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- 1 1 TABLE I. - Tangents and Externals to a 1, Curve. <br />Chord=100 ft. <br />Angle Tangent External Int` <br />Angle <br />g <br />I <br />Angle' <br />Tangent <br />External <br />Int' <br />Angle <br />'ai <br />Tangent <br />External <br />85° <br />5250.3 <br />2041.7• <br />92° <br />5933.2 <br />2518.55 <br />99°' <br />6708.6 <br />3092.7 <br />10' <br />5265. C, <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 />G748.2 <br />-3122.9 <br />30 <br />5296.4 <br />2073.0 <br />30 <br />5985.3 <br />-255G.0 <br />.30 <br />670,3.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />G788.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />0020.2 <br />2581.3 <br />50 <br />0808.2 <br />3168.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />GS28.3 <br />31841 <br />10 <br />5358.0 <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 />6389.9 <br />2136,7 <br />30 <br />6090.8 <br />2632.6 <br />20 <br />G889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.8 <br />.2645.5 <br />40 <br />6909:6 <br />3246.5 <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 />67 a1 <br />5437.2 <br />2169.2 <br />94 <br />6144.3 <br />2071,6 <br />101 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <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 />0902.0 <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 />6252.8 <br />2751.3 <br />10?. <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 />5535.4 <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 />2280.6 <br />40 <br />6323.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />50, <br />561.4.2 <br />2292.0 <br />50 <br />6344.8 <br />2819.4 <br />50 <br />7181:7 <br />3457.6 <br />80 <br />5030.5 <br />2303.5 <br />96 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5640.9 <br />2315.3 <br />10 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />56G3.4 <br />2326.G <br />20 <br />6400.8 <br />2SG1.0 <br />20 <br />7246.3 <br />3508.2 ' <br />30 <br />5679.9. <br />'2338.2 <br />30 <br />6419.5 <br />2575.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5696.4 <br />2340.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />23G1.5 <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 />6475.2 <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 />3504.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7377,8 <br />3011.7 <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 />2974.7 <br />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 />81 <br />5530.5 <br />2444.0 <br />98 <br />0597.2 <br />3003.8 <br />105 <br />7467.0 <br />3682.3 <br />10 <br />5817.5 <br />2457,1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />5861.6 <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 />66G9.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2500.1 <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 />Angle Glove 5° 10° 10 20° 25° 30° <br />35° 40° <br />45° <br />50° <br />55° 60° <br />65° 70°. <br />850 T=.33 .66 1.00 1.33 1.68 12.02 <br />2.36 2.70 <br />3.05 <br />3.40 <br />3.77 4.14 <br />4.55 .4.89 <br />E =.129 259 .391 .524 .657 .790 <br />.92G LOG <br />1.20 <br />1.34 <br />1.47 1.62 <br />1.76 1.01 <br />90° T .36 1.09 1.43 1.83 2.20 <br />2.57 2.94 <br />3.32 <br />3.70 <br />4.10 4.50 <br />4.91 5.32 <br />:29,72 <br />E =.149 450 .003 .756 .910 <br />1.07 1.22 <br />1.38 <br />1.54 <br />1.70 L67 <br />2:03 2.20 <br />9So T=.39 .'r9 1.19 1.55 2.00 2.40 <br />2.80 3.20 <br />'3.61 <br />4.02 <br />4.49. 4.98 <br />5.38 5.83 <br />.E=114 .350 :5 .706 .995 1:00 <br />1.25 1.43 <br />1.62 <br />1.80 <br />1.90 218 <br />2.38 2.58 <br />loot T=.43 .86 1.30 1.i4 2.18 ^.62 <br />3.06 3.50 <br />3.95 <br />4.40 <br />4.88 0.37 <br />5.85 6.34 <br />`_ E =,200 .401 .604 .809 1.01 L22 <br />81 <br />1.43 1H3.S4 <br />1.85 <br />2.06 <br />2.29 2.50 <br />2.73 2.98 <br />105° T=,45 .94 142 1.90 2.38 2.87 <br />3.3.1 <br />4.35 <br />4.84 <br />5.35 5.57 <br />6.40 0 03 <br />E -230 470 .700 .038 1.17 1.42 <br />L652.14 <br />5184.5 <br />2.39 <br />2.64 2.90 <br />3.18 3.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. --,� <br />. Chord= 100 ft. <br />Int.Int. <br />Angle <br />Tangent <br />'External <br />Angle <br />Tangent <br />External <br />Int.. <br />Angle <br />Tangent <br />'External <br />65° 70° <br />140°T=.43 <br />. 1.74 <br />.SG 130 <br />2.18 <br />2.02 <br />3.45 3.50 3.95 <br />4.40 <br />4.8"a <br />106° <br />7603.5 <br />3791.0 <br />Iii° <br />8336.7 <br />4386.1 <br />11.6° <br />9169.4 <br />5082.7 <br />101 <br />7620.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />.-10' <br />9199.1 <br />5107.9 <br />. <br />20 <br />7549.7 <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.^ <br />5158.8. <br />40 <br />'7696.3 <br />3865.2 <br />. 40 <br />8441.5 <br />4472.7 <br />40 <br />928!;.': <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 />8404.6 <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 />8545.1 <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 />5313.0! <br />40 <br />7838.1 <br />3979.4 <br />40 <br />8602.1 <br />4600.0- <br />40 <br />9473.2 <br />'5341.5 <br />50 <br />7862,1 <br />3998.7 <br />50 <br />8629.3 <br />4623-.6 <br />50- <br />9504.4 <br />5368.2 <br />108 <br />7856.2 <br />4018,2 <br />113 <br />8656.0 <br />4651.3 <br />US <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />SO&1.0 <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 />9,598.9 <br />5449.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />8730.2 <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 />8008.0 <br />4117.0 <br />.50 <br />8794.9 <br />4766.9 <br />50 <br />9604.7 <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 />887D.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 />5643.5 <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 />81,57.5 <br />4239.0 <br />. 50 <br />8905.0 <br />4909.9. <br />50' <br />9890.8 <br />5700.9 <br />110 <br />8182:5 <br />4259.7 <br />115 <br />6993.8 <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 />4958.0 <br />1.0 <br />9957.5 <br />5755.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />49&3.1 <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 />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />5310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T = Tangent: E =.External.) <br />Angie <br />Chive 5° <br />10° 15° 20° <br />25° <br />30' <br />35' 40° 45' <br />505, <br />Ss° <br />60° <br />65° 70° <br />140°T=.43 <br />. 1.74 <br />.SG 130 <br />2.18 <br />2.02 <br />3.45 3.50 3.95 <br />4.40 <br />4.8"a <br />r 5.37 <br />5.fi5 6.34 <br />E=.240 <br />.401' ,604 .609 1.01 <br />122 <br />1.43 1.64 1.35 <br />2.OG <br />2.231 <br />2.50 <br />2-73 2-96 <br />1.700 1.938 <br />105° <br />R -,230 <br />.470 <br />2 177 <br />1.12 <br />1.65 1.40 2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 3.11 <br />1101 <br />T =,50 <br />1.03 1.55 2.08 <br />".60 <br />3.14 <br />3.66 4.21 4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 7.59 <br />E =.240 <br />.535 .803 1.08 <br />1.3G <br />1.63 <br />1.91 2.19 2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.03 3.93 <br />115° <br />T=.54 . <br />1.13 1I1. 702.29 <br />2.66 <br />3.45 <br />4,03 4.03 5.23. <br />5.33 <br />0.44 <br />7.07 <br />7.70 8.35 <br />E =.307 <br />.6241 .93911.25 <br />1.57 <br />1.89 <br />2.21 2.54 2.37 <br />3.20 <br />3.53 <br />3.88 <br />4.23 4.58 <br />120° <br />T=.61 <br />1.35 1.80 2.52 <br />3.16 <br />3.81 <br />4.44 5.11 5.78 <br />0.44 <br />7.11 <br />7.80 <br />8.51 9.21 <br />E=,330 <br />.720 L08 1.45 <br />1.8'2 <br />220 2.54 2.05 3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 5.32 <br />
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