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TABLE IV - Tannent9 and Externals to a 1"Pave <br />Angle <br />I Tangcnt <br />E,krn.�a Anglo <br />Tangent <br />Estcmal <br />II Angle <br />I Iangont <br />I External <br />10 <br />a0 <br />00 <br />22 <br />11� <br />1,1 <br />70 <br />2u <br />D0 <br />210 <br />10 <br />1061 9 <br />97 57 <br />10 <br />6S <br />34 <br />30 <br />2744 1 <br />10 <br />160 <br />It <br />27 <br />31 <br />2161 2 <br />10, <br />11070 6 <br />99 16 <br />20 <br />66 <br />07 <br />39 <br />30 <br />20 <br />563 <br />13 <br />2S <br />14 <br />40 <br />20 <br />1079 2 <br />100 75 <br />30 <br />70 <br />01 <br />49 <br />636 2 <br />30 <br />e,t, <br />9, <br />2S <br />97 <br />404 2 <br />90 <br />1087 8 <br />102 35 <br />40 <br />83 <br />34 <br />61 <br />2199 4 <br />40 <br />"I <br />36 <br />29 <br />h2 <br />IG,2 0 <br />40 <br />1096 4 <br />109 97 <br />50 <br />91 <br />68 <br />73 <br />20 <br />50 <br />003 <br />79 <br />30 <br />68 <br />20 <br />50 <br />1105 1 <br />105 60 <br />2 <br />100 <br />01 <br />87 <br />12 <br />30 <br />602 <br />11 <br />31 <br />o6 <br />22 <br />40 <br />1113 7 <br />107 24 <br />10 <br />108 <br />30 <br />1 02 <br />1608 1 <br />10 <br />610 <br />64 <br />32 <br />45 <br />5646 3 <br />10 <br />1122 4 <br />108 Sri <br />20 <br />116 <br />GS <br />1 19 <br />53 <br />20 <br />619 <br />07 <br />33 <br />35 <br />10 <br />20 <br />1131 0 <br />110 57 <br />30 <br />121 <br />02 <br />1 36 <br />211 3 <br />30 <br />62- <br />,0 <br />34 <br />26 <br />632 0 <br />30 <br />lli9 7 <br />112 25 <br />40 <br />133 <br />36 <br />1 "D <br />2999 0 <br />40 <br />03, <br />93 <br />30 <br />18 <br />229a G <br />40 <br />1118 4 <br />114 90 <br />50 <br />141 <br />70 <br />1 7a 1 <br />00 <br />60 <br />644 <br />37 <br />38 <br />12 <br />344 <br />60 <br />1157 0 <br />110 66 <br />8 <br />150 <br />04- <br />1 96 <br />13 <br />10 <br />6,1 <br />31 <br />37 <br />07 <br />23 <br />10 <br />1165 7 <br />117 38 <br />10 <br />108 <br />38 <br />2 19 + <br />2334 3 <br />10 <br />661 <br />2, <br />38 <br />03 <br />1 19 1 <br />10 <br />1174 4 <br />119 12 <br />20 <br />166 <br />72 <br />2 43 <br />40 <br />20 <br />6011 <br />70 <br />3) <br />01 <br />40 <br />20 <br />1153 1 <br />120 87 <br />3O <br />176 <br />06 <br />2 67 <br />1169 4 <br />SO <br />G-11 <br />11 <br />39 <br />U9 <br />279 I <br />30 <br />1191 8 <br />122 63 <br />40 <br />183 <br />40 <br />2 93 <br />ISI,) 7 <br />40 <br />686 <br />GO <br />40 <br />99 <br />2'191 4 <br />40 <br />1200 5 <br />124 41 <br />50 <br />191 <br />74 <br />3 21 <br />20 <br />50 <br />690 <br />06 <br />42 <br />00 <br />30 <br />80 <br />1209 2 <br />126 20 <br />4 <br />200 <br />OS <br />3 49 <br />14 <br />40 <br />703 <br />51 <br />43 <br />03 <br />21 <br />50 <br />121" 9 <br />128 00 <br />10 <br />209 <br />43 <br />3 79 <br />wi, 8 <br />10 <br />ill <br />97 <br />44 <br />07 <br />2432 1 <br />10 <br />122G G <br />129 82 <br />20 <br />21b <br />77 <br />4 10 <br />10 <br />20 <br />720 <br />44 <br />45 <br />12- <br />20 <br />20 <br />1235 3 <br />131 65 <br />30 <br />22, <br />12 <br />1 4 42 <br />7b0 ; <br />30 <br />-28 <br />90 <br />4b <br />18 <br />aW 4 <br />30 <br />1244 0 <br />133 00 <br />40 <br />233 <br />47 <br />4 76 <br />24,1 0 <br />40 <br />73" <br />37 <br />47 <br />25 <br />1907 9 <br />40 <br />1202 8 <br />130 30 <br />00 <br />241 <br />81 <br />6 10 <br />37 <br />a0 <br />74, <br />80 <br />48 <br />34 <br />57 <br />50 <br />1261 5 <br />137 23 <br />5 <br />4,)0 <br />16 <br />5 46 <br />15 <br />10 <br />754 <br />42 <br />40 <br />44 <br />25 <br />20 <br />1270 2 <br />139 11 <br />10 <br />20S <br />51 <br />5 83 <br />1945 0 <br />10 <br />762 <br />SO <br />50 <br />5a <br />3113 4 <br />10 <br />12,9 0 <br />141 01 <br />20 <br />268 <br />bG <br />6 21 <br />120 <br />31,4 2 <br />-71 <br />29 <br />51 <br />68 <br />50 <br />20 <br />1267 7 <br />142 93 <br />30 <br />27o <br />21 <br />6 61 <br />330 2, <br />30 <br />779 <br />77 <br />,2 <br />39 <br />821 4 <br />30 <br />1296 5 <br />144 85 <br />40 <br />233 <br />a7 <br />7 Ol <br />3186 9 <br />40 <br />7S9 <br />_u <br />a3 <br />97 <br />2071 0 <br />40 <br />130. 3 <br />146 79 <br />60 <br />291 <br />92 <br />7 43 <br />30 <br />50 <br />79b <br />"a <br />1, <br />13 <br />40 <br />60 <br />1414 0 <br />148 75 <br />6 <br />300 <br />29 <br />7 S6 <br />16 <br />50 <br />S01 <br />25 <br />5G <br />31 <br />26 <br />80 <br />1322 8 <br />150 71 <br />10 <br />103 <br />64 <br />8 31 <br />2611 2 <br />10 <br />413 <br />-1 <br />17 <br />30 <br />2039 4 <br />10 <br />1331 6 <br />la2 69 <br />20 <br />116 <br />99 <br />8 76 <br />20 <br />20 <br />b22 <br />21 <br />eS <br />"0 <br />20 <br />20 <br />1340 4 <br />154 69 <br />30 <br />32a <br />35 <br />9 29 <br />1,9 5 <br />30 <br />330 <br />-6 <br />a9 <br />91 <br />361 3 <br />30 <br />1349 2 <br />166 70 <br />40 <br />334 <br />,1 <br />9 -1 <br />20 o 0 <br />40 <br />919 <br />27 <br />61 <br />14 <br />32t)6 9 <br />40 <br />1378 0 <br />158 72 <br />a0 <br />342 <br />08 <br />10 20 <br />1 oil <br />50 <br />S47 <br />78 <br />6,3 <br />33 <br />10 <br />v0 <br />1366 6 <br />160 76 <br />7 <br />350 <br />44 <br />10 71 <br />17 <br />20 <br />836 <br />30 <br />63 <br />63 <br />27 <br />30 <br />1370 5 <br />102 81 <br />10 <br />38S <br />31 <br />11 22 <br />3341 4 <br />10 <br />S64 <br />82 <br />64 <br />90 <br />2712 o <br />10 <br />1384 4 <br />164 86 <br />20 <br />367 <br />17 <br />11 <br />,4) <br />20 <br />8 3 <br />e <br />66 <br />18 <br />20 <br />1393 2 <br />166 9. <br />30 <br />371 <br />54 <br />12 -19 <br />30 <br />881 <br />SS <br />0' <br />47 <br />30 <br />1402 0 <br />109 04 <br />40 <br />383 <br />91 <br />12 85 <br />40 <br />890 <br />41 <br />M <br />77 <br />40 <br />1410 9 <br />171 10 <br />50 <br />392 <br />2S <br />13 41 <br />00 <br />893 <br />9, <br />70 <br />09 <br />50 <br />1419 7 <br />173 27 <br />8 <br />400 <br />6G <br />13 99 <br />18 <br />90; <br />49 <br />71 <br />42 <br />28 <br />1428 6 <br />175 41 <br />10 <br />409 <br />01 <br />14 19 <br />10 <br />916 <br />03 <br />72 <br />76 <br />10 <br />1437 4 <br />177 50 <br />20 <br />41- <br />41 <br />15 IS <br />20 <br />92t <br />,S <br />`4 <br />12 <br />20 <br />1446 3 <br />179 72- <br />30 <br />490 <br />79 <br />l0 80 <br />10 <br />933 <br />13 <br />7a <br />49 <br />30 <br />1450 1 <br />181 89 <br />40 <br />434 <br />17 <br />16 43 <br />40 <br />941 <br />69 <br />;6 <br />SG <br />40 <br />1464 0 <br />184 09 <br />00 <br />442 <br />05 <br />17 07 <br />00 <br />910 <br />25 <br />78 <br />2b <br />10 <br />1472 9 <br />186 29 <br />9 <br />4x0 <br />93 <br />17 72 <br />19 <br />908 <br />SI <br />79 <br />G7 <br />29 <br />1431 9 <br />188 51 <br />10 <br />4f) <br />32 <br />18 33 <br />10 <br />967 <br />38 <br />81 <br />09 <br />10 <br />1490 7 <br />190 74 <br />20 <br />46 <br />-1 <br />19 06 <br />20 <br />9"1 <br />96 <br />92 <br />a3 <br />10 <br />1499 G <br />192 00 <br />t0 <br />476 <br />111 <br />19 75 <br />10 <br />984 <br />,3 <br />83 <br />97 <br />0 <br />1,08 -) <br />193 25 <br />40--4,94 <br />40 <br />20 45 <br />10 <br />993 <br />12 <br />91 <br />43 <br />l0 <br />1,17 4 <br />197 53 <br />50 <br />492 <br />SS <br />21 16 <br />00 <br />1001 <br />7 <br />86 <br />00 <br />10 <br />1,26 3 <br />199 82 <br />10 <br />001 <br />28 <br />21 89 <br />20 <br />LO10 <br />3 <br />69 <br />39 <br />3U <br />1,3, 3 <br />202 12 <br />10 <br />x09 <br />63 <br />22 62 <br />10 <br />1013 <br />9 <br />69 <br />S9 <br />10 <br />1,,44 2 <br />204 44 <br />20 <br />5LS <br />08 <br />23 38 <br />20 <br />103' <br />5 <br />91 <br />40 <br />20 <br />1 ,3 1 <br />206 77 <br />30 <br />x26 <br />46 <br />_14 14 <br />30 <br />1036 <br />1 <br />92 <br />92 <br />30 <br />1,,62 1 <br />209 12 <br />40 <br />034 <br />89 <br />24 91 <br />40 11044 <br />" <br />94 <br />46 <br />40 <br />1.71 0 ` <br />21l 43 <br />00 <br />a43 <br />29 <br />I <br />2 "0 <br />50 <br />1013 <br />3 <br />Im 01 <br />00 <br />1550 0 I <br />213 86 <br />TABLE IV - Tangents and Externals to a 10 Curve <br />1 <br />Angle I <br />langent I <br />External <br />Angle <br />Tangent <br />Fsternal 11 <br />Angle <br />I Tangent I <br />III <br />External <br />310 ` <br />1180 0 <br />116 3 <br />410 <br />2142 2 <br />ib-, 4 <br />610 <br />2732 9 <br />618 4 <br />10 <br />1194 0 <br />21S 7 <br />10 <br />I <br />2101 7 <br />190 7 <br />10 <br />I <br />2744 1 <br />622 8 j <br />20 I <br />I(Ob 0 <br />22L 1 <br />20 <br />2161 2 <br />394 1 <br />20 <br />27,)3 4 <br />627 2 <br />30 <br />1615 9 <br />123 5 <br />30 <br />2170 8 <br />S97 4 <br />30 <br />27,63 7 <br />631 7 <br />40 <br />1624 9 <br />22G 0 <br />40 <br />2190 3 <br />400 8 <br />40 <br />2773 9 <br />636 2 <br />60 <br />1633 9 <br />228 4 <br />50 <br />2139 9 <br />404 2 <br />00 <br />2784 2 <br />640 7 ! <br />32 <br />1643 0 <br />230 9 <br />42 <br />2199 4 <br />407 6 <br />52 <br />2794 5 <br />615 2 <br />10 <br />IG,2 0 <br />233 4 <br />10 <br />2209 0 <br />411 1 <br />10 <br />2904 9 <br />G49 7 <br />20 <br />11.61 0 <br />335 9 <br />20 <br />2219 6 <br />414 6 <br />20 <br />_'815 2 <br />11,4 3 t <br />30 <br />16;0 0 <br />234 4 <br />30 <br />222, 1 <br />418 0 <br />30 <br />281, 6 <br />6,11 6 <br />10 <br />1.,9 1 <br />241 0 <br />40 <br />223, 7 <br />421 4 <br />40 <br />2910 9 <br />Gb3 4 <br />60 <br />1608 1 <br />241 5 <br />00 <br />974, 3 <br />421 0 <br />00 <br />5646 3 <br />1,68 0 <br />33 <br />1697 2 <br />246 1 <br />13 <br />22,)- 0 <br />429 5 <br />53 <br />29,)6 7 <br />G72 7 <br />10 <br />1706 3 <br />218 7 <br />10 <br />2261, 6 <br />432 0 <br />10 <br />2867 1 <br />877 3 <br />20 <br />1711 3 <br />211 3 <br />20 <br />2276 2 <br />430 6 <br />20 <br />28,7 5 <br />632 0 <br />SO <br />1-24 4 <br />2,3 9 <br />30 <br />229, 9 <br />439 2 <br />30 <br />2999 0 <br />bS6 7 I, <br />40 <br />1733 5 <br />2,b 1 <br />40 <br />229a G <br />442 8 <br />40 <br />2b98 4 <br />691 4 <br />00 <br />1742 6 <br />2,0 1 <br />00 <br />230, 2 <br />446 41 <br />' 50 <br />2908 9 <br />606 1 <br />344 <br />1751 7 <br />261 8 <br />44 <br />2314 9 <br />410 0, <br />34 <br />2919 4 <br />700 9 <br />10 <br />1710 8 <br />261 i <br />10 <br />2124 6 <br />403 6 <br />10 <br />2929 9 <br />701 ; <br />20 <br />17 0 0 <br />26- 2 <br />10 <br />2334 3 <br />45, 3 <br />20 <br />2140 4 <br />710 i <br />10 <br />1 19 1 <br />2G9 9 <br />30 <br />2344 1 <br />41.1 0 <br />30 <br />2151 0 <br />71 + <br />40 <br />1,l'8 2 <br />272 6 <br />t0 <br />23,3 4 <br />464 6 <br />40 <br />5961 0 <br />120 <br />50 <br />lill" 4 <br />270 3 <br />50 <br />241,3 6 <br />1169 4 <br />10 <br />2972 l <br />35 <br />106 6 <br />279 I <br />4S <br />2373 3 <br />t72 1 <br />5'S <br />2'032 7 <br />729 <br />10 <br />ISI,) 7 <br />290 8 <br />10 <br />2393 1 <br />4,5 8 <br />10 <br />2'191 4 <br />744 <br />20 <br />1124 9 <br />2S3 6 <br />20 <br />2392 8 <br />479 6 <br />20 <br />Mi U <br />7,9 7 <br />i0 <br />111it I <br />2SG 4 <br />30 <br />2402 G <br />493 8 <br />30 <br />3014 5 <br />744 b <br />-40 <br />1543 3 <br />299 1 <br />40 <br />2412 4 <br />49, 2 <br />40 <br />302, 2 <br />49 6 <br />50 <br />1512 5 <br />2`12 0 <br />00 <br />2422 3 <br />491 0 <br />50 <br />wi, 8 <br />7o -t 6 <br />36 <br />`1891 7 <br />294 9 <br />46 <br />2432 1 <br />4114 8 <br />56 <br />31149 1 <br />7 1) 6 <br />10 <br />IS 0 9 <br />207 7 <br />10 <br />2441 9 <br />493 7 <br />10 <br />3o,- 2 <br />7C,4 0 <br />20 <br />15110 1 <br />300 G <br />20 <br />2401 8 <br />002 5 <br />20 <br />3067 9 <br />7b0 ; <br />30 <br />199 4 <br />303 5 <br />30 <br />2461 7 <br />aW 4 <br />30 <br />30"8 7 <br />774 7 <br />40 <br />IS98 6 <br />10b 4 <br />40 <br />24,1 0 <br />,10 3 <br />t0 <br />3059 4 <br />779 9 <br />50 <br />1907 9 <br />309 3 <br />00 <br />2491 4 <br />114 3 <br />00 <br />3100 2 <br />794 U <br />37 <br />191, 1 <br />312 2 <br />47 <br />2491 3 <br />,IS 2 <br />57 <br />3130 9 <br />790 1 <br />10 <br />1921, 4 <br />31. 2 <br />to <br />2501 2 <br />,22 2 <br />10 <br />3151 7 <br />790 2 <br />20 <br />19 , 7 <br />319 1 <br />20 <br />2111 2 <br />52b 1 <br />20 <br />3133 6 <br />800 4 <br />30 <br />1945 0 <br />321 1 <br />30 <br />2,,21 1 <br />,30 1 <br />30 <br />3113 4 <br />301 6 <br />10 <br />19,t 3 <br />321 1 <br />40 <br />2131 1 <br />,34 2 <br />40 <br />31,4 2 <br />910 U <br />50 <br />11163 G <br />327 1 <br />50 <br />2341 0 <br />,19 2 <br />50 <br />3183 1 <br />b16 1 <br />38 <br />19 2 9 <br />330 2, <br />48 <br />21al 0 <br />,42 2 <br />58 <br />31-6 0 <br />821 4 <br />10 <br />1952 2 <br />333 2 <br />10 <br />2,61 0 <br />546 310 <br />3186 9 <br />626 7 <br />20 <br />1991 1 <br />331, 3 <br />20 <br />2071 0 <br />; 10 4 <br />20 <br />3197 8 <br />832 0 <br />30 <br />2000 9 <br />339 3 <br />30 <br />2D81 0 <br />a54 . <br />30 <br />3°03 6 <br />817 3 <br />40 <br />2010 2 <br />342 4 <br />t0 <br />2.91 0 <br />,38 6 <br />40 <br />3211) 7 <br />842 7 <br />50 <br />2019 G <br />345 0 <br />50 <br />2601 1 <br />n62 8 <br />80 <br />3210 7 <br />848 1 <br />39 <br />2029 0 <br />318 6 <br />49 <br />2611 2 <br />568 9 <br />59 <br />3241 7 <br />803 5 <br />10 <br />2039 4 <br />3,)1 8 <br />10 <br />2621 2 <br />171 1 <br />10 <br />3202 7 <br />81"1 <br />20 <br />2017 S <br />334 9 <br />20 <br />2631 3 <br />375 3 <br />20 <br />3263 7 <br />'864 3 <br />30 <br />20," 2 <br />359 l <br />30 <br />2641 4 <br />1,9 5 <br />30 <br />3274 8 <br />8G9 8 <br />40 <br />206G 6 <br />361 3 <br />40 <br />26A 5 <br />,�3 8 <br />40 <br />329, 8 <br />871 3 <br />r 50 <br />20 o 0 <br />3G4 5 <br />.0 <br />2661 6 <br />,S3 0 <br />00 <br />32t)6 9 <br />SSO 6 <br />40 <br />20S5 4 <br />3G, - <br />i31 <br />2671 6 <br />092 3 <br />1 oil <br />9108 0 <br />696 4 <br />10 <br />2094 0 <br />171 0 <br />10 <br />2681 9 <br />,96 6 <br />10 <br />3319 1 <br />892 0 <br />20 <br />2104 3 <br />1-4 2 <br />20 <br />2691 1 <br />000 9 <br />20 <br />3330 3 <br />89, 1 <br />30 <br />2113 8 <br />3,7 a <br />30 <br />2,02 3 <br />00, 3 <br />30 <br />3341 4 <br />903 2 <br />40 <br />2123 3 <br />390 9 <br />40 <br />2712 o <br />609 f <br />40 <br />3302 6 <br />900 11 <br />00 <br />2132 7 <br />I 3x4 1 <br />,4) <br />272? 7 <br />614 0 <br />50 <br />I <br />3361 8 <br />914 , <br />w � � <br />