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VI TAs1,E I. = Tangents and Externals to'a P Curve. TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord =100 ft. Chord =100 ft. ` <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. --Tangent <br />Anglc <br />.66 1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 <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 />4.08 <br />2062.5 <br />20 <br />5967.0 <br />2543.5 <br />20 <br />6748.2 <br />3122.9 <br />30 <br />15281.0 <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 />2U83.5 <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 />86 <br />'5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2504.0 <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 />2619.7 <br />20 <br />6868.8 <br />321.5.1, <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2G32.6 <br />30 <br />6389.2 <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 />324 G.5 <br />50 <br />5421.4 <br />2158.4 <br />60 <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 />6453. 1. <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3204.1 <br />20 <br />5469.0 <br />2191.1 <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 />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 />G252.8 <br />2751.3 <br />1.02• <br />7075.5, <br />3374.9 <br />10 <br />5549.2 <br />224G.7 <br />10 <br />G271.1 <br />2764.8 <br />10 <br />7096.6 <br />3391.2 <br />20 <br />5565.4 <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 />2230.6 <br />40 <br />G326.3 <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 />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 />7221.7 <br />3491.3 <br />26 <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 <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 />6495.2 <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 />2945.9 <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 />3629.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2074.7 <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 />7444.0 <br />3664.5 <br />91 <br />5830.5 <br />2444.0 <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 />3047.9 <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 />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° <br />10° 15° 20° 25° 30° 35° 40° 45° 50° 55° <br />60° <br />65° '70° <br />85° <br />T=.33 ' <br />.66 1.00 1.33 1.68 2.02 2.36 2.70 3.05 3.40 3.77 <br />4.14 <br />'4.55 4.89 <br />7603.5 <br />E=.128 <br />.259 A .521 .657 .790 .926 1.06 1.20 1.34 1.47 <br />1.62 <br />1.76 1.91 <br />90° <br />T=.36 <br />.72 1.09 1.45 1.83 12.20 12.57 12.94 3.32 3.70 4.10 <br />4.50 <br />4.91 5.32 <br />3809.4 <br />E=.149 <br />.299 '.450 .603 .756 .910 1.07 1.22 1.38 1.54 1.70 <br />1.87' <br />2.03 2.20 <br />95° <br />T=:30 <br />.7D 1.19 1 55 2.00 2.40 2.80 3.20 3.61 4.02 4.49 <br />4.08 <br />5.38 5.83 <br />20 <br />1' =-174 <br />.350 .522 .706 .985 1.06 1.25 1.43 1.62 1.80 1.99 <br />2.18 <br />2.38 2.58 <br />100° <br />T='.43 <br />.86 11.30 11.74 2.18 2.62 3.06 3.50 3.95 4.40 4.88 <br />5.37 <br />5.85 6.34 <br />8415.1 <br />E=.200 <br />.401 .604 .800 1.01 1.22 1.43 1.64 1.85 2.06 2.28 <br />2.50 <br />2.73 2.96 <br />105° <br />T=.46 <br />.94 1.42 1.00 2.38 2.87 3.34 3.81 4.35 4.8.1 5.35 <br />5.87 <br />6.40 6.93 <br />4472.7 <br />E=.230 <br />.470 .700 .9381.17 1.42 1.65 1.90 2.14 2.39 2.64 2.90 <br />3.16 3.41 <br />M <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int' <br />Angle <br />Tangent <br />g <br />External <br />106° • <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116°. <br />9169.4 <br />5GS2.7 <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 />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 />7814.3 <br />3960.1 <br />30 <br />8575.0 <br />45S3.4 <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 />5368.2 <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 />7034.6 <br />4037.4 <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 />9030.7 <br />5476.5 <br />40 <br />7983.5' <br />4097.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />9GC2.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />969-6.7 <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 />5615.5 <br />30 <br />S107.3, <br />4197.9 <br />30 <br />8907.7 <br />4861.7 <br />30 <br />-9824.8 <br />5&13.8 <br />40 <br />8132.3 <br />4218.4 <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 />0890.8 <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 />8205.2. <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 />9050.9 <br />5007.8 <br />30 <br />10025:0 <br />5317.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />9110.3. <br />5032.6 <br />40 <br />10059.0 <br />n4G.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5870.1 <br />Corrections to be Added (T =Tangent. E=External.) <br />Int. <br />Angle Curve 5° 10° <br />15° 20° <br />25° 30° 35° 40° <br />45° 50° <br />55° <br />60° <br />65° 70° <br />100° T=.43 .86 <br />1.30 1.74 <br />2.18 2.62 3.06 3.50 <br />3.05 4.40 <br />4.88 <br />5.37 <br />5.85 6.34 <br />F=.200 .401 <br />.604 .809 <br />1.01 1.22 1.43 1.04 <br />1.85 2.00 <br />2.28 <br />2.50 <br />2.73 2.96 <br />105° T=.46 .94 <br />1.42 190 <br />2.38 2.87 3.34 3.84 <br />4.35 4.84 <br />5.351 <br />3.871 <br />6.40 6.93 <br />E=.230 .470 <br />.700 .938 <br />1.17 1-42 1.65 1.90 <br />2.14 2.39 <br />2.6412.901 <br />3.16 3.41 <br />110° T=.50 1-03 <br />'.535 <br />1.55 2.08 <br />2.60 3.14 3.66 4.21 <br />4.76 6.31' <br />5.86 <br />6-43 <br />7.01 7.59 <br />E=.280 <br />.808 1.08 <br />1.36 1.63 1.91' 2.19 <br />2.49 2.61 <br />3.05 <br />3.35 <br />3.65 3.95 <br />115° T=.54 1.13 <br />1.70 2.29 <br />2.86 3.45 4-03 4.63 <br />5.2 5.83 <br />6.44 <br />7.07 <br />7.70 6.35 <br />E=.307 .624 <br />939 1.26 <br />1.57 1.89 2.21 2.54 <br />2.87 3.20 <br />3.53 <br />338 <br />4.23 4.58 <br />120° T=.61 1.23 <br />1.89 2.52 <br />3.16 3.81 4,44 5.11 <br />5 .78 6.44 <br />7.11 <br />7.80 <br />8.51 9.21 <br />E=.339 .72011.08 <br />1.45 <br />1.82 2.20 2.56 1 2.05 <br />3.33 3.72 <br />4.10 <br />4.50 <br />4.91 5.32 <br />