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f' <br />VI TAaL1: I., -,Tangents and Externals to a 1° Curve. <br />Cyhnrri=100 ft - <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 />'85° <br />5250.3 <br />2041.7 <br />9,11 <br />5933.2 <br />2518.5 <br />99° <br />6703.6 <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 />X5281.0 <br />20.5 <br />62 <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 />•6768.1 <br />3138.1 <br />40 <br />5311.0 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />6788.1 <br />3153.3 <br />80 <br />'6327:4 <br />2094.1 <br />...-50 <br />. 6020.2 <br />2581.3 <br />.- 50 <br />6S08.2 <br />3168.7 <br />.86 <br />15343.0 <br />2104.7 <br />93• <br />6037:8 <br />2594.0 <br />100 'i <br />6828.3 <br />3134.1 <br />.10 <br />5358.6 <br />2115.3 <br />.110 <br />G055A <br />2606.8 <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 />3316.1 <br />--30 <br />'i 5389.9 <br />2136.7 <br />•30 <br />6090.8 <br />2632.6 <br />30 <br />6889.2 <br />3250.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6103.6 <br />2645.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />50i <br />6126,4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />$7 <br />'5437.2 <br />2169.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />69:10.6 <br />3278.4 <br />10 <br />5453.1 <br />2180.2 <br />.•<10' <br />0162.6 <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 />2697.9 <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 />55009 <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 />2258.0 <br />20' <br />6289.4 <br />2778.3 <br />20 <br />7117.8' <br />3407.7 <br />30 <br />5551.6 <br />2269.3 <br />30 <br />G307.0 <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 />7160.3 <br />3440.9 <br />50 <br />5014.2 <br />2292.0 <br />50. <br />0344.8 <br />2819.4 <br />60• <br />7181.7 <br />3457.6 <br />'80 <br />5630.5 <br />2303.5 <br />- 96. <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5640.9 <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 />232G.6 <br />20. <br />6400.8 <br />2861.0 <br />• 20: <br />7246.3 <br />3505.2 <br />30. <br />5079.9 <br />2338.2 <br />30' <br />6419.5 <br />.2875.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />569G.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 />2373.3 <br />97 •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 />5779.9 <br />2405.0 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />5796.7 <br />2.120.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5513.6 <br />2432.9 <br />50 <br />6571.9 <br />29S9.2 <br />50, <br />7444.6 <br />3664.5 <br />91 <br />5330.5 <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 />5864.0 <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 />5598.8 <br />2493.3 <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 />6688.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added .(T =Tangent. E. =External.) <br />TA13LE I. - Tangents and Externals to a V Curve. VII <br />Chord =100 ft.' <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tent <br />External <br />Int. <br />Angle <br />Angle Curve 5° 10° <br />15° <br />20° 1 25° 1 30° <br />1 35° 40° <br />1 45° 50° 55° <br />160° <br />65° 70° <br />85° T=.33 <br />1.00 <br />1.33 1.68 2.02 <br />2.36 2.70 <br />3.05 3.40 3.77 <br />4.14 <br />4.55 4.89 <br />E =.128 <br />.391 <br />.524 .057 .790 <br />.926 1.06 <br />120 1.34 1.47 <br />1.621.76 <br />1.91 <br />90° T=.36 <br />1.091.45 <br />1.83 2.20 <br />2.57 2.94 <br />3.32 3.70 4.10 <br />4.504.91 <br />5.32- <br />J:259 <br />E=.149 <br />.450 <br />.603 .756 .010 <br />1.07 1.22 <br />1.38 1.54 1.70 <br />1.87 <br />2.03 2.20 <br />95° T=.30 <br />1.19 <br />155 2.002.40 <br />2.80 3.20 <br />3.61 4.02 4.49 <br />4.98 <br />5.38 5.83 <br />E =.174 <br />.522 <br />.706 .985 1.06 <br />1.25 1.43 <br />1.62 1.80 1.99 <br />2.18 <br />2.38 2.58 <br />100° T=.43 <br />1.30 <br />1.74 2.18 2.62 <br />3.06 3.50 <br />3.95 4.40 4.88 <br />5.37 <br />5.85 6.34 <br />F=.200 <br />.604 <br />.809 1.01 1:22 <br />1.43 11.64 <br />1.85 12.00 2.28 <br />2.50 <br />2.73 2.96 <br />105° T=.46 .94 <br />1.42 <br />1.00 2.38 2.87 <br />3.34 3.84 <br />4.35 4.84 5.35 <br />5.87 <br />6.40 6.93 <br />E =.230 .470 <br />.700 <br />.938 1.17 1.42 <br />1.65 1.90 <br />2.14 2.39 2.64 <br />2.90 <br />3.16 3.41 <br />TA13LE I. - Tangents and Externals to a V Curve. VII <br />Chord =100 ft.' <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tent <br />External <br />Int. <br />Angle <br />Tan ent <br />9 <br />External <br />106° <br />7603.5 <br />3791.0' <br />111°' <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />503.7 <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 />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 />0259.0 <br />515S.S <br />40' <br />7696.3 <br />3865.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />92S9.2 <br />51'84.5 <br />50' <br />7719.7 <br />3384.0 <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 />3921:0 <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 />0411.3 <br />52S.SA <br />30 <br />7814.3 <br />3960.1 <br />•30 <br />8575.0 <br />4583.4 <br />30 <br />9142.2 <br />5315.0 <br />40 <br />7838.1 <br />3979.4 <br />40 <br />8602.1 <br />46061.0 <br />40 <br />9473.2 <br />5341.5 <br />b0 <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 />7886.2 <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />118. <br />9535.7 <br />1-.495.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />8664'.0 <br />,4674.2 <br />10 <br />9567.2 <br />:;122.1 <br />20 <br />7934.6 <br />-4057.4 <br />20 <br />8711.5 <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 />9630.7 <br />5476.5 <br />:40 <br />79S3.5 <br />4097.1 <br />40 <br />8767.0- <br />4743.6 <br />" 40 <br />9662.6' <br />5504,0 <br />, <br />.50 <br />-8008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />9094.7 <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 />4814.1 <br />110 <br />9759.4 <br />5557.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />8879.3.'4837.8 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />:5907.7 <br />4361.7 <br />30 <br />9S24.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9S57.7:'5672.3 <br />50 <br />8157.5 <br />.4239.0 <br />50 <br />5965.0 <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 />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 />9057.5 <br />5758.8 <br />20 <br />8233:7 <br />4301.4 <br />20 <br />9051.7 <br />4983.1 <br />20 <br />9091.0 <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />.9080.9 <br />5007.8 <br />30.•1002.5.0 <br />58L7.0 <br />40 <br />8295.0 <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 />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5376.1 ' <br />Corrections to be Added (T =Tangent. E = External.) <br />Int. Curve 5° <br />Angle <br />10° 15° 20° <br />25° 30° <br />35° <br />40° 45° 50° 55° 60° <br />65° <br />701 <br />100° T=.43 <br />.86 1.30 1.74 <br />2.18 2.62 <br />3.06 <br />3.50 3.95 4.40 4.88 5.37 <br />5.85 <br />C34 <br />E=.200 <br />.401 .601 .809 <br />1.01 1.22 <br />1.43 <br />1.64 1.85 2.06 2.23 280 <br />2.73 <br />2.96 <br />105° <br />1.100 1 <br />E=. <br />= 230 <br />410 933 <br />1.17 1.42 <br />1.65 <br />1 90 2.14 2.39 2.64 2.90 <br />3.16 <br />3.81 <br />110° T=.50 <br />1.03 1.55 2.08 <br />2.60 3.14 <br />3.66 <br />4.21 4.76 5.31 5.86 0.43 <br />7.01 <br />7.59 <br />E =.260 <br />.535 .508 1.08 <br />1.36 1.63 <br />1.91 <br />2.19 2.49 2.61 3.05 3.35 <br />3-M <br />3.95 <br />115° T =.54 <br />1.13 1.70 2 .29 <br />2.86 3.45 <br />4.03 <br />4.63 5.23 5.83 6.44 7.07 <br />7.70 <br />3.35 <br />F =.307 <br />.624 .9391.26 <br />1.57 1.89 <br />2.21 <br />2.5.1 2.87 3.20 3.53 3.88 <br />4.23 <br />4.58 <br />120° T =•GI1.25 <br />1.89 2.52 <br />3.16 3.81 <br />4.44 <br />5.11 5.73 6.4.1 7.11 7.80 <br />8.51 <br />0.21 <br />E=.339 <br />.720 1.08 1.45 <br />1.82 2.20 <br />2.56 <br />2.95 3.33 3.72 4.10 4.50 <br />4.911 <br />5.32 <br />