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VI TABLE I: - Tangents and Externals to a 1° Curve. <br />C,hnrrl-1(10 ff <br />Int. <br />Ang1'e' <br />Tangent <br />ns <br />External <br />Angle <br />I Tangent <br />I External <br />Angle <br />Tangent <br />External <br />8¢° <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />2518.5 <br />09° <br />-0708.0' <br />3092.7 <br />10' <br />52 65.6 <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 />5967.0 <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 />0768:1 <br />3138.1 <br />40 <br />5311.9 <br />2033.5 <br />40 <br />6002.7 <br />2568.6 <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 />6303.2 <br />3165.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />6828.3 <br />31S4.1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />G055.4 <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 />GS89.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />0108.6 <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 />2160.2 <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 />29 <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 />332G.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6216.4 <br />2724.5 <br />40 <br />7033.6 <br />33%12.3 <br />50 <br />5517:0 <br />2224.3 <br />50 <br />62234.6 <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 />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.G <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 />6326.3 <br />280.5.6 <br />40 <br />71Go. 3 <br />3440.9 <br />50. <br />5614.2 <br />2292.0 <br />50 <br />G344.8 <br />2819.4 <br />50 <br />7181:7 <br />33457.6 <br />895630.5 <br />8182.8 <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 />2315.0 <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 />2801.0 <br />20 <br />7240.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.6 <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.G <br />3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6495.2 <br />2931.6 <br />10 <br />7355.G <br />3694.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />24.08.9 <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 />3046.8 <br />50, <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2959.2 <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 />3082.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7489.6 <br />37W.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 />.5598.8 <br />2498,8 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />b0 <br />5916.0 <br />2506.1 <br />50 <br />6688.E <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T = Tangent. E. = External.) <br />Angle Curve 51 1D° <br />15° 120° 25° 30°F <br />External <br />40° <br />45° 50° 55° <br />60° 65° 70° <br />85° T=.33 .06 <br />1'00 1.33 1.68 2.02 <br />External' <br />2.70 <br />3.05 3.40 3.77 <br />4.14 4.55 4.80 <br />1;.128 .259 <br />.391 .524 .657 .790 <br />2.18 <br />1.06 <br />1.20 1.34 1.47 <br />1.62 1.76 1.91 <br />90° ^1 =.36 .72 <br />1.09 1.45 1.83 2.20 <br />2.57 <br />2.94 <br />3.32 3.70 4.10 <br />4.50 4.01 5.32 <br />E-.149 .299 <br />.450 .663 .756 .910 <br />1.07 <br />1.22 <br />1.38 11.54 1.70 <br />1.87 1 2.03 2.20 <br />95° T=.3D. .70 <br />1.19 1.55 2.00 2.40 <br />2.S0 <br />3.20 <br />3.61 4.02 4.49 <br />4.98 5.38 5.83 <br />]]-.174 .350 <br />.522 ,706 .98511.06 <br />1.25 <br />1.43 <br />1.62 1.80 1.99 <br />2.18 12.38 2.58 <br />100° T=.93 .86 <br />L30 1.74 2.18 2.62 <br />11.43 <br />3.06 <br />3.50 <br />3.95 4.40 4.88 <br />5.37 5.85 6.34 <br />T =.200 .40'1 <br />.604 .S09 1.01 1.22 <br />4472.7 <br />Ul <br />1.85 2.00 2.28 <br />2.50 2.73 12.96 <br />105° T=•46 �4 <br />=.230 <br />1.42 1.90 12.31S 2.87 <br />11.65 <br />3.34 <br />3.84 <br />4.35 4.84 5.35 <br />5.87 0.40 6.93 <br />.470 <br />.700 ,930 1.17 1.42 <br />5210.3 <br />1.90 <br />2.14 2.39 2.04 <br />2.90 3.16 3.41 <br />i <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 />g <br />External <br />Int. <br />Angle . <br />Tangent <br />External' <br />106° - <br />.7603.5 <br />3791.0 <br />111° <br />8336.7 14386.1 <br />2.18 <br />.116° <br />9169.4 <br />:5032.7 <br />10' <br />7626.6. <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />1D' <br />9199.1 <br />5107.9 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />8388.9 <br />4,129.2 <br />2D <br />9229.0. <br />5133.3 <br />30 <br />7672.9 <br />3816.5 <br />30 <br />8415.1 <br />4450.9 <br />3D <br />9259.0 <br />5158.8 <br />40 <br />7690.3, <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 />3854.0 <br />50 <br />8465.0 <br />4404.6 <br />50 <br />9319.5 <br />5210.3 <br />107 <br />7743.2 <br />3902.0 <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 />15 <br />9380.5 <br />5262.3 <br />20 <br />7790.5 <br />3940.9 <br />20 <br />854S.1 <br />4561.1 <br />2D <br />9411.3 <br />5288.6 <br />30 <br />7814.3 <br />3960.1 <br />30 <br />8575.0 <br />4533.4 <br />3D <br />94.12.2 <br />5315.0 <br />40 <br />7538.1 <br />3979.4. <br />40 <br />5602.1 <br />4606.0 <br />40 <br />0473.2 <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 />5363.2 <br />108 <br />7886.2 <br />4018.2 <br />'113 <br />86561.6 <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 />1D <br />9567.2 <br />5-122.1 <br />20 <br />7934.6 <br />4057.4 <br />'20 <br />8711.5 <br />4697.2 <br />2D <br />9598.9 <br />5449.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />8739.2 <br />4720.3 <br />3D <br />9630.7 <br />5x476..5 <br />40 <br />7983.5 <br />4097.1 <br />40 <br />87617.0 <br />4743.6 <br />40 <br />0662.6 <br />5504.0 <br />50 <br />$008.0 <br />4117.0 <br />50 <br />8794.9 <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 />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 />4337.8 <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 />0824.8 <br />5643.8 <br />40 <br />S132.3 <br />4218.4 <br />40 <br />8936.3 <br />4855.7 <br />40 <br />9857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />890.5.0 <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 />120 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />42S0.5 <br />-10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />8'233.7' <br />4301.4 <br />20 <br />9051.7 <br />4933.1 <br />20 <br />9991.Q <br />5787.7 <br />30 <br />8'259.3 <br />4322.4 <br />30 <br />9DS0.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.61 <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 />Curve 5° 10° 15° 20° <br />25° <br />30° <br />35° <br />401 <br />45° <br />50` <br />55° <br />60° <br />65° <br />70- <br />T=.43 1.30 1.74 <br />2.18 <br />2.G2 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />100. <br />100° <br />.85 <br />E=.200 .4D1 .604 .809 <br />1.OL <br />122 <br />1.43 <br />LG4 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />T=.46 1.42 1.90 <br />2.38 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.34 <br />5.25 <br />5.87 <br />6.40 <br />6.93 <br />105° <br />.94 <br />F.=.230 .4701 .700 .938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.&1 <br />2.90 <br />3.16 <br />3.41 <br />110° <br />T=.50 1.03 1.55 2.08 <br />2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.80 <br />6.43 <br />7.01 <br />7.59 <br />E=.260 .5&5 .808 1.08 <br />1.36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.01 <br />3.0;, <br />3.35 <br />3.65 <br />3AS <br />T=.54 1.13 1.70 2.29 <br />12.S6 <br />3.45 <br />4.03 <br />4.63 <br />5.?3 <br />5.83 <br />6.44 <br />7.07 <br />7.70 <br />8.35 <br />115• <br />E =.307 .624 .939 1.2E <br />1.57 <br />1.89 <br />2.21 <br />2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.58 <br />T=.61 1.25 1.89 °.52 <br />3.10 <br />3.81 <br />4.4.1 <br />5.11 <br />5.78 <br />G.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120° <br />E=.339 ' .720 1.08 1.45 <br />1.82 <br />2.20 <br />2.56 <br />2.95 <br />3.33 <br />3.i� <br />4.10 <br />4.50 <br />4.91 <br />5.34 <br />