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V1 TA1iLE -1. - Tangents and Ei-tern,,LN to a 1° Curvy. <br />anord=100 ft. <br />Int. <br />Angle <br />Tangent <br />S <br />Lctenlal <br />Int <br />Angle <br />Tangent <br />],xternal <br />Int. <br />Angle <br />Tangent <br />1? eternal <br />85° <br />.5250.3 <br />2011.7 <br />92° <br />5033.2 <br />2518.5 <br />09° <br />6708.6 <br />3092.,7 <br />ID' <br />52G5.6 <br />2052.1 <br />10' <br />5050.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />.20 <br />:7281.0 <br />20G2.5 <br />20 <br />5967.9 <br />2543.5 <br />2U <br />6748.2 <br />3122.9 <br />30 <br />529 G.4 <br />2073.0 <br />30 <br />5085.3 <br />255(3.0 <br />30 <br />6768.1 <br />3138.1 <br />40 <br />5311.9' <br />2083,5 <br />40 <br />6002:7 <br />2:568.6 <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 />G808.2 <br />3168.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />0037.8 <br />2594.0 <br />100 <br />6828.3 <br />3184.1 <br />1.0 <br />5358.6 <br />21t5.3 <br />10 <br />6055.4 <br />2600.8 <br />10 <br />6848.5 <br />3190,E <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 />5389.9 <br />21361.7 <br />30 <br />0090.8 <br />2632.G <br />30 <br />6389.2 <br />3230.3 <br />40 <br />5105.6 <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 />5J <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 />GL -14.3 <br />2071.6 <br />161 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2150.2 <br />. 10 <br />'6102.6 <br />2G84.7 <br />_- 10 <br />6971.3 <br />T294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />G180.2 <br />2697.0 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <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 />G231.6 <br />2737.9 <br />50 <br />7054.5 <br />3358.5 <br />88' <br />5535.1. <br />2235.5 <br />95 <br />6252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />,^.10 <br />5540.2 <br />224 6. 7 <br />1,10 <br />6271.1 <br />2764.8 <br />10 <br />7096.6 <br />3391.2 <br />20 <br />5565.4 <br />2258.0 - <br />_I. 20 <br />62S9.4 <br />2778.3 <br />20 <br />7117.8 <br />3107.7 <br />30 <br />40 <br />;SSl.6 <br />5597.8 <br />2269. 3: <br />'2280.6 <br />r 30 <br />/. 40 <br />0307.9 <br />6326.3 <br />2792.0 <br />2805.G <br />30 <br />40 <br />7139.0 <br />7160.3 <br />3424:3 <br />3140.9 <br />50 <br />5614.2 <br />2292.0 <br />LU <br />0344.8 <br />2819.4 <br />50 <br />71S1.7, <br />i <br />3157.6 <br />80 <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 />2715.0 <br />10 <br />6382.1 <br />28.17.0 <br />10 <br />7224.7 <br />3491.3 <br />2U <br />5363.4 <br />2320.0 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7246.3 <br />3:103.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />611.9.5 <br />2875.0 <br />30 <br />7268.0 <br />3325.2 <br />40 <br />'5696.4 <br />2349.8 <br />40 <br />(3438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />2361,5 <br />S0 <br />6457.3 <br />29113.1 <br />50 <br />731 L.7 <br />3350.6 <br />90 <br />5729.7 <br />2373:3 <br />97 <br />6476.2 <br />2917.3 <br />101 <br />7333.6 <br />357G.9 <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 />5 76 3. 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 />(3,133.4 <br />2960.3 <br />30 <br />7399.9 <br />3620.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3346.8 <br />50 <br />5813.0 <br />2432.9 <br />50 <br />6371.9 <br />2989.2 <br />50 <br />7444.G <br />36G4.5 <br />81 <br />5830.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7407.0 <br />.3682.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4- <br />10 <br />748J.6 <br />3700.2 <br />20 <br />5864-6 <br />2469.3 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7:312.2 <br />3718.2 <br />30' <br />.5381.7 <br />2481.5 <br />-30 <br />6649.6 <br />3047.9 <br />30 <br />753-1.9 <br />3730.2 <br />40 <br />5593.8 <br />2493.8 <br />40 <br />GGG9.2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />250G.1 <br />56 <br />6688.5 <br />3077.7 <br />50 <br />73S0.5 <br />3772.6 <br />Corrections to be Added (T=Tangent. E. = External.) <br />Iat. <br />Tangent <br />External <br />Angle , •Tangent- <br />`70' <br />Curve 5° '10° <br />15° <br />20° 25` 30° <br />35° <br />40° 45° 50° 55°- <br />60° 65° <br />85' T=.33 .66 <br />1.00 <br />1.33 1.68 2.02 <br />2.3G <br />12.70 1 3.05 3.40 3.77 <br />4.14 4,55 4.89 <br />E=.128 .259 <br />•391 <br />.524 .657 .790 <br />.92G <br />1.06 11.20 1.34 1.47 <br />1.G2 .1.76 1.91 <br />4U" 1T=.36. .72 <br />1.09 <br />1.45 11.83 2.20 <br />2-5712-9413.3213.7014.10 <br />7649.7 <br />4.50 4:91 5.32 <br />F=_149 .299 <br />.450 <br />.603 .758 .910 <br />1.07 <br />1.22 11.38 1.54 1.10 <br />1.87 ,2.03 12.20 <br />T=.39 .79 <br />1.11) <br />11.55 2.00 2.40 <br />2.80 <br />3.20 13.61 4.02 4.49 <br />4.98 5.38 p6-83 <br />-93. <br />1:174 .350 <br />.522! <br />.706 .985 1.00 <br />1.25 <br />1.43 L62 1.80 1.09 <br />2.18 12.38 12.58 <br />170° T=.43 .86 <br />1,30 <br />11.74 2.18 2.62 <br />3-06 <br />13.50 13.95 460 4.88 <br />5'.37 5.85 16.34 <br />=.2CO3 401 <br />.601 <br />.809 1.01 1.22 <br />1.43 <br />1.61. 1.85 2.06 2.26 <br />2.�0 2.73 2.96 <br />]O5� T =.46 ( 94 <br />1.42 <br />I.00 12.38 12.87 <br />3.34 <br />3.84 14 35 4.64 5.35 <br />5.87 6.40 6.93 <br />E =.230 .4"Q <br />,700 <br />.038 1.17 L42 <br />1.85 <br />1 0-12.L1 2.39 2.64 <br />2.90 3:16 3.41 <br />TABLE 1. -- Tangents and Externals to a-1' Curve. VII <br />Chord` 100ft. <br />Angle <br />Tangent <br />External <br />Angle , •Tangent- <br />Eateraal <br />'Angle' <br />Tangent <br />External <br />106° <br />7603-.5 <br />3791,01 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />9169.4. <br />5082.7 <br />10' <br />7626.6 <br />38094 <br />1- <br />0' <br />8362.7 <br />4407.6 <br />1D' <br />9199.1="5107.0 <br />20 <br />7649.7 <br />3827..9 <br />20 <br />8388.9 <br />.4429.2 <br />20 <br />9229.0 .5133.3 <br />4.40 <br />30 <br />b.85 <br />3846.5 <br />30 <br />8415.1 <br />4450,9: <br />30 <br />9259.0 <br />'9289.2 <br />5158.8 <br />;40. <br />..7G72:9 <br />7696.3 <br />3865.2 <br />_ 40 <br />8441.5 <br />4472.7 <br />-4494.0 <br />- 40 <br />9319.5`5210.3 <br />'5184.5 <br />50•. <br />7719.7 <br />3884.0 <br />50 <br />8468.0 <br />3.34 <br />50 <br />4.84 <br />5.35 5.87 <br />167 <br />7743.2 <br />3902.9 <br />.112 <br />8494.6 <br />4016.6 <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 />4583.4 <br />30. <br />9442.2 <br />5315.0 <br />40 <br />7838.1. <br />3979.4 <br />40 <br />.8002:1 <br />4000.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7862.1 <br />3998.7 <br />5D. <br />'8629.3 <br />4G28.6 <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 />S684.0 <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 />5739.2 <br />'4720.3 <br />30 <br />9630.7 <br />5476.5 <br />40 <br />7953.5 <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 />411.7.0 <br />50 <br />8794.0 <br />4766.9 <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 />81157.4. <br />4157.3 <br />10 <br />8851.0 <br />4814-.1 <br />10 <br />9759.4 <br />5567.4' <br />20 <br />8052.3 <br />4177.5 <br />20 • <br />'8870.3 <br />.4837.8 <br />20 <br />9792.0' <br />5615.5 <br />30 <br />St07.3 <br />4197.9,. <br />30 <br />8907.7 <br />4861.7 <br />30.. <br />40 <br />9824.8 <br />9857.7 <br />5643.8 <br />5672.-- <br />40 <br />S132.3 <br />4213.4 <br />4239.0 <br />40 <br />50 <br />8936:3 <br />4885.7 <br />4909.9 <br />50 <br />9890.8 <br />5700.9 <br />50 <br />8157.5 <br />,8065.0 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />6993.8 <br />4934.1" <br />IN <br />9924.0 <br />5729.7 <br />5758.6 <br />10 <br />8208.2 <br />.4280.5 <br />10 <br />9022.7 <br />4958.,6 <br />10 <br />20. <br />9957.5 <br />9991.9 <br />5787.7 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />30 <br />9051.7 <br />9080.9 <br />4983,1 <br />5007.8 <br />30 .10025.0 <br />5817.0 <br />30 <br />40 <br />6259.3 <br />8285.0 <br />4322.4 <br />4343:6 <br />40 <br />9110.3 <br />5032.6 <br />_40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />'9139.8 <br />5057.6 <br />v0 ' <br />10003.0 <br />5376.1" <br />Corrections to be Added (T = Tangent. E = External.) <br />int. <br />Curve 5° <br />10° <br />15° <br />30° <br />351 <br />40° 45° <br />50° <br />55. 601 <br />651 <br />70° <br />Angle <br />T=.43 <br />1.30 <br />T142..� <br />2.G2 <br />3.06 <br />3.50 3.95 <br />4.40 <br />4.88 537 <br />b.85 <br />6.34 <br />1�,. <br />E =.200 <br />.88 <br />.401 <br />:6041.22 <br />1.43 <br />MA 1.85 <br />2.00 <br />2.28 2.60 <br />2.73 <br />2.95 <br />.94 <br />1.42 <br />2.87 <br />3.34 <br />3.84 4.35 <br />4.84 <br />5.35 5.87 <br />6.40 <br />6.93 <br />105°T=.46 <br />E =.230 <br />.470 <br />.700 <br />1.42 <br />1.65 <br />1.90 2.14 <br />2.39 <br />2.64 2.90 <br />3.15 <br />8.41 <br />T=.50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66" <br />4.21 4.76 <br />5.31 <br />5.85 8.43 <br />7.01 <br />3.65 <br />7.59 <br />3.95 <br />110° <br />E=.260 <br />.535 <br />608 <br />1.08 <br />1.86 <br />1.63 <br />1.91 <br />2.19 2.49 <br />2.61 <br />3.0.5 3.35 <br />T=.54 <br />1.13 <br />1.70 <br />2.29 <br />2.86 <br />3.45 <br />4.03 <br />4.63 5.23 <br />5.83 <br />0.44 7.07 <br />7.70 <br />8.35 <br />115° <br />E =.307 <br />.624 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 <br />2.54 2.87 <br />3.20 <br />8.53 3.88 <br />4.23 <br />4.b8 <br />129° <br />T It <br />1.25 <br />1.89 <br />2.52 <br />3.16 <br />1.82 <br />3.81 <br />2.20 <br />4.44 <br />21G <br />5.11 5.78 <br />2.95 3.33 <br />6-44 <br />3.72 <br />7.11 7.80 <br />4.10 4.50 <br />8.81 <br />4.91 <br />0.21 <br />5.87 <br />r -.3 30 <br />.720 <br />1.03 <br />1.45 <br />