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- ' • Natural Trigonometrical Ratios. ~~~ I I ~ I ; N OEX for Who m S ~ J`?, D. L . C. Pq~¢. G'..8. fya~ rA~r- ..Z 1Y. f7.Gi~-h~r~i 1 / 6 - J. fiefs ~ o~ st l~imo,'-~c~es ~ Zo ,~ T. ~-r~ frsfh . ti.~sw ,J~iirV~~7m J L z J. F. N'e/jrr~ irs // ~3 ~, ~ z G F-w. n~~ ~ ~ o,~y /y s.~a J Z ~ +~/~ /1' I, e. t s / E. /3D CreA, W ~ wovq~ ~ his-/ I9 Z- Frd~/ ,E re,; sue'-zw ~, /y'',` Jolsrs Sa~ ~Q r 8 S-L yy~ /S/6 F. /y1. F' ~r ~/ s-.~yy /so .lohn J' J a c'~~ ~' s /W y'~; Js~ ~ - ---- - - rJ ~ - i I I I i ti i -- Angle. Sine. Ten. See. Coat. Cotg. Cain. Angle. Eire. Ten. Sec. Coat. Cotg. Cosin. o, o. ~ 0 0 0 1. a a 1. 80 8 .1382 .1405 1.0098 7.165 7.115 .99027 82 10 .0028 .0028 343.8 343.8 I. 50 10 .1421 .1435 1.0102 7.040 8.988 .88988 50 20 .0058 .0058 171.9 171.9 .89888 40 20 .1449 .1485 1.0107 8.900 6.827 .98844 40 30 .0087 .0087 114.8 114.8 •88886 30 30 .1478 .1495 1.0111 8.786 8.891 .98902 30 40 .0118 .0118 1.0001 85.94 85.84 .98883 20 40 .1507 .1524 1.0115 8.836 6.581 •98858 20 50 .0145 .0145 1.0001 88.76 88.75 .98988 10 50 .1538 .1654 1.0120 8.512 8.435 .98814 10 1 .0175 .0175 1.0002 57.30 57.29 .88885 89 9 .1584 .1584 1.0125 6.394 8.314 .98789 81 10 .0204 .0204 1.0002 48.11 49.10 .88979 '50 10 .1593 .1814 1.0129 6.277, 8.187 .98723 b0 20 .0233 .0233 1.0003 42.98 42.98 .88973 40 20 .1822 .1844 1.0134 6.188 8.084 .98876 40 30 .0282 .0282 1.0003 38.20 38.18 .99888 30 30 .1850 .1873 1.0139 6.059 5.876 .86829 30 40 .0$91 .0291 1.0004 34.38 34.37 .99958 20 40 .1879 .1703 1.0144 5.955 5.871 .98580 20 50 .0320 .0320 1.0005 31.26 31.24 .89949 10 50 .1708 .1733 1.0149 5.855 5.769 .98531 10 2 .0349 .0349 1.0008 28.85 28.84 .98939 88 10 .1738 .1763 1.0164 5.759 5.871 .98481 80 10 .0378 .0378 1.0007 28.45 26.43 .89929 50 10 .1785 .1793 1.0160 5.685 5.578 .98430 50 20 .0407 .0407 1.0008 24.58 24.54 .89917 40 20 .1794 .1823 1.0185 5.675 5.485 .98378 40 30 .0436 .0437 1.0010 22.93 22.80 .99805 30 30 .1822 .1853 1.0170 5.488 5.396 .98325 30 40 .0485 .0468 1.0011 21.48 21.47 .89892 20 40 .1851 .1883 1.0176 5.403 5.308 .98272 20 50 .0484 .0495 1.0012 20.23 20.21 .99878 10 50 .1880 .1914 1.0181 5.320 5.226 •98218 10 3 .0523 .0524 1.0014 19.11 18.08 .99863 87 11 .1908 .1944 1.0187 5.241 5.145 .98183 78 10 .0552 .0553 1.0015 18.10 18.07 .89847 50 10 .1837 .1974 1.0193 5.164 5.086 .98107 50 20 .0581 .0582 1.0017 17.20 17.17 .89831 40 20 .1985 .2004 1.0188 5.089 4.988 •98050 40 30 .0810 .0812 1.0019 16.38 18.35 .88813 30 30 .1884 .2035 1.0205 5.016 4.915 .87992 30 40 .0840 .0841 1.0020 15.84 15.60 .99795 20 40 .2022 .2085 1.0211 4.945 4.843 .87934 20 50 .0689 .0670 1.0022 14.96 14.92 .99778 10 b0 .2051 ,2095 1.0217 4.871 4.773 .97875 10 4 .0898 .0899 1.0024 14.34 14.30 .89756 88 12 .2079 .2128 1.0223 4.810 4.705 .97815 78 ~ 10 .0727 .0728 1.0027 13.76 13.73 .89736 b0 10 .2108 .2158 1.0230 4.7451 4.638 .97754 50 20 .0756 .0758 1.0028 13.23 13.20 .99714 40 20 .2138 .2166 1.0236 4.682 4.574 .97882 40 ~ 30 .0785 .0787 1.0031 12.75 12.71 .89692 30 30 .2184 .2217 1.0243 4.620 4.511 .97630 30 40 .0814 .0818 1.0033 12.29 12.25 .99668 20 40 .2193 .2247 1.0249 4.560 4.449 .87566 20 50 .0843 .0848 1.0036 11.87 11.83 .93844 10 50 .2221 .2278 1.0256 4.502 4,380 .87502 10 6 .0872 .0875 1.0038 11.47 11.43 .89619 85 13 .2250 .2309 1.0263 4.445 4.331 .97437 77 10 .0901 .0904 1.0041 11.10 11.08 .99594 50 10 .2278 .2339 1.0270 4,380 4.275 .97371 50 20 .0929 .0834 1.0043 10.78 10.71 .98567 40 20 .2308 .2370 1.0277 4.338 4.219 .97304 40 30 .0958 .0983 1.0048 10.43 10.39 .89540 30 30 .2334 .2401 1.0264` 4.284 4.185 .97237 30 40 .0987 .0892 1.0049 10.13 10.08 .88511 20 40 .2383 .2432 1.0281 4.232 4.113 .97169 20 50 .1016 .1022 1.0052 9.839 9.788 .89462 10 50 .2391 .2462 1.0298 4.182 4.061 .97100 10 B .1045 .1051 1.0055 9.587 8.514 .99452 84 14 .2419 .2493 1.0306 4.133 4.011 .97030 76 10 .1074 .1080 1.0058 9.309 8.255 .99421 50 10 .2447 .2524 1.0314 4.088 3.862 .98959 50 20 .1103 .1110 1.0061 9.065 9.010 .99390 40 20 .2476 .2555 1.0321 4.038 3.814 .86887 40 30 .1132 .1139 1.0085 8.834 8.777 .98357 30 30 .2504 .2586 1.0329 3.984 3.887 96615 30 40 .1181 .1188 1.0088 8.814 8.658 .89324 20 40 .2532 .2617 1.0337 3.948 3.821 .98742 20 50 .1180 .1198 1.0072 8.405 8.345 .98290 10 .50 .2560 .2848 1.0345 3.906 3.776 .86667 10 7 .1219 .1228 1.0075 9.206 8.144 .98255 83 15 .2588 .2879 1.0363 3.884 3.732 .98593 '75 10 .1248 .1257 1.0079 8.018 7.853 .89219 b0 10 .2616 .2711 1.0361 3.822 3.689 .96517 50 20 .]278 .1287 1.0082 7.834 7.770 .99162 40 20 .2844 .2742 1.0369 3.782 3.847 .96440 40 30 .1305 .1317 1.0088 7.861 7.586 .89144 30 30 .2672 .2779 1.0377 3.742 3.808 .96363 30 40 .1334 .1348 1.0080 7.496 7.429 .99108 20 40 .2700 .2805 1.0386 3.703 3.586 .96285 20 50 .1363 .1376 1.0094 7.337 7.260 .99087 10 50 .2728 .2838 1.0394 3.865 3.526 .98206 10 82 74 Cain. Cotg. Ceere. Sa. Ton. Sire. Angle. Cain. Cotg. Caec. ' &o. Tax. Sine. Angle.