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VI TABLE I. - Tangents and:Externals to a 1°. Curve: <br />Chord -_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 />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 />0950.5 <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 />5290.4 <br />2073.0 <br />30 <br />5985.3 <br />2556.0 <br />30 <br />G768.3 <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 />5343.0 <br />2104':7 <br />93 <br />G037.8 <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 />fG848.5' <br />3199.6 <br />„ 20 <br />5374.2 <br />2120.0 <br />20 <br />6073.1 <br />2619.7 <br />20: <br />.'6868:8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30` <br />6090.8 <br />2632.6 <br />230 <br />G889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />-40- <br />6108.6 <br />2645.5 <br />40 <br />6909.0 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />-50- <br />6126.4 <br />2658.5 <br />50 <br />'6930.1 <br />3262.3 <br />87. - <br />.'5437.2 <br />2169.2 <br />946144.3 <br />.604 <br />2671:6 <br />101 <br />6950:6 <br />3278:1 <br />-•10 <br />5453:1 <br />2180.2 <br />..-10:6162.6 <br />2.50 <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 />140 <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 />85'' <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 />6326.3 <br />2805.6 <br />. 40 <br />.7160.3 <br />3440.9 <br />50 <br />5614.2 <br />2292.0 <br />50: <br />0344.8 <br />2819.4 <br />1 •50: <br />7181.7 <br />3457.G <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 />2315.0 <br />10 <br />G382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />`5663.4 <br />2326.6 <br />20 <br />6100.8 <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 />'7268.0 <br />3525.2 <br />40 <br />'5696.4 <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 />2361.6 <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 />.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 />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 />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3664.5 <br />X91 ':- <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 />40 <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 />X7557:7 <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.-, R. =External.) <br />-Angle <br />Curve 5° <br />30° <br />'IS° <br />20°_ <br />_25°' <br />30° <br />35° <br />'40° <br />45° <br />- 50°. <br />55° <br />60° <br />65° <br />70° <br />85° <br />T=.33 <br />.68 <br />1.00 <br />1.33 1.65 <br />2.02 2.36. <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />.7626.6 <br />,7649.7' <br />E=.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.926 <br />1.06 <br />1.20 <br />1.34 <br />11.47 <br />1.62 <br />1.76 <br />1.91 <br />96o <br />T=.36. <br />.72 : <br />1.09 <br />1.45 <br />1.83 <br />2.20 <br />2.57 <br />2.94 <br />3.32 <br />3.70 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />8468.0 <br />E-149 <br />.299 <br />.450 <br />..603 <br />..756 <br />.910 <br />1.07 <br />1.22' <br />1.38 <br />1.54 <br />1.70 <br />1.87 <br />2.03 <br />2.20 <br />9-o <br />T=.39, <br />.79 <br />1.19 <br />1.55 <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />3.61 <br />11.62 <br />4.02 <br />4.49 <br />4.98 <br />5.38 <br />5.83 <br />•9411:3 <br />E=.174 <br />'.350 <br />.522 <br />.706 <br />.985 <br />1.06 <br />1.25' <br />1.43 <br />9442._2 <br />1.80 <br />1.99 <br />2.18 <br />2.38 <br />2.58 <br />1013�, . ' <br />T =.43 <br />.86 <br />1.30 <br />1.74 <br />2.18 :2.62 <br />7862.1 <br />3.06, <br />3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />8.34 <br />7886:2 <br />E =.200 <br />.401 <br />.604 <br />.809 <br />1.01 <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 />L00 <br />2.38 2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />8.93 <br />30 <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 />2.00 <br />3.1 6 <br />3.41 <br />.TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord= 100 ft. <br />Int. <br />Angle <br />,-Tangent <br />External <br />Angle <br />Angle <br />.Tangent <br />External <br />-Int. -: <br />Angle <br />-Tangent <br />External <br />106° <br />7603:5 <br />3791.0 <br />111° <br />-8336.7 <br />•4386.1 <br />416° <br />9169:4 <br />_5082.7• <br />10' <br />20° <br />3809.4 <br />- . 10'• <br />83fi2.7 <br />4107.6 <br />ld <br />9199.1 <br />5107.9 <br />20; <br />.7626.6 <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 />.9289,2 <br />5158.8 <br />;7696:3' <br />3865.2 <br />40 <br />8441.5 <br />4472.7 <br />40: <br />1.43 <br />5184.5 <br />.40 <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..`-9380.5 <br />.938 <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 />_' <br />.40 <br />8602.1 <br />46;06'.0 <br />40 <br />9473:2 <br />5341.5' <br />50 <br />7862.1 <br />3998.7 <br />50 <br />8629.3 <br />4628.G <br />50 ' <br />•9504:4 <br />5368.2 <br />108 <br />7886:2 <br />4018.2 <br />113 <br />8650.6 <br />.4651.3 <br />`118'.' <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />• 30 <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 />9598.9. <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 />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';4117.0 <br />9.21 <br />50 <br />8794.9 <br />476G.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 />4814:1 <br />J0- <br />9759.4 <br />5587.4 <br />20 <br />8082.3 <br />.4177.:1 <br />20 <br />8879.3 <br />`4837.8 <br />20 - <br />0792.0 <br />5615.5 <br />30'. <br />8107.3 <br />4197.9 <br />30 <br />8907.7.•4861.7 <br />,•,30, <br />9824:8 <br />5643.8 <br />40 <br />8132:3 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857:7 <br />5672.3 <br />50. <br />8157.5 <br />_4218.4 <br />4239.0 <br />50 <br />8965.0 <br />4909.0 <br />50 <br />9890.8 <br />5700.9 <br />110 • <br />8182.8 -.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'.4958.6 <br />10 <br />9957.5, <br />5758.6 <br />20 . <br />8233.7 <br />4301.4 <br />20 <br />.9051.7 <br />4983.1 <br />20 <br />0991:0: <br />5787.7 <br />30...'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 />5848-.5 <br />50 <br />8310.8. <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50, <br />10093.0 <br />587G.1 <br />Corrections to be Added (T `= Tangent E = External.) <br />Int. <br />Angle <br />Curve 5° <br />10° <br />.15° <br />20° <br />25° <br />30° <br />35° <br />40° <br />45° <br />50° <br />551 <br />60° <br />65° <br />. 70° <br />1000 <br />T =.43 <br />1 .86 <br />1.30 <br />1.74 <br />2.18 <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 />1.01 <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 <br />2.87, <br />3.34, <br />3.84 <br />4.35' <br />4.84 <br />5.35 <br />5.87 <br />8.40 <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 />4.59 <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 />115° <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 />.624 <br />.939 <br />1.28 <br />1.57 <br />1.89 <br />2.21. <br />2.54 <br />2.87 <br />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 />2.62:. <br />3.16 <br />3.81 <br />4.44 <br />b.11 <br />5:78 <br />8.44 <br />7.1 1 <br />7.80 <br />8.51 <br />9.21 <br />•E =.339 <br />.720 <br />1.08 <br />1:45 <br />1.52 <br />2 20. <br />2.L6 <br />2.95 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />