|
_ TABLE L - Tangents and Externals, to a 1° Curve.
<br />C.i,^r,l=lnn F+
<br />Angle
<br />Tangent
<br />Exterriaf
<br />.,, ngje.r,
<br />Tangerit
<br />Esterrial
<br />Int.
<br />Angle
<br />TangentF49.
<br />External
<br />1°
<br />54:00'
<br />:22.
<br />8�'
<br />400.66
<br />13.99
<br />16°-
<br />754.321D'
<br />60°
<br />65°
<br />58-34'
<br />.30
<br />10'
<br />'' `400:03
<br />'`"14.58
<br />""10'
<br />752.8020
<br />.15.16 .I8
<br />.20
<br />66.67
<br />.39.
<br />._ 20.
<br />417.41
<br />15.18
<br />20.
<br />;.771.2930
<br />.003
<br />.003 .004 .004
<br />75.01
<br />:49
<br />',30�'
<br />°"40
<br />425.79
<br />.15:80
<br />- 34''
<br />779.7740
<br />.22-
<br />.25-
<br />83':-34'
<br />'`":fil
<br />.42
<br />-434.17'`10.
<br />43
<br />-"' 46
<br />788.26.
<br />:007 .008
<br />50 .,
<br />91.68
<br />.73
<br />.50
<br />442.55
<br />17.07.
<br />50
<br />796.75
<br />55.13
<br />.24 ° -.20
<br />.34
<br />.30
<br />.45 .51'
<br />1535.3
<br />^'17.72
<br />.68
<br />E=.003 ,.007
<br />`
<br />'=.010
<br />`'2
<br />100.01•
<br />g7
<br />9'
<br />450.93
<br />.58.63
<br />.043
<br />'lfi
<br />805.25
<br />56.31
<br />10 .'
<br />.108:35''
<br />.= 1.02:
<br />•10•
<br />.'459.32
<br />;18!38
<br />;'-10 :.
<br />313:75
<br />57.50
<br />-20--
<br />_116.63
<br />1.19
<br />20 '
<br />467..74
<br />19.06
<br />20
<br />522.25
<br />58.70
<br />30,,
<br />125.03,.;
<br />1.36.'
<br />30•
<br />476`:10
<br />19.75
<br />-30
<br />530.70
<br />59.91
<br />'- 40
<br />133:36
<br />-1:55
<br />40`
<br />.
<br />_20.4.5
<br />40"
<br />539.27
<br />61.14
<br />50
<br />.14L70:
<br />i1'.75'
<br />50:-x:'432.88
<br />_484:40
<br />.21.16"
<br />50
<br />817.78.
<br />62.38
<br />:-3 :•
<br />::150.04'
<br />.:1.06'
<br />10•'::.
<br />-=501:28
<br />21159'
<br />17 f.
<br />856.30
<br />W. 63
<br />30 .
<br />20
<br />,158.38:
<br />- 2.19,
<br />• 10' j
<br />509.68
<br />".22.62
<br />•10
<br />, 864:82
<br />64.90
<br />-
<br />166.72
<br />2:43
<br />20
<br />515:08
<br />,--.23:33 •
<br />.= ,.
<br />, 873.35
<br />CO. 18
<br />30
<br />175.06.
<br />2.67.
<br />30
<br />526.48
<br />2434•
<br />,20
<br />30 '
<br />881.88
<br />67.97
<br />40
<br />183.40
<br />2.93
<br />40 "
<br />'534.89
<br />` '24.91
<br />40
<br />890.41-
<br />63'.77
<br />5U
<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.OS
<br />3:49
<br />11
<br />`
<br />551:70
<br />26.50
<br />]_6_
<br />907.49
<br />71.4^
<br />FO
<br />208.43
<br />'216.77
<br />8.79
<br />1O
<br />560.11
<br />27.31
<br />10
<br />. 916.03.
<br />72.70
<br />20
<br />129G.5
<br />4.10
<br />20
<br />568.53
<br />28.14
<br />20
<br />"924`58"
<br />74.1:
<br />30
<br />225.1.2
<br />Y 4,42:
<br />30
<br />576.95
<br />2S.97
<br />130.
<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. G9
<br />76.56
<br />50
<br />241.51
<br />',"5:10•,
<br />50;'
<br />.593.79
<br />'r 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 />10
<br />2094.9
<br />371.0
<br />5
<br />2.50.16
<br />5.4fi
<br />12
<br />602'.21
<br />3156
<br />10
<br />958.51
<br />79.67
<br />10
<br />25S.51
<br />5.53
<br />10
<br />610:64
<br />32:45
<br />10
<br />967.38
<br />51.09
<br />20
<br />30
<br />266.86:
<br />275.21'•'
<br />6.21•
<br />-6.61`
<br />20
<br />±
<br />--619.01
<br />..33.35
<br />20..
<br />.975.90
<br />52.53
<br />- 50
<br />1266.8
<br />160.76
<br />30
<br />627:50`
<br />34.211.
<br />3U,
<br />984.53
<br />83.97
<br />90
<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 />;i0
<br />644.37
<br />3G. 12.
<br />50
<br />1001.7
<br />56.50
<br />6
<br />300.28
<br />_ 7:86
<br />R3
<br />652.81
<br />-37. 07
<br />-20 �
<br />1010.3
<br />85.39
<br />10
<br />30$.64_
<br />'; 8.31--
<br />1U •
<br />"20'
<br />x25
<br />38.03
<br />., l0
<br />1018? 4
<br />89.89
<br />,'20 ,..316.99.
<br />1410.9
<br />8.70
<br />40
<br />_061
<br />669.70
<br />39,01
<br />20
<br />_
<br />1027.5.,
<br />91.40
<br />30
<br />-325.35'
<br />9.23
<br />30.
<br />:678.15
<br />39.90'
<br />30 -`1036.-1
<br />2 189. 9
<br />92.92
<br />40
<br />-333-:71-
<br />- '9:71
<br />40
<br />6S6.60
<br />40.99•
<br />40
<br />2199.4
<br />04.46
<br />50 i
<br />342.08
<br />;.10.20
<br />80.i
<br />693,06
<br />42.00
<br />._.1044.7
<br />50
<br />1053.3
<br />96.01
<br />7
<br />10
<br />350:44
<br />358'81;
<br />10.71
<br />" 11,22
<br />14
<br />703.51'
<br />43.03
<br />21
<br />1051.9 i,
<br />07.57
<br />20
<br />•367.17`
<br />11.75
<br />• 10
<br />,'-20.'
<br />711.97
<br />720.44
<br />44.07
<br />45.12-
<br />10
<br />20
<br />1070.6
<br />1079.2100.75
<br />99.15
<br />30
<br />-375,54
<br />;._12.29
<br />30
<br />728.90
<br />45_1S
<br />30
<br />10S7.8 ''102.35
<br />421.4
<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 />745M__
<br />48.34.
<br />50
<br />1105.1
<br />105.60
<br />Corrections to be Added (T =Tangent. E=External.)
<br />TASLh I.: -"Tangents and Externals to' a-1` Curve. IIX
<br />Chord"=100 ft..
<br />int• "
<br />'Angle
<br />Tan erit
<br />g
<br />External
<br />'Int'
<br />Angle
<br />Tangent
<br />External
<br />int'
<br />Angle
<br />Tangent
<br />External
<br />22° '
<br />C 50 10°
<br />Anglgl e Curve
<br />15 °
<br />20''25? '
<br />_ -'30°'.:35°.
<br />188.51
<br />-40°
<br />45° 500 55°
<br />60°
<br />65°
<br />70°
<br />50 T=.42 .03
<br />.05
<br />.06.
<br />.08" .10
<br />.11
<br />`•,13
<br />.15.16 .I8
<br />.20
<br />31
<br />.23
<br />I';=-()00 .000
<br />.001
<br />.001
<br />'.002 .002
<br />.002
<br />.003
<br />.003 .004 .004
<br />.001
<br />.005
<br />.005
<br />IO° r=-03 .06
<br />.09
<br />.i3--;16
<br />.I9
<br />.22-
<br />.25-
<br />.28,'
<br />.38
<br />.42
<br />.46
<br />E=-001 .003
<br />.004
<br />'.006
<br />:007 .008
<br />.009_011
<br />1157.0
<br />.31 .34
<br />.012 .014 .015
<br />.017
<br />.018
<br />.020
<br />15° T=.04 .TO,.
<br />.14
<br />.19
<br />.24 ° -.20
<br />.34
<br />.30
<br />.45 .51'
<br />1535.3
<br />202.12'
<br />.68
<br />E=.003 ,.007
<br />`
<br />'=.010
<br />.014
<br />.018 .023
<br />.027
<br />.029
<br />-.53
<br />.032 .035'.;.039
<br />.58.63
<br />.043
<br />.047
<br />.051
<br />20' T=.06. .13
<br />i9
<br />.26
<br />.32 .39
<br />.45
<br />.51
<br />206.77
<br />20
<br />1935.7
<br />.90
<br />E -:006 .011
<br />..017
<br />.022
<br />.028 .034
<br />.038
<br />.015
<br />.031 .057 .063p
<br />.070.
<br />.84
<br />.076
<br />.083
<br />25° T=.03 IG .
<br />:24
<br />.=.4141G
<br />1571.0
<br />211.48
<br />G7
<br />75 :E3 00
<br />99
<br />1.OG
<br />1.14
<br />E=,OD9 .018
<br />:037
<br />.
<br />213.86
<br />50
<br />.074
<br />.053 '.093 .106
<br />.120
<br />.127
<br />•135
<br />TASLh I.: -"Tangents and Externals to' a-1` Curve. IIX
<br />Chord"=100 ft..
<br />int• "
<br />'Angle
<br />Tan erit
<br />g
<br />External
<br />'Int'
<br />Angle
<br />Tangent
<br />External
<br />int'
<br />Angle
<br />Tangent
<br />External
<br />22° '
<br />1113.7
<br />107:24
<br />290'•
<br />1491.8
<br />188.51
<br />36°
<br />1861.7.
<br />294.9
<br />101
<br />:1122.4
<br />108.90
<br />10'
<br />14.90.7
<br />190.74
<br />10'
<br />1870.9
<br />297.7
<br />-."20
<br />1131."0
<br />110.57
<br />20
<br />1.499.6
<br />192.99'
<br />20
<br />1880.1
<br />300.6
<br />25°.
<br />'11391.7
<br />112.25
<br />-30
<br />1508::5
<br />195.25
<br />30
<br />1889.4
<br />303.5
<br />.30
<br />' 40
<br />'1145.4
<br />113.95
<br />40
<br />I517.4
<br />197.53
<br />- 40
<br />1898.6
<br />306.4
<br />. 50 -
<br />1157.0
<br />115.66
<br />50
<br />152G.3
<br />199.82
<br />- 50 x'1907.0•
<br />T 4 10
<br />309.3
<br />23
<br />1165.7
<br />117:38
<br />30 2
<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 />316.2
<br />20
<br />1183.1
<br />120.87
<br />20
<br />1553.1
<br />206.77
<br />20
<br />1935.7
<br />818.1
<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 />15W O
<br />213.86
<br />50
<br />1963.6-:
<br />327.1
<br />24
<br />1.19
<br />128.00
<br />31
<br />1589.0
<br />216.3
<br />38
<br />1972.9
<br />330-.2
<br />10
<br />.1217.9
<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 />221,1
<br />20
<br />1991.5
<br />336.3
<br />-
<br />1244.0
<br />133..-50-
<br />30
<br />1615.9
<br />223:5
<br />30-
<br />12000.9.
<br />339.3
<br />_30
<br />40
<br />1252.8
<br />135.35
<br />•'40
<br />1624:9
<br />220.0
<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 />-t 10
<br />1279.0
<br />141.01
<br />10 .'1652.0
<br />233.4
<br />10
<br />2033.4
<br />351.8
<br />20
<br />1287.7
<br />142.93
<br />20
<br />16101.0
<br />235.9
<br />20
<br />2047.8
<br />354.9
<br />30
<br />129G.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 />14G.79
<br />40 '-1679.1
<br />241.0
<br />40
<br />2066.6
<br />361.3
<br />50
<br />1314.0
<br />14$.75
<br />50
<br />1638.1•
<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 />20S5.4
<br />3617.7
<br />10
<br />1331.6
<br />152.69
<br />10
<br />.1706.3.
<br />248.7
<br />10
<br />2094.9
<br />371.0
<br />20
<br />4340.4
<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 />2.123.3
<br />'350.8
<br />- 50
<br />1266.8
<br />160.76
<br />50
<br />'1742.6
<br />259.1
<br />50
<br />2.132.7.,
<br />384.1
<br />27
<br />1375;6
<br />162.81
<br />34 -•
<br />1751.7
<br />261.'$ '
<br />41
<br />2142.2
<br />387.4
<br />10
<br />1384.4
<br />.IG4.86
<br />10'
<br />176018'
<br />264.5
<br />10
<br />2151.7
<br />390.7
<br />20
<br />: 1393.2
<br />1GG.95
<br />20
<br />1770.0
<br />267.2 '
<br />20
<br />2161.2
<br />394.1
<br />30
<br />1402.0
<br />169.01
<br />.B0
<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 />1788.2-
<br />272.6
<br />•40
<br />2130.3
<br />400.8
<br />'60
<br />1419.7-
<br />173.27
<br />50
<br />1797A
<br />:275.3
<br />5U
<br />2 189. 9
<br />404.2
<br />28:
<br />14286
<br />175.41
<br />v35'-
<br />180G.G
<br />278.1
<br />42 •
<br />2199.4
<br />407.6
<br />10
<br />14374
<br />177.55
<br />- •:10
<br />1315.7
<br />280.8
<br />10
<br />2209.0
<br />411.1
<br />20:
<br />1446.3
<br />179.7220'
<br />'1824:0'
<br />283.6
<br />�20
<br />i2218.6
<br />434.5
<br />30.
<br />1455.1,
<br />181•.89
<br />•I .,301 '
<br />; 1834.1
<br />286.4
<br />'30
<br />2228.1
<br />415.0
<br />.-40,
<br />1464.0
<br />184.08
<br />4 .40
<br />1843.3
<br />289.2
<br />- 40
<br />2237.7
<br />421.4
<br />50.
<br />1.472:9
<br />180.29
<br />'' 50.
<br />'18.52.5
<br />292.0
<br />50-
<br />2247.3
<br />425.0
<br />. . Corrections •to be Added, (T =' Tangen t.- E =External.)
<br />A gls'
<br />Ctrve5°
<br />19° -150
<br />20°
<br />25°i
<br />30°
<br />35°
<br />40°
<br />45° 54° 55"
<br />600
<br />65°
<br />700
<br />80°
<br />T =.06'
<br />.13 .19
<br />:20
<br />.3z
<br />.39
<br />.45
<br />.51
<br />.5S .65 72
<br />.79
<br />.84
<br />.90
<br />E =.006
<br />Oli .017
<br />.022
<br />.028
<br />.034
<br />.038
<br />.045
<br />-.051 .057 .063
<br />.070
<br />.C7S
<br />.083
<br />25°.
<br />T=.63
<br />.1G .24
<br />-:33
<br />..40
<br />.49
<br />.58
<br />..57
<br />.75' .83 .90
<br />1.14
<br />E =.009
<br />018 .027
<br />.036
<br />.046
<br />.056
<br />.065
<br />.074
<br />.083 .093 .100
<br />.135
<br />T 4 10
<br />.19 .29
<br />.39
<br />.49
<br />.59
<br />.69
<br />.79.
<br />.89 .99 1.09
<br />t.21
<br />1.39
<br />E = 013
<br />.025 .038
<br />.051
<br />.065
<br />.078
<br />.090
<br />.103
<br />.116 .129 .140
<br />.188
<br />35°
<br />T=•1i
<br />_22 34
<br />.47
<br />.58
<br />.69
<br />.30
<br />.93.
<br />1.05 ).17 1.29
<br />1.66
<br />E =.018
<br />.035 054
<br />.072
<br />.086
<br />.109
<br />.131
<br />.153
<br />.175 '.107 .2I3
<br />.284
<br />4Do
<br />T =.13
<br />.26 .90
<br />53
<br />.67
<br />.80
<br />.03
<br />1.05
<br />1.20, 1.3d L49
<br />1.64
<br />1.19
<br />1.94
<br />E=.023
<br />.010 .070
<br />.093
<br />.117
<br />.141
<br />.172.
<br />3D3
<br />.234 .265 .277
<br />.200
<br />.315
<br />.341
<br />450
<br />T=.15
<br />.30 .44
<br />, .60
<br />.76
<br />.91
<br />1.06
<br />1.21
<br />1.37 L52 1.70.
<br />1.87
<br />2:04
<br />2.21
<br />-
<br />E =.030
<br />.060 .493
<br />.119
<br />.153
<br />.184
<br />-210
<br />.254
<br />.280 .325 .351
<br />378
<br />.411
<br />.445
<br />A
<br />
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