|
VI TABLE -L-- Tang6nts and Externals to'a 1° Curve
<br />Chord =100 f L_
<br />int, a
<br />Anglo
<br />Tangent
<br />External
<br />Intl
<br />Angle
<br />Tangent
<br />External
<br />Int•
<br />Angle
<br />Tangent
<br />Lxternal
<br />85°
<br />5250.3
<br />2011.7
<br />92°
<br />5933.2
<br />2518.5
<br />096 -
<br />6708.6
<br />3U92.7
<br />10'
<br />5265.6
<br />2052.1
<br />10'
<br />5950.5
<br />2531.0
<br />10'
<br />0728.4
<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 />5?90.'4,
<br />2073.0
<br />30
<br />5985.3
<br />2550.0
<br />30
<br />.6768A
<br />3138.1
<br />' 40
<br />5311.0
<br />2083.5
<br />40
<br />6002.7
<br />2558.0
<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 />0808.2
<br />3108.7
<br />86
<br />5343.0
<br />210-1'7
<br />93
<br />6637.8
<br />2594:0
<br />109-0828.3
<br />9349.9
<br />3184.1
<br />10
<br />5358.6
<br />211.5,3
<br />10
<br />'6055.4
<br />2506.8
<br />10
<br />G848.5
<br />3199.E
<br />20
<br />537-1.2
<br />212G.0
<br />.20
<br />GU73.1
<br />2519.7
<br />20
<br />6868.8
<br />3215.1
<br />30
<br />5389.0
<br />2130.7
<br />30
<br />6090.8
<br />2032.6
<br />30
<br />G889.2
<br />3230.8
<br />40
<br />5105.6
<br />2147.5.
<br />40
<br />G108.,6
<br />2645.5
<br />40
<br />0909.0
<br />3'346,5
<br />50
<br />6421.4
<br />2158.4
<br />_
<br />50
<br />G126:4
<br />2658.5
<br />- 50
<br />U930.1
<br />3262.3
<br />87
<br />5437.2
<br />2169.2
<br />84 -
<br />6144.3
<br />2671.G
<br />101
<br />6950,0
<br />3273.1
<br />10
<br />5453.1:
<br />2180.2.
<br />10
<br />G1G2:6
<br />2684.7
<br />•10
<br />0971.3'
<br />`3294.1
<br />20
<br />5169.0
<br />2191.1
<br />2J
<br />6180,2
<br />2697.9
<br />20
<br />G992.0
<br />3310.1
<br />30
<br />5184.9
<br />2202.2;
<br />30
<br />6193.3
<br />2711.2
<br />-30
<br />7012.7
<br />3326.1
<br />`40
<br />5500.0
<br />2213.2
<br />_
<br />40
<br />0216.4
<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 />7054:6
<br />3358.5
<br />88
<br />5533.1.
<br />2235?5
<br />es
<br />62;52.8
<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 />2702.0
<br />30
<br />'7139.0
<br />3424.3
<br />40
<br />5597.8
<br />2280.6
<br />40
<br />. 632G.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 />`71S1.7
<br />3457.6
<br />89
<br />5630.5
<br />2303.5
<br />96
<br />6363:4
<br />2833'.2
<br />103
<br />7203.2
<br />347.1.4
<br />10
<br />6646.9
<br />2315.0
<br />10
<br />6382.1
<br />2847.0
<br />' 10
<br />7224.7
<br />3491.3
<br />20
<br />6563,3'
<br />2325.6
<br />20
<br />6100,8
<br />2361.0
<br />20
<br />"7246.3
<br />3503.2
<br />30
<br />"5879.9
<br />2338.2
<br />",30
<br />4G4M 5
<br />2875.0
<br />30
<br />7263:0
<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 />3512.4
<br />60
<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 />(1176.2
<br />2917,3
<br />104 -
<br />7333.6
<br />3576.8
<br />10
<br />5746:3
<br />2385:1
<br />10
<br />(1495.2
<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 />5770.9
<br />2408.9
<br />30
<br />6:733.4
<br />2960.3
<br />30
<br />` 7399.9
<br />3G20.2
<br />40
<br />5706.7
<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 />657iA
<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 />6510.6,
<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 />'GG49.6
<br />3047.9
<br />30
<br />7531.9
<br />3136.2
<br />40
<br />5898.8
<br />2493
<br />40
<br />G669.2
<br />3062.8.
<br />40
<br />7557'
<br />3754.4
<br />50
<br />591,6,0
<br />.8,
<br />250G,1
<br />50
<br />668S.8
<br />3077.7
<br />50
<br />7580.1
<br />3772,6
<br />Corrections to be Added (T =Tangent. U.' External.)
<br />Ino. Curve 5° 101 15° 201 25° 39°35° • 40° . 45°
<br />Angle
<br />50° '551
<br />60° 65° 70°
<br />T= .33. :66 1.00 1.33 1.68 2.D2 ' 2.36 2.70 3.05.
<br />3.401 3.77
<br />4.14 4.55 4.89
<br />=.128 .391 824 ,790 ,920 1.06 1-1.201
<br />1.34 1.47
<br />1:62 l.ifi F.91
<br />.259 ,657
<br />T =.36 1,09 1.45 1.83F 2.20. 2.57 2.94 3'.3''
<br />3.70 4.10
<br />4.50 4.91 5.32
<br />90° .72
<br />E=:149 .450 .756 .910 1.07 1.22 1.38.
<br />1.54 1.70
<br />1.87 2.03 9.�
<br />.299 ...603
<br />T=39 .79 1.19 1.55 2.00 12.40-12. SO ' 3.20 13.61
<br />4,02' 4.49
<br />C98 5.38 2.93
<br />95° .706 1.06 1.25'• 1.43 1.62
<br />1:=,174
<br />1,80 .1:99
<br />2.I8 2.36
<br />.350 ,522 .985
<br />4.40 A.88
<br />5.37 5.85 6.34
<br />1�, T ='.43' ,86 1.30 1.14 2.18 2.82 3.06 3:50- 3.95
<br />E =.200 D1 :604 1.01 1.22 1.43 1.64 '1,85
<br />2.00 2.28'
<br />2.50 2,73 2=.96
<br />.4 .809
<br />1 T =.46 .94 1.42 1.90 2:38 2.87 3.34. 3.84 4.35
<br />'4.84 5.35
<br />5.87 6.40 03305°
<br />3.16 I3`..
<br />E-.2 0 .470 .700 .938 1.17 1.42 1.65 1.90 2.1#
<br />.2.39 2.64
<br />2.90'
<br />`FABLE I. -Tangents and Externals to a 1° Curve.
<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 />I Tangent
<br />External
<br />100°'
<br />7603.5°
<br />379110
<br />111°
<br />8336.7
<br />4386.1
<br />116°
<br />91.69.4
<br />.5082.7
<br />]0'
<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 />8865.2
<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 />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
<br />9380.5
<br />5262.3
<br />20
<br />7790:.5
<br />3940.9
<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,'3979.4
<br />40
<br />8602.1
<br />4806.0
<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 />9804.4
<br />5368.2
<br />108
<br />7886.2
<br />4018.2
<br />113
<br />8656.G
<br />4651.3
<br />118
<br />9535.7
<br />5395.1
<br />10
<br />7910.4
<br />4037.8
<br />IO
<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 />4597.2
<br />.20
<br />0598.0
<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 />40
<br />7983.5
<br />4097.1
<br />40
<br />87G7.0
<br />4743.6
<br />40
<br />'966216
<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.
<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 />126.
<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 />0051.7
<br />498321,
<br />20 "
<br />9991:0
<br />5787.7
<br />30
<br />859.3
<br />.4322.4
<br />30
<br />9080.9
<br />5007.8
<br />307.
<br />10025:0
<br />5817.0
<br />'40
<br />8285.0
<br />4343.6.
<br />40.
<br />0110.3
<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,G
<br />50
<br />10093.0
<br />5870.1
<br />Corrections to be Added (T=Tangent. E=External.)
<br />•lot.
<br />Aegle
<br />Curve 5°
<br />10°
<br />15° 20°
<br />25° 30°
<br />35` 40° 45° 50° - 55° 60°
<br />65° 70°
<br />100°
<br />T=.43
<br />.86
<br />1.30 1.74
<br />2.18 2.G2
<br />3.06 3.50 3.95 4.40 4.88 5.37
<br />5.85 .8,34
<br />8-.200
<br />.401
<br />.604 ,809
<br />1.01 1.22
<br />1.43 1.64 1.85 2.06 2.28 2.50
<br />2.73 2.96
<br />105°
<br />T=.48
<br />94
<br />1.42 1.90
<br />2.38 237
<br />3.34 3.84 4.35 4.84 5.38 5.87
<br />6,40 0.93
<br />E=,23D
<br />.470
<br />.700 .938
<br />1.17 1,42
<br />1.65 1.90 2.14 2.39 2.64 2.90
<br />3.10 8.41
<br />110'
<br />T=.50
<br />1.03
<br />1.55 2.08
<br />2.60 3.14
<br />3.68 4.21 4.76 5.31 5.86 0.43
<br />7.01 7 za
<br />E-.260
<br />.535
<br />.808 1.08
<br />1:36 1,63
<br />1.91 2.19 2.49 2.61 3.05 3.35
<br />3.65 8.95
<br />115°
<br />T=.54
<br />L,i3
<br />1.70 2.29
<br />112,861 3.45
<br />4.03 4.83 6.23 5,83 8,44 7.07
<br />7.70 8.35
<br />E =.307
<br />.824 .9391 28
<br />1.57 1.89
<br />2.21 2.54 2.87 3.20 3.53 3,88'
<br />4.23 4.58
<br />120°
<br />T=.BI
<br />1.25 '1.89
<br />2.62
<br />3.16 '3,81
<br />4.44 6.11 5.78. 6.44 7.11 7.80
<br />8.51 9.21
<br />E =.339
<br />79.1 1.08 1.45
<br />1.82 2.20
<br />2.L0 2.05 3.23 3.72 4.10 4.59
<br />4.91 5.82
<br />
|