|
II TABLE I. - Tangents and Externals to a 1-' Curve.
<br />Chord=100 ft. �v
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int' :
<br />,Angle..
<br />Tangent
<br />External.
<br />-- Int.
<br />Angle
<br />Tangent
<br />External
<br />1°
<br />50.00
<br />-`:22'--
<br />8°->
<br />-400.66``.13.99
<br />.21
<br />.004 .004 .004 .005
<br />15°
<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 />' 15:18
<br />20
<br />771.29
<br />51.68
<br />30 .
<br />75.01
<br />:49,•
<br />•'� 30' �
<br />, 425.79,
<br />_- 15:50
<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 />. ,_.ga.50..,
<br />442.55..
<br />17.07.
<br />50-
<br />796.75.
<br />55.13
<br />-23
<br />U165.7'
<br />117.38
<br />30
<br />1535.3.
<br />202.12.
<br />37
<br />-805.25
<br />312.2
<br />10
<br />.100.01,
<br />.$7.
<br />.. 9_
<br />450.93
<br />17.72.
<br />16
<br />•
<br />56.31
<br />10 :
<br />.108.35
<br />1'.02 `,
<br />' 10
<br />459.32
<br />18.38'
<br />' ,; i 10',•
<br />'813.75 -
<br />.
<br />"57:50
<br />^0--
<br />116:68'
<br />1.19.
<br />- :'20'
<br />467.71
<br />19:06
<br />20 .
<br />•822.25
<br />-58.70
<br />30,;
<br />..125.02,
<br />1:36 •,
<br />' _ ' 30
<br />,476.-10
<br />19.75 ,
<br />'30
<br />:,830.76
<br />59.91
<br />AO;:
<br />•133.36
<br />1:
<br />: 55.
<br />...,:40 ,.
<br />484.49
<br />20.45 .
<br />40 .
<br />839.27.
<br />61.14
<br />='50`
<br />r - 141.70
<br />J._
<br />1.75
<br />50
<br />492.88
<br />'. 21.16-
<br />50','847.78-.
<br />1972.9
<br />62:38
<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 />_
<br />-2.19
<br />` 10 +
<br />509.68
<br />22.62
<br />10
<br />864. 82
<br />•64:90
<br />20
<br />1G6.72
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />._ 20.
<br />873.35,=66:18.
<br />;339.3
<br />30
<br />175.06
<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 />206.08
<br />' 3:49
<br />11'
<br />-551.70
<br />26.50
<br />1S
<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 />;4:42:
<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 />585.36
<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 />78.26
<br />'10
<br />1331.6
<br />152:69
<br />!.'10.
<br />1706.3
<br />248.7
<br />1. 10
<br />2094.9
<br />371.0
<br />5
<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 />10
<br />610.64
<br />32.45
<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 />"•'1.01
<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 />300.28
<br />1.86
<br />_13-
<br />652.81
<br />37.07
<br />20
<br />1010.3--
<br />88.39
<br />10
<br />308:64
<br />"• 8.31
<br />10
<br />661.25
<br />38.03'
<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 />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 />96.01
<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 />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 />421.4
<br />30
<br />''37554::
<br />12.29
<br />30
<br />728,90
<br />46.18
<br />;;. 30 :
<br />1087.8•102.35
<br />_100.75
<br />40
<br />333.91
<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 />J.
<br />Corrections to be Added (T=Tangent. E=External.)
<br />Int.
<br />:Tangent
<br />External
<br />Int".
<br />Angle
<br />Angle Ce 5° 10° 15° 20" 25° 30°
<br />`.10
<br />`35' 40° 45°
<br />50° 55° 60° 65o
<br />70°
<br />5o T=:02 .03 .05 -.06 • ;.08
<br />'.002...002
<br />'.11 .13 .15
<br />.16 .18 .20
<br />.23
<br />E=.000 .000 .001 .001
<br />..002 ,.003 '.003
<br />.21
<br />.004 .004 .004 .005
<br />.005
<br />10° T =•03 .06 .09 -:13 .16 .19
<br />.22 .25 :28'•
<br />.31
<br />1122:4
<br />E=.001 .003 .004 .006 .007 -.008
<br />-Y=
<br />:.009 .011 .012
<br />.34 .38 .42
<br />.014 .015 .017 .018
<br />.46
<br />.020
<br />15o .10 : .14 .19 .24 .29
<br />.34 39 .45
<br />.51 " .53.58
<br />.68
<br />E =.003 _ 1.007 ;.010 .014 .018 .023
<br />.027 .029 .032
<br />.63
<br />:035 .039 .043 .047
<br />.051
<br />200. T=.06- 13 .19 .26 .32 .39
<br />.45 .51 .58
<br />:79
<br />300.6
<br />E---.006 .011 .017 .022 .028 .034
<br />.038 .045 .051
<br />.65 .72 .S4
<br />.057 .063 .070 •:.076
<br />.90
<br />.083
<br />'25o T=.08 .16 .24 .33 .40 .49
<br />E =:009 .018 .027. .036 .046 .056
<br />.58 .67 . .75
<br />.065 .074 .083•.093
<br />.83 .90 .99 1.06-T.14
<br />.106 .120 .127
<br />.135
<br />.TAniE'I: -'Tangents and Externals to is 1!O urv@:'.
<br />C11rif(l =.100-f t.. .
<br />Int _-
<br />Angle
<br />:Tangent
<br />External
<br />Int".
<br />Angle
<br />Tangent
<br />External
<br />Int..-.
<br />=Angle
<br />Tangent
<br />External
<br />d22o- '
<br />1113.7
<br />107.24
<br />29' •
<br />1481.8
<br />188.51
<br />369 '
<br />1861.:7
<br />294.9
<br />-10'
<br />1122:4
<br />103.90 1
<br />10'
<br />1490.7
<br />190.74
<br />10'
<br />1870.9
<br />-297.7
<br />20 ;.3131:0
<br />.84
<br />110.57
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880:.1
<br />300.6
<br />0_ 30
<br />:1139.7
<br />112.25
<br />30
<br />1508.5
<br />195.25
<br />30
<br />1889.4
<br />303.5
<br />'40 .':1148.4
<br />T=.08
<br />113.95.
<br />40
<br />1517.4
<br />197.53
<br />40
<br />1398.6
<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 />U165.7'
<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 />.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 />155311
<br />206.77
<br />20
<br />"1035.1
<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 />`3209.2;
<br />126.20'1
<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 />129.52
<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 />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 />1624x9
<br />226.0
<br />':40
<br />2010:2,
<br />342.4
<br />50
<br />1261.5
<br />137.23 r
<br />=:1:50 ',
<br />1633:9
<br />228.4
<br />: 50
<br />2019.6'
<br />.345.5
<br />'25 -
<br />1270.2
<br />130.11
<br />32_
<br />1643.0
<br />230.9
<br />39
<br />2029.0
<br />348.6
<br />10
<br />1279.0
<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 />144.55
<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 />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 />1706.3
<br />248.7
<br />1. 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 />4349.2
<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 />".140
<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 />x.•50
<br />2132.7
<br />.384.1
<br />27':
<br />1375.6 r
<br />162.81
<br />34.
<br />1751.7
<br />26168
<br />41
<br />2142.2
<br />387:4.
<br />10
<br />.1384.4
<br />164.86 t
<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 />1402.0
<br />169.04
<br />30
<br />1779.1'
<br />269.9
<br />30
<br />2170:8
<br />X397.4
<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 />278.1
<br />42•
<br />21139.4
<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 />181.59
<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 to be.Added„(T = Tangent. - E =:External.) ,
<br />Int:•
<br />Angle
<br />Cirve 5°
<br />10°
<br />15°
<br />'20° .
<br />2$°
<br />30°
<br />35°
<br />40°
<br />45o
<br />50°
<br />55°
<br />60°
<br />65'
<br />70°
<br />20°.
<br />T=.06•
<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
<br />.070
<br />.076
<br />:083
<br />25°
<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 />E=:009
<br />:018
<br />.027
<br />:036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.033
<br />.093
<br />.lOG
<br />.120
<br />.127
<br />.135
<br />300
<br />' T=.10
<br />19
<br />.29
<br />.39
<br />.40
<br />.59
<br />.69
<br />.79
<br />.S9
<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 />.116
<br />.129
<br />.149
<br />.170
<br />.179
<br />.188
<br />35o
<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 />.109
<br />.131
<br />.153
<br />.175
<br />.197
<br />.213
<br />.230
<br />.247
<br />.264
<br />40°:
<br />T=.13
<br />°6
<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 />60
<br />.76
<br />.91
<br />1.08
<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 />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />l4
<br />
|