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TABLE IV - Tangents and Fxternals to a 10 Curve <br />Angle I Tangent I External II <br />Ingle I Tangent <br />I Extarnal <br />II Ingle <br />I Tangent I External <br />610 <br />33;1 0 <br />920 2 <br />710 <br />40�(, 9 <br />1303 2 <br />810 <br />4893 G 1805 3 <br />10 <br />3386 31 <br />921 9 <br />10 <br />I <br />4099 <br />1310 6 <br />10 <br />4909 0 1814 7 <br />I <br />20 <br />339; 0 <br />i b11 6 <br />20 <br />4112 1 <br />1322 9 <br />20 <br />4922 5 1624 1 <br />30 <br />X3408 8 <br />93; 3 <br />10 <br />4121 4 <br />1330 3 <br />30 <br />4937 0 1813 G <br />40 <br />3420 1 <br />943 1 <br />40 <br />4137 4 <br />1337 7 <br />40 <br />49i) 1 1343 1 <br />50 <br />3431 41 <br />948 9 <br />00 <br />Coo 1 <br />1340 1 <br />30 <br />4966 1 1912 b <br />62 <br />3442 7 <br />9a4 9 <br />72 <br />4162 8, <br />13,,2 6 <br />82 <br />4990 7 1862 2 <br />10 <br />944 1 <br />960 6 <br />10 <br />41", G <br />,1360 1 <br />10 <br />4990 4 13 1 8 <br />20 <br />31) 0 4 <br />96f 0 <br />20 <br />4188 , <br />1367 6 <br />20 <br />3010 0 1531 a <br />80 <br />3476 8 <br />972 4` <br />10 <br />4201 2 <br />13-0 2 <br />30 <br />5024 8 1391 2 <br />40 <br />3459 3 <br />, 9-9 3 <br />40 <br />4214 0 <br />1332 8 <br />40 <br />50119 5 1000 9 <br />50 <br />3499 7 <br />984 3 <br />60 <br />4226 6 <br />1390 4 <br />00 <br />0004 3 1910 7 <br />63 <br />3111 1 <br />990 2 <br />73 <br />4239 7 <br />1398 0 <br />83 <br />5069 2 1920 6 <br />10 <br />1,22 6 <br />996 2 <br />10 <br />4202 6 <br />140, 7 <br />- 10 <br />0054 0 1930 4 <br />20 <br />3,,34 1 <br />1002 3 <br />20 <br />426,5 6 <br />1413 <br />20 <br />5099 0 1910 3 <br />307 <br />arta 6 <br />100S 3 <br />30 <br />4578 6 <br />1421 2 <br />30 <br />1119 Q 1930 3 <br />40 <br />3 „7 2 <br />1014 4 <br />40 <br />4291 5 <br />1429 0 <br />40 <br />6128 Q 1960 2- <br />60 <br />3068 7 <br />1020 a <br />50 <br />4301 6 <br />1136 8 <br />60 <br />5143 9 19;0 3 <br />64 <br />3.,80 3 <br />1026 6 <br />74 <br />4317 6 <br />1444 6 <br />84 <br />51.)9 0 1980 4 <br />10 <br />3391 9 <br />1032 8 <br />10 <br />X4910 7 <br />14,2 0 <br />10 <br />5174 1 1990 1 <br />20 <br />3603 5 <br />.1099 0 <br />20 <br />4343 8 <br />1460 4 <br />20 <br />11S9 9 -0011 6 <br />.�--7 30 <br />3615 1 <br />11045 2 <br />, 30 <br />4356 9 <br />1468 4 <br />90 <br />o204 4 2011, 8 <br />n <br />,626 8 <br />1001 4 <br />40 <br />4370 1 <br />1476 1 <br />40 <br />0219 7 2U21 1 <br />0 <br />3633 5 <br />11017 7 <br />50 <br />, 4353 3 <br />1454 4 <br />_ <br />50 <br />3234 9 2031 4 <br />1100 <br />2 <br />JOC3-9 <br />73 <br />, 4396 5 <br />1492 4 <br />b5 <br />5250 3 2041_" <br />6216 4 <br />3661 9 <br />1070 2 <br />10 <br />4409 8 <br />Io00 5 <br />IO <br />5261 6 20j2_1 <br />50 <br />3673 7 <br />1076 6 <br />- 20 <br />4423 1 <br />1,04 G <br />20 i <br />3281 0 2062 , <br />/40 <br />363�) 4 <br />1062 9 <br />30 <br />443G 4 <br />1,16 7 <br />30 <br />52OG 4 20 3 0 <br />5993 3 <br />369; 2 <br />IOS9 3 <br />, 40 <br />4119 7 <br />1,)24 9 <br />40 <br />0311 9 1 2043 <br />10 <br />3709 0 <br />109, <br />50 <br />4463 1 <br />103 1 <br />i 00 <br />5327 4 2094 1 <br />3713 2 <br />3720 9 <br />1102 2 <br />76 <br />44-6 , <br />1541 4 <br />86 <br />51113 0 9164 ; <br />/06 <br />to <br />3732 7 <br />,11013 8 <br />10 : <br />4469 0 <br />1,49 7 <br />10 <br />o3ob 6 2113 3 <br />20 <br />3744 6 <br />111, 1 <br />20 <br />4,01 4 <br />I,S 0 <br />20 <br />5374 2 2126 0 <br />30 <br />376 1 <br />1121 7 <br />30 <br />,4 ,16 9 <br />1,66 3 <br />30 <br />X359 9 2136 7 <br />40 <br />371,8 5 <br />1128 2 <br />40 <br />4030 4 <br />I2-4 7 <br />40 <br />o405 6 2.3, 5 <br />60 <br />3780 4 <br />1134 8 <br />, 00 1 <br />4344 0' <br />1,59 1 <br />50 <br />5421 40 21aS 4 <br />67 <br />3-02 4 <br />1141 4 <br />77 <br />4,37 6 <br />1591 6 <br />S7 <br />5437 2 2169 2 <br />10 <br />3404 4, <br />1143 0 <br />_ 10 <br />4�,1 2 <br />1600 1 <br />10 <br />5403 1 21SO 2 <br />20 <br />3416 4 <br />11,4 7 <br />20 <br />4,,St 8 <br />IGOS G <br />20 <br />5469 0 2191 1 <br />30 <br />31,28 4 <br />11(,1 3 <br />30 <br />4093 0 <br />1617 l <br />30 <br />5484 0 2202 2 <br />40 <br />3940 0 <br />1168 1 <br />40 <br />4612 2 <br />1626 7 <br />10 <br />5500 9 2213 2 <br />50 <br />s <br />33x2 61 <br />1174 8 <br />50 <br />4626 0 <br />1634 4 <br />a0 <br />5,,17 0 2224 3 <br />68 <br />3864 7' <br />1181 6 <br />78 <br />4639 S <br />1643 0 <br />88 <br />5,)33 1 2231 , <br />10 <br />34,6 8 <br />1189 4 <br />10 <br />46,3 6 <br />16.)1 7 <br />10 <br />5049 2 2246 7 <br />20 <br />3Sb9 0 <br />1193 2 <br />20 <br />4667 4 <br />1660 " <br />20 <br />)56,j 4 2219 0 <br />30 <br />3901 2 <br />1202 0 <br />30 <br />46S1 3 <br />1669 2 <br />30 <br />5@81 6' 2269 9 <br />40 <br />1913 4 <br />1205 9 <br />40 <br />4695 2 <br />16's 1 <br />40 <br />,-,97 8 2211"0 6 <br />50 <br />3920 6 <br />1315 8 <br />1 60 <br />4709 2 <br />1G66 9 <br />50 <br />5614 2 2292 0 <br />69 <br />3937 9 <br />1222 i <br />79 <br />4723 2 <br />1695 8 <br />89 <br />690 5 2403 0 <br />10 <br />3950 2 <br />1229 7 <br />10 <br />473" 2 <br />1704 7 <br />10 <br />3646 0 231) 0 <br />20 ' <br />39G2 a <br />1236 7 <br />20 <br />9711 2 <br />1"13 7 <br />20 <br />1 a6bl 4 232, 6 <br />30 <br />1974 8 <br />1249 7 <br />30 <br />4,60 3 <br />1712 7 <br />30 <br />0619 4 2315 " <br />40 <br />3987 2 <br />1250 8 <br />40 <br />4""0 4 <br />1,31 7 <br />40 <br />j696 4 2349 8 <br />60 <br />3999 a <br />Lal 9 <br />30 <br />4793 G <br />1710 S <br />,0 <br />3;13 0 2361 0 <br />70 <br />4011 9 <br />126@ 0 <br />SO <br />460; " <br />1749 9 <br />90 <br />3729 7 .2373 3 <br />10 <br />4024 4 <br />1272 1 <br />10 <br />4322 0 <br />1739 0 <br />10 <br />�-74G 3 23S5 1 <br />20 <br />4036 8 <br />1279 3 <br />20 <br />4S36 2 <br />1-65 2 <br />20 <br />0 6i 1 2997 0 <br />30 ' <br />4049 3 <br />12Sb 5 <br />30 <br />4b-)0 e <br />1777 4 <br />30 <br />a'"0 9 2408 9 <br />40 <br />4061 8 <br />1293 6 <br />40 <br />4S64 S <br />I7S6 " <br />40 <br />I 379E , 2420 0 <br />00 <br />40;4 4 <br />1300 0 <br />00 <br />4S,9 2 <br />1-96 0 <br />I <br />00 <br />1913 6 24.32 0 <br />ml <br />T113LE 1V - Taugents and E�.tcinals to a 1° Culve <br />A 161c I <br />Tangen' I Eternal I <br />Ingle I Dnb Wlt I <br />1 Nth 1110 II <br />�1 <br />1nl,lc I Ting, nt I <br />Fxtemil <br />910 <br />,5;0 , + <br />5444 9 <br />1010 <br />b9o0 6 <br />3218 1 <br />1110 <br />8336 7 <br />4198 1 <br />10 <br />094- I <br />24 o7 1 <br />10 <br />1 3 <br />I <br />3241 1 <br />10 <br />i <br />6.,62 7 <br />4407 b <br />20 <br />1364 6 <br />246) 9 <br />20 <br />6912 0 <br />3310 i <br />20 <br />S3S8 9 <br />4420 2 <br />30 <br />;SSt 7 <br />2451 5 <br />30 <br />-012 7 <br />332G 1 <br />30 <br />8411 1 <br />4400 9 <br />40 <br />ab9S 3 <br />2493 8 <br />40 <br />"013 6 <br />3342 3 <br />40 <br />8411 0 <br />14-2 7 <br />50 <br />0916 0 <br />2aOG 1 <br />50 <br />'0,4 i <br />41,5 0 <br />00 <br />8469 0 <br />4404 6 <br />9.: <br />5933 2 <br />2319 5 <br />102 <br />707 5 <br />93,4 9 <br />112 <br />9194 6 <br />4516 6 <br />10 <br />aQDO 5 <br />2031 0 <br />10 <br />-096 6 <br />3391 2 <br />10 <br />Sol 3 <br />4o3S S <br />20 <br />5907 9 <br />2oll 5 <br />20 <br />-il- 8 <br />3407 7 <br />20 <br />3-)48 1 <br />4301 1 <br />30 <br />o95, 3 <br />2,)11, 0 <br />30 <br />"139 0 <br />3424 3 <br />30 <br />S>11 0 <br />41-,; 4 <br />40 <br />6002 ; <br />20bS 6 <br />40 <br />7100 3 <br />3440 9 <br />40 <br />13602 1 <br />46UG 0 <br />a0 <br />GO -0 2 <br />2181 3 <br />50 <br />7191 7 <br />343- 6 <br />50 <br />8629 3 <br />462S 6 <br />8 3 <br />603, 8 <br />2094 0 <br />103 <br />7203 2 <br />3174 4 <br />113 <br />86,b b <br />4631 3 <br />10 <br />coo 4 <br />21fu6 S <br />10 <br />7224 7 <br />,491 3 <br />10 <br />8694 0 <br />4674 2 <br />20 <br />60 1 1 <br />^619 7 <br />20 <br />724u 3 <br />31116 2 <br />20 <br />S 11 5 <br />4697 2 <br />30 <br />6090 8 <br />2632 6 <br />30 <br />;26S 0 <br />1,2- 2 <br />30 <br />9-,9 2 <br />4-20 4 <br />40 <br />6106 6 <br />2040 5 <br />40 <br />;259 8 <br />3,12 4 <br />10 <br />b"6 0 <br />4743 6 <br />10 <br />o12n 4 <br />26,9 5 <br />10 <br />^311 7 <br />30,9 6 <br />00 <br />8794 0 <br />47Gb 9 <br />94 <br />61,4 3 <br />2671 6 <br />1044 <br />ill 6 <br />337b 8 <br />111 <br />8822 9 <br />4790 4 <br />10 <br />6162 (I <br />2114 7 <br />10 <br />;i), 6 <br />3504 2 <br />10 <br />95,,1 0 <br />4514 1 <br />20 <br />6150 2 <br />2697 9 <br />20 <br />737 9 <br />3611 7 <br />20 <br />8979 9 <br />49 7 3 <br />10 <br />6198 3 <br />2711 2 <br />30 <br />7399 9 <br />3629 2 <br />10 <br />8907 <br />4y,1 <br />40 <br />6216 4 <br />2724 5 <br />40 <br />-422 2 <br />3646 8 <br />40 <br />893G 3 <br />4363 <br />50 <br />6231 6 <br />2,37 9 <br />30 <br />7444 6 <br />3664 5 <br />3G <br />SOG1 0 <br />4909 <br />95 <br />6212 8 <br />2751 9 <br />105 <br />7467 0 <br />3GS 2 3 <br />115 <br />5993 3 <br />4931 1 <br />10 <br />b2-1 I <br />2;64 9 <br />10 <br />7.439 6 <br />3700 2 <br />10 <br />9022 7 <br />49,S G <br />20 <br />6289 4 <br />2773 3 <br />20 <br />7512 2 <br />3713 2 <br />20 <br />90,1 7 <br />4953 1 <br />30 <br />6307 9 <br />2792 0 <br />30 <br />7,544 9 <br />3;36 2 <br />30 <br />00367 9 <br />)007 3 <br />40 <br />6326 3 <br />2SU, 6 <br />40 <br />7007 7 <br />31x4 4 <br />40 <br />1)110 t <br />,032 6 <br />00 <br />6344 8 <br />281) 4 <br />00 <br />7x30 o <br />3772 6 <br />a0 <br />9139 S <br />JUJ- G <br />96 <br />6361 4 <br />2533 2 <br />106 <br />7603 5 <br />3;91 0 <br />116 <br />9169 4 <br />5092 " <br />10 <br />G192 l <br />2S47 0 <br />10 <br />7626 G <br />-W) 4 <br />10 <br />9199 1 <br />010" 9 <br />20 <br />0400 8 <br />2SG1 0 <br />20 <br />7b f9 7 <br />3b27 9 <br />20 <br />9229 0 <br />a133 3 <br />30 <br />6419 5 <br />25', 0 <br />1 30 <br />76-2 9 <br />3946 a <br />30 <br />921Q 0 <br />5128 3 <br />40 <br />6438 4 <br />2589 0 <br />40 <br />;696 3 <br />Ma 2 <br />40 <br />9259 2 <br />.,184 0 <br />50 <br />64x7 3 <br />2903 1 <br />50 <br />7719 7 <br />3684 0 <br />50 <br />9319 o <br />x210 3 <br />97 <br />6476 2 <br />2917 3 <br />107 <br />7743 2 <br />3902 9 <br />117 <br />9319 9 <br />6236 2 <br />10 <br />G491 2 <br />2931 6 <br />10 <br />7766 8 <br />39-111 9 <br />10 <br />9380 a <br />521-1 3 <br />20 <br />6,14 9 <br />294,, 9 <br />20 <br />7790 5 <br />3940 9 <br />20 <br />9411 3 <br />�23S 6 <br />30 <br />6x33 4 <br />2960 3 <br />30 <br />7314 3 <br />3900 1 <br />30 <br />9412 2 <br />31) 0 <br />40 <br />Gaal 6 <br />2974 7 <br />40 <br />ills 1 <br />3970 4 <br />40 <br />9473 2 <br />5341 a <br />a0 <br />65-11 9 <br />2989 2 <br />60 <br />7862 1 <br />3995 7 <br />50 <br />9504 4 <br />536S 2 <br />98 <br />G191 2 <br />3003 8 <br />108 <br />7836 2 <br />4015 2 <br />118 <br />9a3a 7 <br />o39a 1 <br />10 <br />6C10 6 <br />3018 4 <br />10 <br />7910 4 <br />4037 8 <br />10 <br />93G7 2 <br />5422 1 <br />20 <br />6630 1 <br />3033 1 <br />20 <br />7934 G <br />107 4 <br />20 <br />9099 9 <br />1449 2 <br />30 <br />6649 6 <br />3047 9 <br />30 <br />79,9 0 <br />4077 2 <br />30 <br />90'0 , <br />a476 a <br />,40 <br />6669 2 <br />3082 8 <br />40 <br />7953 5 <br />4097 1 <br />40 <br />9602 6 <br />a,04 0 <br />50 <br />Gb38 9 <br />3077 7 <br />50 <br />8009 0 <br />4117 0 <br />a0 <br />9691 7 <br />,)131 7 <br />99 <br />6703 8 <br />3092 - <br />109 <br />5032 7 <br />4137 1 <br />119 <br />9727 0 <br />5059 4 <br />10 <br />6728 4 <br />3107 7 <br />10 <br />800; 4 <br />41,7 3 <br />10 <br />9719 4 <br />oa57 4 <br />20 <br />674S 2 <br />4122 9 <br />20 <br />SOS2 3 <br />41,7 5 <br />20 <br />9,92 0 <br />DG15 5 <br />30 <br />8-164 1 <br />3133 1 <br />30 <br />8107 3 <br />4197 9 <br />30 <br />9124 8 <br />x641 8 <br />40 <br />6758 1 <br />3103 3 <br />40 <br />8132 3 <br />4215 4 <br />40 <br />95,7 7 <br />7672 3 <br />00 <br />oSOS 2 <br />4168 7 <br />00 <br />815- 5 <br />4239 0 <br />50 <br />9890 8 <br />1,00 9 <br />100 <br />6925 3 <br />3154 1 <br />110 <br />8182 8 <br />43)9 - <br />120 <br />9924 0 <br />0720 7 <br />10 <br />63413 <br />3199 6 <br />10 <br />8°OS 2 <br />4296 5 <br />10 <br />9951 5 <br />o 1)3 8 <br />20 <br />69(1s 8 <br />.,-'l0 1 <br />20 <br />8233 7 <br />4301 4 <br />20 <br />9991 0 <br />'06989 <br />2 <br />3230 S <br />30 <br />S21Q 9 <br />4322 4 <br />30 <br />100_', 0 <br />all- 0 <br />40 <br />6909 6 <br />1246 i <br />40 <br />( 8280 0 <br />434 3 6 <br />40 <br />100.,9 0 <br />I ob4G 5 <br />10 <br />6930 1 <br />I <br />3262 3 <br />50 <br />Ij 8310 8 <br />4364 8 <br />50 <br />10093 0 <br />3S76 1 <br />v � <br />