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TABLE IV -­Tangents-and F'stcrn3ls'Ito a 10 Cnne <br />Angle, I I one, rot I 1 +tonal <br />II ' Angle <br />111ngent <br />I External <br />0 I,An6lo1 <br />I Ponbunt <br />I Lxtornal <br />41'I, <br />33;5 0029`2 <br />101" <br />71". <br />4086 9 <br />1304 2 Sl" <br />W11 G <br />ISO, 3 <br />t 10 <br />1396 3 <br />',1125 9 <br />7 , 10 <br />4099 5 <br />I <br />131) G . 10 <br />41JU8 U <br />1614 7 <br />I <br />20 - <br />t3U ', <br />1931 6 <br />1 1 2U <br />4112 1 <br />1322 9 1 20 <br />4922 <br />1824 1 <br />3U <br />3409 8 <br />(937 3 <br />L 30 <br />4124 8 <br />1330 3 t 730 <br />4917 U <br />1331 G <br />40 <br />3420 1 <br />4943 1 <br />d i 40 <br />413714 <br />1337 7 0 , 40 <br />4901 D <br />1941 1 <br />7 1)50 <br />3431'4 <br />(948 9 <br />L 4+JO <br />411,011 <br />1345 1 A 60 <br />49DG'1 <br />1b02 6 <br />62 t1 <br />3442 7 <br />95418 <br />72,p <br />41 G2'8 <br />1302 6 82.2 <br />41JSO 7 <br />1962 2 <br />T LAO <br />3114 1 <br />(9110 6 <br />1 110 <br />41'1 6 <br />1360 1 A, 10 <br />400, 4 <br />18'1 8 <br />Y t 20 <br />3465 4 <br />(961, 5 <br />120 <br />118b a <br />1367 6 11 LO <br />DO10 0 <br />1841 , <br />d 30 <br />3476 8 <br />9"2 4 <br />,1 r 30 <br />4201 2 <br />13'5 2 A 30 <br />6024 8 <br />1891 2 <br />, � 40 <br />JIM i <br />197S 3 <br />L 411 <br />4214 0 <br />1352 9 1 h 140 <br />JO 39 J <br />IUUO 0 <br />2 6.50 <br />3499 7 <br />,USI 3 <br />(1 50 <br />4226 8 <br />1JJO 4 1 50 <br />50,,1 3 <br />1910 7 <br />63 Z) <br />3011 1 <br />990'2 <br />71 t <br />421917 <br />1308 0 91)1. <br />5009 2 <br />1920 5 <br />1 -,to <br />3012 6 <br />090 2 <br />( 10 <br />1222 6 <br />1405 7 . 30 <br />5081 0 <br />1930 4 <br />t 1 20 <br />3,34 1 <br />100' 320 <br />;246 3 3009 2 <br />426,) G <br />Mc t 5 1; ' 20 <br />501)U 0 <br />1940 3 <br />' , 10 <br />3141 6 <br />1008 3 <br />t 30 <br />4279 1,, <br />1421 2 0 1130 <br />5113 9 <br />19,0 3 <br />t 110 <br />3 „7 2 <br />]Olt 4 <br />40 <br />129115 <br />1121 0 a 40 <br />al2b O <br />1060 2 <br />6b0 <br />3J6b 7 <br />1020 5 <br />4 0 0 <br />1304 6 <br />11 t1 8 1 C50 <br />5143 9 <br />19-0 3 <br />6 4N17 <br />3080'3 <br />1026 G <br />74 <br />4317 6 <br />1444`f 8 11 2 <br />51211 0 <br />1990 4 <br />X10 <br />1091'9 <br />1042 8 <br />10 <br />4330 7 <br />11,2 5 , 10 <br />5174"1 <br />1999 5 <br />d 1120 <br />360315 <br />1030 0 <br />20 <br />4343 8 <br />1460 4 L ,20 <br />5169 3 <br />2000 G <br />30 <br />161111 <br />1013 2 <br />q 130 <br />4356 9 <br />1468 4 30 <br />5204 1 <br />2010 8 <br />11140 <br />362(.'8 <br />IOJI 4 <br />1 40 <br />4170 1 <br />1176 4 , 40 <br />5219 7 <br />2021 1 <br />41 r ,o <br />363810 <br />1007 7 <br />t 50 <br />4333 3 <br />1484 4 1 50 <br />5234 9 <br />2031 4 <br />6 4 :; <br />3GJO12 <br />1063 9 <br />71S,;i, <br />439G 5 <br />1492 4 81'7L <br />62,9 3 <br />2041 7 <br />Ido <br />3((119 <br />1070 2 <br />r 10 <br />4409 8 <br />1500 5 Lola <br />52G)'G <br />2012 1 <br />' 110 <br />3573 7 <br />IU"6 6 <br />t` 1 ^_0 <br />1423 1 <br />1509 G .7 520 <br />5291 0 <br />2062 5 <br />1 t i0 <br />Wsd I <br />I OS2 9 <br />R; 10 <br />443614 <br />1 ,16 7 IN <br />5296 4 <br />20-1 0 <br />40 <br />3697 2 <br />1089 3 <br />1, 4U <br />4449 7 <br />1021 9 40 <br />51ll 9 <br />2051 , <br />t50 <br />370910 <br />1011 7 <br />0 150 <br />1163 1 <br />1533 1 a6_ SO <br />5327 4 <br />2094 1 <br />66?„i <br />3720'9 <br />110212 <br />76 ( <br />4476 , <br />151114 86} 1 <br />5943 0 <br />210417 <br />' 110 <br />3732 7 <br />IIUs G <br />7 10 <br />116'1 U <br />1,49 7 1 '110 <br />,tJ9 G <br />1115 3 <br />' 1.20 <br />3744'13 <br />1111 1 <br />6 ,20 <br />4103'4 <br />1,19 0 4 (20 <br />0374 2 <br />2126., 0 <br />` t0 <br />371G10 <br />1121 7 <br />;, o tU <br />4,I4) 9 <br />116.6 3 : t0 <br />X39'1 9 <br />21;6 7 <br />U h40 <br />3768 ', <br />1128 2 <br />f, 1t40 <br />1,,3014 <br />1,74 7 4 .140 <br />540, G <br />2147 3 <br />6 1,50 <br />378014 <br />1134 8 <br />L 450 <br />4044 0 <br />1553 1 1, 1 50 <br />5121 4 <br />2158 4 <br />67AZ <br />3702'4 <br />1141'4 <br />77(, <br />41D'16 <br />1 ,91'6 147 " <br />513- 2 <br />2169 2 <br />10 <br />380414 <br />ills 0 <br />_ 10 <br />4071 2 <br />1(00 1 10 <br />,4)3 I <br />21SO 2 <br />L ,t20 <br />3816'4 <br />11 11 7 <br />1 u20 <br />4284 8 <br />ICUs 6 1 20 <br />5469' 0 <br />2101 1 <br />30 <br />382914 <br />1161 3 <br />1 f 30 <br />4,US D <br />1617 t 1 1 30 <br />5194 9 <br />2'01 2 <br />U 040 <br />3540 5 <br />116b 1 <br />L 1 10 <br />3612 2 <br />1611 7 f' t0 <br />,JOU 9 <br />2213 2 <br />1 010 <br />JSJ2'G <br />1171 8 <br />L 50 <br />4626'0 <br />1631 4 1 10 <br />5.)17 0 <br />2224 3 <br />6810 <br />386417 <br />1181,16 <br />7S 1, <br />4039 9 <br />1643.0 SS' I1 <br />0533 1 <br />2232 5 <br />1 110 <br />3976'9 <br />11S9 4 <br />C 410 <br />46,1 6 <br />1601 7 .w 10 <br />524912 <br />2246 7 <br />d L20 <br />iSSU'U <br />119, 2 <br />1 *% <br />RX7 4 <br />16(10 5 , 20 <br />,M 4 <br />22-)9 0 <br />I 130 <br />3901 2 <br />1_'02 0 <br />, 130 <br />4651 3 <br />1669 2 4 1 30 <br />306128 <br />2269 3 <br />T 1.40 <br />^91114 <br />1205 U <br />o,'40 <br />44 J, 2 <br />1619 1 L40 <br />5097 8 <br />22bO 6 <br />1 850 <br />3920 6 <br />1211 8 <br />e L,0 <br />4709 2 <br />1680 9 4 JO <br />5014 2 <br />2292 0 <br />69'+1 <br />3931le0 <br />11J117 <br />7910„ <br />4723 2 <br />1695 8 S9 0 <br />5690 5 <br />210315 <br />f ✓10 <br />3900 21 <br />L9 7 <br />1 110 <br />473; 2 <br />1104 7 2 110 <br />)646 9 <br />2311 0 <br />1 .20 <br />3962x, <br />I2if 7 <br />1 X20 <br />4731 2 <br />1713 7 ('20 1 <br />,663 4 <br />2126 6 <br />CI ' 30 <br />3974'9 <br />121 -Q <br />0 <br />, 47Ga 3 <br />1722 7 30 <br />167919 <br />2113 2 <br />1 040 <br />199-'2 <br />12,0 3 <br />1,40 <br />4779 4 <br />1731 7 ( t40 <br />,1146 4 <br />2340 8 <br />P 060 <br />3JJJ"D <br />120, 9 <br />0 e 10 <br />4793 G <br />1710 8 i. 1Jo <br />5'13 0 <br />2 16 1 5 <br />79;&4 <br />401119 <br />12GJ'0 <br />RIl 1 <br />480''7 <br />174919 90,f <br />57297 <br />237313 <br />' CIO <br />4024 4 <br />1272 1 <br />.x10 <br />432_1 0 <br />1'50 0 110 <br />D'4G 3 <br />235 i 1 <br />120 <br />.016 9 <br />12 9 13 <br />6' 20 <br />4936 2 <br />1-6S 2 120 <br />576111 <br />2i0' 0 <br />:. C30 <br />4041 3 <br />12% , <br />t , t0 <br />4639 1 <br />1777 4 v '30 <br />57"9°U <br />240b 9 <br />)"b 10 <br />4061 8 <br />1291 6 <br />S 140 <br />4b64 8 <br />1786 7 140 <br />5706`7 <br />24_U 9 <br />" 100 <br />40-4'4 <br />1300 9 <br />0 FJO <br />4879'2 <br />17OG 0 1 AJO <br />5813 6 <br />1412 9 <br />11 <br />TABI E IV - Tangents and Externals to a 10 Cur e <br />Angle I Tangent I+Fiternalfl <br />NNN <br />Angle I Tangent I FtternaLll <br />,crglel I <br />Tangent I <br />External <br />910 <br />0830 , <br />2444 9 <br />101" <br />69,0 G 3278 1 <br />111"' <br />8336 ; <br />4366 1 <br />10 <br />0847 <br />I <br />2417 1 <br />10 <br />6971 3 32J4 1 <br />10' <br />i <br />8362 7 <br />440; 6 <br />20 <br />1864 6 <br />2469 1 <br />20 <br />69'12 0 3310 1 <br />20 <br />5333 9 <br />4429 2 <br />30 <br />43881 7 <br />2161 J <br />30 <br />7012 7 3326 1. ' <br />" 90 <br />841D I <br />4400 9 <br />' 40 <br />iJ893 8 <br />2493 8 <br />40 <br />7033 6 3342 3 ' <br />40 <br />S441 5 <br />4472 7 <br />50 <br />'0916 0 <br />2DOb 1 <br />DO <br />70D4 6 33DB 5 <br />D9 <br />84 a3 0 <br />4494`8 <br />92 <br />15933 2 <br />2a16 5 <br />102 <br />7075 5 3374 9 <br />11.2 <br />8494 6 <br />r 4516 6 <br />' 10 <br />DODO 5 <br />2a31 0 <br />10 <br />7096 6 3391 2 <br />1 101 <br />8521 3 <br />4038 8 <br />20 <br />5967 9 <br />2Jt3 5 <br />+ 20 <br />7117 8 340, 7 <br />801 <br />b04S 1 <br />,4a61 1 <br />30 <br />593,, 3 <br />2,,-)6 0 <br />1 30 <br />139 0,9124 3 <br />J30 <br />S17D 0 <br />1 4083 4 <br />1 40 <br />600`.7 <br />2D6S 6 <br />141 40 <br />_7160 3 3440 91 <br />L ,40 <br />8602 1, <br />4606 0 <br />DO <br />69'_0 2 <br />2081 3 A <br />1'_ 50 <br />7161 7 34a7 G <br />I 001, <br />8629 3 <br />4626 6 <br />94 <br />6037 8 , <br />204 0 <br />103 <br />'203 2 34"41 4, <br />119 <br />86.,0 6' <br />4601 3 <br />10 <br />G05a 4 <br />171606 8 <br />Ir 10 <br />,'224 7, 3491 3 <br />10 <br />8664 0 <br />4674 2 <br />20 <br />8073 1 <br />�261B 7 <br />20 <br />;246 3 3009 2 <br />20, <br />6711 5 <br />4697 2 <br />30 <br />60110 8 t <br />12G32 6 <br />( 10 <br />7263 0 3020 L <br />30 <br />8739 2 <br />4'20 3 <br />40 <br />1,108 G <br />,2640 5 <br />40 <br />7269 8 3,42 4 <br />40 <br />8;6- 0 <br />4743 6 <br />00 <br />612G 4 <br />2658 6` <br />0O <br />1311 7 32 9 6 <br />a0 <br />3794 9 <br />4766 9 <br />1927, <br />94 <br />t0 <br />120- <br />6144 3 <br />0164 6 j <br />2671 6 <br />,2664 1 <br />10411 <br />10 I <br />7333 G S <br />73D5 G 3294 2 <br />114 <br />PO <br />8822 9 <br />86D1 0 <br />4790 4 <br />X4814 1 <br />-6180 2 <br />2697 0 <br />20 <br />7377 8 3611 7 <br />10 1 <br />SS79 '1 t <br />, 4837'9 <br />30 <br />6193 3 <br />2711 2 <br />30 1 <br />7399 9r 3629 2 <br />10 <br />8907 7 <br />4861 7 <br />40 <br />6216 4 <br />2724 5 <br />40 <br />7422 2 3646 8 <br />40 <br />6036 3 <br />488a 7 <br />50 <br />0234 6 <br />12737 9 <br />50 <br />7444 G 3664 1 <br />.,0 <br />896D 0 <br />4909 9 <br />95 <br />112,2 8 <br />2701 3 <br />106 <br />7467 0 1 3682 3 <br />HISS <br />8993 8 <br />4934 1 <br />+ 10 <br />8271 1 <br />2764 8 <br />10 <br />7459 6 3700 2 <br />10, <br />7 <br />40,8 6 <br />20 <br />6289 4 <br />x2778 3 <br />20 <br />,7512 2 3718 2 <br />'_'0 <br />„90J2 <br />90,1 7 <br />4983 1' <br />30 <br />6307 9 <br />2792 0 <br />30 <br />7D34 9 3736 2 <br />v0 <br />19080 9 <br />5007 8 <br />40 <br />6326 3 <br />2805 6 <br />40 <br />7a57 , 37,4 4 <br />40 <br />9110 3 <br />6032 6 <br />1 150 <br />0344 8 <br />2319 4 <br />1 50 <br />7JSO 5 3772 D <br />40 1 <br />9139 8 <br />3007 6 <br />96 <br />6303 4 <br />2,4'31 2 <br />108 <br />7,603 5 3 70 L 0 <br />116 <br />9109 4 <br />5082 7 <br />10 <br />6352 1 <br />2347 0 <br />1 ,10 <br />7626 6 3SO9 4 <br />1 20 <br />9199'1 <br />6107 9 <br />20 <br />6400 8 <br />2961 0 <br />20 <br />17649 7 3827 9, <br />10 <br />9229 0 <br />5133 3 <br />t30 <br />6119 a <br />28-i 0 <br />30 <br />7672 9 3b16 6 <br />30 <br />9239 0 <br />5158 8 <br />40 <br />G438 4 <br />2_SS9 0 <br />` 1 40 <br />7696 3 3865 2 <br />40 <br />9289 2 <br />6164 0 <br />t1' 150 <br />6457 31 <br />12003 1 <br />J DO <br />7719 7 13884 0 <br />130 <br />9319 5 <br />,5210 3 <br />97 <br />6476 2 <br />2917 3' <br />107 1 <br />7743 2' 3902 9 <br />117 1 <br />931,9'9 <br />5236 2 1 <br />4110 <br />649. 2 <br />2931 6 <br />t 1 10 , <br />7766 8 3921 9 <br />t110 <br />^ 93SO 5 <br />5262 3 <br />20 <br />6514 3 <br />2045 9 <br />20, <br />7790 5 3940 9 <br />20 <br />9411 3 <br />X288 6 <br />30 <br />6533 4 <br />2900 3 <br />30 <br />'7814 3 ' 3960 1 <br />90 <br />9442 2 <br />'D31D 0 <br />40 <br />6002 6 <br />2974 7' <br />411 40 <br />7838 1 3979 4 <br />40 <br />9473 2 <br />5341 a <br />1n 1150 <br />6071 9 <br />2939 2 <br />, t 60 <br />, 7862 1 3995 7 <br />50 9 <br />9004 4 <br />, 6318 2 <br />98 <br />G091 2 <br />3003 8 <br />108 <br />783G 2 4018 2 <br />118 <br />9535 7 <br />5393 11 <br />10 <br />6610 6 <br />3018 4 <br />y 10, <br />, 7910 4 1 4037 8 <br />10 <br />_9,,67 2 <br />5422 1 <br />20_ <br />6630 1 <br />3033 1 <br />- 20 <br />330 <br />;934 6 f40J7 4 <br />311, <br />U0U8 9 <br />,5449 2 <br />30 <br />6649 6 <br />3047 9 <br />'7030 0 4077 2 <br />20 <br />- 9630 7 <br />5476 5 <br />40 <br />6069 2 <br />3062 8 <br />40 <br />,SS3 51 '4097 1 <br />' i 10 ' <br />9662 G <br />5J04`01 <br />50'71 <br />6688'8 <br />, 3077 7 <br />t 50 <br />8008 0 14117 0 <br />50 <br />T1694 7 <br />5531 7 <br />99 <br />8703 8 <br />3092 7 <br />109 <br />8032 7 4137 1 <br />119 <br />9727 0 <br />15559 4' <br />t0 , <br />8723 4 1 <br />3107 7 <br />r 10 <br />8017 4 4101 3 <br />tl0 , <br />,9759 4 <br />5537 4 <br />20 <br />6748 2 <br />3122 9 <br />20 <br />8082 3 4177 5 <br />20 <br />9792 0 <br />5015 5 <br />30 <br />6'63 1 <br />3133 1 <br />30 <br />8107 3 4197 9 <br />109824 <br />8 <br />'5643 8 <br />' 40 <br />6768 1 <br />0153 3 <br />t40 <br />'8132 3 4219 4 <br />410 <br />OSJ7 7 <br />5672 3 <br />50 <br />0503 2 <br />3168 7 <br />50 <br />8107 5 4230 01 <br />_ so, <br />9890 8 <br />0700 9 ' <br />100 <br />6828'3 - <br />3184 1'' <br />110 - <br />`' 8182 8 4259 i <br />+120 " <br />9024 0, <br />'5729 7 <br />10_ <br />16543 D_ <br />3199 6 ( <br />10 1 <br />8208 2 4280 5 <br />L 011119957 <br />5 <br />5153 6 <br />20 <br />6663 8 <br />3210 120 <br />8233 7 4301 4 <br />�n <br />9901 0 <br />5787 7 <br />^90 <br />6839 2 <br />3230 Br <br />L' 30 <br />8239 3 4322 4 <br />41' 9J <br />10025 0 <br />0817 0 <br />40 <br />6909 6 <br />324615 <br />40 <br />8286 0 4343 6 <br />1 <br />40 <br />110059 0 <br />6846 5 <br />50 <br />I 6930 1 <br />3282 9 <br />50 <br />8310 8 4364 8 <br />50 <br />10093 0 <br />5876 1 <br />