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VI TABLE 1. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />1.00 1:33 1.88 2.02 <br />5254.3 <br />2041.7 <br />921 <br />5033.2 <br />2518.5 <br />99° <br />6708.6 <br />309.7 <br />.85° <br />10' <br />5265.6 <br />2052.1 <br />10' <br />59:10.5 <br />2:131.0 <br />10' <br />61728.4 <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 />3122.0 <br />30 <br />5206.4 <br />2073.0 <br />30 <br />5985.3 <br />2550.0 <br />30 <br />676S.1 <br />3133.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2:168.0 <br />40 <br />67SS.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />G020.2 <br />2581.3 <br />50 <br />GSOS.2 <br />3169.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />i <br />100 <br />G828.3 <br />3184.1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />6055.4 <br />2606.8 <br />10 <br />G848.5 <br />3199.6 <br />20 <br />5374.2 <br />2120.0 <br />20 <br />6073.1 <br />2619.7 <br />20 <br />6968.8 <br />3215.1 <br />30 <br />5359.0 <br />2130.7 <br />30 <br />6090.8 <br />2632.0 <br />30 <br />6539.2 <br />3230.5 <br />40 <br />5105.6 <br />2147.5 <br />40 <br />6108.6 <br />2645.5 <br />40 <br />6,909.6 <br />32:tri. 5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />G126.4 <br />2658.5 <br />50 <br />6930.1 <br />3^_62.3 <br />87 <br />5437.2 <br />2169.2 <br />94 <br />61.44.3 <br />2671.6 <br />101 <br />6950.6 <br />32278.1 <br />10 <br />5453.1 <br />2150,2 <br />10 <br />G1G2.G <br />2654.7, <br />10 <br />6971.3 <br />3204.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />G1SO.2 <br />2697.9 ' <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />G19S.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 />2721.5 <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 />3355.3 <br />88 <br />5533.1 <br />2235.5 <br />95 t <br />G252.8 <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 />2764.5 <br />10 <br />7096.6 <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 />5:131.6 <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.G <br />40 <br />63'20.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.0 <br />505614.2 <br />8157.5 <br />2292.0 <br />50 <br />6344.8 <br />2310.4 <br />50 <br />7131.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.:1, <br />96r <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <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 />5363.4 <br />2320.6 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7246.3 <br />3509.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />G419.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />569G.4 <br />2349.8 <br />.40 <br />643S.4 <br />2359.0 <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 />G476.2 <br />2917.3 <br />104 <br />7333.G <br />3576.8 <br />10 <br />5740.3 <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 />G514.3 <br />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.0 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.' <br />40 <br />5796.7 <br />2420.0 <br />40 <br />G552.6 <br />2974.7 <br />40 <br />7422.2 <br />3G46.S <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />'1989.2 <br />50 <br />7444.0 <br />3664.5 <br />91 <br />5830.5 <br />2444.0 <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 />3736.2 <br />30 <br />5SS1.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.0 <br />30 <br />7034.9 <br />40 <br />5593.8 <br />2493.8 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />3772.6 <br />50 <br />5916.0 <br />1 2506.1 <br />50 <br />1 6638.5 <br />1 3077.7 <br />50 <br />1 7550.5 <br />Corrections to be Added (T =Tangent. E. =External.) <br />Int. <br />Curve 5° <br />10° 15° 20° 25° 30° <br />35° 40° 45° <br />50° <br />55° <br />60° 65° 70 <br />Angle <br />T =.33 <br />1.00 1:33 1.88 2.02 <br />2.30 2.70 3.05 <br />3.40 <br />3.77 <br />4.14 14.55 14.8' <br />1.9 <br />85' <br />E =.128 <br />.68 <br />.259 .391 .524 .657 .7fl0 <br />.926 1.00 1.20 <br />1.34 <br />1.47 <br />1.62 1.76 <br />0 <br />40' <br />T=.35 <br />.72 1.09 1.45 1.83 2.20 <br />2.57 2.94 3.33 <br />3.70 <br />4.10 <br />4.50 14.01 <br />12.2 <br />9D° <br />I E =.140 <br />.299 .450 .603 .756 .910 <br />1.07 1.22 1.38 <br />1.54 <br />4.02 <br />1.70 1.87 2.03 <br />4.49 4.98 <br />95° <br />T =.39 <br />.79 1.19 1.55 2.00 2.40 <br />2.80 3.20 3.61 <br />1.43 1.1.62 <br />1.80 <br />1.99 <br />2.18 2.38 12.5 <br />4450.9 <br />E =.174 <br />. 350 .5221..706 .985 1.00 <br />3 1.30 1.74 2.1�22 <br />L25 <br />3.D8 3.50 3.95 <br />4.40 <br />4.88 <br />b.37 15.85 129 <br />190° <br />E =.2C0 <br />.401 .604 .809 1.01.43 <br />:1401'1160 <br />1.64 1.85 <br />2.08 <br />2.28 <br />2.50 2.73 9T=.48 <br />7719.7 <br />=.220 <br />.94 1.42 11..0 2.33.34 <br />.470 .700 .938 1.11.65 <br />3.844.35 4.84 <br />1.90 2.14 2.39 <br />5.35 <br />2.64 <br />5.878.400{n105°E <br />2.90 3.18 3i <br />TABLE I. - Tangents and Externals to a V Curve. VII <br />Chord= 100 ft. <br />Angle <br />Tangent <br />External <br />Ante <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />6082.7 <br />10' <br />7626.0 <br />3809.4 <br />40' <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 />60 <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 />5230.2 <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 />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 />7802.1 <br />3998.7 <br />50 <br />8629.3 <br />4625.6 <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 />7010.4 <br />4037.8 <br />10 <br />8684.0 <br />4674.2 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7034.6 <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 />4743.6 <br />40 <br />0662.6 <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 />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 />0759.4 <br />5587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.8 <br />20 <br />9702.0 <br />5615.5 <br />30 <br />8107.3 <br />4107.0 <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 />6672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9300.8 <br />6700.9. <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 />8250.3 <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.p <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />0139.8 <br />5057.G <br />50 <br />10093.0 <br />5576.1 <br />Corrections to be Added (T = Tangent. E = External.) <br />'Int. <br />Angle Curve 5° 10° 15° <br />20° <br />25° 30° <br />35° 40° 45° 50° 55° 60° <br />1 65° 1 70° <br />100° T=.43 .80 1.30 <br />1.74 <br />2.19 2.G2 <br />3.00 $.50 3.95 4.40 4.88 5.37 <br />5.86 .6.34 <br />E =.200 .401 .604 <br />.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° T=.46 .94 1.42 <br />1.90 <br />2.38 2.87 <br />3.34 3.84 4.35 4.84 6.35 5.87 <br />6.40 6.93 <br />E=.230 .470 .700 <br />.938 <br />1.17 1.42 <br />1.65 1.90 2.14 2.39 2.64 2.90 <br />3.16 8.41 <br />1100 T=.b0 1.03 1.55 <br />2.08 <br />2.60 3.14 <br />3.66 4.21 4.76 5.81 6.86 6.43 <br />7.01 7.69 <br />E =.260 .535 .808 <br />1.08 <br />1.36 1.63 <br />1.91 2.19 2.49 2.61 8.05 3.35 <br />3.65 3.95 <br />115° T=.54 1.13 1 .70 <br />2.29 <br />2.86 3.45 <br />4.03 4.83 5.23 5.83 6.44 7.07 <br />7.70 8.85 <br />E =.307 .624 .939 <br />128 <br />1.57 1.89 <br />2.21 2.54 2.87 3.20 3.53 8.88 <br />4.23 4.56 <br />120° T=.81 1.25 1.89 <br />2.52 <br />3.16 3.81 <br />4.44 6.11 6.78 6.44 7.11 7.80 <br />8.51 9.21 <br />E=.339 .1201.09 <br />1.45 <br />1.82 2.20 <br />2.1,0 2.95 3.33 3.12 4.10 4.50 <br />4.91 522 <br />