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11 -,TABLE 'IV - Tangents and Externals to a:10, Carve 1, <br />Angle I <br />Tangent <br />I External <br />d Angle <br />dddd <br />Tangent <br />Evtornal <br />Angle <br />� <br />Tangent I External <br />10 <br />a0 00 ^ <br />r _ 22-, <br />110 <br />551 70 <br />26 a0 <br />210 <br />1081 9 97 5, <br />10 <br />58 34 <br />30 <br />10 <br />'660 11 <br />27 31 <br />10' <br />1010 8 99 18 <br />20 <br />66 67 <br />1 39 <br />20 <br />568 03 <br />28 14 <br />20 <br />10 9 2 100 75 <br />30 <br />76 01 <br />49 <br />30 <br />, 676 95 <br />28 97 <br />30 <br />1081 8 102 35 <br />40 <br />83 34 <br />61 <br />40 <br />58� 36 <br />20 82 <br />40 <br />1096 4 103 97 <br />50 <br />91 G8 <br />i 73 <br />50 <br />593 10 <br />30 68 <br />50 <br />,{1103 1 105 60 <br />2 <br />100 01 <br />187 <br />12 <br />602 21 <br />31 56 <br />22 <br />111317 107 24 <br />10 <br />108 35 <br />1 02 <br />'10 <br />-610 64 <br />32 4,) <br />10 <br />1122 4 108 90 <br />20 <br />116 83 <br />1 1 19 <br />120 <br />619 07 <br />34 3o <br />20 <br />1131 0 110 5, <br />30 ` <br />'123 02 <br />I 1 90 <br />30 <br />" 627 50 <br />34 26 <br />90 <br />-1130 7 112 25 <br />`40- <br />-133 38- <br />- I o5-40- <br />1670 0 <br />'03o 93 <br />-35 18 <br />40 ' <br />1149 4 113 90 <br />00 <br />141 70 <br />1 75 <br />L 50 <br />,SG44 3, <br />36 12 <br />50 <br />11 7 0 116 66 <br />Z_- <br />150 04' <br />1 06� <br />13-,-652 <br />81 <br />" 37 07 <br />23 <br />116,3 7- 117 88 <br />10 <br />158 38 <br />2 19 ' <br />10 <br />661'20 <br />38 03 <br />10 <br />114 4 119 12 <br />120 <br />166 72 <br />1 2 43 <br />20 <br />669 10 <br />39 01 <br />1 20 <br />1183 1 120 8, <br />30 <br />175 06 <br />2 87 <br />- 30 <br />678 1" <br />39 09 <br />30 <br />1191 8 122 63 <br />40 <br />183 40 <br />1 2 93 <br />40 <br />686 60 <br />40 99 <br />40 <br />1200 5 ,124 41 <br />50 <br />191 741 <br />3 21+ <br />50 <br />695 06 <br />42 00 <br />50 <br />1209 2 126 20 <br />4 ^ <br />200 08 <br />3 49 <br />- <br />703 of <br />43 09 <br />44 <br />1217 9 128 00 <br />10 <br />209 43 <br />1 3 ,91( <br />X14 <br />X10 ' <br />711`97 <br />' 44 07 <br />10 <br />1226 6 129 82 <br />20 <br />"216 77- <br />--4-10 <br />120 -'x"720'44' <br />17-3t 7 <br />-45 12- <br />- 20 <br />1235 3 131 05 <br />30 <br />3225 12 <br />, 4 42 <br />V) <br />,`28 90 <br />4G 18 <br />30 <br />12440 133 60 <br />40 <br />294 471 <br />4 ,G <br />�10 <br />737 37 <br />47 25 <br />40 <br />1262 8 135 35 <br />150 <br />241 81_ <br />5 10 <br />00 <br />_,45 85 <br />48 34 <br />50 <br />1261 5 137 23 <br />5 <br />'250 16" <br />1 5 48 <br />15 , <br />754 12 <br />49 44 <br />25 <br />1270 2 139 11 <br />- 10 <br />'2a8 51 <br />3 5 83�° <br />7_ '10 <br />782 80 <br />50 55 <br />1 10 <br />1270 0 141 01 <br />20 <br />2GG 8G <br />tl 6 21 <br />20 <br />771 29 <br />a1 GS <br />20 <br />1287 , 142 93 <br />- 30 <br />270 21 <br />116 G11 <br />10 <br />779 77 <br />52 89 <br />30 <br />1296 6 144 85 <br />40 <br />283 57, <br />'7 01 <br />140 <br />F 788 26 <br />63 97 <br />40 <br />1300 3 146 79 <br />50 <br />11291 92f <br />I i 43' <br />" '50- <br />796 75 <br />ao 19 <br />60 <br />1314 0 148 75 <br />479 6 <br />1 <br />1 <br />39 7 <br />30 <br />Ib34 1 <br />Ti <br />30 <br />6_ ,, <br />,800 28 <br />7 86, <br />16 <br />805 25 <br />66 31 <br />261 1 <br />1322 8 150_71 <br />' 10„ <br />309 G4; <br />, 8 31 <br />'10 <br />818 75 <br />57 50 <br />10 <br />1331 6 la2 69 <br />20 <br />110 99 <br />' 8 iG1 <br />20- <br />822 25 <br />59 70 <br />120 <br />1140 4 154 69 <br />_ <br />30 <br />132, 3o <br />9 23J <br />i0 <br />890 ,6 <br />50 91 <br />130 <br />I349 2 156 70 <br />'- 40 <br />1333 71 <br />']/9 711 <br />''" <br />639 27 <br />61 14 <br />40 <br />1308 0 lab 72 <br />50 <br />342 08 <br />=r10 20 <br />50 <br />847 78 <br />62 38 <br />50 <br />1366 8 160 76 <br />7 j u <br />ASO 44 <br />t 10 71 <br />17 <br />BDG 30 <br />G9 G3 <br />27 <br />1370 6 162 81 <br />10 <br />308 81, <br />11 22 <br />10 <br />8G4 92 <br />64 90 <br />10 <br />1984 4 - 164 86 <br />1 20 <br />367,171t <br />11 76 <br />:_ 20 <br />873 3a <br />66 18 , <br />20 <br />1393 2 1b6 95 <br />30 - <br />t 37, �4 <br />12 29 <br />30- <br />'861 88 <br />67 47 <br />30 <br />14020 ]b9 04 <br />40` <br />383 911 <br />12 85 <br />40- <br />890 41 <br />63 77 <br />40 <br />1410 9 L1 15 <br />60,', <br />392 28 <br />13 41 <br />00 <br />899 90 <br />70 09 <br />50 <br />1419 7 173 27 <br />S <br />400 66 <br />1 13 99 <br />18 , <br />007 49 <br />.71 42 <br />2s <br />1128 6 175 41 <br />10 <br />409 03- <br />14 58 <br />1 10 <br />916 03 <br />72 76 <br />10 <br />1437 4 1 177 55 <br />20 <br />417 41 <br />to 181 <br />' 20 <br />024 58 <br />74 12 <br />20 <br />1446 3 1,9 72 <br />90 <br />425 ,0 <br />15 801 <br />90 <br />933 13 <br />75 49 <br />30 <br />1455 1 181 89 <br />140 <br />434 17 <br />16 43 <br />40 <br />-941 69 <br />76 66 <br />40 <br />1464 0 184 08 <br />50 <br />442 531 <br />17`0, <br />50 <br />900 26 <br />78 20 <br />00 <br />1472 9 186 29 <br />,9 <br />1450 93 <br />17 72� <br />19 <br />938 81 <br />79 G7 <br />29 <br />1481 8 , 188 51 <br />10 <br />4.,9 32 <br />18 38 <br />10 <br />r 967 39 <br />181 09 <br />_ 10 <br />1490 , IQO 74 <br />20 <br />467 71 <br />19 0� <br />20 <br />c 07a 9G <br />82 53 <br />20 <br />1499 6 102 99 <br />30 <br />476 10 <br />19 ,a <br />1 30 <br />984 53 <br />83 97 <br />90 , <br />1508 3 190 25 <br />40 <br />484 49 <br />20 4a <br />40 <br />993 12 <br />Sa 43 <br />40 <br />1 1517 4 19, 51 <br />50 ,' <br />,492 83 <br />21 16 <br />_ 60 <br />1001 7 <br />86 90 <br />too <br />1526 3 199 82 <br />10- <br />501 23 <br />21 89 <br />, <br />20 <br />1010 3 <br />88 30 <br />30 <br />1535 3 202 12 <br />_10 <br />x509 63 <br />22 621 <br />19 <br />1019 9' <br />80 80 <br />10 <br />1.44 2 204 44 <br />s 20 ` <br />518 08 <br />23 39 <br />20 <br />1027 a <br />91 40 <br />20 <br />1.53 1 206 77 <br />30 <br />1 526 48 <br />24 14 <br />30 <br />1036 1 <br />92 92 <br />30 <br />h61 1 209 12 <br />t 40 <br />534 89 <br />21 91 , <br />40 <br />-, 041 7 <br />% 46 <br />40 <br />1171 0 211 49 <br />50 <br />x43 29 I <br />20 70 <br />00 <br />1033 3 <br />OG 01 <br />a0 <br />1580 0 213 96 <br />TABLE) 1V - Tangents and Externals to a 11 Curve <br />Angla I <br />Tangen I <br />Erternal <br />Angle I <br />tangent <br />Eztemal If <br />H <br />Angle <br />Tangent I <br />Frternnl <br />310 <br />1589 0 <br />-216 3 <br />410 <br />2142 2 <br />387 4 <br />510 12732 <br />9 <br />618 4s <br />10' <br />1598 0 <br />218 7 <br />10 <br />2141 7 <br />990 7 <br />10 <br />2-43 1 <br />622 8 <br />20 <br />]BOB 9 <br />221 1 <br />20 <br />2161 2 <br />894 1 <br />20 <br />27,53 4 <br />627 2 <br />30 <br />1615 9 <br />223 5 <br />30 <br />21,0 8 <br />897 4 <br />,30 <br />27,63 7 <br />691 7 <br />40 <br />IG24 9 <br />226 0 <br />40 <br />2180 3 <br />400 8 <br />40 <br />2773 9 <br />636 2 <br />50 <br />Ib33 9 <br />2.18 4 <br />1 50 <br />2189 9 <br />404 2 <br />60 <br />2784 2 <br />640 7 <br />32 <br />1643 0 <br />290 9 <br />42 1 1 <br />2199 4 <br />407'6 <br />52 <br />2793 0 <br />1 646 2 <br />10 <br />18)2 0 <br />233 4 <br />1 10' <br />2209 0 <br />411 t <br />1 10 <br />2504 9 <br />, G49 7 <br />2u <br />1661 0 <br />233 0 <br />20 <br />2318 6 <br />414 0 <br />20 <br />2810 2 <br />6,4 3 <br />30 <br />1670 0 <br />239 4 <br />30 <br />2228 1 <br />419 0 <br />30 <br />2925 6 <br />6a8 8 <br />40 <br />1079 1 <br />211 0 <br />F 40 <br />2237 7 <br />421 4 <br />40 <br />283o 9 <br />663 4 <br />A <br />1638 1 <br />243 5 <br />1 50 <br />2247 3 <br />423 0 <br />, t50 <br />2846 3 <br />609 0 <br />33 <br />1697 2 <br />248 1 > <br />43 <br />22x7 0 <br />429 a <br />5 3 <br />28x6 7 <br />67217) <br />10 <br />1706 3 <br />249 7 <br />10 <br />2266 G <br />432 0 <br />10 <br />29G7 1 <br />677 3 <br />20 <br />1715 3 <br />2x1 3 <br />20 <br />2276 2 <br />495 G <br />20 <br />2877 5 <br />682 0 <br />30 <br />1724 4 <br />209 9 <br />30 <br />2083 9 <br />439 2 <br />30 <br />2888 0 <br />696 7 <br />40 <br />1733 , <br />2ab 5 <br />1 40 <br />2291) 6 <br />' 442 8 <br />40 <br />2898 4 <br />691 4 <br />00 <br />1,42 6 <br />20 1 <br />501 <br />, 2300 2 <br />441, 4 <br />00 <br />2908 9 <br />Gob 1 <br />34 <br />17-3t 7 <br />261 8 <br />44 , <br />1 2314 9 <br />450 0 <br />54 1 <br />2919 4 <br />700 9 <br />10 <br />1760 3 <br />264 5 <br />10 <br />2324 6 <br />4-)9 6 <br />10 <br />2939 9 <br />700 1 <br />20 <br />1170 0 <br />261 2 <br />20 <br />2334 3 <br />457 3 <br />1 20 <br />2940 4 <br />710 5 <br />30 <br />1779 1 <br />269 9 <br />30 <br />2344 1 <br />461 0 <br />30 <br />2901 0 <br />71', 3 <br />40 <br />1788 2 <br />272 G <br />40 <br />-1103 8 <br />464 6 <br />40 <br />1 2461 5 <br />720 1 <br />60 <br />1797 4 <br />270 3 <br />50 <br />2363 a <br />468 4 <br />10 <br />2972 1 <br />723 0 <br />35 <br />1606 6 <br />278 1 <br />45 <br />1 238 3 <br />472 1 <br />51 <br />2982 7 <br />729 0t <br />10 <br />1615 , <br />280 8 <br />10 <br />2383 1 <br />475 8 <br />10 <br />2093 3 <br />734 8 <br />20 <br />1924 9 <br />283 6 <br />20 <br />2302 8 <br />479 6 <br />20 <br />3003 9 <br />39 7 <br />30 <br />Ib34 1 <br />261, 4 <br />30 <br />2402 6 <br />483 8 <br />30 <br />3014 9 <br />"14 6 <br />40 <br />1843 3 <br />289 2 <br />401 <br />2412 4 <br />487 2 <br />40 <br />302., 2 <br />749 G <br />60 <br />1852 5 <br />292 0 <br />001 <br />2422 3 <br />491 0 <br />60 <br />303o 8 <br />,a4 G <br />36, <br />1961 , <br />294 9 <br />40 1 <br />2432 1 <br />494 8 <br />66 <br />3016 5 <br />59 G-, <br />10 <br />1970 0 <br />29, 7 <br />10 <br />2441 9 <br />498 7 <br />10 <br />3Oa7 2 ---,04 <br />G <br />20 <br />Ia90 1 <br />300 6 <br />20 <br />24,1 8 <br />502 5 <br />1 20 <br />3067 9 <br />769 7 <br />t0 <br />1399 4 <br />303 5 <br />90 <br />2461 " <br />506 4 <br />30 <br />3078 7 <br />„4• , <br />40 <br />189S G <br />306 4 <br />40 <br />2471 5 <br />610 3 <br />40 <br />8080 4 <br />779 8 <br />50 <br />1907 9 <br />1 309 3 <br />50 <br />2481 4 <br />514 3 <br />50 <br />3100 2 <br />781 9 <br />37 <br />1917 1 <br />912 2 <br />47 <br />2491 3 <br />518 2 <br />57 <br />3110 9 <br />790 1 <br />10 <br />19_6 4 <br />313 2 <br />10 <br />2401 2 <br />522 2 <br />10 <br />3121 7 <br />795 2 <br />"0 <br />1935 , <br />318 1 <br />20 <br />2011 2 <br />526 1 <br />20 <br />3132 6 <br />800 4 <br />30 <br />1945 0 <br />921 1 <br />30 <br />2,21 1 <br />630 1 <br />30 <br />3143 4 <br />605 6 <br />40 <br />1934 3 <br />334 140 <br />2,11 1 <br />534 2 <br />40 <br />3154 2 <br />810 9 <br />,0 <br />1963 6 <br />32, 1 <br />50 <br />2011 0 <br />538 2 <br />501 <br />3105 1 <br />816 1 <br />38 <br />1072 9 <br />330 2 <br />48 <br />2�al 0 <br />542 9', <br />58 <br />3176 0 <br />, 821 4 <br />10 <br />19S2 2 <br />333 2 <br />10 <br />2"'1 0 <br />540 3 <br />10 <br />3186 9 <br />826 7 <br />20 <br />1991 ', <br />396 3 <br />20 <br />2x,1 0 <br />550 1 <br />20 <br />3197 8 <br />832 0 <br />d0 <br />1000 9 <br />339 3 <br />30 <br />2331 0 <br />554 0 <br />30 <br />3208 8 <br />8.37 3 <br />40 <br />2010 2 <br />34' 4 <br />1 401 <br />:01 0 <br />558 6 <br />40 <br />9219 7 <br />842 , <br />40 <br />2019 G <br />940 5 <br />50, <br />2601 1 <br />t 562 8 <br />50 <br />3230 7 <br />` 848 1 <br />39 <br />2029 0 <br />348 G <br />49 <br />2611 25GG <br />9 <br />59 <br />324t 7 <br />1853 5 <br />110 <br />2038 4 <br />1x1 8 <br />10 <br />2611 2 <br />171 1 <br />10 <br />32x3 i <br />4 859 9 <br />20 <br />3047 8 <br />3x4 0 <br />^ 20 <br />2631 3 <br />1 57a 3 <br />20 <br />3263 7 <br />864 3 <br />30 <br />2107 2 <br />3aS 1 <br />90 <br />2641 4 <br />579 0 <br />301 <br />12-4 6 <br />1869 8 <br />40 <br />'OG(, G <br />101 3 <br />. 140 <br />26QI 5 <br />583 8 <br />40 <br />32S5 8 <br />875 3 <br />50 <br />20-6 0 <br />384 6 <br />( .0 <br />2661 6 <br />588 0 <br />00 <br />3200'9 <br />890 b <br />4 <br />40 <br />20S5 4 <br />36, 7 <br />50 - <br />20,118, <br />592 3 <br />60 1 <br />330810 <br />1 BW 4- <br />10 <br />9094 9 <br />371 0 <br />10 <br />2681 9 <br />5136 6 <br />10 <br />3319 1 <br />892 0 <br />20 <br />1104 3 <br />374 2 <br />20 <br />2690 1 <br />600 9 <br />20 <br />3330 3 <br />897 5 <br />90 <br />2113 6 <br />1-, 5 <br />30 <br />2 0' 3 <br />805 3 <br />10, <br />3341 4 <br />903 2 <br />40 <br />0123 3 <br />33J 8 <br />40 <br />2 12 ) <br />1 609 P <br />40 <br />3352 6 <br />909 9 <br />50 <br />2132 7 <br />334 1 <br />1 <br />-,0 <br />2 22 7 <br />I 614 0 <br />00 <br />9363"8 <br />914 o <br />-'I <br />