1 60 .38386 2.60509 .404(13 2.47509 .42447 •J. .V..-X.-, .44523 2! 24601 0 / Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. / 69° 68° 67° 60° 120 TABLE ft. .-\\TTKU. TWJKNTS VNO (OT\M. 2 *' 1 1 2 5* 2 8- i r Tang. Cotang. Tang. Tang. Cotang. Tang. Cotang. 0 .44823 2. 24004 .46631 2. 14451 2.06030 .50953 .96261 60 1 .44558 2.24428 2.14288 .-ISSW 2.04879 .50989 59 2 .44503 .46702 2.14125 2. 04728 .95979 58 3 2.24077 2.13963 .48881 2.04577 .61063 .95838 57 4 2.23902 2. 13*01 .48917 2.04426 .51090 .95698 56 5 .46808 2. 13639 . 4MI.M 2. 0427(1 .51136 .95557 55 6 •2. -2^-,:^ .46843 •2. i:M77 .48980 2.04125 .51173 .95417 54 7 .44767 2.23378 2. 13316 . 49020 2.03975 .51200 53 8 2.23204 .46914 2.13154 .49062 2.03825 .51246 .95137 52 9 .44837 2.23030 .46950 2.12993 .49098 2. 03675 .51283 .94997 51 10 .44872 •_'. :>Jx-,7 . -:<;'.*.-, 2.12832 .49134 2.03526 .51319 .94858 50 11 .44907 •2. 22ixi .47021 2.13671 .49170 2.03376 .51356 1.94718 49 12 .44042 2.22510 .47056 2.12511 2.03227 . 51393 4S 13 2.22337 . 47092 2.12350 . 49242 2.03078 .51430 1.94440 47 14 .45012 .47128 2. 12190 2.02929 .51407 1.94301 46 15 .45047 .47163 2.12030 . 49315 2.02780 .51503 1.94162 45 16 . i:.0v_> 2.21819 .47199 2.11871 .49351 2. 02f>31 .51540 1.94023 44 17 .45117 2.21047 .47234 2.11711 . 4-..3S7 2.02483 .51577 1.93885 43 18 .45152 2.21475 . 47270 2.11552 .49423 2.02335 .51G14 1.93746 42 19 .45187 2.21304 . 4730:. 2.11392 .49450 2.02187 . 51651 1.93608 41 20 .45222 2.21132 .47341 2.11233 .49495 2.02039 .51688 1.93470 40 21 2.20961 . -17377 2.1107") .49532 2.01891 .51724 1.93332 39 22 .45292 2.20790 .47412 2. 10916 .495G8 2.0174.3 .51761 1.93195 38 23 .45327 2.20G19 .47448 2.10758 .49604 2. 01596 .51798 1.93057 37 24 .4/V'',J 2.20449 .47483 2.10690 .49640 2.01449 . 51835 1.92920 36 25 .45397 2.20278 . :::.i'.i 2. 10442 2.01302 . 51872 L 92782 35 26 .-1/V1-J 2.20108 2.102*1 .49713 2.011") .51909 1.92645 34 27 . 4 .Ml ,7 2.19938 .47590 2. 101 2f> . 49749 2.01008 .51946 1.92608 33 28 .45502 2.10760 2.00069 .49786 2.00Sf>2 .51983 L 92371 32 10 . 4.V-.".S 2. 19599 .47662 2.09811 .49822 2.00715 .52020 1.92235 31 30 .45573 2.19430 .47698 2.09654 .49858 2.00569 .52057 1.93098 30 31 .45608 2. 192f.l .47733 2.09498 .49894 2.00423 .52094 1.91962 29 32 2.19092 2.09341 2.00277 .52131 1.91826 28 33 .45678 2. 18923 .47805 2.09184 .49967 2.00131 .521(58 L 91690 27 34 .-I." 13 2. 1ST", .47840 2.09028 .50004 L 99986 .52205 1.91554 26 35 .45748 •2. I:x .52836 .89966 9 52 ,46348 2.06247 1.07395 ,8W33 8 53 . 4»i:is:i 2.15606 2.06094 .80000 7 54 .46418 . 1x.V,7 2.06942 1.97111 .52947 6 55 2.05790 .59769 L 96969 .52085 . 8873 1 5 5fi .46480 115104 0 2.06637 .50806 L 96827 .88602 4 57 . )••:-•_'.-, 2.1!' UO .-. 2.06485 .50843 .58059 . v, ir,.> 3 58 2. 1 1777 1 2.06333 .50879 2 59 .46595 7 2.06182 1.96409 1 60 .46831 2. 14451 :$ 2.06030 L 96961 .53171 .ssn7.< 0 / ColaiiL' Tmg. £ Taiic. rotang. Tang. Ootaag. Tang. ~7^ 6 «• *, 4' i 6 3* 6 F 121 TABLE 8.— NATURAL TANGENTS AND COTANGENTS. 28° 29° 30° 31° Tang. Co tang. Tang. Cotang. Tang. Cotang. Tang. Cotang. 0 .53171 1. 88073 .55431 1.80405 .57735 1. 73205 .60086 1.66428 60 1 .53208 1. 87941 .55469 1. 80281 .57774 1. 73089 .60126 1. 66318 59 2 .53246 1.S7S09 .55507 1. 80158 .57813 1. 72973 . 60165 58 3 .53283 1. 87677 .5554-) 1. S0034 .57851 1. 72857 .60205 1. 60099 57 4 .53320 1. 8754G .55583 1.79911 .5/890 1. 72741 .60245 1. 65990 56 5 .53358 1.87415 1. 7-.I7SS .57929 1. 72625 .60284 1.65881 55 G .53395 1. 87283 . 55659 1. 79005 .579(18 1. 72509 .60324 L 65772 54 7 . 53432 1.87152 . 55097 1.79542 .58007 1. 72393 . 60364 1.G5GG3 53 8 .53470 1. 87021 .557:50 1.79419 . 58046 1.72278 . 60403 1.65554 52 9 .53507 l.SOS'.tl , . 55774 1. 79290 . 5SOS5 1. 72163 .60443 L 65445 51 10 .53545 1.86760 .55812 1. 79174 .58124 1. 72047 .60483 1. 65337 50 11 .53582 1. 86630 .55850 1. 79051 .58162 1. 71932 .60522 1.65228 49 12 .53020 l.SOl'.Ht . 55SSS 1.78929 .5820] 1.71817 .60562 1. (55 120 48 13 . 53057 1. 86309 .55926 1. 78807 . 58240 1.71702 . 60602 1.05011 47 14 . 53094 1. 86239 .55964 1.78685 . 58279 1.71588 . 60642 1. 64903 46 15 . 53732 1. 86109 .56003 1 78563 .58318 1. 71473 .60681 L 64795 45 10 .53709 1. 85979 .56041 1.78441 .58357 1.71358 .60721 1.64G87 44 17 .53807 1. X5S50 .56079 1.78319 .58396 1.71244 . 60701 1. 64579 43 18 .53844 1. 85720 .56117 1. 78198 . 58135 1.71129 . 60801 1.64171 42 19 .53882 1.85591 .56156 1. 78077 . 58474 1.71015 . 60841 1.64363 41 20 .53920 1. 85462 .56194 1. 77955 .58513 1. 70901 .60881 L 64256 10 21 .53957 1.85333 .56232 1. 77834 .58552 1. 70787 .60921 1.64148 39 22 . 53W5 1. 85204 .56270 1. 77713 .58591 1. 70673 . 60900 1.01011 38 23 .54032 1. 85075 .56309 1. 77592 .58031 1. 70500 . 61000 1. 63934 37 24 .54070 L 84946 .56347 1.77471 .58670 1. 70440 .61040 1. 63821) 36 25 .54107 1.84818 .56385 1.77351 .58709 1. 70332 . 61080 1. KIT 19 35 2G .54145 1. 84089 .56424 1. 77230 .58748 L 70219 .61120 L 63612 34 27 .54183 1. 84501 .56462 1.77110 . 58787 1. 70106 .61160 1. 63505 33 28 .54220 1. 844X3 .56501 1. 76990 . 58826 1.69992 .61200 1. 63398 32 29 .54258 1. 84305 . 56539 1. 76869 .58865 1. 69879 .61240 1. 63292 31 30 .54296 1.84177 .56577 1. 76749 . 5S905 1.69766 . 61280 1.031S5 30 31 .54333 1.84049 .56616 1. 76629 .58944 1. 69653 . 61320 1. 63079 29 32 .54371 1. 83922 .56654 1.76510 .58983 1. 69541 .61300 1. 62972 28 33 .54409 1. 83794 .56693 1. 76390 .59022 L 69428 . 61400 1.02866 27 34 .54416 1. 83607 .56731 L 76271 .59001 1.69316 . 61440 1.62760 26 35 .54484 1.83540 .56769 1. 76151 .59101 L 69203 . 61480 1. 62654 25 30 . 5 J.TJ2 1.S34T3 .56868 1. 76032 .59140 1. 69091 . 61520 L 62548 21 37 .54560 1. 83280 .56846 1.75913 .59179 1. 68979 .61561 1.62442 23 38 .54597 1. 83159 .56885 1. 75794 .59218 1. 688GG .61601 L 62336 22 39 .54035 l.s.",o:>:{ .56923 1. 75675 .59258 1. 68754 .61041 1.62230 21 40 .54673 1.82906 . 56902 1.75556 .59297 1.68643 . 61681 1.62125 20 41 .54711 L 82780 .57000 1. 75437 .59336 1.68531 .61721 1. 62019 19 42 .54748 L82C54 .57039 1. 75319 .59376 L 68419 .61761 L 61914 18 43 1.S2.V2X .57078 L 75200 .59415 1.68308 .61801 L 61808 17 44 .54824 .57116 1.75082 .59454 1. ('-8196 .61842 L 61703 16 45 l.X227ii .57155 L 74964 . 59494 L 68085 .61882 1.61598 15 46 .54900 1. 82150 .57193 1. 74846 . 5'.)5.T, 1.67974 . 61922 l.dl I":1, 14 47 .54938 1. 82025 .57232 L 74728 . f,'.r,73 L 67863 .61962 1.61388 13 48 .54975 L 81899 .57271 L 74610 1.G77.V2 .62003 L. 61283 12 49 .55013 1.M77I .57309 1. 74492 .59651 1.67641 .62043 1.01179 11 50 .55051 1. 81649 .57348 1. 74375 .59691 L 67530 .62083 1.01074 10 51 1. 81524 .57386 1. 74257 .59730 1.67419 . 62124 1. 00970 9 52 1. 81399 .57I-J5 1.74140 .59770 .62104 8 53 .55165 1. 81274 .57461 1. 74022 .59809 i.r,7i'.»s .62204 1.00701 7 54 .5520Q 1.81150 .57503 1.73905 .59819 L 67088 .62245 1. 60057 6 55 .55241 1. 81025 .57541 . f,'.»ssx L. 66978 .62285 1. 60553 5 50 L 80901 .57580 I. 7:51 '.71 .59928 L 66867 . r,232.ri 1.60449 4 57 .55317 L 80777 .57619 1.73555 .59987 1.0(1757 .62360 1.60345 3 58 1. 80s7'..7 l.:..st ;«.).-, i.5M'.m i.-vasx 1.88184 1.57981 1..->7X7'.» 1. 57778 1.57676 1.57575 1 . 57474 1.57372 1.57271 1. 57170 1.57009 I. 1. 1.66767 1.56667 1.66566 1.58366 1.56265 1.56166 i..v a )••.-, l..V,'.«V, 1..V.7M1 L 55660 1.55467 l..Vfc".OS 1.65260 1..V.170 1.56071 l..M'.»72 1..MS7:! 1.54774 L 64675 L 54570 1..-.5I7S 1.54379 1.54281 L 54085 . Tang. 57' 33 ' Tan^r. Cotan-. .64841 .OoOJI .(,.VKM .65106 .(MILS .05 ls<.) .66231 .65272 .66314 .65355 .65397 ,O.YI:>X .o.-> iso .65521 65563 .0.-.004 .65646 .65771 .65813 . 0.\s.VJ .r-arji .66063 .66105 .66147 .66272 .00314 , 60440 ! 06524 .06602 .06734 . 66776 .66818 .60002 . 60944 .67071 .0711:', .67155 .071 '.i7 . 07LVJ .G::r_M .Gr:»«>; .07»lt!i .67451 l.^ftsi, I..Y.KXS i.5:i7'.»i i.5;{tii« 1.53595 1.53497 1.53400 1.5:«irj 1.53205 1.53107 1.53010 1.52913 l./ttsiO 1.52719 1.521122 LoiV-Ti 1.5-J4-J9 1.52332 1.522:;.-. 1. 52139 1.52043 1.51946 1.51850 1.51754 1.51658 1.51562 1. 51466 1.51370 1.51275 1.51179 i.r.ujsf l. 1. 1.50797 1.50702 1.-.IIOM7 1.50512 1. .VM17 1.50322 1.50228 1.50133 1.50038 1. 4-.i-.MI 1. I'.tsl'.l 1.4H7.V. 1.40661 1.49190 1. !'.«*':! I.IS'.HH) L 48722 1. is,, -l L 48530 1. is 112 1.4SJU-.I 1. Cotang. Tang a-l c Tan.u'. . 67451 .074-.« . 07.>7.s .07020 ,07t^.i . 67705 .67748 ,67790 .07S.S2 , 67875 .67917 .67900 ,68845 .tvSKU) .68173 .(KS215 .88881 .68471 .68514 .08557 .68728 .68771 .68814 . (Vs'.t 12 .O'.m71 .69114 .69157 .60286 ,0037] .O'.MIO .60450 .60545 .68631 .60875 ..•,'. i7 is .60761 .00604 .60647 .60801 .70091 1.48163 1.48070 L 47077 1.-17S.S.-, 1.47792 1.47699 1.47607 1. 47514 1.47422 1.47330 1.47238 1.47146 1.47053 1.40'.(.,2 1.46870 1.46778 1.46686 1.46595 1.46.^3 1.46411 1.46320 1.46229 1.40137 1.46046 1.4.-.O.V) 1.4.-.S04 1.45773 1.45682 1.45592 1.45501 1. 45410 1.45320 1.45229 1.45139 1.45049 1.44958 1. 44 SOS 1.44778 1.44688 1.44598 1.44.MN 1.44418 1.44329 1.44149 1.44000 1. i::<.»7o 1.43881 1.43792 1.43703 1. 43614 L ra~;o L. 43347 1. i.;j.\s L 48160 1. i:t('so 1.42002 L 42003 1.42M.-, Cotang. Tang. .-,.-,= :t.V Tang. Cotang. ,70021 .70064 ,70107 ,70151 ,70194 .70238 ,70281 .71 «1V, ,7i«i;s ,70412 ,70455 .70499 ,70542 .7«r,-.-.> ,70673 , 70717 .70760 .7<;sut .7('sjs .70935 .70979 .71023 .71066 .71110 .71154 .71198 . 71242 .71285 .71329 .71373 .71417 .71461 .71505 .71549 .71503 .71637 .71681 .7172.'. .71760 .71857 .71901 .71946 .71990 .72034 .72211 .72255 .72200 .72344 . 7:':;xs .72177 .72568 .72610 i.42sl.-, L 42720 1.42( as L. 42560 1.42H.2 i.42:;7i L4-MUS 1.42110 1.42022 1.41934 1.41847 1.41759 1.41672 1.41584 . 41497 .41409 .41322 .41235 .41148 .41061 .40974 .40887 .40800 .40714 .40627 .40540 .40454 .40367 .40281 .40195 .40109 .40022 .30036 .30850 80764 30670 30503 39507 80421 . :«»-_Y,n .30070 .38894 .38800 . :;sxj i 1.38568 i.:;stxt 1.38399 1.38314 1.37722 1.87638 Tan;'. r,lc 123 TABLE 8.-N VTIKU, TANGENTS AND COTANGENTS. 3 6" 3 7° 3 8° 3 f)° Tang. Cotang. Tang. Cotang. Tang. Cotang. Tang. Cotang. 0 . 72i;:> 4 . 37638 .75355 1.32704 .7S129 1.27994 .80978 1. 23490 60 1 . 71'' '.>'.» ; 75401 L. 32624 .78175 1.27917 L. 23416 59 2 . 7.'7 13 . 37470 . 75447 1.32544 . 7S222 1. 27841 . 81075 1.23343 58 3 . 727NS .37386 . 75492 . 78269 1.2771 1 .Ml 2H 1.23270 57 4 .72832 . 3730'J .75538 1. 32384 .78316 1.27688 .81171 L. 23196 56 5 .72877 .37218 .75584 1.32304 . 78363 1.27611 .81220 1.23123 55 f, .72921 .37134 . 75(129 1. 32224 .78410 1.275M . 81268 54 7 .37050 .75675 1.32144 .78457 1. 27458 .81316 1.22977 53 8 .73010 .36967 .75721 1.32064 .78504 1.27382 . 81364 1.22904 52 9 . 73055 .36883 .75767 1. 31984 .78551 1. 27306 .81413 1.22831 51 10 . 73100 .36800 . 75812 1.31904 .78598 1. 27230 .81461 t. 92758 50 11 . 73144 .36716 .75858 1.31825 .78645 1. 27153 .81510 1.22085 49 12 . 73189 .36633 .75904 1.31745 . 7S692 1. 27077 . 81558 1.22(112 48 13 .73234 .36549 . 75950 L31666 . 78739 1.27001 . 81606 1.225: ',9 47 14 . 73278 . 36466 . 75996 1.31586 .78786 1. 26925 .81655 1. 22-467 46 15 . 73323 1.36383 . 76042 1.31507 . 78834 1. 26849 . 81703 1.22; 191 45 16 . 733C8 1.36300 .76088 1.31427 .78881 1. 26774 . 81752 1.22321 44 17 .73413 1. 36217 . 76134 1. 31348 .78928 1. 20698 .81800 1.22249 43 18 .73457 1.36134 .76180 1. 31269 . 78975 L 26622 . 81849 1.22176 42 19 .73502 1.36051 . 76226 1.31190 .79022 1. 26546 . 81898 1.22104 41 20 .73547 1. 35968 . 76272 1.31110 .79070 1. 26471 .81946 1.22031 40 21 . 73592 1.36885 . 76318 1.31031 .79117 1.26395 . 81995 1. 21959 39 22 .73637 1.35802 .76364 1. 30952 .7911)4 1.26319 . 82044 1. 21886 38 23 .73681 .35719 .76410 1.30873 . 79212 1. 2624 1 .82092 L. 21814 37 24 .73728 .35637 .76456 1. 30795 .79259 1. 26169 .82141 1.21742 36 25 .73771 .35554 . 7C502 1.30716 . 79:50(1 1.26093 . 82190 1. 21670 35 2f, .73816 . 35472 . 7G548 1.30637 .79354 1.26018 . S223X 1.21598 34 27 . 738C.1 . .'K3.V.J .76594 1.30558 .79401 1. 25943 .82287 1.21526 33 28 .7::'.):>r, .35307 .76640 1. 30480 . 79449 L. 25867 . s2:;:',r. 1.21454 32 29 .73951 .35224 .76688 1. 30401 . 79496 1. 25792 . S23S5 1. 213S2 31 30 .73990 .35142 .76733 1.30323 . 79544 1.25717 .82434 1.21310 30 31 .74041 . 35060 . 76779 1. 30244 . 79591 1.25642 .82483 1. 21238 29 32 .74086 .34978 .76825 1.301(1(1 . 79639 1.255(17 .82531 1.21166 28 33 .74131 .3489o .76871 L 30087 . 79686 1. 25492 .82580 L 21094 27 34 .74176 .34814 . 76918 1.30009 .79734 1.25417 .82629 1.21023 26 a5 .74221 .34732 . 76964 1. 29931 .79781 L 25343 . 82678 L. 20951 25 36 .74267 .34650 . 77010 1.29853 .79829 1.2521,8 . 82727 L. 20879 24 37 .74312 .34508 .77057 1.29775 . 79877 1. 25193 . X277H 23 38 .74357 .34487 .77103 L 29696 .79924 1.25118 . S2S25 1.20736 22 39 .74402 .34405 .77149 .79972 1.25044 . 82874 L 20665 21 40 . 74447 .34323 . 77196 1.29541 . MlO-JO 1.249C.9 .82923 1. 20593 20 41 . 74492 . 34242 . 77242 1. 29463 .80067 1. 24895 .82972 1. 20522 19 42 .74538 .34160 . 77289 1.29385 .80115 1. 24820 . S3022 1.20451 18 43 .74583 .34079 . 77335 1.29307 .80163 1. 24746 L 20379 17 •1! .74628 .33998 . 77382 1.29229 .80211 L. 24672 .83120 1. 20308 16 45 .7H.7I .33916 .77428 1.29152 .80258 1. 24597 .83169 1. 20237 15 •Hi .74719 . 33835 .77:;:. 1.29074 .80306 1.24523 .83218 1.2i Mir, 14 47 .74764 .33754 .77521 L. 28997 .80354 L 24449 .83268 1.20095 l:i 48 .74810 133673 . 77.-,i s L 28919 .80402 1. 24375 .83317 L. 20024 12 49 .33592 .77615 L 28842 .80450 1.24301 .83366 K 19953 11 50 .33511 .77861 1.28764 .80498 1.24227 .83415 1. 19882 10 51 . 74940 .33430 . 77708 1.28C87 ,80646 1.24153 .83465 1. 19811 9 52 .74991 .:::',:; 19 . 77754 1.28610 .80694 1. 24079 .83514 1.197H) 8 53 . 75037 .33268 .77801 L. 28533 .80642 1. 24005 1.19669 7 54 .33187 .77848 1. 28456 1.23931 .83613 1. 19599 (i 55 . 75 1 28 .33107 . 77x95 1. 28379 .80738 1. 19528 5 5f. .33026 .77941 1.28302 .83712 1. l'.»<:,7 4 57 . 75219 . 779xx 1.28225 1.23710 .8376J 1. 19387 3 58 . 75204 . .TJX, :, .78035 1.28148 1. 10:; i. i 2 59 .78810 . 327«v-. .78082 1.28071 . 80030 1. 19246 1 CO .75355 .:j27iu .78120 l! 27991 .80978 1.23490 .83910 1. 19175 0 <1iit:il)ir. Tang. rolling. Tang. Cotang. Tang. Cotang. Tang. 5 3° S 2° t 1° 5 0° 124 TABLE K. NVUKVI. T\V,I MS AND (OT\\<;K\TS. 4 0° 4 !• 4 t* 4 3" f Tang. Cotang. Ting. Cotang. Tun.,'. Cohnii:. Tang. Cotang. 0 .83910 . 19175 v:'i_"i .15037 .90040 .11061 . 93252 1.07337 60 1 .88960 .80988 .14909 .90093 .10990 .93308 1.07174 59 2 .84069 .19085 .87081 .14903 .90146 .10931 .93300 1.07112 58 3 .84059 .87083 .14834 .90199 .93115 1.07049 57 4 .84108 .18894 .87133 .90251 . 934(0 56 5 . 1 882 1 . ^71M .14699 .90304 . 10737 .98524 1.06925 55 6 [84208 .18754 .14632 .90357 1.10072 . 93578 1.08953 54 7 .84258 . **7.>7 .'.HUD 1.10,07 .93633 1.08800 53 8 .84307 .1861 t .87338 .14498 .90403 1.10543 .93688 1.06738 52 9 .84857 .18544 . 14430 .90510 1.10178 . 93742 1.013676 51 10 . M407 .18474 . 14303 .90569 1.10414 .93797 1.06613 50 11 . 84457 .18404 .142% .90021 1.10349 .93852 1.06551 49 12 .1422U . 90u74 1.10285 .93906 1.0<>489 48 13 .84556 . 87595 .14162 .90727 1.10220 .93961 1.06427 47 14 .18194 .14095 .90781 1.101 .Mi .94010 46 15 .87098 .14028 .90834 1.10091 .94071 1.08308 45 10 .84700 .18055 . S774<> .13961 .90887 1.10027 . 94125 1. 00241 44 17 .87801 .13894 .90910 1.09963 .91180 1.00179 43 IS .84806 .17910 . 87853 .13828 .90993 1.09S99 .94235 1.06117 42 19 .87904 .13761 .91046 1.03S34 .94290 1.06056 41 20 .84906 .17777 . 87966 .13694 .91099 1.09770 .94345 1.05994 40 21 .84956 .17708 .88007 .13627 .91153 .09706 .94400 1.05932 39 33 .85006 .17638 .88059 .13501 .91206 .09042 .94455 1.05870 38 23 S ->!*")," .17509 .88110 . 13494 . 91259 .09578 .94510 1.05809 37 *J 1 .85107 .17500 .88163 .13428 .91313 .09514 .91565 1.05747 36 25 .85157 . 13301 .91306 .09450 . 94020 35 26 .17361 .98266 .13295 .91419 .09386 . 94076 1.05624 34 27 . 1 72U2 .88317 .13228 .91473 .09322 .94731 1.05502 33 28 .86908 .88369 .13102 .91526 .94786 1.05501 32 23 .85358 .17154 .88421 .130% .91580 . 09195 . 94S41 1.05439 31 30 .85408 .17085 .88473 .13029 .91633 .09131 ,94896 1.05378 30 31 .85458 .17016 sv~>24 .12903 .91687 .09067 .94963 1.05317 29 32 .86609 .16947 ; i <,7o .13897 .91740 .09003 .95007 1.05256 2S 33 . 86669 .16878 .12831 .91794 .08949 .950KZ 27 34 .85009 ! 88680 .12765 .95118 1. 05133 26 35 .13698 .91901 .08813 .95173 1.05072 25 36 .85710 !n!o72 .88784 .91955 . OS749 . 95229 1.05010 24 37 .85781 . sss*i .12567 .92008 .08686 .95284 1.04949 23 38 .85811 .12501 .69623 . 95340 1.04888 22 39 ! 88940 .31488 .92116 .08559 .95395 21 40 .85912 .88992 .12369 .92170 .99498 .95451 1.04766 20 41 .85903 .89045 .12303 .93934 .98433 .95506 1.04705 19 42 .\ijil i .16261 .89097 13988 .98966 .95563 18 43 .80004 .10192 .89149 .12172 .92-ttl .68906 . H.V 1 s 1.04583 17 44 .16124 .89201 L 08343 .95673 16 45 .89258 i 1201l' 1.08179 .95729 L. 04461 15 40 .89916 .89966 .11975 . 92493 1.08116 .95785 1.04401 14 47 .89988 .11909 .92547 1.08051 .96843 1.04340 13 4S 1.07990 .95897 1.04279 12 49 .11778 1.07927 . 95963 1.04238 11 50 .80419 .89515 ,11733 .92709 1.07864 .98008 1.04158 10 51 .8647D .89567 .9*791 1.07801 .98011 1.04097 9 52 .89639 .11583 .93817 .07738 .96130 1.04086 8 53 . M.:,7_' .89673 11. -,17 .93873 .07676 .%176 1.09976 7 f>l L. 15443 .89738 . 1 1 J.VJ .96233 1 03919 6 55 .93990 .98388 1.08866 5 56 .15868 11:121 .93064 .90344 L. 06794 4 57 ! 89883 1 1 266 .99088 ' .96408 1.08734 3 58 .89966 .11191 1.09874 2 59 .15104 .BlOgg .11126 . 07209 1 80 .88939 .39967 .90040 ; iiooi . 93252 .07237 .99698 1.03553 0 , Cut. it! • Tan -. Cotang. Tang. Ootang. T.IM .:. Cot. in-. Tangi , 4 9° 4 8* 4 7° 4 6* TABLE 8.-NATURAL TANGENTS AND COTANGENTS. 44° / f 44° / 44° / Tang. Cotang. Tang. Cotang. Tang. | Cotang. 0 .9C5C9 1.03553 60 20 .97700 1. 02355 40 40 .98843 .01170 20 1 .96625 1.03493 69 21 . 97756 1.02295 39 41 . IWIOI .01112 19 2 .96681 . (KWH 68 22 . 97813 1.02236 38 42 .01053 18 3 . %7:w . 03372 r — 23 . 97870 1.02176 37 43 .99016 . 0(««»4 17 4 .96794 .03312 51 i 24 . 97927 1.02117 36 44 .99073 .00935 16 5 .96660 .03252 55 25 . !»7'.tM 1.02057 35 45 .99131 .00876 15 6 .96907 .03192 54 26 .98041 1.01998 34 46 .99189 .00618 14 7 .96963 . 03132 63 27 .98098 1.01939 33 47 .99247 .00759 13 8 . 97020 . 03072 52 28 .98155 1.01879 32 48 .99304 .00701 12 9 .97076 .03012 51 29 .98213 1.01820 31 49 .99362 . (XM',42 11 10 . 97133 .02952 50 30 . 98270 1.01701 30 50 . 99420 .00583 10 11 .97189 .02892 49 31 . 98327 1.01702 29 61 .99478 .00525 9 12 .972-J6 . 02832 48 32 . <),x:',s 1 1.01642 28 512 . 99536 .00 107 8 13 . 97302 .02772 47 33 .98441 1.01583 27 53 . 99594 .00408 7 14 .97359 .02713 46 34 .98499 .01524 26 54 . 9%52 .00350 6 15 .97416 . 02(1.™ 45 35 . 98556 .01 -5 (i5 25 55 .99710 . X 1 20 .97700 .02355 40 40 .98843 1.01170 20 60 1. 00000 l.(MMXK) 0 / Cotang. Tang. , , ('clang. Tang. / / Cotang.! Tung. 45° 45° 45° 126 0° TABLE 9. -LOGARITHMIC SINKS, COSINES, ETC. 179° " • Sine. s. T. Tang. Ootang. C. D. 1". Cottne. ' 4. £5 15.314 0 0 Inf.nep. 575 575 Inf. nop. Inf. pos. 425 ten 60 CO 1 6. 41.3720 575 575 13. 530274 425 ten 59 180 2 575 575 ,764768 . LM.YJ 1 1 425 ten 58 IN) 3 575 575 8.940847 18.059153 425 ten 57 2-JO 4 7.0u"J7N) 575 575 425 ten 56 300 5 575 575 . |i,-Ji,!Mi .837304 425 1 , > ten 55 3t» 6 .241877 575 575 .241878 .758122 425 • ' '- nn ( | < f i *< r< *' i 54 130 7 .806824 :,7o 575 .808825 .691175 425 * UU nn ' ; w.w.t 53 480 8 .300810 574 576 .300M7 .033183 491 . UU J U 1 .W.W.) 52 540 9 .417968 674 576 .417(170 .582030 424 • UU 1 ,.) oooooo 51 600 10 574 576 .463727 .530273 424 • UZ 'IMN'I'IN 50 660 11 7.505118 574 576 7.505120 12. 4948SO 424 .00 n*> 9, t{ ., l||( 1 V - .^^^^f^ 49 721 ) 12 .542UOO 574 577 .542909 .457091 423 . i'- .980087 48 780 13 .577008 574 577 .577072 .422828 423 .00 no .999997 47 840 14 .609863 .'.74 577 .600667 .390143 423 • UL2 nn .989996 46 900 15 .039810 573 578 .639820 .300180 422 .UU .999996 45 «.M> 16 578 578 .332151 422 .02 ru\ .988985 44 1020 17 .684173 578 578 .094179 .306821 422 . UU no .999995 43 1080 18 .718087 573 579 .719003 .2S0997 421 • (IB no OOQQG ( 42 1140 19 .74L'!7s 579 .742484 .257516 4-J1 • i '- ! 989893 41 1200 20 .704754 580 . 704701 .235239 420 .999993 40 12GO 21 7.785943 .-,72 580 7.785951 12. 214049 420 .02 i ..» 9.999992 39 1320 22 .800140 581 .806165 .198846 419 .UK .999981 38 1380 23 .825451 581 .825460 . 174540 419 .02 QQQQQO 37 1440 24 .843934 571 582 . M3944 .156056 418 .02 nn ; W-.KW 36 1500 25 .861662 571 583 .861674 .138326 417 .UU .999989 35 1560 26 .878685 571 583 .878708 . 121292 417 .02 no (u IIUJV^ . WlPiPDO 34 1620 27 .886085 570 584 .895080 .104901 416 .Ul . w.*.*7 33 1680 2S .910879 570 584 .910894 .089106 410 .02 .989986 32 1740 29 .920119 570 585 .920134 .073866 415 .02 no .989985 31 1800 30 .940842 569 580 .940858 .059142 414 .Uo .999983 30 I860 31 7.8(8082 569 587 7.955100 12.044900 413 .02 no 9.999982 29 1920 32 .968870 509 587 .968888 .031111 413 .Ui no .989981 28 1980 33 . !.,:> It) .878480 399 .03 no .W.I'.H.l 14 •JO) 47 .135810 501 602 .135851 .MV4149 398 .IK) i r> .888860 13 •80 •is . 1 i I1.*:,;! 561 808 .144906 397 . UH rto . w.u:* 12 2MO 49 .153907 MQ 8M . 1. -,:;•.:,_• .MUMS 396 .uo .889966 11 3000 50 560 605 . 837273 395 .03 . W>.r.<:>\ 10 3060 51 8. 171280 559 607 8. 171328 ll.XN.7l.> 393 .03 no 9.999952 8120 52 . 17-J71.J KM 808 . 17<>7».3 .8X081 392 .Uo ,889860 8180 53 688 808 .188080 391 .03 '/*/' 1*1-1 X 3240 54 . 190102 557 611 .190156 .808844 3.X9 no ! 988840 3300 55 .204070 556 612 .204120 .796874 388 .Uo . w.m t 3300 50 556 613 .211959 .788049 387 .03 .989842 3420 57 .219581 668 615 .Jim. il .780868 385 .03 .999840 3480 H 554 616 .772806 384 'cccris 2 3640 59 554 618 3.S2 .03 ! 988086 3000 00 553 818 11.758079 381 .03 8.888884 0 4.( 05 16.814 " i Corii* Ootang. Tang. D. 1". Sine. ' 90° sir 127 TABLE ».— LOGARITHMIC SINES, COSINES, 178e " ' Sine. S. T. Tang. Cotaog. C. D.I". Cosine. ' 4.685 15.314 3GOO 0 8.241855 553 619 8. 241&21 11. 75S079 381 f\'i 9. 999934 60 3000 1 . 249033 552 620 . 249102 . 750898 380 . (M . WW2 59 3720 2 .256004 551 622 .256165 . 743S35 378 . 05 /YJ 58 3780 3 .263042 551 623 .263115 .736885 377 . Uo .999937 57 3840 4 . 269881 550 625 .261W.C. . 730044 375 . 03 66 3900 5 .276614 549 627 .276691 .723309 373 . 05 /\0 .999922 55 3960 6 . JSJiJ-n 648 628 .283323 . 716677 372 . Uo . 999920 54 4020 7 . 289773 547 630 .289666 . 710144 370 . 03 .999918 53 4060 8 . 290207 546 632 . 290292 .703708 368 . 05 .999915 52 4140 9 .302546 546 633 .302634 . 6973C6 367 . 03 .999913 51 4200 10 .308794 545 635 .308884 .691116 365 . 05 .999910 50 4260 11 8.314954 544 637 8. 315046 11.684954 363 .05 9.999907 49 4320 12 . 321027 543 638 .321122 . 678878 363 . 03 f\r .999905 48 4380 13 .327016 542 640 .327114 . 672886 3fiO . Uo .990902 47 4440 14 . :;:L)(.fJ4 541 642 .333025 . 666975 358 . 05 .999899 46 4500 15 .338753 540 644 .338856 .661144 356 . 03 . iHtas't: 45 4560 Hi . 344504 539 646 . 344610 . 655390 354 . 05 . 999894 44 4620 17 . 350181 539 648 .350289 . 649711 352 . 05 r\p .999891 43 4680 18 .355783 538 649 . :j.">s9.-, . 644105 351 . Uo . < w;ss 42 4740 19 . 361315 537 651 .361430 - .638570 349 . 05 rjr . W.I.VC, 41 4800 20 . 306777 536 653 .366895 .633105 347 . Uo .999882 40 4860 21 8. 372171 535 655 8.372292 11.627708 345 .05 9. 999879 39 4920 22 . 377499 534 657 .377622 . 622378 343 .05 .999876 38 4980 23 533 659 .382889 .617111 341 . 05 n~ .999873 37 5040 24 . 387902 532 661 .388092 .611908 339 . UO .999870 36 5100 25 . 393101 531 663 . 393234 .606766 337 . 05 . os(X» 521 683 .436962 .563038 317 . U-> .999838 26 5700 35 . 441394 520 685 .441560 . 55S440 315 . 07 r*e . 999834 25 5760 36 . 445941 518 (iS8 .446110 .553890 312 . I/O ft"* .999831 24 5820 37 . 450440 517 600 . 450613 .549387 310 . U/ . '.n-...s27 38 5880 38 . 4.Y1MJ3 516 693 . 455070 . 544930 307 . 05 ft7 . «MS24 23 5940 39 . 459301 515 695 . 4.-/MXI .540519 305 . Ui ftT .999820 21 6000 40 . 4iB6»w 514 697 .463849 .530151 303 . U/ .w.»si6 20 6060 41 8. 467985 512 700 8. 4C.8172 11.531828 300 .05 IY7 9. 999813 19 6120 42 . 472263 511 702 . 472454 298 . U I . !WSO!» 18 6180 43 . 47(1498 510 705 .476693 .523307 295 . 07 a 7 . H'.HSO.-, 17 6240 44 . 480093 509 707 . 480892 .519108 293 ( A"7 .'.I'.t'.tsni 10 6300 45 . 484848 507 710 .485060 .514950 290 . Of n^ . W»7-.I7 15 46 506 713 .489170 .610830 287 . Uo ft7 . 1»W7'.I4 14 600 47 . 493040 60S 715 . 493250 .606760 2<-5 . U/ ft7 .999790 13 6480 48 . 497078 503 718 . 497293 .502707 2S2 . U7 H7 .999786 12 6540 49 .5010X0 502 720 .501298 . 498702 280 • Ui ft7 .999782 11 6600 50 .505045 501 723 .505267 . 494733 277 . U/ .999778 10 6600 51 8. 508974 499 726 8.509200 11. 490SOO 274 .07 nw '.». W.I774 9 6720 52 .512867 498 729 ,613096 . 4,Sti902 271 . Uo ft7 .999769 8 6780 53 . 516726 497 731 .616961 .483039 269 . U/ 07 . '.U-.iTt,.-, 7 6840 54 .62060] 495 734 .520790 . 479210 266 . U/ ft7 . w.»7r,i 6 8000 55 . 524343 494 737 . :,IM.-,M; .475414 263 • U/ ft? . 999757 5 6960 56 . 528102 492 740 . .VJVMU .471651 260 • Ui no . 999753 4 7020 57 .631828 4D1 743 .632080 . 467920 257 . Uo ft7 .999748 3 7080 58 . 535523 490 745 . -,:t-,77'.» . 4<>4221 255 • U/ ft7 .999744 2 7140 59 .639186 488 748 .539447 . 4tiUV>3 252 • U/ fta .999740 1 7200 60 1*40819 487 751 8.543084 11.456916 249 . Uo '.). '.Wt;:;:, 0 4.685 15.314 // / Cosine. Cotang. TanR. D.I". Sine. ' 128 TANGENTS, AND COTANGENTS. 177° / Sine. D. 1". Cosine. D. 1". Tang. D.I". Cotang. 0 1 8.542819 . .VUVllTJ 60.05 cn re 9. IKWtf .999731 .07 MX s. -,430x4 .646691 60.12 ,-(! | >) 1 1 . 45(1916 .488309 60 59 2 3 4 5 6 7 8 9 10 . r,4'.»-.«».-, ~).~>3.~>3'» .567064 .560640 .668909 .667431 .570836 .574214 .577566 ./.*. .».) 59.07 58.58 58.10 57.65 57.20 56.75 56.30 55.87 55.43 .y.W72ii .999722 .999717 .999713 .999706 .'.KWU .W%!KI .999694 .999689 • uo .07 .08 .07 .08 .07 .08 .08 .08 .07 .-).-,< rjiw .553817 . 557336 .5ti0.x:>N .504291 .567727 .571137 .574520 .577877 • )-'. I '- .W. 15 58.65 :..s. 20 57.72 57.27 5T-. Ki 56.38 55.95 55.52 . 44U732 .446183 .443664 .439172 .435709 . 4.TJ273 .438863 . 425 »s() .422123 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 8.580892 .684193 .687469 . 59071.' 1 .693948 .597152 .600332 .603489 .606023 55.02 54.60 54.20 53.78 53.40 53.00 52.62 52.23 MOC 9.999685 .yjWiWO . M.*n-> .999670 .WMI.-I .999660 .y.WUVi .999650 .999645 .08 .08 .08 .08 .08 .08 .08 .08 no 8.581208 .584514 .587795 .691051 . 51)4 2XJ .697492 .600677 .603839 .606978 55.10 64.68 54.27 53.87 53.48 53.08 52.70 52.32 MQO 11.418792 .415486 .412205 .408949 .405717 .402508 .399323 .396161 .393022 49 48 47 46 45 44 43 42 41 20 .609734 • oO 51.48 .999640 * UO .08 .610094 . «7O 51.58 .389906 40 21 22 23 24 25 8.612823 .615891 .618937 .621902 .624905 51.13 50.77 50.42 50.05 40 79 9.999635 .y.)9i il*» .999624 .yy.WlU .999614 .10 .08 .08 .08 10 8.613189 .616262 .619313 .622343 .625352 51.22 50.85 50.50 50.15 4Q Kf) 11.386811 ,383738 .380687 .377657 .374648 39 38 37 36 35 26 .627948 4J. i£t AQ Qfl . yjfciOS . 1U no .628340 Vf . oU AQ A7 .371660 34 27 28 29 30 .630911 .ti33.x51 .636770 .639680 4a. OO 49.05 48.70 48.40 48.05 .999(i03 .W.).Y.)7 AY.WAU .999586 • Uo .10 .08 .10 .08 .631308 .634256 .637184 .640093 4jf. 4/ 49.13 48.80 48.48 48.15 .368692 .366744 .362816 .359907 33 32 31 30 31 32 33 34 35 36 37 38 39 40 s. r,4-j.->r.3 . C4.>rjs . 64*274 .651102 .66191] .656702 . tV.V.147.-. .662230 .661968 .667689 47.75 47.43 47.13 46. Ki 46.52 46.22 45. '.U 45.63 45.35 45.07 9.999581 . yj.).-,7f> .999570 AW:*X . «iy.»55S .yjUVd .999547 .99964J . y.w-iar, .999529 * .10 .08 .10 .10 .08 .10 .10 .10 .10 .08 8.642982 . 645.SW . 14X704 .651537 .654352 .667149 . 6.->«iyjx .662689 . J33 .668160 47.85 47.52 47.22 46.92 46.62 46.32 46-02 45.73 45.45 45.17 11.357018 .354147 .351296 .348463 .345648 .342851 .340072 .337311 .334567 .331840 29 28 27 26 25 24 23 22 21 20 41 8. 670393 11 7ft 9.999524 in 8.670870 11 XX 11.329130 19 42 43 44 45 46 47 48 49 50 .673080 .675751 .678405 .681043 .683665 .686372 .688863 .691438 ,693996 T*. /O 44.52 44.23 43.97 43.70 43.45 43. is 42. irj 42.42 .yyyriis .999612 .999606 .y.»:i;.ui . «.»y.»4'..3 . U-.W4.s7 .'.WJ4X1 .99947.-. . yjy4»i'J * i ' i .10 .10 .10 .12 .10 .10 .10 .10 .10 .673563 .676239 .678900 .681544 .684172 . 6X«i7M .689381 .691963 . JW4.WJ •if. •" 44.60 44.35 44.07 43. .so 43. M 43. JS 43.03 42.77 42.53 .336487 .323761 .321100 .318456 .81*828 .313216 .310619 .308037 .305471 18 17 16 15 14 13 12 11 10 51 52 53 ,x.i,<>u-,i3 .6iiyo73 .701689 42.17 41.91 It IV 9.999463 . y.r.M-ir. .y.W4:io .12 .10 1O S.t,()7(>sl .699617 .702130 42.27 42.03 ll 7tt 11.302919 .300383 .397861 9 8 7 54 55 56 57 58 59 60 .704090 .706577 .709049 .711607 .713952 .716383 8.718800 41 . US 41.45 41.20 40.117 40.75 40.52 40.28 .999443 . «.«> 437 .999431 .999434 .999418 .999411 9.999404 • 1Z .10 .10 .12 .10 .12 .12 .704646 .7(17140 .709618 .71 -MM .714684 .716972 8.719396 41* /o 41.57 41.30 41. OS 40. V, 40.63 40.40 .296354 .393860 .290382 .387917 .386466 .381038 11.280804 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. i 92' 41479—10 9 129 TABLE 9.— LOGARITHMIC SINES, COSINES, 176° ' Sine. D. 1". Cosine. D. 1" Tang. D. l". Cotang. ' 0 1 8.718800 .721204 40.07 OQ OF 9. 999404 .999398 .10 12 8.719396 .721 SOO 40.17 11.280604 .278194 60 59 2 3 .723595 .725072 O«7. OO 39. 02 on ,49 .999391 .999384 • 1* . 12 i , > .724204 .726588 39! 73 on co .275796 .273412 58 57 4 . 72S337 • ».'. 'i- OQ 1 O .999378 . 1U . 72S959 O J. .).: ofi on .271041 56 5 6 .730688 . 733027 38'.98 oo 70 .999371 .999304 !l2 i •' . 731317 . 733M3 oil. oU 39.10 00 QQ '.260337 55 54 7 8 9 [737667 OO. IO 38.55 3*. 37 OQ 1 7 .999357 .999350 .999343 . i - .12 .12 1 *> . 735990 . 738317 .740620 OO. OO 3S.OS 38.48 00 07 .264004 .261683 .259374 53 52 51 10 . 742259 oo. 1 / 37.95 .999336 . I - .12 .742922 OO. // 38.08 .257078 50 11 12 13 14 8.744536 .740802 .749055 .751297 37.77 37.55 37.37 • i- I t; 9.999329 .909322 .999315 .999308 .12 .12 .12 19 8.745207 . 747479 . 749740 . 751989 37.87 37.08 37.48 07 on 11.25-17M .252521 .250200 .248011 49 48 47 46 15 10 17 18 19 20 . 7;i3.YJN . 755747 .757955 .700151 .702337 .704511 O/. lo 36.98 30. SO 30.00 30.43 30.23 36.07 .999301 .999294 .999287 .900279 .999272 .999205 • 1 - .12 .12 .13 .12 .12 .13 . 754227 .750453 .758608 .700872 . 763005 .765240 6i . 60 37.10 30. 92 30.73 30.55 36.35 30. 18 .245773 .243547 .241332 .239128 .236935 . 234754 45 44 43 42 41 40 21 22 23 24 25 20 27 28 29 30 8.766675 .708828 . 77(1970 . 773101 ! 777^:; . 779434 .781524 .783605 .786675 35.88 35.70 35.52 35.37 35.17 35.02 34.83 34.68 34.50 34.35 9.999257 .999250 .999242 .999235 .999227 .999220 .999212 .999205 .999197 .999189 .12 .13 .12 .13 .12 .13 .12 .13 .13 .13 8. 7074 17 . 709578 . 771727 .773806 . 775995 .778114 .780222 .782320 . 784408 . 7S04SO 36.02 35.82 35.05 35. 48 35.32 35.13 34.97 34.80 34.03 34.47 11.232583 . 230422 .228273 .226134 . 224005 .221886 .219778 .217680 .215592 .213514 39 38 37 30 35 34 33 32 31 30 31 32 33 34 8.787736 . 789787 . 791828 .793859 34.18 34.02 33. 85 oo 7f\ 9.999181 .999174 .999166 .999158 .12 .13 .13 •10 S. 7SS.-.54 .790613 .792662 . 794701 34.32 34.15 33.98 00 00 11.211440 . 209387 .207338 .205299 29 28 27 26 35 36 .795SX1 . 797894 Oo. /U 33.55 OO oo .999150 .999142 • lo .13 . 790731 . 798752 OO. OO 33.08 00 CO .203269 .201248 25 24 37 38 .799897 .801892 Oo. OO 33.25 oo A7 .999134 .999126 !l3 •iq .800763 .802765 .!•>. • »- 33.37 •I'} •>•> . 199237 . 197235 23 22 39 40 .803876 .805852 OO. \Ji 32. 93 32.78 .999118 .999110 • 1 • > .13 .13 .804758 .806742 oo. a 33. 07 32. 92 . 195242 . 193258 21 20 41 42 43 44 45 40 47 48 49 50 8.807819 .809777 .811726 ! 81 7522 . 819431 i .821843 .823240 .885180 32.63 32.48 32.35 32.20 32.05 31.90 31.78 31.62 31.50 31.35 9.999102 .999094 ! 099077 .999069 .999061 . 999053 !999027 .13 .13 .15 .13 .13 .13 .15 .13 .15 .13 8.808717 .SKH--S3 .812641 .S145S9 .816529 .818461 .820384 .822298 . S2 1205 .826103 32.77 32.63 32.47 32. 33 32.20 32.05 31.90 31.78 31.63 31.48 11.191283 .IV. 13 17 .187359 .185411 . 183471 .181539 .179010 . 177702 . 175795 .173897 19 18 17 16 15 14 13 12 11 10 61 52 63 8.827011 . KL'vxsl . S30749 31.22 31.08 30. 97 9.999019 .999010 .15 .13 .15 8. 827992 . S29S74 .831748 OOOfl t 0 31.37 31.23 31.08 11.172008 . 170120 .108252 1 ft' W" 9 8 7 65 ! K34450 80.89 •»,» .- v ;i«isjt.v| .15 1 °. . OOoO 1 O .835471 30.97 .MM lOO t 5 56 57 68 69 60 . S30297 .MSI 30 .889956 .841774 8.843585 oU. Oo 30. 55 30.43 30.30 .mis ! 998967 .998958 .998950 9.998941 • lo .15 .15 .13 .15 .837321 .889163 .840098 . K42VJ.-) 8.844644 ,'>(). S.'{ 30.70 30.58 30.45 30. 32 ! 162679 .160887 .159002 1L155356 4 3 2 1 0 ' Cosine. D. 1". Cine. D. 1". Cotang. D. 1". Tang. • 93« 86' 130 TANGENTS, AND COTANGENTS. 175" Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. B. 848686 .818887 .847183 .848071 .850751 .864201 .8M049 .867801 .889548 .89083 8.863014 .804738 .898455 .898166 .871566 . 873255 B. 879949 . 881607 .884903 .888643 .888174 .88142] .807842 .889432 .901017 .88006 . 904109 .808786 [807297 .910404 8.911949 .813488 . 9150-22 .916550 .918073 . 919591 .821103 .022010 .034112 .925009 8.927100 .988888 .9BU44 .988916 .918942 .037398 .888880 B. 949808 0.998941 81 '.'.-', _...». so 29.67 29.57 29.43 88.81 29.20 88.81 _'s. '.I.', 28.85 28.73 28.50 Us. I's 28.17 •181 •27. '.»:. 27.83 27.73 27.63 27.52 27.42 27.32 27.20 27.12 27.00 26.90 Jli. M) 26.72 26.60 26.50 jr.. u 26.32 26.22 26.12 J/,. U3 25.85 25.75 25.65 25.57 25.47 _':,. :;x 25.30 25.20 25. 12 25.03 J-l. •.»:> 24.85 24.78 24.60 -M..YJ 24.43 24.35 34.27 24.20 24.10 .998914 .908906 . '.«.s77ii .908766 . WX7J7 .<>'.tx71X ! 096708 .996679 .998558 .098518 .998606 ! 998498 .998474 .999484 9.988441 .898431 .098491 .998416 .998877 ! 998998 0.998344 .11 .11 .U . i.-. .11 . i:. .11 .16 .11 .17 .11 .lo .17 .16 .15 .17 .1.-) .17 .16 .17 .15 .17 .17 .17 .16 .17 .17 .17 .17 .17 .17 .17 .17 .17 .17 .17 .18 .17 .17 .17 .18 .17 .is .17 .ix .17 .ix . 17 .ix .ix .ix .17 .ix .ix . is .18 .18 .18 .18 B. 844644 .846456 .851846 .855408 .867171 8. 864173 .871064 .872770 .874469 . 876162 . X77x }'» .879529 a 881202 .884530 ,886185 ..ss«M7r, , V.t.'74-_' S. V.»7.V>i .902308 905570 . 907147 ! 908719 .910285 .911846 8. 913401 .014051 ! 910495 .018084 .010568 .921096 .022619 .025649 [9271M .030155 .033134 ! 034616 .936093 .937566 .940494 B. 941982 30.18 29. ''.-, 29.82 29.70 29.58 29.47 29.35 29.23 29.12 29.00 28.77 28.65 28.55 jx. -!;{ 28.32 28.22 28.12 28.00 27.88 27.78 27.68 27.58 27.47 27.38 27.27 27.17 27.07 26.97 26.87 26.78 26.67 26.58 26.48 •jr.. :is •2>\. JO 26.10 26.09 25.92 25.83 25.73 •_'-.. I'.:? 25.57 25.47 j.-,. -js 25. 12 25.03 24.95 24.87 24.78 24.70 24.62 24.59 j ;. »:. 24.37 24.30 IL 155336 .153545 . 151740 .149943 . 148154 . 14««72 .144897 . 1 l-N-( .141068 .139314 . 137567 11.135827 .134094 . 1. •;_>:<' ,x .130649 . 1-jv.u.i .127230 .125531 . rjiws . 122151 .120471 11. 118798 .117131 . 115470 . 113815 . 112167 . 110524 . 10X.XXS .107258 .105634 .104016 11. 102404 .100797 .099197 .097602 .096013 .094430 .092853 .001281 .089715 .088154 11.086599 .085049 .083505 .081989 .080439 .078904 .077381 .075864 .074351 .072844 11.071342 .089845 .065384 .063907 .063435 .080868 .059608 11.038048 04° Cosine. D. Sine. D.I". Cotang. D.I". 131 Tang. TABLE 9.— LOGARITHMIC SINES, COSINES, 174° ' Sine. D.I". Cosine. D.I" Tang. D.I". Cotang. / 0 1 S.'.M(>-».)<; .941738 24.03 0.006344 .998333 .18 8.941952 .943404 24.20 11.058048 .056596 60 59 2 3 4 5 6 7 .943174 .944(106 .946034 .947456 .948874 23.87 23.80 23.70 23.63 23.55 .998322 .998311 .998300 . WS'JSH .998277 .998266 .18 .18 .18 .20 .18 .944852 .946295 .947734 .949168 .950597 .952021 24.05 23.98 23.90 23.82 23. 73 .055148 . 053705 .052266 . 050832 .049403 .047979 58 57 56 55 54 53 8 9 10 .951606 .953100 .954499 23.40 23.32 23.25 .998255 .998243 .998232 .20 .18 .20 .953441 .954856 .950207 23.58 23.52 23.45 .046559 .045144 .043733 52 51 50 11 12 13 14 15 16 17 18 19 20 8.955894 .957284 .958070 .900052 .961429 .904170 .965534 .906893 .908249 23.17 23.10 23.03 22.95 22.87 22.82 22.73 22. 65 22.60 22.52 9.998220 .998209 .998197 . 998180 .998174 .998163 .998151 .998139 .998128 .998116 .18 .20 .18 .20 .18 .20 .20 .18 .20 .20 8.957674 . 959075 . 900473 .901860 .963255 .964639 .9(50019 .907394 .968766 .970133 23. 35 23.30 28.23 23. 15 23.07 23.00 22.92 22.87 22.78 22. 72 11.042326 .040925 .039527 .038134 .036745 .035361 .033981 .032606 .031234 . 029807 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 8.909000 .970947 . '.CJJS'.I .973028 .974902 .970293 .977619 .978941 .980259 .981573 22.45 22.37 22. 32 22.23 22.18 22.10 22.03 21.97 21.90 21.83 9.998104 .998092 .998080 .998068 .998056 .998044 .998032 .998020 .998008 .997996 .20 .20 .20 .20 .20 .20 .20 .20 .20 .20 8.971496 .972855 .974209 .975560 .976900 .978248 .979586 .980921 .982251 .983577 22.65 22. 57 22.52 22.43 22.37 22.30 22.25 22.17 22.10 22.03 11.028504 .027145 .025791 .024440 .023094 .021752 .020414 .019079 .017749 .016423 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 8,982883 .984189 .!)S.7!'.U .986789 .».ssox:i .'.ISW74 .990660 21.77 21.72 21.63 21.57 21.52 21.43 9.997984 .997972 .997959 .997947 .997935 .997922 .997910 .20 .22 .20 .20 .22 .20 8.984899 .986217 .987532 .988842 .990149 .991451 .992750 21.97 21.92 21.83 21.78 21.70 21.65 11.015101 .013783 .012408 .011158 .009851 .008549 .007250 29 28 27 26 25 24 23 38 39 40 .991943 .993222 .994497 21.32 21.25 21.18 .997897 .997885 .997872 .20 .22 .20 .994045 .995337 . 990624 21.53 21.45 21.40 .005955 .004663 .003370 22 21 20 41 42 43 44 45 8.995768 .997036 .998299 S.'IW.V.') 9.000816 21.13 21.05 21.02 20.93 9.997860 .997847 .997835 .997822 .<)'. 17X1)9 .22 .20 .22 .22 8.997908 8.999188 9. 000465 .001738 .003007 21.33 21.28 21.22 21.15 11.002092 11.000812 10.999535 .998262 .996993 19 18 17 M 15 46 47 48 49 50 .002069 .003318 .004563 .005805 .007044 20.82 20.75 20.70 20.65 20.57 .997797 .997784 .997771 .997758 .997745 .22 .22 .22 .22 .22 . 004272 .005534 .006792 .008047 .009298 21.03 20.97 20.92 20.85 20.80 .995728 .994406 .993206 .991953 .990702 14 13 12 11 10 51 52 53 54 55 60 57 68 59 60 9.008278 .009510 .010737 .013182 .014400 .016824 .018031 9.019235 20.53 20.45 I'D. tJ 20.33 20.30 20.22 20.18 20.12 20.07 9.997732 .997719 .907706 .997693 .997680 .097667 .997854 .997641 . '.KIT* 'J.s 9.907614 .22 .22 .22 .22 .22 .22 .22 .22 .23 9.010546 .011790 .013031 .014268 .015502 .016732 .017959 .019183 .020403 9.021620 20.73 20.68 20.62 20.57 20.50 20.45 20.40 20.33 20.28 10.989454 .988210 .»S6%» .985732 .984498 . !l.s.T.'< S .98204] .980817 .979597 10.978380 9 8 7 6 5 4 1 2 1 0 ' Cosine. D.I" Sine. D. 1". Cotang. D. 1". Tang. ' 95' 132 TANGENTS, AND COTANGKN 1^. 173° ' Sine. D. 1". rosin,-. D. 1". Tang. D. 1". C,)t;ui.'. ' 0 1 2 3 4 5 0 7 8 9 10 .090435 . 021(132 .033885 .024016 .096303 .030886 .097667 .098744 .039918 .031089 20.00 19.95 19. ss 19.86 19.78 19.72 19.68 19. .,2 19.57 19.52 19.47 9.997614 .997001 . '.U7.1.VS . W7574 .997661 !997634 .997520 .997507 . 997493 .997480 .22 .22 .23 .22 .23 .22 .23 .22 .23 .22 .23 9.031090 ! 034044 .036361 .020455 .028862 .030046 .031237 .082425 .033609 20.23 20.17 20.12 20.07 20.00 19. 95 19.90 19.85 19.80 19.73 19.70 10.978380 . 977106 . 975956 . 974749 . 973.545 ! 971 148 .868964 .988708 .967678 .966391 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 10 17 18 19 20 '. 033421 .084562 .IU-,741 .088896 .038048 .039197 .040342 .0414X5 19.40 19.35 19.32 19.25 19.20 19.15 19.08 19.05 19.00 18.95 9. 997466 . 997.I.-.2 .997439 .99742.5 .997411 . W7.-W7 ! 997369 .997355 .997341 .23 .22 .23 .23 .23 .23 .23 .23 .23 .23 9.034791 .035969 .087144 .038316 .089485 .040651 .041813 ! 044130 .045284 19.63 19.58 19.53 19.48 19. .13 19.37 19.33 19.28 19.23 19.17 .984031 ! 961684 .980615 .959349 .96087 . 9.-.7027 .955870 .954716 49 48 47 46 45 44 43 42 41 40 21 9.043762 1 V vv 9. 997327 oo 9.046434 10.953566 39 22 23 24 25 .044895 .046020 . 047154 .048379 1 V V\ [8.85 18.80 18.75 1 x I V .997313 . 997'_".)9 .' 997271 . £6 .23 .23 .23 .047582 .048727 . 049M,'. .051008 19.08 19.03 18.98 I Q i i • .952418 . 951273 .960131 .948992 38 37 36 35 26 .049400 i V IkS 1 Q AK 9972-17 • ~3 . 052144 IV J. » 1 o oo . 947856 34 27 28 29 30 .050519 .0.-, ii,;.-, ! 053859 Jo, oo 18.60 18.57 18.50 18.45 '. 997342 ! 997214 .997199 .23 .23 .25 .23 .063377 .054407 .055535 .056659 Jo. oo 18.83 18.80 ia73 18.70 '. 940733 .945593 .944405 .943341 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9.054966 .060071 .067172 .068971 . 000400 . 061551 .009639 . (KJ724 .084808 18.42 ia35 iasa ia2? lv 22 iai8 18.13 IV OS iao3 17.98 9. 997185 .997170 . 997156 .997141 .997127 .997112 .997098 .'n7os; .997088 .997053 .25 .23 .25 .23 .25 .23 .25 !25 .23 9. 0.177*1 .068900 .060016 .001130 .063940 .003348 .064453 ! 067752 18.65 18. CO 1857 18.50 ia47 IV. 12 18.38 iv:>2 18.38 18.25 10. 942219 .941100 ! 938870 ! 935547 ' -|«4-1|t 29 28 27 26 25 21 2:; 22 21 20 41 42 43 9.065885 .000909 .088080 17.95 17.90 17 v ' 9.997089 . 'i <7ii2 l .997009 .25 .25 OK 9.0688M ! 071027 ia20 18.15 10.931154 .930089 . 92V7.; 19 18 17 44 45 46 47 . 009107 .()70|7(i . 071242 . 072306 17. OO 17.82 17.77 17. 73 17.07 ! 990979 l »• l 11* 1 . '»'».**> ) ! 990949 .998984 . - > .25 .25 .25 . 2.1 or .07211:? . 073197 . 07427S .075356 .076433 18.07 iaoa 17.97 17.93 17 Oil . 927ss7 .990808 . '.r.M7l-J .OEMB44 .919568 16 15 14 13 12 49 .074424 17 lifl .998919 . ID OR .077505 J/. 00 17 oc .939495 11 50 .07.11*11 1 1. tlU 17..V, .994801 • rffrO .25 .078576 J /. oo 17.80 .'.CM 121 10 51 69 53 54 .077583 .079676 .080719 17.50 17 17 17.42 17.38 1 7 *M 9.990880 .988874 . Ulus/.s .998843 .998898 .25 .27 .25 .27 9.079644 .080710 .081773 .083883 .083891 17.77 17.72 17.67 17 i J i 10.9203.56 .919990 .918327 .917167 .916109 9 8 7 6 5 M 57 58 68 60 .089797 . 0-viS.iJ .084864 1 1 . • • ' 17.30 17.17 .988813 .990700 !25 .27 .25 .084947 .087060 •MKrm j * . mi 17.50 17.47 17.43 ! 912950 .911909 I0.9UBM 4 3 2 1 0 '' OMfi* D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 133 TABLE 9.— LOGARITHMIC SINES, COSINES. 172* ' Sine. D. 1". Cosine. D.I". Tang. D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9 10 9. OS5S94 . 086922 . 087947 .088970 . 089990 .091008 . 092024 . 093037 .094047 . 095056 .096062 17.13 17.08 17.05 17.00 16.97 16.93 16.88 16.83 16.82 16. 77 16.72 9.996751 .996735 . 996720 . 996704 . 996673 .996657 .996641 ! 996610 .996594 .27 .25 .27 .27 .25 .27 .27 .27 .25 .27 .27 9.089144 . 090187 . 092266 .093302 . 094336 . 095367 .096395 . 097422 . 098446 .099468 17.38 17.35 17.30 17.27 17. 23 17.18 17.13 17.12 17.07 17.03 16.98 10.910S56 .909813 . 908772 . 907734 .906698 . 905664 . 904633 . 903605 . 902578 .901554 .900532 60 59 58 57 56 55 54 53 32 51 50 11 12 13 14 15 16 17 18 19 20 9.097065 . 098066 . 099065 .100062 . 101056 . 102048 .103037 . 104025 .105010 . 105992 16.68 16.65 16. 62 16. 57 16.53 16.48 16.47 16.42 16.37 16.35 9.996578 . 996562 .996546 .996530 .996514 . 996498 . 996482 .996465 . 996449 .996433 .27 .27 .27 .27 .27 .27 .28 .27 .27 .27 9. 100487 . 101504 . 102519 . 103532 . 104542 . 105550 . 106556 . 107559 . 10S560 . 109559 16.95 16.92 16.88 16.83 16.80 16.77 16. 72 16. 6S 16.65 16. 62 10. 899513 .SUM! 16 .897481 .896468 . ,S95 15s .SIM 150 . 893444 .892441 . 891440 .890441 49 48 47 46 45 44 43 42 41 40 21 23 24 25 27 28 29 30 9. 106973 . 107951 . 10S927 .109901 . 110873 . 111842 . 112MHI .113774 . 114737 . 115698 16. 30 16.27 16.23 16. 20 16.15 16.12 16.08 16.05 16.02 15.97 9. 996417 .996400 .996384 .996368 .996351 .996335 .996318 .996302 . 996285 . 996269 .28 .27 .27 .28 .27 .28 .27 .28 .27 .28 9. 110556 . 111551 .112543 . 113533 . 114521 .115507 . 116491 . 117472 .118452 . 119429 16.58 16. 53 16.50 16.47 16.43 16.40 16.35 li,. 3:; 16.28 16. 25 10. 889444 .888449 . 887457 . 886467 .885479 .884493 .883509 .882528 . 881548 .880571 39 38 37 36 35 34 33 32 31 30 31 32 33 9. 116C56 . 117613 . 118567 15.95 15.90 9. 996252 .996235 . 996219 .28 .27 9. 120404 .121377 . 12234S 16.22 16.18 10. 879596 .878623 . 877652 29 28 27 34 35 36 .119519 . 120469 . 121117 15. S3 15.80 .996202 .996185 . 996168 .28 .28 . 123317 . 124284 . 12.Y.M9 16. 12 16 OS .876683 . 875716 . 874751 26 25 24 37 38 39 40 . 122362 . 123306 . 124248 . 1251S7 15. 75 15.73 15.70 15.65 15.6:; . 996151 . 996134 . 996117 .996100 .28 .28 .28 .28 .126211 . 127172 . l.'SlMd .129087 16.02 15.97 15.95 15.90 . 873789 . 872828 .871870 . 870913 23 22 21 20 41 42 43 44 45 46 17 48 49 50 9. 126125 . 127060 . 127993 . i2s<.i25 . 1307s! .131706 ! 133551 . 134470 15.58 15.55 15.53 15.48 15.45 15.42 15.40 15.35 15. js 9.990083 .996066 .9'.). ,0111 .996032 '. 996998 .995980 .995963 .995946 . '.)'.I592S .28 .28 .28 .28 .28 .30 .28 .28 .30 .28 9.130041 .130994 . 131944 . 13I7X! .135726 . i:;66.,7 . 137605 .138542 15.88 15.83 15.82 15.77 15. 75 15.70 16.68 15.63 15. 62 15.57 10. 8(59959 . 86900(5 . S6S056 . 88^107 .866161 .865216 . S6427 1 .863333 .862395 . 861458 19 18 17 16 15 14 13 12 11 10 51 52 51 55 M .r>7 58 M 9. 1353S7 . 13630:; . 139037 . HiivV .141754 .142655 '.(. 1 13555 15.27 15. 22 15.20 15.15 15. 12 15.10 15.07 15.02 15.00 9.995911 .996894 .996876 .995841 . 9'.»57SS . 995771 9.995753 .28 .30 .28 .30 .30 .28 .30 .28 .30 9. 139476 .140409 . 111311) . 1 131 '.Hi . 144121 ; i ISM >' . L46885 15.55 15.52 15.48 15.45 15. 42 16.38 I.'.. 37 15.32 15.30 10. 860524 .859591 . 857731 .856804 . X55S7'.) . 854956 .854034 .S53I15 10. 852197 9 8 7 6 5 4 3 2 1 0 ' rosino. D. 1". Sine. D.I". Cotang. D. 1". Tang. i 97° 82' 134 TANGENTS, AND COTANGENTS. ' Sine. D. 1". Ootto* D. 1". Tang. D.I". Cotang. ' 1 1 2 3 4 5 6 7 8 9 10 9.143555 ! 145349 .140243 .147136 .148026 .148016 . 149MV_> .150686 .151509 14.97 1 1. 93 14.90 1488 14.83 14.82 14.78 14.73 14.72 14.70 14.65 ' ! 006735 .006717 .006009 .906681 .006064 . 99.-»C>4ii .906628 .995610 ! 995573 .30 .30 .30 .30 .28 .30 .30 .30 .32 .30 .30 9. 1 17M13 .148718 . 149632 .150544 . 151454 .162863 .153269 .154174 .155077 . 155978 .156877 15.25 15.23 15.20 15.17 15.15 15.10 15.08 15.05 15.02 14.9S 14.97 10, 852197 .861282 .850368 .840450 . S4.s54r, . S47r,37 .846731 . S45.S26 .844923 .844022 .843123 60 59 58 67 56 55 54 53 52 51 50 11 12 13 14 15 16 9.153330 .166083 . 155957 .166830 . 157700 14.63 14.58 14.57 14.55 14.50 9.995555 .995537 .99.-,:, 19 .006601 . 995482 .995464 .30 .30 .30 .32 .30 9. 157775 . 1.W.71 .159565 .160457 .161847 14.93 14.90 14.87 14.83 14.82 10. 842225 .841329 .840435 . S.W>43 '. S37764 49 48 47 46 45 44 17 18 .168569 .159435 1 1. },: .995446 . 9.H427 .32 on ! 163123 .164008 14.75 . K36S77 . S35992 43 42 19 20 .160301 .161164 14.38 14.35 .006409 .995390 .32 .30 .164892 . 165774 14.70 14.67 .836106 .834226 41 40 21 • 22 • 23 24 , 25 i 27 i 28 29 9.162025 . ir.js.v-, .163743 .164600 .106454 .106307 . 167159 .108006 . liixx.v, .169702 14.33 14.30 14.28 14.23 1422 14.20 14.15 14.13 14.10 14.08 .'935134 .w/wir. ! 006278 .006260 .006241 ! 995203 .32 .32 .30 .32 .32 .30 .32 .32 .32 .32 9. 1666-14 ! 168409 .160284 .170157 .171029 .171899 . 172767 .173634 . 174499 14.63 14.62 14.58 14.55 14.53 14.50 14.47 14.45 14.42 14.38 10.833346 .832468 .831591 .830716 . S29X4:< .828971 .828101 1 826366 .825501 39 38 37 36 35 34 33 32 31 30 31 32 33 36 37 38 39 40 9. 170547 .171389 .172230 . 173070 .173908 . 171744 .176678 .176411 . I77.M2 . 178072 14.03 14.02 14.00 13.97 13.93 13.90 13.88 13.85 13.83 13.80 9.995184 .005165 .006146 .005127 .095106 .9950JS9 .995070 .995061 .006032 .995013 .32 .32 .32 .32 .32 .32 .32 .32 .32 .33 9. 175362 .176224 . 177084 .477042 . 178799 .170666 .180508 . 181360 .182211 .183059 14.37 14.33 14.30 14.28 14.27 14.22 14.20 14.18 14.13 14.13 10.824638 .828776 .822016 ! 821201 .820345 . 819492 .SIS. ',40 .817789 .816941 29 28 27 26 25 24 23 22 21 20 41 42 43 44 B 47 48 49 50 9.178900 .180661 .181874 ! 183016 ! 185466 .188880 IS, 77 13.75 13.72 13.70 13.67 13.53 9.994993 .804074 .004066 ! 004*16 .004806 .004877 .004867 .0048*8 .804818 .32 .32 .33 .32 .33 .32 .33 .32 .33 .33 9.183907 .184762 ! 180489 . 1.X72X.) .188120 .' 180704 .191i62 14.08 14. (IS 1408 14.02 14.00 18.98 13.01 18.88 13.87 10.816093 .815248 .814403 .813661 .812720 .811880 .811042 .800371 .808538 19 18 17 16 15 14 13 12 11 10 51 52 9. 187092 . 187903 9.9-117'tx .004779 .32 9.192294 13.83 10. 807706 .800876 9 8 53 54 55 56 . 188712 . 189519 18.49 .004769 .004789 .004720 .004700 .33 .33 .32 .33 ftft '. l'V«7NI . I-.J.XH; 13.82 18.77 .806847 .8ti020 .804804 .805670 7 6 5 4 58 59 60 o! 104833 13.33 13.30 .004880 .804010 .004640 0.004820 .33 .33 . l<»7-':>:: .108074 . l-.isv.i4 13,06 13.65 .802747 .801926 .801106 10.800287 3 2 1 0 ' Cosine. D. 1". D. 1". Cotang. D. 1". Tang. ' as3 81' 135 TABLE O.-LOGARITHMIC SINES, COSINES, 170° 1 / Sine. D. 1". Cosine. D. 1". Tang. |D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9 0. 194332 .195129 . 195925 . 196719 .197511 .198302 . 199091 .199879 . 200000 .201451 13.28 13.27 13.23 13.20 13.18 13.15 13.13 13.12 13.08 9. 994620 .994600 . 994580 . 994560 I . 994540 . 994519 . 994499 . 994479 .994459 . 994438 .33 .33 .33 .33 .35 .33 .33 .33 .35 9.199713 . 200529 .201345 .202159 . 202971 . 203782 . 204592 . 205400 . 20(1207 .207013 13.60 13. 00 13.57 13.53 13.52 13.50 13.47 13.45 13.43 10.800287 . 799471 .7981-55 .797841 . 797029 .796218 . 795408 . 794600 . 793793 . 792987 60 59 58 57 56 55 54 53 52 51 10 .202234 13.05 13.05 .994418 .33 . 207817 13. 40 13.37 .792183 50 11 12 13 14 15 16 17 18 19 20 9.203017 . 203797 . 204577 . 205354 .206131 .20(906 . 207679 .208452 . 209222 .209992 13.00 13.00 12.95 12.95 12.92 12.88 12.88 12.83 12.83 12.80 9. 994398 . 994377 . 994357 .994336 .994316 . 994295 . 994274 . 994254 . 994233 . 994212 .35 .33 .35 .33 .35 .35 .33 .35 .35 .35 9. 208619 . 209420 .210220 .211018 .211815 .212011 . 213405 .214198 .214989 . 215780 13.35 13.33 13.30 13.28 13.27 13.23 13.22 13.18 13.18 13.13 10.791381 . 790580 . 789780 . 788982 .788185 . 7K73X9 . 786595 . 785802 .785011 . 784220 49 48 47 40 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9.210760 .211526 .212291 .213055 .213818 .214579 .215338 .216097 .216854 .217609 12.77 12.75 12.73 12.72 12.08 12.65 12. 65 12.62 12.58 12.57 9.994191 .994171 . 994150 .994129 .994108 . 994087 . 9940)16 . 994045 . 994024 . 994003 .33 .35 .35 .35 .35 .35 .35 .35 .35 .35 9.216568 .217356 .218142 . 218926 .219710 . 220492 . 221272 . 222052 .222830 .223607 13.13 13.10 13.07 13.07 13.03 13.00 13.00 12.97 12.95 12.92 10. 783432 . 782644 .781858 .781074 .780290 . 779508 . 778728 . 777948 .777170 . 770393 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9.218363 .219116 . 219808 .220618 .221307 .222115 .222801 . 223000 . 224349 .225092 12.55 12.53 12.50 12.48 12.47 12.43 12.42 12.38 12.38 12.35 9. 993982 . 993960 . 993939 .993918 •993897 .993875 .993854 . 993832 .993811 . 993789 .37 .35 .35 .35 .37 .35 .37 .35 .37 .35 9. 224382 . 225156 .225929 .220700 . 227471 . 22X239 . 229007 .229773 . 230539 .231302 12.90 12.88 12.85 12.S5 12.80 12. XO 12.77 12.77 12.72 12.72 10.775618 . 774844 . 774071 . 773300 . 772529 . 771701 . 770993 . 770227 . 709401 .768696 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 48 49 60 0.225833 . 220573 .227311 . 22X048 . 22X7X4 .229518 .230252 .230984 .231715 .232444 12.33 12.30 12.28 12.27 1 '_'. •'.•{ 12.23 12.20 12.18 12.15 12.13 9.9M70X . M3746 . 993725 . 993703 . 9930X1 .D'.nOlK) ! 993594 . 993572 .37 .35 .37 .37 .35 .37 .37 .37 .37 .37 9. 232065 . 2.TJSJO ! 2351 03 [236614 . 23730X .238120 . 'J3SS7-J 12.68 12.67 12.65 12.03 12.00 12.58 12.57 12.51 12.53 12.50 10. 767935 .707174 .766414 . 705(0.1 . 704S1I7 .764141 . 703uso .' 761880 .701128 19 18 17 16 15 14 13 12 11 10 51 52 53 54 H 57 58 59 60 9.233172 !•]:««;•»:• .235349 . 236073 .236795 .237.-.1:, oM':<'.«,7(l 12.12 12.10 12.07 12.07 12.03 12.00 12.00 11.97 11.95 9.993550 . w:w_'s '. 993484 . 993402 .993440 .9934 IX .' 993374 .37 .37 .37 .37 .37 .37 .37 .38 9. 239622 .240371 .241118 .241865 .242610 .243354 .244097 .244839 .246579 9.246819 12.48 12.45 12.45 12.42 12.40 12.38 12.37 12.33 12.33 10. 760378 .759629 . 75XSS-J .758135 . 757390 . 7 ••60 40 . 755903 .755161 . 754421 10. 753681 9 8 7 6 5 4 3 2 1 0 • Cosirip. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 80' 136 10° T INDENTS, AND COTANGENTS. 169° ' Sine. D. 1". Cosino. D. 1". Tang. D. 1". CotanR. ' 0 1 2 3 4 5 6 7 8 9 10 .240386 .241101 .241814 . LMiY.Y, '. 24:ir»'i7 .244656 .245363 .246069 . IM.,77:, 11.93 11.92 11.88 11.87 11.85 11.83 11.82 11.78 11.77 11.77 11.72 0.393351 .993329 .993307 .003284 .093262 .993240 .993217 .993195 .993172 .993149 .993127 37 .37 .38 .37 .37 .38 .37 .38 .38 .37 .38 9.246319 .247057 . 247794 .248530 .249264 [ 250730 .251461 . 252191 .252020 .253648 12.30 12.28 12.27 12.23 12.23 12.20 12.18 12.17 12.15 12.13 12.10 la 753681 [ 752206 .751470 .750736 .750002 . 749270 .748639 .747809 .747080 .746352 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 9.247478 .248181 • -i^i [250282 11.72 11.70 11.67 11.65 n,--> 9.993104 .993081 .993050 .093036 .993013 .38 .37 .38 .38 00 a 254374 .255100 [256547 . 257269 12.10 12.07 12.05 12.03 10. 745626 .744900 . 744176 .743453 .742731 49 48 47 46 45 16 17 18 .250060 .251677 . 252373 . Oo 11.62 11.60 UC*T [ '»I>i»ii7 . IW.M4 • oo .38 .38 00 .257990 .258710 12! oo 11.98 Ul|- .742010 .741290 .740671 44 43 42 19 20 .253067 .253761 . o/ 11.57 11.53 .922921 .00 .38 .38 [200146 .260863 . \9o 11.95 11.92 [739137 41 40 21 9.254453 Uco 9.992875 00 9.261578 Uon 10.738422 39 22 .255144 . - ' - Uen . {.*.*2^~>'l . OO 00 .262292 .. WJ Uoo . 737708 38 23 24 .255834 .256523 . •»' • 11.48 H47 '. 092806 • OO oo .263005 .263717 . Sh 11.87 Hv'v .736995 .730283 37 36 25 26 27 .257211 257898 . i • 11.45 11.42 Ul ' .992783 '. iwf-ii; . oo .40 .38 00 .264428 .265138 .265847 . oO 11.83 11.82 U. . , .735572 .734862 .734153 35 34 33 28 29 30 ! 259268 .39095] .260633 . 41i 11.38 11.37 11.35 .982713 .092600 .992666 . OO .38 .40 .38 .266555 .267261 .267967 . ou 11.77 11.77 11.73 [ 73i>7:;'.« .732033 32 31 30 31 32 33 34 9.261314 .381904 .383673 .363351 11.33 11.32 11.30 Ufyj 9.992643 .092619 .992506 .992572 .40 .38 .40 00 9.268671 .260375 .270077 .270779 11.73 11.70 11.70 n.-- la 731329 .730020 [ 729221 29 28 27 26 35 36 37 38 39 40 .364027 .384703 .265377 .380051 .396723 .387395 • - ' 11.27 11.23 11.23 11.20 11.20 11.17 '. wlv'oi .902478 [90480 .00 .40 .40 .38 .40 .40 .40 .271479 . 272178 .272876 . 273573 .274269 .274984 . o/ 11.65 11.63 11.62 11.60 11.58 11.57 .728521 [ 727124 .726427 . 725731 .725036 25 24 a B 21 20 41 42 43 44 45 9 268065 .388734 .360403 270069 .270735 11.15 11.13 11.12 11.10 nAfl 0.092406 [ 092359 .' iriil'-m .40 .38 .40 .40 111 9.275658 .276351 . 277043 . 2777:> i 11.55 11.53 11.52 11.50 UJO 10. 724342 . 722U-.7 [ 7[M.:.7ti 19 18 17 16 15 46 47 48 49 50 .271400 .272064 .274049 .. Uo 11.07 11.03 11.03 11.02 10. 91 ! 992263 .992239 .992214 .992190 • 4U .40 .40 .42 .40 .40 [27911.-} .279801 .280488 .281174 .281888 . 4o 11.47 11.45 11.43 11.40 11.40 . 7-.MKS7 .719512 .71.NV.Y, .718142 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9. 27-171 is .275367 .276025 .277337 .378645 [279948 9.2B06M 10.98 10.97 Hi '.t:t in. .« 10.90 10.90 ID. s7 10.88 10.85 9. 992166 .902142 .092118 .992093 .992009 .992044 .992020 .991996 .901971 9. 991947 .40 .40 .42 .40 .42 .40 .40 .42 .40 -.». 2vj.vj2 .2x.-;(.»o7 .284588 . 2S.Y.Y.X '. 296024 .287301 . _N7'.'77 '.). 288652 11.38 IL37 11.35 11.33 11.32 LI. 28 11.28 11.27 11.25 Itt 717458 .716093 .715412 .714733 .712699 .713023 10.711348 9 8 7 6 5 4 3 2 1 0 Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 100 = 79' 137 TADLE 9.— LOGARITHMIC SINES, COSINES, 168° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tan.!.:. ' 0 1 2 3 4 5 6 7 8 9 10 9. 280599 . 281248 . 281897 .282544 .283190 . 2S3K36 . L'S-I-IM) .285124 .285766 .286408 . 287048 10.82 10.82 10.78 10.77 10.77 10.73 10.73 10.70 10.70 10.67 10.67 9. 991947 .991922 . 991897 . 991873 . 991848 .991823 .991799 . 991774 . 991749 . 991724 . 991699 .42 .42 .40 .42 .42 .40 .42 .42 .42 .42 .42 9. 288G52 . 289326 . 289999 .290671 . 291342 . 292013 .292682 .293350 . 294017 . 294684 . 295349 11.23 11.22 11.20 11.18 11.18 11.15 11.13 11.12 11.12 11.08 11.07 10. 711348 . 710674 .710001 .709329 .708858 . 707987 . 707318 .706650 .705983 .705316 . 704651 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9. 287688 . 288326 .288964 .2S%(K> . 290236 . 290870 .291504 .292137 . 292768 . 293399 10.63 10.63 10.60 10.60 10.57 10.57 10.55 10.52 10.52 10.50 9. 991674 . 991649 .991624 . 991599 . 991574 . 991549 . 991524 . 991498 . 991473 .991448 .42 .42 .42 .42 .42 .42 .43 .42 .42 .43 9. 296013 . 296677 . 297339 . 298001 . 298662 .299322 . 299980 . 300638 . 301295 . 301951 11.07 11.03 11.03 11.02 11.00 10.97 10.97 10.95 10.93 10.93 10. 703987 . 703323 . 702661 . 701999 .701338 . 700678 .700020 . 699362 . 698705 .698049 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9. 294029 . 294658 . 295286 .295013 .296539 .297164 .297788 . 298412 .299034 .299655 10.48 10.47 10.45 10.43 10.42 10.40 10.40 10.37 10. 35 10.35 9.991422 . 991397 . 991372 . 991346 . 991321 . 991295 . 991270 . 991244 . 991218 . 991193 .42 .42 .43 .42 .43 .42 .43 .43 .42 .43 9. 302607 . 303261 .303914 . 304567 .305218 . 305860 .306519 .307168 . 307816 .308463 10.90 10.88 10.88 10.85 10.85 10.83 10.82 10.80 10.78 10.77 10. 697393 ! 696086 . 695433 . 694782 . 6941H1 . 693481 . (i'.OS.'W . 692184 . 691537 39 38 37 36 35 34 33 32 31 30 31 32 9.300276 . 300895 10.32 9.991167 .991141 .43 9. 309109 . 309754 10.75 10. 690891 . 690246 29 28 33 34 35 36 37 38 39 40 .301514 .302132 .302748 . 303:564 .303979 ! 306207 .305819 10. 30 10.27 10.27 10.25 10.23 10.23 10.20 10.18 .991115 .991090 . 991004 .991038 . 991012 .990986 ! 990934 .42 .43 .43 .43 .43 .43 .43 .43 . 310399 .311042 .311685 . 312327 . 312968 .313608 .314247 .314885 10.72 10.72 10.70 10,68 10. 67 10. 65 10. 63 10. (B .689601 . 6XSU-.S .688315 .687673 . 687032 .686392 .685753 .685115 27 26 25 24 23 22 21 20 41 42 43 44 45 47 48 49 50 9.306430 .307041 . 307650 . 308259 .308867 .309474 , 310080 .310685 .311289 .311893 10.18 10.15 10.15 10.13 10.12 10.10 10.08 10.07 10.07 10.03 ! 990X82 . 990855 '. iwsTtt .990777 . W07.10 . !»-H)7lM ! 990671 .43 .45 .43 .43 .43 .45 .43 .45 .43 .43 9. 315.523 . 316159 . 316795 . 317430 . 318064 . 318697 .319330 . 319961 . 320592 .321222 10. 60 10.60 10.58 10. 57 10.55 10. 55 10. 52 10.52 10.50 10.48 10. 684477 .683841 .683205 .682570 .681936 .681303 ,680670 .liMH).'!') .679408 . 678778 19 18 17 16 15 14 13 12 11 10 51 52 E 9.312496 .313097 10. 03 10.02 9.990645 ! 990691 .45 .45 9. 321851 . :«247'.» .323106 10.47 10.45 10.678149 . 677521 9 8 7 54 .314297 .314897 10.00 : 990538 .45 . 323733 10.42 [676267 .676642 6 5 .316495 9. 97 . 900511 . :'.-_' I-.KI .676017 4 B 68 59 00 .316092 .317284 9.95 «.». '.i-J '.). -rj . 990 131 {).!):«) 101 . -I.-, .45 .45 .326231 . :<•_>» xv ; 10.40 10. 37 10.37 . 67-W93 .673769 .673147 10. 672525 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. ' 101' 78° 138 TANGENTS, AND COTANGENTS. 167° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 9.317879 . 318473 9.90 i\ vw 9. 9" « (401 .990378 .43 9. 327475 . 3U.S4Hi.-i 10.33 in 7Q ia 672525 .671906 60 59 2 3 4 5 6 7 8 9 10 .319066 .330249 .320840 .339019 .333194 .323780 pi .^ 9.87 9.85 9. XT, 9.83 9.82 9. so 9.78 9.77 .99086] . 990324 ; (mi™ .y.»it>43 . 990215 .990188 .990161 .990134 '.45 .45 .45 .45 .47 .45 .45 .45 .45 .338715 [330670 .331187 .831803 .332418 .333033 .333646 I U. .v> 10. 3U 10.32 10.28 10.28 10.27 10.25 10.25 10.22 10.22 1670047 .669430 .688813 .668197 .667582 . 666354 58 57 56 55 54 53 52 51 50 11 12 13 14 U it; 17 18 19 '!3U4!«.M) . 3U.V.:<4 .336117 .336700 . 32X44U .339021 9.73 9.73 9.72 9.72 9.68 9.68 9.67 1.66 n *^o 9. 990107 .990079 .990UV_> '. 9V.W7 . 9S9970 .989942 ! 989887 .47 .45 .45 .47 .45 .47 .45 .47 9. 334259 .334871 .335482 .336093 .336702 .337311 .337919 ! 339133 10.20 10.18 10.18 10.15 10.15 10. 13 10.13 10.10 in in 10.605741 .686129 [663907 ! 663689 ! 661473 .660867 49 48 47 40 45 44 43 42 41 20 .329599 9! 62 . 9S9SM) !47 .339739 1 U. 1 U 10.08 40 21 22 23 24 9. 330176 .330753 .331329 .331903 9.62 9.60 9.57 9. 9S9S32 . 9S9S04 . 9S9777 .989749 .47 .45 .47 An 9.340344 .340948 . 341552 .342155 10.07 10.07 10.05 in HQ 10.659656 .659052 .668448 .657845 39 38 37 36 25 26 27 28 29 30 . 33U47S .333051 . 333024 . 334195 .334707 .335337 9.' 55 9.55 9. :,L' 9.53 9.50 9. 4s .989731 . «.is'.»o'.tt .989666 .989687 .9X9010 » 'I ' .47 .47 .47 .45 .47 .48 . 342757 .343358 . 343'.»T,S .344558 . 345157 .345755 1(1. Uo 10.02 10.00 10.00 9.98 9.97 9.97 . 657243 .655442 . UVIS43 .654245 35 34 33 32 31 30 31 33 34 9.335906 .336475 .337043 .337610 9.48 9.47 9.45 t\ jo ' ! 989625 ! 989466 .47 .47 .47 A*7 9.346353 . 340949 . 347545 .348141 9.93 9.93 9.93 f\ ,u - 10. 653647 ••MOM ! 651859 29 •js 27 y. 4o n ^Q .989441 • 1 . A*7 . 34X7:f. y. yu .661266 25 36 '*is7-l'' y. 4o .989413 • 'ii . 349329 O OO 050071 24 38 ! 339807 .339871 .340434 9! 40 9.38 <> -i- ! 989666 '.48 .47 47 '. '{.-livi M .351100 K >^ 9.87 9.87 Q Oj C .660078 .649486 23 22 21 40 .340990 9.37 '. 988300 • -I < .48 .351697 y. oo 9.83 ! 04,s;>(U 20 41 42 9.341558 .343119 9.35 n QO '. 889343 .47 |. '. 352876 9.82 n oo 10. 647713 .647124 19 18 43 44 45 y. • >. > 9.33 9.30 .988314 .989186 .989167 « 1s .47 .48 . 35405:? .'. ^^ 9. SO 9. 7S . 04.V.M7 17 10 15 60 ! M-l-i-,-, .344912 .346034 9. 30 9.28 9.28 9.25 9.25 9.25 .989138 .989100 .689071 .989043 .989014 . 48 .47 .48 .48 .47 .48 .366982 .357566 9. 7S 9.77 9.75 9.73 9.73 9.72 .644773 .644187 .648603 .643018 .64M34 14 13 12 11 10 51 52 53 54 55 .348340 ! 348843 9.22 9.22 9.36 '.». IS ai 7 .988966 . 888937 ! 688869 .48 '. is .48 iv . :iv.»v.u 9.70 9.70 9.67 9.68 10.. ,440687 .649107 8 7 6 5 66 57 58 59 .349893 .360992 . 1 < 9.17 '.». I.", 9.13 iii. .988840 .98601 • V* .48 .48 .48 AQ .363787 9.61 9.68 .680947 .688868 .687790 4 3 2 1 60 9.869088 !'. l.{ it! 988734 . fji 9.J68864 9.62 0 ' Cosine. D. 1". •tat, D. 1". Cotang. D. 1". Tang. ' 139 13° TABLE 9.— LOGARITHMIC SINES, COSINES, 166° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 9.352088 .352635 .353181 9.12 9.10 Q no 9. 988724 . .48 ' .48 CA 9. 363364 . 363940 .364515 9.60 9.58 A CO 10. 636636 .636060 .635485 60 59 58 3 .353726 y. Uo Q ftQ ! 988(536 • OU .365090 y. 00 9K7 . 634910 57 4 5 .354271 . 354815 y. uo 9.07 A AC .988607 .988578 !48 CA .365664 . 366237 . o/ 9.55 9CC .634336 .633763 56 55 6 7 8 .355358 .355901 .356443 y. uo 9.05 9.03 .988548 . 988519 . 988489 . OU .48 .50 .366810 . 367382 . 367953 . 00 9.53 9.52 9KO .633190 .632618 . 632047 54 53 52 9 10 . 356984 . 357524 9! oo 9.00 .988460 .988430 !50 .48 .368524 .369094 • • ' _ 9.50 9.48 . 631476 .630906 51 50 11 12 9.358064 .358603 8.98 0 Ay 9. 988401 .988371 .50 9. 369663 . 370232 9.48 A .4C 10. 630337 . 629768 49 48 13 . 359141 o. y/ .988342 f{\ . 370799 y. 40 . 629201 47 14 15 .359678 .360215 a 95 0 QC .988312 .988282 . OU .50 CA . 371367 . 371933 9! 43 .628633 . 628067 46 45 16 17 . 360752 . 361287 o. yo 8.92 Q 11.) .988252 . 988223 . OU .48 KA . 372499 . 373064 9. 43 9.42 9 4^ . 627501 . 626936 44 43 18 19 . 361822 .362356 O. • '_ 8.90 Q OQ . 988193 .988163 . OU .50 CA . 373629 . 374193 9i 40 A QQ .626371 . 625807 42 41 20 . 362889 O. OO 8.88 .988133 . OU .50 . 374756 y. oo 9.38 . 625244 40 21 22 23 24 25 26 27 28 29 30 9.363422 . 363954 . :«;44Sf, .365016 .365546 .366075 .366604 .367131 . 367659 .368185 a 87 8.85 8.85 8.83 8.82 S. S3 H. 78 8.80 8.77 9. 988103 . 988073 .988043 .988013 . 987983 . 987953 .987922 . 987892 . 987862 .987832 .50 .50 .50 .50 50 .52 .50 .50 .50 .52 9.375319 . 375881 . 376442 377003 . 377563 . 378122 .378681 . 379239 . 379797 .380354 9.37 9.35 9.35 9.33 9.32 9.32 9.30 9.30 9.28 9.27 10.624681 .624119 ! 622997 . 622437 . 621878 . 621319 . 620761 . 620203 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 9. 368711 . 369236 . 369761 .370285 . 370808 . 371330 8.75 8.75 8.72 8.72 8.70 9. 987801 . 987771 . 987740 . 987710 . 987679 . 987649 .50 .52 .50 .52 .50 9. 380910 .381466 .382020 . 382575 .383129 .383682 9.27 9.23 9.25 9.23 9.22 10. 619090 . 618534 . 617980 . 617425 . 616871 .616318 29 28 27 26 25 24 37 38 . 371852 . 372373 8. 70 8.68 . 987618 . 9N75XS . 52 .50 .384234 . 3S47X6 9. 20 9.20 o i c . 615766 . 615214 23 22 39 . 372894 S. IIS . 987557 . 52 . 385337 y. is .614663 21 40 . 373414 8. 67 8.65 . 987526 . 52 .50 ! 385888 9. 18 9.17 .614112 20 41 9. 373933 9. 987496 9. 386438 A. 1 K 10. 613562 19 42 .374452 8. 65 Q f.0 . 987465 . 52 . 386987 y. i.) Air . 613013 18 43 44 . 374970 . 375487 O. (M a 62 0 (*J\ .987434 .987403 !52 CO . 387536 . :txsns.i y. 10 9.13 .612464 .611916 17 16 45 47 48 49 50 . 376003 .376519 . 377035 . 377549 ! 378577 A. Ml S. fiO 8.60 a 57 8.57 8.57 . 9N7372 . 987341 .987310 . !»x7L>7<» . 987248 .987217 • 0 £i .52 .52 .52 .52 .52 .52 .388631 .:;s!»!7s ! 390270 . 390815 . 391360 9! 12 9.10 9.10 9.08 9.08 '. Mi:, .611860 .(HOS22 . 610276 .609185 .608640 15 14 13 12 11 10 51 ro 9.37«n»s9 a53 9.987186 .52 9. 391903 9.07 10.608097 | • 53 54 55 66 '. 3801 13 .180824 .381134 .381643 s. ;,:< a 52 s. :,o a 48 ij87W4 ; iisfiNi? .987680 .52 .53 . 52 ! 393531 .394073 .394614 9. as 9.03 9. 03 9.02 9AA ! 607011 . 606469 . r,o.v.>_>7 .605386 7 6 5 4 57 .882162 S. -IS Q AQ .986988 M .395154 . (JU 9/\A . 604846 3 58 o. 4s . 086967 • •>£ .395694 . uu .604306 2 59 H ! 388168 a 45 K. -1.1 .986936 . .r>2 .53 .896233 9. 396771 S. '.N 8.97 .603767 10.603229 0 ' Cosine. D. 1". Sine. D. I". OofttBff. D. 1". Tang. ' 103° 76° 140 14° TANGENTS, AND COTANGENTS. ' Sine. D. 1". Cosine. D. 1". 'run.--. D. 1". Cotang. ' 0 1 2 3 4 8.883675 .384182 [386192 .886697 a 45 s. 42 S. 42 S. -12 0 Aft '.1. UM.'.MM . «IM;ST:{ .966841 .986809 . HST.77S .52 .53 .53 .52 M 9.396771 . 397309 .897846 ! 398919 a97 8. '.C, 8. '.« 8.93 0 (V) ! 602691 .602154 . 601617 .601081 60 59 58 57 56 5 6 7 1 .886704 ! 387207 .387709 O. VJ 8.38 s. 3.s 8. 37 o oe .986746 .966714 .986683 .986661 • OO .53 .52 .53 CO ! 899990 .400524 .401058 O. «W 8.92 a 90 8.90 0 00 .600545 .600010 .699476 55 54 53 52 9 10 .388210 .388711 O. OO ass ass .986619 .986587 . Oo .53 .53 . 401591 . 402124 O. OO 8.88 as7 ! 696409 .597876 51 50 11 12 II 14 9.389211 .389711 .390210 .390708 8.33 a32 8. 30 '.). JJSUVM 1 986401 . !I8T,4.J'.» .53 .53 .53 CO 9.402666 . 403187 . 403718 .404249 ass 8.85 a 85 O QO 10. 597344 .696813 ! r.i.i.-»7.-> I 49 48 47 46 15 If, 17 18 19 . 391206 .891703 .392199 ^Ililm 8.28 a 27 a27 8.27 o OQ .986427 [986363 • DO .53 .53 .53 .53 CC .404778 .406806 .405836 . 406364 . 40T.XH2 o. cfi& ass 8.80 aso 8.80 870 .595222 .594692 .594164 .693636 .593108 45 44 43 42 41 20 .393685 o. Jo a23 ! 986366 • DO .53 . 407419 . to 8.77 .592581 40 21 22 23 24 25 26 27 28 29 9. 394179 .394673 .895166 .896668 .396150 . 396641 . 397132 .897621 .398111 8.23 8. 22 8.20 a 20 a is a is 8.15 a 17 QIC 9.986234 .11X6202 .986169 .986137 .986104 .986072 .986089 .986007 . '.i.s.V.174 .53 .55 .53 .55 .53 .55 .53 .55 CO 9. 407945 . 408471 . 40899(i .409521 .410045 .410669 . 411092 . 411615 . 412137 a 77 a 75 a 75 a 73 a 73 a 72 a 72 a 70 Q f\Q 10. 592055 .591529 .591004 .590479 .689955 .589431 .688906 ! 687863 39 38 37 36 35 34 33 32 31 30 .398600 o. lo a 13 .985942 * OO .55 .412658 o. 68 a 68 .587342 30 31 32 34 35 3f, '.•..W.MIS.S ! 400CXJ2 .400549 .401035 . 401520 a 12 8.12 8.12 8.10 8.08 9.985909 ! 985778 .55 .55 .53 .55 .55 9. 413179 .413699 .414219 . 414738 . 415257 . 415775 a 67 S. 67 aes aes 8.63 Itt 586821 .586301 .585781 .585262 . 5X4743 29 28 27 26 25 24 37 38 39 40 .402005 .4024.su . 4«i2«.»72 . 4034.55 8.08 8.07 8.05 aos a 05 !16 .676007 . 57.->4'.»7 [ 574481 ! 678466 8 7 6 5 4 3 58 59 60 9.412996 7. 87 7.87 .986011 . '.K4!»7.s <». '.M'.t-H • Of .55 .57 .427041 . 427.VI7 K. 42sir,2 •V '}• > S. -13 s. 42 . 572-.0-.I . 5724:.3 10.571948 2 1 I ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 104° 141 15' TABLE 9.— LOGARITHMIC SINES, COSINES, 164' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9. 412996 7 OK y. 9S4944 9. 428052 Q A1) 10. 571948 60 1 2 3 4 . 413467 .418988 . 414408 . 414878 . OO 7.85 7. ',<>, 7.83 . 984910 . 984876 . 984842 . 984808 !57 .57 .57 . 428558 . 429062 . 429566 . 430070 O- 3o 8.40 8.40 8.40 .571442 . 570938 . 570434 59 58 57 56 5 . 415347 7. 82 984774 .57 . 430573 S 38 O Q7 . 569427 55 6 . 415815 7. 80 7 Of) . 984740 . 57 . 431075 O. Of 807 .568925 54 7 8 9 10 .416283 . 416751 .417217 .417684 . oU 7 80 7.77 7.78 7.77 . 984706 . 984672 . 984638 .984603 '.57 .57 .58 .57 .431577 . 432079 . 432580 . 433080 O/ 8.37 8.35 8.33 8.33 .568423 . 567921 .567420 .566920 53 52 51 50 11 12 13 14 15 16 17 18 19 9. 418150 . 418615 . 419079 . 419544 .420007 420470 .420933 . 421395 .421857 7.75 7.73 7.75 7.72 7.72 7.72 7.70 7.70 7AO 9. 984569 . 984535 . 984500 . 984466 . 9S4432 . 984397 .984363 . 984328 .984294 .57 .58 .67 .57 .58 .57 .58 .57 CO 9. 433580 . 434080 . 434579 . 435078 435576 . 436073 . 436570 . 437067 . 437563 8.33 8.32 8.32 8.30 8.28 8.28 8.28 8.27 10. 566420 .565920 .565421 .564922 .564424 .563927 .563430 . 562933 .562437 49 48 47 46 45 44 43 42 41 20 .422318 . DO 7.67 .984259 . OO .58 .438059 8.25 . 561941 40 21 22 23 24 25 26 27 9. 422778 .423238 . 423697 . 424156 . 424615 . 425073 .425530 7. 67 7.65 7.65 7.65 7.63 7.62 .984224 . 984190 .984155 . 984120 .984085 .984050 . 984015 .57 .58 .58 .58 .58 .58 9. 438554 .439048 . 439543 . 440036 . 440529 .441022 .441514 8.23 8.25 8.22 8.22 8.22 8.20 10.561446 .560952 . 560457 .559964 . 559471 .558978 . 558486 39 38 37 36 35 34 33 28 29 30 .425987 . 426443 .426899 7. 60 7.60 7.58 . 983981 . 983946 . 983911 !58 .58 .60 . 442006 . 442497 .442988 8. 20 8.18 8.18 8.18 .557994 .557503 .557012 32 31 30 31 32 9. 427354 .427809 7.58 7 57 9. 983875 . 983840 .58 CQ 9. 443479 . 443968 8.15 817 10.556521 .050032 29 28 33 34 35 H 37 38 39 .428263 . 428717 . 429170 . 429623 . 430075 .430527 .430978 7.57 7.55 7.55 7.53 7.53 7.52 .983805 . 983770 .983735 .983700 .983664 .983629 . 983594 • Oo .58 .58 .58 .60 .58 .58 . 444458 . 444947 . 445435 .445923 .446411 . 446898 . 447384 1 1 8.15 8.13 8.13 8.13 8.12 8.10 Q in .555542 .555053 .554565 .554077 . 553589 .553102 .552616 27 26 25 24 23 22 21 40 . 431429 7. 50 . ys355X !58 . 447870 o. 1U 8.10 .552130 20 41 9. 431879 9. 983523 9. 448356 Q Mv 10 551644 19 42 43 . 43277S 7.' 48 7A7 .983487 . 9X3452 !ss •n .448841 . 449326 5. Do 8.08 o tY7 .551159 .550674 18 17 44 M 47 48 .433221. . 433675 . 434122 . 434560 .435016 • -it 7.48 7.45 7.45 7.45 7 43 .983416 . ys.33Xl . US3345 .983309 . UH3273 . uU .58 .60 .60 .60 CO . 449810 .450794 . 450777 .451260 .45F43 O. Ul 8.07 8.05 8.05 S. 05 8 no .550190 . 549706 .549223 .548740 16 15 14 13 12 49 . 435462 7 41 '»X.'-!'>3S . do c/\ .452225 . UO 8 no . 547775 11 50 .435908 7. 42 .983202 . OU .60 . 452706 . Uli 8.02 .547294 10 51 9. 43C.353 749 9. 9S3166 cn 9. 453187 10.546813 9 52 •J.'{(i7(fS • 'I- .9X3130 • OU . 45366X o. CT£ . 541.332 X 54 ! 437242 . 4376.M, 7. 40 7.40 .60 .GO . 45 1C.2N 8.00 8.00 .545372 7 6 65 .438129 700 ().x.'',(r>'> • 6~ . 455107 7QQ . 544S-.J3 5 56 57 58 . -13X572 .439014 . 43(1451 i • OO 7.37 7.37 7QC ! 982986 [982914 !eo .60 .456064 . wo 7.97 7.97 7QC .544414 . 543936 4 3 2 59 . 4:;'7 57 56 55 54 7 .468817 0. oo A ft°. USIW25 • OO Aft . 4SX'4'.IL> . 4o 7 48 .511008 53 8 .469227 O. oo A Q** . 980286 * OO AC .488941 I . ^O 7AQ .011069 52 9 10 .469637 . 470046 0. oo 6.82 6.82 . 980247 .980208 . OO .65 .65 . 489390 . 489838 . 4o 7.47 7.47 .010610 . 510102 51 50 11 12 9. 470455 .470863 6.80 r» Qf\ 9. 980169 . 980130 .65 /?r 9. 490286 . 490733 7.45 7 AX. 10. 509714 .009267 49 48 13 14 . 471271 . 471079 0. OU 6.80 A 7Q .980091 .980052 . DO .65 A7 . 491180 . 491627 . 4o 7.45 7 A'* . 508820 .. 508373 47 46 15 16 17 18 19 20 . 472080 . 472492 . 472898 . 473304 . 473710 . 474115 D. /o 6.77 6.77 6.77 6.77 6.75 6.73 . 980012 . 979973 . 979934 . 979895 . 979855 . 979816 • Oi .65 .65 .65 .67 .65 .67 . 4!»J073 . 492519 .492965 . 493410 . 493854 .494299 . 4o 7.43 7.43 7.42 7.40 7.42 7.40 . 507927 . 507481 . 5()7(«.*) .506690 .506146 .505701 45 44 43 42 41 40 21 22 23 24 25 26 27 28 , 29 30 9. 474519 . 474923 . 475327 . 475730 . 476133 . 476536 . 476938 . 477340 . 477741 . 478142 6.73 6.73 6.72 6.72 6.72 6.70 6.70 6.68 6 68 6.67 9. 979776 . 979737 . 979697 .979658 . 979618 . 979579 . 979539 . 979499 . 979459 .979420 .65 .67 .65 .67 .65 .67 .67 .67 .65 .67 9. 494743 . 495186 . 495030 .496073 . 496515 496957 . 497399 . 497841 . 4X2 . 498722 7.38 7.40 7.38 7.37 7.37 7.37 7.37 7.35 7.33 7.35 10.505257 .504814 . 504370 .503927 .503485 . 503043 .502001 . 502159 .501718 . 501278 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 478542 . 478942 . 479342 . 479741 .480140 . 4x< «:«» .480937 . 481334 . 481731 .482128 0. 67 0. 07 6.65 6.65 6.65 6.63 6 62 6.62 6.62 6.62 9.979380 . 979340 . 979300 . 979260 .979220 . 979180 . 979140 . 979100 .979059 . 979019 .67 .67 .67 .67 .67 .67 .67 .68 .67 .67 9. 499163 . 4WHW .500042 . 500481 . 500920 . 50135!) . 501797 .502235 . 502672 .503109 7.33 7.32 7.32 7.32 7.32 7.30 7.30 7.28 7.28 7.28 10. 500837 . 500397 . 499958 . 499519 . 499080 .488641 . 498203 . 497705 . 497328 .496891 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 48 9.482525 .482921 .483316 .483712 .484107 .484601 . 4X4XT, . 4S.TJSU 6.60 o. 5s 0. (X) 6.58 6.57 6.57 6.57 9. 978979 . 978939 .978898 . »7SK/iX . 978817 . 978777 . 978737 . «.»7so'.«i .67 .68 .67 .68 .67 .67 .68 9. 503546 . 503982 . 504418 .504854 . 505289 . 505724 . 506159 .5(NW« 7.27 7.27 7.27 7.25 7.25 7.25 7.23 10. 490454 . 49001S . 495582 .495140 .494711 .494276 . 41WS4 1 . 493407 19 18 17 16 15 14 13 12 49 50 . 4x.ri»iS2 . 4*007.-, 6 55 o. 5.-, 0.53 . 97S< ',-,-, . 978615 .68 .67 .68 . -,07027 .507460 7.23 7.23 7.22 . 4l.L>'.»7:i .492540 11 10 51 '.». 4xi 1407 9. 978574 AQ 9. 507893 7OO 10. 492107 9 52 53 54 65 56 67 68 59 60 . 4MWi,o . 467261 . -1x704:1 .488034 . 4XS41M .488814 .488904 . 4XUV.U 9. 4V.WX2 0. ,r)f) 6.62 6.53 6.52 o. -,o 6.50 0. .-,() 6.48 6.48 .978533 . 978493 . H7S4-.2 .978411 . 978370 . !I7.S.'{J'J . 97X2X.S . '.I7.S-J47 9. '.I7.x-_'0t; . 68 .07 .68 .68 .68 .68 .68 .68 .68 .508326 . 508759 .509191 . 50W22 .010064 .510486 .010916 .011346 9.511776 . J~ 7.22 7.20 7.18 7.20 7.18 7.18 7.17 7.17 . 4<)1074 . 491241 .490809 .490378 . 489946 . 489515 . 4X'.MM . 4XXT,-,4 10.488224 8 7 0 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. I". Co tang. D. 1". Tang. ' 107° 144 i \ M;ENTS, AND COTANGENTS. 161s Sine. D. 1". Cosine. D. 1". D. 1". Cotanp. 0 1 2 I 4 5 6 7 8 '.) 10 11 12 13 14 15 Iti 17 1.x 19 20 21 22 23 24 IB 2(1 27 2X 29 30 31 32 33 34 :c, M 37 IB 39 40 41 42 43 44 4.-, 4t> 47 48 « 50 .-,1 :.2 61 54 ;>.-, 50 67 68 69 IK) y. 4,x'.r.»s2 .4'.NK71 . 490759 .491147 .491535 . 491922 .49231 ix . 492095 . 4930X1 .493x,-,l 9. 49423., . 495772 .4M1M . 497301 9. 49SOtl4 . 49X444 .499204 . 500--542 .500721 ..-.olir.r.i . 501476 9.501854 .a4 ..•,3-1911, .680160 .630601 0.63*972 7.17 7.15 7.15 7 15 7.13 7.13 7 13 7.12 7.12 7.10 7.12 7.10 7. 0,x 7.10 7 08 7.07 7.07 7.07 7.07 7.05 7.05 7.05 7.03 7.03 7 03 7.02 7.02 7.02 7.00 7. 00 6.98 6.98 6.98 6.97 6.97 6.97 ti. «0 6.95 6.95 6.95 6.93 6.93 6.92 t;- ;•'-; ti. 92 690 6.90 6.90 ti. NX 6.87 6.87 .,. x.-, «, .x.-, • i. ,x.-, i,. .x.-, 10. 4XS2-24 . 4X77'.»4 .4X7310 ! 4Xf,:,07 1485651 . 4.X.-.223 . 4X479. i .4X43., 9 . 4X3943 10. 483510 . 4X2239 . 481814 . 4X13JM) ' 480542 .4X01 is .479095 10 479272 . 478849 .478427 .478005 .477583 . 477102 . 476741 . 476320 .475900 .475480 10. 475060 .474641 .474222 .473803 .473385 . 4729<,7 . 472.-, 19 . 472132 .471715 .471298 10. 470881 .470405 .470049 '. 409219 . 467975 . 467561 . 467147 10.466734 .40u'121 .466908 .416496 .415084 .404072 .404261 D. 1". Sin-. D.I Cotang. D. 1". Tang. 10S 41479—10 10 145 19° TABLE 9.— LOGAWTHMir SINKS, COSINES, 1BOC ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tani,'. ' 0 9. 512642 9. 975670 _ i). 53U072 10. 463028 60 1 2 . 513009 .513375 6. 12 6.10 (• i n . 975(127 !73 70 .537382 . 537792 6. S3 6.83 A OO .462618 .46221 IS 59 58 3 4 5 6 .513741 .514107 .514472 .514837 0. 10 6.10 6.08 6.08 A Oft ! 975539 . 975496 . 975452 . 975408 . to .72 .73 .73 7O . 538202 .538611 . 5301120 o. oo 6.82 6.82 6.82 6 on .461 70S .4613X0 .460980 .469571 57 56 55 54 7 8 9 10 . 515202 .515566 .515930 . 516294 O. Do 6.07 6.07 6.07 6.05 . 975365 . 975321 . 975277 . 975233 . i £i .73 .73 .73 .73 . 530S37 . 540245 . 540053 . 541061 . oU 6.80 6.80 6.80 6.78 . 460163 . 459755 . 459347 .458939 53 52 51 50 11 9.516657 A A£ 9. 975189 70 9.541468 67Q 10. 45X532 49 12 . 517020 O. I/O 6/vj . 975145 . to 70 . 541875 . to 677 .45X125 48 13 14 . 517382 .517745 . Uo 6.05 A n*t . 975101 . 975057 • to .73 70 .542281 .542088 . // 6.78 677 . 457719 .457312 47 46 15 16 17 18 19 20 .518107 .518468 . 518829 .519190 .519551 .519911 O. Uo 6.02 6.02 6.02 6.02 6.00 6.00 . 975013 . 974969 .974925 . 974880 .974836 . 974792 • to .73 .73 .75 .73 .73 .73 . 543094 .543499 . 543905 . 544310 . 544715 .545119 . f / 6.75 6.77 6.75 6.75 6.73 6.75 . 456006 . 450501 . 456005 . 455G90 .455285 .454881 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 9.520271 .520631 . 520990 . 521349 . 521707 .522006 .522424 . 522781 .523138 . 523495 6.00 5.98 5.98 5.97 5.98 5.97 5.95 5.95 5.95 5.95 9. 974748 . 974703 . 974659 . 974614 . 974570 . 974525 . 974481 . 974436 . 974391 . 974347 .75 .73 .75 .73 .75 .73 .75 .75 .73 .75 9. 545524 .545928 . 546331 . 546735 . 547138 . 547540 . 547943 .548345 . 548747 . 549149 6.73 6.72 6.73 6.72 6.70 6.72 6.70 6.70 6. 70 6.68 10. 454476 . 454072 . 453069 1452862 .452460 . 452057 .451655 .451253 .450851 39 38 37 30 35 34 33 32 31 30 31 32 9. 523852 . 524208 5.93 C Q'J 9. 974302 . 974257 .75 9. 549550 . 549951 6.68 10. 450450 .450049 29 28 33 34 35 .524564 . 524920 . 525275 5! 93 5.92 5QO . 974212 . 974167 . 974122 !75 .75 .550352 .550752 .551153 e!o7 6.68 A A£ . 44964S . 449248 . 448847 27 26 25 36 . 525630 . \J£, 5Q/\ . 974077 rrr .551552 O. IM . 448448 24 37 38 39 . 5259X4 ! 526693 . \J\J 5.92 5.90 5OQ . 974032 . 973987 . 973942 . /O .75 .75 *7C .551952 . 552351 . 552750 a 65 8,66 .448048 . 44764') . 447-J50 23 22 21 40 . 527046 . OO 5.90 .973897 . 75 .75 .553149 a 65 .446851 20 41 9. 527400 600 9. 973852 9. 55:y>4S A A*3 10. 446152 19 42 43 . 527753 . 528105 . 00 5.87 500 .973807 . 973761 '.77 7ft ! 554344 O. OO 6. 63 '. 445666 18 17 44 . Oo 5O7 . 973716 • lO . 554741 6. (>.. . 445259 16 45 46 .528810 . 529161 • Of 5.85 507 . 973671 . 973625 '.77 7C .555130 . 555536 6. l»3 r.. r,_' . 444X61 . 444464 15 14 47 .52% 13 . O / 5 Of .973580 . to 7K . 555033 0. tVJ . 444007 13 48 4'J .520X64 .530215 . OO ->. Sfi 5 CO . 973535 . 973489 . /O .77 .556329 . 556725 ti. t'.O 6.60 f» i«/\ . 443671 . 443275 12 11 50 .530.-.»iT, . oo 5.83 . 973444 !77 .557121 (>. oU 6.60 .442879 10 51 9. 530915 t oo 9. 973398 77 9.557517 A f\f\ 10. 442483 9 52 . 531265 O* 00 . / / 7ft . 657913 0. iJU A KC .442087 8 53 54 56 56 67 68 59 60 .531614 .581963 .532312 .532661 .083009 . 533357 . 533704 9.534062 s!s2 5.82 5. X2 5.80 5. SO 5. 7X 5. SO . 97X307 .978061 .07321.-. .973169 . 973124 .973078 .973082 9.972986 . to .77 .77 .77 .75 .77 .77 .77 . 55X30S '. 559097 . 550401 • 0. Oo 6.58 6.57 6.57 6.57 6.57 6.57 6.55 . 441092 . 441297 .440903 .440509 .4-10115 . 439721 . 430327 10.438934 7 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Cotanp. D. 1". Tang. ' 109° 70° 146 20° TAMJKNTS, AND COTANOKVI's. • Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 9.594052 .534309 5.78 9.9729M . '.I7L-.MO .77 --> «.»..-,«; I in n; .561450 6.55 10.438034 .438641 CO u 1 3 4 5 . .VM74:. .535002 .535438 5. 77 5.78 5.77 5.75 e T*7 . '.'7_'S'.M ! 072802 . // .77 .77 .78 77 .561851 ' :!.;2u{ii f,' U 6.53 ti. ;.:; .438149 .436972 58 57 U 6 7 8 .536129 .536474 .536818 O. If 5.75 5.73 e «7c .072709 .972663 • // .77 .77 7O ! 564202 a 53 f,. .-,.- .496581 .436189 . 435798 54 53 52 9 10 .537163 .537507 5. 75 5.73 5.73 . 10 .77 .77 ! 864983 ••!; -!r. 6.50 . 435407 .435017 51 50 11 12 13 14 15 16 17 18 19 20 9.537851 .538104 i 538880 '. o.sir.r.-, .539907 . 540249 .548500 .540931 .V 72 5.73 5.70 5.70 5.70 5.68 5.68 5.68 5.68 9.972478 [ 072338 • l-'i'v'1! ! 972108 . 972151 .972105 .972058 .78 .77 .78 .78 .77 .78 .78 .77 .78 .78 9. .565373 .566153 .566542 [ 567320 .567709 .568098 .568486 .568873 6.50 6.50 «;. 4* 6.50 6.47 6.48 6.48 6.47 6.45 6.47 10. 434627 .433847 .433458 . 4330*18 ! 432291 .431902 ! 431127 49 48 47 46 45 44 43 42 41 40 21 B 23 9. 541272 .541613 .541053 5.68 5.67 9.972011 .971984 . 971917 .78 .78 7fl '. 560648 .570035 6.45 6.45 A A*\ 10. 430739 .490952 39 38 37 24 25 26 27 28 29 30 ! 542833 .542071 .543310 .543640 '. 544325 5! 65 5.65 5.65 5.65 5.63 5.63 5.63 .971870 . 971823 . 971776 . 971729 .971682 .971635 .971888 • 10 .78 .78 .78 .78 .78 .78 .80 .570422 .670809 .571195 .5715N1 .571967 . 5723.52 .572738 <>. -i.) 6.45 6.43 6.43 6.43 6.42 6.43 6.42 [ 429101 .428805 .428410 .428033 .477648 .427262 35 34 33 32 31 30 31 32 33 9. 544663 .545000 .545338 5.62 5.63 e fif\ 9. 971540 .971493 .971446 .78 .78 VM 9. 573123 .573507 6.40 6.42 A in 10.426877 [426108 29 28 27 34 35 36 37 38 •J .545674 .546011 .546347 .547019 O. uU 5. Ii2 5.60 5.60 5.60 5.58 C CO .971398 .971351 .971303 .971256 .971208 .971161 . oU .78 .80 .78 .80 .78 '. 574271; .574660 .575044 . 57.V127 .575810 .576193 0. 4U 6.40 6.40 6.35 6.38 186 A Qfi [425340 . 4-M'Oi [424100 .423807 26 25 24 23 22 21 40 .547680 5. 68 5.58 .971113 . 80 .78 .576576 O. OO 6.38 .423424 20 41 42 43 44 45 46 47 9.548024 .548359 .549803 .550026 5.58 5.57 5.57 5.55 5.55 5.55 e cc 9.971066 . 971018 ! 070070 [ 970874 .070827 . 970779 .80 .80 .80 .80 .78 .80 on 9.576959 .577341 [578104 . 57S4M1 ! 578867 6.37 6.37 6.35 6.37 6.35 6.35 10.423041 »4jB660 . 422277 .421806 .421514 .421133 •420752 19 18 17 16 15 14 13 48 49 50 .550602 .551024 5. 66 5.55 5.53 5.53 .970731 .070689 .970635 . ou .80 .80 .82 [579629 6.33 ti. :« 6.33 [ 4l'.*.»\ .419611 12 11 10 51 52 53 54 55 56 57 58 59 CO 9. 551356 .551687 .552018 .553010 .553341 .554000 9.554329 5.52 5.52 5.52 5.52 5.50 5.48 5.50 5.48 9.9*0886 ! 970490 .970442 .970804 .970346 .970249 .970200 9. 970152 .80 .80 .80 .80 .82 .90 ..SI) . S2 .80 9.580769 .581149 .581528 .581907 [582065 .589044 .593422 .598800 '.» :.M1 77 6.33 6.32 f,. :;•_> 6.32 6.32 6.32 6.30 190 ft •> 10. 419231 .41985] .418472 .418003 .417714 .410956 .419578 .410200 10. 415823 1 8 6* 5 4 3 2 1 0 • Cosine. D 1". Sine. D. 1". Cotang. D. 1". Tang. i 110° 147 21' TABLE 9.— LOGARITHMIC SINES, COSINES, 158e ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9.554329 9. 970 152 9.584177 10. 415S23 60 1 f>. -JS 5AQ . 970103 . 82 on . 584555 6. 30 A OQ . 415445 2 3 .555315 . 0 5.47 547 .070055 . 970000 . oU .82 . 5S4932 .585309 U. J>» 6.28 A Oft . 4150(W . 414(i91 58 57 4 . •*' .060057 " °*- .585686 0. 40 .414314 56 5 6 5. 47 5.47 .060909 . 80 .82 . 580002 . 580439 0. 27 6.28 .413938 .413561 55 54 7 .556626 5. 45 r t r. .909811 89 .58681.5 6. 27 6OC 53 8 Sjtf . 909702 en . 587190 . &} f> r>7 ! 412810 52 9 10 .557280 .557606 . 4o 5.43 5.43 .060714 .909005 . oO .82 .82 . 587566 . 587941 u. 2. i 6.25 6.25 .412434 .412059 51 50 11 9.557932 5 JO 9. '.109010 CO 9.588316 A 9 •"» 10.411(«4 49 12 . -,.-,xj.-,s . 3o 5 JO . 909.507 . O.J GO . 588691 U. £O A OK . 411309 48 13 14 ! 558909 . -1- 5.43 5. 42 . 909518 . 909409 • I *- .82 .589066 . 589440 0. ^O 6.23 A O7 . 410934 47 46 15 . 559234 5A(\ . 909420 n .589814 U. - - • GOO . 410180 45 16 17 ! 559SS3 . 4U 5.42 . 909370 . 969321 . oo .82 .590188 .590562 . 2- > 6.23 A OO . 409812 . 409438 44 43 18 19 20 .560207 .560531 .560855 5^40 5.40 5.38 . 9092T2 . 909223 . 909173 !S2 .83 .82 .590935 .591308 .591681 U. - - 6.22 0. 22 0. 22 . 409. -J 6.20 6.18 A on . 407201 ! 406458 37 36 26 27 28 ! 562790 .563112 . o/ 5.37 5.35 507 . 90S.S77 .068827 .968777 !83 .83 .593914 .59428.5 . 594656 0. Z\) 6.18 6.18 A 1 Q . 4000SO . 40571.5 . 4tt5344 34 32 29 30 '. 563755 . 564075 • Of 5.33 5.35 . 908728 . liusOTS !83 .83 . 595027 0. lo 6.18 6.17 . 404973 . 404002 31 30 31 9. 564396 500 9. 968028 00 9. 595768 A 1 7 10. 404232 29 32 33 34 . 504716 . OO 5.33 5.33 500 .968578 .968.528 . 9uS479 • OO .83 .82 QO .590138 .596508 .596878 U. I/ 6.17 6.17 /• i r . 403802 . 403492 .403122 28 27 26 35 36 37 38 39 40 1565676 . 565995 .566314 .566632 .566951 .567269 . OO 5.32 5.32 5.30 5.32 5.30 5.30 .968429 .968379 .968329 . 968278 .068228 .968178 . OO .83 .83 .85 .83 .83 .83 .597247 .597616 . 597985 .508354 . 598722 u. 1«> 6.15 6.15 6.15 6.13 6.15 6.13 . 4027.53 .402384 . 40201.5 . 401040 . 4012T8 . 400909 25 24 23 22 21 20 41 42 9. 567587 .567004 5.28 9. 968128 . 968078 .83 OC ' '. 599S27 6.13 A 1O 10.40U541 . 4001 T3 19 18 43 .568222 5. 60 .968027 . ex) DO .600194 0. \.£i r i •} .309806 17 44 45 •l.i 47 48 49 50 .568856 1560488 .560804 .570120 .570435 :,'. 2s 5.27 5.27 5.27 5.27 5.25 5.27 . 907977 .967927 .087876 .967826 .067775 .087725 . 907074 . So .83 .85 .83 .85 .83 .85 .83 . OOO/iOJ .600929 . 601296 .601663 . 002029 .602761 (i. l.i 6.12 6.12 6.12 6.10 6.10 6.10 6.10 ! 300071 . 39ST04 . 398337 .307971 .307605 . 397239 16 15 14 13 12 11 10 51 52 9.570751 .571056 5.25 c oo 9. 967624 . 90757:5 .85 9. 603127 . UH49.-1 6.10 r r\Q 10. 396873 .308507 9 8 53 * 54 55 56 57 .571380 .571095 .572009 5. J.i 5.25 5. J.-i 5. 2.'i 5.22 - ,)•} .967522 .067471 .967421 . 967370 .067319 . 85 .85 .83 .85 .85 L - '. 604223 .604053 .606317 6. Us 0. OS 0. OX 6.08 0. 07 Grto .396142 . 305777 .395412 . 395047 7 6 5 4 3 58 59 60 5.20 . x.» .85 .85 .606046 9.606410 . Uo 6.07 0. 07 .394318 . 393954 10. 393.590 2 1 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 111 68' 148 22' TANGENTS, AND COTANGENTS. 157° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9.573575 5.22 '.».'> ,:ii--; .85 9.60G410 6.05 10393590 CO 2 3 4 5 6 7 8 9 10 1574200 .574512 .574824 .575136 .575447 ! 576069 .576379 .576689 5.20 5.20 5.20 5.20 5.18 5.18 5.18 5.17 5.17 5.17 . '.Hul 1") .967064 . 967013 . 966910 .900806 [966705 .966653 .85 .85 .87 .85 .85 .85 .87 .85 .87 .85 ! 607137 .007500 .007863 '. 608588 .008956 .609312 .009074 .610036 0.07 6.05 6.05 6. IK 6.05 6.03 6.03 6.03 6. (H 6.02 .392500 .392137 .391775 .391412 .391050 .390(188 . 390326 .389964 59 58 57 56 55 54 53 52 51 50 11 13 14 15 16 17 18 19 20 9.576999 .577309 .:,77., is . •|77'.»27 '. 578545 ! 579102 . 579470 . 579777 5.17 5.15 5.15 5.15 5.15 5.13 5.15 5.13 5.12 5.13 9. 966602 .966550 .966499 .966447 .906395 '. ; .966136 .87 .85 .87 .87 .85 .87 .87 .87 .87 .85 9. 610397 . 610759 . 611120 .611480 .611841 . 612201 . 612561 .612921 . 613641 6.03 6.02 6.00 6.02 6.00 6.00 6.00 6.00 6.00 5.98 10.389603 .389241 .39880 .388520 .388159 . 3N77W ! 387079 .386719 .386359 49 48 47 46 45 44 43 42 41 40 21 22 23 24 '.). .-,xi*K-, [580099 .581005 5.12 5. 12 5.10 9.966085 .96603.3 .905981 . Uti.V.r_>«.» .87 .87 .87 00 9. 614000 . 614359 .614718 . til.r.()77 5.98 5.98 5.98 c IY7 10.386000 .385641 39 38 37 36 25 26 27 28 29 30 .581312 .581618 .581924 . 582229 .582535 .082840 ':>'. 10 5.10 5.08 5.10 5.08 5.08 1965824 . !Hi,-,772 .985720 .985068 .965615 . 00 .87 .87 .87 .87 .88 .87 ! 615793 .616151 .010509 .010807 . 617224 5. vt 5.97 5.97 5.97 5.97 5.95 5.97 '. ax-i.v,-, .384207 .383849 .383491 .383133 .382776 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9.583145 ! :!vr:,'i .584058 • ™'** ! 585574 .585877 5.07 5.08 5.07 5.05 5.07 5.05 5.07 5.03 5.05 5.03 9. 965563 .905511 .965458 .905406 ! 905301 .905248 .905195 .965143 .965090 .87 .88 .87 .88 .87 .88 .88 .87 .88 .88 9. 617582 .017989 .018295 .018652 .619008 .619304 .619720 . 6200711 '. 620787 5.95 5. OS 5.95 5.93 5.93 5.93 .-,. <>:; 5.93 5.92 5.92 10. 382418 .382061 .381705 .381348 [380036 .379924 .379213 29 28 27 26 25 24 23 22 21 20 41 9.586179 5ne 9. 965037 QO 9.821142 r no 10.378858 19 42 43 44 45 .580482 .580783 .587085 .587386 . ' ' > 5.02 5.03 5.02 c no .904984 .904931 .904826 . oo .88 .87 .89 * v .021497 .621852 .022207 .022501 O. MZ 5.92 5.92 5.90 Son .378503 .378148 . 377439 18 17 16 15 46 O. \MJ r /y> .984773 • 00 00 . 622915 . .HI .377085 14 47 48 49 .587989 .588289 ! 588590 . ) . 1 7L BLOO 5.02 r /\ft .904720 .904006 .904013 . OO .90 .88 00 5,90 5.88 Son .870377 .370024 13 12 11 50 .588890 O. UU 5.00 .904500 • OO .88 .624330 . UU 5.88 10 51 9.589190 A no 9.964507 10. 375317 9 52 •889489 4. uw 5AA . '.»',! i.", 1 . vs (W\ .025036 .">. Vi 50*7 . 374964 8 53 54 55 56 57 58 1590088 .590387 . UU 4.98 4.98 4.98 •i. -.•: 4.97 4O7 .904400 .904347 .904294 .904240 .904187 .904133 . w ,88 .88 .90 ,88 .90 v . . 625388 ! 020445 .026797 . 87 ;,. ss 5.87 5.87 :,. S7 5.87 5U"7 .873907 . :<:r,v, .' '{f-N-.V 7 6 5 4 3 2 59 60 .591580 . •' • 4.97 .904080 • or) .90 9.627882 x- .372499 10.372148 1 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. I". Tang. / 112C 67' 23° TABLE 9.— LOGARITHMIC SINES, COSINES, 156° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9.591S7S 4 Q7 9.964026 9. 027852 e oe 10.372148 60 1 .592170 4. y/ .963972 . yu . 028203 O. oD . 371797 59 2 3 4 5 6 .592473 .592770 . 593067 .593363 . 593(>5y 4. 95 4.95 4.95 4.93 4.93 .963919 .863865 .963811 . 963757 .963704 .88 .90 .90 .90 .88 . 028554 . 628905 . 021)255 .029606 . 629956 5.85 5.85 5.83 5.85 5.83 .371440 . 371095 . 370745 . 370394 . 370044 58 57 56 55 54 7 8 159425] 4. 93 4.93 .963650 . 90 .90 on .630300 .630650 5. 83 5.83 r oo . 309094 . 369344 53 52 9 10 .594547 .594842 4^92 4.92 ! 963542 .903488 . yu .90 .90 .631005 .631355 »>. oZ 5.83 5.82 . 368995 .368645 51 50 11 12 9.595137 . 595432 4.92 4OO 9. 963434 . 903379 .92 OA 9. 631704 . 032053 5.82 5co 10. 368296 . 367947 49 48 13 .595727 . \fZ 4f\f\ .963325 . yu rw\ . 632402 . oz . 30759S 47 14 15 .596021 . 596315 . yu 4.90 .963271 .963217 . yo .90 . 632750 5. 80 5.82 .307250 . 300901 40 45 16 .596609 4 on .963163 'no ! 633447 5. 80 r on . 300553 44 17 .596903 *t, yu .963108 . V& .633795 O. oU .300205 43 18 19 20 . 5971% .597490 .597783 4. 88 4.90 4.88 4.87 . 963054 . 902999 . 902945 . 90 .92 .90 .92 .634143 . 034490 .034838 5. 80 5.78 5.80 5.78 .365857 .365510 . 365102 42 41 40 21 22 23 24 9.598075 . 59831 IS .508660 .598952 4.88 4.87 4.87 9. 962890 . 962830 . 962781 . 962727 .90 .92 .90 9. 635185 .635532 .635879 . 630220 5.78 5.78 5.78 10. 364815 . 364468 . 364121 . 363774 39 38 37 36 25 26 27 28 29 . 599244 .599530 . 599827 .600118 .600409 4. 87 4.87 4.85 4.85 4.85 4 Ht> . 962672 . 962617 .962562 . 962508 . 902453 . 92 .92 .92 .90 .92 OO . 030572 . 636919 .637265 .637611 . 637956 5. 77 5.78 5.77 5.77 5.75 r 77 . 363428 . 3030M .362735 . 362389 .302014 35 34 33 32 31 30 .600700 4! 83 . 962398 . .'- .92 .638302 O. / / 5.75 . 361698 30 31 32 9.600990 . 6012SO 4.83 4QO 9. 962343 . 962288 .92 9.638647 . 03X'.t'.)2 5.75 57K 10. 301353 . 361008 29 28 33 34 35 .601670 .601860 . 602150 '• QO 4.83 4.83 .962233 .962178 .'.(02123 !92 .92 QO .639337 '. (J40027 . it) 5.75 5.75 570 .300003 .360318 . ar)9973 27 26 25 36 37 . 602439 . 602728 4^82 .'.((,2007 . 962012 • yo OO .640371 . 640716 . id 5.75 P 70 . 359629 .359284 24 23 38 39 40 .603017 .003305 . 00;i5(J4 4! 80 4.82 4.80 . 961957 .961902 . 961840 * -'_ .92 .93 .92 .641000 . 641404 .0-117-17 O. /O 5.73 5.72 5.73 .358940 . 358590 22 21 20 41 42 44 46 46 47 48 5() 9. OJJ3KX2 .001170 . 604457 .604745 . 005032 .00fi31'.» .005 QO «>. OO 5AQ .353119 5 to 67 .OIIK40I 4. rO 4.73 4 7^ . 900U.V. .060809 . '.M .93 QO .647562 . DO fl. f>7 6/»0 . 352778 . 35243S 4 3 T. /.J *H»OS'lo . . '• > .647903 . Oo . 352097 2 60 ,600029 9.609313 4. 73 4.73 ! 060786 '.). 9tX»73l) .95 .93 5. 07 5.67 . 351757 10.351417 1 0 ' Cosinr. D. I". Sine. D. 1". Co tang D. 1". Tang. ' 113 150 24' TANMMs V\|> COT \\«KNTS. 1*5" ' Sin,-. D. 1". Co>inr. D. 1". Tang. D. 1". Cotang. ' 0 2 3 4 9.609313 .608907 .601880 .Mill (.4 . 610447 4.73 4.72 4.73 4.72 9.960730 .OW674 .WtiOtilS .060561 .060506 .93 QC '. wjru '. 649942 6.67 5.67 6.65 6.67 C t!C 10.351417 .851077 .350737 [350058 60 59 58 57 56 5 6 7 8 9 10 . 610729 .611012 ! 611576 .611858 .612140 4^72 4.70 4.70 4.70 4.70 4.68 .yuM-is .000302 '. 9MK79 .060222 .960165 • **• > .93 .95 .93 .95 .95 .93 1650620 . (i.50959 .651297 .661636 . 651974 0. IK) 5.65 5.65 6.63 .349719 .340380 .340041 55 64 53 62 61 50 11 12 13 14 15 9. 612421 . 612702 .612983 . 613-264 .613545 4.68 4.68 4.68 4.68 A <*7 9.960109 .960032 . uv.w, . UV.KI.-5S .95 .95 .95 .93 0. 11.52312 ! 653320 . 653(i(i3 5.63 5.63 5.63 5.62 • »••> 10. 347688 . 347350 .347012 . 346674 49 48 47 46 45 16 17 18 .613825 .61410f> «. O/ 4.67 4. 67 A AT '. 050768 .05071) "•6 .95 . itf-jom . 654337 o. oj 5.62 5.62 ! :54MX>') . 345663 .345326 44 43 42 19 20 .614665 . 614944 4. D/ 4.65 4.65 .959654 .959596 !97 .95 ! 65.5011 .655348 5. 62 5.62 5.60 . :H4!tS'.» .344652 41 40 21 22 23 24 25 26 27 28 29 9. 615223 . M. V.nj .615781 .616060 .616338 .MI.MI. .MUVM .617172 . 6174.50 4.65 4.65 4.65 4.63 4.63 4.63 4.63 4.63 (». x3r.'.» 5.60 5.60 5.60 5.60 5.60 5.58 5.58 5.58 C CO 10.344316 .343980 . 343644 .343308 . :<4L*.t7_> . 342636 .342301 .341966 . 341631 39 38 37 36 35 34 33 32 31 30 . 617727 4'. 62 .9.59023 . '•) .97 .658704 t >. OO 5.58 .341296 30 31 32 33 34 35 36 37 38 39 40 9. 618004 .618281 .618558 .618834 .619110 .619386 .619662 .619938 .620213 .620488 4.62 4.63 4.60 4.60 4.60 4.60 4.60 4.58 4.58 4.58 ! 958850 ! 958619 .958561 . avow . 9.-.X44.'. .95 .97 .97 .97 .95 .97 .97 .97 .97 .97 '. 650373 . iy.v.»7os .660042 [660710 .661043 .66J377 .661710 . 662043 5.57 5.58 5.57 5.57 5.57 5.5,5 5.57 5.55 5. .55 5. .55 10. 340961 . 340627 .3402*2 ; :««vji«o ; i«vj« I .337957 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 jo 9. 620763 .621038 .621313 .621587 ,621861 .622135 4.58 4.58 4.57 4.57 4.57 4.55 '.». 9.-.X.-IS7 ! ;»:!s-_>7i .058213 .058154 .958096 . HYMliX .97 .97 .97 .98 .97 .97 .98 9. 662376 .662700 .663042 .rrf .3707 ; 66437] 5.55 5.55 5.53 5.53 5.53 5.53 10. 337624 .337291 I HE 19 18 17 16 15 14 13 1O 4S i [622956 4.57 ! iflfirji .97 '. 6M035 5.53 K. CO ' §J%5 \l 11 50 .623229 4. 55 4.55 .957863 !98 !M6366 O. 52 5.53 10 51 9.623502 A CO 9.957804 '.'. r^oi'iOs K CO la 334302 9 52 53 54 55 . 623774 .624047 .624310 .624591 4. . KJ 4. .55 4.53 4.53 ! 057746 .057687 . '.r,7r,_>s ! 957570 '.98 .98 .« \i3SSo .666601 ! 667021 9. o£ 5.52 5.52 5.50 8 E 57 .624863 .625135 453 A RO ; •;»'-!: 'j.-.-j [5 np .667352 .687082 5! 50 K C.O 1332318 58 59 .625406 . i.J.V.77 4. 5 2 4.52 .057393 '.97 9. O2 5. .50 c c/\ .331087 I38J657 60 0. .VJ.V..1S 4.52 '.)! icIK'Tv, . 98 •'• UwStl7:{ O. dU U327 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 114° 151 25s TABLE 9.— LOGARITHMIC SINES, COSINES, 154' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. • 0 1 9. 625948 .1 12(121!) 4.52 9. 957276 . 957217 .98 9.668673 . 6TMXJ2 5.48 10. 331327 .330998 60 59 2 3 . 626490 . 6267(50 4.52 4.50 A in . 957158 . 957099 .98 .98 ! 669661 5. 50 5.48 F CA .330668 .330339 58 57 4 5 . 627030 . 627300 4. oU 4.50 4rn . 957040 .956981 Inn ! 670320 o. oU 5.48 .330009 . 329i VKO 56 55 6 . 627570 . OU 4r/\ . 9.r>ti(>21 . uu . 670049 5J7 . 329351 54 7 8 . 627S-JO .628109 . oU 4.48 41V . 956862 .956803 ill . 670977 . 671306 . 4/ 5.48 5 JO .329023 .328694 53 52 9 10 . 62X37X . 628647 . 4o 4.48 4.48 . 956744 .956684 i!oo .98 .(17 1635 .671963 . 4o 5.47 5.47 .328365 .328037 51 50 11 9. 628916 41 w' 9. '.).-,( ;«;2;> 9. 672291 c ,47 10. 327709 49 12 13 . 629185 . 629453 • 4o 4.47 4 47 ! 956508 LOO .672(119 . 672947 o. 4* 5.47 5JC .327381 . 327053 48 47 14 15 16 . 629721 .629989 . 630257 4. 4/ 4.47 4.47 A AZ . 956447 .956387 .956327 i!oo 1.00 . 673274 .673602 . 673929 . 4o 5.47 5.45 . 326726 .326398 . 326071 46 45 44 17 18 19 .630524 . (>30792 .631059 4. 4*> 4.47 4.45 4.JC .956268 ! 9561 48 i!oo 1.00 . 674257 .674584 .674911 5^45 5.45 . 325743 . 325416 . 325089 43 42 41 20 .631326 . 4o 4.45 .956089 i!oo . 675237 5. 43 5.45 .324763 40 21 9. 631593 9.956029 B. 675664 10. 324436 39 22 .631859 4. 43 4 JO . 955969 1. 00 Inn . 675890 5. 43 .324110 fi 23 . 632125 . 4o 4 4*) .955909 . UU Inn . 676217 5. 45 e ,40 . 323783 24 25 26 .632392 . 632658 .632923 4. 43 4.42 4 JO . 955849 . 955789 . 955729 . uu 1.00 1.00 Inn . 676543 . 676869 . 677194 o. 4o 5.43 5.42 C Aft . 323457 . 323131 .322806 36 35 34 27 .633189 . 4o .955669 . UU Inn . 677520 O. l- ' 5 JO . 322480 33 28 29 30 .633454 .633719 .633984 4. 42 4.42 4.42 .955609 . 955548 .955488 . UU .98 1.00 1.00 . 677846 .678171 . 678496 . 4o 5.42 5.42 5.42 .322154 .321829 . 321504 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 634249 .634514 . 634778 .635042 .635306 .635570 .' 630097 .636360 . 1136623 4.42 4.40 4.40 4.40 4.40 4.40 4.38 4.38 4.38 4.38 9. 955428 ! 955307 . !I.V.L> 17 .955186 .955126 .955065 .955005 . 954944 .954883 1.00 1.02 1.00 1.02 1.00 1.02 1.00 1.02 1.02 1.00 9. 678821 . 679146 . 679471 . 679795 .680120 . 680444 .680768 .681092 .681416 .681740 5.42 5.42 5.40 5.42 5.40 5.40 5.40 5.40 5.40 5.38 10.321179 .320854 . 320.Y29 .320205 .319880 .319556 . 319232 .318908 . 318584 .318260 29 28 27 26 25 24 23 22 21 20 41 42 43 44 45 46 47 9.636886 .637148 .637411 . 637673 . 637935 .63X1<)7 4.37 4.38 4.37 4.37 4.37 4.35 A *J7 o. ft.vivj:; '. 954701 . 954640 ! 95451 8 . 954457 1.02 1.02 1.02 1.02 1.02 1.02 Ino '.). (1X2063 . 682387 .682710 .683033 ; rk™™ .684001 5.40 5.38 5.38 5.38 5.38 5.37 5QQ 10. 317937 .317613 . 317290 .316967 . 316644 . 316321 . 315999 19 18 17 16 u 14 13 48 49 50 '. 638720 ! 639242 4. o/ 4.35 4.35 4.35 . 9.-I4.W, '. y;.427-i . ' '_ 1.02 1.02 1.02 . 684324 . IK4646 .684968 • OO 5.37 5.37 5.37 .315676 .315354 . 315032 12 11 10 51 52 53 54 55 56 57 58 59 60 ! 640024 ! M 1064 .(141 :i24 9. 641842 4.35 4.33 4. :« 4.33 4.33 4.33 4.33 4.32 4.32 9. 954213 . 954152 .954090 . 9f)4029 9! 953660 1.02 .03 .02 .02 .03 .02 .03 .02 .03 0. 6S5290 .686898 . 687219 . 687540 . IW7X61 9.688182 5.37 5.37 5.35 5.37 5.35 5.35 5.35 5.35 5.35 10.314710 .314386 .314066 . 313745 . 313423 . 313102 .312781 . 312460 .312139 10.311818 9 8 7 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 115' 152 TANGENTS, AND COTANGENTS. 153' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9.(V41S4'J .642101 .642860 .642877 .643135 .643650 .648908 4.32 4.32 4. 30 4.32 4.30 4.30 4.28 .30 8.983600 .883588 .953537 ! 863413 ! <).-,.•!_")<") !i»:i3i«",»i 1.02 1.03 LOt 1.03 1.02 1.03 1.03 1.03 1A1 9.688182 .688502 ! 089143 .(i89463 '. 090103 ! f.90742 5.33 5.32 5.33 5.33 5.33 5.33 5.33 5.32 50O 10.311818 .311498 .311177 .310857 .310537 .310217 .308887 .308677 .309258 60 59 58 57 56 55 54 53 52 8 10 .644165 .644423 '.30 .28 .863104 .953042 . Uo 1.03 1.03 .691062 .691381 . oo 5.32 5.32 .308838 .308619 51 50 11 12 9.644680 .644836 .27 9Q 9.952980 .952918 1.03 1f\e 9. G91700 .692019 5.32 519 10.308300 .307881 49 48 13 .645193 . 40 90 . <».Vj.s.Vi .UO 1A1 .692338 . .5 J 5OA .307662 47 14 15 16 17 18 19 20 .648450 .645701) .648962 .646218 .646474 .646729 .646984 . - ^ .27 .27 .27 .27 .25 .25 .27 . '.0-J7U3 .852731 .882688 .952(306 .952544 . 952481 . 952419 . Uo 1.03 1.03 1.05 1.03 1.05 1.03 1.05 .682656 ! 683612 . 093930 .694566 . oU 5.32 5.30 5.32 5.30 5.30 5.30 5.28 .307344 .307025 .306707 [ 308070 . 30-,:.vj .305434 46 45 44 43 42 41 40 21 22 23 24 25 26 9. 647240 . I1474II ! .'.1771' .648004 .r.4xL'.-^ .tV4S.-,!_> .23 .25 .25 .23 .23 . »>O 9.952356 .952294 .952231 .952168 .952106 .852043 1.03 1.05 1.05 1.03 1.05 1f\e 9.694883 .685201 .685518 .685836 . 696153 .696470 5.30 5.28 5.30 5.28 5.28 59Q 10.305117 .304799 .304482 .3041(54 .303847 .303530 39 38 37 36 35 34 27 .648766 . J.5 .851880 . UO 1 ftjl . «i!W.7.s7 • -^ = •>- .303213 33 28 29 ! 649274 • '. LM 99 . 951917 .951854 1. UO 1.05 1AC . 697103 .687420 0. -i 5.28 c 97 .802887 .302580 32 31 30 . - - .23 .951791 . UO 1.05 . 697736 O. ^/ 5.28 .302264 30 31 9. 649781 99 9.95172S <( r>'(xo.r>;5 c 9*7 10. 301947 29 32 .650034 . - - 99 .951665 " A = .688369 O* ~ I 597 .301631 28 33 . i--.vrj.s7 . - - 9ft .951602 . UO f\~ .698686 . £k 597 .301315 27 34 35 .650639 .650782 . — U .22 '11 .951539 .951476 . UO .05 ft7 .68900] .698316 - - t 5.25 r •>- .800899 .300684 26 25 36 37 . 651044 .651297 . -' ' .22 •MI .951412 .951349 . Uf .05 AC .698632 O. - / 5.25 5*>7 .300868 .800063 24 23 38 .651549 . -* ' 10 .951286 . UO A7 ! 700263 • - « C 9C .299737 22 39 .651800 . lo .951222 . Uf AC .700578 O. ZO 51- .299422 21 40 .652052 !20 .951159 . UO .05 .700893 . JO 5.25 .299107 20 41 '.i.u- _>;*<>» 1Q 9.95109G A7 9.701208 59C 10. 298792 19 42 43 ! 652806 . lo .18 Ifi .851082 .850888 • Uf .07 r\e . 701523 . 701837 . — O 5.23 5 25 .298477 .298163 18 17 44 45 .668657 .663308 • lo .18 .850905 .850841 . UO .07 AC .702152 .702466 5! 23 e rte .±>7S»s 16 15 46 . 17 .05 A7 .702781 590 14 47 ! 653808 10 .960714 • U7 .708085 . 2. > 591 .296906 13 48 .654059 . lo .860650 .708408 . £5 .296691 12 49 .664309 1 £ .850886 A7 .703722 e 90 .298278 11 50 . lo |.V,s . lo .17 .880822 -U7 .07 .704086 5! 23 .295964 10 51 ft. 664808 17 ».e804tt ft? 9.704350 599 19.298660 9 52 .666058 • If 1 C .980894 • U/ .704663 . -- 599 8 53 • tk}-}-.''.17 . lo 1 C .850330 .704876 .298024 7 54 . lo 1 z flff .705200 e 99 .294710 6 55 56 I 57 ! 656806 .680064 .686302 . 1O .15 .13 1 C .860202 .850138 .950074 • Uf .1.7 .117 A7 ! 708916 .708228 5^22 5.20 .294897 .284084 . •_* 1.177 _' 8 4 58 59 | 60 .686861 -.1! 667049 • 1O .13 .13 .960010 .J4994B . U/ .08 .07 .708841 9! 707166 5.22 5.20 ! 293146 ML 992894 2 1 0 ' I'osino. D. 1". Sine. D. 1". Cotanir. D. 1". Tang. t 116° 63° 153 TABLE ».— LOGARITHMIC SINES, COSINES, 152C ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9 10 9.657047 . 657295 . 657542 .657790 . ti.58037 ! 658531 .658778 .659025 .659271 .659517 4.13 4.12 4.13 4.12 4.12 4.12 4.12 4.12 4.10 4.10 4.10 '. 949816 . 949752 . 94UOXX . 949023 . 949558 . 949494 . 949429 . 949304 . 949300 . 949235 1.08 1.07 1.07 1.08 1.08 1.07 1.08 1.08 1.07 1.08 1.08 9. 707160 . 707478 . 707790 .708102 . 708414 . 708720 .709037 . 709349 .709060 . 709971 . 710282 5.20 5.20 5.20 5.20 5.20 5.18 5.20 5.18 5.18 5.18 5.18 10. 292834 . 292522 .1:92210 . 291898 .291586 . 291274 . 290903 . 290051 .290340 . 290029 . 289718 60 59 58 67 56 55 54 53 52 51 50 11 12 13 14 15 10 17 9. 659763 .660009 .660255 .600501 .660740 .660991 .661236 4.10 4.10 4.10 4.08 4. OS 4.08 9. 949170 . 949105 . 949040 . 948975 . 948910 . 94XX4.5 . 948780 1.08 1.08 1. 08 1.08 l.OS 1.08 9. 710593 .710904 . 7112U5 [711836 .712140 . 7124.50 5.18 5.18 5.17 5.18 5.17 5.17 10. 289407 . 2X9090 . 288785 . 288475 . 288104 .287854 . 2X7.5 -14 49 48 47 46 45 44 43 18 19 20 .661481 .661726 . 661970 4. OS 4.07 4.07 . 948715 . 94X050 .948584 1.08 1.10 1.08 .7127MJ .713070 .713380 5.17 5.17 5.17 . 287234 . 280924 .286614 42 41 40 21 9.662214 9.948519 9. 713696 10. 286304 39 22 23 24 25 26 27 28 . 662459 .602703 . 662940 .663190 .663433 .663677 .663920 4.07 4.05 4.07 4.05 4.07 4.05 . 94X4.5 1 .948388 . 94*323 ! 948192 . 948120 .94X000 1.10 1.08 1.10 1.08 1.10 1.10 .714005 .714314 . 714024 . 714933 . 715242 . 715.551 .715860 5.15 5.17 5.15 5.15 5.15 5.15 . 2*599.5 . 285680 . 285370 .285007 . 284758 . 284449 .284140 38 37 36 35 34 33 32 29 30 .604103 .664406 4.05 4.03 . 94799.5 . 947929 1.10 1.10 .716168 . 716477 5.15 5.13 .283523 31 30 31 32 33 34 9.664648 ! 605133 . 66537") 4.05 4.03 4.03 9.947863 . 947797 . 947731 .947665 1.10 1.10 1.10 9. 716785 .717093 . 717401 . 717709 5.13 5.13 5.13 10. 283215 .282907 .282599 .282291 29 28 27 26 35 36 37 38 39 40 .665617 . OOoX.-,<> .666100 .666342 .666824 4.03 4.02 4.03 4.02 4.02 4.02 .947600 .947533 .!M74( i7 . 947401 . 947335 . 947209 1.12 1.10 1.10 1.10 1.10 1.10 . 718017 . 718325 .718633 . 718940 . 719248 .719555 5.13 5.13 5.12 5.13 5.12 5.12 .281983 .281675 .281307 .281060 . 2807.52 .280445 25 24 23 22 21 20 41 42 43 44 45 40 47 48 49 ! 60730.5 .607540 .667786 .668027 .668500 .668740 4.00 4.02 4.00 4.02 4.00 4.00 4.00 9. 947203 . 947130 .'.147070 .'. (47004 .946738 .94667J 1.12 1.10 1.10 1.12 1.10 1.12 1.10 1.12 9. 719862 . 720169 . 720476 . 72(,7xl .721089 .721396 .721702 . 722009 .722315 5.12 5.12 5.12 5.10 5.12 5. 10 5.12 5.10 10. 280138 .279831 .279524 .279217 . 27X91 1 .278604 ! 277991 . 2776X5 19 is 17 16 15 14 13 12 11 50 .669225 3.98 .946604 1.10 .722021 5.10 . ii77:i7!» 10 51 52 53 54 55 9.669464 .670419 3.08 3. 9X 3.97 3. Us .946203 1.12 1.12 1.12 1.12 9. 722927 .724149 . 7244:54 5.08 5.10 5.10 .5. OX 5.08 C 1A 10. 277073 .276768 ! 276462 .276156 .2758.51 .275546 9 8 7 6 5 4 57 58 8 .(,71134 9. 671609 3.97 3.97 3.95 9! 94.5935 1.12 1.12 1.12 .724760 . 72.500.5 9. 725674 5.08 .5. OX 5.07 . 275240 ! 274630 10.27432(1 3 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' ur 154 TANGENTS, AND COTANGENTS. 151' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9. 671609 3.97 9.945035 .045868 1.12 11 -i 9. 725674 . 725979 5.08 5fW 10.274326 W) 2 .672084 • i. (J. ) . 9.J5SU) . lo . 7J.iJ.s4 . 08 5A7 58 3 4 5 6 7 8 9 10 . 07255s . (17279-, :t;732<.s .673505 .07374 1 .-,73977 3.95 3.95 3.93 3. 95 3.93 3.93 3.93 .045666 ! 045531 .9154|,4 ! 045261 1. 12 1.12 1.13 1.12 1.12 1.13 1.13 1.12 1.13 . 72U5X.S ! 727 197 . 727501 . 727x05 .728109 . 728412 . 728716 . Ot 5.07 5.05 5.07 5.07 5.07 5.05 5.07 5.07 .273112 .2731 OS .272808 .272499 .272195 .271X91 .271588 .271284 57 56 55 54 53 52 51 50 11 12 13 14 15 17 18 19 20 9. 674213 .674448 . 674919 . 675155 . 675390 .675624 ! 676094 .676328 3.92 3. 93 3.92 3.93 3.92 3. 90 3.92 3.92 3.90 3.90 9.945193 .945125 . 94505S . 94 I'.KH) . 94W2 . 944x54 . 9447s., .'.'1171s . 944050 . 9445X2 1.13 1.12 1. 13 1.13 1.13 1.13 1.13 1.13 1.13 1.13 9.729020 . 729323 . 729626 . 72s.s59 .2l»s55.i .268254 49 48 47 46 45 44 43 42 41 40 21 22 23 24 25 26 27 28 29 30 . 677030 .077731 . 678197 .678430 .678663 3.90 3.90 3.90 3.90 3.88 3.88 3.88 3.88 3.88 3.87 9. 944514 . 944446 . 944377 .944309 .914241 .944172 .944104 . 94 imr> .043067 .943899 1.13 1.15 1.13 1.13 1.15 1.13 1.13 1.15 1.13 1.15 9.732048 .732351 . 732 .<. XJ 3.80 3.82 3. so 3.80 9. IMJ44S .042308 .042230 .943168 .049000 .043000 .041060 9.941819 1.17 1.17 1. 15 1.17 1.17 1.17 1.17 1.17 1.17 0.7410Q6 . 742X5X .74. U5! 9.743752 4. 9S 4. 9X 4. 97 4.98 4. 'is 4.97 10. 258934 .L'.'.NUN .256546 HX 256248 1 8 7 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' US' «;i 155 29° TABLE 9.— LOGARITHMIC SINES, COSINES, 150° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tang. ' 0 1 2 3 4 9.685571 .685799 .686027 . (kS6254 .686482 3.80 3.80 3.78 3.80 o 70 9. 941 SI 9 . 941749 . 941079 .941009 . 941539 1.17 1.17 1.17 1.17 1 17 9. 743752 . 744050 . 744348 . 744645 . 744943 4.97 4.97 4. 95 4.97 10. 25024S .255950 .255355 .255057 60 59 58 57 56 5 6 7 8 9 10 . 686709 . 686930 .687163 . 687389 . 687616 . 687843 O. /O 3.78 3.78 3.77 3.78 3.78 3.77 . 941409 . 941398 . 941328 . 941258 .941187 .941117 1. 1 / 1.18 1.17 1.17 1.18 1.17 1.18 . 745240 . 745538 .745835 . 746132 . 740429 . 746726 4. 97 4.95 4.95 4.95 4.95 4.95 .254^60 . 2544(52 . 254165 . 253868 . 253571 . 253274 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9.688069 .688295 .688521 . 688747' .688972 . (589198 . 68942.3 . (589648 . I'OTVNM NTS. 149' ' Sine. D. 1". Cosine. D. 1". I**. D. 1". Cotang. ' 0 1 2 3 4 .689189 .689407 .689626 . I.WX 1 1 3.65 3.63 3.65 3.63 3fSO 8. 98X681 .687468 .937385 • W73L2 1.22 1.22 1.22 1.23 1QO 9.761439 .762623 .762314 .70806 4.87 4.87 4.85 4.87 4QC 10.238561 . -M7M77 . 1.M7.W4 60 59 58 57 56 5 6 7 8 9 10 .700062 .700280 [700716 [ 701 151 . Do 3.63 3.63 3.63 3.62 3.63 3.62 [937165 .987092 . 937019 .886946 [ 989799 . -- 1.22 1.22 1.22 1.23 1.22 1.23 [763188 .763479 . 763770 .764061 .764352 * oO 4.85 4.85 4.85 4.85 4.85 4.85 .237103 .888912 .888621 . 236230 .886939 .235648 55 54 53 52 51 50 11 12 13 11 U 16 17 9. 701368 .701585 .701802 .702019 .702236 . 7(»-.M.-,_' 3.62 3.62 3.62 3.62 3.60 3.62 Q i/| 9.936725 .986662 .988678 .936605 . \I:M.I\_ 1.22 1.23 1.22 1.23 1.23 1.22 100 9. 764643 .764933 .765224 .765514 .765805 [ 766385 4[85 4.83 4.85 4.83 4.83 4 OO 10. 235357 .235067 .234776 . 234486 .234195 .233905 . 233015 49 48 47 46 45 44 43 18 1702885 o. OU 0 Cf\ [iwl'in . -•> 100 .766675 . OO 400 . 233325 42 19 .788101 o. OU 3£A .936136 . -•» 7iii ;<»»;."> . OO 400 .288035 41 20 .703317 . OO 3.60 L23 [767255 .OO 4.83 .232745 40 21 U. 7i ).'{.">: W 9.935988 1 23 9.767545 4 S2 10.232455 39 22 7 i .7»W7(« 4.82 .231297 35 26 27 28 .704610 .704825 .706040 . OO 3.58 3.58 acy .935618 .935543 .986469 . £6 1.25 1.23 1OO [ 769281 .769671 4[ S2 4.83 4 89 .231008 .230719 .289429 34 33 32 29 .705254 . O/ 3 CO 935395 . -•> IOC .789860 4. x- 4 on .230140 31 30 .706469 . Oo 3.57 .935320 . -• > 1.23 .770148 . oU 4.82 .229852 30 31 32 33 9.705683 .706898 .706112 3.58 3.57 9.935246 .986171 .986097 1.25 1.23 9.770437 . 770726 . 771015 4.82 4. xj 10.229563 29 88 27 34 35 36 37 38 .706326 [ 706753 ! 707 180 3. 57 3.55 3.57 3.57 3.55 3CC .935022 . <« 4-.MX '. !«47!».x .934723 1. 25 1.23 1.25 1.25 1.25 100 .771303 .771592 .771880 .772168 .772457 4. 80 4.82 4.80 4.80 4.82 1 VI I [228408 .228120 [ 2-J7.Vi.-i 86 25 24 23 22 39 40 .707393 . 707(106 . 00 3.55 3.55 .934649 .934574 . —«> 1.25 1.25 .772745 .773033 4. oU 4.80 4.80 . 2272.V. .226967 21 20 41 42 43 44 45 46 47 48 49 50 9.707819 [708245 [708670 [709094 .709306 [709730 3.55 3.55 3.55 3.53 3.53 3.53 3.53 3.53 3.53 3.52 9.934499 .934424 . !tt J.X4-J .934274 .934199 .984123 . 934048 1.25 1.25 1.25 1.25 1.27 1.25 1.25 1.25 1.27 1.25 9.773321 .773608 .778896 .774184 .774471 . 774759 .776046 ! 776621 .775908 4.78 4.80 4.80 4.78 4.80 4.78 4.78 4.80 4.78 4.78 10.226679 [226104 .825816 .224964 .288887 •J869J8 19 18 17 16 15 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9.709941 .710163 .710864 .710675 .710786 .710997 .711208 .7114HI 9. 711839 3.53 3.52 3.52 3.52 3.52 3.52 3.52 3.50 3.50 9.933747 .938671 .98H60 . !..U-,_1_I [988869 .988293 .988217 .922*41 9.9888M 1.27 1.25 1.27 1.25 1.27 1.27 I.J7 1.27 1.25 9.77M86 .776482 ,776768 . 777(0-, . 777.-U2 .777628 .777915 .778801 .77x.ix., '.». 77x771 4.78 4.77 4.78 4.78 4.77 4.78 4.77 4.78 10.223805 .223808 [ •]?.-"M.^ .20668 [282988 .221799 .221513 10. 221226 9 8 7 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". C U.1I1-. D. 1". Tang. I 69' 157 31' TABLE 9.— LOGARITHMIC SINES, COSINES, 148C ' Sine. D. 1". Cosine. D. 1". ft*: D. 1". Cotang. ' 0 1 9. 711839 .712050 3.52 3crv 9.933066 .932990 1.27 197 9. 778774 .779060 .77 10. 221 L"_'( i . 220940 60 59 2 .712260 . OU .932914 »XY 1 97 . 779346 , 77 . 220654 58 3 . 712469 3CA . 932S38 1. - < 10T . 77W32 . / / 77 . 220368 57 4 . 712679 . OU 'J Cl) . 932762 . •- i 1 2S .77901.S . / 1 7 = .2200X2 56 5 6 . 712889 . 713098 o. OU 3.4S 3 50 . 932685 .932609 LS7 1 97 . 780203 . 780489 . /O .77 77 . 219797 .219511 55 54 7 . 713308 . 932533 i. - * 197 . 780775 . 1 t .219225 53 8 .713517 3 48 . 932457 » - < 1 28 . 781060 1 77 .218940 52 9 . 713726 3,10 . 932380 197 . 781346 7C . 218654 51 10 . 713935 . 4o 3.48 . 932304 ' mi 1.27 . 781631 • /O .75 . 218369 50 11 12 9. 714144 . 714352 3.47 9.932228 . 932151 1.28 197 9. 781916 . 782201 .75 10.21SOS4 .217799 49 48 13 14 .7145(11 .7147(19 3! 47 . 932075 . 931998 • &t 1.28 190 . 782486 . 782771 <.75 7C .217514 .217229 47 46 15 . 714978 o 47 . 931921 . zo 197 . 783056 ' . /O .21(1944 45 16 17 .715186 . 715394 o. 4/ 3.47 •i 47 . 931845 . 931768 . ~i 1.28 1 2H . 783341 . 783626 '.75 , 70 .216659 .216374 44 43 18 19 . 715(502 . 715809 o. 1i 3.45 3,47 .931691 .931614 l'.28 . 783910 . 784195 . ( •» .75 .216090 . 215805 42 41 20 .716017 » 4* 3.45 . 931537 1. 28 1.28 . 784479 '!75 . 215521 40 21 9. 716224 347 9. 931460 1OQ 9. 784764 ' ?•} 10. 215236 39 22 23 .716432 .716639 . 4/ 3.45 3 45 . 931383 .931306 .. _>» 1.28 190 . 785048 . 785332 • . /«> .73 t 71 .214952 . 214668 38 37 24 25 . 716846 . 717053 3! 45 3 43 . 931229 .931152 . 90 1.28 I 00 . 785616 .785900 . /o .73 . 214384 .214100 36 35 26 27 . 717259 .7174(16 3^45 3JC . 931075 .930998 1. _> > 1.28 . 786184 .786468 '!73 y 7Q . 213816 . 213532 34 33 28 29 . 717673 . 717879 . 4O 3.43 .930921 . 930843 i!so 1 2X . 786752 . 787036 . IO .73 79 . 213248 .212964 32 31 30 . 718085 3! 43 . 930766 L30 . 787319 • I & .73 . 212681 30 31 32 33 9. 718291 . 718497 1 718703 3.43 3.43 9. 930688 .930611 . 930533 1.28 1.30 9. 787603 . 787886 . 788170 .72 .73 10. 212397 .212114 .211830 29 28 27 34 35 .718909 .719114 3. 43 3.42 3 JO . 930456 . 930378 1.28 1.30 10/\ . 78S4S3 . 788736 . 72 .72 . 79 . 211547 .211264 26 25 36 .719320 . 4o o. 42 . 930300 . oU 1OQ .789019 . i - 72 .210981 24 37 . 719525 349 . 930223 . ZO 10/\ . 789302 , 79 . 210698 23 38 . 719730 . 1 - .930145 . oO . 789585 . i ~ 79 .210415 22 39 40 .71W35 . 720140 3! 42 3.42 . 930067 .929989 i.'ao 1.30 . 7x9x1 ;x . 790151 . ( - .72 .72 .210132 .209849 21 20 41 42 9.720345 . 720549 3.40 3 JO 9.929911 . 929833 1.30 Idn 9. 790434 . 790716 .70 . 79 10. 209566 . 2092S4 19 18 43 . 720754 . * - 340 . 929755 . oU .790999 . i - ^ 70 . 209001 17 44 45 46 47 .720958 .721162 .721. Wi .721570 . 4U 3.40 3.40 3.40 Q Af\ . 929677 . 929599 .929521 . 929442 1.30 1.30 t.32 . 791281 .791663 . 791846 . 792128 . i\t .70 .72 .70 7/\ . 208719 . 2IN437 . 208154 . 207872 16 15 14 13 4H 49 BO .721774 . 721978 . 722181 A. 4U 3.40 3.38 3.40 . 939364 . 929286 . 929207 liso 1.32 1.30 . 792410 . 792(192 . 792974 • /U .70 .70 .70 .207590 .207308 .207026 12 11 10 51 62 9. 722385 3.38 9. 929129 1.32 9. 793256 . 793538 .70 10. 206744 9 8 53 64 ! 722791 . 7229'. 14 3.38 3.38 '. 928972 1.30 1.32 . 793819 .794101 4^70 ! 206181 . 205899 7 6 65 56 57 58 . 723197 . 723400 .723805 3. .''.S 3. :« 3.38 3.37 !i»2xxiJi . 928736 • 'f2?*7 1.30 1.32 1.32 1.32 ! 794664 . 794946 4. 70 4.68 4.70 4.68 . 205617 . 205336 .206064 5 4 3 2 59 .724007 3.37 ' 928499 1.32 '. 795508 4.68 ! 204492 1 60 9. 724210 3.38 <>. 928420 1.32 9. 795789 4. C'X 10.204211 0 ' D. 1". Sine. D. 1". D. 1". Tang. ' 121' 58' 158 32" TANG I- NT*. AND COTANGENTS. 147' ' Sine. D. 1". Cosin.'. D.I". Tang. D. 1". Cotang. ' 0 1 2 3 9. 724210 .724014 .72481(1 3.37 3.37 3.37 3oe li. !L'x420 jVjsK'i 1.30 .32 .33 ! 798361 4.68 4.68 4.68 A ilfi 10. 204211 .208930 .203649 60 59 58 57 4 .725017 . OO o 07 .928104 on . 7'>''.»i:5 4. KS ! 209087 56 5 6 .796219 .795420 O. Of 3.35 • l^;'; . OM .32 on ! 797474 467 1 .-., .202806 .202526 55 54 7 . 72.V.22 o oe ! 937867 . • > J 00 .797755 4. oo 1 IX .202245 53 8 9 10 ! 726024 o. oo 3.35 3.35 3.35 . '1277x7 . '.I277I1X .927629 . • V > .32 .32 .33 .798086 .798316 .798596 4. W 4.67 469 4.68 .201964 .201684 .201404 52 51 50 11 12 13 '.». 72M20 i 72^27 3.33 3.35 O OO ' '. 987470 .927390 .32 .33 00 9.798877 . 799157 .799437 4. 07 4. 07 4*i*7 Itt 201 123 1200663 49 48 47 14 15 16 17 18 19 . 727027 . 72722s . 72742S . 72702s . 727S2S .72MI27 O. OO 3.35 3.33 3.33 3.33 3.32 311 . 927310 .927231 . 9271.51 . 927071 '926911 . oo .32 .33 .33 .33 .33 00 . 799717 . 7W.W7 .80D277 .800657 .800636 .801116 . u/ 4.67 4.07 4.67 4.65 4.67 A i'7 ! 200003 .199723 . 199443 .199164 .198884 46 45 44 43 42 41 20 . 72*227 . o*5 3.33 .926831 . OO .33 .801396 4. Of 4.65 ,198604 40 21 22 9.728427 .728686 3.32 3 on 9. 926751 .33 00 9. 801675 . SOI !».V, 4.67 4 IT 10. 198325 .198045 39 38 23 24 . 72V>2:> . 72'*r2 1 . •'_ 3.32 . 926.591 .926.511 . OO .33 00 !Mrj.~,n . Oo 4.65 A » " .197766 . 1974*7 37 36 25 26 27 29 30 '. 72!>422 .729021 .799820 .730018 .730217 3! 32 3.32 3.32 3.30 3.32 3.30 .926431 .986351 .'.121,270 .938190 .926110 .926029 . OO .33 .35 .33 .33 .35 .33 ! 803072 .803351 . 803630 .803909 .804187 4. UO 4. 07 4.65 4.65 4.65 4.63 4.65 .197208 .196928 .196649 .196370 .196091 .195813 35 34 33 32 31 30 31 32 33 34 9. 730415 . 730013 .7:«M1 .731009 3.30 3.30 3.30 9. 92.5949 '. irj.17*s .92,5707 .35 .33 .35 oe .804745 .805033 .805869 4.65 4. 03 4.65 4 ft Itt 195534 . 195255 . 194977 .194698 29 28 27 26 35 36 37 38 .731200 .7:', 14< >J . 731602 .731799 3^30 3.30 3.28 .925626 . 925545 . |rj.vjrk-, . OO .35 .33 .35 OC .805580 .806859 .886137 . 80641.5 4. Oo 4.05 4.03 4.03 4 *'M . 194420 .194141 .193863 . I'M.', V, 25 24 23 22 39 40 .781996 .732193 3! 28 3.28 :SSS . OO .35 .35 .806683 .806971 4. DO 4.63 4.03 .193307 .193029 21 20 41 42 43 44 45 46 47 48 9. 7.T2:m ! 782784 .732980 3.28 3.28 3.27 3.28 3.27 3.27 3.27 o - - ' 'f'44'M . OO 17 .809471 4. 03 11 50 . 734157 3! 27 .924409 . O/ .35 .809748 4. 62 4.62 ; \\*K<2 10 51 52 53 54 55 57 58 59 60 9.734353 . 734549 • L-\4^4 ! 738135 . TJIVUO '. 781719 .739914 9.736109 3.27 3.25 3.25 3.27 3.25 3.25 3.23 3.25 3.25 9.924328 . 924246 .924164 .934083 .934001 ! 923919 ! 'V>V;7:; 9. 923.591 .37 .37 .35 .37 ,37 1.37 1.37 9.810025 .810302 .810680 .810867 .811134 .811687 .811964 .812241 9.812517 4. 02 4.63 4.68 4... 2 4.60 4 .,2 4.62 4.00 10. 189975 ! 189420 .189143 .188866 .188590 .188313 .188036 . IS77.V.I 10. 187483 0 ' D. 1". Sine. D.I". Cotang. D. 1". Tanp. ' 159 33° TABLE 9.— LOGARITHMIC SINES, COSINES, 146' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 2 9. 736109 .730303 .736498 3.23 3.25 300 9.923591 . U 23509 . 923427 1.37 1.37 107 9.812517 . 812794 .813070 4.62 4.60 4£\f) 10. 187483 . 1S720I. . US6H3I) 60 59 58 3 . 736692 . -«) . 923345 . Ol 17.7 .813347 :. ' >- 4f\f\ . 186653 57 4 .736886 323 . Of 1 37 . 813623 . OU 4 AH . 1SB77 5« 5 6 7 8 . 737080 . 737274 . 737467 . 737661 . — o 3.23 3.22 3.23 .923181 .923098 . 923010 . 922933 L38 1.37 1.38 .813899 .814176 . 814452 .814728 :. OU 4.62 4.60 4.60 . 186101 .185824 .18554S . 185272 55 54 53 52 9 10 . 737855 .738048 3. 23 3.22 3.22 .922851 .922768 1. 37 1.38 1.37 .815004 .815280 4. 60 4.60 4.58 . 184996 .184720 51 50 11 9. 738241 9. 922686 100 9.815555 4AA 10. 184445 49 12 13 14 15 16 17 18 .738434 '. 738820 . 739013 .739206 . 739398 .739590 3! 22 3.22 3.22 3.22 3.20 3.20 . 922(303 . 922520 . 922438 . 922355 ! 922189 . 922106 . OO 1.38 1.37 1.38 1.38 1.38 1.38 .815831 . 816107 . 816382 .816668 . 816933 .817209 .817484 . OU 4.60 4.58 4.60 4.58 4.60 4.58 . 184169 .183893 . 183618 . 183342 . 183067 . 182791 . 182516 48 47 46 45 44 43 42 19 20 . 739783 . 739975 3.22 3.20 3.20 .922023 . 921940 1.38 .38 .38 .817759 .818035 4.58 4.60 4.58 . 182241 . 181965 41 40 21 9. 740167 o on 9. 921857 00 9.818310 4 CO 10. 181690 39 22 23 24 25 .740359 .740550 . 740742 .740934 O. -' ' 3.18 3.20 3.20 31 ft .921774 .921691 . 921607 .921524 . 60 .38 .40 .38 00 .818585 .818860 .819135 . 819410 . OO 4.58 4.58 4.58 . 181415 . 181140 .180865 .180590 38 37 36 35 26 27 28 29 30 .741125 . 741316 . 741508 . 741699 .741889 . lo 3.18 3.20 3.18 3.17 3.18 . 921441 . 921357 . 921274 .921190 .921107 . OO .40 .38 .40 .38 .40 .819684 .819959 .820234 .820508 .820783 4. 57 4.58 4.58 4.57 4.58 4.57 . 180316 .180041 . 179766 . 17'. 14! (2 . 179217 34 33 32 31 30 31 32 9.742080 .742271 3.18 3 1C 9. 921023 .920939 .40 00 9. 821057 . 821332 4.58 4C7 10. 178943 . 178668 29 28 33 34 35 . 74241.2 . 742652 . 742842 . lo 3.17 3.17 3 1C .920856 . 920772 .920688 . OO .40 .40 Af\ .821606 .821880 . 822154 . Ol 4.57 4.57 4 CO . 178394 . 178120 . 1 77S4i 1 27 26 25 36 . 743033 . lo 317 .920004 . 4U Aft .822429 . OO 4C7 . 177571 24 37 743223 . I/ 317 420520 . 4U Af\ .822703 . O/ 4C7 . 177297 23 38 39 .743413 . 743602 . I/ 3.15 3. 17 .920436 .920352 . "iU .40 .822977 .823251 . • ' i 4.57 4 re . 177023 . 176749 22 21 40 . 743792 . 1* 3.17 .920268 !40 .823524 . OO 4.57 . 176476 20 41 42 9. 743982 .744171 3.15 317 9. 920184 .920099 .42 8.823798 .824072 4.57 4 re 10. 176202 . 175928 19 18 43 .744:jf,l • I/ 31 K. .920015 • 40 . 824345 . OO 4C7 . 175655 17 44 45 .744650 . 744739 . lo 3.15 .919931 . 919846 !42 .824619 .824893 . O/ 4.57 . 175381 . 175107 16 15 46 . 744928 3. 15 . 919762 .40 ! 825 166 4.55 4CC . 174834 14 47 .745117 3. 15 31 ft .919677 . 42 . .S2.VI3U . OO 4r7 . 1 74.lr, l 13 48 49 50 .74630*6 . 745494 .745683 . 10 3.13 3. i:. 3.13 .919598 .919508 . 919424 '.42 .40 .42 .825713 .s2.-)!is<; .826259 . O/ 4.55 4.55 4.55 . 174287 . 174014 . 173741 12 11 10 51 52 53 54 55 57 58 59 60 9.745871 .740060 . 746248 '. 74(ir,24 .746812 1747187 9.747563 3.15 3.13 3.13 3.13 3. 13 3.12 3. 13 3.12 3.13 9.919339 .919254 .919169 .919085 .919000 . 918915 .918830 918745 .918659 9. 918574 .42 .42 .40 .42 .42 . 12 .42 .43 1.42 9. 826532 .826806 . 827078 . 827351 . 827024 . 827897 .828170 . 828442 .828715 y. s2.sys7 4.55 4.55 4.55 4.55 4.55 4.55 4.53 4.55 4.53 10. 173468 . 173195 .172922 . 172C4!» . 172376 . 172103 . 171830 . 171558 .171285 10. 171013 9 8 7 6 5 4 3 2 1 1 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 123° 160 34° TANtiENTS, AND COTANGKN Is. 145° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". iHR. ' 0 2 3 4 B 6 9. 747562 . 747749 .748123 .748310 .748497 .748683 8,12 3. 12 3.12 3.12 3.10 3 1O B. 918874 .918489 . 918404 .918147 1.42 .43 .42 .43 .42 JO 9.828987 .829532 .829805 .830349 4. 53 4.53 4.53 1 X*1 10. 171013 .170740 60 59 58 57 66 55 54 7 8 .748870 . U 3.10 .917891 . *!• > .42 .830893 4. Do 4.53 A /I'J 53 52 '. 749243 3 in .917.Sd.-i • ™ .831437 4. Oo 51 10 11 9. 749G15 . lu 3.10 3 in .917719 9. 917G34 ^42 .831709 9.831981 4.53 .168291 10. Ki8019 50 49 13 14 •749801 ! 7.50172 • 1 ' ' 3.10 3.08 31 n . 917548 .917462 ;« .43 .832253 . 832525 4! 53 4.52 4 CO .107747 .1II7L>()4 47 48 u u 17 ! 750543 . 750729 • XU :;. MS 3.10 Q no .917118 !43 .43 .833068 .833339 .833611 * •>•> 4.52 4. 53 4ro .166389 45 44 43 18 19 20 .750914 .751099 .751284 J. US 3.08 3.08 3.08 .917032 .916940 .916859 !43 .45 .43 1834154 .834425 • • ' - 4. :.:! 4.52 4.52 .166118 42 41 40 21 22 23 24 25 26 27 28 29 30 .751654 . 751839 .752023 . 752208 . 752392 . 752576 .753128 3.08 3.08 3.07 3.08 3.07 3.07 3.07 3.07 3.07 3.07 9.916773 .916687 .916600 .916514 . 916427 . 916341 . 916254 . 915994 .43 .45 .43 .45 .43 .4.5 .45 .43 .45 .45 9.834696 .834967 .835238 .835609 .835780 .8M951 .836322 . 836593 .839864 .837134 4. 52 4.52 4.52 4.52 4.52 4.52 4.52 4.52 4.50 4.52 10. 165304 .164763 . 164491 . 164220 ! u«.ii)7 .163136 .162866 39 38 37 36 35 34 33 32 31 30 31 9.753312 o /\r 9. 915907 9.837405 A Zf\ 10. 162595 29 32 33 .753495 .753679 O. l>> 3.07 0 /V7 .915820 .915733 '.45 . 837675 4. oU 4.52 28 27 34 7,'iMSli1' •j. U/ 3/VT . 915646 ' AT A r.o .161784 26 35 36 . 754046 .754229 - U/ 3. . i 3.05 .915385 .915297 '.47 Ad .839027 .839297 4. 50* 4 CO 23 22 39 3. 05 .915210 . 4o . o2 '. L60432 21 40 .754960 3! 05 '.47 .839838 4.50 . 160162 20 41 O f\K 9. 915035 9. 840108 10. 159892 19 <>. 11 » 3.03 3ffM '.47 4^50 18 17 44 . Ui 3ftO .914773 4. 4S A m 16 M 47 . 7.V.S72 .756054 . 1 '. i 3.03 3.03 .914696 . 914510 4 .4.') .47 A7 .841187 4. OU 4.50 4.50 A Xw . 168543 15 14 13 48 49 50 .756782 3! 03 3.03 3.02 . '.»! 14-J .911246 • "i ' .47 .47 .47 •I. -t^ 4.4S 4.50 .168004 12 11 10 51 • 34V) 9.914158 A~7 9.849896 10. 15719.5 9 52 53 54 55 56 57 58 59 60 .757144 . 757.507 .757688 .767869 .758050 .758230 t • I->v.v ' . UL 3.03 3.02 3.02 3.02 3.02 3.00 3.02 3.00 .914070 .913982 .913894 .913806 .913718 .913630 9.913365 . 4rf .47 .47 .47 .47 .47 .47 1.47 .848074 [843612 ! 844151 .844420 .844958 9.846227 4.48 4.48 4.4S 4.48 4.48 10. 154773 8 7 6 .5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1 ". Cqtengi D. 1". i |pfi ' 41479—10 11 161 35C TABLE 9.— LOGARITHMIC SINES, COSINES, 144' ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 9.75S591 9. 9133(55 11 V. 9. 845227 4AQ 10. 154773 60 1 2 .758772 . 758952 3! oo 3nn .913276 .913187 . 4o 1.48 1A7 . 845496 . 4o 4.47 .154504 . 154236 59 58 3 4 5 6 .759132 . 759312 . 759492 . 759672 . UU 3.00 3.00 3.00 .913099 . 913010 .912922 .912833 . 4/ 1.48 1.47 l.-IS . 846033 . 846302 . 846570 . 846839 4.' 48 4.47 4.48 4 JO . 153967 . I5:$(i!is . 153430 . 153161 57 56 55 54 7 . 7,V,)S.")L' 9 OR . 912744 1. !S . 847108 . 4o 4 ATI . 152892 53 8 .780031 -. yo . 912655 1. TO . 847376 :. 4/ . 152624 52 9 10 .760211 .760390 3. 00 2.98 .912566 . 912477 1.48 1. 4.X . 847(544 . 847913 4. 47 4.48 . L52356 .152087 51 50 2.98 1.48 4. 47 11 9. 760569 O no 9.912388 9. 848181 10. 151819 49 12 13 . 760748 .760927 p! 98 . 912299 .912210 1. 48 1.48 1AQ . 848449 . 848717 4.' 47 4AQ . l.jl.V.l 48 47 14 .761106 0 .912121 • 4o . 848986 :. 4o .' 15 10 14 46 15 . 761285 2. 98 .912031 1. 50 . 849254 4. 47 • . 150746 45 16 .761464 2O7 .911942 Ilfl .849522 4. 47 4,47 . 150478 44 17 18 19 20 .761642 . 761821 .761999 . 762177 . y/ 2.98 2.97 2.97 2.98 .911853 .911763 .911674 . 911584 . 4o 1.50 1.48 1.50 1.48 . 849790 . 850057 . 850325 .850593 . 4/ 4.45 4.47 4.47 4.47 . 150210 . I4'.i'.i4:{ '. 149407 43 42 41 40 21 9. 762356 2Q7 9.911495 1CA 9. 850861 10. 149139 39 22 23 . 762534 . 762712 . y/ 2.97 2QC .911405 .911315 . OU 1.50 1 48 ! 85 1396 4^45 . I4.VS7I . MM m 38 37 24 25 26 27 28 29 30 . 762SS!) .763067 . 763245 .763422 .763600 . 763777 .763954 . yo 2.97 2.97 2.95 2.97 2.95 2.95 2.95 .911226 .911136 .911046 . 910956 . 910866 .910776 .910686 L50 1.50 1.50 1.50 1.50 1.50 1.50 . 851664 .851931 .852199 . 852466 .852733 .853001 . 853268 4. 45 4.47 4.45 4.45 4.47 4.45 4.45 .148336 . 1480(59 . 147801 . 147534 . 147'J(17 '. I4r,7:r_> 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9. 764131 .764308 .764485 . 764662 . 764X3S . 765015 . 765191 . 765367 .765544 .765720 2.95 2.95 2.95 2.93 2.95 2.93 2.93 2.95 2.93 2.93 9. 910596 .910506 .910415 .910325 .910235 .910144 .910054 .909963 .909873 .909782 1.50 1.52 1.50 1.50 1.52 1.50 1.52 1.50 1.52 1.52 ! 853802 .8540(59 . 854336 .854603 . S.V.S70 .855137 . 855404 .855671 .855938 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.43 10. 146405 . I4M!I.X . 145931 ! 145397 '. HC.'iii ! 144062 29 28 27 •JO 25 24 23 22 21 20 41 42 43 44 45 46 47 48 It. 7rcisw .766072 .766247 .766423 . 7r.uv.ts .7r,(177.| .767124 2.93 2.92 193 2.92 2.93 2.92 2.92 9.909691 . 909001 ! 9094 19 .909328 .909237 .909146 .909055 1.50 1.52 1.52 1.52 1.52 1.52 1.52 Irn 9. 856204 .856737 .857004 . 857270 . .X57-.37 .857803 .858069 4.45 4.43 4.45 4.43 4.45 4.43 4.43 44K 10. 143796 .143529 . 1432(13 . 142996 . 142730 . 142463 . 142197 . 141931 19 18 17 10 15 14 13 12 49 50 1767475 2! irj 2.90 .908964 .908878 .Of 1.53 [858602 . 4o 4. 4:< 4.43 .141664 . 141398 11 10 51 9. 7H7649 2 DO 9.908781 1-.) 9.858868 4JQ 10. 141132 9 52 53 54 55 56 57 58 59 60 . 71 17! ' '..".» .768173 '. 768697 .768871 .769045 2.92 2.90 2.92 2.90 2.92 2.90 2.90 2.90 .908690 .908599 .908507 .908416 .908324 .908233 .908141 .908049 9.907958 . •) 1 1.53 1.52 1.53 1.52 L53 1.52 . 859134 .859400 .859666 .859932 . 860198 .860464 .860780 .860995 9.861261 . 1.1 4.43 4.43 4.43 4.43 4.43 4.43 4.42 4.43 . 14(XNiX ! 139005 10. 138739 8 7 6 5 4 3 2 1 0 / Cosine. D. 1". Sine. D. 1". Cot. 'in.tr. D. 1". Tang. ' 54C TAMJKNTS, AND COTANGENTS. 143' ' Sine. D. 1". Cocffioe. D. 1". Tang. D. 1". Cotang. ' 0 9. 769219 2
    9.861261 A At 10.138739 60 . w 2cv 1907866 . OO CO 4. 43 . 138473 59 2 3 4 5 6 7 8 9 .770606 > oo •J.'.M. 188 2.90 2.88 2.88 2.88 2.88 O fifi .907774 .907682 ! 967590 .907496 .907406 .907314 .907222 .907129 . Oo .53 .53 .53 .53 .53 .53 .55 CO .861792 .862058 . »>2323 .802589 .862854 .863119 .863385 .863650 4.43 4.42 4.43 4.42 4.42 4.43 * 4.42 A !•> .138208 .137942 .137411 .137146 .136881 . 1 :',(,<, 1.1 58 57 56 55 54 53 52 51 10 .770952 £• oo 2.88 .907037 . Oo .53 .863915 4. 4^ 4.42 .136085 50 11 9.771128 0 ws 9.906945 ee 9. 864180 1 !•' 10. 135820 49 n 13 .771298 .771470 *• OO 2.87 200 .90(5852 .906760 . 00 .53 ce .864445 .864710 4. 4z 4.42 . 1:11.1.1.1 48 47 14 r. 16 17 18 19 20 .771815 . So 2.87 2.87 2.87 2.87 2.87 2.87 2.87 .906667 .906575 .906482 .906389 .906296 .906204 .906111 . 55 .53 .55 .55 .55 .53 .55 .55 .864975 .865240 .865505 .865770 .860035 .866300 .866564 4. 42 4.42 4.42 4.42 4.42 4.42 4.40 4.42 ' 135025 . 134760 . 134495 . 134230 .133965 .133700 .133436 46 45 44 43 42 41 40 21 23 24 27 28 29 30 9. 772847 . 773018 .77.;:-:! .773533 .773704 . 773875 . 77.ii..!., .774217 . 774388 2.85 2.87 •i. 85 187 2.85 2.85 2.85 2.85 2.85 2.83 9.906018 .'.'l)V».'.-, .905832 .905739 .905645 .905552 .905469 .9053 16 .905272 .905179 .55 .55 .57 .55 .55 .55 .57 .55 .57 9.866829 .867094 . B07358 .v..7vs7 .868152 .868416 .X.,X,,M, .868945 .869209 442 4.40 4.42 4.40 4.42 4.40 4.40 4.42 4.40 4.40 10. 133171 .132906 .132642 . 132377 .132113 . 131848 . 131584 .131320 .131055 . 130791 39 38 37 36 35 34 33 32 31 30 31 32 9.774558 . 774729 2.85 9.905085 ,904992 .55 C7 9. 869473 .869737 4.40 1 in 10. 130527 . i.w>:; 29 28 33 34 35 36 38 :u .775750 .776009 2! 85 2.83 2.83 2.82 .904896 .904804 .904711 .904617 .904523 . 104429 .'-Hi.',:;-, .904241 . O/ .57 .55 .57 .57 ..-.7 .57 ..-.7 .57 .870001 '.^n~-:'' .870793 . 871057 .871321 . 871849 4. 4U 4.40 4.40 4.40 4.40 4.40 4.40 4.40 4.38 !l2973H .129471 . rj'.c'ic ! 128679 .128415 .128151 27 26 25 24 23 22 21 20 41 43 44 45 46 47 48 49 50 . 771,-L'U .776598 .778887 .777108 . 777_!;.". .777444 .777781 2.83 2.82 2.82 2.82 2.80 2.82 9. 904147 9M653 .908689 ,908064 .908770 ! 908681 .908487 .908382 .tM8B ..-,7 .57 .58 .57 .57 .58 .57 .58 .57 .58 9. 872112 .879640 .872903 .873430 .873694 .873967 .874220 .874484 4.40 4.40 4.38 4.40 4.38 4.40 4.38 4.38 4.40 4.38 10. 127888 . 126833 .126043 . 125780 19 18 17 16 15 14 13 12 11 10 n N .778119 .778287 .778456 .771624 .778792 2.82 2.80 H8B 2.80 o on •• man .908168 .908014 .903919 .90864 . 90272 ' .58 .57 .58 .58 - 9.874747 .875273 .875537 .875800 . X7'.M. , 4.38 4.38 4.40 4.38 4.38 A 'JC 10. 125253 .124990 .124200 ! 123937 58 59 60 .778960 .779128 9.779463 m, •*• ' _• Ml J. 7s 2.80 .'-'.-.•I .902889 .902444 9.902349 . OO .58 1.38 1.58 . B76S26 .876689 . 171 02 4. oo 4.38 4.38 .123674 .128411 .123148 10.122886 2 1 0 ' rosino. D. 1". Sine. D. 1". OotMfl D. 1". Tanp. ' 53' 163 37° TABLE ».— LOGARITHMIC SINES, COSINES, ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cut ling. ' 0 9. 779403 2OA 9. 902349 f\f\ 9. 877 114 4 Oft 10. 122886 60 1 2 3 4 5 .779631 . 77979S .779900 .780133 .780300 . ou 2.78 2.80 2.78 2.78 270 .902253 . 902158 . 902003 . 901U07 .901872 . OU .58 .58 .00 .58 '. 877640 .877903 . 878105 - OO 4.38 4.38 4.37 4.38 400 '. 122360 . 122097 . 12 ls;r, . 121572 59 58 57 56 55 6 7 .780467 • to 2.78 270 !901C81 '.58 f\f\ .878691 . 878953 . OO 4.37 4ov .' 121047 54 53 8 9 .780801 . to 2.78- o 77 .901585 .901490 . OU .58 fin .879210 .879478 :. OO 4.37 4OO . 1207SI 52 51 10 .781134 «. / f 2. 78 . 901394 . ou .00 .879741 :. Oo 4.37 . 120259 50 11 12 13 14 .781800 2.78 2.77 2.77 277 9.90129S .901202 .90110(i . 901010 !oo .60 fifi 9. 880003 .880628 4.37 4.38 4.37 427 10.1191*97 .119735 .119472 . 119210 49 -is -17 40 15 * t t 277 .900914 . OU .881052 . a 4 4 ¥7 . ilvii.s 45 16 .782132 . t I o 77 . 900818 rui .881314 • Ol < '-is .1W686 44 17 £. t i 277 .900722 . ou AA .881577 *J. fJO 4V" . 11S42:; 43 18 19 . 782030 . / / 2.77 277 .900020 .900529 . OU .02 f\f\ .882101 - •»! 4.37 407 .118101 .117899 42 41 20 .782790 . / / 2.75. . 900433 . OU .60 . O/ 4.37 . ii7<;:-;7 40 21 9.7S2%1 2/7 9. 900337 (\f) 4 X7 10.117375 22 23 24 . 783127 . 783458 2.75 2.77 27C .900240 .900144 .900047 . ' '- .60 .62 .883148 .883410 •1. o/ 4.35 4.37 407 .117113 . 11 (is:. 2 .116690 38 37 30 25 26 27 28 . 783023 . 783788 . 783953 .784118 . to 2.75 2.75 2.75 .899951 . 899757 .899600 : ; 02 .62 . (12 f\f\ . 883072 .883934 .884196 . 884457 . Of 4.37 4.37 4.35 A 17 '. 1 10000 ; 115543 35 34 * 29 30 . 7.S42S2 . 784447 2.75 2.75 . 899504 . 899467 . IKJ .62 .02 .884719 . 884980 4. O/ 4.35 4.37 ! 115020 31 30 31 9. 784612 9. 899370 9. 885242 10.114758 29 32 33 34 35 .784776 .784941 .785105 . 7S.YJG!) 2.73 2. 7:. 2.73 2.73 . 899273 . 899170 . 899078 .896981 . i '.2 .02 .63 . 02 .885504 .886765 . 880020 .886268 4. 37 4.35 4.35 4.37 '. ii-rjr, .113971 .113712 2s 27 96 25 36 37 98 39 40 .785597 . 785701 '7SOOS9 2. 73 2.73 2.73 2.73 2.73 2.72 '. 808787 .898689 '. sjl.s41Jl . 02 .60 .63 .62 .63 .62 .886611 . 887072 .887333 . 887594 4. 35 4. 37 4.35 4.35 4.35 4.35 .' 11292S . 1121-07 .112400 24 23 22 21 20 41 42 44 45 46 -17 48 49 50 9.786252 .786416 .786906 .787069 .787657 2.73 2. 72 2.72 2.73 2. 72 2. 72 2. 72 2.70 2. 72 2. 72 9.898397 .898104 .898006 .897906 .897810 .897712 .897614 .897510 .63 . 02 . 03 .(•:; . c,:-! . 0:1 .64 .63 9.887855 .888900 .889943 .890204 4.35 4.37 4.35 4.35 4.35 4.33 4.35 4.35 4.35 4.35 10.112145 . Ills-! .111622 .111361 . Ill 1C!) '. 110679 .11031S . i HH>:>7 19 18 17 10 15 14 13 12 11 10 51 52 53 64 55 50 .786045 .786694 2.70 2.72 2.70 2. 70 2.70 9.897418 . 897320 .897222 .897123 .897626 .896926 .61 .68 .05 .65 . 890980 .891247 .891507 .891766 4.33 - 4.35 4.33 4.35 4VO 10. 109535 . 109275 .109014 . L98753 . 108493 . 108232 9 8 7 6 5 4 60 .768850 .789018 .789180 2l 70 2. 70 2.70 .896898 .896729 .896691 0.896532 1.65 .892028 . 0V 4.35 4.33 4.35 . 107972 .107711 .107451 10. 107190 3 2 1 0 ' Cosine. D. i". Sine. D. 1". Cotang. D. 1". Tang. ' 164 38° TANGENTS, ANI» COTANGENT*. 141° ' Sine. D. 1". Cosine. D. 1". Tit* D. 1", Cotang. ' 0 1 9.789342 .789604 2.70 9.808538 . .X'..T,433 .65 9.892810 .899878 4.33 ia 107190 00 59 2 3 4 .789865 ! 789988 2.68 2.70 2.68 2r>g ! 896236 .896137 [61 .61 , - .898381 .898001 .898851 4. 35 4. :« .199069 . 1004(K1 • 199149 58 67 56 5 6 7 8 9 10 .798149 .790810 .799471 . 790032 .799793 .790954 . Oo 2.68 2.0* 2.08 2.08 2.68 2.68 .896038 .899939 .895840 .y.r.74l .895641 . WJ.V.4-J . OO .65 .65 .07 .61 .894111 '. s94.v.rj .895152 .895412 4.35 433 481 4. 33 4.33 ! Itt5108 . 104S4S .104588 55 54 53 52 51 50 11 12 13 0.7911U .7' 11 27:. .791436 2. 07 .) 9.895443 . s!».v;-i:< .07 •'] 9.895672 . S'1.V.I32 .890192 4. ;« 4.33 A 77. 10. 104328 .104018 .109908 49 48 47 14 «&.'»/ O rf'A '. 895146 r7 4. ->5 .109048 46 16 .791757 .791917 J. 1 iM 2.07 O f 7 .895046 . X'1.5945 . (>/ .07 .898712 . 890971 432 A *J1 .103029 45 44 17 18 19 20 . 7:*2077 .792557 -. ' •' 2.07 2.07 2. 07 .894846 .894746 . V.M040 .894546 !o7 .07 .67 .67 .897231 . S97491 .897751 .898010 •1. •>•> 433 433 4.32 433 . 10271,'t .102509 .148949 .101990 43 42 41 40 21 22 23 24 26 27 28 29 30 9. 792716 .792870 .7'.>:{o:;:, .799196 .7'.'.'.:-:.-,} . 793073 . 793832 .7939M1 . 794150 2.07 2.07 2.05 2.07 2. 05 8L6I 2.05 2.63 9. S94440 .894B46 .894948 .894146 .894046 ! xiuvni .893745 .890991 .67 .67 .07 .07 .07 .67 .68 .67 .68 .67 9.898270 '. X9S7X9 .990949 . 0Mu0B . .x«H«s-.'7 .900087 '. 99599J 4.33 4.32 4.33 432 433 432 433 432 4.32 432 10. 101730 .191470 .101211 . 100951 . 1 00092 . 100432 . 100173 t4909U . 099iV, 1 .099395 39 38 37 36 35 34 33 32 31 30 31 32 33 34 9*794900 .794407 ft 61 9. 893444 .895143 .68 .67 .68 . . . 9.900864 .901124 .901648 4.33 130 4.32 A 'JO 10. 099136 . wsx™ '999917 29 28 27 26 .794942 2. 03 .893041 . (» *'« .901901 4. ->2 A 1O ! 908890 25 M .795101 j. i >•> .89940 . t»s .902160 4. •>- J OQ .897840 24 37 38 39 40 .795417 2. 63 2.03 2. (.3 2.03 2.63 . s'.rj:,:',(; M .68 .70 .68 .902420 .903197 4. .VJ 4.:i2 432 4.32 432 .009980 .0(17321 . 0970(12 k 090000 23 22 21 20 41 42 43 44 45 46 47 48 49 50 .798049 .79*830 .791 •.!••»; .791907 2.63 2.02 2.03 2.62 9.892435 .809030 .68 .68 .70 ' x .70 .68 .70 '! 9037 14 .904491 .904760 .005997 .905596 .000991 4.30 432 4.32 4.32 4. :;n 432 432 432 430 10.096544 . 0902.XO ! 0957US . 095509 ^400950 '. WAll'l .99M74 19 18 17 16 15 14 n 12 11 10 n n 54 00 58 N 60 .707777 .790047 .799403 9.798872 2.62 2.60 2.60 .891319 .viioi ; .908911 .900800 .889797 .495906 9400891 .70 .70 .70 .7n .70 .70 ,TO .70 .908809 .900000 .908819 . !>')7ii77 . '.« 17. !.'!•'> .997694 .997853 .'.HIM 11 QUOOOOOO 432 4. ::<> 432 430 432 430 432 430 4.30 ia 099057 ,009098 .093440 .009181 [909408 .(".••2117 .90*080 10,08 9 8 7 6 5 4 3 2 1 0 ' Ootftjt D. I". Sine. D. 1". CN9J9J D. 1". Tang. • -» 1 165 39< TABLE 9.— LOGARITHMIC SINES, COSINES, 140C / Sine. D. 1". Cosine. D. 1". Tang. D. 1". Co tang. ' 0 1 2 3 4 5 6 7 8 9 10 9. 798872 .799028 . 799184 . 799339 . 799495 .799651 .799806 .799962 .800117 .800272 .800427 2. GO 2.60 2.58 2.60 2. GO 2.58 2.60 2.58 2.58 2.58 2.58 9.890503 .890400 . 890195 .890093 .889990 . xxu>v; .889682 .889579 . 889477 1.72 1.70 L73 1.70 1.72 1.70 1.72 1.72 1.72 1.70 1.72 9.908369 .906886 .'.»()•.) 144 . i)(X)402 . 909660 .909918 . 910177 . 910435 . 910093 .910951 4.32 4.30 4.30 4.30 4.30 4.30 4.32 4.30 4.30 4.30 4.30 10.091631 .091372 .091114 .090856 .090598 .090340 .090082 .089823 .069565 .089307 .080049 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 9.800582 .800737 .800892 . 801047 .801201 .801356 .801511 . 801665 .801819 2.58 •2. ;>x 2.58 2.57 2.58 2.58 2.57 2.57 9.889374 . 889271 .XX'JIUS .889064 .888961 .888858 .888755 .888651 . XXX/HX 1.72 1.72 1.73 1.72 1.72 1.72 1.73 1.72 9.011208 .911467 .911725 .911982 .912498 . 912756 .913014 .913271 4.30 4.30 4.28 4.30 4.30 4.30 4.30 4.28 10. 088791 .088275 .088018 .087760 .087502 . 087244 .0X11! IXC, 49 48 47 46 45 44 43 42 41 20 .801973 2.57 2.58 .888444 1. 73 1.7-' .913529 4.30 4.30 .086471 40 21 9. 802128 9.888341 9. 913787 10. 086213 39 22 23 M 25 26 27 28 29 30 .802282 . 802436 . 802589 .802743 .802897 .803050 .803204 . NO.W.7 .803511 2.57 2.57 2.55 2.57 2.57 2.55 2.57 2.55 2.57 2.55 . s.x.s_>;',7 .888134 .888030 . 887926 .887822 . 887718 . 887614 .887510 .887406 1. 73 1.72 1.73 1.73 1.73 1.73 1.73 1.73 1.73 1.73 . 914044 . 914302 . 914560 . 914817 . 915075 .915332 . 915590 . 915847 .916104 4.28 4.30 4.30 4.28 4.30 4.28 4.30 4.28 4.28 4.30 .085956 . (>xr>r,<)x .086440 .085183 .084925 . 084668 .084410 .084153 .ONB96 38 37 36 35 34 33 32 31 30 31 32 9.803664 .809817 2.55 2CC 9.887302 .887198 1.73 17*\ 9. 916362 .910(119 4.28 40fk 10.083638 .083381 29 28 33 34 .803970 .804123 . GO 2.55 9 r\Z .887093 .886989 . /O 1.73 170 . 910877 .917134 . oil 4.28 4OQ .083123 .082866 27 26 35 36 37 38 39 40 . 804276 .804734 .804886 -. • >• > 2.55 2.55 2.55 2.53 2.55 2.53 .886886 .886671 .886362 * to 1.75 1.73 1.75 1.75 1.73 1.75 .917391 . 917648 .917906 .918163 .918420 . 918677 :. Zo 4.28 4.30 4.28 4.28 4.28 4. L'S .089609 .082352 .082094 .081837 . 081580 .081323 25 24 23 22 21 20 41 42 43 44 45 M 47 48 49 50 9.805191 .866343 .809496 . XO.-.7W .806103 .808254 .806408 ; 866667 2.53 2.53 2.53 2.53 2.53 2.53 2.52 2.53 2. :.:> 2.53 9.886257 .886152 .886047 . SX.1S37 .885732 . 886522 .869111 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.77 1.75 1.77 .919191 .919448 .919705 .920219 .990476 .920733 .ULW'IO .981347 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.28 4.27 10. 081066 .080809 .080552 .080295 .080038 .07H7S1 . 07D.Y_>4 .079267 .079010 .078753 19 18 17 16 15 14 13 12 11 10 51 9. 806709 9.885205 9.921503 400 10.078497 9 52 II 54 55 .806860 .807011 2. 52 2.52 2.53 2.52 2.52 .886100 .884094 . SX IW.i . xx I7v< 1. 75 1.77 1.75 1.77 1.77 .922017 . !r_'."_'7 J . -X 4.28 121 4.27 1. '_>s .078240 .077983 .077726 . 077470 .077213 8 7 6 5 4 57 58 59 ». 808007 '_'. •">() 2.52 2.52 2.50 1. 75 1.77 1.77 1.77 .923300 9, §3014 4. 28 4.27 4. L'S 4.28 .076956 .076700 10.076186 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Co tang. D. 1". Tang. / 129° 50 c 166 40° TANGENTS, AND COTANGENTS. 139° ' Sine. D. I". Cosine. D. 1". Tang. D. 1". Cotang. f 0 1 2 3 4 5 6 7 8 9 10 9.808967 .808218 .806368 .808519 .806669 ., si KM It .808969 .809119 .809419 .809569 2.52 2.50 2.52 2.50 2.50 2.50 2.50 2.50 2.50 2.50 2.48 '.). vs-lJ.Vl 384148 ! 883936 '. ss*;1 7 .883510 .883404 . ss: ;_•<..: .883191 * .77 .77 .77 .78 .77 .77 .78 .77 .78 .77 .78 9.983814 ! 924070 • 925096 ! 925609 .925865 .926122 .926378 427 428 427 428 427 4.27 428 427 428 427 427 10.076186 .075930 . 07".i >7:< .075417 .075160 .074904 . 074648 . 074391 .074135 '. 073622 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9.809718 .809868 .810017 .810167 .810316 .810465 .810814 .810912 .811061 2.50 2.48 2.50 2.48 2.48 2.48 2.48 2.48 2.48 2.48 9.883084 .882977 .882871 .882764 .882657 .882550 .882443 .882336 . sv_"J_"J .882121 .78 .77 .78 .78 .78 .78 .78 .78 .80 .78 9.926634 .926890 .927147 .927403 .927659 .927915 .928171 . 92S4J7 427 428 427 427 427 427 427 4. -js 427 4.27 10. 073366 .073110 .072853 . 071Z.V.I7 .072341 .07208.5 .071829 .071573 .071316 .071060 49 48 47 46 45 44 43 42 41 40 21 22 9. 81 1210 .811358 2.47 9. 882014 .881907 .78 QA 9.929196 .929452 427 4 97 10. 070804 .070548 39 38 23 24 25 26 27 28 29 30 .811507 .811655 .811804 .811952 .812100 .812248 .812396 .812544 2.47 2.48 2.47 2.47 2.47 2.47 2.47 2.47 .881799 .881692 .881584 .881477 .881369 .881261 .881153 . 881046 .78 .80 .78 .80 .80 .78 .80 .929708 .929964 .930220 . WM7.1 . !»:507.S1_ ! 931243 .931499 427 427 4.25 4.27 427 4.27 427 427 .070292 .070036 .069780 .069525 .069369 .069013 .068757 .068501 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 9.812692 .812840 .812988 .813135 .813283 .813430 .813578 2.47 2.47 2.45 2. 47 2.45 9.880938 .880830 . .ss07±.' .880613 .880505 .880397 .880289 .80 .80 ; so .80 .80 9. 931755 .932010 ^ 933033 425 427 427 4.27 425 427 10. 068245 .067990 . 067734 .087478 .067222 .066967 .086711 29 28 27 26 25 24 23 38 39 40 .813872 .814019 2.45 2.45 2.45 .880180 .880072 .879963 .80 .82 .80 ! 933800 .934056 427 425 425 .066455 .066300 .065944 22 21 20 41 42 43 44 9.814166 .814313 . 8144(10 .814607 2.4o 2.45 •2. 48 9.879855 . 879746 .879887 .879529 .82 . sj .SO 9. 934311 [935078 4. 1'7 425 4.27 10.065689 .086433 .065178 .064939 19 IS 17 16 45 46 47 48 49 50 .81 1753 .815193 .815485 2.45 2.43 2.45 2.43 •2. 4:< 2.45 .879311 .879202 .879093 .82 .82 .82 .sj .82 .935333 [986100 .986356 .936611 4.25 425 427 425 .064667 .064411 .064156 .063900 .069645 15 14 13 12 11 10 51 52 53 54 56 57 58 60 9.815632 .816507 9.816943 2.43 2.43 2.42 •2. M 2.43 2.43 2.42 •2. n 2.42 9.878766 .878656 ^sTvi;^ .878219 .878109 . 877900 .877890 9.877780 .83 .82 .83 1.82 1.83 9.936866 .937632 .997887 .98049 .998898 ! 968663 .088906 9.989168 4.25 4. •_'.-, 425 10. 063134 .063879 .663633 .063868 .002113 .081858 ! 081602 .061347 .061092 10.060837 9 8 7 6 5 4 3 2 1 0 ' Cosine. D. 1". Sine. D. 1". Ootanf, D. 1". Tang. ' 130C itr 167 41' TABLE 0.— LOGARITHMIC SINKS, COSINES, 13S° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 9.816943 .817088 .817233 2.42 2.42 9. 877780 . 877670 . 877560 1.83 1.83 100 '9.939163 .939418 . 939673 4.25 4.25 4 OK 10.060837 .060582 .060327 60 59 58 3 4 . 817524 i. 42 0 Af\ . 877450 . OO 1.83 . 939928 . 940183 . JO 4.25 4 °7 .060072 .059817 57 56 5 6 .817668 . 817813 _ . 4U 2.42 o A*) . 877230 . 877120 L83 1OO . 940439 . 940694 4,25 4 OR .059561 .059306 55 54 7 8 .817958 . 818103 J. -i - 2.42 O Af\ .877010 . 876899 . OO 1.85 100 . 940949 . 941204 . JO 4.25 4 25 .059051 .058796 53 52 .818247 - - i • ' .876789 . OO IOC .941459 400 .058541 51 10 .818392 2. 40 . 876678 . OO 1.83 .941713 • J*> 4.25 .058287 50 11 5 13 14 9. 818536 .818681 .818825 .838969 2.42 2.40 2.40 2Jrt 9.S7656S . 876457 . 876347 .876236 1.85 1.83 1.85 IOC 9. 9419GS . 942223 . H4247S . 942733 4.25 4.25 4.25 A OR 10.058032 .057777 .057522 .057267 49 48 47 46 15 .819113 . 4U 2Af\ . 876125 . oO 1QC . 9429X8 •i. — 0 . 057012 45 16 17 18 .819257 .819401 .819645 . 4U 2.40 2.40 2 40 . 876014 . 875904 .875793 . 5O 1.83 1.85 IOC . 943243 . 943498 . 943752 4^25 4.23 4 OK . 05(5757 .056502 . 056248 44 43 42 19 20 .819689 .819832 i. 38 2.40 . 875682 .875571 . rv) 1.85 1.87 . 944007 . 944262 . JO 4.25 4.25 .055993 .055738 41 40 21 22 9.819976 .820120 2.40 20Q 9. 875459 1.85 1OX 9. 944517 . 944771 4.23 4 OK 10. 055483 .055229 39 38 23 24 25 26 27 . 820263 .820406 .820650 .820693 .820836 . OO 2.38 2.40 2.38 2.38 '. 876237 .875126 . 875014 .874903 . 874791 . OO 1.85 1.87 1.85 1.87 Igc .945026 . 945281 . 945535 . 945790 . 1146045 . 23 4.25 4.23 4.25 4. 25 400 . 054974 .054719 . 0544(15 .054210 . 053955 37 36 35 34 33 28 29 30 .820979 .821122 . 821265 2. 38 2.38 2.37 .874680 .874568 .874456 - oO 1.87 1.87 1.87 . 946299 . 946554 .946808 . Jo 4.25 4.23 4.25 . OS3701 . 05344(1 .053192 32 31 30 31 32 33 9.821407 .821550 .821693 2.38 2.38 207 9. 874344 .874232 . 874121 1.87 1.85 1C7 0.0170*13 . 947318 . 947572 4.25 4.23 4 2*1 10.052937 . 0526X2 .052428 29 28 27 34 35 .821835 .821977 . "I 2.37 2OQ .874009 . 873896 • o/ 1.88 1Q7 . 947827 .948081 4. 23 4OQ .052173 .051919 26 25 36 37 38 39 . 822120 . 822546 . Oo 2.37 2.37 2.37 O Q.7 . 873784 . 873672 .873660 . Of 1.87 1.87 1.87 1 QQ. .948335 .948590 .948844 .949099 . -0 4.25 4.23 4.25 400 .051665 .051410 .051156 .050901 24 23 21 40 .822688 Z* O/ 2.37 '.873335 1. OO 1.87 .949353 . Jo 4.25 .050647 20 41 9.822830 9. 873223 1OQ 9.040606 10. 050392 19 42 43 44 45 46 48 .823114 .823821 2. 37 2.37 2.35 2.37 2. :<7 2.35 •2. Ivj .873110 ; X727.-2 .872647 . 872 1:<4 . 00 1.87 1.88 1.88 l.NX 1.87 1.88 .950116 .950371 • ^H5 ! 961133 .951388 4. 23 4.23 4. L>:> 4. 23 4. 23 4.23 4.25 .050138 . 04UXX4 .049629 . 04'.I37.'> .049121 .048867 .048612 18 17 1C, 15 14 13 12 49 50 .823063 2. 37 2.35 2.35 ! 872208 1.88 1.88 1.88 .961642 .951896 4. 23 4.23 4.23 ! 048104 11 10 51 52 2.35 o o& 9.872095 .871081 1.90 1OQ 9. 952150 .962406 4.25 10.047860 . O475'.i". 9 8 53 2. 00 . OO 4. 23 .047341 7 54 55 .824806 2. 35 2. :u O OR . s7 1 7.V> 1.88 1.90 1OO .953167 4.23 .0-170X7 .046833 6 5 56 57 .824049 A» • »• ) •) VI .00 1.90 1QO .953421 .953675 4. 23 4.23 .046579 .646325 4 3 58 59 2. M 2.35 200 .871187 .OO 1.90 1, ,, i 4. 23 4.23 .046071 2 1 60 9.825511 . 00 . yu 0.064487 4. 23 10.015563 0 ' Cosine. D. 1". Sine. D. 1". Cotang. D. 1". Tang. ' 131' 48< 168 s, \ 137' • Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9 10 9.825511 .825791 .825931 ! 826211 .8263T)1 .826491 .826631 .826910 2.33 2.33 2.33 2.33 2.33 2. :?3 2.33 2.32 2.33 2.32 9. 871073 .870960 .870846 . s7t)7:i2 .870604 .870390 .870270 .870161 .870047 .869933 1.88 1.90 1.90 1.90 1.90 1.90 1.90 1.92 1.90 1.90 1.92 9. 954437 ! io.-,2ix.' .955708 .955961 4.23 4. 2.'. 4.23 4.23 4.23 4.22 4.23 4.23 4.23 4.23 4.23 10. 045563 ! 045054 .044800 .044546 .044292 .044039 .043785 . 043.531 60 59 58 57 56 55 54 53 52 51 50 11 12 13 14 15 16 17 18 19 20 9.827049 .827189 . X2732S . 827407 . S277 4.'. . X27xx f is-jxpy . x-x:;oi 2.33 2.32 2.32 2.32 2.32 2.32 2.32 2.32 2.32 2.30 .SIMM) . M,'.>24.-> .869015 .868900 .868785 1.90 1.92 1.92 l.'K) 1.92 1.92 1.99 1.92 L92 1.92 9. 957231 '. 958247 .958500 .958754 .959008 4.23 4.23 4.23 4.23 4.22 4.23 4.23 4.23 4.23 4.22 10. 042709 . 042201 .0121X17 ! 041500 . 041240 ! 040738 .040484 40 48 47 46 45 44 43 42 41 40 21 22 23 25 26 27 28 9 30 9. 828439 ! 828716 . S2XN.V, .828993 .829131 •829407 '. x2>^; 2.32 2.30 2.32 2. 30 2.30 2.30 2.30 2.30 2.30 2.30 9.868670 .888324 .868209 .868093 . 8G7802 . 867031 1.92 1.92 1.93 1.92 1.93 1.92 1.93 1.92 1.93 1.93 9. 959769 . 960023 .960530 .960784 .961038 .961545 .961799 4.23 4.23 4.22 4.23 4.23 4.23 4.22 4.23 4.22 4. 23 10.0402:51 .039977 . 039210 .038962 .038708 . OHX4 ". .038201 . 037948 39 38 37 36 35 34 33 32 31 30 31 32 33 34 35 36 37 38 40 9.V29S21 . X2W.V.I .830097 '. 830372 .830509 . 830640 .830921 .831058 2.30 2. 30 2.28 2.30 2.28 2.28 2. 30 2.28 2. 2X 2.28 .867051 .866703 1.93 1. 03 1.93 1.93 1.93 1.93 1.93 1.95 1.93 1.95 9.902306 .962560 .963067 .903320 .963574 .963828 . 904081 .964335 ! 984588 4.23 4.22 4. 23 4.22 4.23 4.23 4.22 4.23 4.22 4.23 10.0 MB .(J35919 29 28 27 26 25 24 23 22 21 20 41 42 43 44 4;, 47 48 49 50 9. S3 110.-, .831606 .831742 .832015 .832152 2.28 2.28 2.28 2.27 2.28 2. 27 2.28 .865536 1 . •:, 1.96 1.95 l.'.C, 9. 9T.4842 . '.N '.VS.-,.-, .986362 .966889 4.22 4.22 4.22 4.22 4.22 4.23 4. 22 10.0 .034145 .033891 .033638 . .033131 .032877 19 18 17 16 15 14 13 12 11 10 52 53 .832833 2.27 2. 27 .885068 .884950 9. 907370 .987883 10.0 .032371 .032117 9 8 7 54 55 57 58 59 60 .833512 . x;;:;,-, ix 2.27 2.27 .884716 .884598 .884245 9. 864127 .95 .''7 .97 .968136 1 968643 .988896 . W.l\ P .989403 4.22 4.22 4.23 4.22 .031611 .031357 .031104 .090651 .030597 10. 030344 6 5 3 2 1 0 ' D. 1". Sine. D. 1". D. 1". Tang. ' 132 ' 43' TABLE 9.-LOGARITHMIC SINES, COSINES, 136° ' Sine. D. 1". Cosine. D. 1". Tang. D. 1". Cotang. ' 0 1 2 3 4 9.833783 .833919 .834054 . 834189 2.27 2.25 2.25 2.27 9.S64127 .864010 .863656 .95 .97 .97 .97 07 9.969656 . 909909 . 970102 . 970416 . 970669 4.22 4.22 4.23 .22 j 00 10. 030344 .030091 . 029838 .029584 .029331 60 59 58 57 56 5 ! 834460 £. &O .863538 . iff .970922 . - -- .029078 55 6 . 834595 2. 25 2oe . 863419 . 98 O/7 .971175 .22 .028825 54 7 . 834730 . 40 9 9^ . 863301 . y/ 07 . 971429 4 . 23 i OO .028571 53 8 .834865 - - - • > 200 .863183 . y/ . 971682 . - - 00 .028318 52 9 . 834999 . _ • ) O OK . 863064 O7 . 971935 . 11 . 028065 51 10 .835134 6. -• > 2.25 . 862946 . y/ .98 . 972188 < . 22 4.22 . 027812 50 11 9. 835269 200 9. 862827 9. 972441 400 10. 027.-..-)!) 49 12 n ! 835538 . £iO 2.25 . 862709 . 862590 ; i).s . 972695 . 972948 . 2,6 4.22 . 027305 . 027052 48 47 14 . 835672 2. 23 2oc . 862471 . 98 . 973201 4.22 .026799 46 15 . 835807 . &O 2OQ . 862353 no . 973454 4. 22 A OO . 02ti.r)46 45 16 17 .835941 . 836075 . _ • ^ 2.23 O ')'! . 862234 .862115 . «7O .98 . 973707 .973960 4. 22 4.22 . 02629.3 . 026040 44 43 1.) 20 .836209 . 836343 .836477 2. 2.1 2.23 2.23 2.23 . 801990 . 861877 . 861758 !98 .98 2.00 .974213 . 974466 . 974720 4. 22 4.22 4.23 4.22 . 025787 .025534 . 025280 42 41 40 21 22 9.836611 . 836745 2.23 O •)•> 9. 861638 . 861519 1.98 1OQ 9. 974973 . 975226 4.22 10. 025027 . 024774 39 38 23 24 25 26 . S36S7S . 837012 . 837146 . 837279 2,. 22 2.23 2.23 2.22 . 861400 . 861280 . 861161 .861041 . yo 2.00 1.98 2.00 . 975479 . 975732 . 9759S5 .976238 4. 22 4.22 4.22 4.22 . 024521 .024268 . 024015 . 0237(12 37 36 35 34 27 28 29 30 . 837412 . 837546 . 837679 .837812 2. 22 2.23 2.22 2.22 2.22 .860922 .860802 . 860082 .860562 1. 98 2.00 2.00 2.00 2.00 . 976491 . 976744 . 976997 . 977250 4.22 4.22 4.22 4.22 4.22 . 023509 . 0232.'J6 .023003 .022750 33 32 31 30 31 32 33 34 35 36 37 38 39 40 9.837945 .838078 .838211 1838610 . S:0 .018197 . 017944 . 017691 19 18 17 16 15 14 13 12 11 10 51 52 53 54 55 56 57 58 59 60 9. 840591 .840722 .840854 .841116 .841247 . 841378 . 841509 . 841640 9. 841771 2.18 2.20 2.18 2.18 2.18 2.18 2.18 2.18 2.18 9. 858029 .8575)08 . 857786 .857178 .857056 2.02 2.03 2.02 2.03 2.02 2.03 2.03 2.03 2.03 9. OS-ilia .982814 .988087 . '.KWJO . 983/573 .983826 • ;Mr- o! 984887 4.20 4.22 4.22 4.22 4.22 4.22 4.22 4.20 4.22 10. 017438 .0171X11 .016933 .016680 .016427 .01(117.1 .015921 .015668 .0154111 10. 015 103 9 8 7 6 5 4 3 2 1 0 ' Cosine. D. I". Sine. D. 1". Co tang. D. I". Tang. ' 133° 46° 170 •14' TANGENTS, AND COTANGENTS. ( Sine. D. 1". D. 1". Tang. D. 1". Cotang. ' 0 1 2 3 4 5 6 7 8 9 10 9.841771 .842033 .842940 .843076 2.18 2.18 2.17 2.18 2.18 2.17 2.17 | 2.18 1?. 17 •2. 17 fc*N9M .856812 .856690 .856568 .850323 .856201 .856078 .855956 . 855833 .855711 2.03 2.03 2.03 2.03 2.05 2.03 2.05 2.03 2.05 2.03 2.05 9,984887 .985090 .985343 .986696 .985848 .986101 .986354 .986607 .866860 .987112 .987365 4.22 4.22 4.22 4.20 4.22 4.22 4. 2'2 4.22 4.20 4.22 4.22 10.015163 .014910 .014657 .014404 .014152 .013899 .013640 .013393 .013140 .012888 .012635 60 59 58 57 56 55 54 53 52 51 50 11 M 9.843206 2.17 217 9.855588 2.05 2n^ i 9.987618 . UX7.X7 1 4.22 4 Oft 10.012382 .012129 49 48 13 14 M 16 .8434(36 .843596 ! 843855 . 1 i 2.15 2.17 2.17 2 1C .855342 .855219 .855096 . x,-, !•..:.-{ . Uo 2.05 2.05 2.05 2 AC .988123 .988376 .988629 .988882 . -' ' 4.22 4.22 4.22 .011877 .011624 .011371 .011118 47 46 45 44 17 18 19 20 .843984 .844114 .844243 . ID 2.17 2. 15 2.15 2.17 .854850 .854727 .854480 . UO 2.05 2.07 2.05 2.07 .989134 1989640 .989893 4! 22 4.22 4.22 4.20 .010866 .010613 .010360 .010107 43 42 41 40 21 B 23 24 25 26 27 28 29 30 9. 844502 .844/60 . 84.5018 .845662 2.15 2.15 2.15 2.15 2.15 2.15 2.15 2.13 2.15 2.13 9.854356 .854233 .854109 1853862 .853738 .853614 .853490 .853366 .853242 2.05 2.07 2.05 2.07 2.07 2.07 2.07 2.07 2.07 2.07 9.990145 .990398 .990651 .990903 .991156 .991409 . 991662 .991914 . 992167 .992420 4.22 4.22 4.20 4.22 4.22 4.22 4.20 4.22 4.22 4.20 10.009856 .009602 .009349 .009097 .008844 .008591 .008338 .008086 .007833 .007580 39 38 37 36 35 34 33 32 31 30 31 33 84 9.845790 2.15 2.13 2.13 21 e. 9.853118 .852994 . 8527 r. 2.07 2.08 2.07 2AQ 9.992672 .992925 .993178 .993431 4.22 4.22 4.22 4 Oft 10.007328 .007075 .008822 .006569 29 28 27 26 36 37 38 .846304 .846688 . 1 • > 2.13 2.13 2.13 O 1Q . 852020 .85249(5 .852371 .852247 . Uo 2.07 2.08 2.07 2n.fi .993683 .993936 .994189 .994441 . -I ) 4.22 4.22 4.20 4OQ .006317 .006064 .005811 .006559 25 24 23 22 39 40 .846944 &. Jo 2.13 2.12 .862122 .851997 . Uo 2.08 2.08 .994947 . -- 4.22 4.20 .005300 .005053 21 20 41 44 46 47 .847199 2.13 2.13 2.12 2.13 •2. 12 9.851872 .851747 .851022 .851497 .851372 .851240 .851121 2.08 2.08 2.08 2.08 2.10 2.08 9.995199 .995462 .995706 .996957 .99(5210 ,996716 4.22 4.20 4.22 4.20 4rw> 10.004801 .604548 .004043 .003790 .003537 .003285 19 18 17 10 15 14 13 48 49 .848091 I 12 .850996 .880870 '_'. C-s 2.10 ,996968 ,997221 . £& 4.22 .003032 .002779 12 11 50 .848218 2. 12 2. 1-' .850745 '_'. '!S 2.10 .997473 4.fl .002527 10 51 54 55 56 58 60 9.848345 .848699 .848726 1849106 .849359 9.849485 2.12 •-'. li > •_'. 1 J •2. in L'. 10 9.85081 ' .850493 .860368 ,850242 .850116 .849990 .849864 .8491 M 2.10 2.08 2.10 2.10 2.10 2.10 2.10 2.10 9.997736 .997979 .998281 .998484 .998787 .998989 ,999242 ,999496 ,999747 10.000000 4.22 4.22 4..'.' 4.20 4.22 4.22 4.20 4. 22 10.002274 .091769 .001510 .001011 .000758 .000505 .000253 10.000000 9 8 7 6 5 4 3 2 1 0 ' Cosim<. D. 1". Sine. D. 1". Co tang. D. 1". Tang. / 134' 171 TABLE 10.— LOGABITHMS OF NUMBERS. No. 100 L. 000.] [No. 109 L. 040. N. 0 1 2 I 4 S 6 7 8 9 Diff. 100 000000 0434 0868 1301 1734 2166 2598 3029 3461 3891 432 1 4321 4751 5181 5609 6038 6466 6894 7321 7748 8174 428 2 8600 9026 9451 9876 0300 0724 1147 1570 1993 „ . 1 _ _ 3 012837 3259 3680 4100 4521 4940 5360 5779 6197 6616 420 7033 7451 7868 8284 8700 9116 9532 9947 03(il fY77^ A1 A 5 0211S9 1603 2016 2428 2841 3252 3664 4075 4486 U/ /O 4 1 u 4896 412 6 5306 5715 9789 6125 6533 6942 7350 7757 8164 8571 8978 4 OS * " nine (\f\f\r\ lftfi.1 1<) 6629 . >< '- 1 4U4 7028 400 g 7426 7825 8223 8620 9017 9414 9811 04 0207 0602 0998 397 PROPORTIONAL PARTS. Dirt. 1 2 3 4 5 6 7 8 9 434 43.4 86.8 130.2 173.6 217.0 260.4 303.8 347.2 390.6 43.3 86.6 129.9 173.2 216. 5 259.8 303. 1 346.4 3X9.7 432 43.2 86. 4 129. 6 172 .8 2 16.0 259.2 302. 4 34 :,. 6 SSS. S 431 43.1 86.5 ) 129. 3 172 .4 2 15.5 258.6 301. 7 34 4.8 3S7. '.» 430 43.0 86.0 129. 0 172.0 215.0 258.0 301. 0 344.0 387.0 429 42.9 85. * s 128. 7 171 .6 2 14.5 257.4 300. 3 34 3.2 I'sti. 1 428 42.8 85. ( . 128. 1 171 .2 2 14.0 256.8 299. (i 34 2.4 385.' 2 427 42.7 85. < 128.1 170.8 213.5 •J.V.. 2 298.9 341.6 384.3 m 42.6 85. J > 127. 8 17C .4 2 13.0 255.6 298. 2 $ 0.8 383.4 I'.'.-, 42.5 85.0 127. B 170.0 212.5 255. 0 297.5 340. 0 3S2. 5 424 42.4 84.8 127.2 169.6 212.0 254.4 2W. S 339.2 381.6 423 42.3 84. ( i 126. 9 16£ .2 2 11.5 253.8 296. 1 33 8.4 3SO. 7 422 42.2 84.4 126.6 168.8 211.0 253.2 295. 4 337.6 379.8 421 42.1 84 5 .' 126. 3 16* t.4 2 10.5 252.6 294. 7 33 ti. S 378.9 420 42.0 84. ( 1 126. 0 16* .0 2 10.0 L'.VJ. 0 294. 0 33 6.0 378.0 419 41.9 83.8 125.7 167.6 209.5 251.4 293. 3 335.2 377.1 !ls 41. S 83. ( ; 125. 4 ie; .-2 2 09.0 250.8 292. l) 33 4.4 376.2 417 41.7 83.4 125.1 166.8 208.5 250. 2 291.9 333.6 375. 3 416 41.6 83. I 124. 8 Itt >. 4 2 os.o LM'.i.ii 291. 2 33 2.8 374.4 11.-, 41.5 83.0 124. 5 166.0 207.5 249.0 290.5 332.0 373.5 414 41.4 82.8 124.2 165.6 207.0 248.4 289. 8 33 1.2 372.6 413 41.3 82. 1 123. g 16f .2 2 00.5 247.8 289. 1 33 0.4 371.7 412 41.2 82. 1 123. Q [& .8 2 06.0 247.2 288. 4 32 9.6 370.8 Ml 41.1 82.2 123. 3 164.4 205.5 246.6 287.7 328.8 869. B 110 41.0 82. ) 123 0 .0 2 05.0 246.0 &87. 0 32 s.O 3(19. 0 409 40.0 81. 8 122. 7 1« i.e. 2 04.5 245.4 B86. 3 32 7.2 36S. 1 408 40.8 81.6 122.4 163.2 204.0 244.8 B8fc r, 326. 4 867.2 407 40.7 81. 1 122 1 16J 5.8 2 03.5 244.2 2S4. g 32 5.6 866>.t ux; 40.6 81. 2 121. 8 16i 14 2 B.O 243. 6 284. 2 8B 4.8 K&.4 405 40.5 81.0 121.5 162.0 202.5 243.0 283.5 324. 0 864.1 lf;( 40.4 80.8 121 2 Kil.fi 202.0 242.4 282.8 323.2 3»i3 6 40.3 80. i 120 '.» 16 .2 2 01.5 241.8 282. 1 32 2.4 862.? 402 40.2 80. l 120 6 m ).s 2 )!.() 241.2 2S1. 1 32 1.6 361.8 401 40.1 MI. 1 L2Q :: ttt ). 1 2 00.5 240.6 280. 7 32 0.8 31,0.9 400 40.0 80.0 120.0 160.0 200.0 240.0 180.0 320.0 360. fl 399 30 0 K 119 7 15$ 1.6 1 99.5 239.4 179. 8 31 9.2 359.1 m 19. , 119 I ) •> 1 99.0 2:K s 278. 6 31 S.4 ;',."),s. 2 807 '.m •? 79.4 119 ir.s.s 198.5 238.2 277. g 317.6 357.3 IN 39! 6 79. I 118 8 15* 14 1 98.0 287.6 277. 2 31 6.8 166.4 395 39.5 79.0 118.5 158.0 197.5 237.0 276.5 316.0 355.5 172 TABLE I«.-L"»:•? yrjs 9298 9668 • fyvjo (\Affr O77fi - - 1 C1 A YTft 8 071882 2250 2617 2985 3352 3718 4065 \)» 1 0 4451 4816 J.n-i o/U 5182 366 9 5547 5912 6276 6640 7004 7368 7731 8094 8457 8819 363 PROPORTIONAL PARTS. Dfff UlII. 395 39.5 79.0 118.5 158.0 197.5 237.0 276. « 316.0 355.5 394 39.4 78.8 118.2 157.6 197.0 236.4 275.8 315.2 354.6 393 39.3 7S.6 117 9 15" r.2 196.5 2:1,:,. s 275. 1 31 4.4 353.7 392 39.2 78.4 117 8 156.8 235.2 274. 4 313. 6 352.8 391 39.1 78.2 117 ;5 151 L4 195! 5 234.6 273. 7 31 2.8 351.9 390 39.0 78.0 117.0 u 195.0 234.0 273. 0 312.0 351.0 888 38.9 77.8 116 7 1* ','.(•> 194.5 233.4 272. 3 31 1.2 350.1 9 38.8 77.6 116.4 1944) 232.8 271. a .",1 0.4 349.2 387 38.7 77.4 116 1 15 1.8 193.5 232.2 270 9 :;< 19.6 348.3 3S6 38.6 77.2 115 8 1.4 193.0 231.6 270. a 30 8.8 347.4 385 38.5 77.0 115.5 154.0 192.5 231.0 269.5 308.0 346.6 384 28.4 76.8 iis.2 LB.4 192.0 230.4 268. g 307.2 345.6 383 38.3 76.6 114.9 153.2 191.5 22!>. X 268 306.4 889 38.2 76.4 114 (i 18 .'.S 191.0 229.2 267 .j 30 5. 6 343.8 m 38.1 IN.:; 190.5 228.6 266.7 304.8 342.' 9 880 38.0 76.0 114 0 2.0 190.0 228.0 0 30 4.0 342.0 379 37.9 75.8 113 7 li .r, I.V.I. "> 227.4 266. 3 3C 13.2 341.1 378 37.8 75.6 113.4 151.2 l.v'u'l 264 340.2 377 37.7 75.4 113 1 13 ).S 188.5 263 1.6 339.3 37$ 37.6 75.2 112 8 l.V 1.4 188.0 263 2 30 m.x 338.4 375 37.5 7.V( ) ir.'.:. 150.0 187.5 262.5 300.0 374 37.4 74.8 112.2 149.6 224.4 261.8 336.6 37.3 74.6 1 1 1 . '.» 149. 2 223.8 1 a 18.4 336.7 *7.2 74.4 Ill 6 141 v.s 223. '-> 260 4 • tf.6 334.8 371 37.1 74.2 111 3 14 L4 185.5 221 1; 259 7 21 18 333.9 37.0 74.0 111 0 14S.O 222.0 906.0 333.0 :{.,. '.i 73.8 Hi) 7 14 r.6 184.5 221.4 286 1 21 332.1 868 36.8 73.6 110.4 147.2 184.0 220.8 I 294.4 331.2 36.7 73.4 110 1 14 .. s I 21 :<. «; 330.3 366 36.6 73.2 109 8 u '..4 183.0 266 1 9 L8 :\»>. i 365 36.5 73.0 109.5 182.5 219.0 255.7 292.0 328.5 864 36.4 72.8 LOB. 2 182.0 218.4 254.8 291.2 888 :}(>. ;< 7J.i, 108.9 181.5 2M 1 X «).4 BM 36 2 72.4 108 1 1 1 i •i. i. m ^ 881 36.1 72.2 ll)s U L4 ixn :, 252 7 S 8.8 360 36.0 7-j.o 108 0 14 1.0 180.0 2:.2 8 % s n 359 35.9 71.8 107 .7 179.5 215.4 1 287. 2 358 35.8 71. r. .4 L2 214.8 250 8 2f |4 357 35.7 71.4 107 .1 2.8 178.5 240 '.i ; >| ; 356 35.6 71.2 106.8 178.0 249.2 284.8 m.4 TABLE 10.— LOGARITHMS OF NUMBERS. No. 120 L. 079.] [No. 134 L. 130. N. 0 1 2 3 4 5 6 7 8 9 Difl. 120 079181 9543 9904 l^U 02G6 0626 ()'.).> 7 1347 1707 2007 ''4'Mi 300 1 082785 3144 3503 3861 4219 4576 4934 5291 5047 6004 357 2 g 63CO ij'iO') (1710 7071 7426 7781 8136 8490 8845 9198 9552 355 0258 Oii! 1 ()!)t;:{ 1315 1007 2018 9370 2721 3071 352 4 093422 3772 4122 4471 4820 5109 5518 5806 6215 6562 349 5 6910 7257 7604 7951 8298 8044 8990 9335 9081 00' '0 346 6 100371 0715 1059 1403 1747 2091 2434 2777 3119 3402 343 7 g 3S04 7210 4146 7549 4487 7888 4828 8227 5169 8565 5510 M'03 5851 9241 0191 (I.--Q 6531 9916 GS71 341 yo/y no co 000 9 110590 0926 1263 1599 1934 2270 2C05 2940 3275 UiOo 3609 ooo 335 130 j 3943 7271 4277 7G03 4611 7934 4944 8205 5278 8595 5611 N'J2G 5943 9256 o:.'7c, 9580 6008 9915 0940 333 nojc; OOfk 2 120574 0903 1231 1560 1888 2216 2544 2871 3198 UZ*iO 3525 ooU 328 3 3S52 4178 4504 4830 5156 5481 5806 6131 0456 6781 325 4 7105 7429 7753 8076 8399 8722 9045 1*308 9690 13 0012 323 PROPORTIONAL PARTS. Difi. 1 2 3 4 5 6 7 8 9 355 35.5 71.0 106.5 142.0 177.5 213.0 248.5 284.0 319.5 354 35.4 70.8 106.2 141.6 177.0 212.4 247.8 2S3. 2 318.6 353 35.3 70.6 105.9 141.2 170. 5 211.8 217. 1 282.4 317.7 352 35.2 70.4 105.6 140.8 176.0 211.2 240. 4 281.6 316.8 351 35.1 70.2 105.3 140.4 175.5 210. 0 245.7 2S(). S 315.9 350 35.0 70.0 105.0 140.0 175.0 210.0 245.0 280.0 315.0 349 34.9 69.8 104.7 139.6 174.5 209. 4 2 14. 3 279.2 314.1 348 34.8 69.6 KM. -1 139.2 174.0 208.8 243.6 278.4 313. 2 347 34.7 69.4 104. 1 138.8 173.5 208.2 242.9 277.6 312.3 346 34.6 69.2 103.8 138.4 173.0 207.6 242. 2 276.8 311.4 345 34.5 69.0 103.5 138.0 172.5 207.0 241.5 276.0 310.5 344 34.4 68.8 103.2 137.6 172.0 20(5. 4 240.8 275.2 309.6 343 34.3 ON. C, 102.9 137.2 171.5 205. 8 210. t 274.4 308.7 342 34.2 68.4 102.6 136.8 171.0 205.2 239.4 273.6 307.8 341 34.1 102.3 196.4 170.:. 204.6 238.7 272.8 300. 9 340 34.0 68.0 102.0 138.0 170.0 201.0 238. 0 272.0 306.0 339 33.9 67.8 101.7 1C,'.). r) 203. 4 237. 3 271.2 305.1 338 33.8 67.6 101.4 135.2 189.0 202.8 •j:«i. o 270.4 304.2 :«7 33.7 67.4 101.1 134.8 202.2 303. 3 336 33.6 U7. •-' 100.8 134.4 168.0 201.6 235.2 268.8 302.4 335 33.5 67.0 100.5 134. to 167. 5 201.0 234.5 268. 0 301.5 33.4 (if,.S 100.2 133.6 107.0 200.4 233.8 267.2 300.6 838 :«. :•; r,i;. r, 99. '.» 133.2 166.5 199.8 233.1 266.4 332 33.2 <;r,. -I 99.6 132.8 166.0 199.2 2:i_'. 4 20.-). 0 298.8 881 33.1 66.2 99.3 132.4 264. 8 297.9 330 33.0 80.0 99. 0 132.0 198.0 231.0 264. 0 297.0 v# 32.9 66.8 98.7 131.6 197.4 230. 3 296.1 328 32.8 <•>.',. i\ 98.4 L31.2 164.0 196,8 295. 2 327 :<_'. 7 65.4 98.1 130. 8 163.2 I9i;.2 228.9 261.6 294. 3 326 32.6 65.2 97.8 130.4 168.0 195. 6 228.2 2' 10. S 293.4 325 32.5 65.0 97.5 i:io.() 102.5 195.0 227.5 260.0 292.5 32.4 64.8 97.2 129.6 162.0 KM. -4 22fi. s 2."9. 2 291.0 323 32.3 96.9 129.2 161.5 •.'jr.. i 258.4 290.7 322 32.2 04. 4 96.6 128.8 161.0 225.4 257. G 289.8 174 TABLE 10. -LOGARITHMS OF NUMBERS. No. 135 L. 130.] [N",». 149L. 175. »i » ; .7 . I Mil. 135 130334 0655 0977 1298 101!) 1939 2260 2680 2900 3219 321 6 3539 4177 5133 5709 6086 6403 318 7 7037 7354 7071 8303 8618 BOM 9249 9564 310 0X70 0194 0508 0822 1130 1450 1763 2076 2389 2702 314 9 143015 3327 3639 3951 42.13 4574 4885 5196 5507 5818 311 140 6128 6438 7058 7367 7676 7985 B2M 8603 8911 309 9219 ,'• »- i 0142 0756 1063 .„__ 1676 1Q_9 ^^ 2 U22B8 2594 2900 3205 3510 3815 4120 4424 4728 5032 305 3 6640 5948 6246 0540 6852 7154 7457 7759 8061 303 8664 V| -> BMW OOCwfl V- 1. ) VOM yoo/ 0168 (! lli!) 0769 1068 301 5 161308 1667 1907 2266 2564 2863 3161 3400 3758 4055 299 6 4353 4650 4947 5244 59 ! 1 5838 6134 6430 0720 297 7 7317 7013 7908 8203 X (1*7 8792 9086 9380 9074 9968 205 8 170202 0555 0848 1141 1434 1726 2019 2311 2003 2895 293 9 8186 3478 3769 4060 4881 4041 4932 5222 5512 5802 201 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 321 32.1 64.2 96.3 128.4 100.5 192.6 224.7 256.8 288.9 320 32.0 64.0 96. 0 128 .0 1 iO.O 192. 0 224. ) 25 4J.O •'NX I) 319 31.9 63.8 95.7 127. 6 159.5 191.4 223. i 255.2 287il 318 31.8 63.6 95. 1 127 .2 1 59.0 190.8 222. i 25 4.4 286.2 317 31.7 63.4 95. 1 126.8 158.5 190.2 221. ) 253.6 285.3 816 31.6 63.2 94. s 120 .4 1 58.0 221. _' 25 2.8 284.4 315 31.5 63.0 94. 5 L2 .(i 1 57.5 189.0 220. 1 •j: 2.0 283.5 314 31.4 02. s 94. 2 125 .0 11 57.0 188.4 219. s 25 1.2 282. o 313 31.3 02. 0 93.9 125.2 156.5 187.8 219.1 250.4 281.7 312 31.2 62.4 93.6 124.8 156.0 187.2 218.4 249.0 280.8 311 31.1 62.2 93.3 124 .4 155.5 186.6 217.7 24S.S 27!). '.» 310 31.0 88.0 93. 0 124 .0 1 55.0 217. i 24 8.0 270*0 309 80.9 61.8 92.7 123.6 154.5 185.4 210.3 247.2 278. 1 808 30.8 61.6 4 123 .2 L 54.0 184.8 215. . 24 6.4 800 30.7 61.4 92. 1 122 .8 1 53.5 184.2 214. ) 24 5.6 270. 3 808 30.6 61.2 91. s 122.4 153.0 214. _> 244.8 305 30.5 61.0 91. | 122 .0 1 >2.5 ivi.'n 213. "> 24 4.0 304 30.4 60.8 91. •2 121 .1, 1 52.0 182.4 212. a 24 3.2 808 30.3 60.6 00.9 121 .2 151.5 lffl.8 212.1 302 30.2 60.4 90.6 120.8 151.0 181.2 211. i 271.8 301 30.1 60.2 90.3 120.4 150.5 180.6 210.7 240.8 270.9 800 30.0 60.0 90.0 120.0 150.0 180.0 210.0 240.0 299 29.9 59.8 89. 7 119 .ii 1 •9.5 179.4 200. i 23 9.2 •"IS 29.8 59.6 V). 4 119 .2 1 10.0 178.8 208. . :'. v ; 207 29.7 59.4 BO. 1 118.8 148.5 207. i J. 108 29.6 59.2 88. s 118 .4 18.0 177.6 207. > 21 8." 8 2i-i. 1 298 29.5 59.0 88. B 118 in 1 17.5 206. :. 21 6.0 206.8 2M 29.4 58.8 88. 9 117 .6 1 17.0 80S. s 23 264.6 208 29.3 87.9 117.2 205.1 292 29.2 58.4 87.6 116.8 146.0 JO!. ! 291 29.1 58.2 87.3 203.7 2j 290 29.0 58.0 87.0 145.0 208.0 289 28. -.» 57.8 86. 7 115 14.5 173.4 202. ', 200.1 288 28, .N 57.6 80. 4 1 ll.o 201. 1 J. IX 4 2-39. 2 28.7 57.4 86.1 114.8 143.5 200.9 9.6 258,3 28.6 57.2 H.8 111.4 143.0 171.0 200.2 228.8 257.4 175 TABLE 10.— LOGARITHMS OF NTMltKKs. No. 150 L. 176.] [No. 169 L. 230. TiifY . * um. 150 j 176091 0077 6381 'J2G4 6670 9552 6959 US39 7248 7536 7825 8113 8401 8689 289 OJi I 0126 0413 0(199 O'ISti 1272 1558 287 2 1MS44 2129 2415 2700 2985 3270 3555 UJoO 3839 4123 4407 £ot 285 3 4U91 5259 5825 .,1()S 6391 6674 6956 7239 283 4 7521 7803 8084 8366 S047 8928 9209 9490 9771 0051 281 5 190332 0612 0892 1171 1451 1730 2010 2289 2567 2846 279 6 :; !•_'.-) 3403 3681 3959 4237 4514 5069 r,:54f> 5(12:5 278 7 5900 6170 6453 7005 7281 7568 7832 8107 8382 276 g 8(i57 8932 9206 9481 9755 0029 0303 (>.", 7 7 0850 1124 274 9 201397 1670 1943 2216 2488 2761 3033 3305 3577 3848 272 ICO 4120 4301 4063 4934 5204 5475 5746 6016 6286 6556 271 1 Q-"\1 ~\ 7096 Q7QQ 7365 7034 7904 8173 8441 S710 8979 9247 269 sfOlO y/oo - AAC1 0319 0586 ( is">:5 1121 1388 If'tM 1921 2(i7 3 212188 2454 UvJOl 2720 2986 3252 3518 2783 4049 1DO4 4314 4579 AD/ 266 4 4844 5109 5373 6698 5902 61/66 6430 6694 6957 7221 264 5 7484 7747 8010 8273 8536 8798 9060 9323 9585 9846 262 6 220108 0370 0631 0892 1153 1414 1675 1936 2196 2456 261 7 2716 2976 3236 3496 3755 4015 4274 4533 4792 5051 259 8 5309 5568 5826 6084 6342 6600 6858 7115 7372 7630 258 9 7887 8144 8400 8657 8913 9170 9426 9< 1X2 9938 23 0193 256 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 285 38.5 57.0 85.5 114.0 142.5 171.0 199.5 228.0 256.5 284 28.4 56.8 s.V 2 11.5.11 142. 0 170.4 198.8 227.2 2:,:.. ii 28.3 56.6 84.9 11:5.2 141.5 169.8 198.1 228.4 2v_- 56.4 S-l.ll 112.8 141.0 169.2 L97.4 225.6 1M 28.1 56.2 84.3 112.4 140.5 L68.6 Hffi.7 224.8 252. '.' Eg 2S.I) 56.0 84.0 112.0 140.0 168.0 196.0 22-1.0 2:,2. 0 279 27.9 55.8 83.7 111.6 139. 5 lf.7. 4 196.3 22M.2 2.-)!. 1 278 27. S 55.6 s:',. 4 111.2 139.0 194.6 222. -1 2.TO. 2 277 27.7 55.4 83.1 110.8 If Hi. 2 193.9 221.6 249.15 270 27.6 55.2 82.8 11!). 1 138.0 186.2 220. S 248.4 275 27.5 55.0 82.5 110.0 137.5 166.0 I'.u..-, 22(1.0 247.5 274 27. 1 54.8 82.2 109.6 137.0 1(4.4 191.8 219.2 246.6 27.3 54.6 81.9 109.2 i:5d.5 163.8 I'.H.I 2 IX. 4 245. 7 272 27.2 81.6 134.0 11.3.2 190.4 217.6 244.8 271 27.1 54.2 81.3 108. 1 135.5 1(12. (1 189.7 •Jlli.S 243.9 •_'7.n 54.0 81.0 108.0 135.0 21(1.0 245-0 26.9 53.8 80.7 134.5 1(11.4 !ss.:i 215.2 26.8 80.4 107. 2 160.8 187.6 214.4 211. 2 26.7 53.4 80.1 213.6 240. 3 53.2 79.8 133. 0 212.S 239.4 26.5 53.0 79.5 106.0 159.0 212.0 238.5 26.4 52.8 7'.». 2 105.6 132.0 158.4 184.8 211.2 2C.3 52.6 78.9 1:51.5 L84. 1 210.4 26.2 52.4 78.6 104.8 131.0 157.2 209.6 26.1 78.3 li'l. 1 156.6 182.7 208.8 234.9 78.0 104.0 182.0 208.0 234.0 51.8 155. 1 lsl.:i 207.2 233. 1 258 25.8 51.6 77. 1 206.4 257 25.7 51.4 77.1 102.8 134.2 179.9 205.6 231..S :•!.-' 1 u l 153.6 170.2 204. S 2: JO. 4 255 25.5 51.0 I'L'.n 178.5 204.0 229.5 17G TAIILK 10.-LOOAUITHMS OF M MIIKUS. No. 170 L. 230.) [No. 189 L. 278. DirT . uin. 170 BBD448 0704 0960 1215 1470 1724 1979 2234 2488 2742 255 2096 3250 3504 3757 4011 4264 4517 4770 5023 5276 253 2 6838 Ml Hi 8781 W'XlT ,s.~>ls 6285 8799 6537 9049 6780 (.i_';>'» 7041 9550 7292 1 1 v .( ) 7544 7795 252 otHU O^Jl 0050 030Q 250 4 _'!< i:,l-i H7: " 1048 1297 1546 1795 2044 2293 8641 2790 249 5 8038 8286 3534 3782 4080 4071 4525 4772 5019 8366 248 6 5513 5759 6006 6383 6408 6745 6801 7237 7482 7728 246 7079 S'M't S4l> J S~(t'( s r» \ llplx 0440 0/107 qn-io 4 vt o OriUIP crtl>* 01 uy oifO* .1 1 m y-t*io auoi *f*fo* 0176 245 s 250490 0664 0908 1151 1395 1638 1881 2125 2368 2610 243 1 2853 3096 3338 3580 3822 4064 4306 4548 4790 5031 242 180 5273 5514 5755 5996 6237 6477 6718 6958 7198 7439 241 1 7079 7918 8158 8398 8637 8877 9116 9355 9594 9833 239 2 2i.ixi71 0310 0548 0787 1025 1263 1501 1739 1976 2214 238 3 2451 1688 2925 3162 3399 3G36 3873 4109 4:5 If, 4582 237 4 4818 5054 5290 5761 8886 (12:52 6467 6702 6937 235 5 7172 7406 7641 7875 8110 8344 8578 8812 9046 9279 23 1 g 9513 9746 || |S() 0^13 0446 Ofi79 OQ12 1 144 1177 1609 233 7 271842 2074 2306 2538 2770 lA)/ *7 3001 UVM 3233 1 l^t^ 3464 lo/ / 3696 3927 232 8 4158 4389 4620 4850 5081 5311 6548 5772 6002 230 9 64G2 6692 6921 7151 7388 7609 7838 8067 8296 8525 229 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 255 25.5 51.0 76.5 102.0 127.5 153.0 178.5 204.0 229.5 254 25.4 50.8 76.2 101.6 127.0 152.4 177.8 808.3 228.6 253 25.3 50.6 75.9 101.2 126.5 151.8 177.1 BOB. 4 227.7 •a 25.2 50.4 75.6 100.8 126.0 151.2 176.4 201.6 226.8 •J.M I'.', 1 50.2 75.3 100.4 125.5 150.6 175.7 300*8 225.9 2fifl 25.0 50.0 75.0 100.0 125.0 150.0 175.0 200.0 225.0 249 24.9 49.8 74.7 99.6 124.5 1 I'.t. 4 174.3 I'.i'.i. '2 _'J4. 1 248 24. S 49.6 74.4 99.2 124.0 148.8 173. 6 198.4 247 24.7 49.4 74.1 98.8 123.5 148.2 172.9 197.6 246 24.6 49.2 73.8 98.4 123.0 147.6 196.8 221.4 245 24.5 49.0 73.5 98.0 122.5 147.0 171.5 196.0 220.5 244 24.4 48.8 73.2 !I7. »i 122.0 146.4 170.8 195.2 243 24.3 48.6 72.9 97.2 121.5 145.8 170.1 194.4 218.7 242 24.2 48.4 72.6 96.8 121.0 145.2 lf,'.». t 168,6 217.8 21] 24.1 48.2 72.3 96.4 120.5 168.7 192.8 216.9 240 24.0 48.0 72.0 96.0 120.0 144.0 168.0 192.0 216,0 239 23.9 47.8 71.7 95.6 119.5 143.4 167.3 191.2 215.1 238 23.8 47.6 71.4 95.2 119.0 142.8 166.6 190.4 237 23.7 47.4 71.1 84.8 118.5 142.2 165.9 IS.. .,', 213.3 236 23.6 47.2 70.8 94.4 118.0 141.6 165.2 IJ8.8 212.4 235 23.5 47.0 70.5 94.0 117.5 141.0 164.5 188.0 -Ml..-) 234 23.4 46.8 70.2 93.6 117.0 140.4 163.8 187.2 •JlO.f. 231 23.3 46.6 oo. g 93.2 116.6 163.1 186.4 200.7 232 •_':<. -' 4ii. 1 88,6 92.8 116.0 162.4 185.6 208.8 231 23.1 46.2 .,'»..; 92.4 115.5 161.7 184.8 201.0 210 tt.0 46.0 69.0 92.0 115.0 138.0 161.0 184.0 207.0 229 22.9 68.7 91.6 114.5 137.4 160.3 ui.2 206.1 228 IT.', s 68.4 91.2 114.0 186.8 188.6 IS'-'. I 206.3 227 45.4 68.1 88.8 113.5 136.2 168.8 184.6 204.3 226 22.6 67.8 90.4 113.0 135.6 158.2 180.8 203.4 41479-10 12 177 TABLE 10.— LOGARITHMS OF NUMBERS. No. 190 L. 278.] [No. 214 L. 332. N. 0 1 2 3 4 5 6 7 8 9 Dill. 190 278754 8982 9211 9439 9067 9698 ni9** 0351 0578 0806 998 1 281033 1261 1488 1715 1942 2169 2396 2622 2849 3075 227 2 3301 3527 3753 3979 4205 4431 4656 4882 5107 5332 226 3 5557 5782 (1007 6232 0450 0905 7130 7354 7578 225 4 7802 8026 8249 8473 80% 8920 9143 9366 9589 9812 223 5 290035 0257 0480 0702 0925 1147 1369 1591 1813 2034 222 6 2256 2478 2099 2920 3141 3363 3584 3804 4025 42.1(1 221 7 4466 4687 4907 5127 5347 5567 5787 0007 6226 6446 220 S A 6665 8853 0884 9071 7104 7323 9507 7542 9725 7761 9943 7979 8198 8416 8635 219 • 0161 (1070 ~7T7~ ..„ 918 200 301030 1247 1464 1681 1898 2114 2331 Uo/o 2547 2764 2980 217 1 3196 3412 3628 3844 4059 4275 4491 4700 4921 5136 216 2 5351 5500 5781 5996 6211 6425 0039 6854 7068 7282 215 3 7496 7710 7924 8137 8351 8564 8778 8991 9204 9417 213 ; ?^?_ _9843^ 0056 0208 0481 0898 0906 1118 1330 1542 212 5 311754 1966 2177 2389 2600 2S12 3023 3234 3445 3056 211 6 3867 4078 4289 4499 4710 4920 5130 5340 5551 5700 210 7 5970 6180 0390 6599 0809 7018 7227 7430 7040 7854 209 8 8063 8272 8481 8089 8898 9106 9314 9522 9730 INKS 208 9 320146 0354 0562 0769 0977 1184 1391 1598 1805 2012 207 210 2219 2426 2633 2839 3046 3252 3458 3665 3871 4077 206 1 4282 4488 4694 4899 5105 5310 5516 5721 5926 6131 205 2 6336 6511 6745 §950 7155 7359 7563 7767 7972 8176 204 3 BUG 8583 8787 8991 9194 9898 9(501 9805 0008 0^11 203 4 330414 0617 0819 1022 1225 1427 | 1630 1832 2034 2236 202 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 225 22.5 45.0 67.5 90.0 112.5 135.0 157.5 180.0 202.5 224 22.4 44.8 67.2 89.6 112.0 i::i. i 156.8 179.2 201.0 223 22.3 44.6 66.9 89.2 111.5 133.8 150.1 178. 4 200.7 222 22.2 44.4 66.6 ss. s 111.0 133.2 155.4 177.1. 199.8 221 22.1 44.2 66.3 88.4 110.5 132. 0 154.7 17*'. s 198.9 220 22.0 44.0 66.0 ss.o 110.0 132.0 154.0 176.0 198.0 219 21.9 43.8 65.7 87.6 109.5 131.4 153.3 175.2 1(17. 1 218 21.8 43.6 65.4 87.2 109.0 130.8 152.6 174.4 1 '.<•;. 2 217 21.7 43.4 65.1 86.8 108.5 130.2 151.9 173.6 195.3 216 21.6 43. 2 04. s 86.4 108.0 129. 6 151.2 172.8 P.M. 4 215 21.5 43. 0 64.5 86.0 107.5 129.0 150.5 172.0 193.5 214 21.4 42.8 64.2 85.6 107.0 128.4 149.8 171.2 192.6 213 21.3 42.6 63 9 85.2 106.5 127.8 149.1 170.4 191.7 212 21.2 42.4 63! 6 84.8 10(1.0 127.2 148.4 L69.6 190.8 211 21.1 42.2 63.3 84.4 105. 5 L26.6 147.7 168.8 189.9 210 21.0 42.0 63.0 84.0 105.0 126.0 147.0 168.0 189.0 209 20.9 41.8 62.7 83.6 104.5 125.4 146.3 167.2 188.1 208 20.8 62.4 M. 2 104.0 124.8 145.0 106.4 187.2 207 20.7 41.4 02. 1 S2. S 103.5 124.2 144.9 165.6 186. 3 206 20.6 41.2 81.8 82.4 103.0 123. 6 144.2 164.8 185.4 205 20.5 41.0 81.6 82.0 102. 5 123.0 L43.fi 164. 0 L84.fi 204 20 4 61.2 81.6 102.0 122.4 1 12. s 163.2 183.6 203 20! 3 «.-€ 60.9 81.2 101.5 121.8 1 12. 1 162.4 1S2.7 202 20.2 40.4 60.6 80.8 101.0 121.2 141.4 161.6 181.8 178 TABLE 10. -LOGARITHMS OF NTMIIKKS. No. 215 L. 332.] (No. 239 L. 380. I *: «T . L/II1. 215 332438 2640 2842 3044 3246 3447 »• 1-.) 3850 4051 4253 202 0 4454 4856 5057 .VJ:,7 5458 6658 5859 6058 6260 201 7 c 1 -j; MKiO 6880 SX~ "i 7060 (in- 1 72CO Q*>V> qj^.i i, ,• -|i 7858 Q84Q 8058 8257 200 o-iOO OOl »•> yuo-* Vifiuv wu .<* <.,i i iWrx*f 0047 0246 199 0 340444 OG42 0841 1039 1237 1435 1632 1830 2028 2225 198 220 2423 2620 2817 3014 3212 3409 3606 3802 3999 4196 197 1 4392 4589 4785 4981 6178 5374 5570 5766 59(52 196 2 6353 8306 6548 Rfiflfl 6744 Si"'( ' 6939 SSVI 7135 i ..i-j oooy yuoo •UflO W9lm • •'* ' yoou 0054 194 4 350248 0442 0636 0829 1023 1216 1410 1603 1796 1989 193 5 2183 2375 2568 2761 2954 3147 3339 3532 3724 3916 193 6 4108 4301 4493 4685 4876 5068 5260 5452 5043 5834 192 7 6026 6217 6408 6599 6790 6981 7172 7363 7554 7744 191 8 7935 8125 8316 8506 8696 8886 9070 9266 9456 9646 190 g 9835 0025 0215 0404 nr.qo 07X3 0972 1161 1350 1 "vlQ IRQ 230 861738 1917 2105 2294 uoyo 2482 Utf oo 2671 2859 3048 3236 liK>«? 3424 1O«J 188 1 3612 3800 3988 4176 4363 4551 4739 4926 5113 5301 188 2 5488 5675 5862 6049 on 6428 6610 6796 6983 7169 187 3 7356 7542 7729 7915 8101 8X87 8659 8845 9030 186 4 '.>_' in 9401 9587 9772 0868 0143 0328 0513 OfiQK QQOO IOC 5 371068 1253 1437 1622 1806 1991 2175 2300 uuyo 2.544 1 Bou 2728 XoO < 184 6 2912 3096 3280 3404 3647 3831 4015 4198 4382 4565 184 7 4748 4932 5115 5298 5481 5664 5846 6029 6212 6394 183 8 6577 6759 6942 7124 7306 7488 7670 7852 8034 8216 182 g 8308 8580 8761 8943 9124 9306 9487 9668 ilSjy 38 0030 181 PROPORTIONAL PAKTS. Diff. 1 2 3 4 5 6 7 8 9 202 20.2 40.4 60.6 80.8 101.0 121.2 141.4 161.6 181.8 . M 20.1 40.2 60.3 80.4 100.5 120. 6 140.7 160.8 180.8 200 20.0 40.0 60.0 80.0 100.0 120.0 140.0 ifi.n 180.0 I'.M 19.9 39.8 59.7 79.6 99.5 119.4 139.3 159.2 179.1 198 19.8 39.6 59.4 79.2 99.0 US. 8 138.6 178.2 197 19.7 39.4 59.1 7s. s 98.5 118.2 137.9 157.6 177.3 196 19.6 :; ... •_• 58.8 78.4 '.»VO 117.0 137.2 156.8 176.4 195 19.5 39.0 58.5 78.0 97.5 117.0 136.5 1.V..U 175.5 IM 19.4 38.8 66, •-• 77.6 97.0 116.4 135.8 155.2 174.6 193 19.3 38.6 57.9 77.2 96.5 115.8 135.1 154.4 192 19.2 38.4 57.6 76.8 88.0 115.2 134.4 178.8 191 19.1 38.2 57.3 76.4 95.5 114.6 188.7 152.8 171.9 190 19.0 38.0 57.0 76.0 95.0 11-4.0 133.0 152.0 171.0 188 18.9 37.8 56.7 75.6 94.5 113.4 132.3 170.1 188 18.8 37.6 >, 1 75.2 94.0 181.6 l.Vi. I 169.2 187 18.7 37.4 56.1 74.8 93.5 112. 2 130.9 149.6 168.3 186 18.6 37.2 71. ! 93.0 lll.t. 130.2 148.8 167.4 185 18.5 37.0 55.5 74.0 92.5 IJ1.0 148.0 186.5 134 18.4 36.8 65.2 73.6 92.0 110.4 128.8 i c,.-,.t; 183 18.3 36.6 54.9 91.5 109.8 128.1 164.7 182 18.2 84.6 72.8 91.0 109.2 163.8 isi 18.1 36.2 54.3 72.4 90.5 108.6 144.8 18.0 54.0 72.0 90.0 108.0 144.0 17.9 53.7 Bl.fi !»:. i m. -' lf.1.1 179 TABLE 10.— LOGARITHMS OF NUMBERS. No. 240 L. 380.] [No. 269 L. 431. N. 0 » 2 8 9 Diff. 240 1 2 3 4 5 6 7 8 9 250 1 2 3 4 5 6 7 8 9 260 1 2 3 4 5 6 7 8 9 380211 2017 3815 5000 7390 9166 0392 2197 3995 5785 7568 9343 0573 2377 4174 5964 7740 9520 0754 2557 4353 8142 7924 9098 0934 2737 4533 6321 8101 9875 1115 2917 4712 6499 8279 1296 3097 4891 6677 S450 1476 3277 5070 6856 8634 1656 ;;i.Mi 5249 7034 8811 1837 3036 5428 7212 8989 1S1 180 179 178 178 177 176 170 175 174 173 173 172 171 171 170 109 109 168 107 107 166 165 105 104 164 163 162 162 161 0051 1817 3575 7071 ssos 0228 1993 3751 5501 7245 8981 0405 2169 3920 5070 7419 9154 0582 2345 4101 5850 7592 9328 0751) 2521 4277 0025 7766 9501 3!M)'.»3-> 2697 4452 6199 7940 ill .74 1112 2873 4027 6374 8114 9847 1288 3048 4802 6548 8287 1404 3224 4977 6722 8461 164] 3400 5152 6896 8634 0020 1745 3404 5176 6881 8579 0192 1917 3035 5346 7051 8749 0365 2089 3807 5517 7221 8918 0538 2261 3978 5688 7:591 9087 0711 2433 4149 5858 7861 9257 OSS3 2605 4320 002!) 7731 9426 1056 2777 4492 6199 7901 9595 122S 2949 41103 6370 8070 9764 401401 3121 4834 6540 8240 9933 1573 3292 5005 0710 8410 0102 1788 3467 5140 6807 8467 0271 1956 3635 5307 6973 8633 0440 2124 3803 5474 7139 8798 0609 2BN 3970 5041 7300 8904 0777 2461 4137 5808 7472 9129 0946 2629 4305 5974 7638 9295 1114 2796 4472 6141 7804 9460 1283 2%4 4639 6308 7970 9625 1461 3132 4800 0474 8185 9791 411020 3300 4973 0641 8301 9956 0121 1768 3410 5045 6674 8297 9914 0286 1933 3574 5208 6836 8459 0451 2097 3737 5371 0999 8021 0616 2261 3901 5534 7161 8783 0781 2426 4005 5C.97 7324 8944 0945 2590 4228 5860 7486 9106 1110 2754 4392 6023 70'18 9268 1275 2918 4555 filSti 7811 9429 1439 3082 4718 6349 7973 9591 421604 3246 4882 6511 8135 9762 43 0075 0236 0398 0559 0720 0881 1042 1203 PROPORTIONAL PARTS. Difl. 1 2 3 4 5 6 7 8 9 178 177 176 175 174 173 172 171 170 169 168 167 166 165 164 163 162 161 17.8 17.7 17.6 17.5 17.4 17.3 17.2 17.1 17.0 16.9 16.8 If,. 7 inn, 16.5 16.4 10. 3 16.2 16.1 35. 6 53. 4 35. 4 53. 1 35.2 52.8 35. 0 52. 5 34. 8 52. 2 34.6 51.9 34.4 61,6 34.2 51.3 34.0 51.0 33. 8 50. 7 33. 6 60. 4 33. 4 50. 1 33. 2 49. 8 33.0 49.5 :<_'. s 32. 6 48. 9 32.4 !>.:, 32.2 48.3 71.2 70.8 70.4 70.0 (HI. 0 69.2 f,s. s IW. 4 68.0 67.0 67.2 66.8 Wi. 4 66.0 I..Vr, 65.2 64.8 HI. 1 S'l.O KMi.s 88. 5 106. 2 88. 0 105. 6 87. 5 105. 0 87.0 104.4 86. 5 103. 8 86. 0 103. 2 85. 5 102. 6 85. 0 102. 0 84. 5 101. 4 84.0 100.8 83.5 100.2 83. 0 99. 6 82. 5 99. 0 M.'.O 98.4 81.5 97.8 81.0 97.2 80. 5 96. 6 124.6 123.9 123.2 122.5 121.8 121.1 120.4 119.7 119.0 118.3 117.6 116.9 116. 2 115.5 114.8 114.1 n:;.4 irj.7 142.4 141.0 140.8 140.0 139.2 138.4 137. 0 136.8 136.0 135.2 134.4 143.6 132.8 132.0 131.2 130.4 129.6 128.8 160.2 159.3 158.4 157.5 150.0 155.7 154.8 153.9 153.0 152.1 151.2 150.3 149.4 1 4K. 5 1-17.0 146.7 1 4.~>. S UI.'J 180 TABLB 10. -LOGARITHMS OF M MUFRS. No. 270 L. 431.J (No. 299 L. 476. N. 7 8 Q Diff. 270 431364 1525 1685 IMC, 2007 2167 2328 2488 2649 2809 161 2969 3130 3290 3450 3010 3770 8930 4(li«) 4249 4409 160 2 45G9 4729 4888 5048 5207 5367 5526 5685 5844 6004 159 3 6163 6322 6481 6840 6799 6967 7116 7275 7433 7592 159 4 7751 7909 8067 8236 8384 8542 8701 8859 9017 9175 158 QOOQ Q4fl1 , • | yooo a^y i ,ni 1s! mud .'.",-! 0122 0279 0437 0594 0752 158 8 4lo:to'.» 1066 1224 1381 1538 1695 1852 2009 2160 2323 157 7 2480 2637 2793 2950 3106 8263 3419 3576 3732 3889 157 8 ) 9478 9633 9787 9941 0095 154 2 4.«r_M!i 0403 0557 0711 0865 1018 1172 1326 1479 1633 154 3 1786 1940 2093 2247 2400 •_>.-,:>:< 2706 2859 3012 31(15 153 4 3318 3471 3624 3777 3930 10X2 4235 4387 4540 4692 153 IMI 4997 5150 5302 5454 6606 5758 5910 6062 6214 152 6 6366 6518 6670 6973 7125 7276 7428 7579 7731 152 7 7882 8083 8184 8336 8487 8638 8789 x'.MO 9091 9242 151 g 0909 9543 '.ii.'i | 9845 9995 0146 0296 0447 0597 (VTJQ IK-I 9 H,OX'.IX 1048 1198 1348 1499 1649 1799 1948 2iws IM-SO 2248 1O1 150 290 2398 2548 2697 2847 2997 3146 3296 344.') 3594 3744 150 1 •M 4042 4191 4340 4490 4639 17xs 4936 5085 5234 149 2 5383 5532 5680 6829 5977 6126 6274 6423 6571 6719 149 3 6660 -i\]t\ 7164 7312 7460 7608 7756 7'.H)l suv_> 8200 148 4 g 8347 M99 8495 0' M ;• ) 8643 8790 8938 9085 9233 93SO 9527 9675 148 VO^A 0116 0263 0410 0557 0704 0851 0998 1145 147 6 J7r.)(.t_> 1438 1585 1732 1878 2023 2171 2318 2464 2610 140 7 2756 2903 3049 3195 3341 34S7 3633 3779 4071 140 8 4216 4362 4MB 4653 4799 I'.Hl 6090 5235 5526 146 9 5671 5816 6969 6107 6252 6397 <«42 6687 6832 6976 145 PROPORTIONAL PARTS. Diff. 1 2 3 4 5 6 7 8 9 161 16.1 32.2 48.3 64.4 80.5 96.6 112.7 128.8 144.9 UD 16.0 32.0 48.0 64.0 80.0 112.0 128.0 I 11.0 159 15.9 31.8 17. 7 7'i. ;, '.I.',. 4 111.3 127.2 1 1.1. 1 158 15.8 31.6 47.4 79.0 94.8 110.6 126. i 1 »•-'. •_' 157 I.*.. 7 n.4 47.1 62.8 78.5 94.2 109.9 125.6 ui. a 156 15.6 31.2 62.4 78.0 109.2 124.8 140.4 155 15.5 31.0 62.0 77. :, '.13. 0 108.5 124.0 139.5 154 15.4 30.8 46.2 6L6 77.0 92.4 107.x 123.2 138.6 i:,:< 15.3 30.6 45.9 61.2 •11. S 107.1 122.4 137.7 15.2 30.4 K.6 50.8 76.0 91.2 HIT.. 4 12L6 i:ir.. s 151 15.1 30.2 45.3 00. 1 75.5 '.MI..', 120.8 135.9 no 15.0 30.0 45.0 60.0 75.0 '.«>.«> 120.0 135.0 149 14,9 29.8 11.7 59.6 v». 4 KM. a U9.2 llx I4.fi •_".». o 44.4 69.2 74.0 XV X 103.0 llx. | M7 11.7 _>». I 1). 1 fi8.8 73.5 88.2 102.9 ll7.r, no 14.6 43.8 68.4 87.6 116.8 131.4 it:, M.I 43.5 72.5 87.0 101.5 116.0 130.5 in 14.4 100.8 IH 11 :< 42.9 67.2 85.8 100. 1 111. 4 B&7 HI' 148 28.4 42.6 66.8 71.0 '••». » 127.8 141 11. 1 28.2 84.6 112.8 lai. 9 140 11.0 28.0 7o.(» 84.0 98.0 112.0 126.0 181 TABLE 10.— LOGARITHMS OF NUMKKKS. No. SCO L. 477.] [No. 339 L. 531. N. 0 1 8 9 DifT. 300 1 2 3 4 5 6 7 8 9 310 1 2 3 4 5 6 7 8 9 320 2 3 4 5 6 7 8 9 330 2 3 4 5 6 7 8 477121 85(16 7266 8711 7411 8855 7555 8999 77CO 9143 7844 9287 7989 9431 8133 9575 8278 9719 8422 9863 145 144 144 143 143 142 142 141 141 140 140 139 139 139 138 138 137 137 136 136 186 136 135 134 134 133 133 is.; 132 132 131 131 181 ISO 130 129 120 129 128 128 480C97 1413 •JVJ 4300 5721 7138 8551 9958 0151 1586 3016 4442 5863 7280 8G92 02;) 1 1729 3159 4585 6C05 7421 8833 0438 1872 3302 4727 6147 75fi3 8974 05S2 2016 3445 4869 6289 7704 9114 0725 2159 3587 £011 6430 7845 9255 0869 2302 3730 5153 (1572 7986 9396 1012 2445 3872 (.714 8127 9537 1156 2588 4015 5437 6855 8269 9677 1299 2731 4157 5579 6997 8410 9818 0099 1502 29CO 4294 5683 7068 8448 9824 0239 1642 3040 4433 5822 7206 8586 9962 0380 1782 3179 4572 5S30 7344 8724 0520 1922 3319 4711 6C99 7483 8862 0661 21X12 3458 4850 6238 7621 8999 0801 2201 3597 4989 6376 7759 9137 C941 2341 3737 5128 6515 7897 9275 1081 2481 3876 6267 t r-.-,;i 8036 9412 1222 2621 4015 5408 6791 8173 9550 491362 27(10 4155 5544 6930 8311 9687 0099 1470 2837 4109 5557 6911 8260 9606 0236 1607 2373 4335 5693 7046 8395 9740 0374 1744 3109 4471 5828 7181 8530 9874 0511 1880 3246 4607 5964 7316 8664 0648 2017 3382 4743 6099 7451 8799 0785 2154 3518 4878 6234 7586 8934 i; i-> -> 501059 2427 3791 5150 6505 7856 9203 11G3 2564 3927 5286 r.r> in 7991 9337 1333 2700 4063 5421 6776 8126 9471 2291 3655 5014 6370 7721 9068 0009 1349 2684 4016 9303 0143 1482 2818 4149 5476 6800 8119 9434 0277 L618 2951 4282 6932 8261 9566 0411 1750 3084 4415 :,: 1 1 7064 510545 1883 3218 4548 71' • 8514 9828 0679 2017 3351 4«81 7328 8646 9959 0813 2151 3484 4813 7 8777 0047 2284 3617 6271 8909 1081 2418 .H7: > r.r>79 6403 7724 9040 1215 2551 6211 9171 0090 1400 2705 40C3 5304 BIOS 7SSS 9174 0221 1530 2835 4136 6484 6727 8016 9302 0353 1661 2966 4266 5563 6856 8145 9430 0484 1792 3096 4396 5693 6985 9559 cms 1922 3226 4526 5822 7114 8402 9687 0745 2053 3356 4656 5951 7243 8531 9815 0876 2183 348(5 4785 6081 7372 SI it 10 9943 1007 2314 8616 4915 6210 7501 S7ss 521138 2444 3746 £045 6339 7630 8917 1269 2575 3876 5174 f, Ml 7759 9045 0072 135] 530200 0328 0456 0584 0712 0840 0368 1096 1223 PROPORTIONAL PARTS. :Difl. 1 2 3 4 5 6 7 8 9 139 138 137 136 1 3.-, 1M 133 L89 la ; 130 . 128 13.9 13.8 13.7 13.6 13.5 13.4 13.3 13.2 18.1 13.0 12.9 12.8 12.7 27.8 27.6 27.4 27.2 27.0 26.6 26.4 26.2 2-i.o 25.4 41.7 41.4 41.1 40.8 40.5 40.2 39.9 .T.I. 0 38.1 65.6 54.4 rt.o 53.6 :,2. o 51.6 61.8 50.8 69.5 83.4 69. 0 82. S 82.2 C,s. 0 81.6 67.5 81.0 67. 0 80. 4 n,.r> 79.8 fni.O 79.2 78.6 65. 0 78. 0 77.4 64. 0 76. 8 63. 5 76. 2 97.3 96.6 95.9 <).->. 2 94.6 93.8 93.1 "J. 1 91.0 90.3 .VI. »i 88.9 111.2 110.4 1C3.6 108.8 108.0 107.2 106.4 105. 6 104.8 164.0 103. 2 102.4 101.6 125.1 rji.2 123.3 1 22. 4 121.5 120.6 11!). 7 118.8 117.9 117.0 L16.1 115.2 114.3 182 TVHI.K 10.— LOGARITHMS OF M'MHKIts. No. 340 L. 531.] (No. 379 L. 579. N. 0 1 8 9 DIff. 340 2 3 4 5 6 7 8 9 350 1 2 3 4 5 6 7 8 9 360 1 2 3 4 5 6 7 8 9 370 1 2 3 4 5 6 7 8 9 .v;i47'.» 2754 4026 5294 8558 7819 9076 1607 2S.S2 4153 5421 Q686 1I2D2 1734 .MW 4280 5547 6811 S<)71 9327 1862 6937 8197 9452 1990 4534 5NK) 7(»;:< 8322 9578 2117 3391 4661 7189 8448 9703 2245 3518 4787 6053 7315 8574 9829 2372 4914 6180 7441 8699 9954 2500 3772 5041 6306 7567 8825 2627 3899 5167 6432 7693 8951 128 127 127 126 126 126 125 125 125 124 124 124 123 123 123 122 122 121 121 121 120 120 120 119 119 119 119 us us 118 117 117 117 116 lit. 116 115 115 115 114 0079 1330 2576 3820 5060 6296 7529 8758 *)Ms 4 0204 1454 2701 3944 5183 6419 7652 8881 :>4i>32!) 1579 2836 4068 5307 6543 7775 9003 0455 1704 2950 4192 5431 6666 7898 9126 0580 1829 3074 4316 5555 6789 8021 9249 0705 1953 3199 4140 6913 8144 9371 0830 2h7S 3323 4564 7036 8267 9494 0955 2203 3447 4688 .V.I2.-, 7159 8389 9616 1080 2327 3571 4812 6049 7282 8512 9739 1205 2452 4936 6172 8635 9861 0106 1328 2547 4973 6182 7387 8589 9787 550228 1450 2.1T.S 3883 5094 6303 7507 8709 MOT 0351 1572 2790 4004 5215 6423 7627 8829 0473 1694 2911 4126 5336 6544 7748 8948 0595 1816 3033 4217 5457 6664 7868 9068 0717 1938 3155 4368 5578 6785 7o 8084 9257 561101 2293 MM f>X4S 7026 8202 9374 0076 1243 2!' 17 3568 4726 .is.su 7032 8181 9326 0193 1359 4841 6996 7147 8295 '.•111 0309 1476 2639 3800 i.lll M10 9555 0426 1592 2755 3915 7377 8525 l«K,'.l 570543 1709 2872 4(>:u 6186 6341 7492 8639 0660 1825 2988 1117 tan 6457 7607 8754 0776 3104 5419 6572 8M8 0898 2058 4379 5534 <;tis7 7siil 8983 1010 2174 3336 4494 5650 6809 7''.-,! 9097 1126 4i.ll) 5765 PROPORTIONAL I'AKT . Diff. 9 128 127 U.i 126 124 U2 121 120 119 12.8 12.7 U. f, 12. J 12. \ 18.1 12.2 U. 1 U.i. 11.9 25.6 38.4 1 38.1 25.2 37.8 50.4 i 37.5 50.0 37.2 49.6 2l.i, 3T..9 49.2 21. » 36. »• 21.2 36.3 21.0 36.0 23.8 35.7 47.6 64.0 63.5 63.0 .,2. :> 62.0 61.5 61.1 60.1 80.0 59.5 76.8 75.6 7.1.0 71 4 71. 1 89.6 102.4 xs.'» n»i... Vv2 1IHI.S 87.5 100.0 86.8 99.2 86.1 98.4 85.4 84.7 96.8 84.0 83.3 115.2 U4.S 112.5 in. c. lUi.7 LOO. a 108.9 107.1 183 TABLE 10.-LOCJARITHMS OF NUMKKIIS. No. 3SO. L. 579.) [No. 414 L. 617. N. 8 9 Diff. 380 2 3 4 5 6 7 8 D 390 1 2 3 4 5 6 7 8 9 400 2 3 4 5 6 7 8 9 410 1 2 3 4 579784 9898 0012 1153 2291 3426 4557 6686 6812 7935 9056 0126 1267 2404 3539 4070 5799 6925 8047 9167 0241 1381 2518 36.12 4783 5912 7037 8100 9279 0355 1495 2631 3765 4896 6024 7149 8272 9391 0409 1608 2745 3879 5009 0137 7262 8384 9503 0583 1722 2858 3992 5122 6250 7374 8496 9615 0697 1836 2972 4105 5235 6362 7486 8(508 1)721 i 0811 1950 3085 4218 5348 6475 7599 8720 9838 114 113 112 111 110 109 108 107 106 105 580925 2063 3199 4331 5461 6587 7711 8832 9950 1039 2177 3312 4444 5574 6700 7823 8944 0061 1176 2288 3397 4503 5606 0707 7805 8900 9992 0173 1287 2399 3508 4614 .1717 6817 7914 9009 0284 1399 2510 3618 4724 5827 6927 8024 9119 0396 1510 2621 3729 4834 5937 7037 8134 9228 0507 1621 2732 3840 4945 60 !7 7146 8243 9337 0619 1732 2843 3950 5055 6157 7256 8353 9446 0730 1843 401 il 51 05 6267 730G 8402 9556 0842 1955 3064 4171 5276 6377 7-1 7( i 8572 9665 0953 20C6 3175 4282 5380 6487 7586 8681 9774 591065 2177 3286 4393 5496 6597 7695 8791 9883 0101 1191 2277 3361 4442 5521 6596 7669 8740 9808 0210 1299 2386 3469 4550 5628 6704 7777 8847 9914 0319 1408 2494 3577 4658 5736 6811 7884 8954 0428 1517 2603 3686 4766 5844 69lfl 7991 9061 0537 1625 2711 3794 4874 5951 7026 8098 9167 0646 1734 2819 3902 4982 6059 7133 8205 9274 0755 1843 2928 4010 5089 6166 7241 8312 93S1 0864 1951 3036 4118 5197 6274 7348 8419 9488 600973 2060 3144 4226 5305 6381 7455 8526 1082 2169 3253 4334 5413 6489 7502 8633 9701 0021 1086 2148 3207 4204 5319 6370 7420 0128 1192 2254 3313 4370 5424 6476 7525 0234 1298 2360 3419 4475 5529 6581 7629 0341 1405 2466 3525 4. INI 7734 0447 1511 2572 3630 4686 .57-10 6790 7839 0554 1617 267S 8736 4792 5845 6895 7943 610660 1723 2784 3842 4897 5950 7000 0767 1829 2890 3947 5003 6055 7105 0873 1936 2996 4053 5108 6160 7210 0979 2042 3102 4159 5213 6265 7315 PROPORTIONAL PARTS. Dlfl. 1 2 3 4 5 (i 7 8 9 IIS 117 IH. 115 114 111 112 111 110 109 108 107 106 10.1 104 11.8 11.7 ll.i; 11.5 11.4 II. 3 11.2 11.1 11.0 10.9 10.8 10.7 10.6 I0.fi 10.4 23.6 23.4 23. '1 23.0 •_'_'. s 22": i 22.2 22.0 21. R 21.6 21.4 21.2 21.0 21.0 20.8 35.4 35.1 34.8 34.5 34.2 33. 3 33. 0 32. 7 31.8 31.5 31. L' 47.2 46.8 46.4 46.0 11. (i 45.2 44.8 44.4 44,0 43.6 43.2 42.8 42.4 42.0 41.6 59.0 70.8 58. 5 70. 2 58. 0 69. 6 57. 5 69. 0 57. 0 68. 4 56.5 67.8 56.0 67.2 66.0 .11 1 65.4 .11.0 64.8 64.2 53. 0 63. 6 62. 0 62. 4 82.6 81.9 81.2 80.5 79.8 79.1 77.7 77.0 7«i. 3 75.6 74.9 74.2 73. .1 72.8 94.4 93.6 92.8 92.0 90'.4 89.6 88.8 ss.o 87,3 XI i. 4 S.I. li 84.8 94,4) M.O 83.2 KM1.. 2 105.3 IIU.4 103.5 L02.6 101.7 100.8 '.I'M) 98, I 96.3 «i.l. -I 94.8 M.I 93.6 184 Tvm.K in.-i.o(; \nmiMs OF \i MUKKS. No. 415 L. 618.] [No. 459 L. 662. N. • Dlff. 415 6 7 8 9 420 1 2 3 4 5 6 7 8 9 430 1 2 3 4 5 6 7 8 9 440 1 2 3 4 5 6 7 8 9 450 2 3 4 5 1 7 8 '.» M0MJ 9093 8153 919S 8257 9302 B360 9406 HIM 9511 8571 9015 8676 9719 8780 •824 BB84 '.»'.»JS 8989 0032 1072 2110 3140 4179 5210 72i 3 8287 9908 105 104 103 102 101 100 99 98 97 M 95 020130 1176 2214 3249 4282 5312 6340 7366 HBO 9410 0240 1280 2318 3353 5415 6443 7408 8491 9512 0344 1421 S456 7571 8593 0611 0448 2525 3559 4591 6648 B600 9715 0552 1592 3»*3 4095 5724 6751 7775 8797 9817 0656 1(595 3766 6853 7878 8900 9919 0760 1799 2835 3809 4901 5929 6956 7980 9002 6864 1903 2939 3973 5004 6032 7058 8082 9104 (Wi S 2007 3042 4070 5107 6135 7161 8185 9206 0021 1038 3064 4074 5081 6087 7080 8090 9088 0123 1139 2153 3165 4175 5182 6187 7189 8190 9188 0224 1241 2255 4276 7290 8290 0326 13 12 3307 4376 5383 6388 7390 8380 9387 o;«M2s 2457 34G8 4477 5481 6488 7490 Mffl 9480 0530 I.'. !.-• 2559 3509 4578 5584 6588 7590 8589 •586 0631 1647 9660 3070 6688 7600 B8BO MM 0733 1748 2761 3771 4779 .-,7V, 6789 7790 srs-.t 9785 0838 3s72 4 ssi) 5886 6880 7890 9688 9885 0936 1951 2963 3973 4981 5986 6980 7990 B988 9984 0084 1077 3058 4044 5029 6011 6992 79C9 8945 9919 0183 1177 2168 3156 4143 5127 6110 7089 9043 0283 1276 3255 4242 6208 7187 8165 9140 0382 1375 2306 3354 4340 5324 6306 7285 8262 9237 640481 1474 2465 3453 4439 •> rJJ 6404 7383 8360 6085 0581 3551 4537 5523 6502 7481 8458 9432 0680 1672 3650 5(110 6000 8555 9530 0779 1771 27« 3749 17:>1 :,,-17 0879 1871 3847 4832 5812 8750 0978 1970 2959 3946 4931 5913 6894 7872 8848 0821 0016 0987 1956 2923 8888 1850 5810 7725 8679 9631 0113 1- M 2053 3019 3984 4940 5906 684 » 7820 .X77I 9726 0210 1181 2150 3116 4080 5042 6002 t;-.». i) 7916 8870 •821 • olUOs 127s 3213 1177 6008 Mill BMB 9916 0405 1376 2343 3309 4273 6194 7152 8107 mo osoa 1472 2440 5331 7247 HOB 9155 0599 1569 2536 3502 5427 6886 KM 862 59, >(i 6050 (H43 6237 6, HI 042 l 4 6518 6612 6705 ( >7!K> 68< 12 6986 7079 7173 7 266 730 ) 5 7453 7546 7040 7733 7826 7920 8013 8106 8 199 8293 6 S3SO 8479 8572 i «505 87, >9 SX.V2 8945 9038 9 131 922 4 7 9317 9410 9503 < X596 %, 9 U7S2 9875 9%7 93 0000 0153 8 670246 0339 0431 0524 0617 0710 0802 0895 0988 i 1080 9 1173 1265 1358 1451 1543 1636 1728 1821 1913 2005 470 2098 2190 2283 2375 2467 2560 2652 2744 2836 2929 1 3021 3113 3205 3297 3390 3482 3574 K66 3758 3850 2 8942 4034 4126 t 12 IS 43 0 4402 4494 4586 4 677 476 3 92 3 4861 4953 5045 5137 5228 5320 5412 5503 5595 i 5687 4 5778 5870 5962 ( X)o3 61 I.') 6236 6328 6419 6 511 660 2 5 6694 6785 6876 1908 7Gv >9 7151 7242 7333 7 424 751 i 6 7607 7698 7789 7881 7972 8063 8154 8245 8336 S427 7 8518 8609 8700 i <791 88 <2 8973 9064 9155 9 2*6 933 7 91 g 9428 9519 9610 )700 97 11 9ss2 9973 fWV*Q Q 1 r; 1 ()-> 1 c 9 680336 0426 0517 0607 06 18 0789 0879 lXH>o 0970 1060 1151 480 1241 1332 1422 1513 1603 1693 1784 1874 1964 2055 1 2145 2235 2326 2416 2506 25% 2686 2777 2867 2957 2 3047 3137 3227 5317 34 17 3497 3587 3677 3 707 385 7 90 3 3947 4037 4127 1217 43( )7 43% 4480 4576 4 ;oo 475 i 4 4845 4935 5025 5114 5204 5294 5383 5473 5o03 5652 5 5742 6831 5921 5010 61 M) 6189 6279 6308 6 •58 654 7 6 6636 6726 6815 0904 6994 7083 7172 7261 7351 7440 7 7529 7618 7707 7796 78! SO 7(.)7:> 8064 8153 8 212 833 1 89 8 g 8420 9309 8509 9398 8598 9486 8687 9575 8776 9664 8865 9753 8953 9841 9042 00*1/1 9131 9220 yyou 0019 0107 490 690196 0285 0373 0462 0550 0639 0728 0816 0905 0993 1 1081 1170 1258 1317 14 55 1524 1612 1700 1 7S9 187 7 2 1965 2053 2142 2230 2318 2406 2494 25S3 2671 2759 3 2847 2935 3023 3111 31 •9 3287 3375 3463 3 551 3631 ) 88 4 3727 3815 3903 3991 4078 4166 4254 4342 4430 4517 5 4605 4693 4781 1808 49. •)(i 5044 5131 5219 5 {«)7 539 1 6 5482 5569 5657 5744 5832 5919 6007 6094 6182 6269 7 6356 6444 6531 1618 67 Mi 6793 (iSSO 6968 7 165 714 1 8 7229 7317 7404 7491 75 -s 7WV5 7752 7S39 7 120 801 4 1 8100 8188 8275 8362 8449 8535 8622 8709 87% 888 3 87 PROPORTIONAL PARTS. T)ifT I'lU. 98 9.8 19.6 29.4 39.2 49.0 58.8 68.6 78.4 88.2 N 9.7 19. 4 29. 1 38.8 iv :, /is. 2 67.9 77.6 87.3 96 9.6 19. 2 28. 8 as. 4 48.0 67.0 67.2 76.8 86.4 95 9.5 19.0 28.5 38.0 47.5 57.0 66.5 76.0 ST.. 5 M '.I. 4 18.8 28.2 37.6 47.0 56.4 (M. S 75.2 S4. 0 n 9.3 18.6 27.9 37.2 46.5 55.8 65.1 74.4 83.7 92 9.2 18.4 27.6 36.8 46.0 :,:,. 2 64.4 73.6 82.8 91 9.1 IS. 2 27.3 .%. 4 54.6 63.7 72. 8 81.9 90 9,0 is.o 27.0 36.0 45.0 54.0 r,3. o 72.0 81.0 S'.l 8.9 17.8 'Jr.. 7 35.6 44.5 53.4 71.2 80.1 S^ 8.8 17.6 26.4 35.2 44.0 ;,2. s 61.6 70.4 79.2 87 8.7 17. 4 26. 1 34.8 43.5 52.2 60.9 69.6 78.3 86 8.6 17. 2 25. 8 34.4 43.0 51.6 60.2 68.8 77.4 186 rvm.K 10. -UH; \KITIIMS OF NTMBERN. No. 500 L. 698.] [No. 544 L. 736. N. 8 9 Diff. 500 1 2 3 4 5 6 7 8 9 510 2 3 4 I 6 7 8 I 530 1 2 3 4 5 6 7 8 9 530 2 3 4 5 6 7 8 9 540 1 2 3 4 60807 ) 9838 9057 9924 9144 9231 9317 9404 9491 9578 9664 9751 86 85 84 83 82 81 80 C311 0877 1741 2603 6035 6888 7740 8591 9440 0098 0063 1827 2689 3549 4408 6120 7826 9624 0184 1050 1913 2775 ii'.r, 4494 5350 8308 7069 7911 8761 B608 0271 1136 1999 2861 3721 4579 5436 6291 7144 7996 8846 0358 1222 2083 2947 3807 4665 5522 6376 7229 8081 8931 9779 0444 1309 2172 3033 3893 4751 5607 6462 7315 8166 9015 9863 0531 1395 2258 3119 3979 4837 6547 7400 8251 9100 9948 0617 1482 2344 32Q5 40T..-I 5778 6632 7485 8336 9185 70J704 1568 2431 32.11 41/H HOG 6864 6718 TWO sr.'i 9270 0790 1654 2517 3377 i2» 5094 6940 6803 7655 8506 9358 0033 0879 2566 3407 4246 5084 5920 6754 7587 8419 9248 710117 0963 IN' 17 8860 3491 on olf,7 Ma 8838 7871 8502 8831 0202 1048 1892 2734 3575 4414 :>_'.-, 1 6087 C'.Ul 7754 8585 • 9414 0287 1131 1976 2818 3659 5335 fi!70 7004 7837 9497 0371 1217 2060 3M2 3743 45SI 5418 6354 7088 8751 9580 0450 1301 2144 2986 3826 4665 5502 6337 7171 8003 8834 9663 0540 1385 •>*M 3070 3910 5586 6421 7254 BOW 8917 9745 0625 1470 2313 3994 4833 5669 6504 7338 8169 9000 9828 0710 1554 2397 1238 4078 4916 5753 6588 71.M 8253 9083 9911 0794 1639 2481 3323 4162 5000 5836 6671 7504 8336 9165 9994 0077 0903 1728 3374 4194 5013 5830 6646 7460 ^-'7:* 9084 9893 720158 0986 1811 2634 5095 5912 6727 7541 9165 0074 0242 1068 1S93 8716 SMS 5176 5993 08QO 8435 9246 0325 1151 1975 2798 3620 4440 5258 6075 6890 7704 8516 9327 0407 1233 2058 2881 3702 4529 5340 6156 6972 7785 8597 9408 0490 1316 3140 4604 5422 6338 70.53 7866 9678 9489 0573 1388 2222 3045 3880 M85 5503 6330 7m 7948 8739 9570 0855 1481 2305 3127 3948 4767 5585 6401 7216 SMI 0738 1563 2387 3209 1080 4849 5667 6483 7297 8110 8922 9732 0821 1646 2469 32'.»1 4112 4931 5748 8191 9003 9813 0055 0893 I860 3474 I8BO 5679 0136 0944 1750 2555 not 4160 4960 5759 0217 1 u l 2. ;:{.-, 3438 5040 5838 0298 1105 1911 2715 3518 4330 5120 5918 0398 iiv, 1991 2798 U08 1400 5300 .V'-K 0459 2876 3679 4480 527B 8078 0540 2152 2956 8758 1580 5359 6157 0621 2233 8087 3839 4640 :, u» 9287 0702 1508 2313 3117 3919 4720 5519 6317 7*0782 l.VO 2394 3197 98N (SI III 5599 PROPORTIONAL PARTS. 'Diff. 1 2 86 85 84 1' ' 8.7 8.6 8.5 8.4 17.4 26.1 34.8 43.5 17.2 25.8 34.4 43.0 17.0 25.5 34.0 42.5 16.8 25.2 33.6 42.0 52.3 51.6 :.i n 50.4 60.9 69.6 60.2 68.8 77 . t 59.5 68.0 58.8 67.2 75.6 187 TABLE 10.— LOGARITHMS OF NUMBERS. No. 545 L. 736.] [No. 584 L. 767. 8 9 DifT . U1II. 545 736397 6476 6556 6635 6715 6795 6874 6954 7034 7113 6 7193 7272 7362 7431 75 11 759C 7(170 7749 7 •529 790 s 7 7987 8067 8146 8225 83 15 8384 8463 8543 8 >22 870 1 8 8781 9572 8860 9651 8939 9731 9018 9810 9097 98 i 043 i 3 750508 0586 0663 0740 0817 0894 0971 1048 1125 1202 4 1279 1356 1433 1510 15 37 UKJ-I 1741 1818 1 -.'.(.I 197 2 5 2048 2125 2202 2279 2356 2433 2509 2586' 2663 2740 77 6 2816 2893 2970 3047 31 23 320C 3277 3353 3 430 350 I 7 3583 3660 3736 3813 38, S9 396C 4042 4119 4 19T> 427 2 8 4348 4425 4501 4578 4654 4730 4807 4883 4960 5036 9 5112 5189 6266 5341 5417 5494 5570 6646 5722 5799 570 5875 5951 6027 6103 6180 6256 6332 6408 6484 6560 1 6636 6712 6788 6864 69 iO 70K 7092 7168 7 244 732 ) 76 2 7396 7472 7548 7624 77 X) 7775 7851 7927 81 XW 807 ) 3 8155 8230 8306 8382 8458 8533 8(109 8685 8761 8836 4 8912 8988 9063 9139 92 14 929C 8366 9441 9. 317 959 2 5 966S 9743 9819 9894 99 "0 0045 0121 0196 o >7-> 034 - 6 760422 0498 0573 0649 0724 0799 0875 0950 1025 1101 7 1 17(1 1251 1326 1402 14 " 1552 1(127 1702 1 "8 185 < 8 1928 2003 2078 2153 2228 2303 2378 2 153 2529 2604 jj 2679 2754 2829 2904 2978 3053 3128 3203 3278 3353 75 580 3428 3503 3578 3653 3727 3802 3877 3952 4027 4101 I 4176 42.V. 4326 4400 44 75 455C MEM 4699 4 774 tsi H 2 4923 4998 5072 6147 5221 5296 5370 r> 1 1.-, 5520 •.:,-.« i 3 5743 5818 5892 59 16 (.(il 6116 1,190 6 2(14 633 S 4 6413 6487 6662 6636 6710 6785 6859 6933 7007 7082 PROPORTIONAL PARTS. DIff. 1 2 3 4 5 6 7 8 9 83 8.3 16.6 24. 9 33. 2 41.5 49.8 58.1 66.4 74.7 82 8.2 16.4 24. 6 32. 8 41.0 49.2 57.4 65.6 73.8 81 8.1 16.2 21.3 32.4 40.5 48.6 56.7 64.8 72.9 80 8.0 16,1 •21.0 32.0 40.0 48.0 56.0 64.0 72.0 79 7.9 15.8 23. 7 31. 6 3'J. ") 47.4 55.3 63.2 71.1 78 7.8 15.6 23. 4 31. 2 39^0 46.8 54.6 (12. 4 70.2 77 7.7 15.4 23. 1 30. 8 38. 5 46.2 53.9 61.11 (.9. 3 7.6 15.2 22. 8 30. 4 45.6 53.2 60.8 68.4 7:. 7.5 16.0 22.5 30.0 37.5 45.0 52.5 60.0 67.5 71 7.4 14.8 22. 2 29. 6 37.0 44.4 51.8 59.2 66.6 188 TAHU: 10. -i.(Ki\uiTinis or M MHKUS. No. 585 L. 767.] [No. 629 L. 799. N. 8 9 Diff. 585 7671.™ 7230 7304 7.i7'.i 7453 7527 7601 7675 7749 7823 6 MJJIi M.';) 8184 8968 8342 8416 8490 s.^;j 74 7 8631 8712 8788 8880 8884 8008 0088 0156 0230 9303 no 77 Q41I (>-••-. (|- |<) 8678 9746 '.ivJO ys1 it 1 1( „ • w .'•> i t srtOl .»•>-•> H >.'.» «7«fUO 0042 '.i 770115 0189 0263 0336 0410 0484 0557 0631 0705 0778 590 06B tax 0999 1073 1146 1220 1293 1367 1440 1514 1 L587 1661 1734 1808 1881 1955 2028 2102 2175 2248 2 2322 2395 2408 2542 2615 2688 27L2 2835 2806 2981 3 8065 3138 3201 3274 3348 3421 34!»4 3567 3114(1 3713 4 3786 3SUI 3933 4006 4079 4152 4225 4298 4371 4444 73 5 4517 4590 4663 4736 4NN 4882 4955 5028 5100 5173 G 5246 5319 5392 5465 1688 5610 5829 5902 7 5974 6047 6120 6109 6966 6338 6411 6483 6556 6G29 8 6701 8774 6846 8910 6992 7064 7137 7209 7282 7354 9 7427 74-w 7572 POM 7717 7789 7862 7934 8006 8078 GOO 8151 8296 8368 S441 8513 8585 86H 8730 8802 1 8874 (I-.MI- 8947 i tj ;( ;• ) 9019 9741 9091 9813 9163 9885 9236 9957 9308 9380 9452 9524 ,*. MI » 0020 0101 ni **'* 004 £ TO 3 780317 0389 0461 0533 (MX).', 0677 uu*-»* 07411 UIU1 0821 Ul t •> 0803 .*_!.) 0965 im 4 1037 1109 1181 1253 1334 1396 1468 1540 1612 1684 5 1755 1827 1899 1971 2042 2114 2186 2258 2329 2401 6 2473 2544 2616 2688 _>7:>Sl 9651 9722 9792 8888 9933 0004 0074 O144 021 "i 7 T'.KV.N.-, 0356 0426 0496 0567 0637 \J(J(rt 0707 UU/T 0778 Ul^^ 0848 1010 0918 8 0068 1088 i r_«.» 1199 1269 1340 1410 1480 1550 1620 9 1691 17« 1831 1901 1971 2111 2181 2252 2322 620 •r/rj •-'.VVJ 2«H>2 2672 2742 2812 2.vs-J 2952 3022 70 1 3092 :il (-,•_> 3301 3371 .;ui 3511 858J 3651 3721 2 3790 4000 4070 4139 4209 •r_'7'.i 4349 4418 3 4488 4697 4767 4836 4906 5045 5115 4 5254 • 6468 5532 ;/, 5672 5741 5811 5 .VvSO 8MB 6088 6158 f>227 6*87 6366 6436 8606 6 1874 65M f»7S2 (Vx.Y_> 6921 8890 71 MiO 7129 7198 7 7337 7406 7475 7644 7614 7683 7752 7821 7800 8 noo B8BB 8167 8888 8305 8374 8513 8583 9 8881 8720 8789 xs.X vr_>7 8888 9065 9134 irjoii 9272 69 PROPORTIONAL PARTS. DlfT U1I1. 75 7.5 15.0 22.5 30.0 37.5 45.0 52.5 60.0 67.5 74 7.4 14.8 22.2 29.6 37.0 44.4 51.8 59.2 66.6 73 7.3 14. (i 21.9 29.2 43. s 51.1 58.4 65.7 72 7.J 11. t '-'Mi 28.8 36.0 4:5. _' 50.4 57.6 64.8 71 7.1 H.2 21.3 28.4 35.5 49.7 56.8 63.9 70 7.0 lln 1M.O 28.0 35.0 42.0 49.0 56.0 63.0 69 6.9 13.8 20.7 27.6 34.5 41.4 48.3 55.2 62.1 IS!) TABLE 10.-LOGARITHMS OF NUMBERS. No. 630 L. 799.] [No. 674 L. 829. N. 0 1 2 3 4 5 6 7 8 9 Dill, 630 799341 9409 9478 9547 9616 %S5 9754 9823 9892 9961 1 NUN L>!) 0098 0167 0236 0305 0373 0442 0511 0580 CG48 2 0717 0786 0854 0923 0992 1061 1129 1198 1266 1335 3 1404 1472 1541 L609 KITS 1747 1815 1VS4 1952 2021 4 2089 2158 2226 2295 2363 2432 2600 2668 2G37 2705 5 2774 2842 2910 2979 SQ47 3116 3184 3263 3321 3389 6 3457 3525 3594 3GG2 3730 37! M 3867 3935 4003 4071 7 4139 4208 4276 4344 4112 4480 4548 4G1G 4685 4753 8 4821 4889 4957 5025 5093 5161 5229 5297 53G5 5433 68 9 5501 5569 5637 5705 5773 5841 5908 5976 6044 6112 640 80G180 6248 6316 6384 6451 6519 6587 6655 6723 6790 1 G858 6926 6994 70G1 7129 7197 7264 7332 7400 74(17 2 7535 7G03 7670 7738 7806 7873 7941 8008 8076 8143 3 8211 8279 8346 8414 MSI 8549 8616 8684 8751 8818 4 SSMi <>T44 QTilfl 7fi 0741 Q807 OQyO (HI'MI OOU UtH-i yuiu yu< o y/ Til you/ Jo t o yyo j 0004 0070 0136 i 820201 0267 0333 0399 0464 0530 0595 0661 0727 0792 2 0858 0924 0989 1055 1120 1186 i 1251 1317 1302 1448 3 1514 1579 1645 1710 1775 1841 1906 1972 2037 2103 4 2168 2233 2299 2364 2430 2495 2560 2C.26 2691 2756 5 2822 2887 2952 3018 3083 3148 3213 3279 3344 3409 6 3474 3539 3605 3670 3735 3800 3865 3930 3996 4061 7 4126 4191 4256 4321 4386 4451 4516 4581 4646 4711 8 4776 4841 4906 -1971 5036 5101 5166 5231 5296 5361 65 9 5426 5491 6666 5621 5686 5751 5815 5880 5945 6010 670 6075 6140 G204 6269 6334 6399 6464 6638 6593 CllMS 1 6723 6787 6852 6917 6981 7046 7111 7175 7240 7305 2 7434 7499 7563 7628 7603 7757 7821 7886 7'.»:,i 3 8015 8080 sill 8209 8273 8338 8402 8467 8531 8595 4 8660 8724 8789 8853 8918 8982 9046 9111 9175 «. )•-'::'.» PROPORTIONAL PARTS. Difl. 1 2345 6 789 m 6.8 13.6 20.4 27.2 34.0 40.8 47. 6 54. 4 61. 2 67 6.7 13.4 20.1 26.8 33.5 40. -J 46.9 53.6 60.3 66 6.6 13. 2 19. 8 26. 4 39.6 52. 8 59. 4 65 6.5 13. 0 19. 5 26. 0 89.0 45. 5 52. 0 5S. r> 64 6.4 12.8 19.2 25.6 32.0 38.4 44.8 51.2 .r)7.(i 190 mill: 10.-LOGAIlITilMS or M MIIKKS. No. 675 L. 829.J [No. 719 L. 857. nil? . JJ1U* 675 BBM04 9368 9432 9497 9661 9625 9690 9754 9818 9882 9947 0011 0075 0139 0268 0332 0460 O.V2.1 7 B305M 0653 0717 0909 0973 1037 1102 1166 8 1294 1358 1 122 L48 4; 1550 1614 1678 17 12 1806 64 9 1870 1998 2062 2189 2253 2317 2381 2445 680 2509 2573 2687 2700 2764 2828 2892 2956 3C 20 8083 1 3147 8211 3 :<:>N r2 3466 8530 3593 30 .17 3721 2 .'is IN 3912 4o:w 4103 4166 4230 4294 4357 3 4421 41M 4 4)11 5 4739 4802 4866 4S 29 4993 4 5056 5120 5183 5247 5310 5373 5437 5500 5564 5(127 5 5754 5817 5 SSI 594 4 6007 6071 6134 61 97 6261 6 6324 6387 6451 6514 6577 6641 6704 6767 6830 6894 7 6957 7020 7083 7 L46 721 0 7273 7336 7399 74 62 7525 8 7588 7662 7715 7 77s 7s 1 7904 7967 8030 8C 93 8156 8 8219 8282 8348 8408 M71 8534 8597 8660 8723 8786 63 690 BB48 8912 g MB 9101 9164 9227 9289 9352 9415 (I l-v II- . ! 1 9004 1 »'J17 972 0 '.171)2 9855 9918 y. xl PI i B yo-ti 0043 2 sioio-i 0169 0232 0294 0 J.17 0420 0482 0545 a Os 0671 3 0733 0796 0859 C .121 096 4 ion; 1109 1172 11 34 1297 4 1359 1422 1485 1 :.17 L6 0 1672 1735 17'. '7 u 160 1922 5 1985 2047 2110 2172 ,1 2297 2360 2422 2484 2547 6 2609 2672 2 796 28S '.1 2921 2983 3046 31 OS 3170 7 :«:« 3295 3357 3420 3482 3544 3606 3669 3731 3793 8 3855 3918 3960 4 1042 41C 4 4166 4229 4291 1.13 4415 9 4477 4539 4601 4726 4788 4850 4912 4974 5036 700 r.o-.'s 5160 5222 6284 5346 :,}os 5470 5532 5594 5656 62 5718 5780 5842 5904 5806 6028 6080 6151 6213 6275 2 6337 6399 6461 e .523 65$ w 6661 6708 6770 6! 32 6894 3 6955 7017 7071) " 141 72( 12 7264 7326 7388 7 49 7511 4 7573 7634 7696 7758 7819 7881 7943 8004 M Hit-. 8128 5 8189 8251 8312 f s374 84: C 8497 8559 8820 a 182 8743 6 8805 8866 8928 i /IS'.) 9051 9112 9174 9235 9297 9358 7 9419 Mffl 9542 8604 9665 '.172.; 9788 9849 9911 9972 8 s,-,i *,:;;{ 0095 0156 0217 0279 0340 0401 0462 0524 0585 9 0646 0707 0769 0880 OV.»I 0952 1014 1075 1136 1197 710 1258 1320 1381 1 1 12 1503 l.ltil It, 2.1 1MB 1747 1809 1870 1931 1MB I - .lil:< 21 4 2175 2297 2 i.1s 2419 1 2JNO 2541 IBM 2724 27V. 2846 2907 2 168 :i02".i 61 3 3090 3150 B2U 5272 33. Q 3394 3455 3516 31 .77 8637 4 :}<;'. is 3708 8820 1881 39- U 1002 4063 4124 4 85 42 1.1 5 4306 4367 4428 4488 4610 4f,70 4731 4792 4852 4913 5034 1 1096 51. 5216 5337 5, ft 5459 7 5519 5560 5640 .-.701 5822 5882 5943 61 xu 8064 8 6124 6248 006 631 M 6427 8487 ti.1 1^ a MB 6888 9 6729 ti7v'. 6850 1,1111 6970 7031 7oil 7212 7272 PROPORTIONAL r\in-. Difl. 1 65 6.5 13.0 19.5 26.0 32.5 39.0 45.5 52.0 58.5 64 ... 4 12.8 19.2 25.6 32.0 51. 2 57.6 63 6.3 12. 6 18. 9 25.2 31.5 87.8 41 1 62 6.2 12. 4 18. 6 31.0 43.4 55.8 61 6.1 12. 2 18. 3 30.5 :«\ r, 4V s 54.9 60 6.0 12. 0 18. 0 24.0 30.0 36.0 54.0 191 TABLK 10.— LOGARITHMS OF M MBKKS. No. 720 L. 857.] [No. 7G4 L. 883. N. 0 8 9 Diff. 720 857332 7393 7453 7513 7574 7634 7G94 7755 7815 7S7.1 1 7935 7995 8056 8116 8176 8236 8297 8357 8417 8477 2 8537 8597 Mu 7 8718 8778 8838 8898 8958 9018 9078 3 9188 9198 9258 9318 9379 9439 9499 9559 9619 9679 00 .1 9739 9799 9859 9918 9978 0038 0098 0158 0218 0278 5 MHKUX 0398 0458 0518 0578 0637 OG97 0757 0817 \)£i o 0877 G 0937 0996 1050 111(1 1176 1236 1295 1355 111'. 1475 7 i:,::i 1594 1(154 1711 1773 L833 1893 1952 2012 2072 8 2131 2191 22.-, 1 2310 2370 2430 24S9 2549 2608 2668 I 2728 2787 2847 2906 2886 lit)-.'.-) 3085 3144 3204 3263 730 3323 3382 8442 3501 3561 31)20 3G80 3739 3799 3858 1 3917 3977 403G 4096 4155 4214 4274 -I:;:;:! 4W2 4452 2 4511 4570 4630 4689 4748 4808 4867 4926 4985 5045 3 5104 51G3 5222 5282 5341 5400 545'J 5519 5578 6637 4 6606 5755 6814 5874 5933 5992 6051 (1110 6169 6228 5 6287 G346 6405 6465 (1524 6642 6701 6760 6819 6 C878 6937 6996 7055 7114 7163 7232 7291 7350 7409 59 7 71(17 7526 7585 7644 7703 7762 7821 7880 7939 7998 8 8896 8115 8174 8233 8292 8360 8409 8468 8527 8586 9 8044 8703 87G2 8821 8879 8938 8997 9056 9114 9173 740 j 9232 QW1 Ji 9290 <|v~7 9349 !)'.ttr) 9408 9994 9466 9525 9584 9042 9701 9700 yoio tfOf / 0053 0111 0170 022S 0287 0345 2 870404 04G2 0521 0579 0638 0696 0755 0813 0872 ()()(,'.) 2128 2183 2240 2297 2354 24 1 1 2468 67 3 2525 2381 2(138 2895 2752 2808 2866 2923 2980 4 3093 3150 3207 3321 3377 3434 3491 3548 PROPORTIONAL PARTS. Dlff 1" i ^in . 59 5.9 11.8 17.7 23.6 29.5 35.4 41. 3 47. 2 53. 1 58 5.8 11.6 17.4 23.2 29.0 34.8 40. (1 40. 4 52. 2 57 5.7 11.4 17.1 22.8 28.5 34.2 39.9 45.6 51.3 64 5.6 11.2 16. 8 22. 4 28. 0 33.6 39. 2 44. 8 50. 4 192 TABLE 10.-LOGAUITIIMS OF MMIIKUS. No. 765 L. 883.] [No. 800 L. 908. T)ifT . . ism. 765 NS.-»-.«,l 3718 3775 3832 3888 3945 4002 4059 4115 4172 4229 4285 4342 4.T.K) 4455 4512 4569 4625 4688 4739 7 4795 4852 -»;**» 4965 5022 5078 5135 5192 5248 5305 8 5361 5418 5474 5531 5587 5644 5700 5757 5813 5871 9 Ml •tea 6039 8086 6152 6209 6265 6321 6378 6434 770 6491 6547 6604 •888 6716 6773 6829 6885 6942 6998 1 7054 7111 7167 7228 7880 7336 7392 7449 7505 7561 2 7617 7674 7730 77s»; 7812 7888 7955 8011 S<*>7 8123 3 8179 v.w x-M-2 8348 8404 8460 8516 8573 NIL*.) 808! 4 8741 8799 8861 BDOB 8965 802] 9077 9134 9190 9246 5 • MM Mfi2 9358 'I'll S 9414 0074 9470 9526 9582 9638 %'.»4 9750 9806 56 .I'M). .*.' 1 B UV t *! 0030 0086 0141 0197 0253 ( ).'}()<> 0365 7 V.XMLM 0477 0533 6689 0645 0700 0756 0812 OS. IS 0924 8 0000 1035 1091 1147 1203 1258 1314 1370 1426 1482 9 1537 1593 1649 1705 1760 1816 1872 1928 1983 2039 780 2095 2150 2206 2262 2317 2373 2429 2484 2540 2595 2651 2707 2762 2818 2873 2929 2985 3040 3096 31ol 2 3207 3318 3373 M3| 8484 3540 3595 3651 3706 3 3762 3817 3873 3928 3984 4039 4094 4150 4205 42fil 4 431ti 4371 4427 4482 4538 4088 4648 4704 4759 4814 5 4870 4925 4980 5036 5091 5146 5201 5257 5312 5367 6 5423 5478 5533 5588 5644 5699 5754 5809 5864 5920 7 5975 IOM 6085 6140 6195 r, _'.-,! 6306 6361 6416 6471 8 UM 6581 6636 6692 6747 6802 6857 6912 6967 7022 9 7077 7132 7187 7242 7297 7808 7407 7462 7517 7.-.7J 790 762/ 700 7737 7768 7847 7902 7957 8012 8067 8122 55 1 8176 8231 8888 8341 8306 8451 8506 8561 8615 8670 2 8725 8780 8835 8808 8944 8999 9054 9109 91M 4337 4391 4445 4499 4553 4607 4661 3 4716 477D 4KJ4 4N7S 4WJ 6888 /a MM 5094 5148 001 4 8886 5310 8864 5418 5472 68M 5580 5»i34 5688 .r,7l_> 54 5 5796 1800 5904 686JB 6012 6066 6119 6173 6227 6281 • 6335 8888 9448 r,|.i7 6861 8694 0688 6712 6768 6820 7 6874 8827 6981 7035 7088 7143 7196 7250 7304 7358 8 7U1 7465 7519 7573 7626 7680 7734 7787 7841 7896 9 7MI 8002 8BQB 8110 8163 mi 8270 8324 8378 8431 PROPORTIONAL PARTS. Diff. j 57 5.7 11.4 17.1 22.8 28.5 34.2 39.9 45.6 51.3 • 5.6 11.2 16.8 22.4 28.0 33.6 39.2 44.8 60.4 55 5.5 11.0 16.5 22.0 27.5 33.0 38.5 44.0 49.5 54 5.4 10.8 16.2 21.8 27.0 32.4 37.8 432 48.6 41749-U -1.5 193 TABLE 10.— LOGARITHMS OF NUMBERS. No. 810 L. 908.] [No. 854 L. 931. DifT . x/HI. 810 •Kksisr, 8539 8592 8646 86 « 8753 8807 8800 8914 8967 1 9021 9074 9128 9181 9235 9289 9342 •HOC, 9449 9503 2 9556 9610 9663 9716 97 70 9823 Q«X77 9930 9984 0037 3 910091 0144 0197 0251 0304 0358 0411 0164 0518 0571 4 0624 0678 0731 0784 0838 0891 0944 0998 1051 1104 5 1158 1211 1264 1317 13 71 1424 1477 1530 1584 1637 6 1690 1743 1797 1850 1» ):{ 1956 2009 2(Ki3 2116 2169 7 2222 2275 2328 2381 2435 2488 2541 2.J94 2647 2700 8 2753 2806 2859 2913 29 16 3019 3072 3125 3178 3231 9 3284 3337 3390 3443 3496 3549 3602 3655 3708 3761 53 820 3814 3867 3920 3973 4026 4079 4132 4184 4237 4290 1 4343 4396 4449 4502 45 ">,"> 4608 4600 4713 4706 4819 2 4872 4925 4977 5030 5083 5136 5189 5241 5294 5347 3 5400 5453 5505 5558 56 11 5664 5716 5769 5822 5875 4 5927 5980 6033 6085 6138 6191 6243 6296 6349 6401 5 6454 6507 6559 6612 66 14 6717 6770 6822 6875 6927 6 6980 7033 7085 7138 71 to 7243 7295 7348 7400 7453 7 7506 7558 7611 7663 7716 7768 7820 7873 7925 7978 8 8030 8083 8135 8188 82 10 8293 8345 8397 8450 8502 9 8555 8607 8659 8712 8764 8816 8869 8921 8973 9026 830 9078 9130 9183 9235 9287 9340 9392 9444 9496 9549 9601 9653 9706 9758 98 10 9862 9914 9967 0019 0071 2 920123 0176 0228 0280 0332 0384 0436 0489 0541 0593 3 0645 (H197 0749 0801 0853 0906 0958 1010 1062 1114 ro 4 1166 1218 1270 1322 13 -4 1426 1478 1530 1582 1634 Kfl 5 1686 1738 1790 1842 18 14 1946 1998 2050 2102 2154 6 2206 2258 2310 2362 2414 2466 2518 2570 2622 2674 7 2725 2777 2829 2881 29 13 2985 3037 3089 3140 3192 8 3244 3296 3348 3399 3451 3503 3555 3607 3658 3710 9 3762 3814 3865 3917 39< i 4021 •107'J 4124 4176 4228 840 4279 4331 4383 4434 4486 4538 4589 4641 4693 4744 1 47'.i<; 4848 4899 4951 501 13 5054 5106 5157 5209 5201 2 5312 5364 5415 5467 55 is 5570 .-,<;•_> i 5673 5725 5776 3 6628 5879 5931 6962 6034 6085 6137 6188 6240 6291 4 6342 6394 6445 6497 65 IS 6600 6651 6702 6754 6805 5 6857 6908 6959 7011 70! 12 7114 7165 7216 7268 7319 6 7370 7422 7473 7524 7576 7627 7678 7730 7781 7832 7 7883 7935 7986 8037 801 38 8140 8191 8242 8293 8345 8 8396 8447 8498 8549 8601 8662 8703 87.54 8805 8857 9 8908 8959 9010 9061 9112 9163 9215 9266 9317 9368 850 9419 9930 9470 9981 9521 9572 Q823 9674 9725 9776 9827 9879 51 • 0032 < x is: 5 0134 0186 0236 0287 0338 0389 2 '(.'{OHO 0491 0542 0592 0643 0694 0745 0796 0847 0698 3 0949 1000 1051 1102 1153 1204 1254 1305 1356 1407 4 1458 1509 1560 1610 1061 1712 1763 1814 1865 1915 PROPORTIONAL PARTS. Did. 1 2 3 4 5 6 789 53 5.3 10.6 15.9 21.2 26.5 31.8 37. 1 42. 4 47. 7 62 5.2 10.4 15.6 20.8 26.0 31.2 36.4 41.6 46.8 51 5.1 10.2 15. 3 20. 4 25. 5 30. 6 35.7 40.8 45.9 50 5.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0 194 TABLE 10. -LOGARITHMS OF NTHKKKS. No. 855 L. 931.] [No. 899 L. 954. DifT . 1-M II. 855 9319GC 2017 2068 2118 2169 2220 2271 2322 2372 2423 0 2474 2575 2636 2677 2727 2778 2838 2879 2930 7 2981 3031 3083 3133 3183 3234 3285 3335 3386 3437 s 3487 3538 3580 3639 3690 3740 3791 3841 3892 3943 1 3993 4044 4094 4145 4195 4246 42% 4347 4397 4448 860 4498 4549 4599 4650 4700 4751 4801 4881 4902 4953 1 8QD8 BOM 5104 5154 5205 5255 5306 5356 5406 5457 2 HOT 5558 5608 5658 5709 5759 5809 5860 5910 5960 3 6011 6061 6111 6162 6212 62G2 6313 6363 6413 6463 4 6514 6564 6614 6665 6715 6765 6815 6865 6916 6966 5 7016 7066 7116 7167 7217 7267 7317 7367 7418 7468 6 7518 7568 7618 7668 7718 7769 7819 7869 7919 7969 7 8018 8080 8119 8169 8219 8269 8320 8370 8420 8470 50 8 8530 8570 8620 8670 8720 8770 8820 8870 8920 8970 9 9020 9070 9120 9170 9220 9270 9320 9369 9419 9469 870 9519 9569 9619 9669 9719 9769 9819 9869 9918 9968 ! '.HI MIS 0068 0118 0168 0218 0267 0317 0367 0417 0467 2 0616 0566 0616 0666 0716 0765 0815 0865 0915 0964 3 1014 1064 1114 1163 1213 1263 1313 1362 1412 1462 4 1511 1561 1611 1660 1710 1760 1809 1859 1909 1958 5 2008 2058 2107 2157 2207 2256 2306 2355 2405 2455 6 2504 2554 2603 2653 2702 2752 2801 2851 2901 2950 7 8000 3049 3099 3148 3198 3247 3297 3346 3396 3445 8 3495 3544 3593 3643 3692 3742 3791 3841 3890 3939 9 3989 4038 4088 4137 4186 4236 4285 4335 4384 4433 880 4483 4532 4581 4631 4680 4729 4779 4828 4877 4927 1 4976 5025 5074 5124 5173 5222 5272 5321 5370 5419 2 5469 5518 5567 5616 6866 5715 5764 5813 5862 591* 3 5961 6010 6059 6108 6157 6207 6256 6305 6354 6403 4 6452 6501 6551 6600 6640 6698 6747 6796 6845 8804 5 6943 6992 7041 7090 7139 7189 7238 7287 7336 7385 6 7434 7483 7532 7581 7630 7679 7728 7777 7826 7875 49 7 7924 7973 8023 8070 8119 8168 8217 8266 8315 8364 8 8413 8462 8511 8560 8Q06 8657 8706 8755 8804 8853 9 8902 8951 8999 9048 9097 9146 9195 9244 9292 9341 890 9390 Mat 9488 9536 9585 9634 9683 9731 9780 9829 1 9878 '.t.'jii 9975 0024 0073 ni2i 0170 0210 0267 0316 2 980365 0414 0462 0511 0560 UHl 0608 Ulf U 0657 UuflV 0708 0754 8803 3 0851 0900 9949 0997 1046 1095 1143 1192 1240 1289 4 1838 1886 1435 1483 1533 1580 1639 1677 1796 1775 5 1833 1872 1930 1968 :?:«•_> 2841 2888 2938 99H BOM 8083 3131 8180 8238 8 3276 8338 8878 3421 3 4 70 8518 8566 8615 8883 3711 9 3760 3808 3856 3905 3953 4001 4049 4098 4146 4194 PROPORTIONAL PARTS. DIfT uin. 51 5.1 10.2 15.3 20.4 25.5 30.6 35.7 40.8 45.9 50 6.0 10.0 15.0 20.0 25.0 30.0 35.0 40.0 45.0 49 4.9 9.8 14.7 19.6 24.5 29.4 34.3 39.2 44.1 48 4.8 9.6 14.4 19.2 24.0 28.8 33.6 38.4 43.2 195 TABLE 10. -LOGARITHMS OF MMBKKS. No. 900 L. 954.] [No. 944 L. 975. N. 0 1 • 3 4 5 6 7 8 I Dill. 900 954213 4291 4339 4387 4435 4484 4532 4580 4628 4677 1 4725 4773 4821 4S69 4918 4966 5014 5062 5110 5158 2 6207 5255 5303 6351 5399 5447 5495 5543 5592 5640 3 5688 5784 S632 5880 5928 5976 6024 6072 6120 4 6168 6216 6265 6313 6361 6409 6457 6505 6553 6601 5 9649 6697 6745 6793 6840 6888 6936 6984 7032 7080 48 e 7128 7176 7224 7272 7320 7368 7416 7464 7512 7559 7 7607 7655 7703 7751 7799 7847 7894 7912 7990 8038 8 8086 8134 8181 8229 8277 8373 8421 8468 8516 9 8564 8612 8659 8707 8755 8803 8850 8898 8946 8994 910 9041 9089 9137 9185 9232 9280 9328 9375 9423 9471 1 9518 9566 9614 9661 9709 9757 9804 9852 9900 9947 2 9995 . 0042 0090 0138 0185 0233 0280 03*^8 8376 0497 3 960471 0518 0566 0613 0661 0709 0756 0804 0851 V-l^O 0899 4 0946 0994 1041 1089 1136 1184 1231 1279 1326 1374 5 1421 1469 1516 1563 1611 1658 170(5 1753 1801 1848 6 1895 1943 1990 2085 2133 2180 L>_"_>7 2275 2322 7 2369 2417 2404 2511 2559 2606 9663 2701 2748 2795 8 2843 2890 2937 2985 3032 3079 3126 3174 3221 3268 9 3316 3363 3410 3457 3504 3552 3599 3646 3693 3741 920 3788 3835 3882 3929 3977 4024 4071 4118 4165 4212 1 4260 4307 4354 4401 4448 4495 1542 4590 4637 4684 2 4731 4778 4825 4872 4919 5013 5061 5108 5155 3 5202 5249 5296 5343 5390 5437 5484 5531 5578 5625 4 5672 5719 5766 5813 5860 5907 5954 6001 6048 6095 47 5 6142 6189 6236 6283 6329 6378 6423 6470 6517 6564 6 6611 6658 6705 6752 6799 6845 6892 6939 6986 7033 7 7080 7127 7173 7220 7267 7314 7M1 7408 7454 7501 8 7548 7595 7642 7688 7735 7782 7829 7875 7922 7989 9 8016 8062 8109 8156 8203 8249 8296 8343 8390 8436 930 8483 8530 8576 8623 8670 8716 8763 8810 8856 8903 8MO 8906 9043 9090 9136 9183 9229 9276 9323 9369 2 9116 0463 9509 9556 9602 9649 9695 9742 9789 9835 3 9882 9928 9975 0021 0068 0114 0161 0207 0254 0300 4 970347 0393 0440 0486 0533 0579 0626 0672 0719 0765 5 0812 os:,s 0904 0951 0997 1044 1090 1137 1183 1229 6 1276 1322 1369 1415 1461 1508 1554 1601 1647 1693 7 1710 1786 1832 1879 1925 1971 201 S 2964 2110 1157 8 22IM 2249 22D5 2342 2388 2484 2481 2527 2573 IV, 10 9 MM 2712 2758 28M 2851 2897 2943 2989 3035 3682 940 3128 3174 :«20 3266 3313 3359 3405 3451 3497 3543 3636 3682 3728 3774 3820 3866 3913 3959 400.-, 2 4051 4097 4143 4189 4235 4281 4327 4374 4420 4466 3 4512 4558 4604 4650 4696 4742 4788 4834 4880 4926 4 4972 6018 5064 5110 5156 5<;02 5248 5294 6340 (386 46 PROPORTIONAL PARTS. Diff. 1 23456 789 47 4.7 9.4 14.1 18.8 23.5 28.2 32. 9 37. 6 42. 3 46 4.6 9.2 13.8 18.4 23.0 27.6 32.2 36.8 41.4 196 T\r,i I. 10.— LOGARITHMS OF NTMHKRS. No. 945 L. 975.] [No. 989 L. 995. 1 )ilf . 1 M 11 . 945 075432 5478 5524 5570 5616 5662 5707 5753 87M 5M5 G 5891 5937 5983 6029 6075 6121 6167 6212 6258 6304 7 6350 6306 6442 6-188 65.' « 6579 6671 6717 6763 8 MOB 6854 6900 6946 80 vi 7037 70S 7129 7175 7220 9 72M 7312 7358 7403 7449 7495 7541 7586 7632 7678 950 77_'4 7769 7815 7861 7906 7952 7998 8043 8089 8135 1 8181 822(i 8272 8317 83( A 8409 8454 8500 M 1C. 8591 2 MSI MH 8738 8774 88 9 8865 soil 8966 9002 9047 3 9Q91 9138 9184 9275 9321 9366 9412 9457 95m 4 '.).-, is KM MM 87M I7M 9821 9867 9912 9958 5 yxim-i 0049 0094 0140 0185 0231 0276 0322 0367 0412 C 0158 QMS 0549 0594 Ofr i) M85 0730 0776 0821 0867 7 0912 0957 1003 1048 1093 1139 1184 1229 1275 1320 8 1366 1411 1456 1501 15- 17 1592 1637 1683 1728 1773 9 1819 1864 1909 1954 2000 2045 2090 2135 2181 2226 960 2271 2316 2362 2407 2452 2497 2543 2588 MM 2678 1 2723 27M 2814 2859 MM 2949 MM 3040 M86 3130 2 3175 3220 32C.5 3310 33. »', 3401 3446 3491 3536 3581 3 3626 3671 3716 3762 as •7 M52 3897 3942 3987 4032 4 4077 4122 4167 4212 42, 17 4302 4347 4392 4437 4482 5 4527 4572 4617 46G2 4707 4752 4797 4842 4887 4932 45 6 4977 5022 5067 5112 5157 S202 5247 5292 5337 5382 7 5426 5471 5516 5561 561 W 5651 5696 5741 5786 5830 8 5875 5920 5965 6010 6055 6100 6144 6189 • ,1V, I 8379 9 6324 6369 6413 6458 6503 6548 6593 W137 6682 6727 970 6772 6817 6861 6906 6951 6996 7040 7085 7130 7175 1 7219 72C4 7309 7353 7398 7443 7488 7532 7577 7622 2 7986 7711 7756 mo 78- 15 7890 7934 7979 8024 8068 3 8113 8157 8202 8247 8291 BSM 8381 8425 8470 8514 4 8559 8604 8648 MM >7 8782 ss_V, 8871 8916 8MO 5 9005 9049 9094 1138 91 a 9227 9272 9311. 9361 9405 15 MM MM 9494 'fi.i'.i KM '.»'is: > 9583 9628 9672 9717 9761 9806 BBM Wo*W flO'N no -•> fli 17 1)1.1 (]•>!),• norn fioof S ;>'.»u: ;••.'.> 0383 0428 •UBB 0472 UUi if 0516 Ul '< 0561 U1O1 0605 UJ1H> OCoO u«iOU MM U».M 0738 9 0781 ns_>7 0871 0916 0960 1004 1049 1093 1137 1182 m 1226 1270 1315 1359 1403 1448 1492 1536 1580 1625 i 1669 1713 1758 IM9 18- M Is! Ml 1936 1878 MM •JIM,; 2 2111 2156 2200 2244 221 ^S m< 2377 2421 2465 2M8 3 2554 2598 M48 2730 2774 2819 2807 2951 4 Ml 3039 MM 8127 31 -_' 3216 :wc,o :r.i>i 3348 3392 5 MM MM KM 35(18 3613 3657 3701 374:1 3789 88M 6 3877 3921 3905 4009 4« 18 4097 4141 IIS.', am 1878 7 4317 4405 4449 44 a 4537 MH 4IU19 4713 11 8 4757 4801 1X15 IS VI 4933 4977 5021 5108 5152 9 5196 5240 MM 5328 5372 5416 5460 5547 5591 PROPORTIONAL PARTS. Dili. 1 2 3 4 5 6 7 8 9 46 4.6 9.2 13.8 18.4 23.0 27.6 32.2 36.8 41.4 45 4.5 9.0 13.5 18.0 22.5 27.0 31.5 36.0 40.5 44 4.4 8.8 13.2 17.6 22.0 26.4 30. 8 35. 2 39.6 43 4.3 8.6 12.9 17.2 21.5 25.8 30. 1 34. 4 38.7 197 TABLE 10.— LOGARITHMS OF NUMBERS. No. 990 L. 995.] [No. 999 L. 999. N. 0 1 2 3 4 5 6 7 8 9 Diff. 990 995635 5679 5723 5767 5811 5854 5898 5942 5986 6030 1 6074 6117 6161 6205 6249 6293 6337 6380 6424 6468 44 2 6512 6555 6599 6643 6687 6731 6774 6818 6862 8906 3 6949 6993 7037 7080 7124 7168 7212 7255 7299 7343 4 7386 7430 7474 7517 7561 7605 7648 7692 7736 7779 5 7823 7867 7910 7954 7998 8041 8085 8129 8172 8216 6 8259 8303 8347 8390 8434 8477 8521 8564 8608 8652 7 8695 8739 8782 8826 8869 8913 8956 9000 9043 9087 8 9131 9174 9218 9261 9305 9348 9392 9435 9479 9522 9 9565 9609 9652 9696 9739 9783 9826 9870 9913 9957 43 198 Tllll.K ll.-CONVERGENCY OP MERIDIANS, SIX MILES LONG AND SIX MILES APART, AND DIFFERENCES OF LATITUDE AND LONGITl IH . Lat Converges Difference of longitude per range. Difference of latitude for— On the parallel. Angle. In arc. In time. Imi. ITp. • Liu. / // / i> Seconds. 25 33.9 2 25 5 44.34 22.96 26 35.4 2 32 5 47.20 23.15 ' 27 37.0 •2 *.i 5 50.22 23.35 0.871 5.229 28 38.6 2 46 5 53.40 23.56 29 40.2 2 53 5 56.74 23.78 30 41.9 3 0 6 0.26 24.02 31 43.6 3 7 6 3.97 24.26 32 45.4 3 15 6 7.87 24.52 0.871 5.225 33 47.2 3 23 6 11.96 24.80 34 49.1 3 30 6 16.26 25.08 35 50.9 3 38 6 20.78 25.39 36 52.7 3 46 6 25.53 25.70 37 54.7 3 55- 6 30.52 26.03 0.870 5.221 38 56.8 4 4 6 35.76 26.38 39 58.8 4 13 6 41.27 26.75 10 60.9 4 22 6 47.06 27.14 41 63.1 4 31 6 53.15 27.54 Q 65.4 4 41 6 59.56 27.97 0.869 5.216 43 67.7 4 51 7 6.29 28.42 44 70.1 5 1 7 13.39 28.89 45 72.6 5 12 7 20.86 29.39 46 75.2 5 23 7 28.74 29.92 t: 77.8 5 34 7 37.04 30.47 0.869 5.211 48 80.6 •i 4i\ 7 45.80 31.05 49 83.5 5 59 7 55.05 31.67 50 86.4 6 12 8 4.83 32.32 51 89.6 6 25 8 15.17 33.03 52 92.8 6 39 8 28.13 33.74 0.868 5.207 53 96.2 6 54 8 37.75 34.52 54 99.8 7 9 8 50.07 35.34 55 103.5 7 25 . 9 3.18 36.22 56 107.5 7 42 9 17.12 37.14 57 111.6 8 0 9 31.97 38.13 0.867 5.202 58 116.0 8 19 9 47.83 *.i. !-.» 59 120.6 8 38 10 4.78 40.32 60 125.5 8 59 10 22.94 41.52 61 130.8 !i -2-2 10 42.42 42.83 62 13ft. 1 '» |.i 11 3.38 44.22 0.866 5.198 63 10 11 11 25.97 45.73 64 148.6 10 38 11 50.37 17. M 155.0 11 8 12 16.82 49.12 M 1-,'J s 11 39 12 45.55 51.04 67 170.7 12 13 13 16.88 53.12 MH 5.195 • 179.3 12 51 13 51.15 55.41 69 188.7 13 31 14 28.77 57.92 70 199.1 14 15 15 10.26 Mtfl IM 5.193 199 TABLE 12.-AZIMUTHS OP THE TANGENT TO THE PARALLEL. Lat. Irai. 2 mi. 3 mi. 4 mi. 5 mi. 6 mi. 25 89 59.6 89 59.2 89 58.8 89 58.4 89 58.0 89 57.6 26 59.6 59.2 58.7 58.3 57.9 57.5 27 59.6 59.1 58.7 58.2 57.8 57.4 28 59.5 59.1 58.6 58.2 57.7 57.2 29 59.5 59.0 58.6 58.1 57.6 57.1 30 59.5 59.0 58.5 58.0 57.5 57.0 31 59.5 59.0 58.4 57.9 57.4 56.9 32 59.5 58.9 58.4 57.8 57.3 5G.8 33 59.4 58.9 58.3 57.7 57.2 56.6 34 59.4 58.8 58.2 57.7 57.1 56.5 35 59.4 58.8 58.2 57.6 57.0 56.4 36 59.4 58.7 58.1 57.5 56.9 56.2 37 59.3 58.7 58.0 57.4 56.7 50. 1 38 59.3 58.6 58.0 57.3 50. 6 55.9 39 59.3 58.6 57.9 57.2 56.5 55.8 40 59.3 58.5 57.8 57.1 56.4 65.6 41 59.2 58.5 57.7 57.0 56.2 55.5 42 59.2 58.4 57.7 56/9 56.1 55.3 43 59.2 58.4 57.6 56.8 56.0 55.2 44 59.2 58.3 57.5 56.7 55.8 55.0 45 59.1 58.3 57.4 56.5 55.7 54.8 46 59.1 58.2 57.3 56.4 55.5 54.6 47 59.1 58.1 57.2 66.3 55.4 54.4 48 59.0 58.1 57.1 50.2 55.2 54.2 49 59.0 58.0 57.0 56.0 55.0 54.0 50 59.0 57. P 56.9 55.9 54.8 53.8 51 58.9 57. „ 56.8 55.7 54.0 53.6 52 58.9 57.8 56.7 55.6 54.5 53.4 53 58.8 57.7 56.6 55.4 54.2 53.1 54 58.8 57.6 56.4 55.2 54.0 52.8 55 58.8 57.5 56.3 55.1 53.8 52.6 56 58.7 57.4 56.2 54.9 53.6 52.3 57 58.7 57.3 56.0 54.7 53.3 52.0 58 58.6 57.2 55.8 54.5 53.1 51.7 59 58.6 57.1 55.7 54.2 52.8 51.4 60 58.5 57.0 55.5 5.4.0 52.5 51.0 61 58.4 56.9 55.3 53.8 52.2 50.6 • 58.4 56.7 55.1 63.5 51.9 50.2 63 58.3 56.6 54.9 53.2 51.5 49.8 M 58.2 56.5 54.7 52.9 51.1 49.4 65 58.1 56.3 54.4 52.6 50.7 48.9 06 58.1 56.1 54.2 52.2 50.3 48.4 r,7 58.0 55.9 53.9 51.8 4'.). H 47. x 68 57.9 55.7 58.6 51.4 49.3 47.2 69 57.8 55.5 53.2 51.0 48.8 46.5 70 89 57.6 89 55.8 89 52.9 89 50.5 V. -ix. 1 89 45.8 200 TABLE IS.-OFFSI:TS. IN LINKS. FROM THE TANGENT TO THE PARALLEL. Lat. a ImL & 2ml. a 3 mi. % 4ml. SL 5ml. 5H mi. f, mi. e 25 0 0 1 2 3 4 6 8 10 B 14 17 26 0 0 1 2 3 4 6 8 10 12 15 18 27 0 1 2 3 5 6 8 10 13 16 18 28 0 1 2 3 5 7 9 11 13 16 19 29 0 1 2 3 5 7 9 11 14 17 20 30 0 1 2 4 5 7 9 12 15 18 21 31 0 1 2 4 5 7 10 12 15 18 22 32 0 1 3 4 6 8 10 13 If. 19 23 33 0 1 3 4 0 8 10 13 16. 20 24 34 0 2 3 4 6 8 11 14 17 21 25 35 0 2 3 4 6 8 11 14 18 21 25 3fi 0 2 3 5 7 9 12 15 18 22 18 37 0 2 3 5 7 9 12 15 19 23 27 38 0 2 3 5 7 10 13 16 20 24 28 39 0 2 3 5 7 10 13 17 20 25 29 40 2 3 5 8 10 14 17 21 26 30 41 2 4 5 8 11 14 18 2) 27 81 a 2 4 6 8 11 15 18 28 27 33 43 2 4 6 8 11 15 19 24 28 34 44 2 4 6 9 12 16 20 24 29 35 45 2 4 6 9 12 16 20 25 30 36 46 2 4 7 9 13 17 21 26 32 38 47 2 4 7 10 13 17 22 27 33 30 48 3 4 7 10 14 18 23 28 34 40 49 3 5 7 10 14 19 23 29 35 42 50 3 5 8 11 15 19 24 30 36 43 51 3 5 8 11 15 20 25 31 38 45 52 3 5 8 12 16 21 26 32 39 53 0 3 5 8 12 16 21 27 33 40 4S 54 0 1 3 6 9 12 17 22 28 35 42 50 55 0 1 3 6 9 13 18 23 29 36 43 52 56 0 1 3 8 9 18 18 24 30 37 45 54 57 0 2 3 6 10 K 19 25 31 30 47 56 58 0 2 8 10 it 20 M 33 40 49 58 59 0 2 7 10 15 20 27 34 42 51 60 60 0 2 7 11 1., 21 28 35 44 53 • 61 0 2 7 11 li. 22 87 45 55 65 62 0 2 8 12 17 23 30 38 47 57 68 63 0 •_' 8 12 H 24 38 40 49 60 71 64 1 2 8 13 19 25 33 42 52 62 74 65 1 2 9 u K) 26 34 44 54 81 7s 88 1 2 9 L4 10 28 36 46 57 68 81 67 1 2 9 i:> 21 29 38 48 59 72 85 88 1 2 i M 30 40 50 62 75 90 69 1 3 10 16 24 32 53 66 78 94 JO 1 3 6 It 17 25 34 44 56 88 84 100 201 TABLE 14,— AZIMUTHS OF THE SECANT. Lat. Oral. Imi. 2 mi. 3 mi. Deflection angle 6 mi. e 0 / 0 / 0 / , „ 25 89 58.8 89 59.2 89 59.6 90° 2 25 26 58.7 59.2 59.6 E.or W. 2 32 27 58.7 59.1 59.6 i it 2 39 28 58.6 59.1 59.5 i tt 2 46 29 58.6 59. 0 59.5 < « 2 53 30 58.5 59.0 59.5 , tt 3 0 31 58.4 59.0 59.5 i it 3 7 32 58.4 58.9 59.5 i 11 3 15 33 58.3 58.9 59.4 i it 3 23 34 58.2 58.8 59.4 1 " 3 30 35 58.2 58.8 59.4 , « 3 38 36 58.1 58.7 59.4 i it 3 46 37 58.0 58.7 59.3 t tt 3 55 38 58.0 58.6 59.3 t tt 4 4 39 57.9 58.6 59.3 t « 4 13 40 57.8 58.5 59.3 t tt 4 22 41 57.7 58.5 59.2 t tt 4 31 42 57.7 58.4 59.2 i tt 4 41 43 57.6 58.4 59.2 t a 4 51 44 57.5 58.3 59.2 i tt 5 1 45 57.4 58.3 59.1 t tt 5 12 46 57.3 58.2 59.1 t tt 5 23 47 57.2 58.1 59.1 i tt 5 34 48 57.1 58.1 59.0 i tt 5 46 49 57.0 58.0 59.0 i it 5 59 50 56.9 57.9 69.0 t it 6 12 51 56.8 57.9 58.9 t tt . 6 25 52 56.7 57.8 58.9 t it 6 39 53 56.6 57.7 58.8 t it 6 54 54 56.4 57.6 58.8 t tt 7 9 55 56.3 57.5 58.8 t tt 7 25 56 56.2 57.4 58.7 t tt 7 42 57 56.0 57.3 58.7 i it 8 0 58 55.8 57.2 58.6 i n 8 19 59 55.7 57.1 58.6 t tt 8 38 60 55.5 57.0 68.5 t tt 8 59 61 55.3 56.9 68.4 i it 9 22 62 55.1 56.7 58.4 t tt 9 46 63 54.9 56.6 58.3 t tt 10 11 64 54.7 66.5 58.2 i it 10 38 65 54.4 56.3 68.1 t tt 11 8 88 64.2 56.1 58.1 t it 11 39 67 53.9 55.9 58.0 i it 12 13 68 53.6 55.7 57.9 t it 12 51 69 63.2 55.5 57.8 t it 13 31 70 89 62.9 89 66.3 89 57.6 tt tt tt 14 15 6 mi. 5 mi. 4 mi. 3 mi. 202 TVI'.I.K 15.-OFFSKTS, IN LINKS, FKOM THE SECANT TO THE PARALLEL. Lat. Omi. HmL 1 mi. l^rnl. 2ml. 2Hmi. 3 mi. e 25 2N. IN. 0 IS. IS. 28. 28. 26 2 1 0 1 2 2 27 3 1 0 1 2 2 2 28 3 1 0 1 2 2 2 29 3 1 0 1 2 2 2 30 3 1 0 1 2 2 2 ;K S. 1)K( LI NATIONS. Lati Sun's Decl. 25* 30° 35» 40' 45- • i 0 0 * m 6 0 0 * m 6 0 * HI 6 0 * m 6 0 1 6 2 2 6 3 6 3 6 4 2 6 4 5 6 6 6 7 li S 6 6 7 6 8 6 10 6 12 •; : 9 6 11 6 13 6 16 6 9 6 12 6 14 6 17 r, -jii 6 11 6 14 6 17 r, -.1) .1 L'i 6 13 ,, if, 6 20 6 24 «i LN i:, 6 19 6 23 6 27 6 32 17 6 '-'I 6 25 6 31 6 36 10 19 6 23 6 28 6 34 r, 41 11 21 6 26 6 31 6 38 i; 4.1 12 23 6 28 6 34 6 41 6 49 [J 25 6 31 6 37 6 45 6 53 u 6 27 6 33 6 40 6 48 6 58 15 6 29 6 36 6 43 6 52 7 2 16 6 31 6 38 6 46 6 56 7 7 17 6 33 6 41 6 49 6 59 7 11 18 6 35 6 43 6 53 7 3 7 16 19 6 37 6 46 6 56 7 7 7 21 20 6 39 6 49 6 59 7 11 7 26 21 6 41 6 51 7 2 7 15 7 30 22 6 43 6 54 7 6 7 19 7 35 23 6 46 6 57 7 9 7 23 7 40 23 27 6 47 6 58 7 11 7 25 7 43 ^ , . »i ' Lati Mill ^ Decl. 50° 55° 60» 65° 70° 0 0 ft « 6 0 ft m 6 0 m 0 fc m 6 0 * m 6 0 1 6 5 6 6 7 6 9 • •. 11 _• 6 10 G 11 14 6 17 6 22 3 6 14 6 17 21 r, •_>••, 6 33 4 6 19 6 23 28 6 34 6 44 5 24 6 29 35 6 42 6 56 6 29 6 35 42 «-. :,.' 7 7 7 34 r, 4«i 49 7 0 7 19 8 39 6 46 SB 7 10 9 II 6 52 7 4 7 19 7 43 10 49 6 58 7 11 7 29 7 56 11 54 7 4 7 1'.' 7 39 8 9 12 59 7 11 7 4S 8 23 13 7 4 7 17 7 34 7 59 8 37 14 7 9 7 23 7 42 8 9 8 53 15 7 14 7 30 7 51 8 20 9 10 16 7 20 7 37 7 59 8 32 9 28 17 7 25 7 44 8 8 8 44 9 48 18 7 31 7 51 8 17 8 57 10 13 19 7 58 8 26 9 10 10 44 20 7 43 8 5 8 36 9 25 12 00 •Jl 7 49 8 13 8 47 9 42 22 7 55 8 21 8 58 10 0 23 8 2 8 29 9 9 10 22 23 27 8 5 8 33 9 15 10 34 205 TABLE 18.-CONVERSION OF DEGREES TO TIME, AND TIME TO DEGREES. To reduce degrees to time. To reduce time to degrees. • H. M. 0 H. M. M. 0 , M. 0 / ' M.S. ' M.S. 1 |J § 1 S. / „ 8. , // " S. T. " S. T. 1 II o H $ T. " '" T. " "' 1 0 4 51 3 24 101 6 44 1 15 1 0 15 51 12 45 2 0 8 52 3 28 102 6 48 Ifc 22^ 2 0 30 52 13 0 3 0 12 53 3 32 103 6 52 2 30 3 0 45 53 13 15 4 0 16 54 3 36 104 6 56 1Y* 37^ 4 1 0 54 13 30 5 0 20 55 3 40 105 7 0 3 45 5 1 15 55 13 45 6 0 24 56 3 44 106 7 4 3^ 52^ 6 1 30 56 14 0 7 0 28 57 3 48 107 7 8 4 60 7 1 45 57 14 15 8 0 32 H 3 52 108 7 12 4H 67^ 8 2 0 58 14 30 9 0 36 59 3 56 109 7 16 5 75 9 2 15 59 14 45 10 0 40 M 4 0 110 7 20 5y2 82y2 10 2 30 60 15 0 11 0 44 61 4 4 115 7 40 6 90 11 2 45 61 15 15 12 0 48 62 4 8 120 8 0 6^ 97H 12 3 0 62 15 30 13 0 52 63 4 12 125 8 20 7 105 13 3 15 63 1545 14 0 56 64 4 16 130 8 40 7^ 112H 14 3 30 64 16 0 15 1 0 65 4 20 135 9 0 8 120 15 3 45 65 16 15 16 4 66 4 24 140 9 20 8H 127^ 16 4 0 66 16 30 17 8 67 4 28 145 9 40 9 135 17 4 15 (17 16 45 18 12 68 4 32 150 10 0 9M 142^ 18 4 30 6S 17 0 19 1(> 69 4 36 155 10 20 10 150 19 4 45 69 17 15 20 20 70 4 40 160 10 40 ioy2 157^ 20 5 0 70 17 30 21 24 71 4 44 165 11 0 11 165 21 5 15 71 17 45 22 28 72 4 48 170 11 20 nlA 172^ 22 5 30 72 18 0 23 32 7:5 4 52 175 11 40 12 180 23 5 45 73 18 15 24 36 71 4 56 180 12 0 12V6 187^ 24 6 0 74 18 30 25 40 75 5 0 is;, 12 20 13 195 25 6 15 75 18 45 26 44 76 5 4 190 12 40 13>i 202^ 26 6 30 76 19 0 27 48 77 5 8 195 13 0 14 210 27 6 45 77 19 15 28 52 78 5 12 200 13 20 WH 217H 28 7 0 78 19 30 29 56 79 5 16 205 13 40 15 225 29 7 15 79 19 45 30 2 0 80 5 20 210 14 0 15H 232J4 30 7 30 80 20 0 31 2 4 81 5 24 215 14 20 16 240 31 7 45 81 20 15 32 2 8 83 5 28 220 14 40 ieji 247^ 32 8 0 82 20 30 33 2 12 83 5 32 225 15 0 17 255 33 8 15 83 20 45 34 2 16 84 5 36 230 15 20 17H 2fi24 34 8 30 84 21 0 35 2 20 85 5 40 235 1540 18 270 35 8 45 85 21 15 36 2 24 86 5 44 240 16 0 18^ 277^ 36 9 0 86 21 30 37 2 28 87 5 48 245 16 20 19 285 37 9 15 87 21 45 38 2 32 88 5 52 250 16 40 19V3 .".I.", 38 9 30 88 22 0 3d 2 36 89 5 56 255 17 0 20 300 39 9 45 89 22 15 40 2 40 90 6 0 260 17 20 20H 307H 40 10 0 90 22 30 41 2 44 91 6 4 270 18 0 21 315 41 10 15 91 22 45 42 2 48 92 6 8 280 18 40 21^ 822^ 42 10 30 92 23 0 43 2 52 93 6 12 290 19 20 22 330 43 10 45 93 23 15 44 2 56 94 6 16 300 20 0 22^ :u7>,, 44 11 0 94 23 30 45 3 0 95 6 20 310 2040 23 345 45 11 15 95 23 45 46 3 4 96 6 24 320 21 20 23 J4 352H 46 11 30 96 24 0 47 3 8 97 6 28 330 22 0 24 360 47 11 45 97 24 15 48 3 12 98 6 32 340 22 40 48 12 0 98 24 30 49 3 16 99 6 36 350 23 20 49 12 15 99 24 45 50 3 20 100 6 40 360 24 0 50 12 30 100 25 0 206 TVIII.K i'». SUM UK\I < o\\ KUMOSS. Loufttndii 0° V 2° 30' 5° 0' 7° 30' 10° 0' 12° 30- 15° 0' Minutes. Long. Hours. 0 10 20 30 40 50 GO • m 8 m t m 8 m a m 8 m s m * 0 0 0 0 0 2 0 3 0 5 0 7 0 8 0 10 15 1 0 10 0 11 0 13 0 15 0 16 0 18 0 20 30 2 0 20 0 21 0 23 0 25 o -jr, 0 28 0 30 45 3 0 30 0 31 0 33 0 34 0 36 0 38 0 39 60 4 0 39 0 41 0 43 0 44 0 46 0 48 0 49 75 5 0 49 0 51 0 53 0 54 0 56 0 57 0 59 90 6 0 59 1 1 1 2 4 6 1 7 1 9 105 7 9 1 11 1 12 14 15 1 17 1 19 120 8 19 1 20 1 22 24 25 1 27 1 29 135 9 29 1 30 1 32 34 35 1 37 1 38 150 10 38 1 40 1 42 43 45 1 47 1 48 165 11 48 1 50 1 52 53 55 1 56 1 58 180 b 58 2 0 2 1 2 3 2 5 2 6 2 8 195 13 2 8 2 10 2 11 2 13 2 15 2 16 2 18 210 11 2 18 2 19 2 21 2 23 2 24 2 26 2 28 225 15 2 28 2 29 2 31 2 33 2 34 2 36 2 37 240 16 2 37 2 39 2 41 2 42 •2 -14 2 46 2 47 255 17 •J !7 2 49 2 51 2 52 2 54 2 56 2 57 270 18 2 57 2 59 3 0 3 2 3 4 3 5 3 7 285 19 3 7 3 9 3 10 3 12 3 14 3 15 3 17 300 20 3 17 3 18 3 20 3 22 3 23 3 25 3 27 315 21 3 27 3 28 3 30 3 32 3 33 3 35 3 37 330 22 3 37 3 38 3 40 3 41 3 43 3 45 3 46 345 23 3 46 3 48 3 50 3 51 3 53 3 55 3 56 Hours. Sidereal into mean solar time: To be subtracted from a sidereal time interval: Argun u»nt hours and minutes of sidereal interval. Mean Solar intosidereal time: To beaddedtoa mean time interval: Argumenthours and minutes of mean time interval. I pjx-r culmination of Polaris: Amount to be subtracted from the Greenwich mean time of up|MT culmination of Polaris, or of elongation, to obtain the local mean time of upper culmination, or of elongation: Argument longitude west from Greenwich. The ;ifw>ve table is an abridged mean of tuo tables given in the American eris and Nautical Almanac for similar conversion^: reductions invoh ing a rvline- ment exceeding 0.8 seconds must be made from the more elaborate tables. 207 TABLE 20.— MEAN REFRACTIONS IN ZENITH DISTANCE. Bar.=29.6 Ins. Temp.=50° F. Apparent altitude. Refraction. Apparent altitude. Refraction. Apparent altitude. Refraction. 0 / 7 30 6 53 0 / 12 0 4 25 0 25 2 3 40 45 12 30 15 26 1 58 7 50 37 13 0 4 5 27 53 8 0 30 13 30 3 5G 28 48 10 22 14 0 47 29 44 20 15 14 30 39 30 40 30 8 15 0 32 32 32 40 6 2 15 30 25 34 25 *8 50 5 55 16 0 19 36 19 9 0 49 16 30 13 38 14 10 43 17 0 7 40 9 20 38 17 30 3 1 42 4 30 32 18 0 2 56 44 1 0 40 26 18 30 51 4<> 0 56 9 50 21 19 0 46 48 tf 10 0 10 19 30 42 50 48 20 5 6 20 0 37 55 40 10 40 i :,: 21 0 29 60 33 11 0 48 22 0 22 05 27 20 40 23 0 15 70 ft 11 40 32 24 0 9 80 10 12 0 4 L'5 25 0 2 3 90 0 0 SUN'S PARALLAX IN ALTITl DE. Apparent altitude 0° 88* 48° 63° 77° 90° Sun's parallax . - - 8". 9 8" 6" 4" 2" 0" 208 rvP.M KICIKNTS TO APPLY TO Mi:\\ UKMamoNS FOR \VUmmNX l\ ItAKOMKTKK AM) TKNPKKATl 'UK. Barome- ter. BMW lion alx>ve M'llrV.-l. Coeffi- cient. Barome- ter. Eleva- tion above sea level. Coeffi- cient. Temper- ature (Fahr.). Coeffi- cient. Ira. Feet. Ins. Feet. • 30.5 -451 1.03 25.4 4,535 0.86 -24 1.17 30.2 -181 1.02 25.1 4,859 .85 17 1.15 30.0 00 1.01 24.8 5,186 .84 - 9 1.13 29.9 + 91 1.01 24.5 5,518 .83 0 1.11 29.6 3G6 1.00 24.2 5,854 .82 + 8 1.09 29.3 643 .99 23.9 6,194 .81 16 1.07 29.0 924 .98 23.6 6,538 .80 25 1.05 28.7 1,207 .97 23.3 6,887 .79 35 1.03 28.4 1,493 .96 23.0 7,239 .78 40 1.02 28.1 1,783 .95 22.7 7,597 .77 45 1.01 27.8 2,075 .M 22.4 7,960 .76 50 1.00 27.5 .93 22.1 8,327 .75 55 .99 27.2 2,670 .92 21.8 8,700 .74 60 .98 26.9 .91 21.5 9,077 .73 66 .97 26.6 3,277 .90 21.2 9,460 .72 77 .95 26.3 3,586 .89 20.9 9,848 .71 88 .93 26.0 3,899 .88 20.6 10,242 .70 100 .91 25.7 4,215 .87 20.3 10,642 .69 114 .89 25.4 4,635 .« 20.0 11,047 .68 128 .87 Any true refraction either In zenith or polar distance— tabulated refraction X coef- ficient for barometric pressure X coefficient for temperature. The differences between the true and the tabulated refractions are generally snuill nii'l K'-nerally negligible excepting for the combined effect of low apparent altitude of observation with high elevation above sea level or extremes of temperature. 41479—10 14 TABLE 22.— COEFFICIENTS FOR COMPUTING ERRORS IN AZIMUTH DUE TO SMALL EKUOKS IN DECLINATION OR LATITUDE, TABULATED FOR 1' ERRORS. Lat. 25 2 Hours from noon. 3 4 5 6 IDecl. JLat. 2.21 1.91 1.56 1.10 1.27 0.64 1.14 0.30 1.10 0.00 30 JDecl. ILat. 2.31 2.00 1.63 1.15 1.33 0.67 1.20 0.31 1.15 0.00 35 ir 2.44 2.11 1.73 1.22 1.41 0.70 1.26 0.33 1.22 0.00 40 JDecl. (Lat. 2.61 2.26 1.85 1.31 1.51 0.75 1.35 0.35 1.31 0.00 45 JDecl. {Lat. 2.83 2.45 2.00 1.41 1.63 0.82 1.46 0.38 1.41 0.00 50 JDecl. JLat. 3.11 2.69 2.20 1.56 1.80 0.90 1.61 0.42 1.56 0.00 55 JDecl. JLat. 3.49 3.02 2.47 1.74 2.01 1.01 1.80 0.47 1.74 0.00 JDecl. 4.00 2.83 2.31 2.07 2.00 60 JLat. 3.46 2.00 1.15 0.54 0.00 65 JDecl. JLat. 4.73 4.10 3.35 2.37 2.73 1.37 2.45 0.63 2.37 0.00 70 JDecl. lLat. 5.85 5.06 4.13 2.92 3.38 1.69 3.03 0.78 2.92 0.00 The coefficients for noon become infinitely large. Direction of errors in azimuth from true south: To the east in the a. m., to the west in the p. m. — Latitude set or assumed to the N. of the true latitude, noon to six hours. Latitude set or assumed to the S. of the true latitude, beyond six hours. Declination set or assumed to the S. of the true declination, all hours. To the west in the a. m., to the east in the p. m.— Latitude set or assumed to the S. of the true latitude, noon to six hours. Latitude set or assumed to the N. of the true latitude, beyond six hours. Declination set or assumed to the N. of the true declination, all hours. The error is considered as the erroneous fixation of the south point. 210 TAIH.K -2:5. MKAN KKKK \( T1ONS IN IMM.AIi IHMAM K. Bar.-29.6 ins. Temp.-50° F. from noon. Latitude. 25-(X 27°3-' 2 55 3 15 3 19 3 22 3 49 3 53 3 57 Decl.- 10° (X N. Decl.= 7°30'N. Decl.-5°(XN. 0 0 If. 0 18 0 21 0 18 0 21 0 24 0 21 0 24 0 27 2 0 19 0 22 0 25 (i •_'.' 0 25 0 28 0 25 0 28 0 31 3 0 25 0 28 0 32 0 28 0 31 0 35 0 31 0 34 0 38 4 0 37 0 42 0 47 0 41 0 51 0 46 0 51 0 56 5 1 10 1 17 1 24 1 17 1 25 1 33 1 25 1 33 1 42 Decl.-2°3(XN. Decl.- (PCX. Decl.-2°3(X8. 0 0 24 0 27 0 30 0 27 0 30 0 33 0 30 0 33 0 37 2 0 28 0 31 0 34 0 31 0 34 0 38 0 34 0 38 0 42 3 0 34 0 38 0 42 o :;s 0 42 0 47 0 41 0 46 0 51 4 0 50 0 55 1 1 n r,.-, 1 0 1 6 0 59 1 5 1 12 5 1 33 1 43 1 53 1 42 1 53 2 5 1 52 2 5 2 20 Decl.- 5* (X 8. Ped.=7°30'S. Decl.- 10° PS. 0 0 33 0 37 0 40 o :',: 0 40 0 44 0 40 0 44 0 48 2 o 18 0 42 0 47 0 42 0 46 0 51 0 46 0 50 0 55 3 ii -i.-, 0 50 n ;,., 0 49 0 55 1 1 0 53 1 0 1 7 4 1 4 1 11 1 19 1 10 1 18 1 27 1 17 1 20 1 :».; 5 2 5 2 23 2 41 •1 20 •2 43 3 6 2 39 3 5 3 36 Decl.- 12° 3 It. I 3 57 4 0 4 4 4 6 4 7 4 8 4 8 4 10 4 11 Declination of the sun, 10° V N. 0 0 21 0 24 0 27 0 30 0 33 0 37 0 40 0 44 0 48 2 0 25 0 28 0 35 0 38 0 42 0 47 0 51 0 56 3 0 32 ii ;r, 0 39 0 44 0 49 0 53 0 57 1 2 1 7 4 0 47 0 51 0 50 1 1 1 7 1 12 1 18 1 23 1 29 5 1 -M 1 31 1 38 1 45 1 51 1 57 2 4 2 11 2 19 5H 2 14 2 22 2 30 2 38 2 45 2 52 2 59 3 6 3 13 6 4 50 4 54 4 58 5 1 5 3 5 5 5 6 5 8 5 9 Declination of the sun, 7° 30* N. 0 0 24 0 27 0 30 0 33 0 37 0 40 0 44 0 48 0 53 2 0 28 0 31 i) :;-, 0 38 0 42 0 46 0 51 0 56 3 0 35 0 39 0 43 0 48 0 53 0 58 1 2 1 8 1 13 4 0 51 0 56 1 1 1 7 1 13 1 19 1 25 1 32 1 38 5 1 33 1 40 1 48 1 56 2 4 2 12 2 20 2 29 2 38 5H 2 31 2 41 2 52 3 2 3 11 3 20 3 29 3 39 3 48 Declination of the sun, 5° (X N. 0 0 27 0 30 0 33 0 37 0 40 0 44 0 48 0 53 0 58 2 0 31 0 34 0 38 0 42 0 47 0 51 0 56 1 1 1 6 3 0 38 0 43 • I is 0 53 0 58 1 3 1 8 1 14 1 20 4 0 56 1 1 1 7 1 13 1 19 1 26 1 :L; 1 41 1 49 5 1 IJ 1 51 2 0 2 10 2 20 2 30 2 40 2 51 3 2 «H 2 53 3 5 3 18 3 31 3 44 3 57 4 10 4 23 4 35 Declination of the sun, 2° 3ff N. 0 0 30 0 33 0 37 0 40 0 44 0 48 0 53 0 58 1 3 2 0 34 0 38 (1 4-2 0 51 0 5ii 1 1 1 6 1 12 3 0 42 n »: 0 52 ii H 1 3 1 9 i n 1 '.'I 1 28 4 1 1 1 7 1 It 1 20 1 27 1 35 1 43 1 52 2 1 5 1 53 2 3 2 14 2 39 2 52 3 5 3 19 3 33 5H 3 21 3 37 3 53 4 11 4 29 4 49 5 9 5 28 213 TABLE 23.— MEAN REFRACTIONS IN POLAR DISTANCE. Bar.=29.6 ins. Temp.=r,r><>° F. Hours Latitude. from noon. 30" 0' 32° 30' 35° 0' 37° 30' 40° 0' 42° 30' 45° 0' 47° 30' 50° 0' Declination of the sun, 0° 0'. / // / // / // / a / n i n / n ; // , ,, 0 0 33 0 37 0 40 0 44 0 48 0 53 0 58 1 3 1 9 2 0 38 0 42 0 47 0 51 0 56 1 1 1 7 1 12 1 18 3 0 47 0 52 0 57 1 3 1 9 1 15 1 21 1 28 1 36 4 1 6 ! 13 1 21 1 28 1 36 1 45 1 54 2 4 2 16 4^ 1 20 1 35 1 44 1 54 2 4 2 16 2 29 2 42 2 55 5 2 5 2 18 2 32 2 47 3 2 3 19 3 37 3 56 4 15 Declination of the sun, 2° 30' S. 0 0 37 0 40 0 44 0 48 0 53 0 58 1 3 1 9 1 15 2 0 42 0 46 0 51 0 56 1 1 1 7 1 13 1 20 1 27 3 0 51 0 57 1 2 1 8 1 15 1 22 1 29 1 37 1 46 4 1 12 1 20 1 28 1 37 1 46 1 57 2 8 2 20 2 34 4^ 1 34 1 45 1 56 2 8 2 21 2 34 2 50 3 7 3 25 5 2 20 2 36 2 54 3 13 3 32 3 55 4 20 4 47 5 16 Declination of the sun, 5° 0' S. 0 0 40 0 44 0 48 0 53 0 58 1 3 1 9 1 15 1 22 2 0 47 0 51 0 56 1 1 1 7 1 13 1 20 1 28 1 36 3 0 66 1 2 1 8 1 14 1 21 1 29 1 38 1 48 1 59 4 1 19 1 28 1 37 1 47 1 58 2 11 2 25 2 40 2 57 4H 1 44 1 57 2 10 2 24 2 40 2 57 3 17 3 40 4 6 5 2 41 2 59 3 22 3 47 4 15 4 46 5 21 6 2 6 52 Declination of the sun, 7° 30' S. 0 0 44 0 48 0 53 0 58 1 3 1 9 1 15 1 22 1 30 2 0 51 0 55 1 1 1 6 1 13 1 20 1 28 1 37 1 46 3 1 1 1 8 1 15 1 22 1 30 1 38 1 48 2 0 2 14 4 1 27 1 37 1 47 1 59 2 12 •_> •_>* 2 45 3 4 3 27 4^ 1 56 2 11 2 27 2 44 3 4 3 27 3 53 4 26 5 4 5 3 6 3 30 3 59 4 34 5 13 5 57 6 45 Declination of the sun, 10° 0' S. 0 0 48 0 53 0 58 1 3 1 9 1 15 1 22 1 30 1 40 2 0 55 1 0 1 6 1 12 1 19 1 27 1 36 1 46 1 58 3 1 7 1 14 1 22 1 30 1 39 1 49 2 1 2 15 2 31 4 l :{•; 1 47 1 69 2 13 2 3D 2 49 3 10 3 36 4 7 4^ 2 11 2 28 2 47 3 10 3 36 4 8 4 44 5 30 6 28 214 IM.I ' •_•:{. MK\\ KKHUCTIONS IN' POLAR DISTANCE. Bar. -29.6 ins. Temp. - 50° F. llonr^ from noon. Latitude. SOV 32°30/ 35*0' 37°30' ^"(X 42°30' 45°0/ 47°30' 500(y Declination of the sun, 12° 30'S. 0 0 53 0 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 1 0 1 6 1 13 1 20 1 27 1 36 1 46 1 57 2 11 3 1 U 1 21 1 30 1 39 1 50 2 1 2 16 2 33 2 52 4 1 -Id 1 59 2 14 2 31 2 52 3 16 3 43 4 19 5 4 4H 2 28 2 49 3 13 3 44 4 20 5 5 6 0 Declination of the sun, 15° 0' S. 0 0 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 1 6 1 12 1 20 1 28 1 36 1 46 1 58 2 10 2 26 3 1 20 1 28 1 38 1 49 2 2 2 16 2 34 2 54 3 20 1 34 1 45 1 57 2 12 2 29 2 48 3 12 3 42 4 21 1 57 2 14 2 33 2 55 3 20 3 .V.' 4 30 5 18 6 32 •»', 2 47 3 15 3 47 4 29 5 20 6 28 Declination of the sun, 17° 30' S. 0 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 1 12 1 19 1 28 1 37 1 46 1 58 2 12 2 26 2 48 3 1 28 1 37 1 48 2 1 2 17 2 35 2 57 :< •-'-> 4 0 3H 1 43 1 57 2 12 2 29 2 50 3 15 3 47 4 28 5 24 4 2 11 2 31 2 55 3 23 3 57 4 42 5 40 6 56 Declination of the sun, 20° 0' S. 0 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 37 2 1 18 1 27 1 36 1 46 1 58 2 12 2 29 2 47 3 17 3 1 37 1 47 2 0 •_' 1'i 2 35 •2 :>s 3 26 4 0 4 54 3H 1 "»4 2 10 2 29 2 50 3 17 3 51 4 36 5 30 7 7 4 2 28 2 52 3 21 3 56 4 47 5 58 Declination of the sun, 22° 30* S. I 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 37 3 1 2 1 26 1 35 1 45 1 57 2 12 2 29 2 49 3 13 3 53 2H 1 34 1 45 1 57 2 11 2 28 2 49 3 16 3 50 4 32 3 1 46 1 59 2 15 2 34 2 57 3 26 4 4 4 56 6 10 m 2 7 2 25 2 48 3 18 3 51 4 38 5 43 2 48 3 19 3 57 4 46 5 56 Declination of the sun, 23° 27' S. 0 1 18 1 25 1 34 1 44 1 55 2 9 2 25 2 46 3 12 2 1 Ji 1 • 1 50 2 3 2 18 2 37 3 0 3 28 4 10 2H i H 1 49 •_• :< •_' is 2 37 3 1 3 31 4 11 5 9 3 1 50 2 6 2 23 2 44 3 9 3 43 4 27 5 25 7 1 3^ 2 15 2 33 _' :,x 3 32 4 12 5 4 6 25 4 2 58 3 32 4 17 5 14 6 45 215 TABLE 23.— MEAN REFACTIONS IN POLAR DISTANCE. Bar.=29.6 ins. Temp. = 50° F. Hours from noon. Latitude. 50° 0" 52° 30' 55° 0' 57° 30' GO0 0' 62° 30' 65° 0' 67° 30' 70° 0' Declination of the sun, 23° 27' N. 0 0 29 0 32 0 35 0 39 0 42 0 46 0 51 0 56 1 1 2 0 34 0 37 0 41 0 44 0 48 0 52 0 57 1 1 1 6 3 0 41 0 44 0 48 0 52 0 56 1 0 1 5 1 9 1 14 4 0 56 0 59 1 2 1 5 1 9 1 13 1 18 1 22 1 26 5 1 20 1 23 1 26 1 29 1 32 1 35 1 38 1 41 1 44 6 2 12 2 12 2 12 2 12 2 12 2 12 2 12 2 12 2 12 Declination of the sun, 22° 30' N. 0 0 30 0 33 0 37 0 40 0 44 0 48 0 53 0 58 3 2 0 35 0 38 0 42 0 45 0 49 0 53 0 58 1 3 8 3 0 43 0 46 0 50 0 54 0 58 1 2 1 7 1 11 16 4 0 58 1 1 1 4 1 7 1 11 1 15 1 20 1 24 29 5 1 23 1 26 1 29 1 32 1 35 1 38 1 42 1 45 48 6 2 18 2 18 2 18 2 18 2 18 2 18 2 18 2 18 2 18 Declination of the sun, 20° 0' N. 0 0 33 0 37 0 40 0 44 0 48 0 53 0 58 1 3 1 9 2 0 38 0 42 0 46 0 50 0 54 0 58 1 3 1 9 1 15 3 0 48 0 51 0 55 0 59 1 3 1 8 1 13 1 18 1 24 4 1 2 1 6 1 10 1 14 1 18 1 22 1 27 1 32 1 38 5 1 31 1 34 1 38 1 41 1 45 1 49 1 53 1 57 2 1 6 2 36 2 36 2 36 2 36 2 36 2 36 2 36 2 37 2 37 Declination of the sun, 17° 30' N. 0 0 37 0 40 0 44 0 48 0 53 0 58 1 3 1 9 1 15 2 0 42 0 46 0 50 0 54 0 59 1 4 1 9 1 15 1 22 3 0 52 0 56 1 0 1 4 1 9 1 14 1 20 1 26 1 33 4 1 7 1 12 1 17 1 21 1 26 1 31 1 36 1 42 1 49 5 1 40 1 44 1 48 1 52 1 57 2 2 2 7 2 11 2 15 6 2 59 2 59 2 59 2 59 2 59 2 59 2 59 3 0 3 0 Declination of the sun, 15° 0' N. 0 0 40 0 44 0 48 0 53 0 58 1 3 1 9 1 15 1 22 2 0 47 0 51 0 55 1 0 1 5 1 JO 1 16 1 23 1 30 3 0 57 1 1 1 6 1 10 1 15 1 21 1 28 1 35 1 43 4 1 14 1 19 1 24 1 29 1 35 1 41 1 47 1 54 2 1 5 1 51 1 56 2 1 2 6 2 12 2 17 2 23 2 28 2 34 6 3 30 3 30 3 30 3 30 3 30 3 30 3 30 3 31 3 31 218 TVIU.K J.5. Ml \N III.ru VI I IONS IN POLAR DISTANCE. Bar.-29.6ins. Temp. =50° F. Hours from noon. Latitude. 50" (X 52*30' 55° (X 57" 30* 00° V 02° 30' 05° V 67° 3ff 70' 0' Declination of the sun, 12° 30* N. 0 0 44 0 }S 0 53 0 58 1 3 1 9 1 15 1 22 1 30 2 0 51 0 5t> 1 1 1 6 1 11 1 17 1 23 1 30 1 39 3 1 2 1 7 1 U 1 17 1 22 1 29 1 37 1 45 1 54 4 1 21 i •_•; 1 32 1 :;N 1 45 1 52 1 59 -' 7 2 1C. 5 2 4 2 10 •2 ic> 2 22 2 29 2 35 2 49 2 57 6 4 11 4 12 4 12 4 12 4 12 4 12 4 13 4 13 4 13 Declination of the sun, 10° (X N. 0 0 48 0 53 0 58 1 3 1 9 1 i:, 1 22 1 30 1 40 2 0 56 1 1 1 7 1 12 1 18 1 IT, 1 32 1 41 1 50 3 1 7 1 12 1 18 1 LM 1 31 1 39 1 47 1 50 2 6 4 1 29 1 35 1 ;.' 1 49 1 57 2 5 _' n 2 24 2 34 5 2 19 2 26 2 34 •2 4'2 2 50 2 58 3 7 3 Hi 3 2«i 6 5 9 5 9 5 10 5 10 5 10 5 11 5 11 5 12 5 12 Declination of the sim, 7° 30* N. 0 0 53 0 53 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 1 1 1 7 1 12 1 19 1 20 1 34 1 42 1 52 2 3 3 1 13 1 19 1 25 1 33 1 11 1 50 1 59 2 9 2 21 4 1 38 1 45 1 53 •_' .' 2 11 2 21 2 32 2 44 2 57 5 2 38 2 47 2 57 3 7 3 17 3 28 3 40 3 53 4 6 Declination of the sun, 5° (X N. 0 0 58 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 1 6 1 12 1 18 1 2ii 1 35 1 44 1 53 2 4 2 18 3 1 20 1 27 1 34 1 43 1 52 2 2 _' 11 2 27 2 40 4 1 49 1 57 2 5 2 ir, 2 28 2 41 2 55 3 10 3 27 5 3 2 3 14 3 26 3 39 3 53 4 8 4 24 4 42 5 1 Declination of the sun, 2° SO' N. 0 1 3 1 9 1 15 1 22 1 30 1 40 1 50 2 3 2 18 2 1 12 1 19 1 25 1 34 1 H 1 55 2 6 _, _,,, 2 37 3 1 28 1 35 1 44 i :,i 2 5 2 IS •-' IN 3 5 4 2 1 2 12 2 21 2 49 3 6 3 44 ^ ^ 5 3 33 3 50 4 6 4 25 1 4:. 5 7 5 32 6 0 G 31 Declination of the sun, 0° 0'. 0 1 9 1 1:1 1 22 1 30 1 40 1 50 2 3 2 18 2 37 2 1 Is 1 26 I :u i ».; i :.» _, gj 2 38 3 1 3 1 36 i r. 1 55 2 7 2 20 2 35 •2 n 3 39 4 2 1., 2 29 2 43 _' ft :{ 1.. 3 36 4 0 » JN 5 3 5 4 15 4 38 5 2 :. -"» 5 59 6 33 7 13 7 59 8 53 217 TABLE "^.-TRIGONOMETRIC FORMULAS FOR THE SOLUTION OF PLANE TRIANGLES. = DF / Letvt = angle BA <7 = arc B F, and let the radius A F= AB = AH= 1. We then have // K G sin ,4 cos A tanA cot A = HO sec A = A D cosec A *= AQ versin^ = CF = covers A = BK = exsec ^ = J?Z> coexsec A = J5G chord A = jB F chord 2 ^ = BI Fiol. 11. o == c sin .4 = 6 tan A 12. 6 = c cos ^ = c cot A In the right-angled triangle -A B C Let ,4 B = c, .4 C" = b, and BC = o. We then have: 1. sin 4 = -!i = cos B 2. cos A - - = 3. tan A = = cot B 4. cot A = — - 5. secX = cosec I? 6. cosec A = — = sec B 7. vers A •** •=» covers B 8. exsec A =• — coexsec B J. covers A =• -• =* versin B c = sin A cos A 14. o = c cos B = 6 cot B 15. 6 = c sin B = a tan B 1G' c =5oTF='sTO- 17. o = !8- b = V~(c+o)(c-a) 19. c = 20. C^W^A+B 21. area =06 218 TVHI.K -11. -TKIUONOHKTRIC FOKMl I \S FOR THE SOLUTION OF TKIANUI.KS. SOLUTION OF OBLIQUE TRIANGLES. B FlO. 2. FORMULA. A,B,a A,a,b C,a,b C,b,c B,C,c C*-18Q°-(A+B), . sin jB, WA-B) A,B area-Habsin C. ,b,e A,B,C,a area •rai v*(«-o)(«-6)(«-c) 219 TABLE 25.-TRIGONOMETRIC FORMULAS FOR THE SOLUTION OF STADIA MEASUREMENTS, OBSERVATIONS FOR TIME, LATITUDE AND AZI- MUTH, AND PROBLEMS IN CONVERGENCE NOTATION. "THE EPHEMER1S." "Ephemeris of the Sun and Polaris, and Tables of Azimuths of Polaris," pre- pared under the direction of the Commissioner of the General Land Office. "T>£": The symbol for approximation. "v." Observed vertical angle; in altitude observations on the sun, the reductions to the sun'scenter both vertically and horizontally, as well as instrumental errors, are elimi- nated by taking direct and reversed observations on the opposite limbs of the sun, and the mean observed vertical angle to the sun'scenter is to be considered "it" in the notation. In single observations the vertical reduction to the sun's center= 16'; a refinement is had by referring to the Ephemeris for the value of the sun's semidiam- eter for the date of observation. "ft." True vertical angle to the sun's center, or to Polaris, in altitude observations, after correction for refraction: ft = v— refraction in zenith distance; a refinement is had in altitude observations on the sun by adding the value of the sun's parallax = 8".9 cos v, opposite in effect to refraction. "C." Zeta: True zenith distance of the sun'scenter. Phi: Latitude of the station of observation. "A." Lambda: Longitude of the station of observation. "d." Delta: Declination of the sun or Polaris; to be taken from the Ephemeris for the date of observation; the declination of the sun is to be corrected in hourly difference to the longitude of the station and to the time of observation: north declinations are treated as positive and south declinations as negative; a northerly hourly motion Is treated as positive and a southerly hourly motion is treated as negative; in the use of the solar attachment the declination of the sun is to becorrected for refraction in polar distance, always north. "A." Azimuth angle from the true meridian to Polaris, or to the sun's center; in the following analytical solutions "A" is referred to the north point unless otherwise modified, and the reductions are symmetrical either east or west of the meridian; all determinations for azimuth imply the recording of horizontal angles from a fixed reference point to Polaris or to the sun, or a point marked on the ground to define the direction of observation, the mean horizontal angle, or the mean point in direc- tion, being used in the determination; in single observations on the sun, the reduc- tion to the sun'scenter in azimuth -jj{j^'> a refinement in thevalueof the sun's semi- diameter Is had by referring to the Ephemeris for the date of observation. !< FUNCTIONS. Sines Cosines 160' Tangents and Cotangents 0' 280 FlO. 3. STADIA MEASUREMENTS. Hor. dis.: The true horizontal distance from the center of the instrument to the rod. Diff. elev.: The true vertical distance from the height of the instrument to the center point between the two targets of the rod. "r": Vertical rod reading. "K": The wire interval or ratio, to be determined in the field by frequent tests under working conditions in comparison with steel tape measurement, solving the formula given below for " K," hor. dis. known. "c": Distance from the center of the instrument to the object glass. ••/": Distance from the plane of the cross-wires to the object glass. Hor. dis. = K r cos* v + (c + f\ cos v. Diff. elev. = K r } sin 2 0 + (e + /) sin r. In public land surveying it Is convenient to have fixed stadia wires with a ratio of 1:132 so that the sum of two rod readings in feet will be equivalent to a ratio of 1:66, or a reduced distance in chains; it Ls also convenient to reduce the error in the wire interval to the error in 10 chs., and to eliminate the error by applying to the reduced distance the proper amount taken from the table of proportional parts. With a ratio of 1:100, using a rod graduated to links, tin- diminution of the error in the wire inter- val is conveniently made in the same manner. Wit ha ratio of 1:100, using a rod grad- uated to feet, the reduction is simplified by determining the logarithm of the true ! in feet and horizontal distance in chains units, accomplishing the reduction of K rcos»c by logarithmic functions. TIME. Conrtrsion of standard time into local mean time.— Watch reading ± watch error in standard time by comparison ± correction for longitude; the correction for 1. • is additive east and subtractive west of the standard meridian of the time belt; the conversion table "degrees to time" Is Convenient in this reduction. Conversion of apparent time into local mean time.— Apparent time of observation ± the equation of time; the equation of time is to be taken from the Ephemeris for the date of observation and corrected for the longitude and time of observation, conven- iently interpolated as the interval from <;nvn\vi«-h noon to the time of observation; 221 thi> watch error in local mean lime is then found by taking the difference between the watch reading at the epoch of the observation and the reduced local mean time of observation. Local mean time of upper culmination of Polaris. — The Greenwich mean time of upper culmination of Polaris is to be taken from the Ephemeris for the date of obser- vation; the amount to be subtracted from the Greenwich mean time of upper culmina- tion of Polaris to obtain the local mean time of upper culmination of Polaris, in which the argument is the longitude west from Greenwich, is obtained from the table of sidereal conversions without computation. Local mean time of elongation of Polaris.— The mean time of elongation of Polaris, Greenwich meridian, latitude 40°, is to be taken from the Ephemeris for the date of observation; the amount to be subtracted from the mean time of elongation of Polaris, Greenwich meridian, latitude 40°, to obtain the mean time of elongation of Polaris, local meridian, latitude 40°, in which the argument is the longitude west from Green- wich, is obtained from the table of sidereal conversions without computation. The amount to apply to the local mean time of elongation of Polaris latitude 40° to obtain the local mean time of elongation of Polaris latitude of observation is tabulated in the Ephemeris in connection with the table of azimuths of Polaris at elongation. Conversion of a mean time interval into a sidereal time interval, or vice versa. — fhe amount to apply to one time interval to obtain the other time interval is obtained from the table of sidereal conversions without computation. Hour angles of Polaris.— A mean time hour angle of Polaris west of the meridian is the mean time interval from the local mean time of upper culmination of Polaris to the local mean time of observation of Polaris; a mean time hour angle of Polaris east of the meridian is the mean time interval from the local mean time of observation of Polaris to the local mean time of upper culmination of Polaris. Mean time hour angle of Polaris at elongation.— " t "= the sidereal hour angle in an- gular measure, this converted into time measure, and this in turn converted from a sidereal time interval into a mean time interval gives the mean time hour angle of Polaris at elongation: Cos<=cotan Altitude observation of the sun for apparent time.—" t "=hour angle from apparent noon in angular measure; reverse the signs of "d" for south declinations: Tan 1 t-*m (C+<*~3) Si" * <*- - Meridian observation of the sun for apparent noon.— With the telescope in the merid- ian elevated to the sun's alii tude. tho watch times of transit of the sun's west and east limbs are noted, the mean of which is the watch time of apparent noon; if the obser- vation fails for either limb the reduction to the sun's center is accomplished by adding or subtracting OK seconds; a refinement in the amount of this time is had by referring to the Ephemeris for the time of the sun's semidiameter passing the meridian for the date of observation; the setting for the approximate altitude of the sun's center is: LATITUDE. Meridian altitude observation of the sun for latitude.— Reverse the sign of "*" for south declinations: This observation is conveniently combined with the meridian observation of the sun for time, observing simultaneously the sun's lower and west limbs, recording the watch time and the vertical angle and reversing in tho interval of about 2} min- 222 utes, and observing simultaneously the sun's upper and east limbs; the settings for the approximate altitudes of the sun's lower and upj>er limli.s, n-.sj^-tivcly, are: Altitude observation of Polaris at upper culmination for latitude.— Altitude observation of Polaris at lower culmination for latitude.— The mean timehour angle of Polaris at lower culmination is 11 hours 5H minutes 2 seconds: The settings for the approximate altitude of Polaris at upper and lower culmina- tions, respectively, are: AZIMUTH. Altitude observation of the sun for azimuth.— Reverse the signs of "d" for south declinations: . Tan H A~ycos ^ (C_^_j) sin ^ (C_ The spherical angles "C," "tf," and "J" appear in this equation combined as in the formula for the reduction of an altitude observation of the sun for apparent time, and when it is desired to reduce for both time and azimuth, the above equation for azimuth is to be preferred to any that follow. Altitude observation of the sun for azimuth.— For south declinations the function "sin i" becomes negative by virtue of the sine of a negative angle being treated as negative in analytical reductions: If the algebraic sign of the result is positive the azimuth "A" is referred to the north point, but if negative, the azimuth "A" is referred to the south point: The above equat'on is very convenient in reducing for azimuth only. Altitude observationofthesunfor azimuth.— To many surveyors the following equa- tion is familiarly expressed directly in terms of the spherical triangle" pole-zenith- sun": reverse the sign of "i" for south declinations: Tole to zenith-90°-^-colat.; Pole to sun — 90°— *— coded.; Zenith to sun -90'-*- < 8- H sum of the three sides: II S vein (S ro.lerl.) /sin 8 sin (8 -codec » Ji A-'Y sin ootet. sin omit Equal altitude observations of the tun for meridian.— The sun's center at equal alti- tudes occupies symmetrical positions In azimuth cast ami west of the meridian in the morning and in the afternoon except for the . ossary to be applied due to the change in the sun'9 declination In the Interval between the a. m. and p.m. observations: "d \3 ": Correction in azimuth in minutes of angular measure to be applied to the mean position in azimuth to obtain the tme south point; the correction is to be applied to the east with a northerly hourly change in declination, or to the west with a southerly hourly change. "d d": Change in declination of the sun from the a. m. to the p. m. observation, expressed in minutes of angular measure. "(ti+h)": The sum of tho hour angles from ap]nirent noon, or the total watdi time from the a. m. to I he p. in. ob.serval ion, ex pressed in angular measure. The symmetry of the equal altitude observation is preserved by observing opposite limbs in azimuth in the a. in. and p. m. observations, in connection with the same limb in vertical angle in both observations. With "M d d" and " '.1 (/i-Hz)" calculated, the computation can be concluded by applying to "^ dS" the declination coefficient obtained by entering the table of coefficient^ for computing errors in azimuth due to small errors in declination, argu- ments: "4>" and "J-$(«i+fc)." Azimuth of Polaris at elongation.— A table of azimuths of Polaris at elongation, for latitudes from 25° to 70° N., appears in the Ephemcris, arguments: " 3" and "<£." Azimuth of Polaris at any hour angle. — "£"=sidereal hour angle in angular measure; in hour angles exceeding 90° the function "—sin cos t" becomes positive by virtue of the cosine of an angle between 90° and 270° being treated as negative in analyti- cal reductions: ___ _ sin / cos 0 tan d— sln^ cos t A table of azimuths of Polaris at all hour angles, for latitudes from 30° to 50° N., appears in the Ephemeris, arguments: "8," mean time hour angle, and "." For other than the above latitudes the surveyor will be required to perform the above analytical solution, accomplished by the following process: convert the usual mean time hour angle into sidereal hour angle, and convert the sidereal hour angle into angular measure to obtain l-t" for the above equation. Polaris at sunset or sunrise.— Polaris is conveniently observed for azimuth by the hour angle method at sunset or sunrise without artificial illumination; the prepara- tion for the observation consists in computing in advance the approximate settings in azimuth and altitude in order to find Polaris, and the plan contemplates an approxi- mate reference meridian: with the time of sunset or sunrise assumed as the time of observation, the hour angle "t" and azimuth "A" are determined in order to find the position of Polaris in azimuth; the position in altitude is found by the following approximation, the positive sign being used for hour angles less than G hours, and the negative sign for hour angles exceeding 6 hours: CONVERGENCY OF MERIDIANS. ": Measurement along the parallel. /': Measurement along the meridian. : Equatorial radius of the earth= 3063.3 miles=80X39C3.3 chains. : Factor of eccentricity, log c- 8.915 2515. ^ ": Linear amount of the convergency on the parallel, of two meridians dis- tance apart "m^," and distance "m^" along the meridian: "d7W^,""7n>i,""77i^"and "a" to be expressed in the same unit: dm^ - -~~ tan 0 Vl-**sin*tf O 224 . ,1s0 PLEASE DO NOT REMOVE CARDS OR SLIPS FROM THIS POCKET UNIVERSITY OF TORONTO LIBRARY I S&M A 606