|
VI TABLE I. - Tangents and Externals to a 1° Curve.
<br />Chord =100 ft -
<br />Angle
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />tangle
<br />Tangent
<br />External
<br />85° '
<br />5250.3
<br />2041.7
<br />92°,
<br />5933.2
<br />2518:5
<br />99°_,
<br />6708.6
<br />3092.7
<br />10'
<br />5265.6
<br />2052.1
<br />101.
<br />5930.5
<br />2531.0
<br />10'
<br />6728:4
<br />3107.7
<br />20
<br />5281.0
<br />2062,5
<br />20
<br />5967:9
<br />2543.5
<br />20
<br />6748.2
<br />3122.9
<br />30
<br />5296.4
<br />2073.0
<br />30
<br />5985.3
<br />2556.0
<br />30
<br />6768.1
<br />3138.1
<br />40
<br />5311.9
<br />2083.5
<br />..•40
<br />6002.7
<br />2568.6
<br />40
<br />6788:1
<br />3153.3
<br />50
<br />5327.4
<br />2094.1
<br />50
<br />6020.2
<br />2581.3
<br />50
<br />6808.2
<br />3168.7
<br />86
<br />5343.0
<br />2104.7
<br />93
<br />6037.8
<br />2594.0
<br />100 '
<br />6828.3
<br />3184.1
<br />10
<br />.5358.6
<br />'5374.2
<br />2115.3
<br />10
<br />6055:4
<br />2606.8
<br />10
<br />0848.5
<br />3199.6
<br />20
<br />2.80
<br />2126.0
<br />20
<br />6073:1
<br />2619.7
<br />20
<br />5.38
<br />3215.1
<br />30
<br />5389.9
<br />2136..7
<br />30
<br />G090:8
<br />2062.6
<br />30
<br />,-6868.8
<br />6.889.2
<br />3230.8
<br />40
<br />5405.6
<br />2147.5
<br />40.
<br />6108.6
<br />2645.5
<br />40
<br />T =.43
<br />3246.5
<br />50
<br />5421.4
<br />2158.4
<br />50'
<br />6126.4
<br />2658.5
<br />50
<br />.6909.6
<br />6930.1
<br />3262.3
<br />87
<br />5437.2
<br />2169.2
<br />94
<br />6144.3
<br />2671:G
<br />101'
<br />69.50.6
<br />3278:;1
<br />10
<br />5453.1
<br />2180.2
<br />10
<br />6162.6
<br />2684,7
<br />10
<br />6971.3
<br />3294.1
<br />20
<br />5469.0
<br />2191.1
<br />20
<br />6180.2
<br />2697.9
<br />20
<br />6992.0
<br />3310.1
<br />30
<br />5484:9
<br />2202.2
<br />'30,
<br />6198.3
<br />2711.2
<br />30
<br />7012.7
<br />3326.1
<br />40
<br />5500.9
<br />2213.2
<br />40'
<br />G216.4
<br />2724.5
<br />2.39
<br />7033.6
<br />3342.3
<br />50
<br />5517:0
<br />2224.3
<br />50
<br />6234.6
<br />2737.9
<br />.40
<br />50
<br />7054.5
<br />3358.5
<br />•88
<br />5533.1
<br />2235.5
<br />95
<br />6252.8
<br />2751;3
<br />102
<br />.7075.5
<br />3374:9
<br />10
<br />5549.2
<br />2246.7
<br />10-
<br />6271.1
<br />2764,8
<br />.10
<br />7096.6
<br />3391.2
<br />20
<br />5565.4
<br />2258.0
<br />.20
<br />6289.4
<br />2778.3
<br />20
<br />-7117.8
<br />3407.7
<br />'30
<br />5581:6.
<br />2269.3
<br />30
<br />6307.9
<br />2792,0
<br />30'
<br />7139:0
<br />3424.3
<br />40
<br />-50
<br />5597.8
<br />2280.6
<br />40
<br />6326.3
<br />2805,6
<br />40
<br />'7160.3
<br />3440.9
<br />:.50:
<br />5614.2
<br />2292.0
<br />50
<br />6344.8
<br />2819,4
<br />'50
<br />7181.7
<br />3457.6
<br />89 '
<br />'5630.5
<br />2303.5
<br />96,
<br />6363.4
<br />2833:2
<br />103 :
<br />1,7203.2
<br />3474.'.4
<br />10
<br />5646,9
<br />2315.0
<br />10
<br />6382.1
<br />2847.0
<br />10
<br />7224.7
<br />3491.3
<br />20
<br />5663.4
<br />2326.6
<br />20
<br />6100.8
<br />2861,0
<br />20
<br />7246.3
<br />3508.2
<br />30
<br />5679.9
<br />2338.2
<br />30:
<br />6419.5
<br />2875,0
<br />30
<br />7268.0
<br />3525.2
<br />40
<br />:5696.4
<br />2349.8
<br />40
<br />6438:4
<br />2889.0
<br />40
<br />7289.8
<br />3542,4
<br />50
<br />5713.0
<br />2361.6
<br />50
<br />6457.3
<br />2903.1
<br />:50
<br />7311.7
<br />3559.6
<br />80
<br />5729.7
<br />2373.3
<br />97
<br />6476,2
<br />2917.3
<br />104 7
<br />'7333.6
<br />3576:8
<br />10
<br />.5746.3
<br />2385.1
<br />10
<br />6495.2
<br />2931,6
<br />10
<br />7355.6
<br />3594.2
<br />20
<br />5763.1
<br />2397.0
<br />-20
<br />6514.3
<br />2945,9
<br />20
<br />7377.8
<br />3611.7
<br />30
<br />5779.9
<br />2408.9
<br />30.
<br />6533.4
<br />2960.3
<br />30
<br />7399.9
<br />.3629.2
<br />40
<br />5796.7
<br />2420.9
<br />40
<br />6552.6
<br />2974.7
<br />40
<br />7422.2
<br />3646.8
<br />50
<br />5813.6
<br />2432.9
<br />50
<br />6571.9
<br />2989.2
<br />50
<br />7444.6
<br />3664.5
<br />91 '-
<br />5830.5
<br />2444.9
<br />98
<br />6591.2
<br />3003.8
<br />105 '
<br />74G7.0
<br />3682:3
<br />10
<br />.5847.5
<br />2457.1
<br />.10
<br />6610.6
<br />3018.4
<br />, 10
<br />:7.189:6
<br />3700.2
<br />20
<br />5864.6,
<br />2469.3
<br />20'
<br />6630.1
<br />3033..1
<br />20
<br />7512x2
<br />3718.2
<br />'30
<br />5881.7
<br />2481.5
<br />30
<br />6649.6
<br />3047.9
<br />30
<br />7534.9
<br />3736.2
<br />40
<br />5898.8
<br />2493.8
<br />40
<br />6669.2
<br />3062.8
<br />40
<br />7557,7
<br />3754.4
<br />50
<br />5916.0
<br />2506.1
<br />50
<br />6688.8
<br />3077.7
<br />50
<br />7580.5
<br />3772.6
<br />-Corrections to be Added (T =Tangent. E: = External:)
<br />Int,
<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 />1 60°
<br />65°
<br />70°
<br />85°
<br />T=.33 .
<br />66
<br />1.00
<br />1.33
<br />1.68
<br />2.02
<br />2.30
<br />2.70
<br />3.05
<br />3.40
<br />3.77
<br />4.14
<br />4.55
<br />-4.89
<br />20
<br />E =.128•
<br />.259
<br />.391
<br />.524
<br />.657
<br />-.790
<br />.92811.06
<br />'3846.5,
<br />1.20
<br />1.34
<br />1:47
<br />1.62
<br />1.76
<br />1:91
<br />96°
<br />T=.-
<br />=,36
<br />.72
<br />1.09
<br />1.45
<br />1.83
<br />2.20
<br />2.57.
<br />2.94
<br />3.32
<br />3.70
<br />4.10
<br />4.50
<br />4.91
<br />5.32
<br />50
<br />E=.149
<br />.299
<br />.450
<br />.603
<br />.758
<br />.910
<br />1.07
<br />1.22
<br />11.38
<br />1.54 11.70
<br />5236.2
<br />1.87
<br />i 2.03
<br />2.20
<br />95*
<br />T=M
<br />.79
<br />1.19
<br />1.55,
<br />2.00
<br />2.40
<br />2.80
<br />3.20
<br />3.61
<br />4.02
<br />4561.1
<br />4.98
<br />5.38
<br />5.83
<br />.30
<br />E =.174
<br />.350
<br />.5221
<br />.706
<br />.985
<br />1.06
<br />1.25
<br />1.43
<br />11.62
<br />180
<br />_4.49
<br />1.99
<br />2.18
<br />2.38
<br />2.58
<br />l0U°
<br />T =.43
<br />.86
<br />1.30
<br />1.74
<br />2.18
<br />2.62
<br />3.06
<br />3.50
<br />3.fl5
<br />4.40
<br />4.88
<br />5.37,
<br />5.85
<br />8.34
<br />113
<br />E =.200
<br />.401
<br />.604
<br />.809
<br />1.01
<br />1.22-
<br />1.43
<br />1.64
<br />1.85
<br />2.05
<br />.2.28
<br />2.50
<br />2.73
<br />12:96
<br />`105°
<br />T'=.46
<br />94
<br />1.42
<br />1.90
<br />2.38
<br />2.87
<br />3.34
<br />3.84
<br />4.35
<br />4.84
<br />5.35
<br />5.87
<br />8.40
<br />8.93
<br />30 ..9630.7.
<br />E =230
<br />470
<br />.700 .938
<br />1.17
<br />1.42
<br />1,65
<br />1.90
<br />2.14
<br />2.39
<br />2.64
<br />2.00
<br />13.16
<br />13.41
<br />TABLE I. - Tangents and Externals to a 1° Curve. VII'
<br />Chord= -100 it.
<br />Int.
<br />Angle'
<br />Tan ent
<br />g
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />g
<br />External
<br />Int.
<br />Angle
<br />:Tan gwft
<br />External .
<br />106°
<br />7603:5.
<br />3791.0
<br />111°
<br />8336:7
<br />4386.1
<br />1160 -
<br />9169.4
<br />5082.7
<br />10'
<br />7626.6.,
<br />3809.4
<br />10'
<br />8362.7
<br />4407.6
<br />10'
<br />'9199.1:
<br />5107.9
<br />20
<br />7649.7
<br />3827.9
<br />20
<br />8388.9
<br />4429.2
<br />20
<br />9229.0
<br />5133.3
<br />30
<br />-7672''9
<br />'3846.5,
<br />30
<br />8415.1
<br />4450.9
<br />30
<br />9259.0
<br />5158.8
<br />40
<br />:7696.3
<br />3865.2
<br />? 40
<br />8441.5
<br />4472.7
<br />40
<br />9289.2
<br />.5184.5
<br />50
<br />7719.7
<br />3884.0
<br />50•
<br />8468.0
<br />4494.6
<br />50
<br />9319.5
<br />5210,3
<br />167 _
<br />7743.2•
<br />3902.9
<br />112.
<br />8494.6
<br />4516.6
<br />117.
<br />9349.9
<br />5236.2
<br />10
<br />7766.8
<br />8921.9
<br />'10
<br />8521.3
<br />4538.8
<br />10
<br />0380.5
<br />5262.3
<br />26
<br />7790:5'
<br />3940.0
<br />20
<br />8548.1
<br />4561.1
<br />20
<br />9411,3
<br />5288.6
<br />.30
<br />'7814.3
<br />3960.1
<br />30
<br />8575.0
<br />4583.4
<br />•30
<br />9442.2
<br />5315.0
<br />;40
<br />'7838.1
<br />3979.4
<br />40
<br />8602,1•
<br />4606.0
<br />40
<br />9473:2.
<br />5341.5
<br />50
<br />'7862:1
<br />3998.7
<br />50
<br />8629.3
<br />4628.6
<br />50
<br />9504.4
<br />5368.2
<br />108 .`
<br />•.7886:2
<br />4018.2
<br />113
<br />8656.6
<br />:4651.3
<br />118
<br />9535.7,
<br />5395.1
<br />10
<br />7910.4
<br />4037.8
<br />10
<br />8684.0
<br />'4674.12
<br />.10..
<br />9567.2
<br />5422.1
<br />20
<br />7934.6
<br />4057.4
<br />20
<br />8711.5
<br />4697.2
<br />."20.
<br />9598.9
<br />5449.2-
<br />30
<br />7959.0
<br />4077:2
<br />30
<br />8739.2.,4720.3
<br />30 ..9630.7.
<br />5476.5
<br />40
<br />7983:5
<br />4097.`1
<br />40
<br />8767.0.
<br />4743.6
<br />409662:6.
<br />5504.0
<br />50
<br />8008.0
<br />4117.0
<br />50
<br />8794.9
<br />4766.9
<br />50.
<br />0
<br />969417-
<br />5531.7
<br />109•
<br />.8032.7
<br />4137.1
<br />114
<br />882219
<br />4790.4
<br />119
<br />9727.0.
<br />5559.4.
<br />.10
<br />8057.4
<br />41,57.3
<br />10
<br />.8851.0•
<br />4814.1
<br />10
<br />9759,4.
<br />5587.4
<br />20,
<br />8082.3,
<br />4177.5
<br />20 1
<br />8879.3
<br />4837.8
<br />20•
<br />9792:0
<br />5615.5
<br />30
<br />8107.3
<br />4197.9
<br />30
<br />8907.7-.4861.7
<br />30:
<br />0824.8
<br />5643.8
<br />40
<br />.8132:3
<br />4218''4
<br />40
<br />8936.3
<br />4885.7
<br />40 :
<br />9857.7
<br />5672.3
<br />:.50:
<br />8157.5
<br />4239.0
<br />50
<br />8965.'0
<br />4909.9
<br />50
<br />9890.8-
<br />5700.9
<br />110
<br />8182.8'
<br />4259.7
<br />115•
<br />8993.8
<br />4934.1
<br />120 '
<br />9924.0
<br />5729.7
<br />10
<br />'8208.2
<br />4280.5
<br />10
<br />9022.7
<br />4958.6
<br />10'
<br />9957.5,:
<br />5758.6
<br />20
<br />8233.7
<br />4301.4
<br />20
<br />9051.7
<br />4983.1
<br />20 .
<br />9991:0-
<br />5787.7
<br />.30
<br />'8259.3
<br />4322.4
<br />30
<br />9080.9
<br />5007:8
<br />30.,
<br />10025.0'
<br />5817.0
<br />40
<br />8285.0
<br />4343.6
<br />40
<br />9110.3
<br />5032.6
<br />'40.
<br />10059.0
<br />5846.5
<br />50
<br />8310.8
<br />.4364.8
<br />50
<br />•0139.8
<br />5057:6
<br />50
<br />10093-.02
<br />5876.1
<br />Corrections to be Added (T = Tangent. E = External.)
<br />Int:'
<br />Angle -
<br />Curve 5°
<br />.10°
<br />.15°
<br />20°
<br />.25° 30° 35°
<br />40°
<br />45° 50°
<br />55°,
<br />60°
<br />65°
<br />70°
<br />1000
<br />T=.43
<br />.86
<br />1.30
<br />1.74
<br />2.18 2,62 3.06
<br />3.50
<br />3,95 4.40
<br />4.88
<br />5,37
<br />5.85
<br />6.34
<br />E=.200
<br />.401
<br />.604
<br />:809
<br />1.01 1.22 1.43
<br />1.64
<br />'1.85' 2.06
<br />2.28
<br />2,50
<br />2.73
<br />2.96
<br />105°'
<br />T=.46
<br />:94
<br />1.42
<br />1.00
<br />2.38 2.87 3.34
<br />3.84
<br />4.35 4.84
<br />5.35
<br />5.87
<br />6.40
<br />6.93
<br />E =.230
<br />.470
<br />.700
<br />'.938
<br />1.17 1.42 1.65
<br />1.90
<br />2.14 2.39
<br />2.64
<br />2.90
<br />3.16
<br />3.41
<br />110°
<br />T=.60
<br />1.03
<br />1.55
<br />2.08
<br />2.60 3,14 3.66'
<br />4.21
<br />4,76 5.31
<br />5.86
<br />6.43
<br />7.01
<br />7.59
<br />E=.260
<br />.535
<br />-.808
<br />1.08
<br />1.36 1,63 1.91
<br />2.19
<br />2.49 2.61
<br />3.05
<br />3.35
<br />3.65
<br />3.95
<br />115°
<br />T=.54
<br />1.13
<br />1,70
<br />2.29
<br />2.86 3.45- 4.03
<br />4.63
<br />5.23 5.83-
<br />6.44
<br />7.07
<br />7.7F4.58
<br />E=.307
<br />.624
<br />'.939
<br />1.28
<br />1.57 1.89 2.21
<br />2.54
<br />2.87 3.20
<br />3.53
<br />3.88
<br />4.2120°
<br />' T=.61
<br />1.25
<br />1,89
<br />2.52 ,
<br />3.16 3.81 4.44
<br />5.11
<br />5,75 6.44
<br />7.11'
<br />7.80
<br />8.5E=.339
<br />.720
<br />1.08
<br />1.45.
<br />1.82 2.20 2.'62.95
<br />3.33 3.72
<br />4.10
<br />4.50
<br />4.9
<br />
|