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VI TABLE 1. - Tangents and Externals to a 1° Curve. <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />ExternalAnse <br />35° <br />Tangent <br />ExternalAngle <br />I <br />60" <br />Tangent <br />External <br />85° <br />5250.3 <br />2011.7 <br />92° <br />5933.2 <br />2518.5 <br />991 <br />6708.6 <br />3092.7 <br />10' <br />565.6 <br />2052.1 <br />10' <br />.950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />20 <br />528 1. 0 <br />2062.5 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />6748.2 <br />3122.0 <br />30 <br />529G.4 <br />2073.0 <br />30 <br />5985.3 <br />255G.0 <br />30 <br />67618.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />G002.7 <br />2568.G <br />40 <br />G783.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />G020.2 <br />2531.3 <br />50 <br />6803.2 <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 />2116.3 <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 />2610.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6,090.8 <br />2632.6 <br />30 <br />6389.2 <br />3230.8 <br />40 <br />5105.6 <br />2147.5 <br />40 <br />610S.6 <br />2645.5 <br />40 <br />6900.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />53 <br />6126.4 <br />2653.5 <br />50 <br />6930.1 <br />3"_02.3 <br />87 <br />;x137.2 <br />21G9.2 <br />94 <br />6194.3 <br />2671.6 <br />101 <br />6950.6 <br />3273.1 <br />10 <br />5153.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />6150.2 <br />2697.9 <br />20 <br />G992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />G198.3 <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 />2721.5 <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 />109 <br />6032.7 <br />4137.1 <br />! <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 />88 <br />5533.1 <br />2235.5 <br />95 <br />62,2.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5549.2 <br />2240.7 <br />i 10 <br />6271.1 <br />2761.8 <br />10 <br />7MC,,6 <br />3391.2 <br />20 <br />5565.4 <br />2959.0 <br />/ 20 <br />6259.4 <br />2778.3 <br />'20 <br />7117.8 <br />3407.7 <br />30 <br />5581.6 <br />2369.3 <br />30 <br />6307.9 <br />2792.0 <br />30 <br />7139.0! <br />3424.3 <br />40 <br />5597.8 <br />2280.0 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />7169.3 <br />3140.9 <br />505614.2 <br />8208.2 <br />2292.0 <br />30 <br />6344.8 <br />2810.4 <br />50 <br />71.81.7 <br />3157.6 <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 />6646.9 <br />2315.0 <br />10 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5363.4 <br />232G.G <br />20 <br />GIUU.8 <br />2361.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6119.5 <br />2$75.0 <br />30 <br />7265.0 <br />3325.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6135.4 <br />2859.0 <br />40 <br />7_^80.8 <br />3.512.4 <br />50 <br />5713.0 <br />2361.5 <br />50 <br />G457.3 <br />2903.1 <br />50 <br />7311.7 <br />3559.6 <br />00 <br />5729.7 <br />2373.3 <br />97 <br />6176.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2385:1 <br />10 <br />6195.2 <br />2931.6 <br />10 <br />7355.0 <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 />24US.9 <br />30 <br />6:533.4 <br />2960.3 <br />30 <br />7399.9 <br />3G29.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3G4G.S <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.0 <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 />2181.5 <br />30 <br />6649.6 <br />3017.0 <br />30 <br />7534.9 <br />3730.2 <br />40 <br />5S93.8 <br />2193.8 <br />40 <br />6669.2 <br />3062.5 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />6GSS.S <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T =Tangent. E. =External.) <br />Inti <br />Angle <br />Curve 5° <br />10° 15° 20° 25° 30° <br />35° <br />40° 45° <br />50° 55° <br />60" <br />65° .70° <br />855 <br />T=.33 <br />.66 1.00 1.33 1.68 2.01 <br />2.30 <br />2.70 3.05 <br />11.20 <br />3.40 3.77 <br />11.47 <br />4.14 <br />4.55 4.89 <br />9169.4 <br />E =.128 <br />.259 .391 .524 .657 .790 <br />.92611.06 <br />3809.4 <br />1.34 <br />1.62 <br />1.16 1.91 <br />90° <br />1T =.36 <br />.72 1.09 1.45 1.83 2.20 <br />2.57 <br />2.94 3.33 13.70 <br />4.50 <br />5.32 <br />8388.9 <br />1:=.149 <br />.290 .450 .603 .158.910 <br />1.07 <br />1.22 1.38 <br />19.10 <br />1.54 1.70 <br />187 <br />14.91 <br />2.03 2.20 <br />95° <br />1T=:39 <br />.79 1.19 11.55 2.00 2.40 <br />2.80 <br />3.20 13.61 <br />11:8102 14.99 <br />4.98 <br />5 38 5.83 <br />3865.2 <br />1: =.174 t <br />.350 .522 .706 .985 1.06 <br />1.23 <br />1.43 1.62 <br />1.80 1.99 <br />2.18 <br />12.38 12.58 <br />190° <br />7'-.43 <br />1 <br />.86 1.30 1.74 2.18 2.82 <br />3.00 <br />3.50 3.9,1 4.40 4.88 <br />11.61 1 <br />5.37 <br />5.85 8.34 <br />5210.3 <br />li ='200 <br />.401 .601 .S09 1.01 1.22 <br />1.43 <br />1.85 <br />2.06 2.28 <br />2.50 <br />12.73 12.96 <br />105° <br />T=.46 ' <br />.94 1.42 1.90 2.38 2.87 <br />3.34 <br />3.84 <br />4.84 5.35 <br />5.87 <br />6.40 8.93 <br />10 <br />1 =.230 <br />470 .i CO .938 1.17 1.42 <br />1.65 <br />14.35 <br />I.;O 2.11 2.39 2.64 <br />2.00 <br />3.18 3.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angl e <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 />4107.6 <br />I(y <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 />0229.0 <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 />3921.0 <br />10 <br />8521.3 <br />4538.8 <br />10 <br />9380.5 <br />5262.3 <br />20 <br />7790.5 <br />3940.0 <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 />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40. <br />7838.1 <br />3979.4 <br />40 <br />8602.1 <br />4 606. 0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7862.1 <br />3903.7 <br />50 <br />8629.3 <br />462S.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.G <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 />40 <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 />6032.7 <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 />5082:3 <br />4177.5, <br />20 <br />8879.3 <br />4837.5 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />5107.3 <br />4107.9 <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. <br />50. <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <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 />8208.2 <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 />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 />9080.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.6 <br />.40 <br />0110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />43G4.8 <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 />an <br />Curve 5° <br />10° <br />15° 1 <br />201* 1 25° <br />30° <br />35° <br />40° 45° <br />50° 55° 60° <br />65° 700 <br />Angle <br />1.601 <br />11 <br />1.809 12 <br />211 <br />3.038 <br />100° <br />B .200 <br />.401 <br />1.01 <br />1.22 <br />1.411 <br />1.64 1.85 <br />2.06 2.28 2.50 <br />2.73 2.90 <br />94 470 <br />1.7 <br />1.923811-17 <br />105° <br />E _,230 <br />.46 <br />00 <br />142 <br />1.65 <br />1.90 2.14 <br />2.39 2.64 2.90 <br />3.16 3.41 <br />T=.50 <br />" 3 <br />1.55 <br />2.08 2.60 <br />3.14 <br />3.68 <br />4.21 4.76 <br />5.31 5.88 6.43 <br />7.01 7.50 <br />110° <br />E =.260 <br />.535 <br />.808 <br />1.08 1.36 <br />1.63 <br />1.91 <br />2.19 2.49 <br />2.61 3.05 3.35 <br />3.65 3.95 <br />T=.54 <br />1.13 <br />1.70 <br />2.29 2.88 <br />3.45 <br />4.63 5.23 <br />7. <br />5.83 8.94 07 <br />7.75 s.aa <br />115° <br />E =.307 <br />.624 <br />.939 <br />1.20 1.57 <br />1.80 <br />2.03 <br />2.21 <br />2.54 2.87 <br />3.20 8.53 3.88 <br />4.23 4.58 <br />T=.61 <br />1.25 <br />1.89 <br />2.52 3.16 <br />3.81 <br />4.4.4 <br />5.11 5.78 <br />8.44 7.11 7.80 <br />8.51 9.21 <br />120° <br />B-.339 <br />.720 <br />1.C3 <br />1.45 1.82 <br />2.20 <br />2.:6 <br />2.95 3.33 <br />3.72 4.10 4.50 <br />4.91 632 <br />