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VI TAni.E I. - Tangents and Externals to a 1° Curve. <br />Chnrd=1(10 ft - <br />Int: <br />Angle <br />Tangent <br />I External <br />Int. <br />Angle <br />I Tangent <br />External <br />Int. <br />Angle <br />TangentExternal <br />85° T=.33 .GG <br />86° <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 />20552.1. <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />-20 <br />5251.0 <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 />3138.1 <br />40 <br />5,311.9 <br />2083.5 <br />40 <br />6002.7 <br />2565.6 <br />40 <br />6788.1 <br />3153.3 <br />50 <br />5.427.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6S08.2 <br />3165.7 <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 />G055.4 <br />2606.8 <br />10 <br />. 68,18.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />(,073.1 <br />2619.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.0 <br />2136.7 <br />30 <br />6090.8, <br />2632.G <br />30 <br />6889.2 <br />3230.3 <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 />1 50 <br />6126.4 <br />2653.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2169.2 <br />91 <br />6144.3 <br />2671.6 <br />101 <br />.6950.6 <br />3275.1 <br />10 <br />5453.1 <br />2150.2 <br />10 <br />6162.6 <br />2654.7 <br />10 <br />6971.3 <br />3294.1 <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 />0216.4 <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 />3353.5 <br />68 <br />5533.1 <br />2235.5 <br />'95 <br />62.52.8 <br />27::1.3 <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 />20 <br />62S9.4 <br />2778.3 <br />20 <br />7117.8 <br />3407.7 <br />30 ' <br />5581.6 <br />2269.3 <br />30 <br />6307.0 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2250.6 <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 />7131.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.5 <br />96 <br />6363.4 <br />2,533.2 <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 />3401.3 <br />20 <br />5663.4 <br />2326.6 <br />20 <br />6400.8 <br />28G L 0 <br />20 <br />7246.3 <br />3505.2 <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 />00 <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 />651.1.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />.6533.4 <br />6552. 6, <br />2974.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5813.0 <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 />2.14.1.0 <br />98 <br />6591.2 <br />-3003.8- <br />105 <br />7467.0 <br />3GS2.3 <br />10 <br />5547.5 <br />2457.1 <br />10 <br />6610.6 <br />3016.4 <br />10 <br />7489.0 <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 />5SS1.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5598.8 <br />2403.8 <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 />6688.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T=Tangent. E. = External.) <br />Iat. Curve 5° 10° <br />15' 20° 1 25° 130° <br />35° 40° <br />1 45' 50° 55° 1 60° 65° <br />Angle <br />External <br />Int. <br />Angle <br />Tangent <br />85° T=.33 .GG <br />1.00 1.33 1.68 2.02 <br />2.35 2.70 <br />3.05 3.40 3.75 4.14 9.55 9 <br />E=.128 .259 <br />.391 .524 .657 .790 <br />.926 1.06 <br />1.20 1.34 1.47 1.62 1.76 1 <br />90° T =.313 .72 <br />1.09 11.45 1.83 12.20 <br />2.57 2.04 <br />3.32.3.70 4.10 4,50 4.91 + <br />E=.149 .299 <br />.450 .603 .756 .910 <br />1.07 1.22 <br />1.38 1.54 1.70 1.87 2.03 <br />95' T=.30 .79 <br />1.101.55 2.00 2.40 <br />2.80 3.20 <br />3.61 4.02 4.49 4.08 5.38 <br />E=.174 .350 <br />.5221 .706 .985 1.06 <br />1.25 1.43 <br />1.62 1.80 1.99 2.18 2.38 S <br />100° T=.43 86 <br />1.30 1.74 2.18 12.62 <br />13.06 3.60 <br />3.95 4.40 4.88 5.37 5.85 I <br />( <br />E=.200 .401 <br />.GO4 .809 1.01 1.22 <br />1.43 1.64 <br />1.85 2.06 2.28 2.50 2.73 S <br />105° T =.46.91 <br />11.42 <br />3.34 3.81 <br />4.84 5.35 5.87 6.40 <br />E =.230 .470 <br />11.90 12.38 12.87 <br />.700 .938 1.17 1.42 <br />1.65 1.90 <br />14.35 <br />2.14 11 2.39 2.64 2.90 3.16 <br />TABLE I. - Tangents and Externals to a 1° Curve. PII <br />Chord= 100 ft. <br />Int. ' . <br />Angle <br />Tangent <br />External <br />Int., <br />_ 'Angle I <br />� <br />Tangent I <br />External <br />Int. <br />Angle <br />Tangent <br />Ezternal <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 />3346.5 <br />30 <br />8415.1 <br />4450.0 <br />30 <br />9259.0 <br />5158.8 <br />40 <br />7G96.3 <br />3865.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9259.2 <br />5184.5 <br />50 <br />7719.7 <br />3SS4.0 <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 />7766.3 <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 />5238.6 <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 />8029.3 <br />4625.6 <br />50 <br />9504.4 <br />53GS.2 <br />108 <br />7886.2 <br />401S.2 <br />113 <br />8656.6 <br />40:711.3 <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 />5.122.1 <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 />8739.3 <br />4720.3 <br />30 <br />9630.7 <br />5476.5 <br />40 <br />7983.5 <br />•1007.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />9662.13 <br />.5504.0 <br />.50 <br />6008.0 <br />4117.0 <br />50 <br />5794.9 <br />,1766.9 <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 />481.1.1 <br />10 <br />9759.4 <br />5557.4 <br />20 <br />8052.3 <br />4177.5 <br />'20 <br />8879.3 <br />4S37.S <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />8907.7 <br />4361. 7 <br />30 <br />9S24.8 <br />5643.3 <br />40 <br />5132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9557.7 <br />5672.3 <br />50 <br />8157.5 <br />4339.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9S90.8 <br />5700.9 <br />110 <br />8182.9 <br />4259.7 <br />115 <br />8993.3 <br />4934.1 <br />120 <br />9024.0 <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 />5758.0 <br />20 <br />8233.7 <br />4301.4 <br />2U <br />9051.7 <br />4953.1 <br />20 <br />9991.0 <br />5757.7' <br />30 <br />82.59.3 <br />4322.4 <br />30 <br />90S0.0 <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 />50:12.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />4304.8 <br />50 <br />9139.9 <br />5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T =Tangent. . E = External.) <br />Aagle Curve 5' 110° 15° 120° <br />125° <br />30' <br />35° <br />40° <br />45° <br />150° <br />1 55° 60° <br />65° <br />70° <br />100' T =.43 .36 130 1.74 <br />'Got <br />2.13 <br />2.G2 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88 5.37 <br />5.55 <br />0.34 <br />E=.200 .401 .809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2.06 <br />'2.2S 2.50 <br />2.73 <br />2.96 <br />105° T=.40 .Si4 1:42' 1.90 <br />3.38 <br />2.87 <br />3.34 <br />11.65 <br />3.84 <br />4 35 <br />4.34 <br />5.35 x87 <br />6.40 <br />6.93 <br />_ E=.230 .47C .700 .935 <br />1.17 <br />1.42 <br />1.90 <br />2.14 <br />2.39, <br />2.61 2.90 <br />3.16 <br />3.41 <br />03 11.55 2.DS <br />IID' T =•50 1:5251'1'00,1111.08 <br />2.60 <br />3.14 <br />3.013 <br />4.31 <br />4.513 <br />5.31 <br />-.BG 16.43 <br />7.01 <br />7.59 <br />E=200 835 .SOS 1.08 <br />t.36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.01 <br />3.05 3.35 <br />3.651 <br />3.95 <br />515° T= 54 1.13 1.70 (Z:29 <br />2.86 <br />3.45 <br />4.03 <br />4.63 <br />5 '3 <br />5.53 <br />07 <br />6.4�11 <br />7.701 <br />5.35 <br />E =.307 .624 .93911.26 <br />1.57 <br />1.39 <br />3.21 <br />2.53! <br />2.57 <br />8.20 <br />3.583 <br />4."3 <br />4.58 <br />1_0' T=.61 1.25 I1.S9 ".52 <br />3.16 <br />3.81 <br />4.3.5 <br />5.11 <br />5.79 <br />13.4: <br />7.180 <br />8.51 <br />9.'21 <br />L=.339 .7301.03 1.45 <br />11.S2 <br />3.301 <br />2..961 <br />2.95 <br />3.33 <br />3.72 <br />4.1, <br />4.911 <br />5.32 <br />zN <br />