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VI TA1sl.E'I. - Tangents and 'Externals to a 1° Curve. <br />Chord=100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Angle ' <br />Tangent <br />External <br />85° <br />5250.3 <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 />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 />-30 <br />5296.4 <br />2073.0 <br />30' <br />5985.3 <br />255G.0 <br />30' <br />6768.1 <br />3133.1 <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 />G808.2 <br />3168.7 <br />-86 <br />5343.0 <br />2101.7 <br />93 <br />61037.8 <br />2504.0 <br />100 ; <br />G828.3 <br />3184.1 <br />'10 <br />5358.6 <br />2115.3 <br />10 <br />6055.4 <br />2600.8 <br />'10 <br />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20, <br />G073:1 <br />2610.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />G090.8 <br />2G32.6 <br />30 <br />6889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />G108.6 <br />2645.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />6421,4 <br />2158.4 <br />50 <br />G126.4 <br />2658.5 <br />50' <br />6930.1 <br />3362.3 <br />'87-.:: <br />5437.2 <br />2169.2 <br />94 ' <br />614 4.3 <br />2671.6 <br />10 ' <br />1: <br />6950.6 <br />3278:1 <br />10 <br />54,rd 1 <br />2180.2 <br />-10 <br />61G2.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />0180.2 <br />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <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 />553311 <br />2235.5 <br />95- <br />6252.8 <br />2751.3 <br />102 -- <br />7075.5 <br />3374.0 <br />10 <br />5549:2 <br />2246.7 <br />10. <br />G2i1.1 <br />2764.8 <br />10 <br />7090.6 <br />3391.2 <br />'20 <br />5565.4 <br />2258.0 <br />L 20' <br />6259.4 <br />2778.3 <br />20, <br />7117.8 <br />3407.7 <br />.30 <br />5.581.6 <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 />6326.3 <br />2805.G <br />`'40 <br />71fd1.3 <br />3440.9 <br />'60 <br />5614.2 <br />2292.0 <br />50 <br />6344.5 <br />2819.4 <br />50 <br />7131:7 <br />i <br />3457.6 <br />89'. <br />5630.5 <br />r <br />2303.5 <br />06 <br />6363.4 <br />2833.2 <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 />16 <br />'7224.7 <br />3491.3 <br />;20 <br />5063.4 <br />2320.6 <br />20- <br />6100.8 <br />2561.0 <br />20 <br />724G.3 <br />3503.2 <br />30 <br />5670.9 <br />2338.2 <br />-30 <br />: 6119.5 <br />2875.0 <br />.30 <br />7268.0 <br />3325.2 <br />40 <br />5690.4 <br />2349.8 <br />40 <br />G438.4 <br />2889.0 <br />40 <br />72g9.8 <br />3542.4 <br />-50 <br />5713:0 <br />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />73f1.7 <br />3550.6 <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 />2931.6 <br />10 <br />7355.6 <br />3591_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 />2408.0 <br />'30 <br />6533.4 <br />2960.3 <br />30 <br />7399.0 <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 />3046.8 <br />50 <br />'5813.6 <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 />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />58G1.6 <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 />37.54.4 <br />50 <br />5916.0 <br />250G.1 <br />all <br />6688.8 <br />3077.7 <br />50 <br />75S0.5 <br />3772.6 <br />" ..Corrections to be Added (T =Tangent. E:--- External.) - <br />Int. <br />Angle' <br />`Gorge 5° <br />. <br />.10°. 15°,' 20° 25° ' 30° '35°. 40° <br />45° <br />50° 55° .60° 65° <br />.70° <br />•85" , <br />T=.33' <br />•.60 . 1.00' 1.33 1.58 2.02 2.36 2.70 <br />3.05 <br />11.20 <br />3.40 3.77 4.14 4.55 <br />4.89 <br />111° <br />E=.128 ' <br />..259 .391 .524 '.857 .790 .9261 1.00 <br />116° <br />1.34 1.47 1.62 1.76 <br />1.91 <br />90° = <br />T=.36 <br />72 1.09 1.45 , 1.83 2.20 2.67 12.94 <br />13.32 3.70 4.10 4.50 i <br />15.32 <br />4407.6 <br />E=.149 <br />.299 ..450 .603-756 .910 1.07 1.22'j1.38 <br />5107.9 <br />1.54 1.70 1.87 2.03 <br />12.20 <br />95* - <br />T=.39 <br />79 1.1 91.55 2.00 2.40 2.80 3.20 3.81 <br />11.62 <br />4.02 4.49 4.98 5.38 <br />5.83 <br />9229.0 <br />E =.174 <br />.350' .522 ,.706 .985 1.06 1.25' 1.43 <br />7672.9. <br />1.80 1.99 2:18 2.38 <br />2.58 <br />1° <br />T=.43 <br />T=- 410 <br />86 1.30 1.74:2.18 • 2.62 3.G6 3.50 3.95 <br />4.40 4.88 5.37 5.85 <br />6.34 <br />40 <br />7696.3 <br />'.901 .604 .809 1.01 1.22 1.43 1.64 <br />1.85 <br />2.06 2.28 2.5012 .73 <br />2.96 <br />105' <br />' T=.46 ,1 <br />.94 1.42 1.90 2.38 2.87 3.34 3.84 <br />4.35 <br />4.84 5.35 5.87 6.40 <br />6.93 <br />50 <br />E=:230 <br />.470 ..i 00 .0381.17' 1.42 1.65 1.90.j2.1412.39 <br />50 <br />2.G4 2.00 3.16 3.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle - <br />Tangent <br />External <br />' Alnngle <br />Bl <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 <br />5082.7 <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 />5158.8 <br />40 <br />7696.3 <br />3865.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />1.42 <br />77141.7 <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 />4516.0 <br />217 <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 />20 <br />8548.1 <br />4561.1 <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 <br />4606.0 <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 />SO <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 <br />4674.2 <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 />9598.0 <br />5440.2 <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 />7983.5 <br />4097.1 <br />.40 <br />8767:0 <br />4743.6 <br />40 <br />0662.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.0 <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 />4814.1 <br />10` <br />9759.4 <br />5587.4 <br />20 <br />8082.3 <br />'4177.5 <br />20 <br />8879.3 <br />4837.6 <br />20 <br />9702.0 <br />'5615.5 <br />30 <br />8107.3 <br />4107.9 <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 />8936.3 <br />4885.7 <br />40 <br />9857.7. <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.0 <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 />5758.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />0051.7 <br />4983?1 <br />20 <br />9991.0. <br />5787:7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />0080.9 <br />5007.6 <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 />846.550 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T --'Tangent. E = External.) <br />Angle Curve 5° 10° <br />15° <br />20° <br />25° <br />30° <br />35° <br />40° 15° <br />50° <br />55° 60° <br />65° 70° <br />. <br />T=.43 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.00 <br />3.b0 3.95 <br />4.40 <br />4.88 5.37 <br />US .8.34 <br />.86 <br />1�, E =.200 .401 <br />.604 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />1.04 11.86 <br />12.08 <br />12.28 2.60 <br />2.73 2.96 <br />T=.48 94 <br />1.42 <br />1.90 <br />2.38 <br />2.87 <br />3.34 <br />3.84 4.35 <br />4.84 <br />5.35 5.87 <br />6.40 6.93 <br />]OS° E-.230 .470 <br />.700 <br />.938 <br />1.17 <br />1.42 <br />1.05 <br />1.90 2.14 <br />2.39 <br />2.64 2.90 <br />3.16 3.41 <br />T=.50 1.03 <br />1.55' <br />2.08 <br />2.60 <br />3.14 <br />3.66 <br />4.21 4.76 <br />5.31 <br />5.86 6.43 <br />7.01 7.50 <br />110° E=.260 .535 <br />.808 <br />1.08 <br />1.30 <br />1.63 <br />1.91 <br />2.19 2.49 <br />2.61 <br />3.05 3.35 <br />3.65 3.95 <br />T=.54 1.13 <br />1.70 <br />2.29 <br />2.86 <br />3.45 <br />4.03 <br />4.63 8.23 <br />5.83 <br />0.44 7.07 <br />7.70 8.35 <br />115° G=.307 .624 <br />.939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 <br />2.54 2.87 <br />3.20 <br />3.53 3.88 <br />4.23 4.68 <br />T=.61 1.25 <br />1.89 <br />2.52 <br />3.18 <br />3.81 <br />4.44 <br />6.11 5.78 <br />6.44 <br />7.11 7.80 <br />8.51 9.21 <br />120° E-339 .720 <br />1.09 <br />1.45 <br />1.82 <br />2.20 <br />2.10 <br />2.95 3.33 <br />3.72 <br />4.10 4.60 <br />4.91 5.82 <br />i <br />