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~ t1 For W~-~orr~ ~~: T.~- D. ~.. c.-~I Town ~ Pcrye. ' • OuCA;JII?, %~' W 7 Z h f F ~K WoodWor N/rr/ /~/ur~h,/ ' /0 7 /YI.L.SaVA ge 9f- Lcirse~, John/ 9 T-2YY S. Parker /09 ' ' Doerf/er I 7-/W. P. D.C/ira-~ /~ l ~` GOD//d9'~,/9i~ Co. 6-/VK S//Yerft~ri //3 Zak Ed~varc/ -/W T. Fitz~cra/q! //S /~lcrrfir~ C fI. Ef a/.~ -2 W Q. 2. ~/'ooks //r Kwy's Zid ~~ Ka 7: }3. y - .31Y ofi`t Brrker C/. ~~/-/s7 - ESQ. ~ ';~~ PQ-r4u-sor~~ Johis X311/ d~rn~.Sfl¢.phes /z 5 S from, ..jl, C. i9- -/~ l~os¢dcr/e f/dA/. i 2 7' L3ois2, ~' P. -.3Yy ~o Sa/err,: /29 RiCi/srrt~/I s, E: 6. /W. P. IPcyyr~l~or/~ /33 ',~; JaCkSOH,~ J. f.3. -/W C. />'cibbd~'iz~ /3S C ' W2rneL/~ ~ F 9 8-3W ~ l~osd ds~/~ Ads/. /37' ~" Sfeus/off, F W 7-3W to Sw/tNrr /39-~4-~ f/poue~l, ~Rcr/p// ~W. S: ~our~/¢crr/ /~/ ~, NOS~k, /Froirik 3/ ~/ W. /43 Dieh/, /3r. o fh¢rs 23 6- /K' ~! ~5 - ,,~ Natural Trigonometrical Ratios. Angle. Sine. Tan. Sec. Cosec . Cotg. Colin. Angle. Sine. Tan. Sec. Coaec. Coig. Colin: o. o, 0 0 0 1. a a I. 90 8 . .1392 .1405 1.0098 7.185 7.115 .99027 82 10 .0029 .0029 343.8 343.8 I. 50 10 .1421 .1435 1.0102 7:040 6.968 .98986 50 20 .0058 .0058 171.9 171.9 .99998 40 20 .1449 .1465 1.0107 6.900 6.827 .98944 40 30 .0087 .0087 114.6 114.8 .99996 30 30 .1478 .1495 1.0111 8.766 6.691 .98902 30 40 .0118 .0116 1.0001 85.94 85.94 .99993 20 40 .1507 .1524 1.0115 6.836 6.561 •98858 2(1 50 .0145 .0145 1.0001 68.76 68.75 .99969 10 50 .1536 .1554 1.0120 8.512 6.435 .98814 10 1 .0175 .0175 1.0002 57.30 57.29 .99985 89 9 .1564 .1584 1.0125 6.394 6.314 .98769 S1 10 .0204 .0204 1.0002 49.11 49.10 .99979 50 10 .1593 .1614 1.0129 8.277 6.197 .98723 50 20 .0233 .0233 1.0003 42.96 42.96 .99973 40 20 .1622 .1644 1.0134 8.188 6.084 .98676 40 30 .0262 .0262 1.0003 38.20 38.19 .99968 30 30 .1650 .1673 1.0139 6.059 5.976 .98629 30 40 .0291 .0291 1.0004 34.38 34.37 .99958 20 40 .1679 .1703 1.0144 5.955 5.871 .98580 20 50 .0320 ,0320 1.0005 31.26 31.24 .99949 10 50 .1708 .1733 1.0149 5.855 5.769 98531 10 2 .0349 .0349 1.0006 28.65 28.64 .99939 88 10 .1736 .1763 1.0154 5.759 5.671 .98481 50 10 .0376 .0378 1.0007 28.45 26.43 .99929 50 10 .1765 .1793 1.0160 5.665 5.576 .98430 ;(1 20 .0407 .0407 1.0008 24.56 24.54 .99917 40 20 .1794 .1823 1.0165 5.575 5.485 .98378 ~0 30 .0436 .0437 1.0010 22.93 22.90 .99905 30 30 .1922 .1853 1.0170 5.468 5.396 .98325 3(1 40 .0485 .0466 1.0011 21.49 21.47 .99892 20 40 .1851 .1883 1.0176 5.403 5.309 .98272 2(1 50 .0494 .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 19.08 .99863 87 11 .1908 .1944 1.0187 5.241 5.145 .98163 79 10 .0552 .0553 1.0015 18.10 16.07 .99847 50 10 .1937 .1974 1.0193 5.184 5.066 .96107 5(1 20 .0581 .0582 1.0017 17.20 17.17 .99831 40 20 .1965 .2004 1.0199 5.089 4.989 .98050 i0 30 .0610 .0612 1.0019 16.38 16.35 .99813 30 30 .1994 .2035 1.0205 5.016 4.915 .97992 a0 40 .0640 .0641 1.0020 15.84 15.60 .99795 `LO 40 .2022 .2065 1.0211 4.945 4.843 .97934 '?U 50 .0669 .0670 1.0022 14.96 14.92 .93776 10 50 .2051 .2095 1.0217 4.877 4.773 .97875 111 4 .0898 .0699 1.0024 14.34 14.30 .99756 86 12 .2079 .2126 1.0223 4.810 4.705 .97815 '73 I 10 .0727 .0729 1.0027 13.78 13.73 .99736 50 10 .2108 .2156 1.0230 4.745 4.638 .97754 iiU '~~ 20 .0758 ,0758 1.0029 13.23 13.20 .99714 .40 20 :2136 .2186 1.0236 4.682 4.574 .97692 40 30 .0785 .0787 1.0031 12.75 12.71 .99692 30 30 .2164 .2217 1.0243 4.620 4.511 .97630 30 40 .0814 .0816 1.0033 12.29 12.25 .99668 `?0 40 .2193 .2247 1.0249 4.560 4.449 .97586 20 50 .0243 .0846 1.0036 11.87 11.83 .99644 10 50 .2221 .2278 1.0256 4.502 4.390 .97502 10 5 .0872 .0875 1.0038 11.47 11.43 .93619 85 13 .'L250 .2309 1.0263 4.445 4.331 .97437 77~ 10 .0901 .0904 1.0041 11.10 11.06 .99594 50 10 .2278 .2339 1.0270 4.390 4.275 .97371 50 20 .0929 .0934 1.0043 10.76 10.71 .99567 40 2U .2308 .2370 1.0277 4.336 4.219 .97304 40 30 .0958 .0983 1.0046 10.43 10.39 .99540 30 30 .2334 .2401 1.0284 4.284 4.165 .97237 30 40 .0987 .0992 1.0049 10.13 10.08 .99511 20 40 .2363 .2432 1.0291 4.232 4.113 .97169 20 50 .1016 .1022 1.0052 9.839 9.788 .99482 10 50 .2391 .2462 1.0299 4.182 4.061 .97100 10 6 .1045 .1051 1.0055 9.567 9.514 .99452 84 14 .2419 .2493 1.0306 4.133 4.011 .97030 '76 10 .1074 .1080 1.0058 9.309 9.255 .99421 50 10 .2447 .2524 1.0314 4.086 3.962 .9695^ 50 20 .1103 .1110 1.0061 9.065 9.010 .99390 40 20 .2476 .2555 1.0321 4.039 3.914 .96887 40 30 .1132 .1139 1.0065 8.834 8.777 .99357 30 30 .2504 .2566 1.0329 3.994 3.867 .96815 30 40 .1161 .1169 1.0066 8.614 8.556 .99324 20 40 .2532 .2617 1.0337 3.949 3.821 .96742 20 50 .1190 .1198 1.0072 8.405 8.345 .90290 10 50 .2560 .2648 1.0345 3.906 3.776 .96687 10 7 :1219 .1228 1.0075 8.206 8.144 .99255 83 15 .2568 .2679 1.0353 3.664 3.732 .96593 75 10 .1248 .1257 1.0079 8.016 7.953 .99219 50 10 .2616 .2711 1.0361 3.822 3.689 .96517 50 20 .1276 .1287 1.0082 7.834 7.770 .99182 40 20 .2644 .2742 1.0369 3.782 3.647 .98440 40 30 .1305 .1317 1.0086 7.661 7.596 .99144 30 30 .2672 .2773 1.0377 3.742 3.606 .98363 30 40 .1334 .1348 1.0090 7.496 7.429 .99106 20 40 .2700 .2805 1.038fi 3.703 3.566 .96285 20 50 .1363 .1376 1.0094 7.337 7.269 .99087 10 50 .2728 .2836 1.0394 3.665 3.526 .96206 10 82 74 Caia. Cotg. Cosec. Sec. Tan. Sine. Angle. Cowin. Cotg. Cosec. Sec. Tan. Sine. Angle.