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V1 TABLE 1. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />Extemal <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 />5033.2 <br />2518.5 <br />99° <br />6i08:6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />10' <br />;1950.5 <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 />20 <br />'674 S.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 />3135:1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />67SS.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />.2581.3 <br />50 <br />GSOS.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 />2606.3 ' <br />10 <br />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />G073.1 <br />2619.7 <br />20 <br />6868.8 <br />3213.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />G090.8 <br />2632.6 <br />_ 30 <br />6839.2 <br />3230.8 <br />40 <br />5405.6 <br />2117.5 <br />40 <br />6108.6 <br />2645.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2155.4- <br />03 <br />6126:4 <br />2653.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2160.2 <br />94 <br />G144.3 <br />2671.6 <br />101 <br />6950.6 <br />3273.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />lU <br />6971.3 <br />3294.1 <br />20 <br />S1G9.0 <br />2191:1 <br />20 <br />G1SO.2 <br />2697.0 <br />20 <br />0992.0 <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 />G216.4 <br />272.1.5 <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 />3333.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />6252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />110 <br />5549.2 <br />2240.7 <br />- •10 <br />6271.1 <br />2764.8 <br />10 <br />70961.61 <br />3391.2 <br />20 <br />5565.4 <br />2258.0' <br />20 <br />6259.4 <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 />6320.3 <br />2805.6 <br />40 <br />7160.3 <br />3140.9 <br />50 <br />5614.2. <br />2292.0 <br />,50 <br />6344.8 <br />2819.4 <br />50 <br />71S1:7 <br />3457.6 <br />110 <br />8182.8 <br />'4259.7 <br />115 <br />I <br />4934.1 <br />.120 <br />9924.0 <br />5729.7 <br />89 <br />5630`.5 <br />2303.0 <br />90. <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 />5063.4 <br />2326.6 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7240.3 <br />3503.2 <br />.30 <br />5679.9 <br />•2338.2 <br />30 <br />6119.5 <br />28875.0 <br />30 <br />7268.0 <br />3325.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6138.4 <br />28S9.0 <br />40 <br />7280.3 <br />3542.4 <br />50 <br />5713.0 <br />2361.5 <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 />3576.8 <br />10 <br />5746.3 <br />23SS:1 <br />10 <br />6495.2 <br />2931.6 <br />10 <br />7355.6 <br />3591.2 <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 />5770:9 <br />2408.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7390.9 <br />3620.3 <br />- 40 <br />5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2, <br />3046.5 <br />50 <br />5513.6 <br />2132.9 <br />50 <br />6571.9 <br />2939.2 <br />50 <br />7444.6 <br />3661.5 <br />91 <br />5530.5 <br />'2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3652.3 <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 />3715.2 <br />30 <br />5881.7 <br />2431.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5898.3 <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 />250G.1 <br />50 <br />6688.8 <br />3077.7 <br />50 <br />75SO. 5 <br />3772.6 <br />. Corrections to be Added (T = Tangent. E. = External.) <br />Int. <br />Angle <br />Curve 5° <br />10° 15° 20° <br />25° 30° 35° 1 40° 45° <br />SO- <br />55° <br />1 60° 65° 70° <br />BS* <br />T=.33 <br />.66 1.00 1.33 <br />1.68 2.02 2.3612.7113.05 <br />3.40 <br />3.77 <br />4.14 4.51 4.89 <br />11: "7' <br />4386.1 <br />E=.128 <br />259 .391 .524 <br />.857 .700 .920 1.06 1.20 <br />1.34 <br />1.47 <br />162 1.91 <br />90° <br />T =.35 <br />.72 1.09 1.45 <br />1.83 2.20 2.57 2.94 3.32 3.70L4.88 <br />9199.1 <br />4.50 4.91 5.32 <br />20 <br />E =.149 <br />.299 .450 .603 <br />.750 .910 1.07 1 �2 1.38 <br />1.54 <br />4429.2 <br />1.87 2.03 2.20 <br />9s° <br />T=.30 <br />79 1.19 1.55 <br />2.00 2.40 2.80 3.20 3.61 <br />1Lfi2 <br />4.02 4.95 5.38 5.83 <br />30 <br />L =.174 <br />.350 .5221.,700 <br />.985 1.06 1.25 1.43 <br />1.80 <br />2.18 2.38 2.58 <br />7696.3 <br />T =.43 <br />.86 1.30 1.74 <br />2.18 2.62 3.OB 3.50 3.95 9.40 5.37 5.85 6.34 <br />4472.7 <br />1i=.210 <br />.401 .601 .809 <br />1.01 1.22 143 164 185 <br />208 <br />2.50 12.73 2.96 <br />105° <br />T=.46 <br />.94 1.42 1.70 <br />2.38 2.87 3.34 3.84 <br />4.84 <br />5.35 <br />5.87 6.40 8.93 <br />7743.2 <br />E =.230' <br />'.470 .7C0 .938 <br />14.35 <br />1.17 1.42 1.65 1.0012.14 2.39 <br />2.64 <br />2.90 3.16 3.41 <br />TABLF L'- Tangents and -Externals to a 1° Curve. . <br />Chord =100 ft. <br />Int. <br />Tangent <br />External <br />. 'Int. <br />. Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />100° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />110° <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 />5107.0 <br />20 <br />7619.7 <br />3527.9 <br />20 <br />8.388.9 <br />4429.2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />76172.9 <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 />8865.2 <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 />3902.0 <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 />0380.5 <br />5262.3 <br />20 <br />7700.5 <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 />7802.1 <br />3098.7 <br />50 <br />8029_3 <br />4628.6 <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 />8684.0 <br />4674.2 <br />10'. <br />9567.2 <br />5422.1 <br />20 <br />7934.0 <br />4057.4 <br />20 <br />8711.5 <br />4697.2 <br />20 <br />9598.9 <br />5440.2 <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 />0662.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />5U <br />8794.9 <br />476G.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 />'5550.4 <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 />8052.3 <br />4177.5, <br />20 <br />8879.3 <br />4837.5 <br />20 <br />0792.0 <br />5615.'5 <br />30 <br />8107.3 <br />419,7.9 <br />30' <br />8907.7' <br />4861.7 <br />30 <br />0824.8 <br />5643.8 <br />40 <br />8132.3 <br />,4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40. <br />0857.7 <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8905.0 <br />4909.9 <br />50 <br />9SO0.8 <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?l <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 />8310.5 <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 />Int. <br />Angle <br />Curve 5° <br />10° <br />15° <br />20° 25 o <br />30 0 <br />35° 40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />TO° <br />T =.43 <br />.86 <br />1.30 <br />1.74 2.18 <br />2.62 <br />3.06 3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />.6.34 <br />100° <br />E =.200 <br />'.401 <br />•604 <br />.809 1.01 <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />T=.46 <br />1.42 <br />1.90 2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.54 <br />5.35 <br />5.87 <br />6.40 <br />6.83 <br />105°• <br />E =.230 <br />.94 <br />.470 <br />.700 <br />.938 1.17 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />T=.50 <br />1.03 <br />1.55 <br />2.08 2.60 <br />3.14 <br />3.66 4.21 <br />4.76 <br />.5.31 <br />5.86 <br />6.43. <br />7.01 <br />7.59 <br />110° <br />E =.260 <br />.535 <br />805 <br />1.08 1.38 <br />1,63 <br />1.91 2.19 <br />2.49 <br />2.81 <br />3.05 <br />3.35' <br />3.85 <br />3.95 <br />T=.54 <br />1.13 <br />1.70 <br />2.29 2.86 <br />3,45 <br />4.03 4.63 <br />5.23 <br />6.83 <br />6.44 <br />7.07 <br />7.70 <br />8.35 <br />115° <br />E =.307 <br />.624 <br />.939 <br />1.26 1.57 <br />189 <br />2.21- 2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.58 <br />4.23 <br />4.58 <br />T=.61 <br />1.25 <br />1.89 <br />2.52 3.16 <br />3.81 <br />4.94 5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120° <br />I:=.339 <br />.720 <br />LC9 <br />1.95 1.82 <br />2,20 <br />2.C6 2.95 <br />3.33 <br />3.72 <br />9.10 <br />4.50 <br />4.91 <br />6.32 <br />