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V1 TABLF 1. - Tangents and Externals to a i' Curve. <br />Chord= 100 ft. <br />In l <br />Anglo <br />Tangent <br />Fxternal <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />6 <br />External <br />850 <br />5250.3 <br />2041.7 <br />02°. <br />5933.2 <br />2518.5 <br />991 <br />6708.6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />I0' <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 />2556.0 <br />30 <br />6768.1 <br />3133,1 <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 />60 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2587.3 <br />50 <br />6808.2 <br />.3168.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />0828.3 <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 />2619.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2G32.0 <br />30 <br />6389.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.6 <br />40 <br />6108.6 <br />264555.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />6421.4 <br />2158.4 <br />59 <br />6126.4 <br />2658.5- <br />50 <br />0930.1 <br />3262.3 <br />87 <br />5437.2 <br />2169.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />6950.(', <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />6102.6 <br />26684.7 <br />10 <br />0971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />2J <br />G180.2 <br />2697.0 <br />20 <br />6992.0 <br />3310.1 <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 />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 />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 />5563.4 <br />2258.0 <br />20 <br />6,280.4. <br />2778.3 . <br />20. <br />7117.8 <br />3407.7 <br />30 <br />5581.6 <br />2209.3 <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 />G326.3 <br />2805.6 <br />40. <br />7160.3 <br />3440.9 <br />ED <br />5614.2 <br />2292.0 <br />50 <br />6344.8 <br />2810.4 <br />50 <br />7181.7 <br />3457.E <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 />1.0 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5;63.4 <br />2326.6 <br />20 <br />G1D0.8 <br />2561.0 <br />20 <br />724G.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />G119.5 <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 <br />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />2361.6 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311,7 <br />3559.G <br />0a <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 />2931.6 <br />10 <br />7355.6 <br />359.1.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />G514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.0 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3029.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />(1552,6 <br />2974.7 <br />40 <br />7422.2 <br />3640.3 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571,9 <br />2989.2 <br />50 <br />7444.G <br />3GG4.5 <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 />6610.6 <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 />5881.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.0 <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 />250G.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 />Curve 5°[.259 <br />External <br />1S° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45' <br />50° <br />55° <br />60° <br />65° <br />'7D° <br />85° <br />T=.33 <br />5082.7 <br />1.00 <br />1.33 <br />1.68 <br />2,02 <br />1,36 <br />2.70 <br />'3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />20 <br />TM.128 <br />4429.2 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926 <br />1.OG <br />1.20 <br />1.34 <br />L47 <br />1.62 <br />1.76 <br />I.91 <br />40° <br />T=.35 <br />3865.2 <br />1.09 <br />1.45 <br />1.83 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 />4494.6 <br />E =.149 <br />9319.5 <br />.450 <br />.603..756 <br />7743.2 <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 />9S° <br />T=.39 <br />8521.3 <br />1.19 <br />1.55 <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />3.61, <br />4.02 <br />4.49 <br />4.98 <br />5.38 <br />5.83 <br />6288.6 <br />U=.174 <br />7814.3 <br />.522 <br />.700 <br />.985 <br />1.05 <br />1.25 <br />1,43 <br />1.62 <br />1,80 <br />1.99 <br />2.18 <br />2.36 <br />2.58 <br />100° <br />T=.43 <br />88 <br />1.30 <br />174 <br />2.18 <br />2.62 <br />3.06 <br />3,50 <br />13.114.40 <br />50 <br />4,88 <br />5.37 <br />5.85 <br />8.34 <br />4018.2 <br />E=.200 <br />,401 <br />.604 <br />.8091.01 <br />9535.7 <br />1.22 <br />1.43 <br />1.64 <br />1 <br />2.06 <br />2,28 <br />2.50 <br />2.73 <br />2.96 <br />105° <br />T =.46 <br />.94 <br />1.42 <br />1.00 <br />2.38 <br />2.87 <br />3.34 <br />3,84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />8.40 <br />6.93 <br />4720.3 <br />E =.210 <br />.470 <br />.700 .93811-17 <br />40 <br />142 <br />1.65 <br />1.0 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3.18 <br />3.41 <br />TABLE 1. - Tangents and Externals to a 1' Curve. VII <br />Chord =100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Augle <br />Tangent <br />External <br />106° <br />7603.5 <br />3791,0 <br />111° <br />8336.7 <br />4386.1 <br />116° <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 />7696.0 <br />3865.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />450 <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 />3921.0 <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 />6288.6 <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 />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 />5358.2 <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 />46 <br />9662.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.0 <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 />-to <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 />40 <br />9857.7 <br />5672.0 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <br />6700.0 <br />110 <br />8182.8 <br />4250,7 <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 />498921 <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 />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />4364,8 <br />50 <br />0139.8 <br />5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />Int. <br />Angle Curve 5° 10° 151 20° <br />25° 30° 35° 40° <br />45° <br />50° <br />55' <br />60° <br />65° <br />' 70° <br />100° T=,43 .80 1.30 1.74 <br />2.18 2,62 3.06 3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />6.85 <br />6.34 <br />E =,200 .401 AN .609 <br />1.01 L22 1.43 1.64 <br />1.35 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.00 <br />T-.46 .94 1.42 1.90 <br />105° <br />2.38 2.87 3.34 3.84 <br />4.35 <br />4.84 <br />5.85 <br />5.87 <br />8.90 <br />6.93 <br />E=.230 .470 .700 .933 <br />1.17 1.42 1.65 1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />130° T=.50 1.03 1.55 2.08 <br />2.60 3.14 3.66 4.21 <br />4.76 <br />6.31 <br />5.86 <br />6.43 <br />7.01 <br />7.59 <br />E=.260 .535 .808 1.08 <br />1.35 1.63 1.91 2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.55 <br />3_95 <br />I15° T=•59 1.13 1.7p 2.29 <br />2.8$ 945 9.03 4.83 <br />5.23 <br />b.83 <br />8.49 <br />7.07 <br />7.70 <br />8.35 <br />11:.307 .624 .930 1.26 <br />1.57 1.89 2 21 2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.68 <br />120° T=.61 1.25 1.89 2.52 <br />3.1$ 3.81 4.44 5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />I. <br />r- .720 1.08 1.45 <br />1.82 2.20 2.;5 12.95 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 <br />6.9$. <br />