|
II TAME I. - Tangents and Externals to a 1° Curve.
<br />Chord= 100 ft.
<br />Angle
<br />Tangent
<br />External
<br />�H a
<br />Tangecit
<br />External
<br />Angle
<br />Tangent
<br />External
<br />1.
<br />50.00
<br />.t ::22
<br />8°
<br />-400.GG
<br />`;13.99
<br />115° -•
<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 />: -89,
<br />20`;
<br />417.41
<br />-1 15:18
<br />r 20
<br />771.29
<br />'51.68
<br />30-
<br />75.01
<br />x--:49-:
<br />30
<br />.7425.79,•
<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 />5O
<br />91.68 -: 91.68-
<br />-.73.
<br />•:501
<br />.,442:55...
<br />17.07
<br />,.50•,
<br />798:75-
<br />55.13
<br />.00
<br />E =.006
<br />.011
<br />.017 .022
<br />.028 .034 .038 .045 .051 .057
<br />.063
<br />.070
<br />.076
<br />.083
<br />..2-,,
<br />"
<br />100.01
<br />87
<br />j-
<br />•9,'
<br />450.93
<br />-17.72.,
<br />16
<br />-805.25
<br />56.31
<br />10
<br />20
<br />108.35
<br />1.02
<br />= J
<br />10
<br />459:32
<br />18.38
<br />10
<br />'-
<br />813.75`
<br />'57.50
<br />-58.70
<br />30 '
<br />116:68
<br />125.02
<br />• 1:10
<br />1:36
<br />-`' 20'
<br />i30*;
<br />467.:71'
<br />47G:10
<br />---19.00-
<br />19:75
<br />- 20
<br />30;,830.76.•59:91
<br />822.25'
<br />321.1
<br />40
<br />'
<br />133.86
<br />.. 1:55
<br />.,.'40
<br />484.49
<br />•20.45
<br />'21.16
<br />40
<br />.839.27_
<br />61:14
<br />150
<br />141.70
<br />' 1'.75
<br />50 ;
<br />,492.88.
<br />:213.86
<br />50 '
<br />847.78:
<br />62.38.
<br />24
<br />1217;9 ;
<br />128.00
<br />31 -,
<br />1589.6
<br />216.3
<br />88 .-
<br />1972.0
<br />330.2
<br />3
<br />-150.04
<br />1:96
<br />10,
<br />501.28
<br />21:89
<br />'17 "."
<br />'856:30
<br />'!63.63
<br />10•
<br />158'.38
<br />'• . 2.19
<br />101
<br />509.68
<br />22.62=
<br />':"-; 10 `
<br />••864.8&
<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 />-3,:
<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 />907.49_'
<br />71.42
<br />10
<br />208.43
<br />3.79
<br />10
<br />560,11
<br />27,31
<br />10 -,916.03
<br />2047:8
<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 />4.42r
<br />1-30
<br />576.95
<br />28:97
<br />,30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />40 -..,585.36
<br />1688.1
<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 />78.2G
<br />-10
<br />1331.6
<br />152.69
<br />_•t10
<br />1706.3'
<br />248.7
<br />16
<br />2094:9
<br />371.0
<br />5
<br />250.16
<br />5.46
<br />12
<br />602.21;
<br />-,31.56
<br />10
<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 />2113.8
<br />81.09
<br />20
<br />266.8G,'•,'-6:21
<br />158.72
<br />20 y
<br />-•619.07,
<br />2 ,33:35:
<br />:`,:; 20
<br />.967.38
<br />975.96
<br />82.53
<br />30
<br />275.21
<br />6.61. •
<br />30
<br />''40
<br />627.50
<br />j 34.26
<br />_ • 30 •
<br />'
<br />• 984.53
<br />83.97
<br />40
<br />283.57
<br />7.01
<br />'
<br />'635.93
<br />35.18 '
<br />''40
<br />993.12
<br />85.43
<br />50
<br />291.02
<br />,7,.43
<br />'..50
<br />644.37
<br />36.12•
<br />50
<br />1001.7
<br />86.90
<br />6
<br />300.28
<br />J 7186
<br />13
<br />1652.81.
<br />37.07.
<br />20"-
<br />1010.3 ;
<br />88.39
<br />10
<br />308:64
<br />•• 8.31
<br />1 - 10•
<br />661.25'
<br />38.03
<br />•10
<br />1018:9
<br />89.89
<br />20 "'316.99;
<br />1410:9
<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 ..:333:7L
<br />1428.6.
<br />; _ 9.71
<br />40 .
<br />686.60;
<br />40.99''
<br />40 +
<br />104417
<br />94.46
<br />50 '
<br />' 342:08'-
<br />''• � 10.20
<br />50
<br />695.,OG
<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 />358.81
<br />11.22
<br />.,x.10
<br />711.97
<br />144.07
<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 />12:29,
<br />V: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 />40
<br />1096.4
<br />103.97
<br />50
<br />392.28
<br />13.41
<br />50-'
<br />745:85
<br />'
<br />48.34
<br />50
<br />1105.1
<br />i9
<br />105.60
<br />Corrections to be Added (T = Tangent. E = External.)
<br />�t
<br />Angle Ove 5°
<br />10°
<br />15° 20°
<br />45° 50°
<br />25° •300'' 354,r.25
<br />55°
<br />60°
<br />65°
<br />70°
<br />5- T=.02
<br />.03
<br />.05 .06 •
<br />-.08 .10 01 .11 .15 .16
<br />.18
<br />.20
<br />.21
<br />.23
<br />E =.000
<br />.000
<br />.001 .001
<br />".002 -.002 .002 :.003 .004
<br />.004
<br />..004
<br />.005
<br />.d]5
<br />loo T =.03
<br />.06
<br />.09, .13'
<br />.16 .19 .22 .28 31
<br />.34
<br />'.38
<br />.42
<br />.46
<br />F-.001
<br />.003
<br />: 004 .006
<br />.007 ...008 -.009 .012 .014
<br />.015
<br />.017
<br />.018
<br />.020
<br />15o T=.04
<br />.10,-.14
<br />19
<br />.24 .29 .34 .45 .51
<br />.53
<br />.58
<br />.63
<br />.68E
<br />=.003 .-.007
<br />1517.4
<br />'.010 .014
<br />.018 .023 .027 .032 2035
<br />.039
<br />.043
<br />.047
<br />.051
<br />20o T= 06'
<br />.13
<br />.19 28
<br />.32 .39 .45 .51 .58 .65
<br />.72
<br />79
<br />.84
<br />.00
<br />E =.006
<br />.011
<br />.017 .022
<br />.028 .034 .038 .045 .051 .057
<br />.063
<br />.070
<br />.076
<br />.083
<br />250 T=:08
<br />.16
<br />.24 .33
<br />.40 .49 .58 .67 .75 .83
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />E =•0�
<br />O18i
<br />.027. .038
<br />.046 .056 .085 .074 .083 •.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />.TABLE Ir:=;Tan' geilts.tind.Externals to'a 1° Curve. III.
<br />Ch6id =100 ft.
<br />Int
<br />- Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External .
<br />Ant
<br />Angle
<br />Tangent
<br />External
<br />_22° -
<br />'1113.7
<br />107.24
<br />29°
<br />1481.S
<br />188.51
<br />'36°
<br />1861.7
<br />294.9
<br />101
<br />',1122.4
<br />108.90
<br />-• 10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />20 '':1131-.0
<br />.84
<br />110.57
<br />'•.20
<br />1499.6
<br />192.99
<br />20
<br />1880.1
<br />300.6
<br />'30;1139.7.,
<br />.038
<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 />x-'40
<br />1517.4
<br />1197.53
<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 />4907.9
<br />309.3
<br />23'"
<br />'1165.,1 j
<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 />16
<br />1926.4
<br />315.2
<br />20
<br />1183.1
<br />120.57
<br />:.••20
<br />1553:1
<br />206.77
<br />20
<br />4935.7
<br />318.1
<br />30
<br />1191:8
<br />122.63 i
<br />r•`30
<br />1562;1-
<br />200.12
<br />30
<br />1945.0
<br />321.1
<br />40
<br />7200.5
<br />124.41 !
<br />,;• 40
<br />1571.0
<br />211.45
<br />40
<br />1954.3
<br />324.1
<br />1•` 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 />1217;9 ;
<br />128.00
<br />31 -,
<br />1589.6
<br />216.3
<br />88 .-
<br />1972.0
<br />330.2
<br />10
<br />1226.6
<br />129.82 j
<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 />X20
<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 />2265.0
<br />40
<br />2010:2
<br />342.4
<br />= 50
<br />1261.5
<br />137.23 c
<br />50
<br />1633.0
<br />228.4
<br />50
<br />2019.6
<br />345.5
<br />25-.
<br />1270.2
<br />139.11
<br />•32 `7.'
<br />1'043.0
<br />230:9_
<br />39 '
<br />2029:0
<br />348A
<br />10
<br />1279.0
<br />141.01
<br />; 30+
<br />1652.0
<br />233.4
<br />-10
<br />2038:4
<br />351,8
<br />20
<br />1287.7
<br />142.93 i
<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 />401679:1=
<br />241.0
<br />•'40
<br />2066.6
<br />361.3
<br />-'50
<br />1314.0 '
<br />148.75
<br />1.50'
<br />1688.1
<br />243.5
<br />-=50
<br />2076.0
<br />364.5
<br />26 -
<br />i
<br />1322.8
<br />150.71-
<br />33
<br />1697:2!
<br />246*1�
<br />!0 -`
<br />2085:4
<br />367:7
<br />-10
<br />1331.6
<br />152.69
<br />_•t10
<br />1706.3'
<br />248.7
<br />16
<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: 4
<br />1751.7-
<br />261: 8'
<br />#1
<br />2142.2
<br />387-A
<br />10
<br />1384.4
<br />164.86
<br />10.
<br />17G0.8•
<br />2G4.5
<br />10
<br />2151.7
<br />390.7
<br />201393:2.
<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 />273.1•
<br />42
<br />2199.4
<br />407.6
<br />1Q '
<br />1'437.4
<br />177.55
<br />,'• 16
<br />1815.7•
<br />280.8
<br />10
<br />2209.0
<br />411.1
<br />20,;
<br />1446'.3
<br />179.72 -
<br />•t20,
<br />1824.9,
<br />283.6
<br />20
<br />2218.6
<br />414.5
<br />�•' 30-
<br />1455:1'
<br />181.80
<br />'30
<br />1834:1.
<br />286.4
<br />30
<br />2228.1
<br />418.0
<br />'•40;
<br />1464.0
<br />184.03
<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 t6,be Added •(T --'.Tangent: E --'.External.)
<br />Int•
<br />Angle
<br />;Ctiirve5°
<br />10°
<br />150
<br />20°
<br />25°
<br />30°,
<br />35°
<br />40°
<br />45°
<br />50°
<br />55°
<br />60°
<br />65° 1
<br />70°
<br />20d'
<br />iT=.08,,
<br />.13
<br />.19
<br />.26
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65
<br />.72
<br />.79
<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 .070
<br />.076
<br />.083
<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 />.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 />430°'
<br />T=-.10.
<br />.19.
<br />.29.49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />1.20
<br />1.29
<br />1.39
<br />"E=.0131
<br />.025
<br />.038
<br />:051
<br />051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />.188
<br />350
<br />'T=.11
<br />.22•
<br />.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 =.018
<br />.035
<br />.054
<br />.072
<br />.086
<br />.100
<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 />.BO
<br />.76
<br />.91
<br />1.06
<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 />.216
<br />.254
<br />.239
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
|