|
T TABLE I, - Tangents. and Externals to a 1 Curve.
<br />Chard= 100 It.
<br />In t.
<br />An¢le
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />1"
<br />50.00
<br />• ,22
<br />8°.
<br />400.00
<br />13.99
<br />15*-
<br />754.32
<br />49.44,
<br />10'
<br />58.34
<br />.30
<br />10'
<br />409.03
<br />14.55
<br />10'
<br />762.80
<br />60:55
<br />20
<br />66.67
<br />.39
<br />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 />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 />'108.35
<br />.87
<br />9
<br />450.93
<br />17.72
<br />16
<br />805.25
<br />56.31
<br />16
<br />90
<br />t.02.
<br />10'
<br />459.32
<br />.18, as
<br />10
<br />813.75
<br />57.50
<br />_- 20
<br />116.68
<br />t_10
<br />20
<br />467.71
<br />19.06
<br />20
<br />82225
<br />58.70
<br />.49
<br />125.02
<br />t. SG
<br />30
<br />47G.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 />14 L. 70
<br />_ 1.75
<br />50
<br />492.88
<br />21.16'
<br />50
<br />847.78
<br />62.38
<br />'.24'
<br />'1217'.9
<br />i
<br />31
<br />1589.0
<br />216.3
<br />38'
<br />1972.6
<br />330.2
<br />3
<br />.150.04
<br />1.96
<br />1D
<br />501.28
<br />21.89
<br />17
<br />856.30
<br />63.63
<br />1.0
<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 />IG6.72
<br />2.43
<br />20
<br />518.08
<br />.23.38
<br />20
<br />873.35
<br />-66.18
<br />30
<br />175.00
<br />2.67
<br />30
<br />526.48
<br />24.14
<br />30
<br />881,8S
<br />67.47
<br />40
<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
<br />20.50
<br />18...
<br />907.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560.11
<br />27. al.
<br />- 10
<br />916.03
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />20
<br />5GS.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 />4.7G
<br />40
<br />585,36
<br />29.82
<br />40
<br />941.09
<br />76.86
<br />50
<br />241:81
<br />5.10
<br />50.
<br />593.79,
<br />30.08
<br />50
<br />950,25
<br />78.26
<br />5,
<br />250.18
<br />5.46
<br />12
<br />002.21
<br />31.66
<br />19
<br />958.81
<br />79.67
<br />10
<br />258.51
<br />5,83
<br />10
<br />G10.64
<br />32.45
<br />10
<br />067.38
<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 />4.0
<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 />59
<br />644.37
<br />. 36.12
<br />50
<br />10011-7
<br />86.90
<br />6
<br />30q. as
<br />7.86
<br />13
<br />G52.81
<br />37.07
<br />,20
<br />1010.3
<br />88.39
<br />10
<br />308:04
<br />8.31
<br />10
<br />601.25
<br />,38:03
<br />10
<br />101819
<br />89.89
<br />.20
<br />316.99
<br />8.76
<br />-20
<br />. 609.70
<br />'39.01
<br />20
<br />1027.5•
<br />91.40
<br />30
<br />325.35
<br />9.23
<br />30.
<br />078.15
<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 />1001.9
<br />97.57
<br />10
<br />338.81
<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 />729.44
<br />45.12
<br />- 20
<br />1079.2
<br />100.75
<br />30
<br />375.54
<br />12.29
<br />30
<br />'728.90
<br />46.15
<br />30
<br />1087,8
<br />-102.35
<br />40
<br />333.91
<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 />--48.31
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Iat 'Curve 5°
<br />Aagle
<br />le. 15°
<br />20°
<br />25°
<br />30° .
<br />35°
<br />40°L.45
<br />Tangent
<br />50° 55°
<br />60°
<br />65°
<br />70°
<br />5° T=.02
<br />.03 .05
<br />.06
<br />X8
<br />.10
<br />.11
<br />.13
<br />.,1121.4
<br />.16 .18
<br />.20
<br />.21
<br />.23
<br />R-.000
<br />.000 .001
<br />.O6 .09
<br />.001
<br />.13
<br />.002
<br />.16
<br />.002
<br />.19
<br />.002
<br />.22
<br />.003
<br />.25
<br />1499.6
<br />.004 .004
<br />3l 39
<br />.004
<br />.38
<br />.OD5
<br />2
<br />.005
<br />AC
<br />14° ' - T=•03
<br />. E =:W1
<br />.003 AM
<br />10 .14
<br />.006
<br />.19
<br />.007
<br />.24
<br />.008
<br />.29
<br />.009
<br />.34
<br />.011
<br />.39
<br />303.5
<br />.014_ .015
<br />.51 .53
<br />.017
<br />.58
<br />.018
<br />.63
<br />.020
<br />A8E=.003
<br />Ur° T=.64 .'
<br />197.53
<br />.007 .010
<br />.014
<br />.018
<br />.023
<br />027
<br />.029
<br />50
<br />.035 .039
<br />.043
<br />.047
<br />.051
<br />20° T=.00
<br />.18 .19
<br />.26
<br />.32
<br />.39
<br />.45
<br />51
<br />.58
<br />.65, .72
<br />.79
<br />84
<br />90
<br />E =,006
<br />.011 .017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.D15
<br />X51
<br />.057 .003
<br />.070
<br />.0761•.083
<br />1553.1
<br />yr° T=.08
<br />.10 .24
<br />.83
<br />9U
<br />.49
<br />.58
<br />.67
<br />.75
<br />.83 .90
<br />.99
<br />1.06.
<br />1.14
<br />E=.009
<br />.0181 ,027
<br />i
<br />.036
<br />.040
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093 .106
<br />.120
<br />.1271
<br />.135
<br />TenLE I. - Tangents and Externals to a 1° Cu'rve'. III
<br />Chord= 100 ft.
<br />Int.Angle
<br />Angle
<br />10°
<br />External
<br />Int.Tangent
<br />i.gl
<br />Angle
<br />Tangent.
<br />Externa
<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 />16r,
<br />.,1121.4
<br />108.90.
<br />10'
<br />1490.7
<br />1190.74
<br />10'
<br />1870.9
<br />297.7
<br />1_0,
<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 />1389.4
<br />303.5
<br />40:1148
<br />.IJ
<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 />I907.9
<br />309.3
<br />23
<br />1166.7
<br />117:39
<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 />200.77
<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 />126.20
<br />50
<br />1580.0
<br />213.80
<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 />1972.6
<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 '.1615,9
<br />223.5
<br />30
<br />'2000.9
<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 />26
<br />1270.2
<br />139.11'
<br />321643.0
<br />236.9
<br />39
<br />2029.0
<br />348.6
<br />.10
<br />.1279.0
<br />141,01.
<br />-10
<br />1052.0
<br />'233.4
<br />10 .'
<br />2038.4
<br />35ES
<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 />301.3
<br />" 50
<br />1311:0
<br />148.75
<br />50
<br />1688.1
<br />243.5
<br />50
<br />'2076.0
<br />= 304.5
<br />26-
<br />1322.8
<br />150.7I�
<br />-Si --1897.2
<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 />387.4
<br />`10
<br />1384:4
<br />164.86
<br />10
<br />1760.8
<br />264,5
<br />10
<br />215L.7
<br />390.7
<br />20
<br />1393.2
<br />166.95
<br />20
<br />1770.0
<br />267.2
<br />20
<br />216L.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 />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 />x8' ,
<br />1428.6
<br />175.41`
<br />35
<br />1806:6
<br />278.1'
<br />42
<br />2199.4
<br />_407.0
<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 />18t,S9
<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 />1852.5
<br />202.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T =Tangent. E= External.)
<br />Iat, Curve S°
<br />Aagle,
<br />10°
<br />15°
<br />20°
<br />25° 30°
<br />35°
<br />40°
<br />45°
<br />50° 55? 60° 65° 70°
<br />20° T= A6
<br />.13
<br />.19
<br />.26
<br />.32 39
<br />45
<br />.51
<br />.58
<br />.65 .72' .79 '.84' ..90
<br />E=.006
<br />.011
<br />.017
<br />.022
<br />.028 .034
<br />.038
<br />.045
<br />051
<br />.057 .063 .070 .076..083
<br />25° T=.08
<br />.l6
<br />.24
<br />.33
<br />.40 .49
<br />.58 .
<br />.67
<br />.83 .90 .99 1.06 1.14
<br />E=.009'
<br />.018
<br />.027
<br />.036
<br />.046 .056
<br />.065
<br />.074
<br />.093 .106 .120 .127 .135
<br />30" T=.10
<br />.IJ
<br />.29
<br />.39
<br />.49 .59
<br />.69
<br />.79
<br />F.175
<br />.99 1.09 1.20 1.29 1.30
<br />E=.013
<br />.025
<br />.038
<br />W1
<br />.065 .078
<br />.090
<br />.103
<br />'.129 ,.149 .170 .179 ,188
<br />35-, T=.11
<br />l2
<br />34
<br />A7
<br />.58 .69
<br />.80
<br />.03
<br />1.17 1.29 1.42 1.54 1.66
<br />E=.018
<br />= 478
<br />.035
<br />.054
<br />.072
<br />X86 .109
<br />.131
<br />.153
<br />.197 .213 .230 .247 .264
<br />,40° T,=.13
<br />.26
<br />.46
<br />53
<br />.67 .80
<br />.93
<br />1.06
<br />1.20
<br />1.34 1.49 1.64 1.79 1.94
<br />E =.023
<br />.046
<br />.070
<br />.093
<br />'.117 .141
<br />.172
<br />203
<br />.234
<br />.265 .277 390 .315 .34I
<br />45° T-.15
<br />.30
<br />.60
<br />.44
<br />.76 .91
<br />1.08
<br />1.21
<br />1.37
<br />1.52 1.70 1.87 2.04 2.21
<br />E=.030
<br />.060
<br />.093
<br />.119
<br />.153 .184
<br />.216
<br />.254
<br />.289
<br />.325 .351 .378 .411 .445
<br />
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