|
Iv- TABLE I. =,Tangents:irid_Externals.to•a'1°,Curve.
<br />Chord .100'_ft.
<br />Int.
<br />Angle
<br />Tangent
<br />-i
<br />External'
<br />Int.Int.
<br />:Angle
<br />Tangent External �
<br />Angle l
<br />Tangent
<br />External
<br />,43°'
<br />_2257.0
<br />.1428.5
<br />50°
<br />2671:8
<br />592.3
<br />1-57°-t
<br />-3110.9
<br />-790.1
<br />,10'
<br />2266:6
<br />•'432.0
<br />y 10'
<br />2681.9
<br />•596,610!"
<br />..106
<br />3121.7"
<br />+ 795.2
<br />,j,1,-20
<br />2276:2
<br />435.6
<br />20
<br />2692:1
<br />600.9
<br />20
<br />8132.6
<br />800.4
<br />,;-30
<br />2285.9
<br />439.2
<br />30
<br />2702.3
<br />605.3:
<br />; ,30
<br />•3143.4
<br />805.6
<br />40
<br />2295:6
<br />442.8
<br />`.'40
<br />2712.5
<br />609..6
<br />X40.
<br />3154.2
<br />810.9
<br />50
<br />2305_2
<br />446.4
<br />50`
<br />2722:7
<br />614.0
<br />50_'
<br />•3185.1
<br />816.1
<br />44 =
<br />2314.9
<br />450.0 `
<br />51 '
<br />2732.9
<br />618.4
<br />58 : r
<br />3176.0
<br />821.4
<br />10
<br />2324.6
<br />453.6
<br />10
<br />2743.1
<br />622.8
<br />-10
<br />3186.9
<br />826.7
<br />20
<br />2334.3
<br />'457.3 "
<br />20
<br />2753.4
<br />627.2
<br />. , -
<br />20..
<br />3197.8
<br />832.0
<br />30
<br />2344.1
<br />461.0
<br />30
<br />2763.7
<br />631.7
<br />30,
<br />3208.8
<br />837.3
<br />;r 40
<br />2353.8
<br />464.6
<br />.- 40,
<br />2773:9
<br />636.2
<br />40�
<br />3219.7
<br />^842.7
<br />.50
<br />2363.5
<br />468.4
<br />50
<br />2784.2
<br />640.7-
<br />50'_
<br />3230.7
<br />:548.1
<br />45
<br />2373:3
<br />472.1 '
<br />52
<br />2794.5
<br />645.2'
<br />59
<br />3241.7
<br />853.5
<br />10
<br />2383.1
<br />475.8
<br />10
<br />2804.9
<br />649.7
<br />10^
<br />3252.7
<br />858.9
<br />20.
<br />.2392.8
<br />479.6
<br />'20
<br />2815.2
<br />654.3
<br />20
<br />3263.7
<br />864.3
<br />30
<br />2402.6
<br />433.4:
<br />i 30
<br />2825.6
<br />658.8
<br />36
<br />3274.8
<br />.869.8
<br />40
<br />2412:4
<br />487.2
<br />is .40
<br />2835.9
<br />663.4
<br />40
<br />3285.8
<br />875.3
<br />�.: 50
<br />2422.3
<br />491.0
<br />p 50
<br />2846.3
<br />668.0
<br />;; 50,
<br />3296.9
<br />,880.8
<br />,46 -
<br />2432.1
<br />494:8]
<br />53,.
<br />2856.7
<br />67 2.7-
<br />60, .+
<br />3303.0
<br />886.4
<br />F' ''10
<br />2441.9
<br />498.7 '
<br />�., 10
<br />2867.1-
<br />677.3
<br />- 10.
<br />3319.1
<br />,892.0
<br />{., 20
<br />^2451.8
<br />502.5
<br />20
<br />: 2877.5
<br />682.0 '"
<br />20
<br />3330:3
<br />897.5
<br />80
<br />2461.7
<br />506.4
<br />30
<br />2888.0
<br />686.7
<br />30
<br />3341.4
<br />903.2
<br />40
<br />2471.5
<br />510.3:
<br />i '40
<br />2898.4
<br />691.4
<br />40'
<br />3352:6
<br />.908.8
<br />-:40
<br />2.481:4
<br />514.3. ;
<br />,,, 50,
<br />; 2908.9
<br />696.1
<br />50.
<br />3363.8
<br />914.5
<br />'47-^:
<br />2491.3
<br />518:2 +.64-'-
<br />1181:6
<br />2919:4
<br />700.9
<br />61 x.;.1
<br />3375.0
<br />920.2
<br />••10
<br />2501.2
<br />.
<br />522.2 '
<br />4.;10,•
<br />2929.9
<br />705:7
<br />j,lot ^
<br />3386.3
<br />925.9
<br />is 20
<br />2511.2
<br />526.1::'
<br />L, 120-
<br />^2940:4
<br />710.5 .:
<br />��,20:"
<br />3397.5
<br />.931.6
<br />30
<br />2521:1
<br />530..1 '
<br />130
<br />' 2951:0
<br />715.3-,
<br />!x,,30_ '
<br />3408.8
<br />937,3
<br />40
<br />2531:1
<br />534.2
<br />;40
<br />2961:5
<br />_ 720.1 s
<br />";r,40,'
<br />3420:11
<br />,943.1
<br />50 ,
<br />2541:0
<br />538.2.
<br />X50
<br />. 2972:1
<br />725.0
<br />501'
<br />3431:4
<br />948.9
<br />48:: +:
<br />2551.0
<br />542.2 f
<br />' 5'5 f ;
<br />2982.7f.
<br />, 729;9;
<br />82 ^p
<br />3442.7
<br />954•:8
<br />•10
<br />2561.0
<br />546.3
<br />1;,110,
<br />2993.3
<br />734.8
<br />3,10.
<br />3454:1
<br />.960.6
<br />.20
<br />2571.0
<br />550.4 ;
<br />'20
<br />: 3003:9
<br />739.7 '
<br />i3O.20i;
<br />3465.4
<br />966.5
<br />30
<br />2581:0
<br />554.5 !
<br />c:, 30,
<br />; 3014.:1
<br />,t 744.6
<br />t^,30, •
<br />3476:8
<br />.972.4
<br />..40
<br />2591.0
<br />558.6
<br />f;,'40. '
<br />; 3025.2
<br />749.6
<br />', ; 1,40; '
<br />3488.3
<br />978.3
<br />x,_'50
<br />,2601.1,
<br />5G2:8
<br />1;,,50 .
<br />3035:5
<br />_ 754:6 '
<br />' .,50
<br />449-1-
<br />4fl-i-
<br />984.3
<br />1970.3
<br />,49 r ^
<br />149_v^
<br />2611.2
<br />566:9 'I
<br />' 56.(-,,
<br />3046.5,
<br />759.6;
<br />63 , ; '
<br />3511;1
<br />990.2
<br />K,1 10
<br />2621:2
<br />571.1 ;
<br />' E
<br />3057.2
<br />764.6 A
<br />;10:.'
<br />3522:6
<br />996:2
<br />7. • 20
<br />2631.3
<br />575.3
<br />,,10.
<br />; ^ ,120,
<br />3067.9
<br />769.7 f
<br />20
<br />3534.1
<br />1002.3
<br />1,,Z, 30
<br />2641.4
<br />579.5
<br />_'30
<br />3078-.7
<br />774.7 f
<br />j;,30
<br />3545.6
<br />1008.3
<br />:40
<br />2651.5-
<br />553.8
<br />+ '40,
<br />.3089:4
<br />779.8 r
<br />.;, 40
<br />3557:2
<br />1014.4
<br />p,r_50
<br />266116
<br />538.0 !
<br />^ h,,50,
<br />3100.2
<br />784.9 '
<br />„50
<br />3563.7
<br />1020.5
<br />Corrections'to:be- Added `(T =Tangent. :'E = External:)
<br />Int i
<br />Angle
<br />-Curve 5°"
<br />10°
<br />15°
<br />"20°
<br />25°
<br />'30°
<br />`35°
<br />40°
<br />45°
<br />50°
<br />'55°
<br />60°.
<br />.65°
<br />70°
<br />o
<br />r40..
<br />T=:13
<br />.26
<br />:40
<br />.53
<br />.67
<br />.80
<br />.93
<br />..106
<br />1.20
<br />1.34
<br />1.49
<br />1.64.
<br />1.79
<br />1.94
<br />20.
<br />E=.023'
<br />.016
<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 />o
<br />45 ',•
<br />T=:15 ,
<br />.30
<br />.44
<br />.60
<br />.76
<br />.91'
<br />1.06
<br />11.21
<br />1.37
<br />1:52
<br />1.70
<br />1.87
<br />2:04
<br />2.21
<br />50
<br />E=.030
<br />.060
<br />.093
<br />.119
<br />.153
<br />.184
<br />.".218
<br />.254
<br />.289
<br />.325
<br />.351
<br />.378
<br />.411
<br />.445
<br />50°
<br />-T=:17--,
<br />.34
<br />.51
<br />.68
<br />.85
<br />1.02
<br />1.19
<br />1.36
<br />1.54
<br />1.72
<br />1.91,
<br />2.10-
<br />2.29
<br />2.48
<br />30
<br />X E =.037
<br />.075
<br />..116
<br />.151
<br />.189
<br />.227
<br />.266
<br />.305
<br />.345
<br />..384
<br />'.425
<br />.467
<br />.508
<br />.550
<br />:55°-
<br />T=.19.
<br />.38
<br />.57
<br />.76
<br />.95'
<br />1.14
<br />1.32
<br />-.332
<br />1.52
<br />1.72
<br />1.92
<br />2.14
<br />2.35
<br />2.56
<br />2.77
<br />73. •.:
<br />E=.046
<br />.093
<br />.142
<br />'.188
<br />.236
<br />.283
<br />3.81
<br />.420
<br />.479
<br />.530
<br />.582
<br />.641
<br />:700
<br />60°
<br />T=.21.
<br />A2
<br />.63
<br />.S4
<br />1.05
<br />127
<br />1.49
<br />1.71
<br />1.94
<br />2.17
<br />2.38
<br />2.60
<br />2.R3
<br />3.07
<br />30 '
<br />'" E'=.056
<br />.112
<br />.168
<br />.225
<br />.283
<br />.340
<br />.398
<br />.457
<br />.516
<br />.575
<br />.636
<br />.697
<br />.774
<br />:851
<br />65°
<br />T=.23 '
<br />.46
<br />.69
<br />93
<br />1.16
<br />1.40
<br />1.64
<br />1.88
<br />2.13
<br />2.38
<br />2.63
<br />2.88
<br />'.845
<br />3:13
<br />3.39
<br />10
<br />E =.067.
<br />.135
<br />.204
<br />.2731
<br />t.343
<br />.412
<br />.483
<br />.554
<br />.625
<br />.697
<br />.711
<br />20.
<br />.922
<br />1.01
<br />TABLE L'.- Tangents iii&Externals to a V Clirve. v
<br />Chord = 100 f t t
<br />Int.
<br />Angle
<br />Tangent
<br />'- '
<br />External
<br />lilt.
<br />Angle :
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />64°.•''
<br />3580:3
<br />1026:6
<br />71°'
<br />4086.9
<br />1308.2
<br />'78°"'
<br />4639.8
<br />1643.0
<br />10''
<br />3591:9
<br />1032.8
<br />'10,
<br />4099.5
<br />1315,6
<br />10'
<br />4653:6
<br />1651.7
<br />•20 ':3603:5
<br />'65'
<br />1039.0
<br />20.
<br />4112.1
<br />1322.9
<br />20,
<br />4667.4
<br />1660.5
<br />"'30
<br />3615.1
<br />1045.2
<br />80.
<br />4124.8
<br />1330.3
<br />1 30
<br />4681.3
<br />1669.2
<br />"-40'
<br />--3626:8
<br />1051.4
<br />40-
<br />4137.4
<br />1337.7
<br />40
<br />.4695.2
<br />1678.1
<br />50
<br />-3638.5
<br />1057.7
<br />.50"
<br />.4150.1
<br />.1345.1
<br />50
<br />4709.2
<br />1686.9
<br />65-"'
<br />3650:2
<br />1063.9.
<br />72
<br />'4162:8
<br />1352:6
<br />`79'.:,
<br />4723.2
<br />1695.8
<br />10
<br />3661.9
<br />1070.2
<br />r 10'
<br />4175.6
<br />1360.1
<br />10
<br />4737.2
<br />1704.7
<br />20
<br />.3673.7
<br />1076.6
<br />i _20,
<br />4188.5
<br />1367.6
<br />20
<br />4751.2
<br />1713.7
<br />30
<br />8685.4
<br />1082.9
<br />80_
<br />4201-.2
<br />1375.2
<br />80
<br />4765.3
<br />1722.7
<br />40
<br />3697.2
<br />1089.3
<br />40.
<br />4214.0
<br />1382.8
<br />40
<br />4779.4
<br />1731.7
<br />50
<br />3709.0
<br />1095.7
<br />'50
<br />4226.8
<br />1390.4
<br />50
<br />4793.6
<br />1740.8
<br />66 '.
<br />3720.9
<br />1102.2
<br />73. •.:
<br />4239:7
<br />1398:0
<br />80
<br />4807.7
<br />1749.9
<br />10 '•3732.7
<br />1108.6
<br />10
<br />4252.6
<br />1405.7
<br />10'
<br />4822:0
<br />1759.0
<br />• 20
<br />3744.6
<br />1115.1
<br />20
<br />4265:6
<br />1413.5
<br />20
<br />4836.2
<br />1768.2
<br />.30
<br />'3756:5
<br />1121.7
<br />M
<br />4278.5
<br />1421.2
<br />30 '
<br />4850.5
<br />1777.4
<br />.'40
<br />3768.-5
<br />1128.2
<br />.'40:
<br />4291.5
<br />1429.0
<br />40
<br />4864.8
<br />1786.7
<br />50
<br />.3780.4
<br />1134.8
<br />, '50,'
<br />4304.6
<br />1436.8
<br />50
<br />4879.2
<br />1796.0
<br />67`,'.
<br />3792.4
<br />1141:4
<br />74,'•.
<br />4317.6
<br />1444.6
<br />81.;
<br />4893.6
<br />1805.3
<br />10
<br />:3804.4
<br />1148.0
<br />10,
<br />4330.7
<br />1452.5
<br />10
<br />4908.0
<br />1814.7
<br />20
<br />3316:4
<br />1154.7
<br />20.
<br />4343.8
<br />1460.4
<br />20
<br />'4922.5
<br />1824.1
<br />'_=30
<br />3828:4
<br />1161.3
<br />30'
<br />-4356.9
<br />1468.4
<br />30 '
<br />4937.0
<br />1833.6
<br />'.AO
<br />8840:5
<br />1168.1
<br />.40.
<br />4370.1
<br />1476.4
<br />.40
<br />4951.5
<br />1843.1
<br />l:50
<br />8852:6
<br />.1174.8
<br />:50.
<br />4383.3
<br />.1484.4
<br />. 50
<br />4966.1
<br />1852.6
<br />68._ '
<br />3864:7
<br />1181:6
<br />75="':i'
<br />-4396.5
<br />1492:4
<br />.82 -
<br />4980.7
<br />1862.2
<br />i 10
<br />'3876.8
<br />1188.4
<br />?40;
<br />4409.8
<br />1500.5
<br />40
<br />4995.4
<br />1871,8
<br />20
<br />•3889.0
<br />1195.2
<br />20.
<br />4423.1
<br />1508.6
<br />;-20, '
<br />.5010.0
<br />1881.5
<br />:-30
<br />3901.2
<br />1202.0
<br />30`
<br />4436.4
<br />1516.7
<br />30:
<br />5024.8
<br />1891.2
<br />40
<br />3913.4
<br />1208.9
<br />40
<br />4449.7
<br />1524.9
<br />40
<br />5039.5
<br />1900.9
<br />.'50
<br />3925.6
<br />1215.8
<br />50°
<br />4463',1
<br />1533.1
<br />50
<br />5054.3
<br />1910.7
<br />69 :
<br />3937.9
<br />1222;7,
<br />.76[""
<br />'4476.5
<br />1541.4
<br />83:"
<br />'5069.2
<br />1920.5
<br />-... 10
<br />.3950:2
<br />1229.7
<br />10.
<br />4489.9
<br />1549.7
<br />'.10
<br />5084.0
<br />1930.4
<br />.:20
<br />13962:5
<br />1236.7
<br />20:
<br />,4503-.4
<br />1558.0
<br />':20
<br />5099,.0
<br />1940.3
<br />J..30
<br />8974.8
<br />1243.7
<br />.30.
<br />4516.9
<br />1566.3
<br />30
<br />5113.9
<br />1950.3
<br />nAO
<br />.3987:2
<br />1250.8
<br />-40
<br />453014
<br />1574.7
<br />" .40
<br />,5128.9
<br />1960.2
<br />.!450
<br />3999.5
<br />1257.9
<br />50:
<br />4544.0
<br />1583.1
<br />50
<br />*5143.9
<br />1970.3
<br />'.70- '.
<br />.4011.9
<br />1265.0
<br />77 1
<br />4557:6
<br />1591.6
<br />84
<br />5159.0
<br />1980.4
<br />10
<br />4024.4
<br />1272.1
<br />10.
<br />4571.2
<br />1600.1
<br />10
<br />5174.1
<br />3990.5
<br />20
<br />.4036:8
<br />1270.3
<br />20
<br />4584.8
<br />1608.6
<br />20
<br />5159.3
<br />2000.6
<br />^.:'30
<br />4049:3
<br />1286.5
<br />,30
<br />4598.5
<br />1617.1
<br />30
<br />5204.4
<br />2010.8
<br />40
<br />4061:8
<br />1293.6
<br />_40
<br />4612.2
<br />1625.7
<br />40
<br />5219.7
<br />2021.1
<br />-150
<br />•4074:4
<br />1300.9
<br />.50
<br />4626.0
<br />1634.4
<br />50
<br />5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E=External.)
<br />Int.
<br />Curve 5°
<br />10° 15°
<br />20°
<br />25° 30°
<br />350
<br />40° 45° 50° 55° 60° 65° 70°
<br />_Angle ^
<br />60°
<br />T=.21
<br />.42 :63
<br />.84
<br />1.05 1.27
<br />1.49
<br />1.71 1.94' 2.17 2.38 2_.60 2.83 3.07
<br />E=.056
<br />.112 ..168
<br />.225
<br />.283 .340
<br />.398
<br />.457 .516 .575 .636 .697 .774 ;851
<br />'65'
<br />T=.23
<br />.46 . .69
<br />.93
<br />1.18 1.40
<br />'.343
<br />1.64
<br />1.88 2.13 2.38 2.63 2.88 3.13 3.39
<br />E=.067
<br />.135 .204
<br />.273
<br />.412
<br />.483
<br />.554 .625 .697 .711 .845 .922 1.01
<br />700
<br />T=.25
<br />.51 .76
<br />1.02
<br />1.28 1.54
<br />1.80
<br />2.06 2.33 2.60 2.88 3.16 3.44 3.72
<br />E-.080''
<br />.159 .240
<br />.321
<br />.403 .485
<br />.568
<br />.652 .735 .819 .906 .994 1.08. 1.17
<br />75°
<br />T=.27
<br />58 .83
<br />1.12
<br />1.90 1.69,
<br />1.98
<br />2.27 2.57 2.57 3.18 3.47 3.78 4.09
<br />E=.095
<br />.182 .286
<br />.383
<br />.480 .578
<br />.678
<br />.777 .877 .977 1.07 11.18 1.29 1.39
<br />80,
<br />. T=.30
<br />61 .91
<br />1.22
<br />1.53 1.84
<br />2.15
<br />2.46 2.78 3.10 3.44 3.78 4.12 4.46
<br />E=.110
<br />220 ..332
<br />.445
<br />.558 .671
<br />.787
<br />.903 1.02 1.13 1.25 1.38 1.50 1.62
<br />SSo
<br />T=.33
<br />66' 1.00
<br />1.33
<br />1.68 2.02
<br />2.38
<br />12.70 3.05 3.40 3.77 4.14 4.55 4.89
<br />4
<br />E=.128 "
<br />459 .301
<br />.524
<br />.657 .790
<br />.926
<br />1.06 1.20 1.34 1.47 1.62 1.76 1.91
<br />A
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