|
IV TABLE I: -,Tangentsand,Ezternals.to a 1°,Curve.
<br />Chord =100_M
<br />Int,Tangent
<br />• AnSle
<br />Corrections to'be Added'(T=Tangent. 'E=External.)
<br />External,
<br />IIIc'
<br />'Angle
<br />Tangent External
<br />B -
<br />Int"
<br />Angle
<br />Tangent
<br />External
<br />r'43° -
<br />2257:0
<br />W 428:5 .
<br />50°
<br />2671.8
<br />592.3
<br />b7° ~
<br />•3110.9
<br />790.1
<br />10'
<br />2266.6
<br />432.0:
<br />• 10'.
<br />2681.9
<br />596:6
<br />101
<br />,3121.7
<br />795.2
<br />20
<br />2276.2
<br />435.6-
<br />,
<br />20
<br />2692.1
<br />600.9 '
<br />20
<br />3132.6
<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 />40
<br />3154.2
<br />810.9
<br />50
<br />2305.2
<br />446.4 '
<br />50.
<br />2722.7
<br />614.0
<br />1.50
<br />,3165.1
<br />816.1
<br />,44
<br />2314:9
<br />450:0 !
<br />51
<br />2732:9
<br />618:41
<br />M'
<br />3176.0
<br />821:4
<br />10
<br />2324.6
<br />453.6 ;
<br />•. 10,
<br />2743A
<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 />.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 />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 />.848.1
<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 />16
<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 />483.4
<br />'30
<br />2825.6
<br />658.8
<br />307
<br />3274.8
<br />869.8
<br />40
<br />2412.4
<br />487.2
<br />40
<br />2835:9
<br />663.4
<br />40
<br />3285:8
<br />875.3
<br />150
<br />2422.3
<br />491:0
<br />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 />672.7
<br />60
<br />3308.0
<br />886.4
<br />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 />30
<br />2461•.7
<br />506.4
<br />; ,M
<br />2888.0
<br />686.7
<br />30":
<br />3341.4
<br />903.2
<br />`40
<br />2471.5
<br />510.3
<br />:40
<br />2898.4
<br />691.4
<br />40;
<br />3352.6
<br />908.8
<br />,r b0
<br />2481.4
<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
<br />54
<br />2919:4
<br />700:9
<br />61,:-
<br />3375.0
<br />920.2
<br />10
<br />2501.2
<br />522,2
<br />IQ
<br />2929.9
<br />705.7
<br />10 '
<br />3386.3
<br />925.9
<br />'20
<br />2511:2
<br />526.1
<br />20
<br />2940.4
<br />710.5
<br />20
<br />3397.5
<br />931.6
<br />30
<br />2521:1
<br />530.1-
<br />"30,
<br />2951.0
<br />715.3.
<br />•: 30.
<br />3408.8
<br />937.3
<br />40
<br />2531.1
<br />534,2
<br />r :40.
<br />2961'.5
<br />720.1
<br />40,
<br />3420:1
<br />943.1
<br />50
<br />2541.0
<br />533.2
<br />-56
<br />2972.1
<br />725.0
<br />50,
<br />3431.4
<br />948.9
<br />48•
<br />2551:0
<br />542:2
<br />55
<br />2982.7
<br />729:9 -
<br />62
<br />3442:7
<br />954.8
<br />10
<br />2561.0
<br />546.3
<br />,10
<br />2993.3
<br />734.8
<br />10
<br />3454.1.
<br />960.6
<br />20
<br />2571.0
<br />550.4
<br />20,
<br />3003.9
<br />739.7 '
<br />20
<br />3465.4
<br />966.5
<br />30
<br />2581:0
<br />554.5
<br />,30
<br />3014.5
<br />744.6
<br />30
<br />3476:8972.4
<br />5113.9
<br />40
<br />2591.0
<br />558.6 ;
<br />40
<br />3025:2
<br />749.6
<br />40
<br />3488.3
<br />978.3
<br />50
<br />2601,1
<br />562.8
<br />50.
<br />3035:8
<br />754,6
<br />50
<br />3499:7
<br />984.3
<br />49:
<br />2611.2
<br />566.9
<br />56 " `
<br />3046.5
<br />759.6
<br />63
<br />3511.1
<br />900.2
<br />1980.1
<br />2621.2
<br />571.1
<br />10
<br />3057.2
<br />764'.6
<br />10
<br />3522.6
<br />996.2
<br />810
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3067.9
<br />769.7
<br />20
<br />3534.1
<br />1002.3
<br />';30
<br />2641:4
<br />579.5
<br />30_.
<br />3078.7
<br />774.7
<br />30
<br />3545.6
<br />1008.3
<br />j40'
<br />2651.5
<br />583.8
<br />+40
<br />3089.4
<br />779.8
<br />40.
<br />3557.2
<br />1014.4
<br />;, 50
<br />2661.6
<br />588.0
<br />i,i,50
<br />3100.2
<br />784.9.
<br />; . 50
<br />3568:7
<br />1020.5
<br />TAsii4. - Tangents and Externals to a-1.°• Curve, 'V
<br />Chord =100 f t.
<br />Int..
<br />Angle
<br />Corrections to'be Added'(T=Tangent. 'E=External.)
<br />Int., ';Curve 5°'
<br />`'10° `15°• 20° 25° 30° 35° 40° 45° 5° 60°s -65° 40-
<br />A410
<br />External
<br />Int:
<br />Angle -
<br />40°
<br />T=.13
<br />26 .40 .53 -.67 .80 .93 =.1061.20 49 1:64 1,79 1:94
<br />3580:3
<br />,: : E=,023
<br />:046 .070 r.093 :117 .141 '.172 ,203 .234.277 .. 0 .315 .341
<br />4086.9
<br />1308•.2
<br />.37 .21
<br />1.216 OG 1.254 .21 1 52
<br />1 ?:411 2445 +
<br />�5?
<br />E=.030
<br />060 .093 '.119 .153 .184 289 3_1 378
<br />$2.172"18
<br />3591.9
<br />T=,17
<br />•-.34 1.02' 1.19 1.36 1.54 .91 2.10 2.29 2.48
<br />50
<br />:'E=.037
<br />.51 .68 _-:85
<br />-.075 -.116 -.151 .189 ..227 .266 .305 .345.425 '.467 .508 .550
<br />55°
<br />T=:19 '
<br />.38 ..57 :76 .95 1:14 1.32 1.52 1.72 .14 2.35 2.56 2.77
<br />'.188 '.582
<br />'3603.5
<br />E=.046
<br />:093 -,142 236 .283 _.332 3.81 ,420.530 .641 .700
<br />4112.1
<br />T=21 `
<br />•.42 •:63 .84 1.05 1.27 1.49 1.71 1.94 :38 2.60 2.83 307
<br />60°
<br />E=.056
<br />.112 .168 ':225 283 340 398 :457 ,518.636 ..697 .774 .851
<br />3615.1
<br />1045.2
<br />.88 2,625 2.3
<br />1.483 .64 1 13
<br />1:343 2,711 63 2.845 .88 3.922
<br />r 1 3.
<br />I, IE=.067
<br />1.135 -.2041 '273 1412 554 697 1.01
<br />1
<br />TAsii4. - Tangents and Externals to a-1.°• Curve, 'V
<br />Chord =100 f t.
<br />Int..
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />. Angle
<br />Tangent
<br />External
<br />Int:
<br />Angle -
<br />Tangent
<br />• 7
<br />Ext
<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
<br />'3603.5
<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 />30'
<br />4124.8
<br />1330.3
<br />f.£ 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 />3661.0
<br />1070.2
<br />10
<br />4175,6
<br />1360,1
<br />10
<br />4737.2
<br />1704.7 .
<br />20
<br />3673.7
<br />1076.6
<br />20
<br />4188.5
<br />1367.6
<br />20,'
<br />4751.2
<br />1713.7
<br />30
<br />3685.4
<br />1082.9
<br />30_
<br />4201:2
<br />1375.2
<br />30
<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 />X66 :
<br />3720'.9
<br />1102.2
<br />73;'
<br />4239:7
<br />1398:0
<br />80-,,, !
<br />4807.7
<br />1749.9
<br />'10
<br />-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 />1 30
<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 />42911.5
<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 />40
<br />3840.5
<br />1168.1
<br />40.
<br />4370.1
<br />1476.4
<br />40:
<br />4951.5
<br />1843.1
<br />50
<br />3852:6
<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
<br />4396.5
<br />1492.4
<br />82 '•.'.
<br />'4980.7
<br />1862.2
<br />10
<br />3876:8
<br />1188.4
<br />"10.
<br />4409.8
<br />1500.5
<br />10'
<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 />i83 "-=-
<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 />3962.5
<br />1236.7
<br />20
<br />4503.4
<br />1558.0
<br />., 20
<br />5099.0
<br />1940.3
<br />.30
<br />3974:8
<br />1243.7
<br />30.
<br />4516.9
<br />1566.3
<br />..'30,
<br />5113.9
<br />3950.3
<br />•'40
<br />3987.2
<br />1250.8
<br />;40.
<br />'4530.'4
<br />1574.7
<br />40
<br />5128.9
<br />3960.2
<br />50
<br />3999.5
<br />1257.9
<br />50,
<br />.4514.0
<br />1583.1
<br />50
<br />5143.9
<br />1970.3
<br />70
<br />4011:9
<br />1265:0
<br />:77
<br />4557:6
<br />1591:6
<br />.84j '.
<br />5150:0
<br />1980.1
<br />10
<br />402414
<br />1272.1
<br />10'
<br />4571.2
<br />1600.1
<br />10
<br />5174.-1
<br />:1990.5
<br />20
<br />4036:8
<br />1279.3
<br />20
<br />4584:8
<br />1608.6
<br />20.
<br />-5189:3
<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 />50
<br />4074.4
<br />1300.9
<br />:'50,
<br />1626.0
<br />1634.4
<br />, ,50
<br />.5234.9
<br />2031.4
<br />Corrections to be Added (T =Tangent. E=External.)
<br />5° 10° 15°
<br />20°
<br />25° 30°
<br />35°
<br />40° 45°
<br />50°
<br />50 60°
<br />65°
<br />70°
<br />Angle- •Curve
<br />60° T =:21 '..42 .63 -�;84
<br />1.05 ` 1.27 '
<br />1.49
<br />1.71 1.94
<br />2.17-
<br />2.38 2_.60
<br />-.6971-.774
<br />2,83
<br />3.07
<br />E =.066 .112 .168
<br />_225
<br />.283 .340
<br />.398
<br />.457 .516
<br />..575
<br />.638
<br />MI.
<br />65° -T=.23 .46.=.69
<br />93
<br />1.16 1.40
<br />1.64
<br />1.88 2.13
<br />2.38
<br />2.63 2:88
<br />3.13
<br />3.39
<br />-E=4.067 .135 .204
<br />.273
<br />.343 .412
<br />•:483
<br />.554 -.,625
<br />.697
<br />'.711 .845
<br />.922,1.01
<br />70° T-.25 .51 .76.
<br />1.02
<br />1.28 1.54'
<br />1.80
<br />2.06 2.33'
<br />2.60
<br />2.88 3.16
<br />3.44
<br />3.72,
<br />E =.080. .159 240
<br />.321
<br />.403 .485
<br />.568
<br />.652 .735
<br />.819
<br />-.908 _.994
<br />1.08
<br />1.17_
<br />75° T=.27, .56 , ..83
<br />1.12
<br />1,40 1:69 T
<br />198
<br />2.27 2.57
<br />2.87
<br />3.16 3.47
<br />3.78
<br />449
<br />-E-B5 ..182 '288
<br />383
<br />,480 .578
<br />".678
<br />..777 .877
<br />.977
<br />1.07.. 1.18
<br />1.29
<br />1.39
<br />so* =.30 81 91
<br />1.22`
<br />1.53 1.84
<br />2.15
<br />2.40 2278
<br />3.10
<br />3.44 3.78
<br />4.12
<br />4.46
<br />E=,110 220. 332
<br />.445
<br />..558 .671
<br />.787
<br />.903 1.02
<br />1.13
<br />1.25 1.38
<br />1.50 -
<br />1.62
<br />T=.33" 66 1.00
<br />i.33
<br />1.68 2.02
<br />2:36
<br />:70 3.05
<br />3:40
<br />3.77 4',14-4.55
<br />4.89
<br />E=.128 259 .391
<br />':524
<br />.657 .790
<br />.926
<br />1,06' 1.20.
<br />1.34
<br />-1.47 1:62
<br />1.76
<br />1.91
<br />
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