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VI TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord=100 it. . <br />Int. <br />Angle <br />Tangent <br />-I External <br />Int. .• <br />Angle <br />Tanaentl <br />External <br />Ainglc <br />I Tangent <br />{ <br />External <br />85° <br />5250.3 <br />2041.7 <br />R92° <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 />2002.5 <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 />5311.9 <br />2053.5 <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 />3163.7 <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 />2G19:7 <br />120 <br />6868.8 <br />3215.1 <br />.30 <br />5389.9 <br />2136.7 <br />;':80. <br />6090.8 <br />2632.6 <br />30 <br />6SS9.2 <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 />3246.5 <br />50 <br />5421.4 <br />2158,4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />32612,3 <br />87, <br />5137.2 <br />'2169.2 <br />94 <br />6144.3 <br />2G71.6 <br />101 '' <br />6950.6 <br />3275.1 <br />10 <br />545'3.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />:20 <br />54619.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />6992.0 <br />3:310.1 <br />30 <br />5434.9 <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 />7033.0 <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 />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 />6289.4 <br />2778.3 <br />.10 <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 />6326.3 <br />2805,.6 <br />40 <br />7160.3 <br />3440.9 <br />60 <br />5614.2 <br />2292.0 <br />50 <br />6344,8- <br />2819.4 <br />50 <br />7181.7 <br />3457.6 <br />69 <br />5630,5 <br />2303.5 <br />'96 .,- <br />6363.4 <br />2533.2 <br />1103 ' <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 />3491.3 <br />20 <br />5663:4 <br />2326.0 <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 />G419.5 <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 />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />2361.5 <br />' 00 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />3559.6 <br />80 <br />6729.7 <br />2373.3 <br />9'7 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2355.1 <br />10 ' <br />6495.2 <br />2931.0 <br />10 <br />7355.6 <br />3504,2 <br />'20' <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.0 <br />2405.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />5790.7 <br />2420.0 <br />40 <br />6552.6 <br />2974.7 <br />.40 <br />7422.2 <br />3646.8 <br />60 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />29SO.2 <br />50 <br />7444.6 <br />3661.5 <br />81 <br />5830.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3GS2.3 <br />30 <br />5847.5 <br />2457.1 <br />a 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 />, <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 />6069.2 <br />3062,8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />6638.8 <br />3077.7 <br />50 1 <br />7550.5 <br />3772.6 <br />Corrections to be Added (7= Tangent. E. = External.) <br />Int. <br />Angle Curve 5° <br />10°' <br />15°. 20° <br />25° <br />30°;:,35° <br />External <br />,40° 45° 1 50° <br />55° 60° <br />65° <br />70° <br />S5°• T=.33 <br />•.66 <br />1.00 1.33 • <br />1.68 <br />2.02 <br />2.36 <br />2.70 3.05 3.40 <br />3.77 4.14 <br />4.55 <br />4.89 <br />E =,128 ' <br />.259 <br />.391 .524 <br />.657 <br />.790 <br />.926 <br />1.06 1.20 1.34 <br />1.47 1.62 <br />1.76 <br />1.91 <br />90° T=.36 <br />•.72 <br />1.09 1.45 <br />1.83 <br />2.20 <br />5133.3 <br />4 3.32 3.70 <br />4.10 4.50 <br />4.91 <br />5.32 <br />E=,149 <br />,209 <br />A50 .603 <br />.756 <br />.910 <br />40 <br />2 1.54 <br />1.70 1.87 <br />2.03' <br />220 <br />95° T=.39 <br />.79 <br />1.19 1.55 <br />2.00 <br />2.40 <br />7719.7 <br />.1.38 <br />0 3.61 4.02 <br />4.49 4.98 <br />5.38 <br />5.83 <br />E =.174 <br />.350 <br />.522 :700 <br />.985 <br />1.06 <br />3902.9 <br />3 11.62 1.80 <br />1.99 2.18 <br />2.38 <br />2.58 <br />100° T=,43 <br />86 <br />1.30 1,74 <br />2.16 <br />2.62 <br />10 <br />0 3.05 4.40 <br />*34� <br />4.83 5.37 <br />5.85 <br />6.34 <br />E=.200 <br />.401 <br />.604 .809 <br />1.01 <br />1.22 <br />8545.1 <br />1.85 2.08 <br />2.23 `1.50 <br />2.73 <br />2.96 <br />105° T=•40 <br />.04 <br />1.42 1.00 <br />2.33 <br />2,87 <br />4593.4 <br />4 4.35 4.34 <br />5.35 5.87 <br />6.40 <br />6.03 <br />E=.230 <br />.470 <br />.700 J3811.17 <br />11.42 <br />460G.0 <br />40 <br />0 2.14 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 />Angle <br />Tangent <br />External <br />Int. <br />Angle ( <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />1OG° <br />7G03.5' <br />3791.0 <br />111° <br />8336.7 14356.1 <br />.116° <br />9169.4 <br />5082.7 <br />10' <br />7620.6 <br />3809.4 <br />10' <br />8362.7 1 <br />4407.6 <br />10P <br />9199:1 <br />5107.9 <br />20 <br />7649.7 <br />3827.9 <br />120 <br />83S8.9 <br />4429.2 <br />20* <br />9229.0 <br />5133.3 <br />30 <br />7672.9 <br />384G.5' <br />30 <br />8415:1 <br />4450.9 <br />30 <br />9259:0 <br />5159.8 <br />40 <br />7696.3 <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 />3884.0 <br />50 <br />8405.0 <br />4494.6 <br />50 <br />9319.5 <br />5210.3 <br />107 <br />7743.2 <br />3902.9 <br />112 <br />5494.0 <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 />453S.8 <br />10 <br />9350.5 <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 />5575.0 <br />4593.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7838.1 <br />3979.4 <br />40 <br />8602.1' <br />460G.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 />53GS.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8G56.6 <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />10' <br />7910.4 <br />4037.8 <br />10 <br />868.1.0 <br />4674.2. <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7934:6 <br />4057.4 <br />20 <br />5711.5 <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 />8008.0 <br />4117.0 <br />50 <br />8794.9 <br />'4766.9 <br />50 <br />'9694.7 <br />5531.7 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />8522.9 <br />4790.4 <br />119 <br />9727.0 <br />5$59.4 <br />' <br />10 <br />8057.4'. <br />4157.3 <br />10 <br />8851.0 <br />4814.1 <br />10, <br />9759.4 <br />5557.4 <br />20 <br />8082.3 <br />4177.5' <br />20 <br />SS79.3 <br />4537.8 <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 />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4SS5.7• <br />40 <br />0857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9390.8 <br />57W.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.5 <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 />9051.7 <br />4983.1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />5259.3 <br />4322.4 <br />30 <br />9080.9 <br />5007.8 <br />30 <br />10025.0 <br />6817.0 <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 />9139.3 <br />5057..6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T =Tangent. E =External.) <br />Curve 5 ° 10° 15° <br />20° 25°. 30° <br />35° 40° <br />45° 50° <br />55° <br />60° <br />65° <br />70° <br />Angle <br />T=.43 1.30 <br />1.74 2.18 2.62 <br />3.06 3.50 <br />3.05 4.40 <br />4,85 <br />5.37 <br />5.55 <br />6.34 <br />.86 <br />100° ,. E=.200 .401 .661 <br />.809 1.01 1.22 <br />1.43 11.64 <br />1.85 2.06 <br />2.25 <br />2.50 <br />2.4-3 <br />2.96 <br />T=.46 .94 1.42 <br />1.90 2.33 2.87 <br />3.34 3.84 <br />4.35 4.84 <br />5.35 <br />5.87 <br />GAO <br />6.93 <br />105°. E =.230 .470 .700 <br />.938 1.17 1.42 <br />1.65 1.90 <br />2.14 2.39 <br />2.63 <br />2.W <br />3.1fi <br />3.41 <br />T=.50 1.03 1.55 <br />2.05 2.60 3.14 <br />3.66 4.21 <br />4.76 5.31 <br />5.86 <br />6.43 <br />7.01 <br />7 .59 <br />110° <br />E=•260 .535 .608 <br />1.05 1.36 1.63 <br />1.91 2.19 <br />2.49 2.61 <br />3.05 <br />3.35 <br />3.65 <br />13.95 <br />115° T=.54 1.13 11.70 <br />2.29 2.66 3.45 <br />4.03 4.G3 <br />5.23 5.83 <br />6.44 <br />7.07 <br />7.70 <br />8.35 <br />E=.307 .024 .939 <br />1.26 1.57 1.89 <br />2.21 2.54 <br />2.871 3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.53 <br />T=.61 1.25 1.89 <br />2.52 3.16 3.81 <br />4.44 5.11 <br />5.73 6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />1201 E=,339 .72011.08 <br />1.45 1.82 2.20 <br />2.56 2.95 <br />3.33 3.72 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />