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VI TAt,1 E 1. - Tangents and Externals to a V Curve. <br />Chord=100 ft. <br />Int.. <br />Angle <br />Tangent <br />External <br />• Int. <br />Angle <br />Tangent <br />8 <br />External <br />Int. t <br />Angle <br />Tangent- <br />Fxternal <br />85° <br />5250.3 <br />2041.7 <br />92° ° <br />5933.2 <br />2518.5 <br />99° <br />6708.6 <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 />20 <br />6748.2 <br />3122.9 <br />30 <br />529G.4 <br />2073.0 <br />30 <br />5985.3 <br />2556,0 <br />30' <br />67GS.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />G002:7 <br />2568.6 <br />46 <br />6788.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />25SI.3, <br />60 <br />0808.2 <br />3168.7 <br />B6 <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 />6948.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />2019.7 <br />20 <br />G868.8 <br />3215.1 <br />30 <br />5389.9 <br />2130.7 <br />30 <br />6090.8 <br />2632.6 <br />30' <br />G889.2 <br />3230.8 <br />40 <br />ut05.6 <br />2147.5 <br />40 <br />6108.6 <br />2545.5 <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 />94 <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278.1" <br />10 <br />5453.1 <br />2150.2 <br />I0 <br />G1G2.6 <br />2684.7 <br />10 <br />6971.3, <br />3294.1 <br />20 <br />5169.0 <br />MIA <br />20 <br />6180.2 <br />2597.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />G19S.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 />88 <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 />2240.7 <br />10 <br />G271.1 <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 />6307.0 <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.G <br />40 <br />7160.3 <br />3.140.9 <br />50 <br />5614.2 <br />2292.0 <br />/ 50 <br />I <br />(5344.8 <br />2819.4 <br />50 <br />7181.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.5, <br />98 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5646.9 <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.6 <br />20 <br />6100.8 <br />2361.0 <br />.20 <br />7246.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.5 <br />2875!0 <br />. 30 - <br />7368.0 <br />3325.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6438.4 <br />2889.0 <br />_ <br />4U <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 />0470.2 <br />2917.3 <br />101 <br />7333.6 <br />3570.8 <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 />2945.9 : <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 />'3029.2 <br />40 <br />5795.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3046.8 <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 />3G82.3 <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 />NMI. <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 />3730.2 <br />40 <br />5898.8 <br />2493.8 <br />40 <br />6869.2 <br />3062.8 <br />40 <br />7.7,57.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />6685.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections tobe Added (T=Tangent. E.=External.) <br />Iat. <br />kagle <br />Curve 5° <br />19° <br />IS' <br />20° <br />25' <br />30° <br />Tangent <br />External <br />100° ' <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />85° <br />T=.33 <br />.66 <br />L.00 <br />1.33 <br />1.68 <br />2.02 <br />2.36 <br />12.70 <br />13X5 <br />3A0 <br />3.77 <br />4.14 <br />9.55 <br />4.89 <br />20 <br />E =.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.92GI <br />1.06 <br />11.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />1.91 <br />90° IT=.36 <br />7696.3 <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 />4:59 <br />4.91 <br />5.32 <br />50 <br />F =.I49 <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 />11.19 <br />1.55 <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />13.61 <br />4.02 <br />4.49 <br />4.98 <br />5.33 <br />3 <br />30 <br />13=:174 <br />.359 <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 />2.55.88 <br />160° <br />T=.93 <br />.86 <br />1.30 <br />1.74 <br />2.1S <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 />113 <br />] =.200 <br />.401 <br />.694 <br />,809 <br />£.D1 <br />1.22 <br />1.43 <br />1:64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />12.73 <br />12.96 <br />195° <br />T -.46 <br />.94 <br />L42 <br />190 <br />2.38 <br />2.67 <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 />8-x.230 <br />A70 <br />.700 .938 <br />1.17 <br />1.42 <br />1.65 <br />1.00 <br />2.14 <br />2.39 <br />2.64 <br />2.00 <br />3.1fi <br />3.41 <br />TAsl,s I. - Tangents, and Externals to a 1' Curve. <br />Chord =100 ft. <br />VII <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 />100° ' <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 />4407.0 <br />10y <br />9199.1 <br />5107.9 <br />29 <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 />4494.0 <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 />5230.2 <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 />460G.0 <br />40 <br />9473.2 <br />5841.5 <br />.50 <br />7862.1 <br />3908.7 <br />50 <br />8629.3 <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 />I0 <br />8684.0 <br />4674.2 <br />10 <br />9567.2, <br />5422.1 <br />7934.6 <br />4067.4 <br />20 <br />8711.5 <br />4697.2 <br />20 <br />9598.9- <br />5449.2 <br />.'20 <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 />4760.9 <br />50 <br />9694.7 <br />5531.7 <br />106 <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 />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 />57110.9 <br />116 <br />8182.8 <br />4259.7 <br />116 <br />8993.8 <br />4934.1 <br />126 ' <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.0 <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 />30 <br />9080.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <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 />9139.3 <br />5057.6 <br />50- <br />10093:0 <br />5876.1' <br />Corrections to be Added (T = Tangent. E = External.) <br />Angle <br />Curve 5' 10° <br />15° <br />20° <br />25° <br />30° <br />35° 40° <br />45' <br />50' SSI. <br />60° <br />65° 70° . <br />1.30 <br />100° <br />E =.200 .401 <br />.604�L+742.18 <br />1.22 <br />1.443 1.04 <br />1.85 <br />2.06 2.28 <br />2.50 <br />2.73 2.96 <br />T=.46 <br />1.42 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.84 5.35 <br />5.87 <br />6.40 0.93 <br />lOS° <br />.94 <br />> =230 .470 <br />.700 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2.39 2.64 <br />2.99 <br />3.16 3.41 <br />T=•50 1.03 <br />1.55 <br />2.06 <br />2.60 <br />3.14 <br />3.66 4.21 <br />4.76 <br />5.31 5.85 <br />6.43 <br />7.01 7.59 <br />110° <br />E =.260 .535 <br />.803 <br />1.08 <br />1.30 <br />1.63 <br />1.91 2.19 <br />2.49 <br />2.61 3.05 <br />3.35 <br />3.65 3.95 <br />T=.54 1.13 <br />1.70 <br />2.29 <br />2.86 <br />3.45 <br />4:03 4.63 <br />5.23 <br />6.88 0.44 <br />7.07 <br />7.70 8.35 <br />115° <br />F =.307 .624 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21- 2.54 <br />2.87 <br />3.20 8.63 <br />3.88 <br />4.23 4.58 <br />T=.61 1.25 <br />1.89 <br />2.52 <br />3.16 <br />3.81 <br />4.44 5.11 <br />5.78 <br />6.44 7.11 <br />7.80 <br />MI. 9.21 <br />120° <br />F =.339 .720 <br />1.08 <br />1.45 <br />1.82 <br />2.20 <br />215 2.95 <br />3.33 <br />3.72 4.10 <br />4.50 <br />4.91 6Z <br />=%I <br />