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I <br />TABLE N — Tangents) and Externals to a 10'Curve <br />Angle I tangent `Fxternal Angla1 V rangent- External <br />I r I <br />Angle I Tanga I <br />I <br />Bxlemal <br />' 10" <br />DO 00 <br />22 <br />Ile <br />DDI 70 <br />26 DO <br />210 <br />1061 9 <br />97 67 <br />10 <br />o8 94 <br />30 <br />10 <br />560 11 <br />27 31 <br />1 10 <br />1070 6 <br />99 16 <br />20 <br />66 6',,39 <br />390 7 <br />20 <br />DO a9 <br />28 14 <br />20 <br />1079 2 � <br />100 75 <br />30 <br />-5 01 <br />49 <br />30 <br />6;6 95 <br />28 07 <br />30 <br />1097 8 <br />102 36 <br />40 <br />83 34 <br />61 <br />40 <br />585 36 <br />29 82 <br />40 <br />1096 4 <br />103 97 <br />50 <br />91 G8 <br />1, <br />78 <br />60 <br />093 79 <br />30 68 <br />50 <br />1100 1 <br />105 60 <br />50 <br />100 Ol <br />87 <br />12 <br />602 21_ <br />31 56 <br />- 1 <br />22' <br />11113 7' <br />107 24 <br />10 <br />108 3D <br />1 02 <br />10 <br />610 64 <br />32 45 <br />10 <br />'1122 4 <br />108 90 <br />20 <br />116 68 <br />{ 1 19 <br />20 <br />619 07 <br />33 35 <br />20 <br />1131 0 <br />110 67 <br />80 <br />125 02 <br />1 UP <br />30 ` <br />627 50 <br />34 26 <br />30 <br />1199 7 <br />112 25 <br />40 " <br />-131 36 <br />1 1 <br />40 ' <br />b 3 93 <br />35 18 <br />40 <br />1148 4 <br />—113 95 <br />50 <br />141 70 <br />"1 7o <br />, 50 <br />,rb44 37 <br />_36 12 <br />, 50 1 <br />1157 0 <br />116 66 <br />—a-- <br />- 150 04 <br />1 96— <br />"13 " <br />'652 61 <br />37 07 <br />291 <br />1185'7 <br />117 38 <br />10 <br />158 38 <br />2 19 <br />10 <br />661 25 <br />38 0.3 <br />x10 <br />1174 4 <br />119 12 <br />20 <br />166 72 <br />2 43 <br />, <br />20 <br />609 70 <br />39 01 <br />201 <br />1189 1 <br />120 87 <br />30 <br />170 06 <br />2 67- <br />-30 <br />678 16 <br />39 09 <br />30 — <br />1191 8 <br />122 BS <br />40 <br />181 40 <br />293 <br />40 <br />636 60 <br />_ 40 99 <br />40 <br />1200 5124 <br />41 <br />D9 <br />191 74 <br />3 21 <br />50 <br />6Q5 06 <br />42 00 <br />t <br />50 <br />1_209 2, <br />120 20 <br />S <br />200 08 <br />8 49{ <br />l4 <br />x03 51 <br />49 09 <br />24 <br />1217 9 <br />128 00 <br />t0 <br />209 43 <br />8 ,9 <br />1 <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 />-20 44` <br />'45 12 <br />- ' 20 <br />1235`3 <br />131 65 <br />V 10 <br />220 12 <br />14 42 <br />30 <br />28 90` <br />46 18 <br />30 <br />1244 0 <br />133 50 <br />407 <br />293 47 <br />4 "8 <br />40 <br />r 737 37 <br />47 20 <br />40 <br />12o2 8 <br />135 35 <br />'DO <br />241 81_ <br />5 10 <br />_ DO <br />-15'85 <br />48 34 <br />50 <br />1261 5 <br />137 23 <br />5 ',I- <br />2DO 16 <br />5 461` <br />15 <br />54 82 <br />-49 44 <br />25 <br />1270 4 <br />139 11 <br />10 <br />218 611 <br />-0 93 <br />10 <br />62 60 <br />150 55 <br />10 <br />1279 0 <br />"'O120 <br />20 1 <br />2GG 86 <br />6 211 <br />20 <br />71 29 <br />31 68 <br />20 <br />1287 7 <br />1142 93 <br />30 <br />2,D 21 ' <br />6 bl <br />s 30 <br />,79 77 <br />112 89 <br />30 <br />1296 6 <br />144 35 <br />- 40 <br />289 57 <br />r Oil <br />40 <br />788 2653 <br />97 <br />40 <br />130a 3 <br />146 79 <br />00 <br />291 92 <br />43 <br />DO <br />796 70 <br />D5 13 <br />50 <br />1314 0 <br />148 76 <br />8 <br />900 28 <br />361 <br />16 <br />805 25 <br />156 91 j <br />26i1 <br />1933 8 <br />160 71 <br />10 <br />309 64 <br />8 411 <br />10 <br />t 813 75 <br />57. 50 <br />110 <br />1331 6 <br />la2 69 <br />l0 <br />316 99 <br />8 76, <br />20 <br />922 25 <br />59 70 <br />20 <br />1340 4 <br />154 69 <br />30 <br />321 d5 <br />, 9 23 <br />30 <br />830 76 <br />69 91 <br />I 301 <br />1449 2 <br />166 70 <br />401 <br />333 71^ <br />9 71 <br />40 <br />339 27 <br />61 14 <br />40 <br />1858 0 <br />158 72 <br />DO <br />.342 03 <br />10 20 <br />50 <br />347 78 <br />62 98 <br />60 <br />1366 8 <br />100 78 <br />7- <br />930 44 <br />1 <br />10 71 <br />17 , <br />856 30 <br />63 G3 <br />27 <br />1375 6 <br />162 61 <br />10 <br />319 81 <br />11 22 <br />10 <br />9(,4 82 <br />64 90 <br />10 <br />1384 4 <br />164 86 <br />20 <br />167 17 <br />1 <br />r IL 7a <br />20 <br />8 3 35 <br />66 18 <br />20 <br />1993 2 <br />166 95 <br />30 <br />1 o 64 <br />12 29 <br />30 <br />881 68 <br />67 47 <br />1 90, <br />140`2 0 <br />169 04 <br />40 <br />343 91 <br />12 801 <br />40 <br />690 41 <br />68 77 1 <br />40 <br />1410 9 <br />171 15 <br />50 <br />192 28 <br />13 41 <br />50 <br />894 90 <br />70 09 <br />50 <br />1419 7 <br />173 27 <br />8 1 <br />1 <br />400 GO <br />13 99 <br />18 <br />907 49 <br />71 42 <br />28 <br />1428 0 <br />175 41 <br />10 <br />409 03 <br />14 o8 <br />10 <br />916 03 <br />72 78 <br />10 <br />1497 4 <br />177 55 <br />20 <br />417 41 <br />15 18 <br />20 <br />9 4 58 <br />74 12 <br />20 <br />1446 3 <br />179 72 <br />- 30 <br />42a 79 <br />13 80 <br />30 <br />933 13 <br />75 49 <br />30 <br />145a l <br />lei 89 <br />40 <br />414 17 <br />16 43 <br />40 <br />941 69 <br />76 86 <br />40 <br />1464 0 <br />Ib4 08 <br />60 <br />442 55 <br />17 07 <br />DO <br />9o0 25 <br />78 28 <br />50 <br />1472 9 <br />186 29 <br />9 <br />4D0 93 <br />17 72 <br />19903 <br />81 <br />79 87 <br />29 <br />1481 8 <br />188 51 <br />10 <br />439 32 <br />I9 98 <br />IO <br />i 1-67 38 <br />8] 09 <br />10 <br />1490 7 <br />190 74 <br />20 <br />4a, 71- <br />19 06 <br />20 <br />1-73 96 <br />92 53 <br />20 <br />1499 6 <br />192 99 <br />90 <br />416 10 <br />19 75 1 <br />30 <br />OSt 53 <br />83 97 <br />30 <br />I 0 6 <br />195 25 <br />40 <br />484 49 <br />20 45 <br />40 <br />993 12 <br />85 43 <br />40 <br />ID17 4 <br />1,97 53 <br />50 <br />,492 89 <br />21 to <br />101101 <br />7 <br />86 90 <br />50 <br />1326 3 <br />199 82 <br />10 <br />501 28 <br />31 89 <br />20 <br />1010 3 <br />88 39 <br />30 <br />153-) 3 <br />202 12 <br />10 <br />,09 68 <br />22 62 <br />10 <br />1018 9 <br />89 89 <br />10 <br />In I4 2 <br />204 44 <br />20 <br />a18 08 <br />23 3S <br />20 <br />102i 5 <br />91 40 <br />-10 <br />1053 1 <br />206 ;7 <br />30 <br />126 48 <br />24 14 <br />30 <br />1036 1 <br />92 92 <br />30 <br />1562 1 <br />209 12 <br />40 <br />534 80 <br />24 91 <br />40 <br />7 <br />94 46 <br />40 <br />1371 0 <br />1 211 48 <br />50 <br />543 29 <br />25 70 <br />I <br />00 <br />11041 <br />1053 S <br />96 Ol <br />50 <br />1580 0 <br />I 213 66 <br />TASLL IV — Tangents and Externals to a 10 Curve <br />Angle <br />I Tangent <br />I External <br />I Angle <br />1 Tangent <br />I Ecternal <br />I Ingle <br />I Tangent <br />I Exterrml <br />310 <br />1599 0 <br />216 3 <br />410 <br />2142 2 <br />387 4 <br />510 <br />27,32 9 <br />618 4 <br />10 <br />1598 0 <br />213 7 <br />10 <br />21ol 7 <br />390 7 <br />10 <br />2743 1 <br />623 8 <br />20 <br />1606 9 <br />221 1 <br />20 <br />2161 2 <br />994 I <br />20 <br />2753 4 <br />627 2 <br />30 <br />1G15 9 <br />223 5 <br />30 <br />2170 8 <br />39, 4 <br />30 <br />2733 7 <br />G31 7 <br />40 <br />1624 9 <br />226 0 <br />40 <br />21SO 3 <br />400 8 <br />40 <br />2773 9 <br />636 2 <br />50 <br />1633 9 <br />223 4 <br />50 <br />2189 9 <br />404 2 <br />50 <br />2784 2 <br />640 7 <br />321 <br />1043 0 <br />290 9 <br />42 <br />2199 4 <br />407 6 <br />52 <br />2794 5 <br />641 2 <br />10 <br />160_' 0 <br />233 4 <br />10 <br />2209 0 <br />411 1 <br />10 <br />2804 9 <br />649 7 <br />20 <br />16610 <br />230 9 <br />20 <br />2218 8 <br />414 0 <br />20 <br />2815 2 <br />6D4 3 <br />d0 <br />1670 0 <br />233 4 <br />30 <br />2229 1 <br />418 0 <br />90 <br />282,, 6 <br />619 9 <br />40 <br />1679 1 <br />241 0 <br />40 <br />2237 7 <br />421 4 <br />40 <br />2840 9 <br />663 4 <br />50 <br />1688 1 <br />249 5 <br />50 <br />2247 3 <br />425 0 <br />50 <br />2846 3 <br />Me 0 <br />39 <br />1697 2 <br />246 l <br />43 1 <br />2257 0 <br />428 <br />'S 1 <br />2916 7 <br />672 7 <br />10 <br />1706 3 <br />219 , <br />10 <br />2266 6 <br />432 0 <br />10 <br />2867 1 <br />677 3 <br />20 <br />1710 3 <br />251 3 <br />20 <br />227G 2 <br />433 6 <br />20 <br />287,7 5 <br />692 0 <br />30 <br />1721 4 <br />253 9 <br />30 <br />229, 9 <br />439 2 <br />30 <br />2889 0 <br />686 7 <br />40 <br />1733 5 <br />256 5 <br />40 <br />229., 6 <br />442 8 <br />40 <br />2993 t <br />691 4 <br />50 <br />1742 6 <br />259 L <br />30 <br />230o 2 <br />446 4 <br />DO <br />290S 9 <br />696 1 <br />34 r <br />1761 7 <br />2G1 3 <br />41 <br />2314 9 <br />450 0 <br />154- <br />2919 4 <br />700 9 <br />10 <br />1760 9 <br />264 D <br />10 <br />2324 6 <br />453 6 <br />10 <br />2959 9 <br />-05 7 <br />20, <br />1770 0 <br />267 2 <br />20 <br />2334 9 <br />407 9 <br />20 <br />2940 4 <br />710 6 <br />30 <br />1770 1 <br />269 9 <br />30 <br />2314 1 <br />401 0 <br />- 30 <br />2951 0 <br />71D 3 <br />40 <br />1-88 2 <br />272 6 <br />40 <br />2,353 8 <br />464 6 <br />40 <br />2961 5 <br />720 1 <br />t4 <br />179, 4 <br />27a 3 <br />50 <br />2363 5 <br />468 4 <br />- 50 <br />2072 l <br />72a 0 <br />35 <br />1806 6 <br />278 1 <br />45 <br />29-3 3 <br />472 l <br />5 5 <br />2982 7 <br />729 9 <br />10 <br />1815 7 <br />230 9 <br />10 <br />2933 1 <br />47D 8 <br />10 <br />2993 3 <br />711 8 <br />1 20 <br />132'4 9 <br />233 6 <br />`l0 <br />2392 3 <br />4;9 6 <br />20 <br />3003 9 <br />739 7 <br />30 <br />1834 1 <br />296 4 <br />30 <br />2402 b <br />483 8 <br />30 <br />9014 0 <br />744 6 <br />40 <br />1819 9 <br />289 2 <br />40 <br />2412 4 <br />487 2 <br />40 <br />302D 2 <br />749 6 <br />50 <br />1&2 5 <br />.21-2 0 <br />50 <br />2422 3 <br />491 0 <br />50 <br />3035 8 <br />734 6 <br />36 , <br />1801 7 <br />294 J <br />46 <br />2412 1 <br />444 8 <br />S6 <br />8046 5 <br />759 6 <br />10 <br />18,0 9 <br />297 7 <br />10 <br />2441 9 <br />41-9 , <br />LO <br />3057 2 <br />764 6 <br />20 <br />16% 1 <br />300 6 <br />r 20 <br />24al 8 <br />502 5 <br />20 <br />906- 9 <br />769 7 <br />90 <br />1999 4 <br />303 5 <br />40 <br />2461 7 <br />506 4 <br />30 <br />3073 7 <br />774 7 <br />40 <br />1998 6 <br />306 4 <br />40 <br />2471 5 <br />510 3 <br />40 <br />3089 4 <br />779 8 <br />00 <br />1007 9 <br />30_9 3 <br />DO <br />2431 4 <br />514 3 <br />60 <br />3100 2 <br />784 9 <br />t7 <br />1917 1 <br />312 2 <br />172491 <br />3 <br />518 2 <br />57 <br />3110 9 <br />790 1 <br />10 <br />1426 4 <br />315 2 <br />10 <br />2,01 2 <br />522 2 <br />10 <br />9121 7 <br />79a 2 <br />20 <br />11-31 7 <br />318 1 <br />20 <br />2011 2 <br />526 I <br />_'0 <br />1132 6 <br />800 4 <br />30 <br />194. 0 <br />321 1 <br />30 <br />2x21 1 <br />530 1 <br />30 <br />3143 4 <br />80, 6 <br />40 <br />19D4 3 <br />324 1 <br />40 <br />2531 1 <br />531 2 <br />40 <br />9154 2 <br />810 9 <br />a0 <br />19G3 G <br />327 1 <br />10 <br />2541 0 <br />odd 2 <br />DO <br />3165 1 <br />616 1 <br />a8 <br />19,2 9 <br />330 2 <br />48 <br />2501 0 <br />542 2 <br />58 <br />3176 0 <br />821 4 <br />10 <br />1982 2 <br />333 2 <br />10 <br />2abl 0 <br />54o 3 <br />10 <br />3186 9 <br />826 7 <br />20 <br />191-1 D <br />336 3 <br />20 <br />21,1 0 <br />oDO 4 <br />20 <br />3197 8 <br />832 0 <br />30 <br />2000,9 <br />339 3 <br />30 <br />2031 0 <br />504 a <br />30 <br />9209 8 <br />897 3 <br />40 <br />2010 21 <br />342 4 <br />40 <br />2391 0 <br />358 6 <br />40 <br />3219 7 <br />642 7 <br />60 <br />2019 6 <br />34a 5 <br />50 <br />2601 1 <br />662 8 <br />50 <br />3230 7 <br />848 1 <br />39 <br />2029 0 <br />348 6 <br />49 <br />2611 2 <br />666 9 <br />39 <br />3241 7 <br />853 5 <br />' 10 <br />2038 4 <br />3D1 8 <br />10 <br />2621 2 <br />671 1 <br />10 <br />3202 7 <br />85S 9 <br />20 <br />2047 6 <br />354 9 <br />20 <br />2631 3 <br />57D 9 <br />20 <br />8263 7 <br />864 3 <br />30 <br />20a7 2 <br />358 1 <br />90 <br />2641 4 <br />579 0 <br />30 <br />3274 8 <br />869 8 <br />40 <br />2068 6 <br />3G1 3 <br />40 <br />2001 -) <br />583 8 <br />40 <br />3265 8 <br />875 8 <br />50 <br />2076 0 <br />964 5 <br />00 <br />2661 6 <br />086 0 <br />DO <br />9296 9 <br />880 8 <br />40 <br />2081 4 <br />367 7 <br />50 <br />2671 8 <br />592 3 <br />603908 <br />0 <br />886 4 <br />10 <br />2094 9 <br />971 0 <br />10 <br />2681 9 <br />596 6 <br />10 <br />3319 1 <br />892 0 <br />20 <br />2104 9 <br />374 2 <br />20 <br />2692 1 <br />600 9 <br />20 <br />3330 3 <br />897 5 <br />30 <br />2113 8 <br />377 5 <br />1 30 <br />27,02 3 <br />600, 3 <br />30 <br />9341 4 <br />903 2 <br />40 <br />21!3 3 1 <br />980 9 <br />40 <br />2712 D I <br />609 P <br />40 <br />9952 6 <br />909 8 <br />50 <br />2132 r I <br />334 1 <br />00 <br />2722 7 <br />814 0 <br />DO <br />1363 6 <br />914 5 <br />