|
II TA13LE I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft.
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />lite;nalj
<br />.cA gle
<br />Tangent
<br />External
<br />1°
<br />50 00
<br />22
<br />- 8°
<br />-'4'00.66z
<br />';13.99
<br />- 15°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.58
<br />101
<br />762.80
<br />50.55
<br />20
<br />66.67
<br />.39-
<br />7 20
<br />,417.41
<br />15.18
<br />-20
<br />771.29
<br />51.68
<br />30 .
<br />75.01
<br />.49`:
<br />30'
<br />.1425.79.._
<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 />$05.25
<br />b6:31
<br />10"
<br />108:35
<br />1.02'
<br />10
<br />'.:
<br />459.32
<br />.
<br />18.38'
<br />_ -,10
<br />813.75
<br />57:50
<br />20''$
<br />116.68
<br />:1.19
<br />20
<br />.467.71
<br />: 19.06
<br />20 '-
<br />822.25
<br />58.70
<br />,.30-125,02;
<br />51
<br />1:36.
<br />30
<br />476.10
<br />'484.49
<br />19,.75
<br />--30,
<br />:830.76
<br />•59.91_
<br />40,.:
<br />'
<br />133.36
<br />`. 155
<br />40,
<br />.045
<br />.67
<br />.074
<br />- -20.45 .
<br />40 .:839.27
<br />.84
<br />-.o76
<br />1.06
<br />.127
<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 />` 501:28
<br />21.89,.
<br />17
<br />856.30
<br />63.63_
<br />10
<br />158.38
<br />2.19
<br />•- 10,
<br />-509.68•
<br />-;22:62-:
<br />. 10
<br />864.82
<br />64:90
<br />20
<br />1G6.72
<br />2,43
<br />20
<br />518.08
<br />23:38
<br />20
<br />873.35
<br />66:18
<br />30
<br />175.06
<br />2.67
<br />30
<br />-526.48
<br />- 24.14
<br />•
<br />30
<br />.
<br />881.88
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />534.89
<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 />230.9
<br />39
<br />2029.0
<br />348.6
<br />4
<br />200:08
<br />3.49
<br />11
<br />551:70-
<br />26.50
<br />18
<br />907.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560,11
<br />27.31
<br />.10
<br />916.03.
<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 />28.97
<br />30'
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />.4.76
<br />40
<br />.585:36
<br />29.82
<br />40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />5:10
<br />50-
<br />593.70
<br />30.68
<br />- 50
<br />950.25
<br />78.26
<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 />10
<br />610,64
<br />32.45
<br />10
<br />967.38
<br />81:09
<br />20
<br />266.86'--6,21
<br />156.70
<br />.20
<br />619.07
<br />33.35
<br />20,
<br />975.96
<br />82.53
<br />30
<br />275.21
<br />6:61
<br />`7.01
<br />.130
<br />627,50
<br />34.26
<br />30
<br />'984.53
<br />83:97
<br />40
<br />283.57
<br />160,76
<br />40
<br />635.93
<br />35.18
<br />40
<br />993.12
<br />85.43
<br />50
<br />291.92
<br />7.43
<br />50
<br />644.37
<br />36.12
<br />50 .
<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
<br />316.99-
<br />8.76
<br />20 .
<br />-669.70
<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 />695.00
<br />42.00.
<br />50
<br />1053.3
<br />96.01
<br />7
<br />350.44
<br />-. 10.71
<br />14
<br />703.51
<br />'43.03
<br />21
<br />1061.9
<br />97:57
<br />10
<br />358.81
<br />11.22
<br />10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />367.17
<br />11.75
<br />20
<br />720.44
<br />45.12
<br />20
<br />1079.2
<br />418.0
<br />30
<br />375.54
<br />'12.29
<br />30
<br />728.90
<br />. 46.18-
<br />30
<br />1087.8
<br />.100.75
<br />102.35
<br />40
<br />383.91
<br />12.85
<br />40.,
<br />.737.37
<br />47.25
<br />40
<br />1096.4
<br />103.97
<br />50
<br />392,28
<br />13.41
<br />50
<br />-745.85
<br />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T =Tangent. E =External.)
<br />Int.
<br />Angle
<br />Curve 5°
<br />10°
<br />15°
<br />20° 25°
<br />30°
<br />35°.
<br />40°
<br />45°
<br />50° 55° 60°
<br />65°
<br />70°
<br />5o
<br />T=;02.03
<br />188.51 '
<br />.05
<br />..06 ' .08
<br />.10
<br />.11
<br />.13.
<br />.15
<br />.16
<br />.
<br />190.74
<br />10'
<br />E=.000
<br />.000
<br />.001
<br />.001 .002-002
<br />110.57
<br />.002
<br />.003
<br />-.003
<br />.18 .20
<br />.004 .004 .004
<br />.21
<br />.005
<br />.23
<br />.005
<br />10°
<br />T=-03
<br />.06
<br />.09
<br />.13- .16
<br />.19
<br />.22
<br />.25
<br />:28.
<br />.31
<br />•1148.4,
<br />113.95
<br />40
<br />E=.001
<br />.003
<br />.004
<br />.006 .007
<br />..008
<br />.009
<br />.011
<br />.012
<br />.34 .38
<br />.014 .015 .017
<br />.42
<br />.018
<br />.46
<br />.020
<br />150
<br />T =.04
<br />.10
<br />.14
<br />.19 24
<br />.29
<br />.34
<br />.39
<br />.45
<br />.51 '
<br />1917.1
<br />.68
<br />1
<br />E =.003
<br />:007
<br />.010
<br />.014 .018
<br />.023
<br />.027
<br />.029
<br />.032
<br />.53 .58
<br />.035 .039 .043
<br />.63
<br />.047
<br />.051
<br />200'
<br />T=.06
<br />13
<br />.19
<br />.28 32.
<br />.39
<br />.45
<br />51
<br />b8
<br />=. 30
<br />1562.1
<br />209.12
<br />30
<br />E =.006
<br />T=,08.16
<br />E =.009
<br />.011
<br />018
<br />.017
<br />.24...33
<br />.027-
<br />.022 .028
<br />.40
<br />.036 .046
<br />.034
<br />.49
<br />.056
<br />.038
<br />.58
<br />.065
<br />.045
<br />.67
<br />.074
<br />,051
<br />.75
<br />.083
<br />.65 .72 .79
<br />_:057 .063 .070
<br />.83 .90 .99
<br />"-.093 .106 .120
<br />.84
<br />-.o76
<br />1.06
<br />.127
<br />.90
<br />.083
<br />1.14
<br />.135
<br />2501
<br />;TABLE -L , Ta,ngents_and Externals to a 1° Curve:
<br />Chord =100 f t:
<br />Int _
<br />AnkleAngle
<br />Fangentl
<br />xternal
<br />^Int.
<br />-
<br />Tangent
<br />External
<br />Int..
<br />Angle
<br />Tangent
<br />External
<br />22"
<br />1113.7
<br />107:24
<br />29°".
<br />1481:8
<br />188.51 '
<br />•36°'
<br />1861.7
<br />294:9
<br />--101
<br />'1122.4,
<br />'108.90
<br />- 10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />20
<br />%1131'.0;
<br />110.57
<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 />'
<br />•1148.4,
<br />113.95
<br />40
<br />1517.4
<br />197.53
<br />40
<br />1598.6
<br />306.4
<br />.40
<br />50
<br />1157.0.
<br />115.66
<br /><50
<br />1526.3
<br />199.82
<br />50'
<br />.1907.9
<br />309.3
<br />23 '
<br />1155.7.
<br />117.38
<br />30
<br />1535.3
<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 />'1935.7'
<br />-318.1
<br />1.30
<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 />4200:5.
<br />124.41
<br />_.'40
<br />1571.0
<br />211.48
<br />40
<br />1954.3,
<br />324.1
<br />50
<br />'1209.2
<br />126.20
<br />50
<br />1580.0
<br />213.86
<br />50 '
<br />1963.6:
<br />,327.1
<br />1.42
<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 />1326.6
<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 />2000.0
<br />.339.3.
<br />-40
<br />1252.8
<br />135.35
<br />.•.-40
<br />1G24.9
<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 />2019.6:
<br />-345.5
<br />.25
<br />'1270.2
<br />139.11
<br />32-:..
<br />1643.0
<br />230.9
<br />39
<br />2029.0
<br />348.6
<br />10
<br />1279.0
<br />141:01
<br />10
<br />1652.0
<br />233.4
<br />10
<br />2038.4
<br />351.8
<br />20
<br />1287.7
<br />142,93
<br />_20
<br />16361:0
<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 />10
<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 />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 />2132.7-
<br />-384.1
<br />27
<br />1375.6
<br />162.81
<br />34
<br />1751.7
<br />261.8
<br />41- -
<br />2142.2
<br />'
<br />387:4.
<br />10
<br />1384.4 •
<br />164.86
<br />10
<br />1760.8
<br />264.5
<br />10 -'2151.7
<br />390.7
<br />20
<br />1393.2
<br />106.95
<br />20
<br />1770.0.
<br />267.2
<br />20
<br />2161.2
<br />394.1
<br />30
<br />140210 •
<br />169.04
<br />30
<br />1779.1
<br />269.9
<br />30
<br />2170:8
<br />'397.4
<br />40
<br />4410.9
<br />171.15
<br />40
<br />1788.2
<br />272.6
<br />40
<br />2180.3
<br />-400.8
<br />50
<br />1419.7
<br />173.27
<br />50
<br />1797.4
<br />275.3
<br />50
<br />2189.9.
<br />:404.2
<br />28'
<br />1428.6
<br />175.41
<br />35•
<br />1806.6
<br />278.1
<br />42
<br />2199.4
<br />' 407.6
<br />10
<br />1437.4
<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 />2218.6
<br />. 414.5
<br />30
<br />1455:1
<br />181.89
<br />:30
<br />1834.1.
<br />286.4
<br />30
<br />2228.1
<br />418.0
<br />40.
<br />1464.0
<br />184.03
<br />40
<br />1843.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />50
<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 />IntAngle
<br />Clove 5°
<br />10°
<br />'15°
<br />20°.
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />55°,
<br />60°.
<br />65°
<br />70°;"
<br />26o
<br />T=.06
<br />.13
<br />•.19'
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58'
<br />.72
<br />,79
<br />.84
<br />.90
<br />-.083
<br />E=.006
<br />-.011
<br />.017
<br />.022
<br />.028
<br />.034
<br />,.038
<br />.045
<br />.051
<br />[.665
<br />.063
<br />.070
<br />.076
<br />mooT=:08-
<br />-:16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67,
<br />.75
<br />.90
<br />.99
<br />1.06
<br />1:14
<br />E=:009.,
<br />:018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.005
<br />074
<br />.083
<br />.106
<br />..120
<br />.127
<br />.135
<br />30T=.10
<br />.19
<br />.29
<br />.39
<br />.40
<br />.59
<br />.69
<br />.79
<br />.891.09
<br />1.20
<br />1.29
<br />1.39
<br />E=.013
<br />.025
<br />.038
<br />.051
<br />.005
<br />.078
<br />.090
<br />..103
<br />.116
<br />.149
<br />.170
<br />.179
<br />.188
<br />T =:11
<br />.22
<br />.34
<br />.47
<br />.58
<br />.69
<br />.80
<br />.93
<br />1.05
<br />1:17
<br />1.29
<br />1.42
<br />1.54
<br />1.66
<br />E=:018
<br />.035
<br />.054
<br />.072
<br />.086
<br />.109
<br />.131
<br />.153
<br />:175
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />T=.13
<br />.26
<br />.40
<br />:53
<br />67
<br />.80
<br />.03
<br />1.06
<br />1.20
<br />1.34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />E=.023
<br />.616
<br />.070
<br />.093
<br />:117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />.290
<br />.315
<br />.341
<br />o
<br />45,
<br />T=.15.
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />_1.06
<br />1.21
<br />1.37
<br />1.IL3778
<br />2.04
<br />2.21
<br />E=.030.
<br />.060
<br />.093
<br />.119
<br />..153
<br />:184
<br />.216
<br />.254
<br />.289
<br />.
<br />.411
<br />.445
<br />
|