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VY TABLm L Tangents and Externals to a P Curve. <br />Chord =100 ft - <br />Anggle <br />J <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />85' `• <br />5256.3 <br />2041:7 <br />92' <br />5933.2 <br />'2518.5 <br />99° <br />6769.8 <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 />80 <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 />.2083.5 <br />40 <br />6002.7 <br />.2568.6 <br />40 <br />6788:1 <br />3153.3 <br />b0' <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />12581.3 <br />50 <br />6808.2 <br />3168.7 <br />86 '' <br />8343.0 <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 />.6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20- <br />6073.1 <br />2619.7 <br />'-20' <br />6868.8 <br />3215.1 <br />-80 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2632.6 <br />130' <br />6889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.6 <br />2845.5 <br />40' <br />6909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />60 <br />6126.4 <br />2658.5 <br />50 <br />6930.1, <br />3262.3 <br />87 <br />5437.2 <br />2169.2 <br />04 <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278:1 <br />10 <br />5453.1 <br />2180.2 <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 />401 <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 />5581-.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 />'2280.6 <br />•40 <br />6323.3 <br />2805.6 <br />- 40 <br />7160.3 <br />344D.9 <br />50 <br />5614.2 <br />2292.0 <br />50 <br />•6344.8 <br />2819.4 <br />50 <br />.7181.7 <br />3457.6 <br />89 <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 />5646.9 <br />2315.3. <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 />2861.0 <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 />7268.6 <br />'3525.2 <br />;40 <br />.5696.42349.8 <br />4301.41 <br />. <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />b0• <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 />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 />120 <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 />.3629.2 <br />40 <br />-5796.7. <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />15813:6 <br />2432.9 <br />•50'' <br />6571.9: <br />2989.2 <br />50. <br />17444.6 <br />3664.5 <br />91'. ' <br />5830.5' <br />2444:9 <br />98 <br />6591.2 <br />3003.9 <br />105 " <br />7467.0 <br />3682.3 <br />: '•10 <br />5847.5 <br />2457.1 <br />10 - <br />6610.6 <br />3018.4 <br />10'7489.6 <br />3700.2 <br />._20- <br />'5864.6 <br />2469.3 <br />20 <br />6630.1 <br />3033.1 <br />_ <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 />6688.8 <br />'3077.7 <br />50 <br />7580.5 <br />3772.6. <br />Corrections to be Added (T=Tangent. E. = External.) ' <br />Int. <br />Angle Carve 5° 10° 15° 20° 25° 30° 350 40° <br />45° 50° <br />55° 1 60° 1 65° 70° <br />85o .T=.33 '..66 1.00 1.33 1.68 2.02 2.36 2.70. <br />3.05 3.40 <br />3.77 4.14 4.55 4.89 <br />E=.128. .259 .391 .524 .657 .790 ..926 1.06 <br />1.20 1.34 <br />1.47 1.62 -1.76. 1.91 <br />90°; T=.36 ' .72 1.09'11.45 1.83 12.20 2.57 2.94 <br />3.32 3.70 <br />4.10 4.50 4.91' 5.32 ' <br />E=:149 .299 .450 .603 .756 .910 1.07' 1.22 <br />1.38 1.54 <br />1.70 1.87 2.03 2.20 <br />956 - T=.39 • .79 1:19 1.55 2.00 2.40 2.80 3.20 <br />3.61 4.02 <br />4.49 4.98 5:38 5.83 <br />E=.174' .350 .522 .706 .985 1.06 1.25 1.43 <br />1'.62 '1.80 <br />1.99 2.18 2.38 2.58 <br />100°, ..•T=.43 .86 1.30 1.74 12.18 2.62 3.06 3.50 <br />3.95 4.40 <br />4.88 5.37 5.85 6.34 <br />E=.200 .401 .604 .809 1.01 1.22 1.43 1.64 <br />1:85 2.08 <br />2.28 2.50 2.73 1 2:96 <br />1�0 T=.46 -.94 1.42 1.90 2.38 2.87 3.34 13.84 <br />14.35 .4.84 <br />5.35 5.87 6.40 6.93 <br />E=.230 .470 .700 .938 1.17 1.42. 1.65 1.90 <br />2.14 2.39 <br />2.04 2.90 3.16 3.41 <br />l <br />TABLEI. - Tangents and Externals to a 1° Curve. Vii <br />=Chord=100 ft: , • _ <br />Int.Angle .'Tangent <br /><Curve <br />External <br />Angle-, <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />106""- <br />7603.5 <br />3791.0, <br />111° <br />,8336.7 <br />4386.1 <br />116° <br />9169.4..5082:7 <br />10° <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 />8388.9.4429.2 <br />.86 <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 />5184.8 <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 />9380.5 <br />5262.3 <br />20 <br />7790:5 <br />3940.9 <br />-,120 <br />8548.1 <br />14561.1 <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•:4606.0 <br />7.59 <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 />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 />:8684.0.14674.2 <br />6.44 <br />10 <br />9567.2-. <br />5422.1 <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.,4720.3 <br />4.58 . <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 />4766.9 <br />50' <br />9694.7' <br />5531.7 <br />2.20 <br />2.56 <br />2.951 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.911 <br />5.32 <br />109,: <br />8032.7 <br />4137.1 <br />114-, <br />8822.9' <br />4790.4.119;;. <br />9727:0 <br />5559.4 <br />10} <br />.8057.4 " <br />'4157:3--- <br />10 <br />8851.0' <br />4814.•1 <br />16 <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 />56.15.5 <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•,-"4218 <br />4 <br />40 <br />=8936.3 <br />4885.7 <br />40 <br />9857.7 <br />5672.3 <br />50 . <br />-8157:5,'.4239.0 <br />".=b0 <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 />89931.8 <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 />5758.6 <br />20,--8233.7' <br />4301.41 <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 />5007.8 <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 />5846.5 <br />-50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093 9, <br />5876.1 <br />Corrections to be. Added, (T = Tangent. E =External.) , <br /><Curve <br />Angle <br />5° <br />10° <br />15° <br />20°- <br />25° <br />'30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />1 60° <br />65° <br />70° <br />100;• <br />T=.43 <br />.86 <br />1.30 <br />1.74 <br />2.181 <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 />E =.200 <br />.401 <br />.604 <br />.809 <br />1.011 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />105°, <br />T=.46 <br />.94. <br />1.42 <br />1.90. <br />2.38 1 <br />2.87 <br />A 34' <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />E=.230 <br />.470 <br />• .700 <br />.938 <br />1.17 <br />1.42 <br />.1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />110°- <br />T=.50 <br />1.03 <br />1.55 <br />2.08- <br />2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 <br />7.59 <br />E=260 <br />.535 <br />.808 <br />1.08. <br />1:36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />1150 ' <br />: T=.54 <br />1.13 <br />1.70 <br />2.29 <br />2.86 <br />3.45 <br />4.03 <br />4.63 <br />5.23 <br />5.83 <br />6.44 <br />7.07 <br />7.70 <br />8:35 <br />E =.307 <br />.824 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 <br />1 2.541 <br />2.87 <br />1 3.20, <br />3.53 <br />3.88' <br />4.23 <br />4.58 . <br />120° <br />T=.61 <br />1.25 <br />1.89 <br />2.52. <br />3.18 <br />3.81 <br />4.44 <br />5.11 <br />5.78 <br />6.44 <br />7.11 <br />.7.80 <br />8.51 <br />9.21 <br />E=.339 <br />:720 <br />1.08 <br />1.45 <br />1.82 <br />2.20 <br />2.56 <br />2.951 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.911 <br />5.32 <br />