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VI T"r.E I: - Tangents and Externals to a V Curve. <br />Chord =100 ft. <br />Int. <br />tingle <br />Tan, <br />External <br />Int. <br />Angle <br />Tangent <br />I <br />External <br />Int' <br />Angle <br />Tangent <br />I g <br />External <br />85° <br />5250:3 <br />2041.7 <br />920. <br />5033.2 <br />2513.5 <br />93° <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 />6723.4 <br />3107.7 <br />20 <br />5231.0 <br />2062.5 <br />20 <br />59G7.9 <br />2543.5 <br />20 <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 />3133.t <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />6788.1 <br />315.°,.3 <br />50 <br />5327.4 <br />2004.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6808.2 <br />3163.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2504.0 <br />100 <br />'6828.3 <br />3184.1 <br />° 10 <br />5353.6 <br />2115.3 <br />10 <br />6055.4 <br />26064.8 <br />10 <br />6848.5 <br />3109.6 <br />20 <br />'5374.2 <br />2126.0 <br />20 <br />6073.1. <br />2619.7 <br />20 <br />6568.8 <br />3215.1 <br />..'30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2632.6 <br />30 <br />6389.2 <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 />5.421.4 <br />2158.4 <br />50 <br />6126.4 <br />2653.5 <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 />10 <br />6162.6 <br />2634.7 <br />10 <br />6971.3' <br />3294.1 <br />20 • <br />5469.0 <br />2191.1 <br />20 . <br />6180.2 <br />2697.0 <br />20 <br />6992.0. <br />3310.1 <br />30 <br />54&1.9 <br />2202.2 <br />30 <br />6198.3 <br />2711.2 <br />30 <br />7012.7 <br />332G.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 />64252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5549.2 <br />224G.7 <br />10 <br />6271.1 <br />2764.8 <br />10 <br />70964.6 <br />3391.2 <br />20 <br />5565.4 <br />2258.0 <br />20 <br />6259.4 <br />2778.3 <br />20 <br />7117.5 <br />3407.7 <br />30 <br />5551.6 <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 />2250.6 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />7150.3 <br />3440.9 <br />50 <br />5614.2 <br />2202.0 <br />50 <br />6344.8 <br />2519.4 <br />50 <br />7151.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.5 <br />96 <br />6363.4 <br />2333.2 <br />1033 <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 />5663.4 <br />2326.6 <br />20 <br />6400.8 <br />2361.0 <br />20 <br />7246.3 <br />3508.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.5 <br />2375.11 <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 />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />3559.6 <br />90 <br />5729.7 <br />237.3 <br />97 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <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 />5770.0 <br />2405.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />5706.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3546.8 <br />50 <br />5813.G <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 />2157.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />74S9.6 <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 />5S81.7 <br />2451.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.0 <br />3736.2 <br />40 <br />5898.8 <br />2193.5 <br />40 <br />6669.2 <br />306.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />G6SS.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added. (T =Tangent. E. =External.) <br />Inl. Curve 5° 120' 1 <br />Tangent <br />Extemal <br />fit' <br />Angle <br />Anglo 10' 15° 25° 1 30° 135° 140° <br />1 45° <br />1 50' <br />55° 60° 1 65° 70' <br />85� T =.33 .66 1.00 1.33 1.65 2.02 ° 36, 2.70 <br />y.920 <br />3.05 <br />3.40 <br />3.77 4.14 4.55 4.80 <br />E=.124 .259 .391 .5'21 .854 .700 LO6 <br />1.20 <br />1.:34 <br />1.47 1.G2 1.76 1.91 <br />90° T=.38 72 1.03 1.45 1.83 2.2057 2.94 <br />3.32 <br />3.70 <br />4.10 4.50 4.91 5.32 <br />E=.149 .299 .450 .603 .75G .910 11.07 1.22 <br />1.38 <br />1.54 <br />1.70 1.87 [ 2.03 230 <br />95° T=.39 79 119 1.55 2.002.40 12.80 3.20 <br />3.61 <br />4.02 <br />4.49 4.98 5.38 5.83 <br />E =•174 .350 .5221 .706 .98511.06 1.25 1.43 <br />1.62 <br />1.80 <br />1.99 1 2.18 1 2.38 2.55 <br />100° T=•43 .86 1.30 1.74 2.18 2.62 13.06 3.50 <br />3 �5 <br />4.40 <br />4.88 5.37 5.85 6.34 <br />E =.200 .401 .604 .309 1.OI 11:23 1.43 1.04 <br />1.85 <br />2.06 <br />2.23 1 2.50 2.73 2.98 <br />105° T=.40 .94 1.42 1.90 2.33 2.87 3.34 3.84 <br />4.35 <br />4.84 <br />0.35 5.87 6.40 6.93 <br />E=.230 .410 .700 .933 117 1.42 1.65 1.90 <br />2.14 <br />2.39 <br />2.61 2.90 3.16 3.41 <br />TABLE I. = Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />VII <br />.Int. <br />Angle <br />Tangent <br />Extemal <br />fit' <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />106' <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />43S6.1 <br />116' <br />91G9.4 <br />5032.7 <br />10' <br />7620.6, <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />10' <br />9199.1 <br />5107.9 <br />20 <br />76,19.7 <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 />3S46.5 <br />30 <br />8415.1 <br />4450.9 <br />30 <br />.9259.0 <br />5158.8 <br />40 <br />7696.3 <br />3565.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />50 <br />7719.7 <br />3SS4.0 <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 />451G.6 <br />117 <br />9349.9 <br />5236.2 <br />10 <br />7766.5 <br />3921.9 <br />10 <br />8521.3 <br />4535.8 <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 />5238.6 <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 />3970.4 <br />40 <br />8602.1 <br />46064.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />8629.3 <br />4623.6 <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 />SGS4.0 <br />4674.2 <br />10 <br />0567.2 <br />5422.1 <br />20 <br />7934.0 <br />4057.4 <br />20 <br />5711.5 <br />4697.2 <br />20 <br />9598.9 <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 />40 <br />7983.5 <br />4097.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />OHM) <br />5504.0 <br />50 <br />8008.0 <br />4[17.0 <br />50 <br />8794.9 <br />4766.0 <br />, 50 <br />0G94.7 <br />5531.7 <br />109 <br />5032.7 <br />4137.1 <br />114 <br />5822.0 <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 />4514.1 <br />10 . <br />9759.4 <br />5557:4 <br />20 <br />80S2.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.8 <br />20 <br />9702.0 <br />5615.5 <br />30 <br />5107.3 <br />4197.9 <br />30 <br />5907.7 <br />4861.7 <br />30 <br />9524.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />5936.3 <br />4885.7 <br />40 <br />9857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8905.0 <br />.4909.9 <br />50 <br />9890:8 <br />570`_0.9 <br />110 ' <br />8182.S <br />4259.7 <br />115 • <br />S993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4'280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />5758.64 <br />20 <br />5233.7 <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 />5007.5 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />$285.0 <br />4343.G <br />40 <br />9110.3 <br />503'_.6 <br />40 <br />10059.0 <br />5346.5 <br />50 <br />8310.3 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093,0 <br />587G.1 <br />Corrections to be Added (T = Tangent. E =External.) <br />Int. Curve 5' 20° 125' <br />Angle <br />30° <br />35° 40° <br />45° 50° <br />55° <br />60' 65° <br />70° <br />T=.43 1.74 2.13 <br />2.62 <br />31.001 3.50 <br />3.95 4.40 <br />US <br />5.37 5.85 <br />0.34 <br />109° .86 11.30 <br />E =.200 .'Ol .604 .509 101 <br />1.22 <br />1.43 1.64 <br />1.85 2.00 <br />2.25 <br />2.50 2.73 <br />2.96 <br />T =.46 190 <br />2.33 <br />2.87 <br />3 1,4 3.84 <br />4.35 4.34 <br />5.35 <br />5.S7 6.40 <br />6.93 <br />1 .94 11.42 <br />105° E=.230 .47 .700 .935 <br />1.17 <br />1.4? <br />1.65 1:10 <br />2.14 2.39 <br />2.64 <br />2.90 3.16 <br />3.41 <br />110° T =.50 1.03 11.55 2.08 <br />2.60 <br />3.14 <br />3.66 4.21 <br />4.76 5.31, <br />5.86 <br />6:43 7.01 <br />7.59 <br />E=.260 .535 .808 1.04 <br />1.364 <br />1631 <br />l 41 2.19 <br />2.49 2.61 <br />3.05 <br />3.35 3.63 <br />3.95 <br />115° T=.54 1.13 1.70 2.29 <br />'2.36 <br />3.45 <br />4.03 4.63 <br />5.231 5.83 <br />0.44 <br />7.07 7.r0 <br />3.35 <br />E=.307 .624 a39 1.20 <br />1.57 <br />1.8'9 <br />2.?1 2.54 <br />2.87 3.20 <br />3.53 <br />3.88 4.23 <br />4.58 <br />T=.61 135 1.39 2.52 <br />3.10 <br />3.51 <br />4.44 5.11 <br />5.78 6.44 <br />7.11 <br />7.80 8.51 <br />9.21 <br />120° <br />E=a39 .72011.04. 1.45 <br />1.33 <br />2.20 <br />I '2.:;6 2.95 <br />[ 3.34 3.72' <br />4.10 <br />4.50 4:911 <br />5.3'.7 <br />