|
IT TABLE T. - Tangents and Externals to a 1° Curve.
<br />Chord=100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Frit:
<br />Angle
<br />Tangent
<br />E xternal
<br />Int.
<br />- Angle
<br />Tangent
<br />External
<br />V
<br />50,00
<br />,22
<br />S. -
<br />400.66
<br />13.99
<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 />2O
<br />60.07
<br />,39
<br />20
<br />417.41
<br />15-.18
<br />'M
<br />771.29
<br />5168
<br />30
<br />75:01
<br />,49
<br />30.
<br />425.79
<br />15.80
<br />30
<br />779.77
<br />52,.82
<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 />5O
<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 />.1=7.72
<br />.16
<br />805.25
<br />56.31
<br />10
<br />103.35
<br />1.03.
<br />10
<br />459.32
<br />18.38
<br />10
<br />813.75
<br />57.50
<br />20
<br />116.G8
<br />I,19
<br />20
<br />..467.71
<br />19. OG
<br />20
<br />822.25
<br />58.70
<br />30
<br />125.03
<br />1:3G
<br />30 '
<br />47G10
<br />19.75
<br />30.'
<br />830.76
<br />59,91
<br />40
<br />133,36
<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 />3
<br />150.04
<br />1.96
<br />19
<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
<br />864.82
<br />64.90
<br />20
<br />1GG.72
<br />2.43
<br />20
<br />515.03
<br />23,38
<br />20
<br />873.35
<br />66.18
<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 />200.08
<br />3.49
<br />11'
<br />551.70
<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'M
<br />74,12
<br />30
<br />225.12
<br />442'"30
<br />30
<br />576:95
<br />28.97,
<br />30
<br />933.13
<br />75.49
<br />40
<br />233.47
<br />4'7(1'40
<br />40
<br />585.36"'
<br />29.82'
<br />•:40
<br />9-11.69
<br />76.86
<br />50
<br />2.11.81
<br />5.10
<br />50
<br />593.79
<br />30.68'
<br />50
<br />950.25
<br />78.26
<br />6
<br />250.16
<br />5.46
<br />12'.
<br />GO2.21.
<br />31:56
<br />19 -
<br />958.81
<br />79.67
<br />10
<br />238.51
<br />5.83
<br />10
<br />610.64'
<br />32:45
<br />10
<br />9G7738
<br />81.09
<br />20
<br />266. EG
<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 />234.26
<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 />S0
<br />1001.7
<br />86.90
<br />6
<br />300.28
<br />7.86
<br />1.3
<br />652.81
<br />37.07
<br />41
<br />1010.3
<br />88.39
<br />10
<br />308.64
<br />8.31
<br />10
<br />601.25
<br />38.03
<br />.20
<br />.10
<br />1018.9-
<br />89.89
<br />20
<br />316.99
<br />8.76
<br />20
<br />609.70•
<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 />68G.60
<br />40.99
<br />40
<br />1044:7
<br />94.46
<br />50
<br />342.65
<br />10.20
<br />50
<br />695706
<br />42.00
<br />59
<br />1053.3
<br />96.01
<br />7
<br />350,44
<br />1,0,71
<br />14
<br />703.51"
<br />43.03
<br />21
<br />'"
<br />1061.9
<br />97.57
<br />10 :
<br />353:81
<br />11,22
<br />10
<br />711.97
<br />44.07
<br />10
<br />1070.6
<br />99.16
<br />20
<br />267.17
<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 />333.01
<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 />Int_
<br />Angle Cure. 5°
<br />LO°
<br />15°
<br />20° 1 25° 30° 35° .40°
<br />45°
<br />50° 55° 1 60°
<br />65°
<br />70
<br />5° T=.02.03
<br />23°'
<br />.05
<br />06 .08 .10 .11 .13
<br />.15'
<br />.18 .18 .20
<br />.21
<br />2
<br />E=.000
<br />:000
<br />.001
<br />.001 .002 .002 ..002 ".003
<br />.003
<br />.004 .004 :004
<br />.005
<br />.0
<br />10° T=.03
<br />.06
<br />.09
<br />-.13 ".16 .19 .22 ..25
<br />.28.
<br />.31 .34 .38
<br />A2 -
<br />A
<br />E =.D61
<br />.003
<br />.10
<br />.004
<br />.006 .007 .008 .009 .011
<br />.012
<br />•.014 .015 .017
<br />.018
<br />.63
<br />.0
<br />.6
<br />15° T=.04
<br />.14
<br />.19 .24 .29 34 .39
<br />.45
<br />.51' .53 .58
<br />E =.003 _
<br />.007
<br />.010
<br />.014 .018 .023 .027 .029
<br />.032
<br />035 .039 .043
<br />.047
<br />.0
<br />20° T=.OG"
<br />-13-
<br />.19
<br />.26 .32 .39 ,45 .51
<br />.58
<br />.65.' .72 ' .79
<br />.81
<br />•4
<br />.011_
<br />.017
<br />.022 .023 .034 .038 .045.051
<br />117.38
<br />.'057 .003 .070
<br />.076
<br />•0
<br />--R=-000
<br />25° T=.08
<br />.1$
<br />.24
<br />.33 .40 ,49 .58 .67
<br />.76
<br />.83 -90 .99
<br />1.06
<br />1.1
<br />E =009
<br />.018
<br />.027
<br />.036 .040 .056 X05 .074
<br />,083
<br />.093 .156 .120
<br />.127
<br />.1
<br />5
<br />0
<br />1
<br />3
<br />5
<br />TAnl.r I. - Tangents and Externals to a 1' Curve. TII
<br />. Chord =100 ft.
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />Iut-
<br />t]lagle
<br />Tangent
<br />EYLer-d
<br />Int•
<br />Angle
<br />Tangcnt
<br />External
<br />23°'
<br />1113.7
<br />'29°-
<br />1481.S.
<br />188.51
<br />36°
<br />1861,7
<br />294.9
<br />101
<br />1122.4
<br />,107.24
<br />108.90
<br />10'
<br />1490.7
<br />100.74
<br />10'
<br />1870.0
<br />297.7
<br />20
<br />.0339
<br />3 .057
<br />110.67 '
<br />20
<br />1499.6
<br />192.99'
<br />20
<br />1880.1
<br />300.6
<br />3U
<br />,11.1.0
<br />1139:7•
<br />112.23
<br />30
<br />1505.5
<br />195.25
<br />30
<br />1889,4
<br />303.5
<br />40
<br />1145:4
<br />11.3.95
<br />40
<br />1517.h
<br />197.53
<br />40
<br />I898.G
<br />306.4
<br />50
<br />17..,7.0
<br />11.5. GG
<br />50
<br />152G.3
<br />199.82
<br />50
<br />1907.9
<br />309.3
<br />23
<br />1165,7
<br />117.38
<br />30
<br />1535.3
<br />202.12
<br />31
<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 />1553.1
<br />206.77
<br />20
<br />1935.7
<br />318.1
<br />30
<br />1'191.8
<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 />12G.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 />1569.0
<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 />-336.3
<br />20
<br />'1235.3
<br />131.65
<br />20
<br />•160G.9
<br />221.1
<br />20
<br />1991.5
<br />3O
<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 />135.35
<br />40
<br />1624,9
<br />226.0
<br />40
<br />2010.2'
<br />342.4
<br />1.1252,8
<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 />V
<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 />2038-1
<br />' 351,8
<br />20
<br />1237.7
<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 />1.48.75
<br />'50
<br />1688.1
<br />243.5
<br />50
<br />2076.0
<br />364.5
<br />26
<br />1322.5
<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 />.1700.3
<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 />21,32.7
<br />384.1
<br />27
<br />.1375.6
<br />102.81
<br />34
<br />1751.7
<br />261.8
<br />41
<br />2142.2
<br />357.4
<br />10
<br />1384.4
<br />164.86
<br />10
<br />1760.8
<br />264.5
<br />10
<br />215 1. 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 />109.04
<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 />1.788.2
<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 />1'428,6
<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 />10
<br />1815.7
<br />280.8
<br />10
<br />2209.0
<br />411.1
<br />2O
<br />1446.3'
<br />,177.55
<br />179.72
<br />11 20
<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 />134.08
<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 />292.0
<br />50
<br />2247.3
<br />425.0
<br />Corrections to be Added (T =Tangent. E =External.)
<br />°
<br />Int. ° 10. IS°
<br />Qtv4e5
<br />20°
<br />25° 30°
<br />35° 40°
<br />45° 501
<br />55° 60°
<br />65°
<br />70°
<br />Angle
<br />20° T=.06 .13 .19.26
<br />.32 .
<br />.45 .51
<br />.58 .65
<br />.72 .79
<br />.84
<br />.90
<br />E�.006 .011 .017
<br />.02a
<br />.028 .034
<br />.033 .015
<br />.0339
<br />3 .057
<br />.05.. .070
<br />.076
<br />.083
<br />T=.08 _16 .24
<br />.33
<br />.40 A9
<br />.58 '.67
<br />'.15 .83
<br />.90 .99
<br />1.06
<br />1,14
<br />E"-009 .018 .027
<br />.036
<br />.64C .036
<br />.OG5 .074
<br />433 .093
<br />,106 .120
<br />.127
<br />.135
<br />30° T=.10 .10' 29
<br />.39
<br />.49 .59
<br />.69 79
<br />.89 -.99
<br />1.09 1.70
<br />1.29
<br />1,39
<br />=.
<br />F 013 . .025 -.038
<br />.051
<br />.055 .073
<br />.090 .103
<br />.116 .129
<br />•149 .170
<br />.179
<br />.188
<br />35° T =•11 .22 .34
<br />.47
<br />.58 .BO
<br />.80' .93
<br />1.05 1.17
<br />1.29, 1.42
<br />1.54
<br />1.66
<br />F.=1018 '.035 .054
<br />.072
<br />.080 .109
<br />.131 .153
<br />.175 .197
<br />.213 .230
<br />.217
<br />264
<br />.26 .40
<br />.53
<br />.67 .80
<br />.93 1.06
<br />L20 1.34
<br />1.49 1,04
<br />1..79
<br />194
<br />E =.023 ,046 .070
<br />.093
<br />.117 .141
<br />,172 .203
<br />.234 .265
<br />,277 .290
<br />.315
<br />.341
<br />45° T=.15 .30 .44
<br />.60
<br />.76 .91
<br />1.06 1 21
<br />1.37 1.52
<br />1.70 1.87
<br />2.04
<br />2,21
<br />E== A60 .093
<br />.11.9
<br />.153 .1.84
<br />.216 254
<br />.28`.1 .325
<br />.351 .273
<br />.411
<br />:445
<br />
|