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VI TADLE I. - Tangents and Externals to a V Curve. <br />Chord=100 ft - <br />Int. <br />Angle <br />Tangent <br />I External <br />Int. <br />Angle <br />Tangent <br />I External <br />Int. <br />Angle <br />Tangent <br />Exterpal <br />;85° <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />2515.5 <br />99° <br />0708.6 <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 />5251.0 <br />2062.5 <br />20 <br />5967.9 <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 />3138.1 <br />40 <br />5311.9 <br />2053.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />6788.1 <br />3153.3 <br />50 <br />5327.4 <br />2091.1 <br />50 <br />6020.2 <br />2551.3 <br />50 <br />6508.2 <br />3168.7 <br />86 <br />5313.0 <br />2104.'1 <br />93 <br />6037.8 <br />2591.0 <br />100 <br />6528.3 <br />3184.1 <br />10. <br />5358.6 <br />2115.3` <br />10 <br />6055:4 <br />2606.8 <br />10 <br />6348.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />261.9.7 <br />20 <br />6868.8 <br />321.5.1 <br />_ 30 <br />5389.9 <br />2136.7 <br />30 <br />0090.5 <br />2632.G <br />30 <br />6389.2 <br />3230.8 <br />40 <br />5405:6 <br />2147.5 <br />40 <br />6105.0 <br />2645.5 <br />40` <br />6909.6 <br />3240.5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />6120.4 <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 />3275.1 <br />10 <br />5453.1 <br />2130.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <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 />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 />2246.7 <br />10 <br />6271.1 <br />2764.8 <br />10 <br />'7096.6 <br />3391.2 <br />20 <br />5565.4 <br />2253.0 <br />20 <br />6289.4 <br />2775.3 <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 />10 <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 />6344.5 <br />2519.4 <br />.50 <br />7181.7 <br />3457.6 <br />89 <br />56.30.5 <br />2303.5 <br />96 - <br />6363.4 <br />2333.2 <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 />5663.4 <br />2326.6 <br />20 <br />0400.8 <br />286 1. 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 />2349.5 <br />40 <br />6435.4 <br />2589.0 <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 />2373.3 <br />97 <br />6470.2 <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 />2931.0 <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 />5796.7 <br />2420.9 <br />40 <br />G552. C, <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 />2959.6 <br />50 <br />7444.6 <br />3664.5 <br />91 <br />5830.5 <br />2444:0 <br />98 <br />6501.2 <br />3003.8 <br />'105 <br />7467.0 <br />8682.3 <br />10 <br />5847.5 <br />2457:1 <br />10 <br />6610.6 <br />3015.4 <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 />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 />GGSS.S <br />3077.7 <br />'50 <br />7580.5 <br />3772.6 <br />i'' s. <br />Corrections to be Added (T =Tangent. E. =External.) <br />Angle Curve 51 10° <br />15° 20° 25° <br />1 30° 1 35° 40° <br />45° 50° 1 55° 60° <br />65° 70°. <br />85° T=.33 .66 <br />1.07 1.33 1.68 <br />2.02 2.36 2.70 <br />3.05 3.40 3.77 4.14 <br />4.55 4.89 <br />E =.128 .259 <br />.391 .521 .657 <br />.790 .026 1.06 <br />1.20 1:34 1.47 1.62 <br />1.761 1.91 <br />90° 1T=.3G .72 <br />1.09 11.45 11.83 <br />12.20 2.57 2.94 <br />3.32 3.70 4.10 4.50 <br />4.91 5.32 <br />E=.149 .299 <br />.450 .603 .756.910 <br />1.07 1.22 <br />1.38 1.54 1.70 1.87 <br />2.03 12.20 <br />95° T=.39 '.79 <br />1.19 1.55 2.00 <br />2.40 2.80 3.20 <br />3.61 4.02 4.49 4.98 <br />5.38 5.83 <br />1 <br />E- 174 .350 <br />.522 .706 .935 <br />1.05 1.25 1.43 <br />1.62 1.50 .1.99 2.18 <br />2.38 2.55 <br />100° T=.43 .86 <br />1.30 1.74 2.13 <br />2.62 MG 3.50 <br />3.95 14.40 4.68 5.37 <br />5.55 6.34 <br />E =.200 .401 <br />.604 .809 1.01 <br />1.22 1.43 1.64 <br />.1.85 2.06 2:13 2.50 <br />2.73 2.96 <br />105 T=.46 .94 <br />1.42 1.9D 12.33 <br />2.87 3.34 3.84 <br />4.35 4.84 5.35 5.87 <br />6.40 6.93 <br />E=.230 .470 <br />.700 .038 11.17 <br />1.42 1.65 1.90 <br />2.14 12.39 12.04 2.90 <br />3.16 3.41 <br />TABLE I..- Tangents and Externals to a 1° Curve. VII <br />Chord =100 ft. <br />Iat. <br />Angle <br />Tangent <br />I <br />External <br />Int. <br />Angle I <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />106° ,-7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />5052.7 <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 />515S.8 <br />40 <br />7696.3 <br />3565.2 <br />40 <br />&141.5 <br />4472.7 <br />40 <br />9239.2 <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 <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 />9350.5 <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 />5285.0 <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 />8029.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886:2 <br />4018.2 <br />11S <br />8656.6 <br />4651.3 <br />116 <br />9536.7 <br />5395.1 <br />10 <br />7010.4, <br />4037.8 <br />10 <br />5684.0 <br />4674.2 <br />10 <br />0507.2 <br />5422.1 <br />20 <br />7034.6 <br />4057.4 <br />20 <br />8711.5. <br />4697.2 <br />20 <br />0598.9 <br />5449.2 <br />30 <br />7959.0 <br />4077.2 <br />_ <br />30 <br />5739.2 <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 />9602.G <br />5504.0 <br />50 <br />'8008.0 <br />4117.0 <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 />559.410 <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 />9702.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />8907.7 <br />4561.7 <br />30 <br />9524.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4835.7 <br />40 <br />9357.7 <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 />5753.6 <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 />9030.9 <br />5007.8 <br />30 <br />10025.0 <br />5317.0 <br />40 <br />8285.0 <br />4343.G <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 />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5376.1 <br />Corrections to be Added (T = Tangent. E = External.) <br />Int. <br />Curve 5° 10°_ 115° 20° 25° 30° <br />35° 40° <br />45° 1 50° I 55° <br />60° 65° <br />701 <br />Angle <br />100° <br />T=.43 .80 1.30 1.74 2.18 2.62 <br />3.06 3.50 <br />3.90 4.40. 4.88 <br />5.37 5.35 <br />0.34 <br />E=.200 .401 ..G04 .809 1.01 1.22 <br />1.43 1.G4 <br />1.85 2.OG 2.25 <br />11.50 2.73 <br />2.95 <br />T=.46 .94 1.42 1.90 2.38 2.87 <br />3.34 3-34 <br />4.3.i 4.84 5.35 <br />5.37 6.40 <br />6.43 <br />1D� <br />E=230 .470 .700 .933 1.17 1.42 <br />1.65 1.00 <br />2.14 2.33 <br />2.00 3.16 <br />3AI <br />110° <br />T=.50 1.03 1.55 2.08 2.60 3.14 <br />3.66 4.21 <br />4.76 5.316.437.59E=.260 <br />.535 .808 1.08 1.3G 1.63 <br />1.01 2.19 <br />2.49 2.61 <br />3.35 3.65 <br />3.95115° <br />T=.54 113 ILi0 2.20 2.30 3.45 <br />4.03 4.63 <br />5.23 5.53 <br />Fl <br />7.67 7.70 <br />8.35 <br />E=.307 .624 .939 1.26 1.57 1.89 <br />2.21 254 <br />2.87 3.20 <br />3.88 4.23 <br />4.58 <br />120° <br />T=.61 1.23 1.59 2.52 3.10 3.8t <br />4.44 5.11 <br />5.78 0.44 <br />7.80 8.52 <br />9.21 <br />E=.33U 72911.03 11.45 1.82 2.20 <br />'2.56 2.95 <br />3.33 3.72 <br />4.50 4.91 <br />5.32 <br />I <br />i <br />I <br />