|
ly TAa1.E.:I. - Tangents and Externals to a 1' Curve.
<br />Chord =100 ft.
<br />�nt
<br />jg
<br />Tangent
<br />External
<br />Angle.
<br />Tangent External
<br />Angle,
<br />Tangent
<br />External
<br />43°
<br />2257.0
<br />428.5
<br />50°•-2671.8
<br />45°
<br />592.3
<br />67°
<br />3110.9
<br />79ti 1
<br />10'
<br />2266.6
<br />432.0
<br />10'
<br />2681.9
<br />596.0
<br />3121.7
<br />10'
<br />10'
<br />795.2
<br />'20
<br />2276.2
<br />435.6
<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 />695.3
<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 />SO
<br />•2305:2
<br />;446.4-
<br />50
<br />.2722.7
<br />614.0
<br />50
<br />3165.1
<br />816.1
<br />44
<br />2314.9
<br />450,0
<br />-51
<br />2732.9
<br />618.4
<br />58--
<br />3176.0
<br />821.4
<br />1D
<br />2324.6
<br />453.6
<br />10
<br />2743.1
<br />-622.8
<br />.10
<br />31SG.9
<br />826.7
<br />2C) 20
<br />2334.3
<br />'457 , 3
<br />L 20•
<br />2753.4L
<br />627.24
<br />20 '
<br />3197.8
<br />832.0
<br />3D
<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•2773.9
<br />40-
<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 />4S
<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 />'2363.1
<br />475.8
<br />j 10
<br />•�20L
<br />2804.9
<br />649.7:
<br />IO
<br />3252.7
<br />858.9
<br />- .20
<br />.2392.8.
<br />479.6E
<br />1115.1
<br />2815.2
<br />654.31
<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 />-30
<br />3374-8
<br />860.8
<br />40
<br />2412.4.
<br />487.2
<br />j 40
<br />2835.9
<br />663.4•
<br />40
<br />3285.8
<br />875.3
<br />50,
<br />2422.3,
<br />491.0
<br />50
<br />2846.3'
<br />-668.0.
<br />:;50
<br />3296:9
<br />880.8
<br />1.790.0
<br />67
<br />3792.4
<br />1141:4
<br />74
<br />4317.6
<br />1444.6
<br />81,
<br />4893.6
<br />49..c
<br />2-132.1'
<br />494.8•
<br />X53:.;
<br />2856.7
<br />672.7
<br />40
<br />3308.0
<br />680.4
<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 />2451:8:502.5',
<br />3328.4
<br />'20
<br />2877.5
<br />-,582.0;
<br />20
<br />3330:3
<br />897.5
<br />30
<br />2401:7
<br />506,41
<br />30
<br />'2888.0
<br />686.7-
<br />30 '
<br />;33.11:4
<br />. 903.2
<br />40
<br />2471.5
<br />510.37
<br />•40
<br />2898.4
<br />.691.4
<br />40
<br />3352.6
<br />908.8
<br />,
<br />50
<br />2481.4
<br />•514.3'
<br />'- 50
<br />2908,8.
<br />690.1,
<br />50
<br />3363.8
<br />91.1,5
<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 />2301.2
<br />'522.2
<br />10
<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 />a0
<br />2951.0
<br />715.3
<br />30
<br />3468.8
<br />937.3
<br />40
<br />2531.1
<br />534.2
<br />40
<br />2961.5
<br />720.1
<br />40
<br />3420.1.-,943.1
<br />5054.3
<br />30
<br />2541.0
<br />:538.2
<br />50
<br />2972.1
<br />725.0
<br />50
<br />3431.4
<br />948.9
<br />48
<br />2551.0
<br />542.2
<br />65'
<br />2082.7
<br />729;9
<br />62,L-
<br />.3442.7
<br />954.8
<br />'10
<br />2561.0
<br />540.3
<br />10
<br />2093.8
<br />734.8.
<br />-10
<br />3454.1
<br />960.6
<br />70
<br />2571.0
<br />550.4
<br />.21)
<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 />40
<br />972.4
<br />"40
<br />2591.0
<br />558.6
<br />40
<br />;3025:2
<br />749.6
<br />40
<br />.3476.8
<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 />40
<br />2611.2
<br />566.9
<br />56
<br />3046:5
<br />759.6
<br />1600.1
<br />35111, 1,
<br />900.2
<br />10
<br />2621.2
<br />-571.1
<br />10
<br />3057.2
<br />704.6
<br />10
<br />3522,8
<br />996.2
<br />20
<br />26313
<br />575.3
<br />':20
<br />3067.9
<br />769.7
<br />20
<br />3534.1
<br />1002.3
<br />"30
<br />2541.4
<br />579.5
<br />30
<br />3078.7
<br />774.7
<br />30
<br />3545,6'
<br />1008.3
<br />40
<br />2651.5
<br />583.8
<br />40
<br />.3089.4
<br />779.8
<br />40 ''3557.2
<br />50
<br />1014.4
<br />60
<br />2661.6
<br />"588.0
<br />50
<br />3100.2.
<br />754.9
<br />50
<br />3568.7
<br />1020.5
<br />Corrections to be Added (T=Tangent. `E=External.)
<br />Angle
<br />Curve 5° -10°
<br />15' 20° 25°
<br />30° 35° 1 40° 1 45° 50° .55° 1 60°- 65° 70°
<br />40°
<br />T=:18 .26
<br />.40 .53 .67
<br />.80 .93 .106 1.20 1,34 1.49 1.54 1.79 1,94
<br />Ezternai
<br />E=.023 .046
<br />.070 .093 .117
<br />.141 .172 .203 .234 .265 .277 .200 ,,315 .341
<br />45°
<br />T=,15 '80
<br />.44 ,60 •.78
<br />Al 1.06 1.21 1A7 1.52 1.70 1.87 2.04 2.21
<br />4639-.8
<br />E=.030 .060
<br />.093 .119 .153
<br />.184 .216 .254 .289 .325 .351 .378 .411 .445
<br />°
<br />T=.17 .34
<br />,51 -.G8 .85
<br />1.02 1.19 1,36 1.54 1.72 1.91 2.10 2.29 2,48
<br />10'
<br />)a:,037' 675
<br />.116 .151 .189
<br />.227 .265 .305 .345 .384 ,425 .467 .508 .550
<br />rbc°
<br />T=.191 .38
<br />.57 .76 f. .95
<br />1.I4 1.32 1.52 1.72 1.92 2.14 2.35 2.56 2.77
<br />1322.9
<br />E=.045 .093
<br />1 .142 AS81 1.2361.283
<br />..332 3.81 .420 ,4.79 .530 .582 .641 .700
<br />60° I
<br />T=.21 .42
<br />1 .63 .84 1'.05 •
<br />1.27 1.49 1.71 1.94 2.17 2.38 2.60 2.83 3,07
<br />1
<br />E=.056 ,112
<br />.108 .225 .283
<br />.340 .398 .457 .516 .575 .G3G .097 .Y74 .851
<br />°
<br />_ T-.23 .48
<br />.69 '93 1.16
<br />1.40 1.64 1.88 2.13 2.38 2.63. 2.88 3.13 8.89
<br />.•'40
<br />E=.067 .13S
<br />.204 273 .343
<br />.412 .483 ,554 .825 .697 .711 .845 .922 1.01
<br />TAeLr L --Tangents and Externals to a 1° Curve. V i
<br />Chord =100 ft.
<br />Angle '
<br />Tangcnt
<br />External
<br />AMZje
<br />Tangent
<br />.External
<br />Int.
<br />Angle
<br />Tangent
<br />Ezternai
<br />64'-
<br />3580.3
<br />I020.6
<br />71°.:
<br />4086.9
<br />1308.2
<br />'78°
<br />4639-.8
<br />1643.0
<br />10'
<br />3591.0
<br />1032.8
<br />10'
<br />4099:5
<br />1315,0
<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 />.4607.4
<br />1660.5
<br />30
<br />3615.1
<br />1045.2
<br />30
<br />4124.8
<br />11330.3
<br />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 />$038.5
<br />1057:7
<br />50;
<br />4150.1
<br />13¢5.1
<br />50
<br />4709.2
<br />1686.9
<br />65 '_'
<br />3G50.2
<br />1063.9
<br />72
<br />4162.8
<br />1352.6
<br />'79
<br />4723.2
<br />1695.8
<br />- •10
<br />3GG1.9
<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 />1082.0
<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 />1
<br />50
<br />4793.6
<br />1746.8
<br />66
<br />3120.9
<br />1102:2.
<br />73 '
<br />4239:7
<br />1398.0
<br />80 1
<br />4807.7
<br />1749.9
<br />10 "'8732.7.
<br />1108.6
<br />10
<br />4252.8
<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 />-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 />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 />1.790.0
<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 />,-
<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 />1324.1
<br />30
<br />3328.4
<br />1161.3
<br />30
<br />4356.9
<br />1168.4
<br />30
<br />4937.0
<br />1833.G
<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 />11492:4
<br />82
<br />4980.7
<br />1882:2
<br />'-40
<br />3876.8
<br />.1188.4
<br />10
<br />4409.8
<br />1500.5
<br />A
<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 />1.30
<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 />L215.8
<br />50
<br />4463.1
<br />I533.1
<br />50
<br />5054.3
<br />1910.7
<br />69--
<br />-3937.9
<br />1222.7
<br />.76
<br />447r,.5
<br />1541.4
<br />183 .
<br />5069.2.
<br />1920:5
<br />-10 '
<br />3950.2
<br />1229.710
<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 />1243.7
<br />30.
<br />.4516.9
<br />1566.3
<br />30
<br />5113,9
<br />1950.3
<br />,•3974:8
<br />40
<br />3987.2
<br />1250.8
<br />40
<br />4530.4
<br />1574.7
<br />40
<br />5128:9
<br />1960.2
<br />50 '
<br />3999:5
<br />1257.0
<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.
<br />4557.6
<br />1591.6
<br />84
<br />5159.0
<br />1080.4
<br />10.
<br />4024.4
<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 />„
<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 />4512.2.
<br />1025.7;
<br />40
<br />5219.7
<br />2021,1
<br />50.
<br />4074.4
<br />1300.91
<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 />InL
<br />Cvrre 5°
<br />10° 1 15° 20° 25° 1 30° 1 35°
<br />40°
<br />45°
<br />1 Sr
<br />55° 60° 65° 70°
<br />=Angle
<br />.19.07
<br />1.283 1.398
<br />.17151.6 2.575
<br />2.630 2.774 .83 3
<br />600
<br />E =356
<br />.178 .168 .225 1 340
<br />1 457
<br />.697 951
<br />1.16
<br />1.412 1.
<br />1.88
<br />2.13
<br />2
<br />83 3.922
<br />2.711
<br />65°
<br />E=.067
<br />.135 .204 .273 83
<br />.554
<br />.625
<br />697
<br />2845 1.01
<br />T= 25
<br />.51 .76 1.02 1:28 1.54 0
<br />1.8
<br />2.08
<br />2.33
<br />2.60
<br />2.88 3.18 3.44 3.72
<br />70-
<br />E=.080
<br />:159 .240 .321 AM .485 .568
<br />.652
<br />.735
<br />819
<br />.908 .994 1.08 1.17
<br />1 1.98
<br />1 4480 1.69
<br />2
<br />2
<br />0 13.47 13.78 4
<br />75"
<br />E=.095
<br />.182 .285 383 .578 678
<br />.777
<br />877
<br />977
<br />1.07 1.18 1.29 l
<br />fl.30
<br />.01 1.22 1.53 1.84 2,15
<br />2.48
<br />2.78
<br />8.10
<br />3-44 3.78 4.12 4.46
<br />84°
<br />E:.110
<br />.61
<br />.220 .332 .445 .558 .671 .787
<br />.903
<br />1.02
<br />1.13
<br />1.25 1.38 1.50 1.62
<br />85°
<br />T=.83
<br />66 1.00 1.33 1.68 2.02 2.36
<br />2,70
<br />3,05
<br />3.40
<br />3.77 4.14 4.SS 4:89
<br />E-128
<br />.259 .391 .524 .W .790 .926
<br />1.06
<br />1.20
<br />1.34
<br />1.47 7.62 1.76 1.91
<br />
|