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l jTABLE `IV — Tangents and Externals to a 10 Curve <br />Anelo I <br />tangent Czternal <br />1 Angle <br />Tangent <br />External <br />I Angle <br />Tangent <br />Extornal <br />10 <br />50 00 <br />22 <br />216 3 <br />oat 70 <br />26 00 <br />210 <br />IOG1 9 <br />97 17 <br />10' <br />3S 34 <br />30 <br />1110 <br />10 <br />060 11 <br />27 31 <br />I <br />10 <br />1070 6 <br />99 16 <br />20 <br />66 67 <br />30 <br />20 <br />-,GS 53 <br />24 14 <br />20 <br />1079 2 <br />100 75 <br />30 <br />75 01 <br />49 <br />30 <br />576 95 <br />28 97 <br />30 <br />1037 8 <br />102 35 <br />40 <br />83 34 <br />81 <br />40 <br />580 36 <br />20 62 <br />40 <br />1096 4 <br />103 97 <br />50 <br />91 69 <br />73 <br />50 <br />593 79 <br />30 68 <br />60 <br />1101 1 <br />100 60 <br />2 <br />100 01 <br />87 <br />12 <br />602 21 <br />31 56 <br />22 <br />1113 7 <br />107 24 <br />10 <br />108 90 <br />1 02 <br />10 <br />610 64 <br />92 45 <br />10 <br />1101 4 <br />108 00 <br />20 <br />116 68 <br />' 1 19 <br />20 <br />619 07 <br />33 3a <br />20 <br />1131 0 <br />110 5, <br />' 30 <br />125 02 <br />1 96 <br />90 <br />637 o0 <br />34 26 <br />30 <br />1199 7 <br />112 21 <br />40 <br />"193 36' <br />1 35 <br />40 <br />630 93 <br />35 18 <br />40 <br />1143 4 <br />113 90 <br />50 <br />141 70 <br />1 7o <br />50 <br />044 97 <br />36 12 <br />50 <br />115, 0 <br />115 GG <br />3 ' <br />100 04 <br />1 96 <br />13 <br />052 81 <br />4; 07 <br />2'3 <br />1160 7 <br />117 38 <br />10 <br />108 38 <br />2 19 <br />10 <br />661 26 <br />38 03 <br />10 <br />1174 4 <br />119 12 <br />20 <br />166 72 <br />'2 43 <br />20 <br />669 70 <br />39 01 <br />20 <br />1181 1 <br />120 87 <br />30 <br />175 06 <br />2 67 <br />30 <br />678 15 <br />99 99 <br />90 <br />1191 8 <br />122 63 <br />40, <br />183 40 <br />2 93 <br />1 40 <br />G8G 60 <br />40 99 <br />40 <br />1200 5 <br />124 41 <br />50 <br />191 74 <br />3 21 <br />00 <br />695 06 <br />42 00 <br />50 <br />1209 2 <br />126 20 <br />4 <br />200 08 <br />3 49 <br />14 <br />709 51 <br />43 03 <br />241217 <br />9 <br />128 00 <br />10 <br />208 43 <br />3 79 <br />10 <br />711 97 <br />44 07 <br />10 <br />1226 6 <br />129 82 <br />20 <br />—216 77, <br />4 10 <br />20 <br />720 44 <br />45 12 <br />20 <br />1235 3 <br />131 61 <br />30 <br />234 12 <br />4 42 <br />30 <br />728 90 <br />16 18 <br />d0 <br />1244 0 <br />133 00 <br />40 <br />233 47 <br />4 7G <br />40 <br />737 37 <br />47 20 <br />40 <br />1232 8 <br />135 3n <br />60 <br />241 81 <br />6 10 <br />_ 50 <br />_ 445 85 <br />48 34 <br />50 <br />1261 5 <br />137 23 <br />5 <br />250 16 <br />5 4G <br />15 <br />764 32 <br />40 44 <br />251270 <br />2 <br />149 11 <br />10 <br />208 51 <br />5 83 <br />10 <br />762 30 <br />00 35 <br />10 <br />1279 0 <br />141 01 <br />20 <br />266 86 <br />G 21 <br />20 <br />771 29 <br />of 68 <br />20 <br />1297 7 <br />142 93 <br />30 <br />276 21 <br />6 G1 <br />30 <br />779 77 <br />62 89 <br />30 <br />1296 5 <br />144 8o <br />40 <br />283 57' <br />7 01 <br />40 <br />788 26 <br />53 97 <br />40 <br />1300 3 <br />146 79 <br />60 <br />291 92 <br />7 43 <br />50 <br />796 73 <br />55 13 <br />60 <br />1314 0 <br />148 75 <br />O <br />300 23 <br />7 SG <br />16 <br />805 25 <br />50 31 <br />20 <br />1322 8 <br />150 71 <br />10 <br />309 64 <br />6 31 <br />10 <br />813 75 <br />57 50 <br />10 <br />1331 G <br />152 69 <br />20 <br />116 09 <br />8 76 <br />20 <br />822 25 <br />58 70 <br />20 <br />1940 4 <br />154 69 <br />90 <br />321 30 <br />9 23 <br />90 <br />$30 76 <br />59 91 <br />30 <br />1349 2 <br />156 10 <br />40 <br />333 71 <br />9 71 <br />40 <br />QU 27 <br />61 14 <br />40 <br />1359 0 <br />153 71_ <br />00 <br />342 03 <br />10 20 <br />50 <br />847 78 <br />62 39 <br />50 <br />1366 8 <br />100 7G <br />7 <br />350 44 <br />10 71 <br />17 <br />856 90 <br />63 63 <br />27 <br />1375 6 <br />162 81 <br />10 <br />338 61 <br />11 22 <br />10 <br />864 82 <br />64 00 <br />10 <br />1384 4 <br />164 86 <br />20 <br />967 17 <br />it 76 <br />,20 <br />873 35 <br />GG 18 <br />20 <br />1393 2 <br />166 95 <br />30 <br />3-3 54 <br />12 29 <br />30 <br />891 69 <br />G7 47 <br />30 <br />1402 0 <br />169 04 <br />40 <br />383 91 <br />12 85 <br />40 <br />890 41 <br />68 77 <br />40 <br />1410 9 <br />171 15 <br />50 <br />392 28 <br />13 41 <br />50 <br />808 95 <br />70 09 <br />00 <br />1419 7 <br />173 27 <br />810 9 <br />50 <br />1963 6 <br />327 1 <br />50 <br />2541 0 <br />638 2 <br />50 <br />3165 1 <br />8 <br />400 66 <br />13 99 <br />18 <br />907 49 <br />71 42 <br />28 <br />1429 6 <br />175 41 <br />10 <br />409 03 <br />14 58 <br />10 <br />916 03 <br />72 76 <br />10 <br />1437 4 <br />177 60 <br />20 <br />417 41 <br />10 13 <br />20 <br />924 08 <br />74 12 <br />20 <br />144G 3 <br />179 72 <br />30 <br />425 79 <br />la 80 <br />30 <br />933 13 <br />70 49 <br />90 <br />1451 1 <br />981 S9 <br />t0 <br />434 17 <br />16 43 <br />40 <br />941 G9 <br />76 8b <br />40 <br />1464 0 <br />184 08 <br />50 <br />442 55 <br />17 07 <br />50 <br />910 23 <br />78 26 <br />60 <br />1472 9 <br />186 29 <br />9 <br />450 93 <br />17 72 <br />19 <br />958 81 <br />79 67 <br />29 <br />1481 8 <br />188 51 <br />10 <br />459 32 <br />18 98 <br />10 <br />967 38 <br />81 09 <br />10 <br />1490 7 <br />190 74 <br />20 <br />407 71 <br />19 06 <br />20 <br />9,3 96 <br />82 53 <br />20 <br />1199 0 <br />192 99 <br />30 <br />476 10 <br />19 70 <br />30 <br />984 13 <br />89 97 <br />30 <br />1508 5 <br />195 20 <br />40 <br />414 49 <br />20 45 <br />40 <br />993 12 <br />b5 43 <br />40 <br />1517 4 <br />197 53 <br />50 <br />492 S3 <br />2L 16 <br />50 <br />1001 7 <br />66 9050 <br />588 0 <br />1526 3 <br />199 82 <br />10 <br />501 29 <br />21 89 <br />20 <br />1010 3 <br />68 39 <br />30 <br />153,) 3 <br />202 12 <br />10 <br />509 68 <br />22 62 <br />10 <br />1018 9 <br />89 89 <br />10 <br />1x44 2 <br />204 44 <br />20 <br />618 08 <br />29 99 <br />20 <br />1027 5 <br />01 40 <br />20 <br />1533 1 <br />206 7, <br />30 <br />52G 48 <br />24 14 <br />30 <br />1036 1 <br />92 92 <br />90 <br />1562 1 <br />209 12 <br />40 <br />534 89 <br />24 91 <br />40 <br />1044 7 <br />94 46 <br />40 <br />1571 0 <br />211 48 <br />50 <br />643 29, <br />20 70 <br />I <br />00 <br />1003 3 <br />9G 01 <br />30 <br />1580 0 <br />213 86 <br />TABLE 1V—'rangentS and Extcrnals to a 10 Carle <br />Angle ( <br />Tangent I <br />Eztcrnal <br />Angle <br />Tangent <br />External <br />Anglo <br />Tangent <br />asternal <br />310 <br />1589 0 <br />216 3 <br />410 <br />2142 2 <br />987 1 <br />510 <br />27,32 9 <br />618 4 <br />10' <br />1598 0 <br />218 ' <br />10' <br />2151 7 <br />d90 7 <br />10 <br />2743 1 <br />I <br />622 8 <br />20 <br />1606 9 <br />221 1 <br />20 <br />21b1 2 <br />394 1 <br />20 <br />27,59 4 <br />627 2 <br />30 <br />1610 9 <br />224 5 <br />1 30 <br />2170 8 <br />397 4 <br />90 <br />263 7 <br />631 7 <br />40 <br />1624 9 <br />22b 0 <br />1 40 <br />2160 9 <br />400 8 <br />40 <br />27,3 9 <br />636 2 <br />50 <br />1643 9 <br />228 4 <br />,50 <br />21S9 9 <br />404 2 <br />60 <br />2784 2 <br />840 7 <br />32 <br />1643 0 <br />230 9 <br />42 <br />2199 4 <br />407 6 <br />52 <br />2794 5 <br />645 2 <br />10 <br />1602 0 <br />233 4 <br />10 <br />2209 0 <br />411 1 <br />10 <br />2904 9 <br />649 7 <br />20 <br />16G1 0 <br />230 9 <br />20 <br />2218 6 <br />414 5 <br />20 <br />2810 2 <br />G54 3 <br />30 <br />1670 0 <br />238 4 <br />30 <br />2223 1 <br />418 0 <br />30 <br />2S20 6 <br />059 8 <br />40 <br />1b79 1 <br />241 0 <br />40 <br />223, 7 <br />421 4 <br />40 <br />2S31 9 <br />4663 4 <br />60 <br />1854 1 <br />243 5 <br />60 <br />2247 3 <br />420 0 <br />50 <br />2346 3 <br />668 0 <br />33 <br />1697 2 <br />246 1 <br />43 <br />2257 0 <br />428 5 <br />63 <br />23x8 , <br />672 7 <br />10 <br />1706 3 <br />248 7 <br />1 10 <br />2266 6 <br />432 0 <br />10 <br />236, 1 <br />677 3 <br />20 <br />1711 9 <br />231 3 <br />20 <br />2276 2 <br />430 6 <br />20 <br />297, 5 <br />682 0 <br />30 <br />1724 4 <br />203 9 <br />30 <br />2285 9 <br />439 2 <br />30 <br />2858 0 <br />6Sb 7 <br />40 <br />1M 0 <br />236 5 <br />40 <br />'295 6 <br />442 8 <br />40 <br />2598 4 <br />691 4 <br />60 <br />1,42 G <br />209 1 <br />50 <br />2305 2 <br />446 4 <br />50 <br />2908 9 <br />696 1 <br />34 <br />1751 7 <br />2G1 8 <br />44 1 <br />2314 9 <br />450 0 <br />54 <br />2919 4 <br />700 9 <br />10 <br />1760 8 <br />264 5 <br />10 <br />2324 G <br />403 6 <br />10 <br />2929 9 <br />705 7 <br />20 <br />1-70 0 <br />287 2 <br />20 <br />2994 3 <br />457 3 <br />20 <br />2940 4 <br />710 5 <br />io <br />1779 1 <br />269 9 <br />1 90 <br />2,144 1 <br />461 0 <br />90 <br />29,)l 0 <br />715 3 <br />40 <br />1788 2 <br />272 G <br />40 <br />2353 8 <br />464 6 <br />40 <br />2961 5 <br />720 1 <br />50 <br />1797 4 <br />275 3 <br />10 <br />2963 1 <br />468 4 <br />00 <br />2972 1 <br />725 0 <br />35 <br />180G G <br />278 1 <br />45 <br />2373 3 <br />472 1 <br />15 <br />2932 7 <br />729 9 <br />10 <br />1815 7 <br />280 8 <br />10 <br />2989 1 <br />475 9 <br />10 <br />2999 9 <br />734 8 <br />20 <br />1824 0 <br />2S3 6 <br />20 <br />2392 8 <br />479 6 <br />20 <br />3003 9 <br />739 7 <br />30 <br />1834 1 <br />2SG 4 <br />30 <br />2402 6 <br />493 8 <br />30 <br />3014 0 <br />744 6 <br />40 <br />1843 3 <br />289 2 <br />40 <br />2412 4 <br />1487 2 <br />40 <br />3020 2 <br />'49 6 <br />00 <br />1812 6 <br />292 0 <br />50 <br />2422 3 <br />491 0 <br />50 <br />3031 8 <br />754 6 <br />1 <br />36 <br />1861 7 <br />294 9 <br />46 <br />2492 1 <br />494 9 <br />5 6 <br />3046 5 <br />769 6 <br />10 <br />1S"0 9 <br />297 7 <br />10 <br />2441 9 <br />498 7 <br />, 10 <br />301 2 <br />764 6 <br />20 <br />1640 1 <br />300 6 <br />20 <br />2451 8 <br />502 3 <br />20 <br />306, 9 <br />769 7 <br />30 <br />1889 4 <br />309 5 <br />30 <br />2461 , <br />506 4 <br />30 <br />3078 7 <br />774 7 <br />40 <br />1898 6 <br />306 4 <br />' 40 <br />2471 5 <br />510 3 <br />40 <br />3059 4 <br />,79 8 <br />50 <br />1907 9 <br />309 3 <br />00 <br />3461 4 <br />514 3 <br />50 <br />3100 2 <br />994 9 <br />37 <br />1917 1 <br />312 2 <br />47 <br />2491 3 <br />018 2 <br />57 <br />3110 9 <br />790 1 <br />10 <br />192G 4 <br />315 2 <br />10 <br />2501 2 <br />o22 2 <br />10 <br />3121 7 <br />795 2 <br />20 <br />1931 7 <br />318 ] <br />20 <br />2311 2 <br />o2b 1 <br />20 <br />3132 6 <br />800 4 <br />30 <br />1940 0 <br />321 1 <br />30 <br />2121 1 <br />530 1 <br />30 <br />3143 4 <br />805 6 <br />_ 40 <br />1904 3 <br />324 1 <br />40 <br />2031 1 <br />594 2 <br />40 <br />3104 2 <br />810 9 <br />50 <br />1963 6 <br />327 1 <br />50 <br />2541 0 <br />638 2 <br />50 <br />3165 1 <br />816 1 <br />38 <br />1972 9 <br />330 2 <br />48 <br />2551 0 <br />542 2 <br />58 <br />3176 0 <br />821 4 <br />10 <br />1982 2 <br />833 2 <br />10 <br />2061 0 <br />146 d <br />10 <br />3186 9 <br />828 7 <br />20 <br />1991 5 <br />336 3 <br />20 <br />2171 0 <br />oo0 4 <br />20 <br />3197 8 <br />S32 0 <br />30 <br />2000 9 <br />339 3 <br />30 <br />2oS1 0 <br />004 0 <br />90 <br />3205 8 <br />897 3 <br />40 <br />2010 2 <br />312 4 <br />40 <br />2091 0 <br />158 6 <br />40 <br />3219 7 <br />842 7 <br />60 <br />2019 6 <br />345 6 <br />00 <br />2601 1 <br />562 8 <br />50 <br />8230 7 <br />848 1 <br />39 <br />2029 0 <br />348 6 <br />49 <br />2611 2 <br />566 0 <br />59 <br />8241 7 <br />853 5 <br />10 <br />2035 4 <br />301 6 <br />10 <br />2621 2 <br />571 1 <br />10 <br />3202 7 <br />618 9 <br />20 <br />2017 8 <br />334 9 <br />20 <br />2631 3 <br />575 3 <br />20 <br />3263 7 <br />864 3 <br />30 <br />2037 2 <br />358 1 <br />30 <br />2641 4 <br />079 0 <br />30 <br />3274 8 <br />669 6 <br />40 <br />2066 6 <br />361 3 <br />40 <br />2651 a <br />183 8 <br />40 <br />3280 8 <br />6,5 3 <br />50 <br />2016 0 <br />3G4 5 <br />10 <br />2661 6 <br />588 0 <br />50 <br />3296 9 <br />680 8 <br />40 <br />2055 4 <br />367 7 <br />50 <br />2671 8 <br />092 3 <br />60 <br />3308 0 <br />886 4 <br />10 <br />2094 9 <br />371 0 <br />10 <br />2681 9 <br />09G 6 <br />10 <br />9319'1 <br />892 0 <br />20 <br />2104 3 <br />374 2 <br />20 <br />2692 1 <br />600 9 <br />20 <br />33303 <br />897 5 <br />30 <br />2113 8 <br />377, 5 <br />30 <br />2,02 31 <br />I <br />a <br />30 <br />3341 4 <br />903 2 <br />40 <br />2123 3 <br />380 8 <br />10 <br />2712 o <br />609 a <br />40 <br />3352 6 <br />908 S <br />50 <br />2132 7 <br />384 1 <br />a0 <br />boo <br />2722 7 1 <br />614 0 <br />50 <br />3,363 8 <br />814 5 <br />