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Im1 <br />RI TABix I. Tangents'_and Externals to a V Curve. <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />int. <br />'Angle <br />Tangent <br />I <br />External <br />I <br />Int. <br />Angle <br />Tangent <br />External <br />85° <br />5250.3 <br />.2041.7 <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 />20 <br />5967.9 <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 />12556.0 <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 />3168.7 <br />80 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />6823.3 <br />3184.1 <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 />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 />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 />04 - <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 />2654.7 <br />10 <br />6971.3 <br />3:.x9.1.1 <br />"-20 <br />5469.0 <br />2191.1 <br />20 ' <br />6180.2 <br />2697.0 <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 />2724.5 <br />40 <br />7033.6 <br />3312.3 <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 />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 />5.565.4 <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 />3424.3 <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 />5614.2 <br />2292.0 <br />50 <br />6344.8 <br />2819.4 <br />50 <br />7181.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.5 <br />,96' <br />6363.4 <br />2&33.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5046.9 <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 />2861.0 <br />20 . <br />"7246.3 <br />3508.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.5 <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 t <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 />'3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6405.2 <br />2931.6 <br />10 <br />7355.6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />29.45.9 <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 />3029.2 <br />40 <br />57W7 <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 />6571.0 <br />2989.2 <br />50 <br />7444.6 <br />3664.5 <br />81 <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 />6610.6 <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 />30 <br />58S1.7 <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 />GGSS.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 />Curve 5° <br />10° 15° 20° 25° 30° <br />35°; 40° 45° <br />50° -55° <br />60° 65° 7 <br />85° <br />T=.33 <br />.66 11.00 1.33 1.68 2.02 <br />2.36 2.70 3.05 <br />3.40 3.77 <br />4.14 4.55 4• <br />111° <br />E=.128 <br />.259 .301 .524 .657 .790 .926 1.06 1.20 <br />1.34 1.47 <br />1.62 1.76 I- <br />90* <br />T=.36 <br />.72 1.09 1.45 1.83 2.20 <br />2.57 2.94 3.32 3.70 4.10 <br />4.50 4.91 5. <br />8362.7 14107.6 <br />E =.149 <br />.299 .450 .603 .756 .910 <br />1.Oi 1.02 1.38 <br />1.54 1.70 <br />1.87 2.03 2• <br />950 <br />T =.39 <br />.79 1.19 1.55 2.00 2.40 2.fi0 3.20 3.61 <br />4.02 4.49 <br />4.98 5.35 5. <br />20 <br />E =.174 <br />.350 ,522 .706 .985 1.06 <br />1.25 1.43 1.62 <br />1.60 1.99 <br />2.18 2.38 2• <br />100° ' <br />100, <br />'T =.43 <br />.66 1.30 1.74 2.18 2.62 <br />3.06 3.50 3.95 <br />4.40 4.88 <br />5.37 5.85 0- <br />40 <br />7696.3 <br />,401 .404 .509 1.01 1.22 <br />1.43. 1.64 1.85 <br />2:06 2.28 <br />2.50 2.73 2• <br />105° <br />E= 230 <br />1938 <br />50 <br />7719.7 <br />3884.0 <br />1 <br />.47011.700 1.17 1.42 <br />1.65 1 90 2.14 2.39 2.64 <br />2.90 3.10 1 3_ <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 />Angle I <br />Tangent <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />833G.7 143SG:1 <br />'55° <br />116° <br />9169.4 <br />5082.7 <br />10' <br />7626.0 <br />3509.4 <br />10' <br />8362.7 14107.6 <br />4.89 <br />10' <br />9199.1 <br />5107.9 <br />20 <br />7649.4 <br />•3827.9 <br />20 <br />5388.9 <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 />38G5.2 <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 />84(38.0 <br />4494.6 <br />50 <br />9310.5 <br />5210.3 <br />107 <br />7743.2 <br />3902.9. <br />112 <br />&194.6 <br />4516.6 <br />117 <br />9349.0 <br />5236.2 <br />10 <br />7766.8 <br />3921.9 <br />10 <br />5521.3 <br />4538.8 <br />10 <br />9380,5 <br />5262.3 <br />20 <br />7790.5 <br />3940.9 <br />20 <br />S548.1 <br />.4561.1 <br />20 <br />9411.3 <br />5285.6 <br />30 <br />7514.3 <br />3960.1 <br />30 <br />8575.0 <br />4553.4 <br />30 <br />94:42.2 <br />5315.0 <br />40 <br />78.35.1 <br />3979.4 <br />40 <br />8602.1 <br />4606.0 <br />40 <br />9473.2. <br />5341.5 <br />50 _ <br />78,62:1 <br />3998.7 <br />50 <br />8629.3 <br />4628.6 I <br />50 <br />9504.4 <br />5363.2 <br />108 <br />7886.2 <br />4018.2 <br />.113 <br />8656.6 <br />4651.3; <br />118 <br />'0535.7 <br />5305.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />8684.0 <br />4674. 2i <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 />54.19.2 <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 />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 />0727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />- 10 <br />5551.0 <br />4814.2 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />8879.3 <br />4537.8 <br />20 <br />9702.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />5907.7 <br />4S61.n <br />30 <br />9524.8 <br />5G43.8 <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 />8157.5 <br />4239:0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9800.8 <br />5700.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />5993.8 <br />4934.1. <br />120 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />495S.5 <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 />90S0.9 <br />5007.5 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.-0 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.-0 <br />50 <br />10093.0 <br />5876.1 , <br />Corrections to be Added (T = Tangent. E = External:) . . <br />Int. <br />.ngln Curve 5° 100 -15° <br />20° <br />1 25° 30° <br />35° <br />40° i 45° 50° <br />'55° <br />60° <br />65° <br />70° <br />000 T=,4386 1.30 <br />1.74 <br />2.13 2.62 <br />3.06 <br />3.50 1 3.95 4.40 <br />4.89 <br />5.37 <br />5.85 <br />6.34 <br />E=.200 .401 .004 <br />.809 <br />1.01 1.22 <br />1.43 <br />.1.64 1.80 2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />OS° T=.4G 94. 1.42 <br />1.90 <br />12.38 2.87 <br />3.3.1 <br />3.84 4.35 4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />E =.230 .470 .700 <br />.938 <br />1.17 1.42 <br />1:65 <br />1.90 2.14 2.39 <br />2.64, <br />2.90 <br />3.16 <br />3.41 <br />10" T=.50 11.03 11 .5,5 <br />1-1112.60 <br />3.1'4 <br />3"66 <br />4.21 4.76 5.31 <br />5.8G <br />6.43 <br />7.01 <br />7.59 <br />E-.260 .SO3.1.08-11.36 <br />1.63 <br />1.91 <br />2.19 ,2.49 2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />15o T=.54 1.13 1.40 <br />'1..29 <br />2.86 3.45 <br />4.0.3 <br />4.63 5.23 5.53 <br />G.44 <br />7.07 <br />4.70 <br />8.35 <br />E =.307 .624 .939 <br />1.26 <br />1.57 1.89 <br />2.21 <br />2.59: 2.87 3.20 <br />3.53 <br />3.88 <br />4.23 <br />4 SB <br />200 T=.61 1.25 1.89 <br />'2.52 <br />3.16 3.81 <br />4.44 <br />5.11 5.78 6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />E=.339 .720 1.08 <br />11.45 <br />1.82 `2.20 <br />2.56 <br />2.95 3.33 3.72 <br />14.10 <br />4.50 <br />4.01 <br />( 5.32 . <br />J <br />