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VI TA13LE'1. - Tangents and Externals to a 1° Curve. <br />C11ord=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 />g <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 />5265.0 <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />20 <br />528 1. 0 <br />2062.5 <br />20 <br />5967.9 <br />2513.5 <br />20 <br />6748.2 <br />3122.9 <br />30 <br />5296.4 <br />2073.0 <br />30 <br />5985.3 <br />'2:156.0 <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 />SO <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 />2600.8 <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 />2032.6 <br />30 <br />C889.2 <br />3230.5 <br />40 <br />5 405. 6 <br />2147.5 <br />40 <br />G108.6 <br />2045.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />53 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2109.2 <br />94 <br />6144.3 <br />2671.G <br />101 - <br />G950.6 <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 />5169.0 <br />2101.1 <br />20 <br />6180.2 <br />2697.0 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />6108.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6210.4 <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 />4054.5 <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 />7096.61 <br />3391.2 <br />20 <br />5565.4 <br />2258.0 <br />20 <br />G2S9.4 <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 />279.030 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />G32G.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 1 <br />6363.4 <br />2633.2 <br />103 <br />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 />5303.4 <br />232G.G <br />20' <br />Gt6G.8 <br />2561.0 <br />20 <br />7240.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.5 <br />2575.0 <br />30 <br />7268.0 <br />3325.2 <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 />3591.2 <br />20 <br />5703.1 <br />2397.0 <br />6514'.3 <br />2945.9 <br />- 20 <br />7377.8 <br />3611.7 <br />30 <br />'5779.9 <br />2408.9 <br />,20 <br />30 <br />0533.4 <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 />3046.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.0 <br />3664.5 <br />91 '. <br />5830.5 <br />2444.9 <br />98 <br />0591.2 <br />3003.8 <br />IOS <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 />5581.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.0 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5598.8 <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 1 <br />2500.1 <br />:;0 <br />G68S.8 <br />3077.7 <br />50 <br />75SO.5 1 <br />3772.6 <br />Corrections to be Added (T = Tangent. E. = External.) <br />Int. <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angle Curve 5° <br />.10° 15°1 <br />20° '25° <br />-30' <br />35° 40° 45° <br />50° 55° 60° 65° .7D° <br />S5o T=.33 <br />66 1.00 <br />1.33 ' 1.68 . <br />2.02 <br />2.36 2.70 3.05 <br />3.40 3.77 4.14 4.55 4.89 <br />E =:128 <br />.259 .391 <br />.524 .657 <br />.790 <br />.926 1.06 1.20 <br />1.34 1.47 1.62 1.76 1.91 <br />goo T=.36 <br />72 1.09 <br />11.45 1.83 <br />2.20 <br />2.57 2.94 3.32 <br />3.70 4.10 4.50 4.91 5.32 <br />E =.149 <br />.299 ..450 <br />.603 .758 <br />.910 <br />1.07 1.22 1.38 <br />1.54 1.70 1.87 2.03 2.20 <br />950 T =.39 <br />.79 1.19 ' <br />1.55 2.00 <br />2.40 <br />2.80 3.20 13.61 <br />4.02 4.49 4.93 5.38 5.83 <br />E-'.174 <br />'.350 .522 <br />'.706 '.985 <br />1.06' <br />1.25 1.43 1.62 <br />1.80 1.90 2.13 2.38 2.58 <br />jDo' T=.43 <br />.86 1.30 <br />1.74 2:16 <br />2.62 <br />3.00 3.60 3.951 <br />4.4D 4.88 5.37 5.85 6.34 <br />E=.200 <br />.401 .604 <br />.809 1.01, <br />1.22. <br />1.43 1.64 1.85 <br />2.06 2.28 2.50. 2.73 2.96 <br />105°T=.46 <br />.94 1.42 <br />1.90 2.38 <br />2.87 <br />3.34 3.84 <br />,4.84 5.35 5.87 6.40 6.93 <br />E=.230 <br />' .470 .700 <br />.938 1.17 <br />1.42 <br />14.35 <br />1.65 1.60 2.11 <br />2.39 9.64 2.90 3.16 13.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. Vn <br />Chord=100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angle Tangent <br />65° 70° <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <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 />7672.0 <br />3846.5 <br />30' <br />8415.1 <br />4450.9 <br />30 <br />9259.0 <br />-5158.8 <br />40 <br />7696.8 <br />3866.2 <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 />0349.9 <br />6236.2 <br />10 <br />7766.8 <br />3921.9 <br />10 <br />8521.3 <br />4538.8 <br />10 <br />0380.5 <br />5262.3 <br />20 <br />7700.5 <br />3940.9 <br />20 <br />8548.1 <br />4561.1 <br />20 <br />0411.3 <br />5288.6 <br />30 <br />7814.3 <br />3960.1 <br />30 <br />S575.0, <br />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7838.1 <br />3979.4 <br />40 <br />5602.1 <br />4606.0 <br />40 <br />9473.2' <br />5341.5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />6629.3 <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 />40 <br />7983.5 <br />4097.1 <br />40 <br />8767.0 <br />4743.0 <br />40 <br />9662.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />8794.0 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />5032.7 <br />4137.1 <br />114 <br />8822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />6057.4 <br />4157.3 <br />10 <br />8851.0 <br />4814.1 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />80S2.3 <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 />9390.8 <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 />0022.7 <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 />498311 <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 />5846.6 <br />50 <br />8310.8 <br />4304.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10003.0' <br />5876.1' <br />Corrections to be Added (T =Tangent. E =External.) <br />Int <br />Angle <br />Curve 5° <br />10° 15° <br />20° <br />25° <br />'30° 35° 40° 45° <br />50° 55° 60° <br />65° 70° <br />T=.43 <br />1.30 <br />1.74 <br />2.18 <br />2.62 13.06 13.50 3.95 <br />4.40 4.88 5.37 <br />5.85 .6.34 <br />100° <br />E-.200 <br />.86 <br />401 .604 <br />.809 <br />1.01 <br />1.22 1.43 1.64 1.85 <br />2.00 2.28 2.50 <br />2.73 2.96 <br />1.4200 <br />40 <br />1.93908 <br />105° <br />E=.230 <br />:q0 <br />1.17 <br />1.42 1.65 1.90 2.14 <br />2.39 2.64 2.90 <br />3.16 3.41 <br />110° <br />T=.50 <br />1.03 1.55 <br />2.08 <br />2.603.14 <br />3.68 4.21 4.78 <br />5.31 5.86 6.43 <br />7.01 7.59 <br />E=.260 <br />.535 .808 <br />1.08 <br />1.38 <br />1.83 1.91 2.19 2.49 <br />2.61 3.05 3.35 <br />3.65 3.95 <br />1.13 1.70 <br />2.29 <br />2.86 <br />3.45 4.03 4.63 5.23 <br />5.83 6.44 7.07 <br />7.70 8.35 <br />UPT=.54 <br />E=.307 <br />.624 .939 <br />1.20 <br />1.57 <br />1.89 2.21 2.54 2.87 <br />3.20 3.53 3.88 <br />4.23 4.58 <br />T=.61 <br />11.25 1.89 <br />12.52 <br />3.16 <br />3.81 4.44 5.11 5.78 <br />8.44 7.11 7.80 <br />8.51 0.21 <br />120° <br />r,-.339 <br />.720 1.09 <br />1.45 <br />1.82 <br />2.20 2.16 2.95 3.33 <br />3.72 4.10. 4.50 <br />4.91 5.89 <br />