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Ism <br />VI <br />f <br />T"Li; I. = Tangents and Externals to -a V Curve. <br />Chord= 160 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />I Tangent <br />External <br />Int. <br />Angle <br />I Tangent <br />External <br />85°. <br />6250.3 <br />2041.7 <br />92° <br />5933.2 <br />2518.5 <br />99° <br />670S.G <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 />20 <br />6.967.9 <br />2543.5 <br />20 <br />6748.2 <br />3122.9 <br />30 <br />5296.4 <br />2073.0 <br />30 <br />5955.3 <br />2556.0 <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 />316S.7 <br />80' <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 />2006.8 <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 />6889.2 <br />3230.5 <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 />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2169.2 <br />94 <br />G144.3 <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 />20 <br />5469.0 <br />2191.1 <br />20 <br />G180.2 <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 />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6216.4 <br />272.1.5 <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 />3358.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />6252.8 <br />2751.3 <br />1.02 <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 />225S.0 <br />20 <br />6289.4 <br />2778.3 <br />20 <br />7,117.8 <br />3407.7 <br />30 <br />5581.6 <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 />2230.6 <br />40 <br />6326.3 <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 />7151.7 <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 />5646.9 <br />2315.0 <br />10 <br />G382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5G63.4 <br />.2326.6 <br />20 <br />6.100.8 <br />2SG1.0 <br />20 <br />7246.3 <br />3508.2 <br />30_ <br />5670.9 <br />2338.2 <br />30 <br />6419.5 <br />2575.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6438.4 <br />2859.0 <br />40 <br />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />2301.5 <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 />3.576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6495.2 <br />2931.6 <br />10 <br />7355.6 <br />3594.2 <br />20 <br />57G3.1 <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 />2408.9 <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 />364G.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.0 <br />2989.2 <br />50 <br />7444.6 <br />.3664.5 <br />91 <br />3530.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3682A <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 />5804.6 <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 />5898.8 <br />2493.8 <br />40 <br />6669.2 <br />3062.8 <br />40 . <br />7557.7• <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50' <br />6688.8 <br />.3077.7 <br />50 <br />7580.5 <br />3772.6 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord=100 ft. <br />Int. <br />Angle <br />Corrections to be Added (T =Tangent. E. = External.) <br />Lnt. <br />Angle <br />Curve 5° <br />10°. 15° 20° '25° 30° 35° 401 45° 50° 55° <br />60° 65° 70° <br />t 85° <br />T=.33 <br />.66 1.00 1.33 11.6812.02 2.38 2.70 3.05 3.40 3.77 <br />4.14 4.55 4.89 <br />7603.5 <br />E=.123 <br />.259 .391 .52.1 .657 -790 .926 1.06 1.20 1.34 1.47 <br />1.62 1.76 1.91 <br />90° <br />T=.36 <br />.72 1.09 1.45 1.83 2.20 2.57 2.94' 3.32 3.70 4.10 4.50 4.91 5.32 <br />5082.7 <br />E=.149 <br />.299 A50 .603 .756 .010 1.07 1.22 1.38 1.54 1.70 <br />1.87 2.03 1 2.20 <br />95° <br />T=.39 <br />.79 1.19 1.55 2.00 2.40 2.80 3.20 3.61 4.02. 4.49 4.98' 5.38 5.83 <br />10' <br />E= 174 <br />.350 .522 .706 .085 1.06 1.25 1.43 1.62 1.80' 1.99 <br />2.18 2.38 2.58 <br />100° <br />T=.43 <br />.86 1.30 1.74 2.15 2.62 3.06 3.50 3.95 9.58 <br />5.37 5.85 6.34 <br />4429.2 <br />E =.200 <br />.401 .604 .809I1.D1 1.22 643 1.64 1.85 2.28 <br />2.50 2.73 2.06 <br />105° <br />7672.9 <br />DO 287 3.34 13.84 14.35 �4.8 <br />700 1.938 <br />40 <br />8415.1 <br />E =.230 <br />.47011 12 <br />1.17 1.42 11.65 1.90 2.14 2.64 <br />2.90 3.16 3.41 <br />5158.8 <br />40 <br />• <br />4 <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 />External <br />Int <br />Angie <br />Tangent <br />. <br />Ezternal <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />438G.1 <br />116° <br />91G9.4 <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 />8385.9 <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 />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 />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 />4553.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />783S.1 <br />3979.4 <br />40 <br />8602.1 <br />4606.0 <br />40 <br />9473.2 <br />534 1. 5 <br />50 <br />7862.1 <br />3993.7 <br />50 <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 />SGS4.0 <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 />5419.2 <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 />9662.6 <br />5504.0 <br />50 <br />8003.0 <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 />SOS2.3 <br />4177.5- <br />20 <br />8579.3 <br />4837.8 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3 <br />4.197.9 <br />30 <br />8907.7 <br />4SG1.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4SS5.7 <br />40 <br />9857.7 <br />5672.3 <br />50 <br />5157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <br />5700.9 <br />J <br />' <br />110 <br />S182.S <br />4259.7 <br />115 <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />10 <br />5208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />5233.7 <br />4301.4 <br />20 <br />0051.7 <br />4983:1 <br />20 <br />9991,0 <br />6787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />9050.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />5285.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />r50 <br />8310.5 <br />4364.8 <br />50 <br />9139.8 <br />50.57.6 <br />50- <br />10093.0 <br />5870.1 <br />v, <br />Corrections to be Added (T = Tangent. E = External.) <br />Int <br />Curve 5° 1 10° 15° 1 20° <br />1 25° <br />30° <br />35° 40° <br />45° 50° <br />55° <br />60° <br />65° 70° <br />Angle <br />T =.43 1.30 1.74 <br />2.18 <br />2.12 <br />3.0111 .50 <br />1.1 4.40 <br />4.88 <br />5.37 <br />5.85 6.34 <br />100° <br />.86 <br />E =.200 .401 .GO1 .809 <br />1.01 <br />1.22 <br />1.43 1.64 <br />1.85 2.06 <br />2 �8 <br />3.50 <br />2.73 2.90 <br />1.42 <br />1.938 <br />7 <br />3.3413 <br />3 <br />105° <br />g ,230 .420 .700 <br />1.17 <br />1.82 <br />1.Gi 1.90 <br />214 .14 2 39 <br />2.311 <br />2.90 <br />3-16 3.41 <br />T='.50 1.03. 1.55 2.03 <br />2.60 <br />3.14 <br />3.60 4.21 <br />4.76 5.31 <br />5.86 <br />G.43 <br />7.01 7.59 <br />110 <br />E= 260 .535 .808 1.08 <br />1.36 <br />1.63 <br />1.91 2.19 <br />2.49 2.61 <br />3.05 <br />3.35 <br />3.65 •3.95 <br />T=.54 1.13 1.70 2.29 <br />2.86 <br />3.45 <br />4.03 4.63 <br />5.`23 5.83 <br />6.44 <br />7.07 <br />7.70 8.35 <br />115° <br />/ F.=.307 '.621 .939 1.9-G <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.87 3.20 <br />3.53 <br />3.88 <br />9.23 4.58 <br />120° <br />T =.61 1:25 1.89 2.52 <br />3.16 <br />3.81 <br />4.44 5.11 <br />5.78 6.44 <br />7.11 <br />7.8016.31 <br />9.21 <br />E =.339 .720 1.03 1.45 <br />1.82 <br />2.20 <br />2.56 2.95 <br />3.33 3.72 <br />4.10 <br />4.50 <br />4.911 5.32 <br />V <br />A <br />