|
U
<br />II ' TABLE I.- Xang6nts.aLct Externals to a 1° Curye
<br />Chad=100`ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angie
<br />Tangelit
<br />=' -
<br />6xtcri.'
<br />Ent.'
<br />Anglc
<br />Tangent
<br />External
<br />1-
<br />50:00
<br />.22
<br />:81 ti.
<br />400. CC,
<br />.13:99 '.
<br />15':x-•-,
<br />754.32
<br />49-.44
<br />10'
<br />53.34
<br />-30
<br />10''
<br />409.03
<br />14.58 ;
<br />101
<br />762,80
<br />50.55
<br />"U
<br />.66.67
<br />.39
<br />20-;
<br />';417.41
<br />.- 15.18
<br />.20
<br />771.29.
<br />51:68
<br />3U
<br />75.01
<br />41J -,
<br />�� '30`.
<br />425,79.
<br />15.80
<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 />7SS.26
<br />53.97
<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 />67
<br />9' ".
<br />.450.93
<br />17.72,
<br />16
<br />805.25.
<br />M31
<br />10
<br />10S.35
<br />1.02 -
<br />10 '-
<br />459.32
<br />18.38
<br />]0'
<br />813.75
<br />57.50
<br />'20
<br />316.08
<br />1-.19-
<br />" 20'.
<br />4G7.71
<br />19:00
<br />20
<br />822.25
<br />58.70
<br />"4
<br />125.02
<br />1.36
<br />r' 30
<br />476.10'.
<br />-19.75
<br />30
<br />830:76
<br />59.91
<br />40
<br />133;3G
<br />- • 1.55. i
<br />40,
<br />484.49.
<br />. 20.45 .,
<br />40
<br />$39.27
<br />61.14
<br />50
<br />14L.70•.
<br />1.75
<br />d :50,
<br />492.68
<br />21,16•
<br />50,
<br />847.78
<br />62.3S
<br />3'
<br />150;04
<br />1.96'J
<br />10
<br />501.28
<br />21.89'
<br />.17
<br />856.30
<br />63.63
<br />10
<br />158:3S
<br />2.19 -
<br />'
<br />'.10
<br />509'.68
<br />22.62
<br />10$64.82
<br />1982.2
<br />64.90
<br />20
<br />1G6.72
<br />2.43
<br />20
<br />518.08
<br />23.38
<br />20'
<br />873:35
<br />66.18
<br />30 ;
<br />175.OG
<br />._`-,2.67 '
<br />. = 30
<br />526:0
<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 />4U,
<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 />1B ._
<br />907.49
<br />71.42
<br />10
<br />208.43
<br />3.79,
<br />10 ,
<br />560.11
<br />27.31'
<br />•1,0 '
<br />916.03
<br />72.76
<br />20
<br />216:77
<br />4.10 t
<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 />576.05
<br />28.97,•
<br />30
<br />0331:13
<br />75.49
<br />40
<br />233.47
<br />4.76-
<br />40
<br />'585.36
<br />29.52
<br />40
<br />941169
<br />76.66
<br />50
<br />-241:81'
<br />5.10
<br />60•
<br />593,79
<br />30.68
<br />50
<br />950125
<br />-78.26
<br />5-1
<br />250:16
<br />5.46 1.
<br />2,
<br />- 602.21
<br />.. 31.50
<br />'19 -
<br />958.81
<br />79.67
<br />-.10
<br />258.51
<br />5:83 --
<br />--10
<br />G10.64
<br />32,45
<br />10
<br />967,38
<br />81.09
<br />"20
<br />266•:861
<br />- 6.21
<br />20
<br />619.07
<br />33-35
<br />20
<br />975.90
<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 />233.57
<br />,7,01
<br />-40
<br />- (335:93
<br />35.18
<br />40
<br />993.12
<br />85.43
<br />50
<br />291.92
<br />7,43 i
<br />50
<br />644.37
<br />.36,12
<br />50
<br />1001.7
<br />86.90
<br />6"
<br />300.28
<br />7.66,
<br />13
<br />G52.81
<br />37.07
<br />20
<br />1010.3
<br />88.39
<br />10
<br />308.64
<br />8.31
<br />-:10
<br />GG1:25
<br />38.03
<br />10
<br />1018.9
<br />89.69
<br />20
<br />316.99
<br />8.76-
<br />.20
<br />GG9:70
<br />39.01
<br />20
<br />1027.5
<br />91.40
<br />30
<br />325.35
<br />9.23
<br />30
<br />678{1'5
<br />39.99
<br />30
<br />1036.1
<br />92,92
<br />40
<br />333:71
<br />9.71
<br />40
<br />696.00•
<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 />100.75
<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 />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 />_7451-85
<br />48.34
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added •(T = Tangent. E = External.)- -••
<br />Aril'
<br />_ Angle Cu ve 5°
<br />10°
<br />15° 20° 25°
<br />-
<br />30
<br />35°. 40° 45° 50°
<br />55° 60°
<br />65°
<br />70°
<br />50 - T=.02
<br />.03-
<br />.05 A6 .08
<br />•' .10
<br />:.11 .13 :.15 .16
<br />.18 ' .20 t
<br />' .21
<br />.23
<br />E=.000 -
<br />.000
<br />.067--_09
<br />.041 .001 .002
<br />.002
<br />.002 ,003 .OD3 .004
<br />.004 .004
<br />.005
<br />.005
<br />10" T=.03
<br />.13. .16
<br />,'.19
<br />• .22 .25 .:28 .31
<br />.34 .38
<br />.. 2
<br />E=.001
<br />:003
<br />.004 X06 .007
<br />.D08
<br />.009 .011 .012 .014
<br />.015 .017
<br />018
<br />.020
<br />I5° T=-04
<br />.10
<br />.14 19 24
<br />.20
<br />.34 39 45 .51
<br />.53 .59
<br />Ad
<br />.68
<br />.' E =-003
<br />1007
<br />.0 .014 .018
<br />.023
<br />.027 .029 X32 .035
<br />.039 .043
<br />-.047
<br />.051
<br />200 ,• T= OG
<br />.13
<br />.19 26 32
<br />.39
<br />.45 .51 .58 165
<br />.72 .79
<br />.84
<br />.90'
<br />E =1006
<br />.:011
<br />.017; X22 .028
<br />;.034
<br />.038 .045 .051 .057
<br />.063 .070
<br />.076
<br />.083
<br />250: .T _ 08
<br />16
<br />.24 .33 .40
<br />.49
<br />58 .67 .75 .83
<br />.90 .991
<br />1.06
<br />1.14
<br />E=.009
<br />018
<br />.037 .038'..048
<br />_.056
<br />, .065 .074 .OS3 .-.093
<br />.106 .120-
<br />;.221
<br />.135
<br />'TAi1LE L`='Taag&its and'Externa,ls to'.i 1°'Curve.
<br />Chard =100 ft.
<br />Int _.J
<br />Angle-
<br />u •
<br />Tangent
<br />External
<br />Io t..
<br />Angle
<br />Tangenk
<br />1'.xtV`)2'
<br />Int._
<br />.Angle.-
<br />Tan.gentj
<br />External
<br />1.113,7
<br />107.24
<br />29°'
<br />1481.8
<br />188.51
<br />36°
<br />'18GE 7
<br />294.9
<br />10'
<br />° 11 2.3:4
<br />10S. UO
<br />10'
<br />1490.7
<br />'190.74
<br />10
<br />1870:9
<br />297.7
<br />2u
<br />1431.0
<br />110."7
<br />20
<br />1499.6
<br />192.99
<br />20
<br />1880.11
<br />300.6
<br />" 30' .:1439.7
<br />.023
<br />1`12.25 -'
<br />• •30
<br />1508:5
<br />195:25
<br />30
<br />1989:4
<br />303.5
<br />4U -
<br />11-18:4.
<br />113.05
<br />40
<br />15174
<br />197.53
<br />40
<br />ISM. Li-.
<br />306.4
<br />50
<br />' 1157:0
<br />115.66
<br />5U
<br />152(:'3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />1
<br />23
<br />1165'7
<br />117.38
<br />36 "
<br />15351$
<br />202.12
<br />37
<br />1917.1
<br />312.2
<br />10
<br />1174.1-
<br />139.12
<br />• 10
<br />1544:2•
<br />2U4.44
<br />10
<br />1926.4
<br />315.2
<br />20
<br />1133.1 '
<br />120,87
<br />20
<br />1553.1
<br />206:77
<br />20
<br />1935:7
<br />318.1
<br />3O. .
<br />1191-.8
<br />122.63
<br />30-
<br />1662,1
<br />209.12
<br />30
<br />-1945.0
<br />331.1
<br />_• 40 -
<br />1200.5 ,'124,41
<br />.054
<br />40
<br />-1571.0
<br />211.48
<br />40
<br />1054.3.
<br />'324,1
<br />-50
<br />z1.2W.2 -
<br />120,20
<br />50
<br />•1580.0
<br />213:8U "
<br />'" 50 '
<br />-4963.6
<br />327.1
<br />24-j4 -
<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 />331.65 -
<br />-- 20
<br />1606:9
<br />221.1';
<br />?:'20
<br />1991.5
<br />'336.3
<br />`'0
<br />•1244.0 '
<br />133.50
<br />30
<br />1615.9
<br />'223-5
<br />30
<br />2000.9
<br />339.3
<br />r 40
<br />1252.8
<br />135.35 -
<br />40
<br />1024:9'.
<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 />.2010.6
<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 />1279,0
<br />'141.01
<br />• 10'
<br />1G52t0 -
<br />233.4
<br />10
<br />2038.4'
<br />•351,8
<br />_0
<br />1287,7",142.93.
<br />'-- 20
<br />,1661.'0
<br />235.9
<br />.20
<br />2047:8
<br />354.9
<br />30
<br />1206,5
<br />144.85
<br />30
<br />1G70:0
<br />238.4
<br />- 30
<br />•2037.2
<br />.358:1
<br />--- 90
<br />1305,3
<br />146.79
<br />40
<br />1679'1
<br />241.0:
<br />640
<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 />s --
<br />207610
<br />'364.5
<br />2G `
<br />1322.8
<br />150.71
<br />33
<br />1697.2•
<br />'246.'1 ;
<br />'40.%
<br />`2085.4
<br />-367.7
<br />40
<br />1331.6
<br />152,09
<br />• 10
<br />1706:3.
<br />248,7
<br />• I0
<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 />2101':3 '
<br />•`374.2
<br />30
<br />1349.2
<br />156:70
<br />30
<br />17244
<br />253.9
<br />30
<br />2113.8
<br />'377.5
<br />';_
<br />1358.0
<br />158.72
<br /><40
<br />•1733'.5
<br />256.5
<br />40 ,
<br />2123:3
<br />--380.8
<br />,AO
<br />4. 50
<br />1366.8'
<br />160.76
<br />50
<br />1742.,0
<br />259.1 -
<br />•= 50
<br />2132.7'
<br />384.1
<br />r27
<br />1375.6 •
<br />162.81
<br />94
<br />1751.7
<br />261:•8
<br />'41.'?2142:2
<br />387.4
<br />10
<br />1384.4
<br />164.80
<br />10
<br />1760.8
<br />264.5 •
<br />-10
<br />2151:7
<br />-390:7
<br />20
<br />1303.2,
<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 />16,9.04
<br />-30
<br />1779.1
<br />269.9
<br />730
<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 />1.119.7
<br />173.27
<br />50
<br />1797:4
<br />275.3
<br />-.50
<br />2189 9
<br />404.2
<br />2B'
<br />1428.•G'
<br />175.41
<br />SS
<br />1800.6
<br />278.1
<br />'42
<br />2190:4
<br />407.6
<br />'10
<br />1437.4-
<br />177,55
<br />-1D
<br />1815.7
<br />280.8 i
<br />•;• 10
<br />-2209.0
<br />411.1
<br />20
<br />1446.3
<br />179.72
<br />2D
<br />1824.9
<br />-283:6
<br />20
<br />2218.6
<br />414.5
<br />30
<br />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 />184.0 3
<br />4D
<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 />,Ang,e.
<br />Curve S° 10°
<br />_
<br />150,
<br />20°
<br />25°
<br />30°
<br />35° 4D°
<br />45°
<br />50° 55°
<br />60° 65°
<br />70°
<br />20°
<br />T=:06 .13
<br />.19
<br />':25
<br />.32
<br />.39
<br />.45 .51
<br />.58
<br />.55 .72
<br />.79 .84
<br />90
<br />E =.008 .011
<br />.017
<br />.022
<br />.023
<br />.034
<br />,038 .015
<br />.051
<br />.057 .003
<br />:070 .070
<br />.093
<br />- 25°
<br />T =A8 .16
<br />-24.33
<br />.40
<br />.49
<br />.58 .67
<br />..75
<br />.83 .90
<br />.99 1.06
<br />1.14
<br />E =.009 ' .018
<br />.027
<br />.036
<br />,D45
<br />.056
<br />.035 '.0741
<br />.053
<br />.093 _ :`106
<br />.120 .127
<br />X5
<br />300
<br />T=.10 J
<br />.29
<br />.39
<br />.49
<br />.59
<br />.69 ` .79
<br />.99
<br />.99 C09
<br />1.20 1.29
<br />1.29
<br />E=,013 .025
<br />.038
<br />.051
<br />.065
<br />.078
<br />.090 .103
<br />.1I6
<br />.139_ .149
<br />.170 .179
<br />.188
<br />35°
<br />"T-:11 22
<br />34
<br />.47
<br />..58
<br />.69
<br />.80 .03
<br />1.05
<br />1.17 129
<br />1.42 1.54
<br />1-6G
<br />E =.018 .035
<br />.054
<br />.072
<br />.086
<br />.109
<br />.131 .153
<br />.175
<br />.197 .13
<br />.230 .247
<br />264
<br />:'40°
<br />T =.13 '_6
<br />.40
<br />.53
<br />.67
<br />.80
<br />.93 1.06
<br />1.20
<br />1.34 1.49
<br />1.64 1.79
<br />1-94
<br />E =.023 .04fi
<br />T= -l5 .30
<br />.070
<br />.44
<br />.093
<br />60
<br />.117
<br />.141
<br />.172 .203
<br />.234
<br />265 277
<br />.290 .315
<br />341
<br />450
<br />.76
<br />.91
<br />11.05 1.21
<br />1.37
<br />11.62 1.70
<br />1.87 2.04
<br />2.21
<br />-E =:030 ' .000
<br />.093
<br />' .119
<br />.153
<br />.184
<br />210 .254
<br />.289
<br />•.325 .351
<br />.378 .411
<br />.445
<br />min
<br />
|