|
QN
<br />II - TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />Angle
<br />Tangent
<br />External
<br />Angle.
<br />Tangent
<br />External
<br />',p Int.
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />22..
<br />8°.• r
<br />400.66-
<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 />10'
<br />762.80
<br />50.55
<br />20
<br />66.67
<br />.39
<br />20,-"•417:41
<br />1499.6
<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 />a 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 />PG.,,
<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 />5G.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 />3.36
<br />-°
<br />30
<br />.476.10
<br />19.75
<br />30
<br />830.76
<br />59.91
<br />40
<br />'133.3 6
<br />.=-1.55
<br />_
<br />40
<br />434.49
<br />20.45
<br />40 -
<br />839.27
<br />G1.14
<br />b0
<br />141.70
<br />1.75
<br />50 f.-492.88
<br />1580.0
<br />21.16
<br />50
<br />847.78'
<br />62.38
<br />- -
<br />150.04
<br />1.96
<br />10
<br />501.28
<br />21.89
<br />17
<br />856.30
<br />63.63
<br />.3'
<br />16-
<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 />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 />851.88
<br />67,47
<br />40
<br />183.40
<br />2.93
<br />40 .%534.89•
<br />1624.9
<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 />i
<br />11 ..
<br />-551.70
<br />26.56
<br />38 -
<br />607.49
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560.11
<br />27.31
<br />10 ,.'916:03;
<br />2038.4
<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.G9
<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 />26 �
<br />1322.8
<br />150.71
<br />X12
<br />1697.2
<br />246,1
<br />^
<br />2085.4
<br />367:7
<br />10
<br />b
<br />250.16
<br />5.46
<br />10
<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 />r ,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 />501001.7
<br />2142.2'
<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 c`'
<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 />.358.51
<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 />100.75
<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 />11079.2
<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 />1.105.60
<br />i
<br />�TABi& I: = Tangents and, Externals to a 1° Curve.
<br />Chord =100 ft:
<br />-Int.e
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangenf
<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 />10/,
<br />30°
<br />.39
<br />108.90
<br />• 10'
<br />1490.7
<br />190.74
<br />10'
<br />.1870,9,
<br />.
<br />;297.7
<br />•20
<br />.1122.4
<br />1131.0
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.1,
<br />1300.6
<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,
<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 />117.38
<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 />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 />213.86
<br />50
<br />1963.6
<br />327.1
<br />-24'!
<br />3217.6
<br />128.00.
<br />31.,
<br />-1559:0
<br />216.3
<br />38,
<br />1972.9
<br />,330.2
<br />'•'-10
<br />1226.6
<br />129.52
<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 />345.5
<br />-24':,
<br />1276.2
<br />139.11
<br />32
<br />1643.6
<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 />1685.1
<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. Z,
<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 />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 />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 />'311.1
<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 />]464.0
<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 />292,0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T=Tangent. E=External.)
<br />t;orrectlons to tle Added ('1' ='Tangent. Pl = Nxternal.) Int.
<br />' Angle .Garde 5°
<br />'100
<br />.13
<br />15°
<br />.10
<br />20°
<br />.26
<br />25°
<br />.32
<br />30°
<br />.39
<br />35°
<br />.45
<br />40°
<br />.51
<br />45°
<br />.58
<br />1 50°
<br />.65
<br />55°
<br />.72
<br />1 60°
<br />.79
<br />65°
<br />.84
<br />700
<br />.90
<br />Int.
<br />Curve 5° 10° 15° 20° 25° 30° a5:,
<br />40° •
<br />45'
<br />50°
<br />55°
<br />60°
<br />65°
<br />79° 20° ' T=.OG
<br />Angle
<br />F=,000
<br />.011
<br />,017
<br />.24
<br />.022
<br />.33
<br />..028
<br />.40
<br />.034
<br />.40
<br />.038
<br />.58
<br />.045
<br />.67
<br />.051
<br />.75
<br />.057
<br />.83
<br />.063
<br />.90
<br />.070
<br />.99
<br />.076
<br />1.06
<br />.083
<br />1.14
<br />So T=.02 .03 .05 ,06- -:.08' .10 .11
<br />.13..
<br />.15
<br />.16
<br />.18
<br />.20.
<br />.21
<br />.23 Zso; .-T=.08.10
<br />E=.000 .000 .001 .001 '.002 .002 -.002
<br />.003
<br />:003
<br />,.004
<br />.004
<br />.004
<br />.005
<br />.005 E=.009
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.083
<br />.093
<br />.lOG
<br />.120
<br />.127
<br />.135
<br />10° T=.03 .06 .09 .13' .16 .19 .22
<br />.25
<br />-.28.:.31
<br />.34
<br />:38
<br />-.42
<br />.46 300.;-.. T=.10
<br />.19
<br />.29
<br />.39
<br />.49
<br />.59
<br />.g9
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />E=.001 .003 .004 '.006 .007 .008 ..009
<br />.011
<br />.012
<br />`.014
<br />.015
<br />:017
<br />.018
<br />.020 E=.013
<br />.025
<br />.22
<br />.038
<br />.34
<br />.051
<br />.47
<br />.065
<br />.58
<br />.078
<br />.G9
<br />.090
<br />.SO
<br />.103
<br />.93
<br />.116
<br />1.05
<br />.129
<br />1.17
<br />.149
<br />1.29
<br />.170
<br />1.42
<br />.179
<br />1.54
<br />.188
<br />1.66
<br />15° T=.041 .10 .14 .19 .24 .29 .34
<br />.39
<br />.45
<br />.51
<br />':53
<br />.58
<br />.63
<br />.68 350,: T=.11
<br />E =.003 :007 :010 .014 .018 .023 .027
<br />.029
<br />.032
<br />.035
<br />:039
<br />.043
<br />.047
<br />.051 E=.018
<br />.035
<br />.26
<br />.054
<br />.40
<br />.072
<br />.53
<br />.080
<br />.109
<br />.131
<br />.93
<br />.153
<br />1.08
<br />.175
<br />1.20
<br />.197
<br />1.34
<br />.213
<br />149
<br />.230
<br />164
<br />.247
<br />1.79
<br />.204
<br />1.94E=.006
<br />20' T=.06 .13 .19 .26 .32 .39 .45
<br />.51
<br />.58
<br />.65
<br />' .72
<br />:79,
<br />.84
<br />.90 400 ; T=.13
<br />.011 .017 .022 .028 .034 .038
<br />.045
<br />.051
<br />,057.063
<br />.070
<br />;76
<br />.083 E =.023
<br />.046
<br />.070
<br />.093
<br />.172
<br />.203
<br />.234
<br />2G5
<br />.277
<br />.290
<br />.31b
<br />341
<br />2�oT=.08 .16 .24 ,.33 .40 .49 .58
<br />.67
<br />.75
<br />.83
<br />.90
<br />.99
<br />1.06
<br />'L14 450 ; --T=.15
<br />.30
<br />.44
<br />.60
<br />±.67.80
<br />1.0G
<br />1 71
<br />1.37
<br />1.:>2
<br />1.70
<br />1.87
<br />2.042.21
<br />E=.009 .016 ,027 .036 .046 .05B .065
<br />.074
<br />.083;.093
<br />.106
<br />.120
<br />.127
<br />;135 y .E=.030
<br />.060
<br />.093
<br />.119
<br />.216
<br />X54
<br />.289
<br />325
<br />351
<br />378
<br />.411
<br />.445
<br />
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