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V1 TAhLm 1. - Tangents and Externals -to a I' Curve. <br />Chnrrl=100 ft <br />Int... <br />`Angle <br />[Tangent <br />�ExternaI <br />Int. <br />Angle 'I <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />85° <br />5250.2 <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 />24)52.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />G728.4 <br />3107.7 <br />20 <br />5281.0 <br />_1062.5 <br />20 <br />5967.9 <br />2543.5 <br />20' <br />6748.2 <br />3122.9 <br />30 <br />549.0.4 <br />2073.0 <br />` 30 <br />5085.3 <br />2556.0 <br />30 <br />•6768.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <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 />6808.2 <br />3168.7 <br />86 <br />5363.0 <br />2104.'i <br />93 <br />6037.8 <br />2594..6 <br />100 <br />6828.3 <br />3134.1 <br />10 <br />'5358.6 <br />2115.3 <br />10 <br />6055.4 <br />2GOG.8 <br />.10 <br />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />21'26.0 <br />20 <br />'6073.1 <br />2619.7 <br />•40 <br />20 <br />6868.8 <br />3215.1 <br />" 34) <br />'5389,9 <br />2136.7 <br />30 <br />6090.8 <br />2632.6 <br />30. <br />(3889.2 <br />3230.8 <br />44) <br />5405•f <br />2147.5 <br />40, <br />6105.6 <br />2645.5 <br />40 <br />6900.6 <br />32461.5 <br />50 <br />5421:4 <br />-1158.4' <br />50 <br />6126.4 <br />2G58.5 <br />50 <br />6930.1 <br />3262.3 <br />'87-" <br />5437.2 <br />2tGO.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />6930.6 <br />3278.1 <br />.10 <br />5463.1 <br />21.30.2 <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 />6150.2 <br />2697.9 <br />20 <br />-6992.0 <br />3310.1 <br />3Q <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 />5500.0 <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 />3353.5 <br />88'• <br />5533.1 <br />2235.5 <br />95 <br />C252.S <br />2751.3 <br />102 - <br />7075.5 <br />3374.9 <br />101 <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 />3D <br />6507.9 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />22SO.6 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />•7160.3 <br />3440.9 <br />50'- <br />5G14.2 <br />2292.0 <br />50 <br />6344.3 <br />2819.4 <br />-50 <br />7181.7 <br />3457.6 <br />69 ' <br />56130.5 <br />2303.5 <br />96 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />30 <br />5640.0 <br />2315.0 <br />10G382.1' <br />9032.7 <br />2347.0 <br />10 <br />7224.7 <br />3491.3 <br />20' <br />5663'.4 <br />2326.6 <br />20 - <br />6400:8 <br />2861.0 <br />20 <br />7246.3, <br />3505.2 <br />30' <br />5679.0 <br />2338.2 <br />30 <br />6419:5 <br />2875.0- <br />30 <br />7268.0 <br />3525.2 <br />•40 <br />6696.4' <br />2349.8 <br />40 <br />6438.4 <br />2SSO.0 <br />40 <br />7259.8 <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 />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6405.2 <br />2931.0 <br />10 <br />7355.G <br />8594.2 <br />20' <br />5763.1 <br />2397.0 <br />20 <br />6514.3. <br />294b.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />6533.4 <br />2950.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />5796.7 <br />2420.9 <br />'40 <br />G552.6 <br />297.1.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2959.2 <br />50 <br />7444.G <br />3664.5 <br />91 <br />5830.5 <br />2441.9 <br />08 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3GS2.3 <br />','10 <br />5847.5 <br />2457.1 <br />10 <br />66110.6 <br />3015.4 <br />10 <br />7489.6 <br />3700.2 <br />• 20 <br />5564.6 <br />2469,3 <br />20 <br />6030.1 <br />3033.1 <br />20 <br />7512.2 <br />3718.2 <br />30 <br />61881.7 <br />2481.5 <br />30 <br />6649.6 <br />.3047.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5898.5 <br />2493.8 <br />40 <br />6669.2 <br />3OG2.S <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 />L <br />TABLE I. - Tangents and Externals to a 1° Curve._ Vii <br />Chord=100 ft. j <br />Int. <br />Angle <br />Tangent) <br />External <br />Int. <br />Angle <br />Tangent l <br />External <br />Int. <br />• Angl© <br />Tangent <br />- <br />' External <br />106° <br />7003.5 <br />3791..0 <br />111° <br />MG.7 <br />4386.1 <br />'116° <br />9169.4" <br />5052:7 <br />10' <br />7620.0 <br />3809.4 <br />10' <br />8362.7. <br />4407.0 <br />16''.•.9199.1- <br />3•77 4.14 <br />5107.9 <br />20 <br />7649.1 <br />3527.9' <br />20 <br />5388.9 <br />4429.2 <br />2D <br />9229:0 <br />.5133.3 <br />30 <br />'7672.9 <br />38.16.5 <br />• 30 - <br />3415.1. <br />4450.9 <br />30 <br />925910 <br />5158.8 <br />40 <br />7696.3 <br />3865.2 <br />40 <br />8441,5 <br />4472.7 <br />40' <br />9259.2" <br />5154.5 <br />50 <br />7719.7 <br />3384.0 <br />50 <br />8.4G8.0 <br />4494.E <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 />9349,0- <br />5236.2 <br />•10 <br />7766.8 <br />39`21.9 <br />10 <br />8521.3 <br />4533.8 <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 />5285.6 <br />30 <br />7814.3 <br />3960.1 <br />30 <br />5575.0 <br />4533.4 <br />30 <br />9442.2 <br />5315.0; <br />40 <br />7333.1 <br />3979.4 <br />40 <br />8602.1 <br />4006.0 <br />40 <br />9473.2 <br />5341,5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />'8629.3 <br />4628.6 <br />50 <br />9504:4 <br />5363.2 <br />108 <br />7885.2 <br />4015.2 <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 />7034:6 <br />40557.4 <br />- 20 <br />871115 <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-.'9630.7 <br />.547G.5 <br />40 <br />7983.5 <br />4097.1 <br />40 ' <br />8767.0 <br />4743.6 <br />"40 <br />9662.6' <br />5501.0 <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 />10 <br />8057.4- <br />4157.3 <br />10 <br />8851.0 <br />481.1:1 <br />10- <br />9759.4' <br />.1587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.3 <br />20 <br />9792.0 <br />5615:5 <br />30 <br />5107.3 <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 />893G.3 <br />4SS5.7 <br />40 <br />9557.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />;8965.0. <br />4909.9 <br />50 <br />9590:8 <br />5700.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.8 <br />4934.1 <br />E20 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4250.5 <br />10 <br />9032.7 <br />4955.6 <br />10- <br />9957.5 <br />575S.6 <br />20 <br />8233.7 <br />4301:4 <br />20 <br />9051.7 <br />4983.1 <br />20 <br />9991_0 <br />5737.-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 />5546.5• <br />50 <br />8310.8 <br />r <br />4364.8 <br />50 <br />9130.8 <br />5057.G <br />50 <br />10093.0 <br />5S7G.1' <br />Corrections to be Added (T = Tangent. E. =External.) Corrections to •be Added (T ---:-Tangent. ' E = External.) <br />Curve 5° 10° <br />15° <br />20° 1 25° <br />30° <br />35° 1 40° <br />45° <br />50° <br />' S5° • 601 <br />659 <br />Angle <br />85° T=M' -Go <br />1.00 <br />'1.33 1.63 <br />2,02 <br />2.36 2.70 <br />3.05 <br />3.40 <br />3•77 4.14 <br />4.55 <br />E =.129 .259 <br />.391 <br />.524 .657 <br />:790 <br />.926 11.06 <br />1.20 <br />1.33 <br />1.47 1.G2 <br />1.76 <br />90° T=.36 .72 <br />1.09 <br />1.45 1.83 <br />2.20 <br />2.57 2.94 <br />3.32 <br />3.70 <br />4.10 4.50 <br />4.91 <br />E=.144 .299 <br />..450 <br />.603 .756 <br />.910 <br />1.07 1.22 <br />1.38 <br />1.54 <br />1.70 1.87 <br />2.03 <br />95°• . T=.30 .70 <br />1.19 <br />1.55 2.00 <br />2.40 <br />2.80 3.20 <br />3:61 <br />4.02 <br />4.49 4.9E <br />5.33 <br />. E =.174 •350 <br />.522 <br />.706 .935 <br />1.06 <br />1.25 1.43 <br />1.62 <br />1.30 <br />1.99 2.13 <br />2.38 <br />100° T=.43 .86 <br />1.30 <br />1.74 2.18 <br />2.62 <br />3.06 3:50 <br />3 �5 <br />4.40 <br />4.^3 5.37 <br />5.55 <br />E=.200 .401 <br />.604 <br />'.869 ].Ol <br />122 <br />1.4311.6-111.85 <br />2.05 <br />2.50 <br />2.73 <br />_ <br />105° T=.4G 94 <br />11.42 <br />1.90 2.38 <br />3.8414.35 <br />4.84 <br />j2.23 <br />.35 5.87 <br />6.401 <br />. E=.230 .470 <br />.700 <br />.933 1.17 <br />12.87 <br />1.42 <br />13.34 <br />165 1.90. <br />2.14 <br />2.39 <br />3.04 2.90 <br />3.16 <br />Int. <br />70° Angle <br />4.89 •100° <br />1._91 <br />5.32 105° <br />2.2_0 <br />5.83 110° <br />2.58 <br />6.34 115° <br />2.96 <br />G•g3 120° <br />3.41 <br />Cu re 5° 10° 15° 20° .25° 30° 35° 40° 45° 509 55° •60° 65° 70° <br />T=.43 .3G 1.30 1.74 2.13 2.62 3.06 3.50 3.95, 4.40 4.88 5.37 5.81 6.34 <br />E =.200 .4011 •601 .809 1.01 1.22 1.43 1.6t 1.85 _66 '2.23 2.50 2.73 2.96 <br />T=.46 .94 1.42 -1.90 2.38 2.87 3.34 3.84 4.35 4.5! .5.35 5.81 >.4016.93 <br />0''=.230 .470 .700 .9381.17 1.42 165 1.00 2:1'4 2.39 2.Fi4 2.90 3.161 3.41 <br />T=.50 1.03 1.55 2.08 2.60 3.14 MG 4.21 4.75 5.3t 5 T. 789 <br />.BG, 7.0] <br />E =.260 .535 .808 1.08 1.36 1.631 1.91 2.19 2.411 3.01',3.05 3.35 3.65J.3.95 <br />T=.54 1.13 1.70 2.29 2.86 3.45 4.03 4.63 5.23 5.S3 . 6.44 7.07 7.70 8.35 <br />E=.307 6'14 .9391.2G 1.57 1.89 2x1 2x4 2.57 3.20.3.53 MS 4.23 •1.58 <br />T=.81 ' 135'11.89 2.52 3.161 3.31 4.44 5.11 5.78 6.4}I '.il 7.80 8.51 I V.21 <br />E=.339 .720 1.08 1.45 1.82 2.20 2.56 2.95 3.33 3.12. 4.15 4.F0 4.0115.32 <br />