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VI TA13LE I. - Tangents and Externals to a 1° Curve. <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 />Lztcmal <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 />52M6.4 <br />2073.0 <br />30 <br />5985.3 <br />2556.0 <br />.30- <br />G76S.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />678S.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1. <br />50 <br />6020.2 <br />2531.3 <br />50 <br />GSOS.2 <br />3168.7 <br />86 <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 />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />2GIO.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2632.G <br />30 <br />6389.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.6 <br />2645.6 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />6421.4 <br />2158.4 <br />50 <br />0126.4 <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 />2130.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.0 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />.G198.3 <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 />6234.6 <br />2737.9 <br />50 <br />7054.5 <br />3358.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />0252.8 <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 />201 <br />0239.4 <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 />632G.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />50 <br />5614.2 <br />2292.0 <br />50 <br />03.14.8 <br />2819.4 <br />50 <br />7181.7 <br />3457.6 <br />89 - <br />5630.5 <br />2303.5 <br />i <br />96f <br />6363.4 <br />2533.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />6646.9 <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.G <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7246.3 <br />3:7,03.2 <br />30' <br />5679.9 <br />2338.2 <br />30 <br />6119.5 <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 />2889.0 <br />40 <br />7259.8 <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 />6495.2 <br />2931.6t <br />10 <br />7355.6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />G514.3 <br />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2108.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.0 <br />3G20.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />G552.6 <br />2974.7 <br />1 40 <br />7422.2 <br />3646.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <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 />3652.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7489.G <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 />5881.7 <br />2481_5 <br />30 ' <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />373G.2 <br />40 <br />5898.8 <br />2493.8 <br />40 <br />G669.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1• <br />50 <br />6G88.8 <br />3077.7 <br />50 <br />7580.:; <br />3772.6 <br />Corrections to be Added (T =Tangent. E. =External.) <br />Int. <br />Angle <br />rve Cu5° <br />10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50' <br />55° <br />60° <br />65° <br />.70° <br />85° <br />T=.33 <br />.66 <br />1.00 <br />1:33 <br />1.68 <br />2.02 <br />2.30 <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />20 <br />=.128 <br />.259 <br />.391 <br />.524 <br />.857 <br />.790 <br />.926 <br />1.00 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />90° <br />T=.36 <br />.72 <br />1.09 <br />1.45 <br />1.83 <br />2.20 <br />2.57 <br />2.94 <br />3.32 <br />3.70 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />50 <br />E=.149 <br />.299 <br />.450 <br />.603 <br />.756 <br />.910 <br />1.07 <br />1.22 <br />1.38 <br />1.54 <br />1.70 <br />1.87 <br />2.03 <br />2.20 <br />9P <br />T =.39.79 <br />4538.8 <br />1.19 <br />1.55 <br />2.00 2.40 <br />2.80 <br />13.20 <br />13.61 <br />4.02 <br />4.49 <br />4.98 <br />5.38 <br />5.83 <br />5288.6 <br />E =.174 <br />.350 <br />.522 <br />..706 <br />.985 <br />1.00 <br />1.25 <br />1.43 <br />1.62 <br />1.80 <br />1.99 <br />2.18 <br />2.38 <br />2.58 <br />130° <br />T=.43 <br />.86 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />14.88 <br />5.37 <br />5.85 <br />6.34 <br />4018.2 <br />E =.200 <br />.401 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 <br />1.65 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />12.96 <br />!OS° <br />T=.46.94 <br />7934.6 <br />1.42 <br />1.90 <br />2.38 <br />2.87 <br />3.34 <br />3.84 <br />l.35 <br />4.84 <br />5.35 <br />b.87 <br />6.40 <br />6.93 <br />4720.3 <br />E =.230 <br />.470 <br />.700 .938 <br />1.17 <br />1.42 <br />1.65 <br />1.00 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3.16 <br />3.41 <br />TABLE I. - Tangents and Externals to. a 1° Curve. VII <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Ynt' <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 <br />4386.1 <br />110° <br />9169.4 <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 />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 />7766.8 <br />3921.9 <br />10 <br />8521.3 <br />4538.8 <br />10 <br />0380.5 <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 />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7838.1 <br />3970.4 <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 />5365.2 <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 />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 />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 />4743.6 <br />40 <br />9662.6 <br />5504.0 <br />50 <br />6008.0 <br />4117.0 <br />50 <br />879-1.0 <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 />'8082.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.8 <br />20 <br />9792.0 <br />5616.5 <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 />40 <br />0857.7 <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />-60 <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 />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 />0051.7 <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 />0110.3 <br />5032.0 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />0139.8 <br />5057.G <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T = Tangent. E = External.) <br />Inngtje Curve 5° <br />10° <br />15° <br />20° <br />25° <br />301 <br />35° <br />40° <br />45° <br />50° 55° 60° <br />65° 70° <br />T=.43 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4.40 4.88 5.37 <br />5.85 .6.34 <br />100° E=.200 <br />.86 <br />.401 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2.06 2.28 2.50 <br />2.73 2.96 <br />T=.46 <br />1.42 <br />1.00 <br />2.38 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.84 5.35 5.87 <br />6.40 6.93 <br />105° E=.230 <br />.04 <br />.470 <br />.700 <br />.938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />12.39 2.64 2.90 <br />3.16 8.41 <br />T=.50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />5.31 5.86 6.43 <br />7.01 7.50 <br />110° <br />E=.260 <br />.535 <br />.808 <br />1.08 <br />1.36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.61 3.05 3.35 <br />3.65 3.95 <br />T=.b4 <br />1.13 <br />1.70 <br />2.29 <br />2.88 <br />3.45 <br />4.03 <br />4.83 <br />6.23 <br />6.83 8.44 7.07 <br />7.70 8.35 <br />115° E=.307 <br />.624 <br />.939 <br />1.2B <br />1.57 <br />1.89 <br />2.21 <br />2.b4 <br />2.87 <br />3.20 3.53 8.88 <br />4.23 4.58 <br />T=.61 <br />1.25 <br />1.89 <br />2.52 <br />3.18 <br />3.81 <br />4.44 <br />5.11 <br />5.78 <br />6.44 7.11 7.80 <br />8.51 9.21 <br />120° <br />E =.339 <br />.720 <br />1.09 <br />1.45 <br />1.82 <br />2.20 <br />2.16 <br />2.95 <br />3.33 <br />3.72 4.10 4.50 <br />4.91 6.82 <br />