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11 <br />VI TABLE L'= Tangents and Externals.f6 a-1° Curve. <br />Chord=100 ft: <br />. Int. <br />Angle <br />Tangent <br />External <br />Int' <br />Angle <br />Tangent <br />External <br />Int' <br />Angle <br />Tangent <br />External <br />45' <br />5250:3 <br />2041:7 <br />92° <br />5933:2 <br />2518.5 <br />99' : <br />-G708.6 <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 />5967.9 <br />2543.5 <br />-•120 <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 />2083.5 <br />4'0 <br />-65002.7 <br />2563.6 <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 />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 />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 />6090.8 <br />2632.6 <br />30 <br />6889;2 <br />3230.3 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.6 <br />2645.5 <br />40 <br />16909.6 <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 />'94' <br />6144.3 <br />2671.6 <br />1011 • <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 />5169.0 <br />2191.1 <br />20 <br />6180.2 <br />2607.9 <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 />6234.6 <br />2737.9 <br />-' 50 <br />'7054.5 <br />3358.5 <br />:BS ' <br />5533.11 <br />2235:5 <br />95 - <br />6252:8 <br />2751:3 <br />102 <br />7075.5 <br />3374.0 <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 />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 />3124.3 <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 />:89.5 <br />5630 <br />2303.5 <br />96 <br />6363.4 <br />2333.2 <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 />0119.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5696.4. <br />2349.8 <br />40 <br />'6433:4 <br />2839.0 <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 />90 <br />.5729.7 <br />2373.3, <br />.97 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />357G.8 <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 />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />,5779.9. <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 />2420.0 <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 />24449 <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 />3713.2 <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 />6669.2 <br />3062.8 <br />40 <br />.7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <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 />Int. <br />Anglo <br />Curve 5° <br />10° <br />•15°' <br />20° <br />25° <br />•30° <br />35' <br />40' <br />45' <br />50° <br />55° <br />60° <br />65° <br />'70° <br />85°- <br />T=.33 <br />.66 <br />1.00 <br />1.33 <br />1.68 <br />2.02: <br />2.362.70 <br />.4107.6 <br />3.05 <br />3.40 <br />3.77 <br />4:14 <br />4.55 <br />4.80 <br />20 <br />E=. 128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.92611.06 <br />3846.5 <br />1.20 <br />'1.34 <br />1.47 <br />4:G2' <br />1.76 <br />1.91 <br />90° . <br />T=:36 <br />.72' <br />1.09 <br />1.45 <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 />1.55 <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />3.61 <br />11.62 <br />4.02 <br />4.49 <br />4.98 <br />5. 38 <br />5.83 <br />30,= <br />E =.174 <br />.350 <br />.522 <br />.706 <br />.985 <br />1.06 <br />1,25' <br />1.43 <br />40 <br />1.80 <br />1.99 <br />2.18. <br />2.38 <br />2.58 <br />100° <br />T=.43 <br />.86 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 <br />13.50 <br />13.05 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />1131' <br />E =.200 <br />.401 <br />.601 <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 />IT=.46 <br />.04 <br />1.42 <br />1.00 <br />2.38 <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 />8.93 <br />30i <br />E =.230 <br />.470 <br />.700 <br />038 <br />1:17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />2.39-2 <br />.64 <br />2.90 <br />3.16 <br />3.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. V-11 <br />Chord =160 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 />106° <br />7603.5, <br />3791:0 <br />111° <br />8336.7 <br />4386.1' <br />116° - <br />9169.4 <br />-5082:1 <br />•10' <br />7626.6 <br />3809.4 <br />10'' <br />8362.7 <br />.4107.6 <br />101, <br />9199.1, <br />5107.9 <br />..20 <br />7649.7 <br />3327.9 <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 />73865.2, <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'.117' <br />3.41 <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 />.7.59 <br />20 <br />8548.'1 <br />4561:1 <br />20 <br />9411:3 <br />5288.6 <br />30,= <br />7314.3' <br />,3940.9 <br />3960. <br />30. <br />8575.0 <br />4583.4 <br />30. <br />.1 <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 />399S.7 <br />50 <br />8629.3- <br />4628.A' <br />50 <br />9504.4 <br />5368.2 <br />308 ' <br />7886:2 <br />4018:2 <br />1131' <br />8656.6 <br />4651.3'•118. <br />. <br />9535:7 <br />5395}1 <br />10' <br />7910.4 <br />4037.8 <br />10 <br />868410 <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 />8730.2: <br />4720.3 <br />30i <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 />8003.0 <br />4137.0 <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 />AID <br />8936.3 <br />4885.7 <br />40.•. <br />9857:7" <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 />-0022.7 <br />4958.6 <br />-10 <br />9957.5_, <br />5758.6 <br />20' <br />3233.7 <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 />9080:0 <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::'43G4.8' <br />50 <br />9139.8 <br />'5057.6 <br />50 <br />10093.0 <br />5376.1 <br />Corrections to be Added (T Tangent. E= External; .) <br />Int: <br />Angle <br />Curve 5° <br />10°: <br />15° 29° <br />25° <br />30° <br />35° <br />40° <br />'45° <br />50° <br />55° <br />60° <br />65° <br />70 <br />,. <br />100°', <br />' T=.43 <br />:86 <br />1.30 1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />'.E=.200 <br />.•.401 <br />.601 .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 1.00 <br />2.38 <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 />E=.230. <br />-.470 <br />.700 .938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />110o . <br />T=.50 <br />1.03 <br />1.55 2.08 <br />2.60 <br />3.14. <br />3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 <br />.7.59 <br />E=.260 <br />.535 <br />.808 1.08' <br />1.36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />115° <br />"'T=.54 <br />1.13 <br />1.70 2.29 <br />2.86 <br />3.45 <br />4.03 <br />14.63 <br />5.23 <br />5.83 <br />6.44 <br />7:07 <br />17.70 <br />8.35 <br />E=.307 <br />.624 <br />.939 1.26 <br />1.57 <br />1.89 <br />2.21 <br />12.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.58 <br />120°: <br />T=.61, <br />1.25 • <br />1.89 2.52 <br />3.16 <br />3.81 <br />4.44 <br />5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />E=.339 <br />.720 <br />1.09 1.45 <br />1.62 <br />2 �0 <br />2.66 <br />2.95 <br />3.33' <br />3.72 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />