|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int•
<br />Angle
<br />Tangent
<br />External
<br />` Int.
<br />Angle
<br />Tangent
<br />External
<br />1°
<br />50.100:
<br />',-'.22"
<br />", S° -
<br />•400.66
<br />i3.99'
<br />15°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />762.80
<br />50.55
<br />20
<br />66:67r:39:
<br />.005
<br />20 ;
<br />417:41-
<br />;'15:18
<br />', 20'.:771.29
<br />.25
<br />51.68
<br />30
<br />75.01;=
<br />':.49
<br />"30
<br />425:79
<br />15.80
<br />% 30 "
<br />779.77
<br />52.82
<br />40
<br />83.34
<br />.61
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.26
<br />53.97
<br />50
<br />91.68
<br />-: " .73-
<br />50
<br />442.55
<br />17.07.
<br />50
<br />796:75-
<br />'55.13
<br />2 .,
<br />`100.01.'
<br />.87
<br />'9.
<br />' 450.93•-:
<br />17.72
<br />16
<br />505.25
<br />56.31
<br />10',
<br />108.35
<br />1.02
<br />10.
<br />'459:32
<br />'_18.38
<br />10
<br />813.75
<br />57.50
<br />•20
<br />416.68
<br />;.1.19:
<br />' ' 20
<br />467.71
<br />19.06
<br />20
<br />822.25
<br />58.70
<br />.':30:
<br />.125.02
<br />1.36
<br />30:
<br />476:10-
<br />19.75':
<br />30
<br />830.76
<br />59.91
<br />•.40
<br />133.36
<br />1:55
<br />40,
<br />484.49
<br />20.45
<br />'} 40 '
<br />839.27•
<br />61.14
<br />50'
<br />.141.70
<br />1.75
<br />50
<br />492.88
<br />21.16
<br />'50
<br />847.78
<br />62.38
<br />3-
<br />'150.04
<br />1.96'
<br />• 10 ',
<br />501.23''
<br />21:89
<br />-17 '•
<br />856.30
<br />..63.63
<br />10
<br />•758.38.
<br />•2.19,
<br />- 10
<br />509.6&
<br />22.6210
<br />';'10
<br />864.82,
<br />64.90
<br />20
<br />166.72
<br />2.43
<br />20
<br />518.08'-
<br />23:38.,;'.
<br />20 .
<br />573.35•
<br />:66.18
<br />30
<br />175.06
<br />2.67
<br />30
<br />,526.48
<br />24.14
<br />30 .
<br />881.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />6534.89
<br />.. 24.91
<br />40
<br />890.41
<br />68.77
<br />50
<br />191,74
<br />3.21
<br />50
<br />543.29
<br />25.70
<br />50
<br />898.95
<br />70.09
<br />`25
<br />1270.2
<br />139:11
<br />32:
<br />1643.0
<br />236.9
<br />39.
<br />2029:0;
<br />A
<br />200:08
<br />- 3.49
<br />-li`
<br />-551.70
<br />•726:50•
<br />18."
<br />90749-:
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560.11
<br />27.31
<br />10 .`916.03:•
<br />2047.8•
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />20"
<br />568.53
<br />28.14
<br />20.,
<br />924.58
<br />74.12
<br />30
<br />225.12
<br />4.42.
<br />30 .,
<br />576.95.:
<br />t.28.9Z'
<br />^3 30-
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76"
<br />40-
<br />585.36
<br />;'29:82
<br />^'th 40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />5.10
<br />50
<br />593.79
<br />30.68
<br />'50
<br />950.25
<br />78.26
<br />16
<br />1331.6
<br />152.69
<br />---.10
<br />.1706.3
<br />248.7
<br />10
<br />.2094.9:
<br />371.0
<br />5
<br />250.16
<br />5.46
<br />12
<br />.602:21-
<br />°.31:56
<br />19
<br />958.81
<br />79.67
<br />10
<br />258.51
<br />5.83
<br />10f
<br />,610.64
<br />32.45,
<br />10
<br />.967.38
<br />81.09
<br />20
<br />266.86
<br />6.21'
<br />;20 1.619.07.'.:'
<br />1733.5
<br />33.35:.
<br />'_ .20.:
<br />,975.96
<br />82.53
<br />30
<br />275.21
<br />6.61.
<br />.30
<br />627.50.
<br />'. 34.26
<br />30 +
<br />984.53
<br />83.97
<br />40
<br />283.57
<br />7.01
<br />'40'
<br />635.93
<br />'35.18
<br />40'-993.12
<br />2142:2!
<br />85.43
<br />50
<br />291.92.
<br />l4
<br />7.43
<br />"
<br />50
<br />644.37.
<br />' 36.12
<br />80.
<br />1001.7
<br />86.90
<br />6
<br />300.28
<br />7.86
<br />13
<br />652.81
<br />37.07.
<br />• 20,
<br />1010.3-..
<br />88.39
<br />10
<br />308.64--
<br />8.31
<br />10
<br />661.25'
<br />38.03
<br />"10
<br />1018.9
<br />- 89.89
<br />20 '.316'.99
<br />'1410.9
<br />8.76
<br />20669.70
<br />1788.2
<br />39.01
<br />20
<br />1027:5
<br />91.40
<br />30
<br />325.35
<br />9.23
<br />30 '
<br />"678.15
<br />' 39.99
<br />30
<br />1036:1.-„
<br />92.92
<br />40
<br />-,333.71..
<br />9.71
<br />40-
<br />686.60
<br />40.99 '
<br />40
<br />1044. .7
<br />94.46
<br />50
<br />342.08'
<br />''10.20
<br />50
<br />•695.06
<br />42.00,
<br />50
<br />1053.3r
<br />96.01
<br />7
<br />350.44.
<br />10.71
<br />14
<br />703.51'
<br />+
<br />43.03
<br />21
<br />1061.9
<br />97.57
<br />10
<br />'358.81'
<br />-11.22
<br />10
<br />71x.97.
<br />. '44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />367.17
<br />184.08
<br />20
<br />720.44
<br />_ 45.12
<br />_ 20
<br />1079.2
<br />.100.75
<br />30
<br />-375:54.
<br />•'11.75,
<br />- 12.29
<br />" 30
<br />728.90
<br />.46.18
<br />.... 30
<br />1087:8-
<br />-102.35
<br />40
<br />383.91
<br />12.85
<br />40,
<br />737.37-1
<br />47:25
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41
<br />50-1
<br />745:85
<br />1 48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T =Tangent. E=External.)
<br />Int.Curve
<br />Angle
<br />5°
<br />10° 15° 20° 25°
<br />30° 35°,
<br />40°
<br />45°
<br />50°
<br />55° 60°
<br />65°
<br />700
<br />5.
<br />T=.02
<br />.03 .05 .06 .08
<br />.10 .11
<br />.13
<br />.15
<br />.16
<br />.18 .20
<br />.21
<br />.23
<br />108.90
<br />E =.000
<br />.000 .001 .001 .002
<br />.002 .002
<br />.003
<br />-.003
<br />..004
<br />.004 .004
<br />.005
<br />.005
<br />10°
<br />T=.03
<br />.06 .09 .13 .16
<br />.19 .22
<br />.25
<br />•.28,„:.31
<br />--30
<br />.34. .38
<br />.42
<br />.46
<br />1508.5
<br />E=.001
<br />.003 .004 .006 .007
<br />,".008 .009
<br />.011
<br />.012
<br />.014
<br />.015 .017
<br />.018
<br />.029
<br />15o
<br />T=.04
<br />.10 .14 ,19 .24
<br />.29 .34
<br />.39
<br />.45
<br />.51
<br />.53 .58
<br />.63
<br />.68
<br />50
<br />E =.003
<br />:007 .010 .014 .018
<br />.023 .027
<br />.029
<br />.032
<br />.035
<br />=:039 .043
<br />.047_051
<br />37.
<br />20o
<br />T=.06
<br />.13 -19 .26 .32
<br />.39 .45
<br />.51
<br />.58
<br />.65•
<br />.72 .79.,
<br />.84.
<br />.90
<br />'"315.2
<br />E =.006
<br />.011 .017 .022 .028
<br />.034 .038
<br />.045
<br />.051
<br />.057
<br />.063 .070
<br />.076
<br />.033
<br />25°
<br />T=.08
<br />16 .24, .33 .40
<br />".036
<br />.49 .58
<br />67
<br />,75
<br />.83
<br />.90 .99
<br />1.00
<br />L14 -
<br />1200.5
<br />E=.009
<br />.018 .027 .046
<br />.056 .065
<br />.074
<br />.083
<br />•'.093
<br />.106 .120
<br />.127
<br />.135
<br />,TAsi,,-L ==Tangents and Externals to a 1' Curve.• YYY
<br />Chord= 100 ft.
<br />Int. .°
<br />Angle'+
<br />Tangent
<br />External
<br />' Int.
<br />Angle
<br />.Tangent
<br />External
<br />Int,
<br />Angle
<br />Tangent
<br />External
<br />'2$P, i
<br />:1113.7.
<br />107.24
<br />29°
<br />1481.8
<br />188.51
<br />364;
<br />1881.7
<br />294."9
<br />10F
<br />1122.4
<br />108.90
<br />"65° -700,
<br />1490.7
<br />190.74 :
<br />10'
<br />1870.9
<br />.297.7
<br />„_20
<br />1131.0
<br />110.57
<br />,"10'
<br />_20
<br />1499.6
<br />192.99
<br />20
<br />'1880.1:
<br />300.6
<br />--30
<br />-1139.7.
<br />112.25
<br />-': 30
<br />1508.5
<br />195.25
<br />30 ,
<br />'1889.4,
<br />'303.5
<br />'.:-40 +
<br />1148:4.
<br />113.95
<br />' '.'.40
<br />.1517:4 f
<br />197.53
<br />-'40
<br />1898.6:
<br />,306.4
<br />50
<br />'1157.0'
<br />115.66
<br />-50
<br />1526.3;
<br />199.52
<br />50
<br />'1907.9'
<br />1
<br />'309,3
<br />;23''
<br />1165.7
<br />117:38.
<br />30 '--
<br />153513 !
<br />202.'12
<br />37.
<br />•1917:1
<br />312:2
<br />- 10
<br />-1174.4
<br />119.12
<br />: 10
<br />1544.2,
<br />204.44
<br />10
<br />1926.4,
<br />'"315.2
<br />20
<br />1183.1'
<br />120.87
<br />20
<br />.1553.1
<br />206.77
<br />-20
<br />.1935.1
<br />,318.1
<br />30
<br />1191.8
<br />122.63
<br />30
<br />1562:1
<br />209.12
<br />30
<br />1945.0.
<br />:,321.1
<br />40
<br />1200.5
<br />124.41
<br />40
<br />1571.0
<br />211.48
<br />.40
<br />'1954:3
<br />:324.1
<br />-50
<br />4209.2
<br />126.20
<br />50
<br />1580.0;
<br />213.86
<br />" 50
<br />1963:6°
<br />I
<br />327.1
<br />24
<br />1217.9
<br />128.00
<br />31
<br />1589.0
<br />216:3
<br />38 "
<br />1972:9,
<br />330:2
<br />10
<br />1226.6:
<br />129.82
<br />- 10
<br />'1598.0
<br />218.7
<br />';'10
<br />1982.2,
<br />`333.2
<br />20
<br />1235:3
<br />131 65
<br />20
<br />1606.9
<br />221.1
<br />" 20
<br />1991'.5
<br />336.3
<br />30
<br />1244.0'
<br />133.50
<br />30
<br />1615.9
<br />223.5
<br />'.'30
<br />. 2000.9
<br />.339.3
<br />40
<br />1252.8
<br />135.35
<br />40
<br />1624.9
<br />'226.0
<br />';'40
<br />2010.2
<br />'342.4
<br />'�• 50
<br />1261:5'
<br />137.23
<br />50
<br />1633.9
<br />228.4
<br />"50
<br />2019.8•
<br />'345.5
<br />`25
<br />1270.2
<br />139:11
<br />32:
<br />1643.0
<br />236.9
<br />39.
<br />2029:0;
<br />10
<br />3279.0'
<br />141.01
<br />10
<br />1652.0
<br />233.4
<br />10 ',2038.4•
<br />•348.8
<br />.351.8
<br />20
<br />1287.7
<br />142.93
<br />20
<br />1661.0
<br />235.9
<br />20
<br />2047.8•
<br />354.9
<br />30
<br />1296.5
<br />144.85
<br />30
<br />1670.0
<br />238.4
<br />30
<br />2057,:2.
<br />:358.1
<br />40
<br />1305.3:
<br />146.79
<br />-40'
<br />1679.1
<br />241.0
<br />40
<br />2066.6•
<br />'361.3
<br />50
<br />1314:0,
<br />148.75
<br />50
<br />1688.1
<br />243.5
<br />50
<br />2076.0+
<br />'364.5
<br />26'
<br />1322.8 .,
<br />150.71
<br />33" .'
<br />1697.2.
<br />246.1
<br />.40 -
<br />'2085.4'
<br />.367.7
<br />16
<br />1331.6
<br />152.69
<br />---.10
<br />.1706.3
<br />248.7
<br />10
<br />.2094.9:
<br />371.0
<br />20
<br />1340:4
<br />154.69
<br />"_20
<br />1715:3
<br />251.3
<br />20
<br />2104.3•
<br />4,374.2
<br />-30
<br />1349;2
<br />156.70
<br />30
<br />1724:4
<br />253.9
<br />30
<br />2113.8
<br />'377.5
<br />40
<br />1358.0
<br />158.72
<br />40
<br />1733.5
<br />256.5
<br />40
<br />2123:3
<br />'380.8
<br />-`"50
<br />"1366.8
<br />160.76
<br />50
<br />1742.6
<br />259.1
<br />50
<br />2132.71
<br />-384.1
<br />.27-=
<br />1375.6
<br />162.81
<br />84^,
<br />1751.7
<br />261.8
<br />41',`
<br />2142:2!
<br />;387 4
<br />;10
<br />1384.4
<br />164.86
<br />10
<br />1760.8
<br />264.5
<br />10
<br />2151.71
<br />390.7
<br />"20
<br />1393.2
<br />166.95
<br />20
<br />1770.0
<br />267.2
<br />20
<br />2161.2.
<br />394.1
<br />30
<br />1402:0.
<br />169.04
<br />'30
<br />1779.1
<br />269.9
<br />30
<br />2170.8
<br />397,4
<br />40
<br />'1410.9
<br />171.15
<br />40
<br />1788.2
<br />272.6'
<br />40
<br />2180:3!
<br />50
<br />1419.7
<br />173.27
<br />`50
<br />1797.4
<br />275.3
<br />50
<br />2189.9,
<br />,400.8
<br />'404.2
<br />.28'- .
<br />1428.6
<br />175.41
<br />35 -
<br />1S06.6
<br />2781
<br />d2
<br />2199.41
<br />•407:6
<br />10
<br />11437.4
<br />177.55
<br />10
<br />'1815.7
<br />280.8
<br />-10
<br />2209.0
<br />,411.1
<br />20
<br />1446.3
<br />179.72
<br />20
<br />1824.9
<br />283.6'
<br />;.20
<br />2218.61
<br />414:5
<br />30
<br />1455:1
<br />181.89
<br />30.
<br />1834.r
<br />286.4
<br />30
<br />2228.1
<br />X418.0
<br />40
<br />1464.0
<br />184.08
<br />40
<br />1843.3
<br />289.2
<br />:' 40
<br />2237.7,
<br />421.4
<br />50L
<br />1472.9
<br />186.29
<br />'-50
<br />1852.5
<br />292.0
<br />50
<br />2247.3'
<br />425.0
<br />Corrections to be Added (T = Tangent. -.'E _External.) '
<br />Int
<br />'60°
<br />Angle Curie'5*
<br />1011
<br />15°
<br />20°
<br />25°
<br />301.
<br />351 40°
<br />45°
<br />50°
<br />551
<br />"65° -700,
<br />260 . T=.06 .
<br />'.13
<br />.19
<br />.26
<br />.32
<br />.39
<br />.45 .51
<br />.58
<br />.65
<br />.72 .79
<br />.84 •.90
<br />E=.006
<br />.011:
<br />.017
<br />.022
<br />..028
<br />'_.034
<br />-.038 ,,:045
<br />.051
<br />.057
<br />.063 .070
<br />.076 _.083
<br />25'.. .:T=.08'
<br />.:16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.53' .67
<br />.75,
<br />.83
<br />'.90 ..99-
<br />1.06 1:14
<br />E=.009.
<br />':018'-:027
<br />:036
<br />.046
<br />.056
<br />.065 .074
<br />.083
<br />.093
<br />.106 _.120
<br />.127 -.135
<br />300• T=.10
<br />.19
<br />'.29
<br />.39
<br />.49
<br />.59
<br />.69 .79
<br />:89.
<br />.99
<br />1.09 1.20
<br />1.29 1.39
<br />-.013
<br />.025
<br />.038
<br />.051
<br />.065
<br />.078
<br />.090 .103
<br />.116
<br />.129
<br />.149 .170
<br />.179 .188
<br />35° . i T=.11
<br />:22
<br />.34
<br />.47
<br />.58
<br />.69
<br />.80 .93
<br />1.05
<br />1.17
<br />1.29 1:42
<br />1.54 1.66
<br />E=.01.8
<br />.035
<br />.054
<br />.072
<br />.086
<br />.109
<br />131 153
<br />.175
<br />.107
<br />.213 .230
<br />.247 ..264
<br />.40° T=.13
<br />26
<br />.40
<br />.53
<br />.67
<br />.801.20
<br />1.34
<br />1.49 1.64
<br />1.79 1.94
<br />E=.023
<br />.046
<br />.070
<br />.093
<br />.117
<br />'.141
<br />T22
<br />.234
<br />.265
<br />.277 .290
<br />.315 341
<br />45°" T=.15
<br />.30
<br />.44
<br />.60
<br />.7G
<br />.91
<br />1.37
<br />1.52
<br />1.70 1.87
<br />2.04 2.21
<br />E=.030
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.289
<br />325
<br />-.All 378
<br />.411 .445
<br />
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