|
OI
<br />IT TABLE 1. - Tangents and External$ to a 10Curve.
<br />f'hnrrl -100 ft.
<br />sje
<br />Tangent
<br />External .
<br />Int.
<br />Tangent
<br />External
<br />Int,
<br />Angle
<br />Tangent
<br />External
<br />1°
<br />50:00
<br />107.24
<br />8°
<br />400.66
<br />13.99
<br />' 16°
<br />754.32
<br />49.44
<br />10'
<br />58.34
<br />.22=
<br />10`
<br />409.03'
<br />14.58,
<br />10'
<br />752.80
<br />50.55
<br />20
<br />66.67
<br />.30
<br />.39
<br />20
<br />417.41
<br />15:18
<br />-20
<br />30
<br />771.29
<br />779.77.-
<br />51.63
<br />52.82 '
<br />30
<br />75.01
<br />33.34
<br />.49'
<br />30
<br />40
<br />425.70
<br />4&4.17
<br />15.80'
<br />16.43
<br />40
<br />788.20.
<br />53:97
<br />40
<br />50 ,.91.68
<br />.48
<br />.032
<br />.6:1
<br />.73
<br />50
<br />442.55
<br />17.07
<br />50
<br />796.75 -
<br />$5.13 e.
<br />2
<br />100.01
<br />.58
<br />,051
<br />9
<br />450.93.
<br />17.72
<br />-16
<br />805,25
<br />56.31
<br />10
<br />108.35
<br />.87
<br />1.02
<br />10
<br />459.32
<br />.18.38
<br />10 -
<br />313.75
<br />' 57.50
<br />20
<br />116.65
<br />i.10
<br />20
<br />467.71
<br />19.06'
<br />20
<br />522.25
<br />58.10
<br />30
<br />125.02
<br />1.36
<br />30
<br />470.10
<br />484.49
<br />19.75
<br />20.45
<br />30-
<br />40
<br />830.76
<br />839.27
<br />;i9-91
<br />61.14
<br />40
<br />50"
<br />133.35
<br />141.70
<br />1.55
<br />1.75
<br />40
<br />50''
<br />492.88
<br />21.16
<br />50
<br />847.78,
<br />62.38
<br />3
<br />150:04
<br />1.96
<br />10
<br />501:2$
<br />21.89
<br />17
<br />10
<br />856.30
<br />63.63
<br />64.90
<br />10
<br />153-38
<br />2.19
<br />10
<br />20
<br />509.68
<br />518.08
<br />. 22.62
<br />23.38
<br />20
<br />.864.82-
<br />873.35:
<br />66 -IS
<br />20
<br />30
<br />160.72
<br />175.06
<br />2.43
<br />2.67
<br />3O
<br />526:48
<br />24,14
<br />30
<br />831.86
<br />07.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />534.89
<br />24.91
<br />40
<br />50
<br />890.41
<br />898.95
<br />G3.77.
<br />70.09
<br />50
<br />191'.74
<br />3.21
<br />50'
<br />543:29
<br />25.7%
<br />20
<br />1901.5
<br />. 336.3
<br />4
<br />200•,.08
<br />3.49
<br />11
<br />651.70
<br />26.50
<br />18
<br />907,49
<br />71.42
<br />72.76
<br />10
<br />203.43
<br />3.79
<br />1.0
<br />560.11
<br />27.31
<br />.10
<br />20
<br />91G,03
<br />924.58
<br />74.12
<br />20
<br />30
<br />216.77
<br />225.12
<br />4.10
<br />-4.42
<br />20
<br />30
<br />5G8.53
<br />576.95
<br />28.1.1
<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 />941.69
<br />76.66
<br />,
<br />50
<br />241.81
<br />_
<br />5.10
<br />50•
<br />593.79
<br />30.6S
<br />- -50
<br />950.25
<br />78.26
<br />5
<br />250.10
<br />6,46
<br />12
<br />602.21
<br />31.56
<br />19
<br />958.81
<br />79,67
<br />81.09
<br />10
<br />255.51
<br />5.83
<br />10
<br />G10.G4
<br />32.45
<br />10
<br />WAS
<br />"975.90
<br />92.53
<br />20
<br />266.86
<br />275.21
<br />-6.21
<br />6.61-
<br />.20
<br />30
<br />619.07'
<br />627.50
<br />33.35
<br />34.20
<br />.20
<br />30
<br />984.53
<br />83.97 ,
<br />30
<br />40
<br />283.57
<br />7,01
<br />40
<br />635.93
<br />35.18
<br />'40
<br />50
<br />993.12
<br />3001.7
<br />55.43
<br />86,90
<br />50
<br />•291.92
<br />7.43
<br />.50
<br />644,37
<br />36.12
<br />40
<br />20S5.4
<br />367.7
<br />6
<br />300.28
<br />7.86
<br />13
<br />652.61
<br />37.07
<br />20
<br />10
<br />1010.3...
<br />1018.9
<br />88.39
<br />8j. So
<br />10
<br />20
<br />305.64
<br />316.90
<br />8.31
<br />8.76
<br />-10
<br />20
<br />661.26
<br />669.70
<br />38.03
<br />39:01"
<br />2D
<br />1027.5
<br />91.40
<br />30
<br />.
<br />325.35
<br />9.23
<br />30
<br />673.15.
<br />39,99
<br />30'
<br />1036.1
<br />92.02
<br />40
<br />333-71
<br />9.71
<br />40
<br />68.0. 60
<br />40.99
<br />40
<br />50
<br />1044'.7
<br />1053.3.
<br />94.46
<br />96.01
<br />50
<br />342.08
<br />10.20
<br />„ 50
<br />695.06
<br />42.00
<br />50
<br />'2132.7
<br />.334.1
<br />7
<br />350.44
<br />10.71
<br />14 -
<br />703.51
<br />43.03
<br />.21
<br />10
<br />1061-9
<br />1070-6
<br />97,57
<br />99.16
<br />10
<br />358.81
<br />367.17
<br />11.22
<br />11.75
<br />10
<br />20
<br />711.97
<br />720.44
<br />44.07
<br />45.12
<br />20
<br />1079.2
<br />100.75
<br />20
<br />30
<br />375.54
<br />12.29
<br />30
<br />72S.90
<br />40.18
<br />30
<br />1087.S
<br />102.35
<br />103:97
<br />40
<br />383.91
<br />12.35
<br />40
<br />737.37
<br />47.25
<br />40'
<br />50
<br />1096.4
<br />1105.1
<br />105.60
<br />50
<br />392.28
<br />13.41
<br />50
<br />745.85
<br />48.34
<br />40
<br />2180.3
<br />400.8
<br />Corrections to be Added (T =Tangent. E=External.)
<br />5°
<br />10° 15°
<br />20°
<br />250 30°
<br />Tangent
<br />External
<br />45°
<br />50° 55° 60°
<br />65°
<br />70°
<br />Angie Chrve
<br />107.24
<br />290
<br />1481.8
<br />188.51
<br />36°
<br />186 L. 7
<br />294.9
<br />- 301.
<br />1.122.4
<br />T=.02
<br />5° E =.000
<br />•03 .05
<br />.000 .0D1
<br />.06
<br />.001
<br />-.08 .10
<br />.002 .002
<br />101'
<br />7.2215
<br />.15
<br />,003
<br />.16 .18 .20
<br />.004 .004 •00-4
<br />.21
<br />.005
<br />a3
<br />.OQ
<br />T =-03
<br />.05 '.09
<br />.13
<br />.16 .19
<br />.007 .008
<br />1S80.1
<br />300.6
<br />.28
<br />.D12
<br />31 .34 .33
<br />.014 .045 .017
<br />.42
<br />.018
<br />.4001
<br />.02
<br />T=.01
<br />15°
<br />.003 .004
<br />19 .14
<br />.00+" .010
<br />.006
<br />.19
<br />.014
<br />,24 ?9
<br />.018 .023
<br />.34
<br />.027
<br />°9
<br />.029
<br />.48
<br />.032
<br />.51 ,53 .58
<br />.035 .033 .043
<br />.63
<br />.047
<br />.68
<br />.05
<br />24° T =.OD
<br />.13 .19
<br />.25
<br />.92 .39
<br />- 50
<br />1157.0
<br />.58
<br />,051
<br />G5 .72 .79
<br />.057 .063 .070
<br />.84
<br />JO
<br />E =.006
<br />,011 .017
<br />622
<br />.028 .034
<br />ift
<br />117.36
<br />30
<br />1635.3
<br />'LG5
<br />1.I4
<br />25° T=.08
<br />.16 .24
<br />.33
<br />.40 .49
<br />119.12
<br />10
<br />.75
<br />.83 .90 .99
<br />10 ;
<br />.I3
<br />E-.009
<br />.018 .027
<br />.035
<br />.040 .036
<br />,20
<br />1553.1
<br />•083
<br />.093 .106 .120
<br />.127
<br />3t8,1
<br />TABLE 1-- Tangents and Externals to a la Curve, TIS
<br />Chard =100 ft.
<br />Ink
<br />--Angle
<br />Tangent
<br />External
<br />1°t"
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />-Angle
<br />TanSent
<br />_
<br />External
<br />11.13.7
<br />107.24
<br />290
<br />1481.8
<br />188.51
<br />36°
<br />186 L. 7
<br />294.9
<br />- 301.
<br />1.122.4
<br />108.90
<br />-10''t490.7
<br />65°
<br />•190.74
<br />101'
<br />1870.9
<br />297.7 '
<br />20
<br />1'131.0
<br />140.57
<br />20
<br />1499.6
<br />192.99
<br />.20
<br />1S80.1
<br />300.6
<br />30
<br />1139,7
<br />112.25.
<br />- 30'
<br />1508.5
<br />195.25
<br />30 '
<br />1SS9.4
<br />303.5
<br />40
<br />1148.4
<br />113-05
<br />40 ',1517.4
<br />.16
<br />197.53
<br />40
<br />1593.6
<br />306-.4
<br />- 50
<br />1157.0
<br />115,GG
<br />50
<br />1526.3
<br />199.82
<br />_ 50
<br />1907.9
<br />309.3
<br />23
<br />1165.7
<br />117.36
<br />30
<br />1635.3
<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 />20=1.44
<br />10 ;
<br />1926.4
<br />315,2
<br />--20
<br />11.83.1
<br />120.87
<br />,20
<br />1553.1
<br />206.77 -
<br />20 '
<br />1935.7
<br />3t8,1
<br />30
<br />71.191.8
<br />122.63
<br />30
<br />.179
<br />209.12
<br />30 '
<br />1945.0
<br />321,1
<br />40 i
<br />1200,5
<br />-124,41
<br />4D
<br />,1502.1'
<br />157,1,0
<br />211,43
<br />40
<br />1934.3
<br />324.1
<br />50 '
<br />-1209.2
<br />126.20
<br />50
<br />' 1580:0
<br />213.66
<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 />1901.5
<br />. 336.3
<br />30
<br />1244.0
<br />133.50•1
<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 />312.4
<br />1.50
<br />.1261.5
<br />'1.37.23
<br />50 !-1633,9
<br />.411
<br />228.4'
<br />50
<br />'2019.6
<br />315.5
<br />25
<br />1270.2
<br />139.11
<br />-32
<br />' 1643.0
<br />230.9
<br />•39
<br />2029.0
<br />343.6
<br />10
<br />1279.0
<br />141.01
<br />10
<br />1652.0
<br />233.4
<br />102033.4
<br />351.8
<br />'20 :-1287.7
<br />142.93
<br />20
<br />1661.0
<br />235.9
<br />20
<br />2047.3
<br />354.9'
<br />36
<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 />3679.1
<br />241.0
<br />40
<br />2066.6
<br />361.3
<br />50
<br />1314.0-
<br />148.75
<br />50
<br />1,688.1
<br />243.5
<br />50
<br />-2010.0
<br />354.5
<br />•26 -
<br />1322.8
<br />150.71
<br />33,
<br />1697.2
<br />246.1
<br />40
<br />20S5.4
<br />367.7
<br />•10 ;
<br />M E G
<br />152.69
<br />10
<br />1706.3
<br />248.7
<br />10
<br />2091.9
<br />371.0
<br />20.
<br />1340.'4
<br />154.69
<br />201715.3
<br />.•251.3
<br />20
<br />2104.31
<br />374.2
<br />' 30
<br />1349.2
<br />156.70 .
<br />.30
<br />•1724.4
<br />253.9
<br />30 •.2113.8
<br />377.5
<br />40 -
<br />1358.0
<br />158.72
<br />40
<br />1733.5
<br />256.5
<br />90
<br />2123.3
<br />- 330.8
<br />50
<br />..1366.S
<br />160.76
<br />50
<br />4742.6
<br />259.1
<br />50
<br />'2132.7
<br />.334.1
<br />..27
<br />.1375.6
<br />162:81
<br />34
<br />1751„7"
<br />261,8
<br />4.1
<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 />215t.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 />169.01 -
<br />30
<br />1779,1
<br />269.9
<br />30
<br />2170,3
<br />397.4
<br />40
<br />1410.9
<br />-171.15
<br />40
<br />1768:2
<br />272.6
<br />40
<br />2180.3
<br />400.8
<br />50
<br />1410.7
<br />173.27
<br />50
<br />1797.4
<br />275.3
<br />.50
<br />21.89.9
<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 />• 10
<br />2209.0
<br />411.1
<br />" 20
<br />1446:3
<br />'179.72
<br />20
<br />1324.9
<br />1.250,8
<br />283.6
<br />20
<br />2218.6
<br />4 14. 5
<br />30
<br />1455.1
<br />131.69
<br />30
<br />1.334.1
<br />286.4
<br />30
<br />2223.1
<br />418.0
<br />40
<br />3464:0
<br />LS4.OS
<br />40
<br />1343.3
<br />289.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.9
<br />136.29
<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 />Int•e
<br />An-, l Curve 5°
<br />10'
<br />15°
<br />2D°
<br />25°
<br />30° 35°
<br />4D°
<br />451,
<br />50'
<br />55° 60°
<br />65°
<br />70°
<br />-20° T=.06
<br />.13
<br />.19
<br />26.32
<br />.39 .45
<br />.51
<br />.58
<br />.68
<br />.72• .79
<br />.84
<br />.90
<br />E-.000
<br />.011
<br />.017
<br />.022
<br />.025
<br />.034 .038
<br />.045
<br />.051
<br />.087
<br />,063 .070
<br />.076
<br />.033
<br />29° T=:08
<br />.16
<br />24
<br />.33
<br />.40
<br />.49 .53
<br />'.67
<br />.75
<br />.83
<br />.90 .09
<br />1.06
<br />1.14
<br />E =.000-
<br />.018
<br />.027
<br />.035
<br />.046
<br />.056 •065
<br />.074
<br />.083
<br />.093
<br />.108 .120
<br />.127,
<br />.135
<br />30° T=.10
<br />:19
<br />.29
<br />.39
<br />.49
<br />.50 .69
<br />.70
<br />.89
<br />.99
<br />1.09 120
<br />1.29
<br />1.39
<br />.E=.013
<br />•025
<br />.038
<br />.081'
<br />,005
<br />-078_ .090
<br />.103
<br />110
<br />,129
<br />.140 .170
<br />.179
<br />.188
<br />35° P=.11
<br />22
<br />.34h7
<br />5C
<br />.69 80
<br />.93
<br />1.05
<br />1.17
<br />129 1.42
<br />1.54.1.06
<br />E =,01S
<br />,035
<br />.054
<br />.072'
<br />.036
<br />.109 .131
<br />.153
<br />.175
<br />.197
<br />.213 .230
<br />.247
<br />.254
<br />40° T=•13
<br />.25
<br />.40
<br />.53
<br />.07
<br />.80 .93
<br />1.06
<br />1.20
<br />1.34
<br />1A9 1.64
<br />1.79
<br />1.%
<br />- D=.023
<br />.046
<br />.070
<br />.093
<br />.11.7
<br />.141 .172
<br />.203
<br />.234
<br />.265
<br />.277 .290
<br />.315
<br />.341
<br />45' T=.15
<br />.30
<br />.44
<br />.607
<br />F,
<br />.91 1.09
<br />1.21
<br />1.37
<br />1.52
<br />1.70 1.S7
<br />2.04
<br />2.21
<br />E=.030
<br />.060
<br />.093
<br />.110
<br />,J,53
<br />.134 ?16
<br />.254
<br />.289
<br />.325
<br />.351 .375
<br />.411
<br />.445
<br />E
<br />'A
<br />
|