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rr <br />TABLE IV — Tangents and Externals to a 10 Curve <br />Angle I Tangent <br />i <br />I External <br />11 Angle <br />I tangent I I Bernal <br />I Angle <br />u1 <br />I lanbent <br />I Fxternal <br />810 3375 0 <br />920 2 <br />710 <br />0 1308 2 <br />SIO <br />493 6 <br />1800 3 <br />10 3386 8 <br />925 9 <br />10 <br />14096 <br />409c) 5 lilt 6 <br />10 <br />4008 0 <br />1814 7 <br />I <br />20 3397 5 <br />931 G <br />20 <br />4112 1 1123 9 <br />20 <br />4922 a <br />)824 1 <br />d0 8408 8 <br />937 3 <br />40 <br />4124 8 1330 3 <br />30 <br />4937 0 <br />1633 G <br />40 3420 1 <br />943 1 <br />40 <br />4147 4 1337 7 <br />40 <br />4901 5 <br />1943 1 <br />50 34S1 4 <br />948 9 <br />o0L <br />41aO 1 1340 1 <br />50 <br />4906 1 <br />1972 6 <br />62 3442 7 <br />054 8 <br />72 <br />4102 8 1452 6 <br />82 <br />4990 7 <br />19G2 2 <br />10 84o4 1 <br />060 6 <br />10 <br />4175 6 1160 1 <br />10 <br />499a 4 <br />18-1 8 <br />20 8465 4 <br />960 5 <br />20 <br />4188 0 1367 6 <br />20 <br />7010 0 <br />1881 b <br />30 8478 8 <br />972 4 <br />30 <br />420I 2 1371 2 <br />30 <br />00" 8 <br />i8Q1 2 <br />40 8488 8 <br />078 3 <br />40 <br />4214 0 1352 8 <br />40 <br />5039 o <br />1900 9 <br />50 3499 7 <br />984 3 <br />50 <br />4226 8 1490 4 <br />50 <br />5074 4 <br />1910 7 <br />63 3011 1 <br />990 2 <br />73 <br />4239 7 1195 0 <br />81 <br />5009 2 <br />1420 1 <br />10 3022 6 <br />996 2 <br />10 <br />4202 6 1405 7 <br />10 <br />5041 0 <br />1930 4 <br />20 $534 1 <br />1002 3 <br />20 <br />4205 6 1415 7 <br />20 <br />7009 0 <br />1040 3 <br />30 do45 6 <br />1008 3 <br />30 <br />4274 5 1431 2 <br />30 <br />5113 9 <br />1910 3 <br />40 3057 2 <br />1014 4 <br />40 <br />4291 6 1420 0 <br />40 <br />5128 9 <br />1Ub0 2 <br />50 11AS 7 <br />1020 5 <br />50 <br />4304 6 1436 8 <br />50 <br />3143 9 <br />1970 3 <br />64 3780 S <br />1026 6 <br />74 <br />4317 6 1444 6 <br />S4 <br />5159 0 <br />1090 4 <br />10 3591 9 <br />IOU 8 <br />10 <br />4310 7 1452 5 <br />10 <br />5174 1 <br />1990 5 <br />20 3603 o <br />1039 0 <br />20 <br />4113 8 1460 4 <br />20 <br />5189 3 <br />2000 6 <br />30 3610 1 <br />1045 2 <br />30 <br />4306 9 1408 4 <br />30 <br />1204 4 <br />9010 8 <br />40 3826 8 <br />1011 4 <br />40 <br />4370 1 1476 4 <br />40 <br />0219 7 <br />2021 1 <br />50 3638 o <br />1007 7 <br />50 <br />4353 3 1434 4 <br />50 <br />5334 9 <br />2031 4 <br />65 3600 2 <br />1063 9 <br />75 <br />41OG 5 1192 4 <br />85 <br />Woo 3 <br />2041 7 <br />10 3661 9 <br />1070 2 <br />10 <br />4109 5 1700 o <br />10 <br />5265 6 <br />2052 1 <br />20 3673 7 <br />1076 8 <br />20 <br />4424 1 1008 G <br />20 <br />5251 0 <br />2062 b <br />40 JOB) 4 <br />IOS2 0 <br />30 <br />4436 4 106 7 <br />80 <br />5296 4 <br />2073 0 <br />40 3697 2 <br />1099 3 <br />40 <br />4149 7 la2t 0 <br />40 <br />5311 9 <br />2043 <br />50 3709 0 <br />logo 7 <br />I 10 <br />446d 1 1533 1 <br />00 <br />1127 4 <br />1094 1 <br />66 3720 9 <br />1102 2 <br />70 <br />44,8 5 1541 4 <br />86 <br />510 0 <br />21047 <br />10 3732 7 <br />1108 6 <br />10 <br />4469 9 1049 7 <br />10 <br />517$ 6 <br />3110 3 <br />20 3744 6 <br />111.) 1 <br />20 <br />4aO3 4 1))S 0 <br />20 <br />5374 2 <br />2126 0 <br />30 3750 6 <br />1121 7 <br />30 <br />4j18 9 laG6 3 <br />0 <br />5399 9 <br />2136 7 <br />40 3,68 5 <br />1123 2 <br />t0 <br />4a30 4 to" 4 7 <br />40 <br />6405 6 <br />2147 b <br />50 3780 4 <br />1134 8 <br />50 <br />4744 0 1143 1 <br />,50 <br />5421 4 <br />2159 4 <br />67 d792 4 <br />1141 4 <br />77 <br />4aa7 6 1791 6 <br />87 <br />5431 2 <br />2169 2 <br />X30 3804 4 <br />1148 0 <br />10• <br />4771 2 1600 1 <br />10 <br />5453 1 <br />2160 2 <br />20 3816 4 <br />1154 7 <br />20 <br />4184 8 3608 6 <br />20 <br />5169 0 <br />2191 I` <br />30 8828 4 <br />llbl 8 <br />i0 <br />4a94 5 1617 1 <br />30 <br />04S4 9 <br />2202 2 <br />40 3840 5 <br />1168 1 <br />40 <br />4612 2 163) 7 <br />10 <br />0000 9 <br />2213 2 <br />50 384 6 <br />1174 8 <br />50 <br />4626 0 1634 4 <br />50 <br />5717 0 <br />2224 3 <br />68 3964 7 <br />1181 6 <br />7S <br />4039 8 1643 0 <br />88 <br />x033 1 <br />2230 5 <br />10 3876 8 <br />1189 4 <br />10 <br />4613 61651 7 <br />10 <br />1°.19 2 <br />2246 <br />20 3880 0 <br />11924 2 <br />20 <br />4667 4 1660 5 <br />20 <br />0160 4 <br />22a8 0 <br />30 3901 2 <br />1202 0 <br />30 <br />4681 3 1669 2 <br />30 <br />'"S1 6 <br />22G9 S <br />40 4915 4 <br />1209 9 <br />40 <br />4690 2 1678 1 <br />'40 <br />,797 8 <br />2260 6 <br />60 3020 6 <br />1310 8 <br />50 <br />4709 2 1680 0 <br />1 )o <br />1614 2 <br />2292 0 <br />69 3937 9 <br />1222 7 <br />79 <br />4723 2 1691 8 <br />S9 <br />1630 ) <br />2303 a <br />10 39xO 2 <br />1229 7 <br />10 <br />4737 2 1704 7 <br />10 <br />o646 9 <br />2315 0 <br />20 3962 5 <br />1236 7 <br />20 <br />471 2 1713 7 <br />20 <br />7683 4 <br />2326 6 <br />30 3974 8 <br />1219 7 <br />SO <br />'476a 3 1722 7 <br />10 <br />76'9 0 <br />2138 2 <br />40 3987 2 <br />12a0 8 <br />40 <br />4779 4 1731 7 <br />40 <br />1606 4 <br />2349 8 <br />50 3090 5 <br />12a7 9 <br />00 <br />4793 6 1740 8 <br />50 <br />o713 0 <br />2361 1 <br />/ 70 4011 0 <br />126a 0 <br />SO <br />4807 7 1749 9 <br />90 <br />5729 7 <br />2373 3, <br />10 4024 41272 <br />1 <br />TO <br />10 <br />1822 0 1750 0 <br />10 <br />7746 1 <br />214) 1 <br />20 4036 8 <br />3 <br />20 <br />4836 2 1768 2 <br />20 <br />171.3 I <br />219" 0 <br />80 4049 3 <br />1286 0 <br />30 <br />4900 0 Ilii 4 <br />30 <br />5779 9 <br />2409 ,1 <br />40 4061 8 <br />1293 6 <br />10 <br />1864 8 17$8 <br />I <br />40 <br />7791; ' <br />2420 9 <br />30 4074 4 <br />1300 9 <br />00 <br />4879 2 1796 0 <br />00 <br />Dold 6 <br />2432 0 <br />i <br />TAHLE IV 2_ Tangents and Externals to a 10 Curve <br />Angle <br />Tangent <br />External <br />Angle I Tangent I ExternalN <br />Angle I langent <br />External <br />910' <br />5830 5 <br />2444 9' <br />1010 <br />69a0 6 1 <br />1110 1 <br />8336 7 <br />4386 1 <br />10 <br />0847 5 <br />2457 1 ( <br />10 <br />13278 <br />6971 3 $294 1 <br />10 <br />8362 7 <br />4407 6 <br />20 <br />6861 6 <br />2489 3 <br />20 <br />6992 0 4310 1 <br />20 <br />8388 9,4429 <br />2 <br />30 r <br />5831 ^ I <br />2481 5 <br />40 <br />-012 7 3326 1 <br />30 <br />8415 1 <br />4450 9 <br />40 <br />o898 8 <br />2493 840 <br />7093 6 3342 3 <br />40 <br />8441 b <br />,4472 7 <br />50 <br />6916 0 <br />'2006 11 <br />1` 50 <br />7004 6 33.x8 5 <br />50 <br />f 8468 0 <br />,4494 6 <br />98L. <br />o933 2 <br />2018 5 <br />103 <br />7075 5 4474 9 <br />118 <br />8494 6 <br />4616 6 <br />10 <br />1 79130 51 <br />2531 0 <br />_ 10 <br />7096 6 4391 2 <br />10 <br />120' <br />8521 34538 <br />8 <br />20 ' <br />0067 9 <br />2543 6 <br />20 <br />7117 8 3407 7 <br />8x98 1 <br />4061 1 <br />130 <br />5985 3 <br />2506 0 <br />SO <br />7130 0 3424 3 <br />30 <br />1'140 <br />8a,6 0 <br />4583 4 <br />40j <br />8002 7 <br />2568 6 <br />40 <br />7160 3 3410 91 <br />8602 1 <br />-4606 0 <br />' 50 <br />6U2U 21 <br />2541 3 <br />50 <br />7181 7 3407 6 <br />( '50 ' <br />8629 31 <br />4628 6 <br />t <br />93 <br />1 3 <br />1 6037 a <br />♦r <br />2594 0103 <br />, t 4 <br />7203 2, 3474 4 <br />113 <br />8606 61 <br />_465113 <br />10 <br />6055 411 <br />2b06 8 <br />�f 10 <br />7224 7 $491 8 <br />1 10� <br />8884 0 <br />4674 3 <br />20 <br />6073 1; <br />2619 7 <br />20 <br />7246 3 1 3508 2 <br />20 <br />8711 5_ <br />,4697 2 <br />so 1 <br />6080 8 <br />1632 6 <br />t dU <br />7268 0 , 332a 2 <br />30 <br />8739 21 <br />4720 8 <br />40 <br />6 <br />2645 5- <br />_ 40, <br />7289 8 _ 3042 4 <br />—40 � <br />-8467 0_ <br />4743 6- <br />`00 <br />-6108 <br />0126 4 <br />2b38 5 <br />50 <br />7 311 7 3059 6 <br />50 <br />94 <br />8, 9 <br />4766 9 <br />94 <br />6144 8 <br />2671 6 <br />1 <br />104 <br />1333 6 3576 8 <br />114 <br />8822 9 <br />{4790 4 <br />' 10 <br />6162 6 <br />12664 7 <br />10 <br />7355 6 3594 2 <br />10 <br />8801 0 <br />4814 1 <br />20 <br />6160 2 <br />2697 9 <br />20 <br />1377 8 3611 7 <br />20 - <br />- 8879 8 <br />4837 8 <br />80 <br />6198 9 <br />2711 2 <br />80 <br />' 7390 9 3629 2 <br />30- <br />8907 7 <br />4861 7 <br />40 <br />6216 4 <br />2724 6 <br />40 <br />7422 2 3646 8 <br />40 <br />6930 34885 <br />7 <br />14909 <br />1 60 <br />-6234 6 <br />2737 9 <br />601 <br />7444 6 3664 5 <br />50 <br />6960 0- <br />9 <br />95 <br />62i2 8 <br />2761 8 <br />105 ' <br />7467 0 3(82 3 <br />Ills <br />8993 8 <br />4934 1 <br />10 <br />6271 1 <br />2764 8 <br />10 <br />7489 6 1'00 2 <br />30 <br />9022 7 <br />4938 8 <br />+ 1 20 1 <br />6289 4A <br />`2778 8 <br />20 1 <br />7512. 2 3718 2 <br />20 <br />9051 7 <br />4983 1 <br />30 <br />r 6307 9 <br />2792 0 <br />30 <br />7734 9 3736 2 <br />SO <br />9080 9 <br />1007 8 <br />40 <br />6326 3 <br />2805 6 <br />40 <br />.171)7 7 3754 4 <br />40 <br />9110 3 <br />3032 6 <br />` too <br />6344 SF <br />('2819 4 <br />' 00 <br />7o80 6 3772 6 <br />50 <br />9139 8 <br />5057 6 <br />96 <br />6463 4 <br />2633 2 <br />106 <br />7603 5 '3791 0 <br />116 1 <br />r 9169 4 <br />5082 7 <br />0 10 <br />b382 1 ` <br />2847 0 <br />' 1 10 <br />7626 6 3809 4 <br />1 10 <br />'1199 1 <br />, 5107 9 <br />1901 <br />6400 8 <br />, 28b1 0 <br />20 . <br />"649 7 3827 9 <br />20 <br />9'29 0 <br />5133 3 <br />30 <br />6419 5 <br />287a 0 <br />30 <br />7672 9 3946 5 <br />30 <br />9209 0 <br />5158 8 1 <br />40 <br />'0438 4t' <br />2880 0 <br />40 <br />7696 8 386a <br />9289 2 <br />5184 5 <br />1 ' 50 <br />6407181 <br />12903 1 <br />1 <br />tr 50 <br />1719 7 3884 0. <br />t50' <br />9Jt9 5 <br />5210 3 <br />97 <br />6476 24' <br />2917e 3 <br />'10;7 ' <br />7743 2 3002 9 <br />'117 <br />" <br />9319 9 <br />5236 2 <br />1 + 10 <br />1 6495 2 <br />12981 6' <br />10' <br />7766 8 3921 9 ' <br />1 10 <br />9380 5 <br />7282 S <br />' 20 <br />6514 3' <br />2945 9,31960 <br />20 <br />7760 5 3910 9 <br />20 <br />9411 3 <br />o288 6 t <br />1 <br />1 <br />3,' <br />2974 ' <br />30 <br />J " <br />514 3 4969 <br />30 <br />9442 2 <br />5315 0 <br />t <br />40 <br />65o9 6633 <br />, 7 <br />40 <br />7638 1 4 <br />40 <br />0473 2 <br />5341 5 <br />0 ri 50 <br />1 Ga71 9 F <br />^1989 2 <br />'1 50 <br />7683 1 3998 7 <br />50 <br />944 4 <br />5368 2 1 <br />98 <br />6o91 2 <br />3003 8 <br />108 <br />7848 2 4018 2 <br />118 <br />9o35 7 <br />5395 1 <br />10 <br />6610 6 <br />3018 4 <br />' 10 <br />7910 4 4037 81 <br />30 <br />95G7 2 <br />o422 1 <br />2011 <br />1G6d0 If <br />3033 1 <br />r 1,120 <br />7934 6 14007 4 <br />20 <br />9o98 9 <br />2449 2 <br />30 <br />6649 6 <br />3047 9 <br />30 <br />7959 0 4077 2 <br />f 30 <br />9630 7 <br />5476 5 r <br />40 <br />6669 23002 <br />8 <br />, 40 <br />7988 6 4097 1 <br />40 <br />9G62 6 <br />aa04 0 <br />150 L <br />118688 8 <br />130,7 7' <br />4 , 501 <br />8003 0 4117 0 <br />60 <br />9694 7 <br />aa31 7 <br />99 <br />8`08 6 <br />3092 7 <br />109 <br />8032 7 4137 1 <br />119 <br />9727 0 <br />5559 4 <br />' 10, <br />8^28 4'` <br />1 3107 71 <br />' 10 <br />8057 4 4157 3 <br />10 <br />9759 4 <br />5587 4 <br />20 <br />6748 2 <br />3122 9 <br />20 <br />8082 3 4177 5 <br />20 <br />9,92 0 <br />5610 5 <br />806-68 <br />1 1 <br />3138 1, <br />80 <br />8107 3 4197 9 <br />1 so <br />9824 8 <br />5643 8 <br />40 <br />6788 1 <br />' 3153 3' <br />40 <br />6132 8 4218 4 <br />40 <br />'1b1' 7 <br />5672 3 <br />50 <br />5808 2 <br />$168 7 <br />50 <br />Slo7 5 4239 0 <br />50 <br />1 <br />9890 8 <br />0700 9 <br />100 ' ' <br />662818 <br />1 <br />5184 1 <br />1110 <br />6182 8 4259 7 <br />120 <br />9824 0 <br />5729 7 <br />10 <br />16848'a <br />3 g 6 <br />' 10- <br />8204 2 4230 5 <br />10 <br />9957 5 <br />5768 6 <br />20 <br />6968 8 <br />32124 1 <br />1 20 <br />811-113 7 4101 4 <br />20 <br />1 9991 0 <br />5787 7 <br />^ 80 <br />68$9 2 <br />3230 8 <br />30 <br />8204 8 4322 4 <br />d0 <br />10025 0 <br />'917 0 <br />401 <br />0900 6 <br />,246 5 <br />40 <br />8285 0 4343 6 <br />I <br />40 <br />10059 0 <br />5846 5 <br />50 <br />I 6930 1 <br />3262 8 <br />50 <br />8310 8 4364 8 <br />50 <br />10093 0 <br />5876 1 <br />J <br />