|
1I TA13LE I. - Tangents and Externals to a V Cine.
<br />Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />/"
<br />External
<br />.' Int:'
<br />a Annie [
<br />;Tangent
<br />External,
<br />Int,
<br />:.Angle
<br />��a.
<br />10ngent
<br />External
<br />1°
<br />50.00.
<br />- :22
<br />`- 8° -!'400.66-
<br />.05
<br />13:99-
<br />115° -
<br />(754.32
<br />49.44
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14,58
<br />10'
<br />1762.80
<br />50.55
<br />20
<br />66.67
<br />39
<br />'20r
<br />.`417:41'
<br />`15',18
<br />'^' ;20'
<br />771:29
<br />51.68
<br />30
<br />75.01
<br />49
<br />" •30
<br />425:791
<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 />;,, • 10
<br />91,68
<br />.73
<br />50
<br />442._55-.
<br />'17;:07,
<br />50,';
<br />796:75
<br />55.13
<br />2
<br />100.01,87
<br />.34 .39
<br />9•
<br />450.93
<br />'-17:.72
<br />16
<br />805.25.
<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 />'116.68
<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 />' _!19i75'.
<br />`-.` 130%
<br />330.76
<br />59.91
<br />40
<br />133.3.6
<br />1.55
<br />40
<br />484.49
<br />,=.45
<br />40:;:
<br />539.27
<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 />S
<br />•150.04'
<br />' 1.96
<br />10,
<br />501.28
<br />'-21:89
<br />17,.
<br />856.30
<br />63.63
<br />.083
<br />358:38
<br />-2.19
<br />:•10
<br />50968
<br />-:22.62
<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 />873.35
<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 />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 />4
<br />-200:08'
<br />- 3:49
<br />11• -
<br />'551:70''-26.50
<br />230.9
<br />1S
<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 />igl.6.03
<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 />1679.1
<br />29.82,
<br />, 40
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />1
<br />5.10
<br />50
<br />,.585.36
<br />593.79
<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
<br />•, 6.21-
<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 />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
<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 />695.06
<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 />71x.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 />400.75
<br />30
<br />375.54
<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
<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 />Angle Curve 5° 10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°. 40°
<br />•.13
<br />45°
<br />50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />50 T=.02 .03
<br />.05
<br />.06
<br />.08
<br />.10
<br />.Il
<br />.15
<br />'.003
<br />.16
<br />.18
<br />.20
<br />.21
<br />.23
<br />E=.000 ,000
<br />•001
<br />.001
<br />'.002
<br />.002
<br />-.002 ..003
<br />;" 20
<br />.004
<br />.004
<br />,004
<br />.005
<br />.005
<br />10° T =.03 O6
<br />.09
<br />:13'
<br />.16
<br />.19
<br />.22 .25
<br />.28
<br />.31
<br />.34
<br />.38
<br />.42
<br />.46
<br />E=.003
<br />.004
<br />.006
<br />.007
<br />.008
<br />:009 .011
<br />.012
<br />.014
<br />.015
<br />.017
<br />.018
<br />.020
<br />15° T=.04 ,10,"
<br />•14
<br />.19
<br />.24
<br />.29
<br />.34 .39
<br />.45
<br />.51
<br />.53
<br />.58
<br />.63
<br />.63
<br />E =.003 .007
<br />:010
<br />'.014
<br />.018
<br />.023
<br />.027 .029
<br />.032
<br />.035
<br />.039
<br />,.043
<br />.047
<br />..051
<br />20° T =.06 ,13
<br />10
<br />.26
<br />.32
<br />.39
<br />.45 .51
<br />.58
<br />.65
<br />.72
<br />.79
<br />.84
<br />.90
<br />E =.006 ,011
<br />:017
<br />.022
<br />.028
<br />.034
<br />.038 .045
<br />.051
<br />,057
<br />.063
<br />.070
<br />.076
<br />.083
<br />25° T =.08 16
<br />.24-
<br />.33
<br />.10
<br />.49
<br />.58 .67
<br />.75
<br />.83
<br />.00
<br />.99
<br />1.06
<br />1.14
<br />E =.009 ,018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065 .074
<br />.083
<br />.093
<br />.106
<br />.120
<br />.127
<br />-135
<br />Tesrl L =Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />Int.
<br />Angle ,
<br />`Tangent
<br />.
<br />External
<br />Int..
<br />Angle
<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 />130
<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
<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 />199.82
<br />50
<br />1907.9
<br />309.3
<br />23
<br />1165.7
<br />117.33
<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 />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 />1209.2
<br />i
<br />126.20
<br />50
<br />1580.0
<br />213.86
<br />50
<br />1963.6:
<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 />2019.6.
<br />1
<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 />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 />10
<br />1331.6
<br />152.69
<br />10
<br />1706.3
<br />248.7
<br />10
<br />2094.9
<br />1371.0
<br />x20
<br />.1340.4
<br />154.69
<br />20
<br />1715.3
<br />251.3
<br />20
<br />2104.3
<br />X374.2
<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 />387.4
<br />10
<br />1384.4
<br />164.86
<br />10
<br />:1760.8
<br />264.5
<br />" 10
<br />2151.7
<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 />x394.1
<br />30
<br />1402.0
<br />169.04
<br />",30
<br />1779.1
<br />269.9
<br />`30
<br />2170.8
<br />X397.4
<br />.40
<br />1410.9
<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 />'-,1866.6
<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 />1450.1
<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 />184.08
<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 />1 1852.5
<br />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T =Tangent. E =External.)
<br />nG
<br />ngle Curve 5°
<br />10°
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65' '70°_
<br />!lp� T=.06
<br />13
<br />.19
<br />.26 -
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.85
<br />.72
<br />,.79
<br />.84 .90
<br />E =.006
<br />,011
<br />,017
<br />.022
<br />,028
<br />,034
<br />,038
<br />.045
<br />.051
<br />,057
<br />.063
<br />.070
<br />.076 .083
<br />!S° T=.08 •
<br />.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.99
<br />1.06 1.14
<br />E=.009
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093
<br />.106
<br />.120
<br />.127 .135
<br />IO° -T=:10
<br />',19
<br />.29
<br />.39
<br />.49
<br />.60
<br />.69
<br />.70
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29 1:39
<br />E =.013
<br />.025..038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />.179
<br />.179,-.188
<br />IS- 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 1.68
<br />018
<br />EEB
<br />.035
<br />.054
<br />.072
<br />.086
<br />,109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247 .264
<br />.26
<br />.40
<br />.53
<br />-67.
<br />.80
<br />.93
<br />1.06
<br />120
<br />1.34
<br />1.49
<br />1.64
<br />1.79 1.94
<br />.046
<br />.070
<br />.093
<br />.117
<br />.141
<br />.172
<br />.203
<br />.234
<br />.265
<br />.277
<br />.290
<br />.315 .341.
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87
<br />2.04 2.21
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411 .445
<br />
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