|
TABLm L - Tangents and Externals to a. l° Curve.
<br />-Ch oral =100 ft:
<br />Angle
<br />Tangent
<br />External
<br />Angle .'
<br />Tangent
<br />External
<br />Angle
<br />Tangent
<br />External
<br />85°
<br />5250.3
<br />2041.7
<br />921,
<br />5933.2
<br />2518.5
<br />99°
<br />6708.6
<br />3092.7
<br />10'
<br />5265.6
<br />2052.1
<br />1('
<br />5950.5
<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 />'6803.2
<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 />2115.3
<br />10
<br />6055.4
<br />2606.8
<br />10
<br />6848.5
<br />3199.6
<br />20
<br />5374.2
<br />2126.0
<br />20
<br />6073.1
<br />2619.7
<br />20
<br />6868.8
<br />3215.1
<br />30
<br />5389.9
<br />2136.7
<br />30
<br />6090.8
<br />2632.6
<br />30
<br />6889.2
<br />3230.8
<br />40
<br />5405.6
<br />2147.5
<br />40
<br />6108.6
<br />2645.5
<br />40
<br />6909.6
<br />3246:5
<br />'50
<br />5421.4
<br />2158.4
<br />50
<br />6126.4
<br />2658.5
<br />50
<br />6930.1
<br />3262,3
<br />;87
<br />-5437.2
<br />2169.2
<br />94
<br />6144.3
<br />2671.6
<br />101
<br />6950.6
<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 />6216.4
<br />2724,5
<br />40
<br />7033.6
<br />3342.3
<br />. 50
<br />5517.0
<br />2224.3
<br />50
<br />6234.6
<br />2737,9
<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 />5505.4
<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 />5597.8
<br />2280.6
<br />40
<br />6323.3
<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 />69 -
<br />•5630.5
<br />2303.5
<br />96
<br />6363.4
<br />2833.2
<br />103•.,
<br />7203.2
<br />3474.4
<br />10
<br />5646.9
<br />2315.,)
<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 />6400.8
<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 />2361.5
<br />50
<br />6457,3
<br />2903.1
<br />= 50
<br />7311.7
<br />3559.6
<br />90
<br />5729.7
<br />2373.3
<br />97.
<br />6476.2
<br />2917.3
<br />104
<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 />7467.0
<br />3682.3
<br />10
<br />5847.5
<br />2457.1
<br />;10
<br />6610.6
<br />3018.4
<br />10
<br />7489.6
<br />3700.2
<br />20
<br />5864.6
<br />2469.3
<br />20
<br />6630.1
<br />3033.1
<br />20
<br />7512.2
<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 1
<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 />Angle Curve 5° 10° 15° 20° 1 25' 30° 35°
<br />'401 451 50°
<br />'S5° 160° 65° 70-
<br />85o T=.33 :66 1.00 1.33 1.68 2.02 2.36
<br />2:70 3.05' 3.40
<br />3.77 4.14 4.55 4.89
<br />E=.128 .259 .391 -:524 ,.657 ..790 .926
<br />1.06 1.20 1.34
<br />1.47 1.62 1.76 1.91
<br />90o T=.36 .72 1.09 1.45 1.83 2.20 12.57
<br />2.94 3.32 3.70
<br />4.10 4.50 4.01 5.32
<br />E =.149 .299 .450 .603 .756 .910 1.07
<br />1.22 1.38 1,54
<br />'1:70 .1.87 2.03 2.20
<br />9501 T=:39 ..79 1.19 1.55' 2.00 2.40 2.80
<br />3.20 3.61 4.02
<br />4.49' 4.98 5.38 5.83
<br />E=.174 .350 .522 .706 :985 1.06 1.25
<br />1.43 1.62 1.80
<br />1.99 2:18 2.38 2.58
<br />100°,* T=.43 .86 1.30 1.74 2.18 2:62 3.06
<br />3.50 3.95 4.40
<br />4.88 5.37 5.85 6.34
<br />E=.200 .401 '.604 :809 1.01 1'.22 1,43
<br />1.64 1.85 2.06
<br />2.28 2.50 2.73 2.96
<br />105. T=.46 .94 1.42 1.90 2.38 2.87 3.34
<br />E =.230 .470 :700 .93811:17 1.42 1.65
<br />3.84 4.35 4.84
<br />1.90 2.14 2.3'9
<br />5.35 5.87 6.40 6.93
<br />2.64 2.90 3.16 3.41
<br />TABLE I. - Tangents and Externals to a 1° Curve. VII
<br />'Chord=100 ft. '
<br />Int.
<br />Angle.
<br />Tangent
<br />External
<br />Int:
<br />Angle
<br />Tangent
<br />External
<br />Int.
<br />Angle
<br />Tangent
<br />External
<br />106°
<br />7603.5
<br />3791.0.
<br />111'-8336.7
<br />2.28 2.50
<br />4386.1
<br />116°'.
<br />9169.4
<br />5082.7
<br />101•
<br />7626.6
<br />3809.4
<br />• 10'
<br />8362.7
<br />4407.6
<br />101.
<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 />3346.5
<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 />9239:2
<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 />107
<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 />3921.9
<br />10 ,
<br />8521.3
<br />4538.8
<br />10 .'9380.5,
<br />5262.3
<br />7790.5
<br />3940.9
<br />20
<br />8548.1
<br />4561,1
<br />'20
<br />'9411.3 ':5288.6
<br />30
<br />7814.3
<br />3960.1
<br />30
<br />8575:0
<br />4583.4
<br />'30 ,'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 />.4674,2
<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
<br />4720.3
<br />:.:30'
<br />.9630.7
<br />.5476.5
<br />.
<br />40:
<br />'7983.5.
<br />4097.1
<br />40
<br />8767:0
<br />4743.6
<br />40 -',9662.6'i
<br />5504.0
<br />50
<br />8008.0
<br />4117.0
<br />50
<br />.8794.9
<br />.4766.9
<br />50
<br />9694.7
<br />5531.7
<br />109,
<br />8032.7
<br />4137.1
<br />114
<br />8822.9
<br />4790:4
<br />119
<br />9727:0'
<br />5559.4-.
<br />.10
<br />8057.4
<br />4157.3
<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
<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.'
<br />4861.7
<br />30
<br />9824:8
<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 />5760.9
<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 />5758.0
<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 />"9139.8
<br />5057.6
<br />_ • 50
<br />10093.0
<br />5876.1
<br />Corrections to be Added (T = Tangent. E = External.) ,
<br />Int.
<br />Angle Curve 5° 10° 15° 20° 25°
<br />30°, 35' 40° 45°
<br />-°
<br />50
<br />1 55° 60°
<br />1 65° 70°
<br />100° T=.43 .86 1.30 11.74 2,18
<br />2.62 3.06 3.50 3.95
<br />4.40
<br />4.88 5.37
<br />5.85 6.34
<br />E=.200 .401 .604 .809 1.01
<br />1.22 1.43 1.64 1.85
<br />2.06
<br />2.28 2.50
<br />2,73 2.96
<br />105° T=.46 .94.1.42 1.90 2.38
<br />2.87 3.34 3.84 4.35
<br />4.84
<br />5.35 5.87
<br />6.40 6.93
<br />E=.230 .470 .700 .938 1.17
<br />1.42 1.65 1.90 2.14
<br />2:39
<br />2.64 2.90
<br />3.16 3.41'
<br />1100 T=.50 1.03 1.55 2.08 2.60
<br />3.14 3.66 4.21 4.76
<br />5.31
<br />5.86 6.43
<br />7.01 7.59
<br />E =.260 .535 .808 1.08 1.36
<br />1.63 1.91 2.19 2.49
<br />2.61
<br />3.05 3.35
<br />3.65 3.95
<br />115° T=.54 1.13 1.70' 2,29. 2.86
<br />3.45 4.03 4.63 5.23
<br />5.83
<br />6.44 7.07
<br />7.70 8.35
<br />E=.307 .624 .939 1.26 1.57
<br />1.89 2.21 2.54 2.87
<br />3.20
<br />3.53 3:88
<br />4.23 4.58"
<br />120° T=.61 1.25 11.89 2.52 3.16
<br />3.81 4.44 5.11 5.78
<br />6.44
<br />7.11 7.80
<br />8.51 9.21'
<br />" ,- E =.339 .720 1.08 1.45 ,1.82
<br />2.20 2:56 2.95 3.33
<br />3.72
<br />4.10 4.50
<br />4.91 5.32,
<br />
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