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Vi TABLE I. - Tangents and Externals to a 1' Curve. <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />Lxternal <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />85° . <br />5236.3. <br />2011.7 <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 />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />20 <br />5281.0 <br />2062.5 <br />2U <br />5967.9 <br />2543.5 <br />20 <br />6748-2 <br />3122.0 <br />30 <br />5290.4 <br />2073.0 <br />30• <br />5985.3 <br />2556.0 <br />30 <br />6768.A <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 />2504.0 <br />100 <br />0828.3 <br />3184.1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />6055.4 <br />2600.8 <br />10 <br />0848.5 <br />3199.0 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />0073.1 <br />2619.7 <br />20 <br />0868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />0090.8 <br />2032.6 <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 />2156.4 <br />53 <br />6126.4 <br />2658.5- <br />SU <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 />6IG2.G <br />2684.7 <br />10 <br />6971.3 <br />3204.1 <br />20 <br />5t69.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />G193.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />40 <br />5500.9 <br />221 3. 2 <br />40 <br />G21G.4 <br />2724.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0 <br />2224.3 <br />50 <br />6234.G <br />2737.9 <br />50 <br />7054.5 <br />3358.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />0252,8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />_ 10 <br />5549.2 <br />2246.7 <br />10 <br />0271.1 <br />2704.8 <br />10 <br />7090.6 <br />3391.2 <br />20 <br />5565.4 <br />225S.0 <br />20 <br />6289.4 <br />2778.3 <br />20 <br />'7117.8 <br />34U7.7 <br />30 <br />5581.6 <br />2260.3 <br />30 <br />6307.9 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />'40 <br />5597.6 <br />2280.6 <br />40 <br />0320.3 <br />280.5.0 <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 />5U <br />7181.7 <br />3457.6 <br />89, <br />5630.5 <br />2303.5 <br />90 <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 />G382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5063.4 <br />2326.0 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7240.3 <br />3.;03.2 <br />30 <br />5679.9 <br />2338.2 <br />.30 <br />G419.5 <br />2875.0 <br />30 <br />7268.0 <br />3325.2 <br />40 <br />'5696.4 <br />2349.8 <br />40 <br />6438.4 <br />2880.0 <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 />90 <br />5729.7 <br />2373.3 <br />97 <br />6.170.2 <br />2917.3 <br />101 <br />7333.0 <br />3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />G495.2 <br />2931.6p <br />10 <br />7355:G <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />G514.3 <br />2945.4 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5770.9 <br />2409.0 <br />30 <br />0533.4 <br />2960.3 <br />30 <br />7399.9 <br />3029.2 <br />40 <br />5796.7 <br />2420.0 <br />40 <br />G552.6 <br />2974.7 <br />40 <br />7422.2 <br />3046.9 <br />50 <br />5813'.0 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3664.5 <br />91 <br />5530.5 <br />2444.9 <br />-98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3682.3 <br />30 <br />5847.5 <br />2457.1 <br />10 <br />6810.6 <br />3018.4 <br />10 <br />7489.E <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 />58S1.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7334.9 <br />373G.2 <br />40 <br />5898:8 <br />2493.8 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7357.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />6088.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T = Tangent. E. = External.) <br />Int. Curve 5° 30° 15° 20° 25° 30° 35° <br />Angle <br />4D° 45° 50° <br />55° <br />60° <br />65° .70° <br />85° T=.33 60 1.00 1:33 1..68 2.02 2.36 <br />2.70 3.05 3.40 <br />3.77 <br />4.14 <br />4.55 4.89 <br />E =.128 .259 .391 .524 .657 .790 .926 <br />1.00 1.20 1.34 <br />1.47 <br />1.62 <br />1.76 1.91 <br />90' T-.35 72 1.09 1.45 1.83 2.20 2.57 <br />2.94 3.32 3.50 <br />4.1D <br />4.50 <br />4.91 5.32 <br />E =.149 .299 .450 .603 .750 .910 1.07 <br />1.22 .1.38 1.54 <br />1.70 <br />1.87 <br />2.03 2.20 <br />93° T=,39 79 1.14 11.55. 2.00 2.40 2.80 <br />3.20 13.61 4.02 <br />4.49 <br />4.98 <br />5.38 5.83 <br />I =.174 .350 .522 .706 .985 1.05 1.25 <br />1.93 1.62 1.60 <br />1.99 <br />2.18 <br />2.38 2.56 <br />100" =.43 .80 1.30 1.74 2.18 2.62 3.06 <br />3.50 3.95 4,40 <br />4.88 <br />6.37 <br />5.85 0.34 <br />1 <br />=.200 .401 .603' .809 1.01 1.22 1.43 <br />MA '1.85 2.06 <br />12.23 <br />12.50 <br />2.78 2.96 <br />105° T=.46 .94 1A2 1.00 2.39 2.87 3.34 <br />3.84 4.35 4.84 <br />5.35 <br />5.87 <br />GAO 6.93 <br />E =.2cD .970 .500 .938 1.17 1.42 1.65 <br />1 XD 2.14 2.39 <br />2.63 <br />2.00 <br />3.16 3.41 <br />TABLE I. - Tangents and Externals to al' Curve. VII <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Tnl <br />Angle <br />Tangent <br />External <br />Angle <br />xLgl <br />Tangent <br />External <br />100° <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 />7620.6 <br />3809.4 <br />lo' <br />8362.7 <br />4407.6 <br />10' <br />9199.1 <br />5107.9 <br />20 <br />7049.7 <br />3827.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />7072.9 <br />3840.5 <br />30 <br />8415"1 <br />4450.9 <br />30 <br />9259.0 <br />5158.8 <br />40 <br />7696.8 <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 />107 <br />7743.2 <br />3902.9 <br />"112 <br />8494.6 <br />4516.6 <br />,117 <br />0349.9 <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 />7938.1 <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 />5G <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 />7950.0 <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 />9662.6 <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 />6587.4 <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 />4909.0 <br />50 <br />9990.8 <br />5700.9 <br />110 <br />S182.8 <br />4259.7 <br />116_ <br />8993.8 <br />4934.1 <br />1M <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 />9060.9 <br />5007.6 <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 />5840.5 <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 />"In G <br />Angle <br />Curve 5° <br />10, <br />15° <br />20° <br />25° <br />30° <br />3S° 40° <br />45° <br />50° <br />55° <br />6D° <br />1 65' 70° <br />100, <br />T=.43 <br />.86 <br />1.30 <br />1.74 <br />2.18 <br />2.C2 <br />3.D0 3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5"86 6.34 <br />13=.200 <br />.402 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 1.64 <br />1.35 <br />2.00 <br />2.28 <br />2.50 <br />2.73 2.96 <br />T=.46 <br />1.42 <br />1.90 <br />2.38 <br />2.67 <br />3.34 3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 0.93 <br />205, <br />E-.230 <br />.04 <br />.470 <br />.700 <br />.038 <br />1.17 <br />1.42 <br />1.55 1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />8.16 3.41 <br />1100 <br />T=-50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.60 4.21 <br />4.76 <br />6.31 <br />5.86 <br />6.43 <br />7.01 7.50 <br />E=.260 <br />.535 <br />AD8 <br />1.08 <br />1.36 <br />1.63 <br />1.91 2.19 <br />2.49 <br />2.61 <br />3.06 <br />3.35 <br />3.65 3.95 <br />115° <br />T=.54 <br />1.13 <br />2.70 <br />2.29 <br />2.86 <br />3.9b <br />4.03 4.63 <br />5.23 <br />5.83 <br />0.49 <br />7.07 <br />7.70 8.35 <br />E=.307 <br />.824 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.8? <br />3.20 <br />3.b3 <br />3.88 <br />4.23 4.68 <br />@U' <br />T=.51 <br />1.25 <br />189 <br />2.52 <br />3.16 <br />3.81 <br />4.44 5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.b1 9.21 <br />L .339 <br />.720 <br />LCB <br />1.48 <br />L.82 <br />2.20 <br />2 56 2.05 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 6.82 <br />