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VI TABLE I.:-- Tangents and Externals to a 1° -Curve. <br />Chord= 100 ft. <br />Angle <br />- Tangent <br />-" <br />External <br />Int. <br />Angle '. <br />Tangent <br />External <br />Int . <br />Angle <br />Tangent <br />External <br />85° - <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />. 2518.5' <br />99°'+-` <br />6703.6 <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 />2062.5 <br />20 <br />6967.9 <br />2543.5 <br />2Q <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 />6743.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <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 />3168.7 <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 />2619.7 <br />20; <br />6868.8 <br />3215.1 <br />30. <br />5389.9 <br />2136.7 <br />30 <br />G090.8 <br />2632.6 <br />30 <br />6889.2 <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 />3262.3 <br />87-'': <br />5437.2 <br />2169.2 <br />91 <br />6144.3 <br />2671:6 <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 />G971:3 <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 />X40 <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 />SS' ?z <br />5533.1 <br />2235:5 <br />95 ^^; <br />+6252.8 <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 />225S.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 />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 />.,7181.7 <br />3457.6 <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 />5663.4 <br />2326.6 <br />20: <br />6100.8 <br />2861.0 <br />20. <br />7246.3 <br />3508.2 <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 />2361.6 <br />50. <br />'6457.3 <br />2903.1 <br />•-50 <br />7311.7 <br />3559.6 <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 />57.46.3 <br />2385.1 <br />. 10 <br />6495:2 <br />2931.6 <br />10' <br />7355.6 <br />3594.2 <br />i t 20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />C 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 />'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 />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />i 40 <br />5898.8 <br />2493:8 <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 />.GG88.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />r <br />-Corrections to be Added (T = Tangent: E. = External.) <br />'Int: <br />.Angle; <br />.Curve 5° <br />...Curve, <br />10° <br />15° <br />201 <br />25° <br />30° <br />35° <br />40° <br />45° <br />- 50' <br />55° <br />60° <br />65° <br />70° <br />gs? <br />T=.33 <br />.66 <br />1.00 <br />1.33 <br />1.68 <br />2.02 <br />2.362.70 <br />'4407.6 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />20' <br />E =:128. <br />.259 <br />.391 <br />-.524 <br />.6571 <br />.790 <br />.926 <br />1.00 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />11.76 <br />1.91 <br />90° <br />T=.36 <br />.72 <br />1.09 <br />11.45 " <br />1.83 <br />2.20 <br />2.57 <br />2.94 <br />3.32 <br />3.70 <br />4.10 <br />'4.50 <br />-4.91 <br />5.32 <br />50 <br />E=.149 <br />.299 <br />.450 <br />.603 <br />.756 <br />.910 <br />1.07 <br />1.22 <br />1.38 <br />1.54 <br />1.70 <br />1.87 <br />2.03 <br />2.20 <br />95° <br />T=:39 <br />:79 <br />1.19 <br />11.55 <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />3.61 <br />4.02 <br />4.49 <br />4.985.38 <br />9411.3 <br />1.13 <br />? 30 <br />E =.174 <br />.350 <br />.522 <br />.706 <br />.985 <br />1.06 <br />1.25 <br />1.43 <br />1.62 <br />1.80 <br />'1.99 <br />2.18 <br />2.38 <br />2:58 <br />1o° <br />T=.43 <br />.86 <br />1.30 <br />11.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88. <br />5.37.5.85 <br />7886.2 <br />6.34 <br />113 <br />E=.200 <br />-.401 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />.1.64 <br />.1.85 <br />2.06 <br />2:28 <br />2.50 <br />2.73 <br />2.96 <br />105°" <br />T =-46 <br />.94" <br />1.42 <br />11.90 12.38 <br />4697:2 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />30 <br />E=230 <br />.470 <br />.700 .9381.17 <br />7983.5;4097.:1, <br />1.42.1.65 <br />40 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />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 />'Int --- <br />. <br />" Angle <br />- g <br />Tan ent <br />External <br />Int. <br />Angle <br />Tangent <br />- <br />External <br />106?r' <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 />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• i <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 />3921.9 <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 />8602.1 <br />4606.0 <br />40 <br />9473.2 <br />5341.5 <br />-50 <br />7862.1 <br />3998.7 <br />50 <br />8629.3 <br />4628:G. <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 />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 />9598.0 <br />5449.2 <br />30, <br />7959.0 <br />4077.2', <br />30 <br />.8739.2 <br />4720.3 <br />30 <br />0630.7 <br />5476.5 <br />C. 40 <br />7983.5;4097.:1, <br />40 <br />8767.0. <br />4743.6 <br />40 <br />0662.6 <br />5504.0 <br />50. <br />8008.0_ <br />'41'17.0 <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 />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 />8879.3 <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 />5643.8 <br />'40 <br />8132.3 <br />4218.4 <br />.40 <br />8936.3 <br />4885.7 <br />40 <br />98.57.7- <br />5672.3 <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 />5758.6 <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 />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 />8310.8 <br />4364.8 <br />50 <br />0139.8 <br />5057..6 <br />50 <br />10093.0 <br />5876:1 <br />Corrections to be Added (T =Tangent. E=External.) <br />Int. <br />Angle <br />Curve 5° 10°. <br />15° <br />20" <br />25° <br />30° <br />35° <br />40° 4;° <br />50° <br />55° <br />60° <br />65° <br />70° <br />100° <br />T=.43 .86 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />E =.200 .401 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.9G <br />105° <br />T=.46 .94 <br />1.42 <br />1:40 <br />2.38 <br />2.87. <br />3.34 <br />3.84 4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />E=.230. .470 <br />.700 <br />.938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />110° <br />T=.50 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 />5.86 <br />6.43 <br />7.01 <br />7.59 <br />E =.260 .535 <br />-.808 <br />1.08 <br />1:36 <br />1.63 <br />1.91 <br />2.19 2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />115°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 />6.44 <br />7.07 <br />7 <br />8.35 <br />E=.307 .624 <br />.939 <br />1.28 <br />1.57 <br />1.89" <br />2.21 <br />2.54 2.87 <br />3.20 <br />3.53 <br />3.88 <br />4..70 23 <br />4.58 <br />120?.T=.61 <br />1.25 <br />1.89 <br />12.52 <br />3.16 <br />3.81 <br />4.44 <br />5.11 5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />U,339 .720 <br />1:08 <br />1.45 <br />1.82 <br />2.20 <br />1219 <br />2.95 3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />