|
II TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />"I`j
<br />External
<br />Int., + /
<br />,Angle`
<br />+ - - 1
<br />Tangent
<br />! „ t r•)
<br />Exteirnal.
<br />Int.
<br />-Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />ra
<br />.22-
<br />-`�8° > °
<br />- 460566•
<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 />4r':89Y
<br />20 :
<br />417.41
<br />15:18
<br />;`-20
<br />771.29
<br />51.68
<br />30
<br />75.01
<br />1,=:49-
<br />130't
<br />:425.79
<br />11 15.80
<br />x40
<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 />.003
<br />.004
<br />.006
<br />.007
<br />442.55,
<br />_,17.07
<br />.50:..
<br />_796:75r
<br />^ 55.13
<br />.018
<br />.020
<br />15o
<br />T=.04
<br />.10'
<br />.14
<br />.19
<br />.24
<br />.29
<br />.34
<br />.39 A5
<br />:87
<br />'''1.02
<br />9_
<br />450.93
<br />,17.72
<br />16,.
<br />8.25
<br />05
<br />'-813:75
<br />.56.31
<br />10_
<br />,108:35
<br />"1'.19.'
<br />10
<br />459132
<br />18:38
<br />10
<br />"822.25
<br />57.50
<br />-`20
<br />1116:68
<br />T=.06"
<br />"°".20'
<br />467.71'
<br />r"19:06
<br />2V
<br />.39
<br />' 58.70
<br />'30;,
<br />r 125'.02;
<br />. 1:3G :
<br />' . '30 '
<br />476.10'
<br />1 ,19.75 -
<br />x'30,;
<br />-830:76
<br />40..
<br />' ,, 59.91
<br />-
<br />'-433.36
<br />(. rL 55 .:
<br />. C 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 />.83 .90
<br />.99
<br />1.06
<br />1.14
<br />1598.0
<br />E=.009
<br />.018
<br />.027.•
<br />.036
<br />8'
<br />150.04"
<br />"1'•96
<br />10 '
<br />-'501:28
<br />'21:89
<br />17'`'
<br />856:30
<br />63.63
<br />1-:-j 10
<br />•158.381.:2:.10
<br />-
<br />--= 10
<br />:509:68
<br />1 ',22.62
<br />10
<br />-864.82
<br />•`.64.90
<br />20-
<br />166.72
<br />2.43
<br />20
<br />518.08=
<br />Zy` 23.38 ,
<br />• '_. T 20 •
<br />?/873.35'
<br />`; 66.18
<br />30
<br />175.OG
<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 />40r
<br />i` 534,189..�ii24.91
<br />230.9
<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 />`•20
<br />1287.7 '
<br />142.93
<br />:-�20
<br />1661.0
<br />235.9
<br />20
<br />2047.8
<br />'354.9
<br />4
<br />200:08
<br />1--•3:49`
<br />iT•x '
<br />=551 70
<br />•` 26'.50 u-
<br />48 =.=
<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 />28:971
<br />-: i .-30 -
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />"5.10
<br />,,It 40.,..585:3G
<br />170G!3�
<br />29:82.40
<br />�•`-'10
<br />941.69
<br />76.86
<br />50
<br />241.81
<br />154.69 j
<br />50-
<br />'593.79"'
<br />30168'-
<br />50
<br />950.25
<br />78..26
<br />30
<br />1349`2
<br />156.70 -
<br />G.�30,
<br />1724.'4'
<br />253.9
<br />f "'30
<br />2113:8
<br />377.5
<br />5
<br />250.16
<br />5.46
<br />121'.
<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
<br />6.21'
<br />°(3420.,'619,:07
<br />1751
<br />,33:35,
<br />,-.20
<br />•975.96
<br />82.53
<br />30
<br />275.21
<br />x.6.61 ,
<br />,- 30
<br />627.50
<br />? 34.26_
<br />130
<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 />0.130'
<br />644.37
<br />36;12
<br />•=30
<br />1001.7
<br />86.90
<br />i• 40
<br />1410:9 1
<br />171.15 -
<br />.; 1,.50
<br />1788.2-
<br />-�
<br />y _50
<br />2180.3
<br />400.8
<br />50
<br />1419.7
<br />•
<br />272.6
<br />0•+50
<br />1797.41
<br />r
<br />50
<br />2189.9
<br />404.2
<br />6
<br />300.28,
<br />7.86
<br />13
<br />652.81.
<br />37.07•
<br />42
<br />1010.3,`
<br />88.39
<br />10
<br />308:64
<br />• 8.31
<br />•���•10•`
<br />661.25'
<br />38.03-
<br />•20"",
<br />-'t•10-
<br />101819 -
<br />89.89
<br />20
<br />1316.99;
<br />8.76
<br />20669.10
<br />669:70
<br />39.01.+
<br />n 20
<br />1027,5,-,,.
<br />91.40
<br />30
<br />325.35'
<br />9.23
<br />30-"'678:1'5
<br />1834:1
<br />,_
<br />39.99
<br />30
<br />1036;1
<br />92.92
<br />40 .-333-71-
<br />1464.0
<br />- 9.71
<br />40.,
<br />686:60
<br />40.99`
<br />° 40
<br />1044:7',
<br />94.46
<br />50 `342:081
<br />1472.9 '
<br />X10.20
<br />ti1--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 />703.511'
<br />'43.03
<br />21
<br />1061.9''
<br />97.57
<br />10 ,.
<br />358.81c
<br />11.22
<br />sli--10-•
<br />711.97
<br />y144.07
<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 />11-12:20]
<br />c�;, 30 .11728.90
<br />1r,'4465'.18'
<br />``30<.
<br />_1079.2
<br />1087:81.
<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 />501=
<br />X745.85
<br />' 48':34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added d((T=Tangent. E=External.)
<br />Int•
<br />Int.
<br />o
<br />Curve S.
<br />o
<br />10
<br />15°
<br />o'
<br />20
<br />�• o
<br />25
<br />o�
<br />3 0 `
<br />0
<br />S5%
<br />0 0
<br />40 45
<br />50° 55 0
<br />60 0
<br />65 0-
<br />70-
<br />70
<br />5o
<br />T=.02
<br />.03
<br />.05
<br />.06
<br />.08
<br />'
<br />.10 '
<br />' .11'
<br />:13, .15
<br />.16 .18
<br />.20
<br />.21
<br />.23
<br />297.7
<br />E=_000
<br />.000
<br />.001
<br />.001
<br />.002
<br />-,.002..002
<br />20
<br />_.003 %.003
<br />.004 .004
<br />.004
<br />.005
<br />.003_
<br />loo
<br />T=.03
<br />.06
<br />.09,
<br />:13-
<br />.16
<br />.19
<br />.22
<br />.25-'.28`,.31
<br />.34
<br />.38
<br />.42
<br />.46
<br />'1898:6
<br />E=.001
<br />.003
<br />.004
<br />.006
<br />.007
<br />..008
<br />,-.009
<br />.011 .012
<br />-:014 .015
<br />.017
<br />.018
<br />.020
<br />15o
<br />T=.04
<br />.10'
<br />.14
<br />.19
<br />.24
<br />.29
<br />.34
<br />.39 A5
<br />.51' -.53
<br />'-039
<br />.58
<br />.63
<br />.68
<br />10
<br />E-.003 ,
<br />r'-007,'.010,
<br />20 ''1153'.1;
<br />.014
<br />.018-.023
<br />•• '20
<br />.027
<br />.029 .032
<br />.035
<br />.043
<br />.047
<br />.051
<br />20-1
<br />T=.06"
<br />.13
<br />•`:19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51 .58
<br />.65+ .72
<br />':79
<br />.84
<br />.90
<br />211.48
<br />E:4.006
<br />.011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045 .051
<br />:Q57 .063
<br />.070-076
<br />4963.6
<br />.083
<br />250'
<br />T=.08
<br />.16
<br />.24.
<br />.33
<br />.40
<br />.49
<br />.58
<br />.87 .75
<br />.83 .90
<br />.99
<br />1.06
<br />1.14
<br />1598.0
<br />E=.009
<br />.018
<br />.027.•
<br />.036
<br />.048
<br />.056
<br />.065
<br />.074 .083,
<br />.093 .106
<br />.120
<br />.127
<br />.135
<br />TAill•E L=.Tangent9-arid'Exte'rnals•t0 a-1°.Curve::' TII
<br />Cho"rd'.=-100"ft." ,
<br />Int..-,'
<br />-gl�
<br />.
<br />Tangent
<br />? I
<br />External
<br />t Int. -
<br />-Angle
<br />Tangent
<br />i
<br />External !
<br />- Int. -
<br />Angle
<br />Tangent
<br />External
<br />22"�
<br />1113:7
<br />107'2.1 1
<br />29°.'
<br />1481.8
<br />188.51
<br />36"
<br />4861-.7
<br />294:9
<br />10t
<br />412_,14
<br />108.00
<br />�i 10'
<br />1490:7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />1'20 ``1131:0'
<br />.84
<br />110.57 I
<br />'-'-20
<br />1499.61
<br />192.99
<br />20
<br />4880.4
<br />'300.6
<br />'30 ;
<br />'1.139.7
<br />11225
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1889.4303.5
<br />.083
<br />"!40
<br />1148;.'4' 1
<br />1-13..95
<br />'-'40
<br />1517.4
<br />197.53 ?
<br />-'-40
<br />'1898:6
<br />'306.4
<br />-50
<br />4157:0;
<br />115.66
<br />!•=50
<br />1526:3
<br />199.82
<br />''-- 50
<br />4907:9
<br />309.3
<br />23
<br />"1105.7'
<br />I
<br />117.38
<br />30 '
<br />1535.3
<br />'202.12
<br />37 --`
<br />'1917.1
<br />312:2
<br />10
<br />11174.4
<br />119.12,••',10
<br />30°-'
<br />1544:2
<br />204.44
<br />10
<br />1926.4
<br />315.2
<br />20 ''1153'.1;
<br />.69
<br />120.57 1.
<br />•• '20
<br />1553.1
<br />206.71 -
<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 />•140
<br />1571.-0
<br />211.48
<br />40
<br />1954.3
<br />-324.1
<br />'50
<br />1209.2 ;
<br />126.20 '
<br />i
<br />••^50
<br />1580.0
<br />'213.86
<br />50
<br />4963.6
<br />327.1
<br />241217:9
<br />1:54
<br />128:00
<br />31- -
<br />1589.Q
<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 />.-1'20
<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 />12;52.8,
<br />135.35
<br />40
<br />1624:9
<br />226.0
<br />40
<br />2010.2
<br />342.4
<br />50
<br />3261.5
<br />137.23 f
<br />" •50
<br />1633.9
<br />228.4
<br />•-50
<br />2019.6
<br />-345.5
<br />28.,
<br />i
<br />1270.2
<br />139:11
<br />82 -' '
<br />1043.0
<br />230.9
<br />39
<br />2029.0
<br />348:6
<br />10
<br />1270.0
<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 />144:55
<br />'e.=30
<br />1670.6
<br />238.4
<br />30
<br />2057:2
<br />358.1
<br />'-40
<br />1305.3
<br />146.79
<br />--40
<br />1679. V
<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 />!W*
<br />f
<br />1322.8 -
<br />150.71`
<br />83'
<br />169t.2
<br />246:11
<br />Wlid
<br />2085:4
<br />367.7
<br />•''10
<br />1331.6 ,
<br />152.69
<br />10,
<br />170G!3�
<br />248.7
<br />�•`-'10
<br />2094.9
<br />371.0
<br />20
<br />1340'.4
<br />154.69 j
<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 />G.�30,
<br />1724.'4'
<br />253.9
<br />f "'30
<br />2113:8
<br />377.5
<br />40
<br />135S:0
<br />158.72.40
<br />1733.5
<br />256.5
<br />••'40
<br />2123.3
<br />380.8
<br />50
<br />13668
<br />160.76
<br />0•<50
<br />1742.6•
<br />259.1
<br />1•;50
<br />2132.7
<br />384.1
<br />27 ti'
<br />1375:6
<br />162:81
<br />34`
<br />1751
<br />261:&
<br />41
<br />2142.2
<br />387.4
<br />-10
<br />1384'.4
<br />164:86
<br />10
<br />1760:.71 8'•
<br />264.5
<br />• 10
<br />2151.7
<br />390.7
<br />y20
<br />1393;2
<br />j
<br />`x•120
<br />1770:0
<br />2637.2
<br />20
<br />2161.2
<br />394.1
<br />•Z-30
<br />11G6.95
<br />1402-0 {
<br />169.04 (
<br />0.130'
<br />1779111269.9.
<br />•=30
<br />2170.8
<br />-397.4
<br />i• 40
<br />1410:9 1
<br />171.15 -
<br />+")•�40,
<br />1788.2-
<br />40
<br />2180.3
<br />400.8
<br />50
<br />1419.7
<br />173.27 '.
<br />272.6
<br />0•+50
<br />1797.41
<br />275.3
<br />50
<br />2189.9
<br />404.2
<br />28 yr i
<br />142876
<br />175.41
<br />35
<br />1806.(
<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 />181.59
<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 />239.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.9 '
<br />186.29
<br />r. 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 />In
<br />Angle
<br />iCtirve 5°;
<br />10°I
<br />15°
<br />20°f
<br />25°;
<br />30°•
<br />35°
<br />40°
<br />"45°
<br />'S0°;
<br />'55°
<br />60°-
<br />,65°
<br />'.70°
<br />20°
<br />T=.06'
<br />A3
<br />'.19'
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51-
<br />.58;
<br />.65.
<br />.72
<br />779-
<br />.84
<br />.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
<br />.083
<br />250
<br />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
<br />1.14
<br />'01E-.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
<br />.135
<br />30°-'
<br />T=.10
<br />.19
<br />.29
<br />.39
<br />.49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />E=.013
<br />_.025
<br />.038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />:170
<br />.17.9
<br />.188
<br />85°
<br />T=.11
<br />'.22.34
<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 =.Q18
<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 />40°
<br />T=.13
<br />.26
<br />'.40
<br />.53
<br />.67
<br />.80
<br />.93
<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 />.046
<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 />45°
<br />T=.15
<br />.30
<br />'.44
<br />.60
<br />.76
<br />.91
<br />1.08
<br />1.21
<br />1.37
<br />1.52
<br />1.70
<br />1.87-
<br />2.04
<br />2.21
<br />E=.030
<br />.060
<br />.0931.119
<br />.153
<br />.184
<br />,216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
|