|
II ' TAsl.s 1. - Tangents and Externals to a 1' Curve.
<br />Chard =100 ft.
<br />Int,
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent I.ixternat
<br />65°
<br />1",
<br />50.00
<br />.22
<br />B°
<br />400.GG
<br />13.99
<br />IS'
<br />754.32,
<br />49.44
<br />10'
<br />20
<br />58.34
<br />00.67
<br />.30
<br />.39
<br />10'
<br />20
<br />409.03
<br />417.41
<br />14.58
<br />15.18
<br />10'
<br />20
<br />762.80
<br />771.29
<br />60.55
<br />'.61.68
<br />301
<br />75.01
<br />.40
<br />30
<br />425.79.
<br />15.80
<br />30
<br />779.77
<br />62.82
<br />40
<br />83.34
<br />,6I'
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.20
<br />63.97
<br />50
<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 />805:25
<br />56.31•
<br />10
<br />.108.35
<br />1.02
<br />10
<br />459.32
<br />1`8.38.
<br />10
<br />813.75
<br />57.50
<br />20.
<br />116:68
<br />1.19
<br />20
<br />.407.71
<br />19.06
<br />20
<br />822.25
<br />58.70
<br />"0
<br />125:02
<br />1.36
<br />30'
<br />476.10
<br />19.15
<br />'30
<br />830.76
<br />59.91
<br />40
<br />1 133.86
<br />1.55
<br />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 />3r•
<br />•150:04
<br />1.90,
<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 />10
<br />509.68
<br />22.62
<br />10 -,864.82
<br />1972.9.
<br />64.90
<br />'20
<br />'106.72
<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 />2,6 7
<br />30.
<br />526.48
<br />24.14
<br />so
<br />881.88
<br />_
<br />67.47
<br />40
<br />183.40
<br />2.93
<br />40
<br />.534.89
<br />24.91
<br />40
<br />800.41
<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 1
<br />551470
<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'-
<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 />4.42t30
<br />:20
<br />576.95
<br />28,97
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4.76
<br />/0
<br />585.36
<br />29.82
<br />40
<br />941.69
<br />76.86
<br />.,0
<br />241.81
<br />5.10
<br />50
<br />593.79
<br />30.68
<br />•-50
<br />9.50.25
<br />78.2G
<br />5
<br />250.1G
<br />5:46.
<br />12
<br />602"21
<br />3 1. 56
<br />19
<br />958.81
<br />79,67
<br />10
<br />258.51
<br />5.S3
<br />10
<br />610"64
<br />32:45
<br />10
<br />967.38
<br />81.09
<br />20 .
<br />266.8G
<br />6.21
<br />20
<br />619.07
<br />33.35
<br />20
<br />975.96
<br />82,53
<br />30
<br />275.2L
<br />6.61
<br />10
<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 />50
<br />1001.7 .
<br />86,90
<br />6.
<br />3Gq.28
<br />7.86
<br />1S
<br />652.81
<br />37.07
<br />29 --
<br />1010.3
<br />88:39
<br />10
<br />308.64
<br />8.81
<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 />669.70
<br />39,01'
<br />20
<br />1027.5
<br />91.40 '
<br />30
<br />325.35
<br />9.23
<br />30
<br />-678.16
<br />39.99
<br />30
<br />1036 .1
<br />92.92:
<br />40
<br />333.71
<br />9.71
<br />40
<br />G86.60
<br />40.99
<br />40
<br />1044.7
<br />04.46
<br />40
<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 />.2189'9
<br />97.57
<br />10
<br />358.81
<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 />12.29
<br />30
<br />1824"9
<br />46.18
<br />-,30
<br />1087.8;
<br />102.35
<br />40•
<br />333.91
<br />12.85
<br />40
<br />,728.90
<br />737"37
<br />47.25
<br />40
<br />1096.4
<br />103.97
<br />40
<br />392.2S"
<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.} 1
<br />InL
<br />Tangent
<br />1sxternal
<br />Int.. , ;
<br />•Angle
<br />Tangent
<br />nale Curve S° •19°
<br />Angl
<br />15° 201 25° 301
<br />351 40° 45° So ° 55° 60°
<br />65°
<br />70°
<br />5° T=.02 .03
<br />.05 .06 .08 .10-
<br />.11 .13 .15 .16 .18 .20
<br />.21
<br />.23
<br />E=.000 .000
<br />.001 .001 .002 .002
<br />..002 '.003 .003 .004 .004 .004
<br />.005
<br />.005
<br />10° T=.03 .06
<br />.09 .13 -.36 .19
<br />.22 .25 .28 31 .34 .38
<br />2
<br />46
<br />E=.001 .003
<br />.004 ,.006 _007 .008
<br />.009 _011 .012 .014 .015 .017
<br />.018
<br />.020
<br />LS° T=.04 .10
<br />.14 19 .24 .29
<br />.34 .39 45 .61 .53' .58
<br />'.63
<br />.68
<br />E=.003 .007
<br />.010 .014' .018 .023
<br />.027 .029 .032 .035 .039 ,013
<br />.047
<br />.051
<br />20° T -O6 .13
<br />-.19 26 .82 .89
<br />.46 .61 .58 .65 ".72 .79
<br />.84
<br />.90
<br />E=.008 Ali
<br />.017 .022 .028 .034
<br />.038 .046 .C51 .0�1*113 .070
<br />.078
<br />.083
<br />25' .0818
<br />.29 .33 40 .49
<br />.5B 67 75 S.90 .99,
<br />1'1
<br />50
<br />E=.009 A18
<br />.027 .036 048 .056.085
<br />.074 083 .0.106 .120
<br />.127
<br />.135
<br />:carr-�u�taw . ;•.sauru•�•�.°..�,.-,�:-x� ....._ .,
<br />:xAnr.e I. - Tangent s, and Externals to a 1.' Curve: III
<br />Chord =100 It,.
<br />Int., `
<br />"•Angle
<br />Tangent
<br />1sxternal
<br />Int.. , ;
<br />•Angle
<br />Tangent
<br />l�xternal
<br />Int. '
<br />.Angle'
<br />Tangent
<br />Externa[
<br />221
<br />]113'.7
<br />107.24.
<br />291
<br />1481"8
<br />188.51
<br />361
<br />186117-
<br />294.9
<br />We
<br />1122.4
<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 />1499.0
<br />192.99
<br />20
<br />1880.1
<br />300.6
<br />30
<br />--1130.7
<br />112.25 .
<br />30
<br />1508.5
<br />195.25
<br />B0
<br />'1889.4
<br />-303.5
<br />40
<br />114SA
<br />113.9.5
<br />40
<br />'1517.,4
<br />197.53
<br />40
<br />1898:0'
<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 />11G5.7'
<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 />to ._
<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 />4553.1
<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 •"1954..3
<br />.22
<br />324.1
<br />50'
<br />1200:2.
<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 />1589.0
<br />216.3
<br />38'•
<br />1972.9.
<br />330:2
<br />10
<br />1226.6
<br />129.82
<br />.',-.10 '.1598:0
<br />.213
<br />218.7
<br />10
<br />1982.2.,
<br />'333.2
<br />20
<br />1235:3'
<br />131.65
<br />20 i
<br />A 606.9
<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 />137.2350
<br />1.06 1.21
<br />1633:9
<br />228.4
<br />•50
<br />2019.6:.
<br />.345.5
<br />.2.8'.
<br />1270.2
<br />139.11
<br />82
<br />1643: 0
<br />230.9
<br />'39
<br />2029.0'
<br />346
<br />8':
<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 />1061.0
<br />235.9
<br />20 "
<br />'2047"8
<br />•354.9
<br />30
<br />1296.5
<br />144.85 .
<br />"30
<br />1070.0'
<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 />1688-.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 />17003
<br />248.7.
<br />10
<br />-2094.9
<br />371.0
<br />'20
<br />1340.4
<br />154.69 r
<br />20'
<br />1735"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 />9366.8
<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''
<br />1751.7
<br />261.8
<br />Al.
<br />2142.2
<br />3B7.4
<br />•10 =
<br />1384.4"
<br />164.66
<br />10•
<br />1760.8
<br />2G4.5"
<br />10
<br />2151:7
<br />390.7
<br />20
<br />1393.2.
<br />166.95
<br />20
<br />1770.0
<br />2G7.2
<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 />178S.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 />411.1
<br />20
<br />1446.3
<br />170.72
<br />20
<br />1824"9
<br />283.0
<br />20
<br />-2218.;6
<br />414.5
<br />30
<br />1455.1
<br />ISI -80
<br />30
<br />1834.1
<br />286.4
<br />.30
<br />2228:1:
<br />418.0
<br />40
<br />14G4.0.
<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 />156.29
<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.Curve
<br />Angle
<br />S°
<br />LO'
<br />15°
<br />20°
<br />25°
<br />30°
<br />35°
<br />40°
<br />45'
<br />•50°
<br />55°
<br />60°
<br />65°
<br />70°
<br />,go
<br />T=.O6.
<br />.13
<br />.19
<br />:.28
<br />.32
<br />.39
<br />.45
<br />.51
<br />.58
<br />.65
<br />..72
<br />79
<br />•.84
<br />.90
<br />E=.006
<br />Oil
<br />.017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />.051
<br />..057
<br />.053
<br />'.070
<br />.076
<br />.083
<br />25°
<br />T=.03.
<br />.Ifi
<br />.24
<br />.33
<br />.40
<br />.49
<br />-.056
<br />.58
<br />.67
<br />.75
<br />.83
<br />.90
<br />..99
<br />1.06
<br />1.14
<br />E=,000
<br />:.018
<br />.027
<br />.036
<br />.046
<br />.065
<br />-.074
<br />.053
<br />.093
<br />-.106
<br />.120 .127
<br />.135
<br />3';T
<br />=:10.
<br />10
<br />29
<br />.39
<br />.49
<br />.59
<br />.69
<br />.79
<br />.89
<br />.99
<br />1.09
<br />L.20-
<br />1.29
<br />1.39
<br />E =.013.
<br />.025
<br />:038
<br />.O5L
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116
<br />.129
<br />.149
<br />.170
<br />.170
<br />-:188
<br />35°
<br />T=.11
<br />.22
<br />.34
<br />.47
<br />.58
<br />.69
<br />.80
<br />.93
<br />1.05
<br />1.17
<br />A.
<br />1.42
<br />1.54
<br />1.68
<br />E=.019
<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 />].34
<br />1.49
<br />1.64
<br />1.79
<br />1.94
<br />E =.023
<br />T=.15
<br />.046
<br />.30
<br />.070
<br />.44
<br />.093
<br />.60
<br />.117
<br />..141
<br />.172
<br />.203
<br />.234
<br />265
<br />.277
<br />.290
<br />315 .341
<br />45°
<br />.76 .91
<br />1.06 1.21
<br />1.37 1.52 1.70 1.87 2.04
<br />2.21
<br />E=.030
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.216
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
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