|
0
<br />TABLE I. - Tangents and Externals to a• If Curve.
<br />Chord =100 ft: .
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.-
<br />Angle 4
<br />'Tangent
<br />External
<br />Int.
<br />._.Angle
<br />Tangent
<br />External
<br />1'
<br />50.00
<br />.22•.
<br />8" =
<br />400.66
<br />- 13.99
<br />•.-151•
<br />754.32
<br />49,44
<br />10'
<br />58,34
<br />.30
<br />10'
<br />400.03
<br />14.58
<br />10'
<br />762,80
<br />5M5
<br />20
<br />'766.,67,
<br />.39'.20,
<br />.004
<br />417-41"
<br />x•15'.18
<br />+'• +20.-
<br />771,29
<br />5 1. 68
<br />30
<br />•75.01
<br />.49
<br />30•
<br />-425-70'
<br />'15.80=
<br />= 30
<br />•779:77
<br />62.82
<br />40
<br />83.34
<br />.61
<br />40
<br />434-17
<br />16,43
<br />-40
<br />788,26
<br />63.97
<br />,.50
<br />91,63
<br />73
<br />b0
<br />-442..,55
<br />17.07
<br />50.
<br />796.75
<br />65-13
<br />2
<br />300:01
<br />S7.
<br />-9,
<br />450.93
<br />17.72
<br />16,•-
<br />805.25
<br />56.31
<br />10,
<br />108.35
<br />I.02
<br />10
<br />459,32
<br />18.38
<br />- 10"
<br />813.73
<br />57.50
<br />20
<br />116.68
<br />1.19'
<br />20 ",
<br />407.71
<br />-' 19.00
<br />20
<br />822.23
<br />58.70
<br />30
<br />:125.02
<br />• 1.36
<br />30
<br />.:476.10
<br />19,75
<br />-30 :
<br />1830.76
<br />59.91.
<br />40
<br />139.36
<br />1.'55
<br />40
<br />484.49
<br />20.45
<br />40839.27
<br />.83
<br />.093
<br />61.14
<br />50
<br />141 70
<br />1.75
<br />50
<br />492.88
<br />21,16
<br />50
<br />347.78
<br />62.38
<br />3
<br />X50 04'
<br />1.96
<br />10
<br />501.28
<br />21.89
<br />17
<br />856.30
<br />63.63
<br />10-'
<br />158:88
<br />-2.19
<br />10-
<br />509.68
<br />'.-22.62
<br />10•
<br />664.82
<br />64.90
<br />N
<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 />176.06
<br />2,67
<br />.130
<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 />08,77'
<br />50
<br />191,74
<br />3.21.
<br />50,
<br />.543.29
<br />25.70
<br />59
<br />898.95
<br />70,09
<br />4
<br />200.08
<br />3.49
<br />111
<br />551.70
<br />26.50
<br />13
<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 />916.63
<br />72.76
<br />20
<br />216.77
<br />4.10
<br />_ 20
<br />.568'-53
<br />28.14
<br />20
<br />924,65
<br />74.12
<br />30
<br />"25.12
<br />142.93
<br />30
<br />--670,95
<br />28.97
<br />'30
<br />933.13
<br />75.49
<br />" 40
<br />"233.47
<br />_4.42
<br />- 4.76
<br />-40
<br />585,36
<br />29.82'
<br />40
<br />941.69
<br />76.86
<br />50'
<br />241,81
<br />5.10
<br />50
<br />M-.70
<br />30.68
<br />50
<br />950.25
<br />78.26
<br />5
<br />250.16
<br />5.46
<br />12.
<br />602:21.
<br />3 1, 56
<br />'19-
<br />953.81
<br />79.67
<br />10
<br />258,51
<br />5.83
<br />10
<br />610.64,
<br />32.15
<br />10,
<br />967:38
<br />81,09
<br />20
<br />266:86
<br />6.21'
<br />'20-
<br />619:07
<br />33.35
<br />20
<br />975.96
<br />82.53
<br />30
<br />275-21,._
<br />6.61
<br />30
<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 />0
<br />300.28
<br />7.85
<br />13
<br />652.S1
<br />37.07-
<br />-
<br />1010.3•
<br />88.30
<br />10
<br />-308.64''
<br />8.31
<br />10
<br />661.25
<br />38.03
<br />.20
<br />10
<br />1018.9
<br />89.59
<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 />- 80
<br />325.35
<br />9.23
<br />90
<br />679.15
<br />39.99
<br />30
<br />1036.1
<br />92.9°-
<br />-40
<br />333.71
<br />9.71
<br />40
<br />636.60
<br />40.99
<br />40-
<br />1044.7
<br />94.40
<br />50
<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 />1661`.9
<br />97.57
<br />10
<br />358-S1
<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 />100.10
<br />30
<br />375.54
<br />12,29
<br />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 />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Yat. G1irvc 5°
<br />Anglo
<br />10°
<br />35°
<br />20°
<br />25° T301
<br />1350
<br />44°' 45°
<br />50°
<br />551
<br />60°
<br />65°
<br />50 T=-02
<br />,03
<br />.05
<br />,061-.08
<br />.10
<br />.11
<br />.13 ..15
<br />-.16
<br />,18
<br />.20
<br />.21
<br />E=,000
<br />000
<br />.001
<br />_001
<br />.002 :002
<br />- .0021-003
<br />-O
<br />,004
<br />.004
<br />.004
<br />.003
<br />10° T=.03
<br />.06
<br />.09=
<br />-.004
<br />a3
<br />.16 .19
<br />.22
<br />.25 .28.31
<br />1508.5`
<br />.34
<br />.38
<br />,42
<br />E =_001
<br />.003
<br />-114S.4
<br />.006
<br />.007 .008
<br />.000
<br />.011 .012
<br />_,014
<br />.,015
<br />•.017
<br />.018
<br />15° T- .04
<br />-10
<br />.14
<br />,19
<br />.24 .20
<br />.34•
<br />.29 .45
<br />S1'
<br />,53
<br />.58
<br />.63
<br />I1=,003-`
<br />:007
<br />.010
<br />:014
<br />.019 .023
<br />.027
<br />.020 .032
<br />.035
<br />.039
<br />.043
<br />-047
<br />20° T=,06
<br />.13
<br />-,19
<br />--26
<br />.22 .39
<br />.45
<br />.51 58
<br />:fi5+
<br />.72'
<br />.79
<br />.84
<br />E =.D06
<br />`.011
<br />.017
<br />822
<br />.028 :034'
<br />.038
<br />.015 ,051
<br />.057
<br />,063
<br />_,070
<br />"-076
<br />25° T=.08
<br />25'
<br />lfi
<br />.018
<br />.24
<br />.027
<br />.33
<br />.036
<br />.40 .49
<br />.046 ,056
<br />58
<br />.OGS
<br />.67 .75
<br />,074 .D83
<br />.83
<br />.093
<br />.9U
<br />.106
<br />49
<br />,120
<br />f.0-0-
<br />.127
<br />70°
<br />23
<br />,OD5
<br />.16
<br />.020
<br />_J8-
<br />051
<br />90
<br />083
<br />1.14.
<br />•136
<br />1
<br />T!Tm L.'�Taagents-ilnd-Exte'riLafe,tc,a VCurve. III
<br />Chord =109ft.
<br />Int. -
<br />Angle
<br />Tangent
<br />Extend
<br />Int.
<br />Angle
<br />Tangent-Exterva]
<br />,Angle
<br />Tangent
<br />External
<br />22°
<br />1x13.7
<br />107.24
<br />29°'
<br />•1481.8
<br />188.51"
<br />36°
<br />1861.7
<br />294.9
<br />I(Y
<br />-,1122.4.
<br />108.90
<br />10',
<br />1490.7
<br />°190.74
<br />30'.
<br />1S70.9
<br />297.7
<br />20
<br />1131.0
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />ISS9.I
<br />300.6
<br />30.
<br />1139.7
<br />112,25
<br />30
<br />1508.5`
<br />195.25
<br />30
<br />1589.4
<br />303.5
<br />40
<br />-114S.4
<br />113.95
<br />40
<br />-1517.4
<br />197.53.•
<br />40
<br />189816
<br />306.4
<br />•
<br />50
<br />,1157.0
<br />115.66,
<br />+,-50 '
<br />-1526.31
<br />199.82•
<br />50
<br />_I907.9
<br />309.3
<br />.67
<br />4-4
<br />,83
<br />.90
<br />.99
<br />1.06
<br />i
<br />E =:009,
<br />.018
<br />23
<br />1.165.7
<br />117:38,,
<br />X30-^
<br />1535:3'
<br />2D2.12'
<br />'37
<br />`1917.1
<br />312.2
<br />30
<br />1174:4
<br />119.12.
<br />10
<br />1544.2
<br />2D4:44
<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 />.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
<br />1954.3
<br />324.1
<br />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 />-1589-0
<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 />22t.1
<br />20
<br />199 1, 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 />,137.23 •
<br />50
<br />1633.9
<br />228.4
<br />50
<br />2019.6
<br />345.5
<br />25
<br />1270.2'
<br />139.11
<br />32-
<br />1643.0
<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 />144.85
<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 />2066.6
<br />361.3
<br />- 50
<br />1314.0'
<br />148.75
<br />50
<br />IG88.1
<br />243.5'
<br />60 '
<br />2016.0
<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 />452.69
<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 />•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
<br />1751'.7
<br />261:8.
<br />41
<br />2142.2
<br />387.4
<br />10
<br />1384.4
<br />1G4-86
<br />10
<br />1760,3
<br />254.5
<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 />1402.0
<br />169-0.1
<br />30
<br />1779.1
<br />269.D .
<br />30
<br />2170.8
<br />397.4
<br />40
<br />1410.9
<br />17-1-15
<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:G,
<br />175.11
<br />35'
<br />1806.6
<br />378,1
<br />•42
<br />2199.4
<br />407,6
<br />10
<br />14V A,
<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.(3
<br />414.5
<br />30 '-1455.1
<br />181.89
<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 />289.2
<br />40
<br />2237.7
<br />421.4
<br />50
<br />1472.9
<br />1 18G.29
<br />-,-50
<br />1852.5
<br />292.9
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T= Tangent. E= External,)
<br />Int.
<br />Angle Carves°
<br />10°
<br />15°
<br />20°
<br />25°
<br />.30°.
<br />35°
<br />40°
<br />4'"
<br />50°
<br />55°
<br />60°
<br />65°
<br />700
<br />20° T=,00'
<br />.13.19
<br />.26
<br />:32
<br />.30
<br />.45
<br />.51
<br />Ni
<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 />.C,i1
<br />.057
<br />.063
<br />.070
<br />.076
<br />.083
<br />25° T=.08 .
<br />'.16
<br />.24
<br />.33
<br />.40
<br />.49
<br />.58
<br />.67
<br />4-4
<br />,83
<br />.90
<br />.99
<br />1.06
<br />1.14
<br />E =:009,
<br />.018
<br />.027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.43
<br />.093
<br />.106
<br />.120
<br />.127
<br />.135
<br />g0° T=.10
<br />- .19
<br />.29
<br />.39
<br />.49
<br />1 .59
<br />.69
<br />.79
<br />.S 1
<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 />.316
<br />:129
<br />.149
<br />.170
<br />.179
<br />.188
<br />T=.11
<br />22
<br />34
<br />".47
<br />.58
<br />.69
<br />'.93
<br />LO u
<br />9
<br />1.42
<br />1.54
<br />1.6fi
<br />E=.018
<br />:035
<br />.054
<br />.072
<br />.086
<br />.109.153
<br />.1759713
<br />.230
<br />.247
<br />.264
<br />T=,13
<br />26
<br />AU
<br />.53
<br />.67
<br />.80.06
<br />1 «
<br />�1.7
<br />4
<br />'1.49
<br />1.64
<br />1.79
<br />1.94
<br />023
<br />-.046
<br />.070
<br />.093
<br />.117
<br />.141.203
<br />d.216
<br />1345577
<br />.290
<br />.315
<br />.341
<br />d5° T=.15
<br />.30
<br />.44
<br />.50
<br />.76
<br />,91
<br />-21
<br />137
<br />1.52
<br />1.70
<br />1.87
<br />2.04
<br />2.21
<br />E=.030
<br />.050
<br />.093
<br />.119
<br />.153
<br />.184.251
<br />.989
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />
|