|
TABLE I. - Tangents and Externals to a 1' Curve. ITeiii l 'L - Tangents'arid Externals to a 1° Curve. III
<br />Chord =100 ft. Chord - 100 ft'.
<br />Int." -
<br />Angle
<br />Tangent
<br />Extern.[
<br />„Int -1 l
<br />'Aigl' Z
<br />lt' `-3
<br />-Tangent
<br />tf!-:
<br />External
<br />• "`Int.
<br />=Angle
<br />Tangent
<br />External
<br />1`
<br />50.00
<br />r�-..•-v
<br />2213.99-.g459-�-
<br />60°
<br />65° •
<br />d
<br />188:511
<br />-
<br />754.32
<br />49.44
<br />_ 10'
<br />53.34
<br />3010.
<br />5' T=.02
<br />409.03
<br />14.58
<br />10'
<br />702.80
<br />Do k
<br />20
<br />66.67
<br />39
<br />x,20.,,
<br />-417.41
<br />••, 15.19
<br />q-20
<br />771.29
<br />51.69
<br />30
<br />75.01
<br />0j 4J
<br />:11 '30,
<br />„425.79:..,;
<br />15.80
<br />- t�,,30
<br />779.77
<br />52.62
<br />40
<br />83.34
<br />.6l
<br />40
<br />434.17
<br />16.43
<br />40
<br />788.20
<br />53.97
<br />i,t 5U_
<br />:a
<br />91.63 ,
<br />.73,
<br />t50
<br />94 y;.55
<br />17.07,
<br />�a 60.
<br />708.76;
<br />, 55.13
<br />l a
<br />;1'Qo of
<br />ss
<br />s5
<br />4' e,
<br />a
<br />t •t
<br />£;
<br />U7
<br />1,
<br />1�
<br />.038 .035
<br />i'. 02}
<br />*- 101
<br />450 93'-
<br />:459.32-
<br />77,. 72
<br />-1.78 38
<br />1G
<br />101
<br />.805.25
<br />'=813.75'
<br />56,31
<br />57.6n
<br />0:::.116
<br />G3
<br />7:99 �;
<br />'.`! =20
<br />407:717
<br />. x:19 001
<br />.1 ; 20 •:'822.25-
<br />.083 7.093 .106
<br />' 58. i0
<br />30
<br />•125.02-
<br />o; J 1 3U i
<br />1 ' 30�
<br />1476:10,,
<br />t,19- 75
<br />' 1 30
<br />• 830.76
<br />59, 91
<br />:F^C 40
<br />;1;3.30'
<br />i 1 55
<br />40
<br />1 '�50
<br />.484 49-_,.20
<br />`
<br />45
<br />`121
<br />40
<br />'50
<br />839:27'
<br />"61.14
<br />56
<br />-
<br />111 r0
<br />llr'1d
<br />1 75
<br />S.
<br />�Y
<br />492 88-
<br />rk
<br />16
<br />1�� S
<br />t. ..l-�
<br />847 78•-
<br />♦l
<br />02.38
<br />1
<br />150.04\
<br />--1 96
<br />°10 a
<br />501 26
<br />2`1','89
<br />17•
<br />85630
<br />63.03
<br />_§'
<br />' 70
<br />-:138.n
<br />L. F 2;M;
<br />.,I!: to i
<br />••509 68
<br />,•22 62
<br />a, 10.:
<br />1364 82.
<br />64,00
<br />20
<br />130.72
<br />2.43
<br />20
<br />51S.08-
<br />.023 38
<br />ir' 20
<br />•.873 35
<br />G6. 18
<br />30
<br />175.06
<br />2.67
<br />30
<br />526.48_,'`'24`14
<br />221,1
<br />` 30 `-SS1:'88"
<br />1991-5
<br />' G7,47
<br />40
<br />183.40
<br />2.93
<br />401,
<br />.-53489'/
<br />324,91
<br />40
<br />890.41
<br />G8,77
<br />50
<br />191.74
<br />3._21
<br />50
<br />543;,29
<br />-' 25.70
<br />50
<br />808.95.
<br />70. OD
<br />!•' 50k
<br />_1261.5'
<br />137.23 '
<br />--50
<br />-1633.9
<br />228.4
<br />50 -
<br />2019.6
<br />-345.5
<br />4
<br />5 200.08
<br />t 3 %9'
<br />::11" i
<br />.551 0-
<br />` 26150+-
<br />'18 i ''- "
<br />907.49
<br />71.42
<br />10
<br />20
<br />208.43
<br />216.77
<br />3.79
<br />10
<br />)20
<br />560.11
<br />27.31
<br />10
<br />;916:03.
<br />72.76
<br />30
<br />225.12
<br />4.10
<br />�,4AV
<br />;�30---
<br />568.53
<br />576.95
<br />28.14
<br />-. 28.97
<br />20
<br />30"
<br />924-58
<br />933.13
<br />74.1`2
<br />75.49
<br />40
<br />233.47
<br />4.76.,
<br />i 40;
<br />585.36
<br />29.82"
<br />-30.68
<br />t,.4U
<br />941.69
<br />76,85
<br />50
<br />241.81
<br />5;10
<br />50
<br />593.79
<br />241:0.
<br />00
<br />950:25
<br />78.25
<br />50 :
<br />-1314:0,
<br />148.75 !
<br />50
<br />1688.4
<br />243.5'
<br />%•=•50
<br />2076.0;
<br />- 364.5
<br />5
<br />250.16
<br />6.46
<br />1-
<br />7G02 21•.
<br />31:56
<br />19; --958.81
<br />79.67
<br />10
<br />258,51
<br />5.83
<br />' 10 .
<br />'010.64'
<br />"'32:45
<br />X10
<br />9G7.38
<br />_
<br />81.09
<br />20
<br />266.80.'+"
<br />6.21"
<br />""
<br />if. 20
<br />'
<br />'619:07..
<br />33 35,
<br />;+•1 20-
<br />�975.9G
<br />82,53
<br />30
<br />275 21
<br />6 131 ..
<br />• .30
<br />" 637:50`
<br />, 34, 2G
<br />• , .36.
<br />984.53
<br />83.97
<br />40
<br />283 .5,
<br />"' 7.01
<br />'40"
<br />635.93•
<br />'�-35:18 •
<br />'"1' 1140,
<br />993.12
<br />85.43
<br />50
<br />291.02,
<br />7.43
<br />50,
<br />044,37
<br />30.12
<br />6
<br />50,-
<br />1D01.7
<br />86.90
<br />R 50
<br />:1366:8',
<br />160.76 }
<br />=•'-50
<br />1742.6
<br />..
<br />� -,
<br />2132.7
<br />0
<br />0
<br />300.28
<br />7.86
<br />13
<br />652 81
<br />i7'07
<br />" 20
<br />1010.3,-
<br />+88.39
<br />10
<br />308.64:
<br />a 8.31
<br />_' 10.
<br />.,6125:
<br />38.03*;
<br />'•;'.1 .10 •
<br />7018!9"
<br />59.89
<br />20 ;p316.99i
<br />1393:2
<br />8.76
<br />20
<br />,669.70
<br />39.0 1
<br />20
<br />1027.51.
<br />:
<br />9 40
<br />30
<br />325:35
<br />9.23
<br />30-
<br />' ;G7SA5
<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 />71044:7"
<br />94.46
<br />50 +
<br />342.08'
<br />_.,10.20
<br />50.1
<br />-G95:Or,
<br />42.00.
<br />50
<br />1053:3,
<br />96.01
<br />387•'
<br />1428:0'
<br />175.41
<br />- J
<br />,8 !
<br />278.1
<br />`
<br />YOGl.
<br />407:6
<br />7
<br />_350.44.
<br />-10,71
<br />14 '
<br />703.`61:
<br />1..43.03 '
<br />'214'
<br />O. `
<br />97.57
<br />10
<br />,333.81
<br />,- 11.22
<br />- l0":
<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 />"720144•
<br />--` 45.12
<br />20
<br />1079.2
<br />100.75
<br />30
<br />-375'.54'[
<br />12:29;
<br />.30
<br />?72$.90''46•'13''
<br />289.2
<br />'.30''
<br />1087•.8-.'.102.35
<br />421.4
<br />90
<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'i
<br />50
<br />1105.1
<br />105.00
<br />Corrections to be Added (T=Tangent.- E=ExternaI.)
<br />Int.
<br />°_
<br />Tagent
<br />!
<br />External
<br />AIilt- ngle
<br />Tangent
<br />Tixtcrnal
<br />Int.
<br />"Angle
<br />Angle Carve 5°
<br />'10°
<br />15° 20° 25° 30°,
<br />35- 40'
<br />45° 50° 55°
<br />60°
<br />65° •
<br />d
<br />188:511
<br />36°
<br />1861:7
<br />294.9
<br />u 10
<br />5.123.4
<br />103.90
<br />5' T=.02
<br />.03
<br />.05 .06 .08 .10-
<br />.11 `.I3
<br />.15 :16 .18
<br />.20.21
<br />20,'
<br />E=.000'
<br />.000
<br />.001 .001 .002 .002
<br />.002 .003
<br />.003 .004 .004
<br />.004
<br />•005
<br />10° T='.03
<br />06
<br />.09-':13 -.16 .19
<br />.22 25
<br />.29." ,31 .34
<br />-88
<br />.42
<br />B=.ODl
<br />.003
<br />_.004 .000 .007 -.908
<br />.009 .011
<br />.012 :.014 1015
<br />,017
<br />.016
<br />15° T=,04
<br />.10°
<br />.14 .19 .24 29
<br />:34 .39
<br />.53
<br />53
<br />.63
<br />C=.003 -,
<br />-:007
<br />.010 .014 .018 •023
<br />.027 .029
<br />.032 .D35 ,'039
<br />.013
<br />.047
<br />20° T=.06`
<br />-'f3-
<br />.19 .26 32 .39
<br />1 45 .61
<br />.58 .65,r .72•'
<br />°-.79
<br />.84
<br />E= 000
<br />:011
<br />,.017 .022 .028 .034
<br />.038 .035
<br />.051 .`.055 .063
<br />.070
<br />.076
<br />25° T=.08
<br />16
<br />.24 .33• .40 .49
<br />.58 .67
<br />.75 :83 .90.
<br />.99
<br />1.06 1•
<br />E=.009
<br />.018
<br />.027 .030 •046 .056
<br />.085 .074
<br />.083 7.093 .106
<br />.120
<br />.127
<br />13
<br />)06
<br />I6
<br />)20 t
<br />i8
<br />0
<br />10
<br />183
<br />Angle',
<br />°_
<br />Tagent
<br />!
<br />External
<br />AIilt- ngle
<br />Tangent
<br />Tixtcrnal
<br />Int.
<br />"Angle
<br />Tangent
<br />External
<br />2
<br />1113.7
<br />107.24'
<br />.32
<br />1481:8
<br />188:511
<br />36°
<br />1861:7
<br />294.9
<br />u 10
<br />5.123.4
<br />103.90
<br />,20`
<br />7U'
<br />`1490:7
<br />190.74'.'
<br />10'3
<br />1870.9
<br />297.7
<br />20,'
<br />.1431.0
<br />110.57:
<br />20
<br />'1499.6,
<br />192.99
<br />- 20 i
<br />-1580,1
<br />''300.6
<br />"303.5
<br />30tt
<br />14:39r7�
<br />112.25
<br />- t .30
<br />4508.5
<br />-1517.4
<br />195.25.;
<br />•' 30
<br />'
<br />1389.4
<br />306.4
<br />40f
<br />;1145.4
<br />113.95°
<br />40
<br />.59
<br />197.53:
<br />40
<br />1893.6
<br />'.138
<br />50,
<br />;1-157:0
<br />-115. OG
<br />_
<br />50
<br />1526.3
<br />199:82
<br />50
<br />1907.9
<br />309.3
<br />23
<br />11071•
<br />. ,
<br />117.33,.
<br />30
<br />1535.3
<br />202.12"
<br />31
<br />11017.1
<br />312.2
<br />10
<br />1174.c
<br />119.12
<br />10
<br />1544:2
<br />204.94
<br />10 '1
<br />1926.4
<br />315.2
<br />`201
<br />1183.1
<br />120.87!
<br />20
<br />1553.1
<br />206.77 .'
<br />20 ',
<br />1935.7•
<br />318.1
<br />--301
<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 />3571.0
<br />211.48
<br />40 :
<br />1954:3
<br />324.1
<br />80
<br />E=.030 •060 .093
<br />•126.20
<br />50
<br />-1580.0
<br />213.86
<br />-50
<br />1903.6'
<br />-327.1
<br />-1209.2,
<br />.
<br />1217.91
<br />128.00.
<br />3l
<br />1589'.0',
<br />216.3
<br />38-
<br />1972.9,
<br />"330:2
<br />024
<br />10
<br />1
<br />329.82
<br />10'
<br />1598.0
<br />218.7
<br />10
<br />1982.2'
<br />333.2
<br />20
<br />,1226..6
<br />*1235.3
<br />131.65..
<br />20
<br />1606.9
<br />221,1
<br />20 '
<br />"
<br />1991-5
<br />335.3
<br />Air, 30
<br />1244.0
<br />133.50 '
<br />301615.9
<br />'223.5
<br />30
<br />2000:9
<br />339.3
<br />4.0�
<br />1252.8
<br />135.35
<br />.40
<br />1624.9
<br />226:0
<br />40
<br />2010.2
<br />: 342.4
<br />!•' 50k
<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 />'1270.21
<br />139.11 1
<br />32
<br />1G43.0
<br />230.9
<br />39
<br />2029.0
<br />348:6
<br />30 ;
<br />=1279.0'
<br />141.01.1
<br />-••-10
<br />'1652.0
<br />'233.4 '
<br />10
<br />2038.4
<br />3.15118
<br />90
<br />1287.7'
<br />142.93
<br />20
<br />L661,0
<br />235.0
<br />3 20''
<br />2047.8'
<br />354.9
<br />30 a
<br />1296.5!
<br />144-$5 1
<br />30
<br />1670.0
<br />238.4
<br />30:z
<br />.2057,2
<br />35$.1
<br />40 '
<br />1305.31
<br />146-79
<br />_-
<br />40
<br />1079.1:
<br />241:0.
<br />40
<br />2066.6'
<br />301,3
<br />50 :
<br />-1314:0,
<br />148.75 !
<br />50
<br />1688.4
<br />243.5'
<br />%•=•50
<br />2076.0;
<br />- 364.5
<br />. i
<br />�
<br />26 -
<br />1322.8!
<br />150:71
<br />317
<br />1697:-2
<br />246.1 4
<br />-40
<br />2085:4
<br />357.7
<br />+•=10;
<br />-'1332;61
<br />,152.69'
<br />t•'-10
<br />1700-3 r
<br />248.71
<br />10
<br />2091.9
<br />371:0
<br />139D.41
<br />154;659-•
<br />'•'`20
<br />1715-3 t
<br />- 251.3
<br />20
<br />210.4.3
<br />- 374.2
<br />30
<br />-1349:2;
<br />'1 r.G..70
<br />-30
<br />1723,4
<br />-•253.9:
<br />'_--3D
<br />•2113.5•,.
<br />377.5
<br />40
<br />135S:0 -
<br />153.72 1
<br />T='40 '
<br />'1733,5'
<br />256. 5
<br />40
<br />2123.3
<br />380.8
<br />R 50
<br />:1366:8',
<br />160.76 }
<br />=•'-50
<br />1742.6
<br />259,1
<br />`--50
<br />2132.7
<br />384.1
<br />2T•'1375.6&'
<br />162,81`
<br />34.
<br />1 75 1.7
<br />261.8
<br />41
<br />2142.2
<br />387.4
<br />10
<br />1384.4,
<br />104.86 ;
<br />10
<br />1760.8
<br />264.5
<br />10
<br />2151.7
<br />390.7
<br />20 a
<br />1393:2
<br />106:95 ;
<br />'• 20
<br />-1770.0 '
<br />267.2 -
<br />20
<br />2161..2
<br />.' 394.1
<br />30 i
<br />'1402.01
<br />169.04 -
<br />30
<br />1779.1
<br />269.9
<br />30
<br />•40
<br />2170.8
<br />397.4
<br />•7s,40 1,
<br />-1410.9
<br />171.15
<br />40
<br />1788.2
<br />272.6
<br />-
<br />2180,3
<br />406.8 .
<br />-=50 .
<br />-1410.7
<br />173.27
<br />50
<br />1707.4
<br />275.3
<br />50
<br />2189 9
<br />404.2
<br />387•'
<br />1428:0'
<br />175.41
<br />35
<br />1800.6
<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 />7==-•` 20 r
<br />'1446.3
<br />179.72
<br />20
<br />1324.9
<br />, 283.6
<br />20
<br />2218.6
<br />414.5
<br />30 1
<br />_14.55.1
<br />182.89
<br />30
<br />]834:1
<br />286.4:
<br />30
<br />2228.1,
<br />415.0
<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 />186.29
<br />50
<br />1852.5
<br />2920
<br />50
<br />2247.3
<br />425:0
<br />-Corrections to be Added' (T =Tangent: E:=External:)
<br />Angle' Curve 5° ID°
<br />�dm
<br />jll
<br />15-
<br />20,
<br />:25°
<br />30°
<br />35° 40°
<br />45° 50° 55°
<br />60° "65°
<br />70°
<br />2p°.-
<br />" T=.4G' -.13 .19 .
<br />.26"
<br />.32
<br />.39
<br />45 .51
<br />.58 .05 '2
<br />.79 .84
<br />.90
<br />'.023
<br />E=.006• -011 .017
<br />.02'2
<br />.028
<br />,•034
<br />.038 .0.5
<br />.051 .057 .063
<br />.070 .076
<br />Y5°"
<br />.;T=,08. .16 '.24
<br />.33
<br />•.40
<br />.49
<br />.58 .67
<br />.75 .83 .90
<br />.D9 1.06
<br />1.14
<br />E=.009 018 .027
<br />.036
<br />.046
<br />.056
<br />.063 .04
<br />.033 .093 .IDG
<br />.120 .127
<br />.135
<br />30'T=.105
<br />.19 .29
<br />.39
<br />.49
<br />.59
<br />.69 .79
<br />.89 .9T 1.09
<br />1:0 1.291.39
<br />'.138
<br />E=.013 .025 .038
<br />.051
<br />.055
<br />.078
<br />.030 .103
<br />.116 .129 .149
<br />.170 :179
<br />35°
<br />=1t .22 .34
<br />.97
<br />.58
<br />.69
<br />.80 .93
<br />1.05 1.17 1.29
<br />1.42 1.64
<br />1.06
<br />E=.018 .035 .054
<br />'.072
<br />.086
<br />.100
<br />.131 .153
<br />.175 .197 ..213
<br />.230 .247
<br />.209
<br />40°
<br />77.13 .25 A0
<br />1 .07
<br />.30
<br />.63 1.06
<br />1.20 1.34 1.49
<br />1.64 1.79
<br />1.94
<br />E=.023 .0,16 .070
<br />.53
<br />093
<br />.117
<br />.141
<br />.172 ,.203
<br />.234 .265 .277
<br />.290 .315
<br />.34-1
<br />45°
<br />T=.15 .30 A4
<br />.60
<br />.76
<br />.91
<br />1.06 1.21
<br />1.37 1.52 1.70
<br />1-87 2.04
<br />2.21
<br />E=.030 •060 .093
<br />.110
<br />.153
<br />.184
<br />.216 .254
<br />.289 .325 .351
<br />.378 .411
<br />.445.
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