|
II . TABLE L_- Tangents and Externals to a,l',,Curve..
<br />Chord ='100 ft.
<br />Int.
<br />.Angle
<br />Tangent
<br />External',
<br />In£..
<br />Angle
<br />Tangent
<br />Extern<<1
<br />Int.
<br />. Angle-
<br />Tangent
<br />External
<br />t°
<br />50.00
<br />.22
<br />8°
<br />400.06
<br />•13:99
<br />15° ''
<br />754.32
<br />49.44
<br />10'
<br />55.34
<br />.20
<br />10'
<br />409.03
<br />14.58
<br />10'
<br />1762.80
<br />50.55
<br />20
<br />116,67
<br />.89;
<br />20
<br />417.41
<br />15.18
<br />1.20
<br />771.29
<br />51.68
<br />,30
<br />75101
<br />.49.:
<br />•; 30
<br />425,79
<br />15.80 .
<br />30;'
<br />.779,77
<br />.:52.52
<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 />:>O
<br />442.55
<br />17,07
<br />:50
<br />798.75
<br />55.13
<br />2
<br />100,07
<br />S7 ;'
<br />9
<br />450.03
<br />17.72 '
<br />16
<br />805.26`
<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 />116.08
<br />1.19
<br />. 20
<br />467.71
<br />19.00,
<br />'20
<br />822.25
<br />58.70
<br />"0 -
<br />-125.02
<br />1,36
<br />30-
<br />476.10
<br />19.75 .
<br />- 30-
<br />830.75
<br />--59.91
<br />40
<br />.133.36
<br />1.55
<br />40
<br />484.49
<br />20,35
<br />4b
<br />839:27-
<br />•61,14
<br />`60 '
<br />111.70
<br />1.75
<br />50
<br />492.88
<br />21.16
<br />50
<br />847.78
<br />:62,33
<br />3
<br />150.04,
<br />1.96
<br />10
<br />501.28
<br />21.89
<br />17
<br />856630
<br />63.63
<br />1.0
<br />158:38
<br />,-2.10
<br />10
<br />509.68
<br />22.62•
<br />10
<br />864:82'
<br />64:90
<br />20
<br />'-1GG,72,
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />20-
<br />•873,35
<br />66.18
<br />-.30
<br />-175.W
<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
<br />' 26:50.
<br />18
<br />907.40,
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />ol0
<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 />085.36
<br />.29,82
<br />40'
<br />941.69
<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 />78.20
<br />S-
<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 />30
<br />610:64
<br />'32.45
<br />10
<br />967.38
<br />374.2
<br />20
<br />2G6.8r,
<br />.275.21
<br />- 6.21
<br />; 20
<br />619,07•
<br />33.35
<br />20
<br />.975.96
<br />.81:09
<br />82.53
<br />30
<br />;
<br />,..6.61
<br />30
<br />627.50-
<br />34.26
<br />,
<br />30 '
<br />984.53;
<br />83.97
<br />40
<br />.233,57
<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 />30q.28
<br />_ 7,86'
<br />13
<br />652.81
<br />37.07
<br />.20
<br />1010.3
<br />88,39
<br />.,!:-.;.Io
<br />: 30864
<br />", 8:31
<br />--
<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 />6G9.70
<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 />96.91
<br />7,
<br />350.41.
<br />10.71
<br />14
<br />4703.51.•
<br />43.03
<br />21
<br />1061.9
<br />97.57
<br />10
<br />.333:81,
<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 />100.75
<br />30
<br />,375:54
<br />-12,2p:
<br />_ 30
<br />728,90
<br />46: I8'
<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 />'303.97
<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 />Anglo
<br />Curve 5'
<br />10°-
<br />150 20° 250
<br />300
<br />35o
<br />40° 456 500 .55° 60° 65'
<br />70'
<br />5.
<br />T=,02 _
<br />.03
<br />05 .06. 08
<br />,10
<br />.1P
<br />,13 .15 .18 .18 ,20. .21
<br />.23
<br />1861.7
<br />E =.000
<br />'.000
<br />.001 .001 .002
<br />.09 .13 :16
<br />.002
<br />.19
<br />.002
<br />.22
<br />.003 .003 .004 .004,'.004 .005
<br />.25 •..28 .3l .34' .38. . -2
<br />'.005
<br />.46^
<br />10' T=.03
<br />A6
<br />297.7
<br />E,001
<br />.003
<br />.004 .006 .007
<br />.008
<br />.009
<br />.011 .612 .014 .015 .017 .018
<br />•.020
<br />150
<br />T=.04
<br />.10
<br />.14 .19 .24
<br />.29
<br />.34
<br />A9 .45 .51 .53 .58. 63
<br />.68
<br />30
<br />E=.003
<br />A07
<br />, .010 .014 .018
<br />.023
<br />.027
<br />.029 .032 .035 .'439, , .043047
<br />.051
<br />40o
<br />T=.06
<br />.13
<br />19 .26 32
<br />.39
<br />.45
<br />.61 .58 .65 .72 .,71 .84
<br />'.90
<br />1526.3
<br />E=.000
<br />.011
<br />A17 .022 ,028
<br />.034
<br />.038
<br />.045 .051 -.057 .063 '.070 .076
<br />.083
<br />25°
<br />T=,08
<br />.16
<br />2.14
<br />,24 .33 .40
<br />.49
<br />.58
<br />.67 .75 .83 .90 1.06
<br />119.12
<br />E =.009
<br />A]8
<br />.027 .030 .00
<br />.056
<br />.065
<br />.99
<br />.074 .083 .093 .100 .120 .127
<br />.135
<br />T,enLF I.'= Tangents and Esteihalsto a 1° Carve. III
<br />Chord --100 f t.
<br />Angle
<br />Tar�ent
<br />Extenial
<br />Int.
<br />'Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />220
<br />1113. ,7
<br />107.24
<br />290
<br />1481.S
<br />186.51
<br />2 .
<br />1861.7
<br />294.9
<br />:10'
<br />1122A
<br />108.90
<br />10'
<br />1490.7
<br />190.74
<br />._ 10'
<br />1870.9
<br />297.7
<br />2U
<br />1131.0
<br />110.57
<br />20
<br />.1499:6
<br />192.99 ;
<br />20
<br />1880.1
<br />300.6
<br />U
<br />1139:7.
<br />112.25
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1389.4
<br />303.5
<br />40
<br />114.3.4
<br />113.95
<br />40
<br />2517.4
<br />197.53 '
<br />40
<br />•199 a:6
<br />306.4
<br />50
<br />1157.0
<br />115.GG
<br />50_
<br />1526.3
<br />199.82
<br />50
<br />I907.9
<br />309.3
<br />23'"
<br />lIG5.7
<br />117.38
<br />30
<br />1535.3
<br />202.12
<br />37
<br />191.7 .1
<br />_.312.2
<br />11)
<br />117.1.4
<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 />1502.1
<br />200.12
<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 />1054.3
<br />".324.1
<br />5U
<br />1209.2
<br />126,20
<br />50
<br />1580.0
<br />213,8G -
<br />50
<br />1963.6
<br />.327.1
<br />24' ..1217,9
<br />1.64 '1.66
<br />128.00
<br />31
<br />0
<br />216.'3
<br />38'
<br />1972.9
<br />330.2-
<br />10
<br />1626.6
<br />129.82
<br />10
<br />'1598:1589.0
<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 />1901.5
<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 />2010.2
<br />339.3
<br />342.4
<br />40
<br />50
<br />1252.8;
<br />1261.5
<br />135.35
<br />137.23
<br />40
<br />50
<br />1624.9
<br />1633.9
<br />226.0
<br />228.4
<br />••40
<br />'50
<br />2019.6
<br />345.5
<br />25,
<br />1270.2
<br />139.11
<br />32
<br />1043.0
<br />230.9 .
<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 />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 />2066:0
<br />361.3
<br />SD
<br />1314.0'
<br />148.75'
<br />50
<br />1688.1
<br />243.5
<br />•"50
<br />2076.0
<br />364.5
<br />20
<br />1322,8
<br />150.71-
<br />33
<br />1697.2
<br />246.1
<br />40
<br />2085.4
<br />357.7
<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 />1353.0
<br />158.72
<br />40
<br />1733.5
<br />256.5
<br />40
<br />2123,3
<br />380.8'
<br />60
<br />1366.8
<br />160,76
<br />50
<br />1742,6
<br />259.1
<br />5D
<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 />- 394.1
<br />30
<br />1402.0i
<br />1G9.04
<br />30
<br />1779.1
<br />2139.9
<br />30
<br />2176.8
<br />397.4
<br />40
<br />1410.0
<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 />2180 D
<br />404.2
<br />-28,.
<br />1428.6
<br />175.41
<br />36
<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 />401464.0
<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 />•Angle
<br />.Curve 5°
<br />10°
<br />15°
<br />20°
<br />250
<br />300'
<br />35'
<br />400
<br />450
<br />50°
<br />55°
<br />60,
<br />65'
<br />70°
<br />20°
<br />.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65.72
<br />79
<br />.84
<br />.90
<br />T=.06
<br />•.13
<br />E=.006
<br />.011
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.015
<br />.051
<br />.057
<br />,063
<br />.970
<br />.076
<br />.083
<br />25°
<br />T-.08
<br />.16
<br />.21
<br />33
<br />,.40
<br />,49
<br />58
<br />67
<br />.75
<br />.83
<br />.90
<br />.99.
<br />1.14
<br />E=.009'
<br />,018
<br />`.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />'..074
<br />.OS3
<br />.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />34o
<br />T=.10
<br />1'J
<br />29
<br />.39
<br />.49
<br />.59
<br />.69
<br />."r9
<br />' .89
<br />.99
<br />1.09
<br />1.E0
<br />L29
<br />1.39
<br />E=.013-
<br />.025
<br />.038
<br />•051
<br />.065
<br />.076
<br />.000
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />-.188
<br />35°
<br />T ='Al
<br />.22
<br />.34
<br />.47
<br />'.58
<br />.69
<br />.90
<br />.43
<br />1.05
<br />1.17
<br />1.29
<br />1.42
<br />1.64 '1.66
<br />E=.019 "
<br />.035
<br />.0542
<br />.0862
<br />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />230 .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 />.016
<br />.070
<br />.093
<br />.117
<br />.141
<br />.1.2
<br />.2D3
<br />.234
<br />265
<br />,277
<br />.390
<br />.315
<br />,341
<br />45°
<br />T=.15
<br />34
<br />.44
<br />.60
<br />.76 '
<br />.91
<br />2.46
<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 />.093
<br />.119
<br />.153
<br />.184
<br />21.6
<br />.254
<br />.289
<br />.325
<br />351
<br />.378
<br />.411
<br />.445
<br />
|