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' IJ I, I ^ TABU' N 1 - Taugents and Exteimis to a,10 Curve A j <br />AngleI <br />lang�ntt <br />l zt0rnal <br />l Angle I Tangent <br />I Mternalll <br />4ngle rl <br />I <br />Tangent <br />I External <br />Q <br />06UO <br />23 <br />11° oo] 70" <br />-26 00 <br />210 t <br />1081 8 <br />97 67 <br />o <br />to" <br />I�99 53 34 <br />`30 <br />10'` 560 11 <br />27 31 <br />10 <br />I 1070 6 <br />99 16 <br />20 <br />sGG 67 <br />221 1 <br />223 0 <br />20 568 19 <br />2S 14 <br />� <br />20r <br />r 1079 2 <br />100 76 <br />30,, <br />75 O1 <br />49 <br />30 576 90 <br />Ji 97 <br />80 <br />1027 8 <br />103 35 <br />40,` <br />83 34 <br />, 61 <br />40� 9S� 30 <br />1 29 32 <br />40, <br />1096 4 <br />103 97 <br />50 <br />91 68 <br />l 73 <br />50,1 593 79 <br />30 GS <br />50 <br />1 110a 1, <br />loo 60 <br />2100 <br />01 <br />87 <br />12+ 602 21 <br />31 56 <br />22 <br />1113 7' <br />107 24 <br />10 <br />108 3o <br />11 02 <br />10 610 G4 <br />32 45 <br />10 <br />1122 4 <br />108 90 <br />20 <br />116 68 <br />tl 19 <br />20' 811 07 <br />tt 19 35 <br />20 <br />1131 0 <br />110 a7 <br />110 <br />129 02 <br />11' 3b <br />30+ 637 00 <br />1 34126 <br />30' <br />1139 7' <br />112 25 <br />' 40" <br />-133 361- <br />1 5D-' <br />'" ^`40 630'93 <br />35'18 " <br />40 <br />'1143'4- <br />"113 90 <br />50 <br />141 70 <br />1 75 r <br />1 6160 644 37, <br />X3(1 12 1 <br />50 <br />1157 0 <br />115 66 <br />"S - <br />150 04" <br />1'96'"' <br />• <br />' 131""' '"612 81" <br />"'37 07 ` <br />`�3 <br />1105 7- <br />-117 38 <br />10 <br />` 158 33 <br />2 19 <br />10_ 661 25 <br />` 99 03 <br />10 <br />1174'4 <br />119 12 <br />1 20 <br />1166 72 <br />' 2 43 ' <br />1 20 - 669 -0 <br />39 01 + <br />20 <br />,1133 1 <br />120 8- <br />30 <br />175 06 <br />2 67 <br />30 -678 15 <br />39 09 <br />30 <br />1191 8 <br />122 63 <br />40 <br />1 183 40 <br />' <br />12 93 <br />_40 1 686 GO <br />' 40 99 <br />40 <br />1200 5 <br />124 41 <br />50 <br />191 74 <br />X200 <br />3 21 ' <br />r 50 691 0_6 <br />142 00 <br />50'- <br />1209 2 <br />1 126 20 <br />4 <br />03 <br />143'' <br />r 3 49 <br />14 . 703 DI <br />117 11711 <br />43_03 <br />'"44 <br />24 e <br />1' <br />_ <br />1217 9 <br />128 00 <br />10 <br />208 <br />3 79 <br />10-' 97 <br />07 <br />10 <br />1226 6 <br />129 82 <br />' ` { 20- <br />+' 30 <br />-2Ib-77- <br />225 12 ! <br />-" VIO- <br />42 <br />i 20' "'720'44' <br />30 726'90 <br />m 45'12' <br />4G 18 <br />"20 ^ <br />30 <br />"1235'3 " <br />1244 0 <br />, <br />131 65 <br />133 50 + <br />1 40 <br />233 47 r <br />14 <br />4 76- <br />f <br />it 40 ` 737 97 <br />47 25 <br />X40 <br />1252 8 <br />135 35 <br />f 60 <br />241 Sl <br />_b LO <br />50 74a Bol <br />4S d4 <br />_ oO <br />12ol 5 <br />137 23 <br />6 r <br />250 1; 1 <br />5 401 <br />115 754132 <br />' 49 14` <br />25 <br />1270 2 <br />199 11 <br />10 <br />2v9 bl 1 <br />6 83� <br />10 702 90 <br />-o0 65 1 <br />1- L01 <br />1279 0 <br />141 01 <br />20 <br />266'66 ' <br />6 21 <br />(20 771129 <br />0l 68 <br />120 I <br />1281 7 <br />142 93 <br />30r <br />275 21 <br />6 61 <br />'30 779 77' <br />02 89 1 <br />30 <br />1298 5 <br />144 65 <br />40 <br />50 <br />289 )7 <br />al 92 ' <br />7 01" <br />1 i 43 <br />f 10 785 26 <br />100 796'7,, <br />03 07, <br />a0 13 t <br />7 40 <br />50 1 <br />13Ua 3 <br />1314 0 <br />146 79 <br />148 75 <br />1514 9 <br />+253 6 <br />,7 <br />2393 8 <br />479 6 <br />1 <br />3003 9 <br />739 7 1 <br />6 rr <br />300 28 <br />66 <br />16 80x125 <br />o6 31 s <br />26 r <br />1322 8, <br />160 71 <br />10 <br />303 b4 <br />8 311 <br />10 ( 813 75 <br />o7 00 <br />1 10 <br />1331 6 <br />102 69 <br />20 <br />116 99 <br />8 70 <br />t +20 922 25 <br />08 70 <br />1 20 <br />1940 4 <br />154 69 <br />>� 1 d0 <br />325 95 1 <br />t,_9 23 <br />i 1 t 10 830 -6 <br />09 91 <br />I 30 <br />1349 2 <br />166 70 <br />40 <br />333 71 <br />ttO 71 <br />' t 40 339 21 <br />61 14 <br />1 40 <br />1308 0 <br />t 103 75 <br />,50 <br />342 08 <br />IU 2X <br />50 4 3S47, 78 <br />62 38 <br />1 50 <br />1306 8 <br />160 70 <br />7 <br />3501 44 , <br />10 71-, <br />17 L Bao 30 <br />63 63 <br />27 <br />1373 B <br />182 81 <br />10 <br />116 81 <br />11 22 <br />1 10 S6t S2 <br />64 90 <br />10 <br />1984 4" <br />164 86 <br />20 <br />367 17 <br />ll -o <br />1 20 1 873 3o <br />6b 10 <br />20 <br />1393 2 <br />'16b 9, <br />30 1 <br />375 54 <br />12 19 <br />30 631 SS <br />67 47 <br />30 <br />1402 0 <br />169 04 <br />40 <br />383 91 <br />12 8) <br />40 , 890 41 <br />63 77 <br />40 <br />1410 9 <br />171 to <br />60 <br />392 2S <br />13 41 <br />,0 892 90 <br />70 09 4 <br />00 <br />1419 7 <br />173 27 <br />B <br />400 66 <br />13 99 <br />1S ' 907 49 <br />71 42 <br />29 <br />1429 6 <br />175 41 <br />10 ' <br />409 03 <br />14 ob <br />10 016'03 <br />72 76 <br />10 <br />1437 4 <br />177 6., <br />20 <br />417 41 <br />15 18 <br />20 924'o3 <br />74 12 <br />120 <br />1446 3 <br />179 72 <br />10, <br />421 79 <br />15 SO <br />1 30 933 13 <br />71 49 <br />30 <br />1405-1 <br />181 89 <br />40 <br />434 17 <br />16 43 <br />40 941 69 <br />76 86 <br />40 <br />1464 0 <br />184 08 <br />4\ 50 <br />442 00 <br />17 07 <br />00 900 20 <br />78 26 <br />- a0 <br />14,2 9 <br />186 29 <br />\ 9 <br />450 93 <br />171-12111 <br />908 Sl <br />70 b7 <br />29 <br />1451 8 <br />188 61 <br />\ 10 <br />409 32 <br />18 38 <br />10 ,967 39 <br />81 09 <br />10 <br />1440 7 <br />190 74 <br />20 <br />487 -1 <br />19 OO <br />20 97, 96 <br />82 �9 <br />20 <br />1499 6 <br />192 99 <br />`80 <br />476 10 <br />19 76 <br />30 984 a3 <br />S3 97 <br />to . <br />IDOJ 6 <br />19, 20 <br />40 <br />484 49 <br />20 45, <br />40 993 12 <br />S0 43 <br />40 , <br />lal7 4 <br />19- o3 <br />50 <br />492 88 <br />21 16 <br />I 00 1001 7 <br />88 90 <br />0- <br />1,)26 1. <br />199 82 <br />10 <br />601 28 <br />21 89 <br />20 1010 3 <br />88 49 <br />14) <br />1 a i i 3 <br />202 12 <br />10 , <br />609 68 <br />22 63 <br />10 1011 9 <br />S9 S9 <br />10 <br />1-)44 2 <br />204 44 <br />20 , <br />518 03 <br />23 33 <br />20 1027 <br />91 40 <br />20 <br />1013 1 <br />206 77 <br />30 <br />126 48 <br />24 14 <br />30 1036 1 <br />92 I3 <br />30 <br />1162 1 <br />209 12 <br />40 <br />534 89 <br />24 91 <br />40 1044 7 <br />94 46 <br />40 <br />lo71 0 <br />211 48 <br />00 <br />543 29 <br />2a 70 <br />aO 1003 3 <br />9G O1 <br />o0 <br />1080 0 I <br />211 36 <br />oU <br />3296 9 <br />40 <br />2085 4 <br />367 7 <br />50 <br />2671 1 <br />TABLE 1V - Tangents 9n,1 E,<teluals to a 10 Cure <br />Angle I langent I <br />Ecternal II <br />Angle I <br />Tangent I I eternal II <br />Angle I <br />Tangent I Fzteinal <br />31° <br />1639 0 <br />218 3 <br />410 ` <br />2142 2 <br />'tor 4 <br />51° I <br />2,32 0 <br />2"43 1 <br />619 4 <br />622 & <br />10 <br />1008 0 <br />218 7 <br />10 IV <br />20 <br />2101 " <br />21G1 2 <br />790 7 <br />1 394 1 <br />l0 <br />20 <br />27.x3 4 <br />627 2 <br />20 <br />30 <br />1006 9 <br />L,10 9 <br />221 1 <br />223 0 <br />30 <br />2170 8 <br />397 4 <br />3u <br />2763 7 <br />031 7 <br />40 <br />10.4 9 <br />226 0 <br />40 <br />2180 3 <br />'+400 8 <br />40 <br />2773 9 <br />2 <br />636 2 <br />640 7 <br />501633 <br />9 <br />1228 4 <br />00 <br />2189 9 <br />404 2 <br />50 <br />2734 , <br />42 <br />1b43 O ' <br />230 9 <br />42 <br />2190 4 <br />407 6 <br />52 <br />2794 5 <br />645 2 <br />10 <br />16,13 0 <br />293 4 <br />10 <br />2209 0 <br />411 I <br />10 <br />2SO4 9 <br />1649 7 <br />20 <br />LCG1 0 f <br />237 9 <br />- 20 <br />2215 6 <br />414 5 <br />20 <br />2811 2 <br />004 3 <br />30 <br />1670 0 , <br />232 4 <br />90 <br />2528 1 <br />419 0 <br />30 <br />411 ' <br />2329 6 <br />2830 9 <br />08 6 <br />663 4 <br />40 <br />1679 1 <br />241 0 <br />4C <br />2237 7 <br />421 4 <br />0 <br />00 <br />2646 3 , <br />668 0 <br />50 <br />1628 1 <br />243 5 <br />2247 3 <br />X420 <br />43 <br />1697 2 <br />246 1 <br />41 <br />2257 0 <br />426 6 <br />53 <br />�_qa6 1 <br />872 7 <br />10 <br />1700 d <br />245 7 <br />10 <br />2266 6 <br />432 0 <br />10 , <br />2867 1 <br />677 d <br />20 <br />1710 3 <br />gal 9 <br />20 <br />2278 2 <br />195 6 <br />20 <br />2817 6 <br />882 0 <br />7 <br />30 <br />1724 4 <br />. 21)3 9 <br />'o <br />2`-'85 9 <br />439 2 <br />30 <br />2488 0 <br />686 <br />40 <br />11733 5 <br />421)6 0 <br />40 <br />.2295 b <br />442 8 <br />40 <br />2898 4 <br />691 4 <br />50 <br />1742 6 <br />259 1 <br />1)0 <br />210 2 <br />446 4 <br />50 <br />2008 9 <br />696 1 <br />14 r <br />111)1 7 <br />2G1 8 <br />44 <br />2314 9 <br />450 0 <br />14 <br />2919 4 <br />700 9 <br />30 <br />17 G0 8 <br />1_84 5 <br />10 <br />2324 0 <br />4,,3 6 <br />10 <br />29-'U 9 <br />705 7 <br />2U <br />11776 0 <br />267 2 <br />20 <br />21i4 3 <br />407 3 <br />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 />2951 6 <br />6 <br />716 3` <br />720 1 <br />4-0 <br />1;53 2 <br />272 G <br />40 <br />'29-,3 8 <br />464 6 <br />40 <br />1961 <br />.10 <br />1797 4 <br />lir 3 <br />50 <br />1369 5 <br />488 4 <br />�0 <br />2972 1 <br />725 0 <br />35 <br />1806 o <br />278 1 <br />45 <br />2373 3 <br />472 1 <br />'s'S <br />2082 7 <br />729 9 <br />I 10 <br />1810 7 <br />2SO S I <br />10 <br />23S9 1 <br />475 8 <br />' 10 <br />12993 3 <br />744 8 <br />20 <br />1514 9 <br />+253 6 <br />20 <br />2393 8 <br />479 6 <br />20 <br />3003 9 <br />739 7 1 <br />30 <br />1 <br />15341 <br />236 4 <br />30 <br />2402 6 <br />483 8 <br />30 <br />3014 5 <br />$44 6 <br />40 <br />1543 <br />28� 2 <br />40 <br />'2412 4 <br />487 2 <br />40 <br />30_'0 2 <br />1749 6 <br />10 <br />18x2.5 <br />2'JS 0 <br />o0 <br />2422 3 ' <br />491 0 <br />50 <br />19090 8 <br />764 B <br />36 <br />1861 " <br />294 9 <br />46 <br />2432 1 <br />494 8 <br />56 <br />13046 0 <br />'09 6 <br />1019 <br />0 9 <br />297 7 <br />10 <br />2441 9 <br />49S 7 <br />10 <br />90,7 2 <br />'764 6 <br />3U <br />1SI0 1 <br />t9GO 6 <br />20 <br />-2411 2-- <br />o02 5 <br />r 120 ' <br />3067 9 <br />709 7 <br />10 <br />IS89 4 <br />301 5 <br />30 <br />12161 i <br />106 4 <br />- 30 <br />3073 7' <br />774 i <br />to <br />ISIS 6 <br />306 4 <br />40 <br />2471 5 <br />010 3 <br />40 <br />ROS9 4 <br />778 8 <br />00 <br />190- 9 <br />1309 3 <br />1)0 <br />2461 4 <br />514 3 <br />00 <br />3100 2 <br />1794 9 <br />37 <br />1917 1 <br />312 2 <br />47 <br />2491 3 <br />518 2 <br />57 <br />3110 9 <br />790 1 <br />10 <br />1926 4 <br />310t0 <br />2501 2 <br />522 2 <br />10 <br />3121 1 <br />795 2 <br />-1 ,26 <br />19 b 7 <br />313 1 <br />10 <br />2511 2 <br />120 1 <br />20 <br />3132 6 <br />800 4 <br />30 <br />194 0321 <br />1 <br />90 <br />2521 1 <br />030 1 <br />30 <br />9143 4 <br />, '805 6 <br />40 <br />1 19x4 3 <br />324 1 <br />40 <br />2531 1 <br />a34 2 <br />40 <br />3154 2 <br />810 9 <br />�0 <br />163 6 <br />327 I <br />50 <br />2041 0 <br />39 2 <br />50 <br />3180 1 <br />818 1 <br />38 <br />197`2 9 <br />330 2 <br />4S <br />2,151 0 <br />042 2 <br />SS <br />3178 0 <br />621 4 <br />10 <br />1962 2 <br />993 2 <br />10 <br />2161 0 <br />046 3 <br />I 10 <br />3186 9 <br />82G 7 <br />2U <br />1991 5 <br />376 3 <br />20 <br />2x71 0 <br />500 4 <br />20 <br />5197 8 <br />832 0 <br />30 <br />0 <br />339 1 <br />t0 <br />25S1 0 <br />dao 5 <br />30 <br />d208 8 <br />837 d <br />40 <br />12000 <br />2010 2 <br />342 4 <br />=o <br />2 91 0 <br />008 6 <br />40 <br />3219 7 <br />842 7 <br />00 <br />2019 G <br />341 5 <br />I 0) <br />2801 1 <br />oG2 8 <br />a0 <br />3230 7 <br />848 1 <br />39 <br />2029 0 <br />34S 6 <br />49 <br />2411 2 <br />566 0 <br />5;9 ' <br />3241 7 <br />819 4 <br />4 <br />10 <br />2091 4 <br />3a1 3 <br />10 <br />1621 2 <br />171 1 <br />LO <br />4252 7818/ <br />5645 6 <br />20 <br />2047 8 <br />304 9 <br />20 <br />2631 3 <br />0,5 1 <br />20 <br />3263 1 <br />S6µ2 <br />30 <br />20x7 2 <br />318 1 <br />30 <br />2641 4 <br />0,9 6 <br />30 <br />3274 8 <br />'1255 <br />3 <br />40 <br />2066 6 <br />361 9 <br />40 <br />2601 5 <br />533 8 <br />40 <br />8 <br />8 <br />�'� 9 <br />00 <br />2076 0 <br />364 5 <br />v0 <br />2661 6 <br />088 0 <br />oU <br />3296 9 <br />40 <br />2085 4 <br />367 7 <br />50 <br />2671 1 <br />392 3 <br />GO <br />3106 0 <br />4729 7 <br />57 >8 6 <br />10 <br />2094 9 <br />371 0 <br />10 <br />2bS1 9 <br />196 6 <br />10 <br />d319 1 <br />3' <br />20 <br />2104 3 <br />3-4 2 <br />50 <br />209 '_ 1 <br />600 9 <br />20 <br />3330 3 <br />i <br />17 0 <br />30 <br />2113 8 <br />377 a <br />90 <br />270? 1 <br />GO" 3 <br />90 <br />934L 4 <br />00 <br />! oS <br />40 <br />2123 3 <br />980 8 <br />40 <br />2 11 0 <br />809 P <br />40 <br />3352 <br />I ,1S G 1 <br />50 <br />2]32 i <br />l SS4 1 <br />1 d0 <br />2 22 7 <br />614 0 <br />50 <br />3363, <br />_ <br />