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A <br />TABLE IV — Tangents and Externals to a 10 Curve <br />Anglo <br />I lan6LaL <br />I Ext¢r0a1 <br />N lagle <br />I � <br />I Tangent <br />I External <br />_ <br />II Angla <br />I lanbent I Lt ental <br />IQ <br />)0 00 <br />22 <br />1110 _ <br />- 5-1 70 <br />26 50 <br />310 <br />9 97 37 <br />10 <br />0S 34 <br />I <br />90 <br />10 <br />560 11 <br />27 31 <br />I <br />10 <br />11061 <br />10-0 8 99 16 <br />10 <br />66 67 <br />1 99 <br />20 <br />008 53 <br />28 14 <br />20 <br />10"9 2 100 70 <br />30 <br />") 01 <br />49 <br />30 <br />570 0-) <br />28 97 <br />30 <br />1087 8 103 35 <br />40 <br />W 34 <br />I 81 <br />40 <br />565 3b <br />29 62 <br />40 <br />1096 : 103 97 <br />50 <br />91 66 <br />73 <br />50 <br />5U3 79 <br />30 68 <br />00 <br />1105 1 101 b0 <br />3 <br />100 01 <br />'87 <br />13 <br />802 21 <br />31 56 <br />22 <br />1113 7 107 24 <br />10 <br />Ind 30 <br />1 02 <br />10 <br />610 64 <br />32 4., <br />10 <br />112'1 4 108 9U <br />20 <br />1 I 68 <br />1 19 <br />20 <br />619 07 <br />93 30 <br />20 <br />1131 U 110 57 <br />30 <br />120 02 <br />1 96 <br />30 <br />827 50 <br />34 26 <br />3U <br />1134 7 112 21 <br />40 <br />—133 36 <br />1 55 <br />_ <br />40 <br />630 'J3 <br />30 16 <br />40 <br />1149 4 ltd Do <br />50 <br />141 70 <br />1 70 <br />50 <br />644 37 <br />36 12 <br />' 00 <br />1107 0 115 66 <br />3 - <br />100 04 <br />1 9fi <br />13 <br />65? 81 <br />47 07 <br />23 <br />118, 7 117 38 <br />101 <br />20 <br />106 39 <br />166 72 <br />2 19 <br />2 49 <br />10 <br />20 <br />661 2-h <br />669 70 <br />18 03 <br />30 Ol <br />10 <br />20 <br />11"4 4 119 12 <br />1183 1 120 87 <br />30 <br />170 08 <br />1183 <br />2 67 <br />30 <br />078 11 <br />39 99 <br />30 <br />1191 9 122 63 <br />440 <br />40 <br />2 93 <br />40 <br />686 GO <br />10 `19 <br />40 <br />1200 5 124 41 <br />50 <br />191 74 <br />_ 3 21 <br />' 50 <br />601 06 <br />41 00 <br />00 <br />1100 2 126 20 <br />4 <br />200 08 <br />8 491 <br />14 <br />103 51 <br />48 03 <br />21 <br />1217 9 129 00 <br />r 10 <br />208 43 <br />3 79 <br />10 <br />7,11 97 <br />44 07 <br />101226 <br />6 129 82 <br />y1235 <br />20` <br />216 77 <br />4 10` <br />20 <br />720 44 <br />40 12 <br />20 <br />3 141 81 <br />30 <br />)220 12 <br />4 423 <br />30 <br />128 90 <br />16 13 <br />30 <br />1214 0 Ida 50 <br />40 <br />299 47 <br />4 76 <br />40 <br />737 97 <br />4 20 <br />40 <br />12x2 8 130 3) <br />50 <br />241 81 <br />6 10 <br />50 <br />745 So <br />48 34 <br />50 <br />1261 5 137 23 <br />5 1 <br />230 16 <br />5 46 <br />IS I <br />',A 82 <br />49 44 <br />21112-0 <br />2 139 11 <br />10 <br />208 51 <br />5 83 <br />_ 10 <br />762 80 <br />50 -. <br />10 <br />12.9 0 141 Ol <br />20 <br />200 86 <br />6 21 <br />_ 20 <br />771 29 <br />51 68 <br />20 <br />1297 7 143 93 <br />30 <br />270 21 <br />0 61` <br />d0 <br />779 77 <br />)2 89 <br />30 <br />1196 5 144 60 <br />40 <br />283 57 <br />1291 <br />7 01 <br />40 <br />788 26 <br />53 97 <br />40 <br />1300 3 146 79 <br />50 <br />92 <br />7 43 <br />00 <br />796 70 <br />)5 13 <br />50 <br />1314 0 148 75 <br />41 <br />300 28 <br />7 SG' <br />11G <br />800 25 <br />50 31 <br />26 <br />1922 8 100 71 <br />- 10 <br />1108 at <br />8 31 <br />10 <br />813 75 <br />57 o0 <br />10 <br />1931 6 102 60 <br />20 <br />111b 99 <br />8 76 <br />20 <br />81_2 25 <br />0b 70 <br />20 <br />1340 4 104 69 <br />30 <br />323 30 <br />U 23 <br />30 <br />830 76 <br />59 91 <br />40 <br />1349 2 150 "0 - <br />to <br />3d9 71 <br />9 71 <br />- 40 <br />839 27 <br />61 14 <br />40 <br />13.)8 0 108 73 <br />50 <br />342 08 <br />10,20 <br />50 <br />847 78 <br />62 38 <br />50 <br />1368 8 160 70 <br />1914 9 <br />324 1 <br />40 2531 1 <br />034 2 <br />40 <br />31-4 2 810 9 <br />00 <br />1963 6 <br />7 <br />900 J4 <br />30 711 <br />17 <br />800 30 <br />63 63 <br />27 <br />19"5 6 162 81 <br />10 <br />908 81 <br />11 22 <br />10 <br />Sb4 82 <br />64 90 <br />10 <br />13% 4 164 9b <br />20 <br />367 1; <br />11 71 <br />20 <br />b73 30 <br />6b 18 <br />20 <br />13UI 2 1111) 115 <br />30 <br />375 54 <br />12 291 <br />10 <br />8S1 S8 <br />67 47 <br />30 <br />1402 0 160 04 <br />40 <br />ib3 911 <br />12 8, <br />40 <br />890 41 <br />GS 77 <br />40 <br />1410 9 171 15 <br />50 <br />302 28 <br />l3 41 <br />50 <br />bus )7 <br />i0 09 <br />00 <br />1419 7 173 27 <br />K <br />400 66 <br />14 90 <br />18 <br />59 <br />28 <br />142b 6 175 41 <br />10 <br />409 03 ' <br />14 o3 <br />10 <br />916 03 <br />72 7G <br />10 <br />1437 4 177 50 <br />20 <br />417 41 <br />11-I8 <br />20 <br />024 58 <br />71 12 <br />20 <br />1446 3 179 72 <br />30 <br />420 79 <br />11 SO <br />30 <br />993 13 <br />70 49 <br />30 <br />14)1 1 181 SJ <br />40 <br />434 1, <br />16 43 <br />40 <br />941 09 <br />76 8G <br />40 <br />1444 0184 09 <br />10 <br />442 15 <br />17 07 <br />')0 <br />900 20 <br />i9 26 <br />00 <br />14"2 9 186 29 <br />9 <br />450 93 <br />17 -2 <br />19 <br />908 81 <br />79 67 <br />29 <br />1431 8 198 61 <br />10 <br />409 32 <br />18 Zb <br />10 <br />ON 38 <br />91 OU <br />10 <br />1490 7 190 ;4 <br />20 <br />4b7 71 <br />19 061 <br />20 <br />975 06 <br />82 13 <br />20 <br />1499 6 102 99 <br />30 <br />4"6 10 <br />19 11 <br />30 <br />984 53 <br />81 J- <br />0 <br />10115 0 191 25 <br />40 <br />484 49 <br />20 45 <br />40 <br />993 12 <br />b1 43 <br />40 <br />1117 4 197 W <br />50 <br />492 SS <br />21 lb <br />10 <br />1001 7 <br />86 90 <br />')0 <br />1)16 3 299 83 <br />10 <br />501 28 <br />21 89 <br />30 <br />1010 3 <br />83 90 <br />30 <br />1,9, 3 202 12 <br />10 <br />,09 68 <br />22 62 <br />10 <br />1013 9 <br />8) S9 <br />10 <br />104 2 204 44 <br />20 <br />518 08 <br />23 99 <br />10 <br />1017 -) <br />JI 40 <br />20 <br />1,1i 1 206 77 <br />30)26 <br />43 <br />14 14 <br />30 <br />1036 1 <br />91 '11 <br />0 <br />1061 1 209 12 <br />40 <br />111 b9 <br />24 9I <br />to <br />7 <br />94 4b <br />40 <br />1171 0 211 48 <br />00 <br />141 20 <br />I <br />) 70 <br />11044 <br />10 <br />103 3 <br />J6 01 <br />00 <br />i <br />Iiso U 213 86 <br />I <br />I <br />lI <br />1 <br />11 <br />I <br />I <br />TABLL 1V — Tatlgellt9 and Externals to a 10 Cul ve <br />An„lo I <br />tangent I <br />Extornal <br />Y An6le 11111e)lit <br />pY <br />I I -Nana] <br />II Angle 13anbent <br />I I xtenntil <br />310 <br />1589 0 <br />218 3 <br />410 2145 2 <br />997 a <br />110 <br />2333 9 018 4 <br />10 <br />I <br />1599 0 <br />219 7 <br />10 21,1 7 <br />390 7 <br />10 <br />I <br />2743 1 G22 8 <br />20 <br />1606 9 <br />211 1 <br />20 21111 2 <br />394 1 <br />20 <br />2703 4 62- 2 <br />30 <br />1010 9 <br />223 5 <br />30 2170 8 <br />997 4 <br />30 <br />2763 7 611 7 <br />40 <br />ION 9 <br />226 0 <br />40 2180 3 <br />400 8 <br />40 <br />27"3 9 63G 2 <br />50 <br />1833 9 <br />228 4 <br />50 2189 9 <br />404 2 <br />50 <br />2784 2 640 7 <br />3-1 <br />1043 0 <br />290 9 <br />421 2109 4 <br />40" 6 <br />112 <br />1794 5 040 2 <br />10 <br />1012 0 <br />213 4 <br />10 1309 0 <br />411 1 <br />10 <br />2304 9 649 7 <br />20 <br />1661 0 <br />23.)9 <br />20 2218 6 <br />414 5 <br />`20 <br />2911 2 604 3 <br />'o <br />10-0 0 <br />238 4 <br />t0 22-18 1 <br />419 0 <br />10 <br />2931 6 618 8 <br />40 <br />1079 1 <br />231 04 <br />40 2237 7 <br />421 4 <br />40 <br />2b 35 9 663 4 <br />50 <br />1689 1 <br />243 5 <br />)0 224; 3 <br />425 0 <br />o0 <br />2648 3 608 0 <br />33 <br />1607 2 <br />238 I <br />413 221 0 <br />423 5 <br />53 <br />2856 7 872 7 <br />10 <br />1706 3 <br />248 7 <br />10 2266 6 <br />412 0 <br />10 <br />2bb7 1 677 3 <br />20 <br />1710 d <br />201 3 <br />20 2276 2 <br />43) 6 <br />YO <br />2877 5 692 0 <br />30 <br />1724 4 <br />2-)3 9 <br />30 2285 9 <br />430 2 <br />30 <br />2888 0 ball 7 <br />40 <br />1-33 5 <br />206 0 <br />40 2291) 6 <br />442 8 <br />40 <br />2898 4 691 4 <br />50 <br />1742 6 <br />209 1 <br />i0 230, 2 <br />416 4 <br />50 <br />2908 9 896 1 <br />34 <br />1751 ' <br />261 8 <br />44 2311 9 <br />4,0 0 <br />54 <br />2919 4 100 9 <br />10 <br />1760 8 <br />164 o <br />10 2324 6 <br />t)3 6 <br />10 <br />2929 9 701 7 <br />20 <br />1770 0 <br />267 2 <br />20 2334 9 <br />407 3 <br />20 <br />2940 4 710 5 <br />30 <br />1779 1 <br />21,9 9 <br />30 2314 1 <br />4Gl 0 <br />30 <br />2951 0 715 3 <br />40 <br />1788 2 <br />272 6 <br />40 2303 8 <br />,64 6 <br />40 <br />'2-J61 5 720 1 <br />00 <br />1797 4 <br />270 3 <br />W 2303 5 <br />413 4 <br />W <br />2972 1 721 0 <br />35 <br />1806 6 <br />278 1 <br />45 2373 3 <br />472 1 <br />r95 <br />2982 7 729 9 <br />10 <br />1815 7 <br />280 8 <br />10 2993 1 <br />475 8 <br />10 <br />2993 9 714 8 <br />20 <br />18_'4 9 <br />293 6 <br />20 2392 9 <br />479 6 <br />20 <br />3003 0 739 7 <br />U <br />1934 1 <br />186 4 <br />30 3402 G <br />183 8 <br />30 <br />3014 5 744 6 <br />IU <br />lb -11 3 <br />2SO 2 <br />40 2412 4 <br />4S- 2 <br />40 <br />3020 2 749 6 <br />50 <br />1314 5492 <br />0 <br />d oO 2422 3 <br />401 0 <br />1 50 <br />3030 8 714 G <br />36 <br />1861 7 <br />494 9 <br />44 2432 1 <br />494 8 <br />56 <br />9040 5 700 6 <br />10 <br />1870 9 <br />297 7 <br />10 2111 9498 <br />7 <br />10 <br />3W7 2 764 h <br />10 <br />1390 1 <br />300 6 <br />20 2401 8 <br />502 1 <br />20 <br />8067 9 769 7 <br />30 <br />1889 4 <br />301 5 <br />30 2461 i <br />508 4 <br />90 <br />3078 7 7-4 7 <br />40 <br />IS08 G <br />90n4 <br />40 2471 5 <br />510 3 <br />40 <br />3089 4 779 8 <br />50 <br />1907 9 <br />309 3 <br />-)0 2181 4 <br />014 S <br />50 <br />8100 2 784 9 <br />37 <br />1917 1 <br />312 2 <br />47 249I 3 <br />518 2 <br />1173110 <br />9 790 1 <br />10 <br />1920 4 <br />311 2 <br />10 2501 2 <br />522 2 <br />10 <br />3121 7 79-) 2 <br />20 <br />1030 7 <br />318 I <br />20 2511 2 <br />o2b 1 <br />20 <br />91 U 6 800 4 <br />30 <br />1941 0 <br />921 1 <br />30 2121 1 <br />590 1 <br />90 <br />3143 4 800 6 <br />40 <br />1914 9 <br />324 1 <br />40 2531 1 <br />034 2 <br />40 <br />31-4 2 810 9 <br />00 <br />1963 6 <br />327 1 <br />o0 2541 0 <br />oJS 2 <br />50 <br />Star) 3 816 1 <br />48 <br />19"2 9 <br />330 1 <br />48 25ol 0 <br />-)42 2 <br />58 <br />3176 0 821 4 <br />10 <br />19b1 1 <br />973 2 <br />10 2561 0 <br />546 3 <br />10 <br />4186 9 82b 7 <br />20 <br />1J91 1 <br />316 3 <br />20 2071 0 <br />500 4 <br />20 <br />3197 3 832 0 <br />30 <br />20Un 9 <br />339 3 <br />30 2)bI 0 <br />504 ) <br />30 <br />3205 8 817 9 <br />40 <br />20102 <br />342 4 <br />40 2-)91 0 <br />508 6 <br />40 <br />3319 7 842 ' <br />50 <br />2019 6 <br />340 0 <br />00 2601 1 <br />062 8 <br />50 <br />3330 7 848 I <br />19 <br />2029 0 <br />34S G <br />49 2611 2 <br />566 9 <br />59 <br />9241 7 853 <br />10 <br />2015 4 <br />3,1)9 <br />10 2621 2 <br />571 1 <br />10 <br />9112 7 8,8 9 <br />20 <br />2047 S <br />104 9 <br />10 2631 3 <br />)7,) 9 <br />20 <br />3203 7 861 3 <br />30 <br />-10 j7 2 <br />308 1 <br />30 _'641 4 <br />579 0 <br />1 30 <br />92-4 8 869 8 <br />40 <br />1066 6 <br />301 9 <br />40 2651 5 <br />083 8 <br />40 <br />3290 8 810 3 <br />.10 <br />20-6 0 <br />364 5 <br />10 2661 6 <br />o88 0 <br />00 <br />3296 9 8808 <br />40 <br />2085 4 <br />36' 7 <br />50 2671 8 <br />502 1 <br />GO <br />3308 0 880 4 <br />10 <br />2091 u <br />371 0 <br />10 2681 0 <br />1911; 0 <br />10 <br />1119 1 802 0 <br />20 <br />2104 3 <br />1-4 2 <br />10 2b92 1 <br />600 0 <br />20 <br />3310 3 807 5 <br />10 <br />!119 6 <br />3"7 5 <br />30 2-02 <br />60, 3 <br />i0 <br />1941 4 001 2 <br />40 <br />2123 3 <br />ISO 9 <br />40 2"11 , <br />boo P <br />40 <br />11 i2 G 904 8 <br />10 <br />2111 7 <br />351 1 <br />I <br />00 2722 7 <br />614 0 <br />I <br />50 <br />t31 1 8 014 5 <br />