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VI TADLU I. - Tangents and Externals to a V Curve. <br />(h nrrl = 1 O0 f+ ` <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />I Tangent <br />I External <br />Angle <br />Tangent <br />External <br />85° <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />2513.5 <br />99° <br />670S.6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />10' <br />5950.5 <br />253 1. 0 <br />10' <br />67'28.4 <br />3101.7 <br />20 <br />5281.0 <br />2062.5 <br />20 <br />5967.9 <br />2043.5 <br />l0 <br />6745.2 <br />3122.9 <br />30 <br />5206.4 <br />2073.0 <br />30 <br />5935.3 <br />2556.0 <br />30 <br />67GS.1 <br />3138.1 <br />40 <br />5311.9 <br />2053.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />6788.1 <br />3153.3 <br />50 <br />5337.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />680S.2 <br />3168.7 <br />BG <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 />2606.8 <br />10 <br />G848.5 <br />3199.6 <br />2U <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 />609U.8 <br />2632.6 <br />30 <br />GS89.2 <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 />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />32G2.3 <br />87 <br />5437.2 <br />2.169.2 <br />94 <br />6144.3 <br />2G71.G <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 />0971.3 <br />3294.1 <br />20 <br />5469.0 <br />2101.1 <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 />3U_ <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 />2724.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0 <br />2224.3 <br />50 <br />G234.6 <br />2737.9 <br />50 <br />7054.5 <br />3353.5 <br />BS <br />5533:1 <br />2235.5 <br />95 ' <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 />2764.8 <br />10 <br />7096.6 <br />3391.2 <br />20 <br />55G5.4 <br />2258.0 <br />20 <br />6289.4 <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 />2792.0 <br />30 <br />7139.0 <br />3124.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />50 <br />561.1.2 <br />2292,0 <br />50 <br />6344.8 <br />2819.4 <br />50 <br />7181.7 <br />3-157.6 <br />89 <br />5630.5 <br />2303.5 <br />96 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3471.4 <br />10 <br />5646.9 <br />'2'315.0 <br />10 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5663.4 <br />2320.6 <br />20 <br />6400.8 <br />2861.0 <br />20 <br />7246.3 <br />3505.2 <br />30 <br />5G79.9 <br />2338.2 <br />30 <br />6419.5 <br />2S75.0 <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 />7333.6 <br />3570.8 <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 />;763.1 <br />•2397.0 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />6533.4 <br />2900.3 <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 />3646.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2939.2 <br />50 <br />7444.6 <br />36G4.5 <br />91 <br />5830.5 <br />2444.9 <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.(1 <br />3018.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />5564.6 <br />2469.3 <br />20 <br />G630.1 <br />3033.1 <br />20 <br />7512.2 <br />3718.2 <br />30 <br />588.1.7 <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 />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 />Corrections to be Added (T =Tangent. E. =External.) <br />Int. <br />Angle <br />Cur��e 5° <br />10° <br />15° 20° 25° 30° <br />35° <br />40°I 45° 50° <br />55° <br />60° 65° <br />70° <br />85° <br />T=.33 <br />GG <br />1.00 1.33 1.68 2.02 <br />2.38 <br />2.70 3.05 3.40 <br />3.77 <br />4.14 4:55 <br />4.S9 <br />1(Y <br />1:=.128 <br />.250 <br />.391 .524 .657 .790 <br />.9261.06 <br />1.20 1.34 <br />1.47 <br />1.62 1.76 <br />1.91 <br />90° <br />T=.36 <br />.72 <br />1.09 11.45 1.83 2.20 <br />2.57 <br />2.94 3.33 3.70 <br />4.10 <br />4.50 4.91 <br />5.32 <br />30 <br />1,;=.149 <br />.299 <br />.450 .603 .756 .010 <br />1.07 <br />1.22 1.38 11.54 <br />1.70 <br />1.S7 2.03 <br />2.20 <br />95° <br />T=.301.19 <br />3305.2 <br />1.55 2.00 2.40 <br />2.80 <br />3.20 3.G1 4.02 <br />4.49 <br />4.93 5.38 <br />5.83 <br />50 <br />E=.174 <br />39M.0 <br />.522 .7D6 .935 1.06 <br />1.25 <br />1.43 1.63 1.80 <br />1.99 <br />2.18 12.38 <br />2.53 <br />100° <br />T=1.30 <br />3902.9 <br />1.74 2.18 2.62 <br />3.05 <br />3.50 3.95 4.40 <br />4.88 <br />5.37 5.85 <br />6.34 <br />10 <br />E=.601 <br />3921.9 <br />.509 1.01 1.22 <br />1.43 <br />1.61 1.85I2.OG <br />2.28 <br />1.73 <br />2.50 125 <br />°--•'J6 <br />105° <br />T=•46 <br />.94 <br />1.42 1.902.23 12.87 <br />3.31 <br />3.81 4.35 4.84 <br />5.35 <br />5.87 6.40 <br />6.93 <br />30 <br />E=,230. <br />.470 <br />.7001 .93311.! 7 I L•l2 11.65 <br />$575,0 <br />1.00 2.14 2.39 <br />2.04 <br />'1..90 3.16 <br />3.41 <br />TABLE L,- 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 />Angle <br />Tangent <br />External <br />106° ' <br />7603.5 <br />3791.0 <br />111° <br />8336.7 14386.1 <br />1.74 <br />116° <br />9169.4 <br />5082.7 <br />1(Y <br />7626.6 <br />3SO9.4 <br />10' <br />8302.7 14107.6 <br />5.85 6.34 <br />10' <br />9199.1 <br />5107.9 <br />.20 <br />7649.7 <br />3827.9. <br />20 <br />8388.41 <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 />3305.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />50 <br />7719.7 <br />39M.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 />4:)16.6 <br />117 <br />9349.9 <br />5236.2 <br />10 <br />7766.8 <br />3921.9 <br />10, <br />8521.3 <br />4535.8 <br />10 <br />93&0.5 <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 />528S.6 <br />30 <br />7514.3 <br />3960.1 <br />30 <br />$575,0 <br />15X3.4 <br />30 <br />944 2. 2 <br />5315.0 <br />40 <br />7838.1 <br />3979.4 <br />40 <br />8602.1 <br />4GOG.0 <br />40 <br />9473.2 <br />534 1. 5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />SG20.3 <br />4023.6 <br />5U <br />9504.4 <br />5368.2 <br />108 <br />788G.2 <br />4018.2 <br />113 <br />8G56.6 <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 />9593.9 <br />5449.2 <br />30 <br />79:79.0 <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.G <br />40 <br />9662.6 <br />5504.0 <br />50 <br />5008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />0694.7 <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 />41.57.3 <br />10 <br />SS51.0 <br />4814.1 <br />. 10 <br />9759.4 <br />5587.4 <br />20 <br />8082:3 <br />4177.5 <br />20 <br />8579.3 <br />4537.8 <br />20 <br />9798:0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />8907.7 <br />4861.7 <br />30 <br />9824.5 <br />,AA 3.8 <br />40 <br />8132.3 <br />4215.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />.9890.8 <br />5700.9 <br />110 <br />8182.8 <br />4250.7 <br />115 <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5720.7 <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 />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 />1OQ59.0 <br />5346:5 <br />50 <br />8310.8 <br />4364.3 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10003:0 <br />5576.1 <br />Corrections to be Added (T =Tangent.* E=External.) <br />Int. <br />Angle <br />Curve 51 10 15° <br />20° <br />1 25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° 70° <br />100° <br />T =.43 .86 1.30 <br />1.74 <br />2.18 <br />2.02 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.83 <br />5.37 <br />5.85 6.34 <br />L =.200 .401 Xat <br />.809 <br />1.01 <br />1.z2 <br />1.43 <br />LG4 <br />1.85 <br />2"06 <br />2.28 <br />2.50 <br />2.73 2.98 <br />105° <br />T=.46 .94 1.42 <br />1.90 <br />2.33 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.81 <br />5.35 <br />5.87 <br />8.40 G. D3 <br />E =.230 .470 .700 <br />.938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.18 3.41 <br />110° <br />T=•50 1.03 1.55 <br />12.03 <br />12.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 7.59 <br />_ <br />E=.260 .535 .8081.08 <br />1.36 <br />1.613 <br />191 <br />2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.6+1 3.95 <br />115° <br />T=.54 1.13 1.70 <br />2.20 <br />2.86 <br />3.45 <br />C <br />4.63 <br />5.23 <br />5.83 <br />6.44 <br />7.07 <br />7.70 8.35 <br />E=.307 .6211 .939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 <br />2.54 <br />2.87 <br />3.2D <br />3.53 <br />3.88 <br />4.23 4.58 <br />120° <br />T=.61 1.25 1.89 <br />252 <br />3.16 <br />3.81 <br />4.44 <br />5.11 <br />5.79 <br />6.44 <br />7.11 <br />7.60 <br />8.51 9.21 <br />1 =.339 .72061.08 <br />1.45 <br />d:82 <br />2.20 <br />2.•=.G <br />2.95 <br />3.33 <br />3.12 <br />4.10 <br />4.50 <br />4.01 1 5.32 . <br />U <br />