|
r' (
<br />c TABLE IV - Taugents and Extornals to a,le C1uve
<br />.Ingle
<br />TangentExternal
<br />I'
<br />t1
<br />d Ingle
<br />Tangent
<br />I U\telllal
<br />r
<br />Angle
<br />, 1
<br />I Tanbent
<br />External
<br />1°� 1
<br />5U 00 ,
<br />, -22
<br />11°�
<br />^o01 70
<br />2G 70�
<br />-21°�f
<br />1061 9
<br />9 �7
<br />101,1
<br />53 34-
<br />r r 30
<br />10�
<br />)G0 11
<br />_ 2, 3l20
<br />`.I
<br />1070 8 ,
<br />0' Ib
<br />- 20
<br />- 60 G7
<br />39
<br />20
<br />068 53
<br />28 14
<br />Ol
<br />18710
<br />9 2
<br />100 ,3
<br />30 1
<br />- 75 01
<br />1 49
<br />30
<br />576 D0
<br />28 97 ,
<br />30
<br />10S7 8
<br />102 35
<br />• 40
<br />"
<br />83 34
<br />+ G1
<br />, 40
<br />- o8a 3G
<br />+29 92
<br />_ 40
<br />^1090 I
<br />103 97
<br />50
<br />91 68
<br />, 73
<br />n 50 ,
<br />593 79
<br />'30 68
<br />60
<br />1105 1
<br />100 60
<br />'3 7
<br />- 100 D1'
<br />X87 I
<br />12 L
<br />, 602 21
<br />t31 56
<br />22
<br />-,1113 7
<br />10, 24
<br />]0 b
<br />106 30
<br />1 02
<br />10
<br />010 84
<br />32 40 1
<br />10
<br />1122 4
<br />106 90
<br />,
<br />' 2D'
<br />']1G'f48�
<br />1`19'
<br />20
<br />619 07,
<br />133'35 r
<br />' 20 C
<br />=11310
<br />,110 a,
<br />30 `
<br />'12, 02
<br />1 36
<br />-30
<br />62, 50
<br />34 26
<br />- 90
<br />v
<br />1139 7
<br />112 2,
<br />r "40
<br />"133 36
<br />'-1 �a"
<br />--40-
<br />"0 5 93'
<br />-11'18-
<br />` ' 40'_
<br />1148 4
<br />113 91
<br />00
<br />141 70 f
<br />,,q] 71�-
<br />Pr p60,
<br />� tl44 37
<br />1,36 12
<br />100 4'
<br />Ila? 0
<br />115 GG
<br />" 3
<br />"150 04"
<br />1 90-
<br />'13 "'
<br />0,,2"81
<br />37 U7
<br />,23
<br />1165 7
<br />117 88
<br />10
<br />159 38
<br />2 19
<br />1 ,10
<br />661 25
<br />35 03-
<br />lO n
<br />1174 4
<br />119 12
<br />' 20 `
<br />106 72'
<br />2 X13
<br />( 20
<br />600 70
<br />30 01 ''
<br />20--
<br />1183' 1
<br />120 87
<br />30
<br />170 06
<br />- 2 G7
<br />30
<br />G,8 15
<br />39 99
<br />30�
<br />1191 8
<br />122 63
<br />r 40
<br />,
<br />"183'40
<br />2 93
<br />40
<br />666 60
<br />40 99,
<br />40
<br />1200 5
<br />124 41
<br />150
<br />191 74
<br />' 3 21
<br />50
<br />695 06
<br />42 00
<br />30
<br />1209 2
<br />120 90
<br />ry125
<br />4
<br />200 08_3
<br />49
<br />14
<br />-03 61
<br />43T03
<br />24
<br />1217 9
<br />00
<br />10
<br />208 43 1
<br />r' 3 791
<br />1 ' 10
<br />711 97
<br />44 07
<br />10
<br />1226 6
<br />129 82
<br />20'
<br />210',7 `
<br />4-10 '
<br />`"`20'
<br />720 44
<br />45 12
<br />' 20
<br />1235 3
<br />'131 60
<br />'30 ,
<br />i 220 12
<br />- 4 42
<br />1 90
<br />28 90'
<br />1 46 18
<br />30 ,
<br />' 1244 0
<br />133 a0
<br />40 ,
<br />293 47
<br />, 4 76'
<br />' 14C
<br />-37 37
<br />47 25
<br />, 40
<br />) 1232 8
<br />,13, I,
<br />60
<br />241 81
<br />5 10
<br />50
<br />_ 743 65
<br />48 34
<br />_ 50
<br />1261 5
<br />137 23
<br />G 1p '
<br />1 250 16
<br />"� 5 46
<br />°15,
<br />744 32
<br />'49 44
<br />25 1
<br />1270 2
<br />139 11
<br />10
<br />1 258 01
<br />"5 83
<br />( to
<br />562 80
<br />50 55
<br />1 10
<br />1279 0
<br />141 01'
<br />20
<br />266186
<br />8 2l'
<br />^0
<br />771 29
<br />0l s 68,
<br />°� 20
<br />1257 7
<br />X142 03
<br />30 '
<br />- 270 21
<br />6 61
<br />30
<br />-779 77
<br />+'52 89
<br />X53
<br />30
<br />1296 5
<br />144 85
<br />40 1
<br />283 07
<br />7 Ol r
<br />40
<br />588' 26
<br />t 97
<br />"" 40`
<br />1305 3
<br />146 79
<br />50
<br />291 92
<br />1 7
<br />1 2
<br />`'r 50
<br />7% 70
<br />-60 13
<br />r
<br />1314 0
<br />148 75
<br />8
<br />300 28
<br />i
<br />Ei SG .
<br />'18�
<br />SOo 25
<br />56 31
<br />-r 150
<br />26 (.'
<br />1322 8 ,
<br />160 71
<br />30
<br />308 64
<br />1,8 31
<br />7 1 10
<br />813 73
<br />15, 50
<br />10.
<br />1331 G
<br />152 09
<br />20
<br />116 99
<br />8 161
<br />120
<br />822 20
<br />158 70
<br />20
<br />1940'4
<br />154 69
<br />- 30
<br />333 35
<br />719'23
<br />1 30
<br />830 76
<br />59 91
<br />30 ,
<br />1349 2.
<br />156 70
<br />40
<br />313 ,1
<br />' 1 9 71
<br />140
<br />639 27
<br />61 14
<br />40
<br />1346 0
<br />158 72
<br />3U
<br />342 08
<br />10'20
<br />160
<br />-64, 78
<br />62 38
<br />50
<br />1366 8
<br />160 76
<br />7
<br />350 '44
<br />10 71 -
<br />171
<br />-
<br />856 30
<br />63 G3
<br />27
<br />13,5 G
<br />1G2 81
<br />i 10 ,
<br />30b bl
<br />11 22
<br />1 10
<br />SGA 82
<br />G4 90
<br />10
<br />1354 4
<br />164 86
<br />20
<br />3G, 17
<br />11 7.
<br />- 1 20
<br />6,3 3,
<br />66 18
<br />20
<br />1993 2
<br />'166 93
<br />30
<br />170 a4-
<br />12 29
<br />' 190
<br />631 88
<br />Ge 47
<br />30
<br />1402 0
<br />1109 01
<br />40
<br />6183 91
<br />12 83
<br />40
<br />690 41,
<br />GS 77,
<br />40
<br />1110 9
<br />171 15
<br />r 50
<br />392 28
<br />13 41
<br />150
<br />698 90,
<br />-0 09
<br />00
<br />1419 7
<br />178 27
<br />8
<br />400 66
<br />13 99
<br />1S, 1
<br />907 49
<br />71 42
<br />2S
<br />1408 6
<br />175 41
<br />10
<br />409 03
<br />- 14 iS
<br />1 10
<br />_ 010 03
<br />72 96
<br />10
<br />1437 4
<br />'177 05
<br />20-
<br />417 41
<br />15 IS
<br />,20
<br />024 08
<br />74 12
<br />20
<br />1446 3
<br />179 ,2
<br />30
<br />423 ,0 3
<br />15 80
<br />+30
<br />933 13
<br />-, 49
<br />90
<br />140, 1
<br />181 69
<br />40
<br />434 17
<br />�1G 43
<br />3G1 3
<br />041 69
<br />16 b6
<br />40
<br />H64 0
<br />184 09
<br />c 50
<br />442 50
<br />17 07
<br />,40
<br />50
<br />940 20
<br />78 26
<br />00
<br />14,2 9
<br />186 29
<br />9
<br />400 99
<br />17 72 1
<br />19'
<br />Bos Sl
<br />79 67
<br />29
<br />1451 8
<br />188 51
<br />10
<br />449 32
<br />18 38
<br />,10
<br />967 38
<br />81 0930
<br />20
<br />1490 7
<br />190 ,4
<br />207
<br />467 1
<br />19 06
<br />- 420
<br />9,a 9b
<br />82 a3
<br />20
<br />1499 6
<br />192 99 >
<br />30
<br />476 10
<br />19 ,5
<br />10
<br />US4 -)3
<br />bi 97
<br />30
<br />]AS 5
<br />190',
<br />40
<br />484 49
<br />20 45
<br />40
<br />993 12
<br />1 S3 43
<br />40
<br />1317 4
<br />19- 33
<br />50
<br />492 88
<br />21 16
<br />;50
<br />1001 7
<br />86 90
<br />00
<br />1,25 3
<br />199 82
<br />LO
<br />501 28
<br />21 89
<br />20
<br />1010 9
<br />88 39
<br />t0
<br />1 ,303
<br />202 12
<br />10
<br />409 68
<br />22 62
<br />10
<br />1010 9
<br />S9 39
<br />]0
<br />1344 2
<br />204 44
<br />20
<br />0,18 09
<br />23 39
<br />20
<br />101, 5
<br />01 40
<br />20
<br />_
<br />1113 1
<br />206 ,7_
<br />30
<br />k26 48
<br />24 14
<br />3010'14
<br />1
<br />9_1 92
<br />,8
<br />11b2 1
<br />209 12
<br />40
<br />431 89
<br />21 91
<br />40
<br />7
<br />94 46
<br />40
<br />13,1 0
<br />211 49
<br />00
<br />043 20
<br />20 70
<br />50
<br />11044
<br />10,3 3
<br />9G 01
<br />A
<br />150',0
<br />213 SG
<br />a
<br />,
<br />TABLE'IV - Tangents ind E%terwih to 3 18 Curve
<br />Angle I
<br />rsngont I
<br />Fxternal
<br />Anglo Tangent I
<br />lxternal
<br />Angle
<br />Tangent I
<br />External
<br />310
<br />89 0 r
<br />21b 3
<br />410 2142 2
<br />387 4
<br />51°
<br />2732 9
<br />618 4
<br />10 11
<br />1098 0 ,
<br />,218 7
<br />10 2101 7 1
<br />190 7
<br />10
<br />2743 1 '
<br />622 8
<br />20
<br />1606 9
<br />221 1
<br />v - 20 2161 2 1
<br />394 1
<br />- 20
<br />27x3 4
<br />627 2
<br />30 ]
<br />1615 9
<br />223 5
<br />30 21 0 8
<br />307 4
<br />30
<br />2,63 7
<br />631 7
<br />90 '
<br />1624 9
<br />226 0
<br />- 40 t 2180 3
<br />400 8
<br />F- 401
<br />27,3 9
<br />63G 2
<br />60 i
<br />p633 9 I
<br />228 4
<br />( 50 I 2189 9
<br />404 2
<br />C 50 1
<br />`2,84 2
<br />`2,94
<br />640 7
<br />32
<br />1633 0
<br />260 9
<br />42 2109 4
<br />407 6
<br />52
<br />5
<br />845 2
<br />lU
<br />'1552 0
<br />1233 4
<br />10 x2'00 0
<br />411 1
<br />10
<br />2501 9
<br />b,49 7
<br />20
<br />1661 0
<br />231 9
<br />1 20 2119 6
<br />414 5
<br />t, 20
<br />28h 3
<br />G04 3
<br />i0
<br />1670 0 I
<br />42 S 4
<br />_ 30 1_12 1
<br />418 0
<br />30
<br />2923 6
<br />G,8 8
<br />40 ,
<br />16779 1
<br />241 0
<br />< 40 223, 7
<br />421 4
<br />40
<br />12511 9�
<br />661 4
<br />50
<br />1633 1
<br />243 5
<br />A + 00 2247 3
<br />425 0
<br />a0
<br />2846 3
<br />0
<br />33
<br />1697 `2
<br />246 1
<br />43 22x7 0
<br />428 5
<br />53
<br />29,6 7
<br />qG68
<br />`1672 7
<br />10
<br />1706 3
<br />,24S 7
<br />10 2216 6
<br />1412 0
<br />10
<br />286, 1
<br />677 3
<br />20
<br />171-) 3
<br />201 3
<br />20 22 b 2
<br />411 G
<br />°0
<br />23„ 5
<br />6S2 0
<br />30
<br />1724 4
<br />12x3 9
<br />30 2250 9
<br />4 3U 2
<br />' 30
<br />2595 0
<br />686 7
<br />40
<br />1733 6
<br />2d3 5
<br />. 540 22), G
<br />442 8
<br />` '40
<br />2698 4
<br />691 4
<br />50
<br />1742 6
<br />209 1
<br />000 23U, 2
<br />F44G 4
<br />d 38
<br />2909 9
<br />G96 1\
<br />34
<br />1751 7
<br />201'8
<br />r
<br />1/ , 2314 9 t
<br />450 0
<br />54
<br />2919 4
<br />700 9
<br />10
<br />1760 8
<br />261 5
<br />10 232+ 6
<br />t41l G
<br />t0
<br />2g29 0
<br />705 7
<br />20
<br />,1770 0
<br />267 2
<br />20 2114 3
<br />143- 3
<br />, '0
<br />2940 4
<br />710 5
<br />30
<br />1179 1
<br />269 0
<br />,30 2144 1
<br />1461 0
<br />- w 10
<br />2911 0
<br />715 3
<br />40
<br />17SS 2
<br />2,2 6
<br />40 23,1 8
<br />14(14 b
<br />40
<br />2961 5
<br />720 1
<br />50
<br />1797 4
<br />2-5 9
<br />00 2303 5
<br />'409 4
<br />30
<br />2972 1
<br />725 0
<br />33
<br />1806 6
<br />2-8 1
<br />15 r 2313 3
<br />472 1`
<br />51
<br />2992 7
<br />729 9
<br />10
<br />1610 7
<br />290 8
<br />10 2353 1
<br />`4-5 8
<br />10
<br />21)91 9
<br />Sit 8
<br />20
<br />1824 0
<br />253 6
<br />20 2342 8
<br />479 6
<br />1 N
<br />3003 9
<br />739 7
<br />30
<br />1S341
<br />,286 4
<br />' ..30 2402 G
<br />431 8
<br />90
<br />9914 5
<br />44 6
<br />40
<br />1843 9
<br />259 2
<br />r X40 241.1 4
<br />487 2'
<br />= 1 40
<br />3021 2
<br />749 6
<br />10
<br />1802 a
<br />1292 0
<br />t 30 2422 3
<br />491 0
<br />00
<br />9031 8
<br />734 b
<br />36
<br />1861 7
<br />201 9
<br />46 2432 1
<br />494 8'
<br />56
<br />3046 5
<br />759 6
<br />10
<br />16-0 0
<br />297 7
<br />10 2441 9
<br />498 7
<br />10
<br />30o7 2
<br />764 6
<br />20
<br />1S90 1
<br />100 6,
<br />0 24,1 8
<br />302 5
<br />i 20
<br />306, 9
<br />709 7
<br />30
<br />18,119 1
<br />301 5
<br />30 2401 7
<br />000 4
<br />30
<br />30-8 7
<br />774 7
<br />40
<br />ISUB 6
<br />306 4
<br />40 24,1 5
<br />aI0 3
<br />_ 40
<br />9059 4
<br />779 8
<br />60
<br />11307 9
<br />309 3
<br />10 21S1 t
<br />014 3
<br />10
<br />3100 2
<br />784 9
<br />37 ,
<br />1917 1
<br />312 21
<br />47 ' 2491 3
<br />018 2
<br />-37
<br />3110 0
<br />790-1
<br />10
<br />026 4
<br />315 3
<br />10 2,01 2
<br />)22 2
<br />10
<br />3121 7
<br />195 2
<br />20
<br />I9 0 7
<br />31S 1
<br />20 2311 2
<br />,26 1
<br />20
<br />9132 G
<br />S00 4
<br />90
<br />1940 0
<br />3'1 1
<br />, 10 2311 1
<br />130 1
<br />+ 30
<br />3143 4
<br />SU, b
<br />40
<br />19H4 3
<br />3'4 1
<br />10 2,31 1
<br />-)34 2
<br />40
<br />31 a4 2
<br />810 9
<br />a0
<br />1963 6
<br />321 1
<br />t_ ,,0 tall 0
<br />133 2
<br />00
<br />3IGO l
<br />slo 1
<br />38
<br />1972 9
<br />940 2
<br />48 2401 0
<br />o42 2
<br />58
<br />31,11 0
<br />821 4
<br />30
<br />1082 2
<br />363 2
<br />-, 10 2061 0
<br />,4G 3
<br />+ 10
<br />9196 9
<br />826 7
<br />20
<br />1991 a
<br />336 3
<br />20 20,1 0
<br />50 4
<br />N
<br />31(K 8
<br />832 U
<br />30
<br />2000 0
<br />119 3
<br />t0 20 0
<br />354 5
<br />'0
<br />3205 8
<br />637 3
<br />40
<br />2010 2
<br />942 4
<br />-A 2,91 0
<br />053 6
<br />, 40
<br />3219 7
<br />842 7
<br />,)0
<br />2019 6
<br />344 5
<br />00 2601 1
<br />062 8
<br />10
<br />3230 7
<br />B48 1
<br />39
<br />2029 0
<br />34S 6
<br />49 2611 2
<br />066 9,
<br />59
<br />9241 7
<br />85315
<br />10
<br />2038 4
<br />9,1 8
<br />10 26)1 2
<br />,71 1
<br />10
<br />3202 7
<br />603 9
<br />20
<br />>047 8
<br />1A 9
<br />20 2131 3
<br />075 3
<br />20
<br />32G3 7
<br />864 3
<br />30
<br />2057 2
<br />3,b 1
<br />30 2G41 4
<br />079 5
<br />30
<br />33,4 8
<br />869 8
<br />40
<br />2066 6
<br />3G1 3
<br />40 26,1 5
<br />1S3 8
<br />ID
<br />3_180 8
<br />875 3
<br />,0
<br />2070 0
<br />3G4 5
<br />0 2661 6
<br />088 0
<br />00
<br />3296 9
<br />680 3
<br />40
<br />2085 4
<br />3G77
<br />30 26,1 8
<br />,92 9
<br />bu
<br />3303 0
<br />BSG 4
<br />10
<br />2094 9
<br />9,1 0
<br />10 26S1 9
<br />a9G 6
<br />1D
<br />3319 1
<br />842 0
<br />20
<br />2101 3
<br />3,4 2
<br />10 2G92 1
<br />600 0
<br />20
<br />9390 9
<br />897 5
<br />30
<br />2113 8
<br />3,7 5
<br />90 2,0' 3
<br />f0-1 1
<br />t0
<br />3341 4
<br />903 2
<br />40
<br />2123 3
<br />190 9
<br />40 2711 51
<br />609 I
<br />40
<br />393I, 6
<br />903 8
<br />,0
<br />21 32 7
<br />384 1
<br />,0 2, " 7
<br />614 0
<br />10
<br />3363 3
<br />914 5
<br />r.faia
<br />
|