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VI TABLE L - Tangents; and Externals to a V Curve..' <br />Chord =100 ft. <br />Int <br />Anglee <br />Tangent <br />g <br />Extemal <br />Int. <br />angle <br />Tangent <br />External <br />Int' <br />Angle <br />Tangent. <br />External <br />85° <br />5250.3 <br />2041.7 <br />or. <br />5933.2 <br />251 S.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 />6967:9 <br />2543.5 <br />120 <br />6748:2 <br />3122.9 <br />30 <br />5296.4 <br />2073.0 <br />30 <br />5985.3 <br />2550.0 <br />30 <br />G768.1 <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 />2504.0 <br />lee <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 />6848.5 <br />3199-0 <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 />5389.0 <br />2136.7 <br />30 <br />G090.8 <br />2632.6 <br />30 <br />6389.2 <br />3230.9 <br />40 <br />5105.6 <br />2147.5 <br />40 <br />6108.6 <br />264.5.5 <br />40 <br />6909:6 <br />3246-5 <br />50 <br />5421,4 <br />2158.4 <br />53 <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 />6144.3 <br />2671.6 <br />101 <br />6950:6 <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />0102.0 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5 169. 0 <br />2191.1 <br />20 <br />0180.2 <br />2697.9 <br />20 <br />6992,U <br />33I0.1 <br />30, <br />5184.9 <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 />0316.4 <br />2724.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />3517.0 <br />2224.3 <br />50 <br />6234.6 <br />2737.9 <br />.50 <br />7054.5 <br />3358.5 <br />SS. . <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 />G271.1 <br />2764.8 <br />10 <br />7006.6 <br />3391.2 <br />'20 <br />5565.4 <br />2258.0 <br />.20 <br />G289.4 <br />2778.3 . <br />20, <br />7117.8 <br />3407.7 <br />30 <br />5581.6 <br />2269.3 <br />30 <br />G307.9 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 . <br />;4.0 <br />G326.3 <br />2805.G <br />40 <br />'7160.3 <br />3440-9 <br />50 <br />5614.2 <br />2292.0 <br />50 <br />i <br />6344.8 <br />2819.4 <br />50 <br />7181.7 <br />3457.0 <br />'B9',,- <br />5630.5 <br />2303.5 <br />r <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 />6382.1 <br />2847.0 <br />- 10 <br />`7224.7 <br />3491.3 <br />20 <br />5363.4 <br />232G.6 <br />- 20 <br />0100.8 <br />2301.0 <br />20: <br />7246.3 <br />3503.2 <br />30 <br />5G79.9 <br />2338.2 <br />30 <br />0419.5 <br />2875.0 <br />30; <br />10025.0 <br />3525.2 <br />40 <br />5696:4 <br />2349.8 <br />40 <br />6438.4 <br />2889.0 <br />46. <br />_7268.0 <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 />404 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2385:1 <br />10 <br />6495.2 <br />2931.6? <br />10 <br />7355.6 <br />3591.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />65 14. 3 <br />294.5.9 <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 />7399.0 <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 />3040.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3064.5 <br />91 <br />5830.5 <br />2444.0 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />10 <br />5847.5. <br />2457.1 <br />10 <br />6510.6 <br />301,8.4 <br />10 <br />7489.6 <br />,36&2.3 <br />. 3700.2 <br />20 <br />5864.6 <br />2469.3 <br />20 <br />6530.1 <br />3033.1 <br />20 <br />7512.2 <br />3718.2 <br />30.: <br />5881.7 <br />248t.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3730.2 <br />40 <br />5898.8 <br />2493.8 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />1 7557.7 <br />3754.4 <br />50 <br />! 5916.0 <br />25'06.1 <br />50 <br />6588.8 <br />3077.7 <br />50 <br />: 7550.5 <br />3772.6 <br />Corrections to be Added (T =Tangent. E. = External.) <br />Int. <br />Angle <br />Curve 5° <br />10° 15° 20° <br />25° <br />30° 35° <br />40° 45° <br />50° 55° <br />60° <br />85° <br />T=.33 <br />.66 1.00 1:33 <br />1.38 <br />2.02 2.30 <br />12.TU 3.05 <br />3.40 3.77 <br />4.14 4.55 4.89 <br />9169:4 <br />E=.128.:.259 <br />.391 .524 <br />.657 <br />.700 .926 <br />1.00 11.20 <br />1.34 -1.47 <br />1.63 1.76 1:fl1 <br />90° <br />T=.35 <br />.72 1.09 1.45 <br />1.83 <br />2.20 2.572.94 <br />3.32 3.70 4.10 <br />4.50 491 5.32 <br />-8388.9 <br />E=.149 <br />.299 .450 .603 <br />.756 <br />.910 1.07 <br />122 1.38 <br />1.54 1:'e0 <br />1.87 2.03 12.20 <br />95° <br />T=.39.79 <br />1.19 1.55 <br />2.00 <br />2.40 2.80 <br />3.20 3.61 <br />1.99 <br />11.62 <br />4.02 4.49 <br />4.98 5.33-15 .83 <br />3865.2 <br />13-.174 <br />.350 .522 .706 <br />.985 <br />1.06 1.25 <br />1.43 <br />1.80 <br />2.18 2.38 2.58 <br />190° <br />T=.43 <br />.86 1.30 1.74 <br />2AS <br />2.62 3.06 3.50 3.95 4.40 9.88 <br />5.37 5.85 6.34 <br />9319.5 <br />);=.200 <br />.401 .604 .809 <br />1.01 <br />1.22 1.43 <br />1.64 L95 <br />2.06 2.28 <br />2.50 2.73 2.96 <br />105° <br />T- A5 <br />.94 142 1.00 <br />2.38 <br />2.87 3.34 <br />3.84 4.35 <br />4.84 5.35 <br />5.87 6.40 6.93 <br />4538.8 <br />Em.2,-;0 <br />.470 .7W .9381.17 <br />5262.3 <br />1.42 1.651 <br />1.;A 12.14 2.3@ 2.85 <br />2.90 3.16 3.41 <br />TABLE I. - Tangents and Externals to -a 1° Curve. <br />Chord =100 it. <br />VII <br />Int. <br />Angle <br />Tangent <br />External <br />Angle <br />A <br />Tangent <br />Extzraal <br />Angle <br />Angl <br />Tangent <br />External <br />100' <br />'7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />1160 <br />9169:4 <br />5082.7 <br />l0' <br />7620.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />iW <br />9199.1 <br />5107.0 <br />20 <br />-7649.7 <br />3827.9 <br />20 <br />-8388.9 <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.S <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 />T814.3 <br />3960.1 <br />30 <br />8575.0, <br />4593.4 <br />30 <br />9442.2 <br />5315.0 <br />41) <br />7838.1 <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 />50 <br />8629.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />4.23 <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />10 <br />.7886.2 <br />7910.4 <br />4037.8 <br />10 <br />8684.0 <br />4674.2 <br />to <br />9567.2 <br />5422.1 <br />20 <br />7934.6 <br />4057.4 <br />20 <br />8711.5 <br />4607.2 <br />20 <br />9598.9 <br />5449.2' <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 />4743.0 <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 />9594.7 <br />5531.7 <br />108 <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 />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 />10 <br />9857.7 <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />, 50 <br />8965.0 <br />4909.9 <br />50 <br />9SD0.8 <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 />4280.5 <br />LO <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 />498311 <br />- 20 <br />0991.0 <br />5787.7 <br />30 <br />8259.3 <br />-4322.4 <br />30 <br />9080.9 <br />5007.830 <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 />I <br />8310.8 <br />43G4.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />. <br />5876.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />Int. Curse 5° <br />10° <br />IJ <br />2D° <br />25° <br />30° <br />35° 40° <br />45' <br />50° <br />551 60° <br />65° <br />70° <br />Angle <br />T =.43 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 3.50 <br />3.95 <br />4.40 <br />4.88 5.37 <br />5.95 <br />.6.34 <br />IW° E=.200 <br />.86 <br />.441 <br />.804 <br />:809 <br />1.01 <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.48 <br />2.28 2.50 <br />2.53 <br />2.98 <br />1.7W .42 <br />1.938 <br />105° E =.230 <br />.470 <br />1 17 <br />1.42 <br />1.65 1 90 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3.18 <br />8.41 <br />T =.50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66 4.21 <br />4.70 <br />5.31 <br />5.86 6.43 <br />7.01 <br />7.59 <br />1l0° <br />E =.260 <br />.535 <br />.808 <br />1.08 <br />1.38 <br />1.83 <br />1.91 2.19 <br />2.49 <br />2.61 <br />3.05 3.35 <br />3.85 <br />8.95 <br />T =•54 <br />1.13 <br />1.70 <br />2.29 <br />2.86 <br />8.45 <br />4.03 4.63 <br />5.23 <br />5.83 <br />8.44 7.07 <br />7.70 <br />8.35 <br />115° I =:307 <br />' .624 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.87 <br />3.20 <br />3.53 3.88 <br />4.23 <br />4.58 <br />T-61 <br />1.25 <br />1.89 <br />2.52 <br />3.18 <br />3.91 <br />4.49 5.11 <br />b.78 <br />8.44 <br />7.11 7 80 <br />861 <br />9.21 <br />120° E =.339 <br />.720 <br />1.03 <br />1.45 <br />1.82 <br />2.20 <br />2.18 2.95 <br />3.33 <br />3.72 <br />4.10 4.50 <br />4.91 <br />5.32 <br />