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0111' 1 <br />VI TAni.E I. -'Tangents and Exte'rnals-to a 19 Curve. <br />Chord =100 ft. <br />'Angle <br />Tangent <br />t External <br />; Ang e1 <br />( Tangent I <br />15933.2 <br />External <br />Angle <br />Tangent <br />External <br />85° <br />5250:3 <br />2041.7 <br />92°" <br />.926 1.06 1.20 1.34 1.47 <br />2518:5 <br />99°,; <br />6708.6 <br />3092.7 <br />1T <br />5265.0 <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 />2550.0 <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 />107 <br />(5343'.0 <br />3902.9 <br />112 <br />8494,.6 <br />4516.6 <br />117 <br />9349.9 <br />5236.2 <br />86'"-r <br />,7766.8 <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 />605.5:4 <br />2606.8 <br />10 <br />G948:5 <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 />30. <br />5389.9 <br />2136.7 <br />'30 <br />6090.8 <br />2632.6 <br />30' <br />6889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.6 <br />2645.5 <br />'40 <br />6909.6 <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 />.94 <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />. <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 />BO <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 />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0 <br />2224.3 <br />"50 <br />1 <br />6234.0 <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 />2246.710 <br />20 <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 />6259.4 <br />2778.3 <br />" 20 <br />7117.8 <br />3407.7 <br />:30 <br />5551.6 <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 />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 />2315.0 <br />10 <br />6382.1 <br />2847.0 <br />'10 <br />7224.7 <br />3491.3 <br />20, <br />566.3.4, <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 />7208:0 <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 />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311'.7 <br />3559.6 <br />90 ". 1 <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.G <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 />2420.0 <br />40 <br />6552.6 <br />2974.7 <br />40" <br />7422.2 <br />3646.8 <br />" 50' <br />5813.6 <br />2432.0 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3664.5 <br />81 <br />5530.'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 />MCA .G <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 />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 />Ing. : <br />Angle Curve 5° 10° I I5° 20° <br />1 25° <br />30° <br />35° 40° 1 45° 50° 55° <br />60° 651 70° <br />S5o T=.33 .66 1.00 1.33 <br />1.68 <br />2.02 <br />2.35 2.70 3.05 3.40. 3.77 <br />4.14 4.55 4.89 <br />E=.128 -.259 .801 .524 <br />.657 <br />.790 <br />.926 1.06 1.20 1.34 1.47 <br />1.62 1.76 1.91 <br />90° T =.36 .72 1.09 1.45 <br />11.83 <br />2.20 <br />2.57 12.94 3.32 3.70 4.10 <br />4.50 4.91 5.32 <br />E-.149 .299 .450 .603 <br />.756 <br />.910 <br />1.07 1.22 1.38 1.54 1.70 <br />1.87 2.03 2.20 <br />95° T =.39 "r9 1.19 1.55 <br />2.00 <br />2.40 <br />2.80 3.20 3.61 4.02 4.49 <br />4.98 5.38 5.83 <br />E =.1'1 .350 .522 - .706 <br />.955 <br />1.06 <br />1.25 11.43 1 1.62 1.80 1.99 <br />2.18 2.38 2.58 <br />100° T=.43 .86 1.30 1.74 <br />2.18 <br />2.G2 <br />11.23 <br />3.06 3.50 3.95 4.40 4.88 <br />5.37 5.SL <br />E =.200 .401 .604 .509 <br />1.01 <br />30' <br />1.43 1.64 1.85 MG 2.28 <br />2.50 2.73 2.96 <br />105° T =.40 94 1.92 1.90 <br />2.38 <br />2.87 <br />3.34 3.84 4.35 4.84 5.35 <br />0.87 6.40 6.93 <br />12.90 13.4 <br />1',=.230 9701 :700 .03811.17 <br />40 <br />1.42 <br />1.65 1.00 2.14 2.39 2.64 <br />3.IG <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord =100 it. <br />Angel <br />I.7603.5'.3791:0 <br />Tangent <br />External <br />Angle <br />Tangent <br />Eztc:mai <br />Angie <br />TangenC <br />External; <br />106° <br />Angle Curve 5° <br />110° 15° <br />'111° <br />8336.7 <br />4356.1 <br />116° <br />9160.4 <br />5052.7" <br />10' <br />:7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.3 <br />10' <br />9199.1 <br />5107'.9 -' <br />20 <br />7649.7 <br />3S27.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9`2'29.0 <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 />7606.3 <br />3S65.2 <br />40 <br />5441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />.50 <br />7719.7 <br />,3S84.0 <br />50 <br />8468.0 <br />4404.5 <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 />392 1. 9 <br />10 <br />8521..3" <br />4538.5 <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 />4553..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 />e <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 />0535.7 <br />5395:1 <br />10 <br />7910.4, <br />4037.8, <br />10 <br />8084.0 <br />9674.2 <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.:5449.2 <br />30 <br />7959.0 <br />4077:2' <br />30 <br />' 5739.2 <br />4720.3 <br />30 ' <br />9630.7 <br />5476.5 ' <br />40 <br />7983.5. <br />4097.1- <br />40 <br />8707.0 <br />4743 6 <br />40 <br />9G62.6 <br />5504.0 <br />50 <br />8008.0 <br />4117.0 <br />,. 50 <br />I <br />8794.9 <br />4766.9 <br />50 <br />0694.7. <br />'5531.7 <br />109 <br />8032.7 <br />4137.1 <br />1-14 <br />8822.9 <br />47900 <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'..8 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3' <br />4197.9 <br />30 <br />5907,7 <br />48431.: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 />0857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />.4969.9 <br />50 <br />9890.8 <br />5700.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.8 <br />493. 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 />9051,7 <br />4953,1 <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 />43614.8. <br />_ <br />50 <br />9130..5 <br />5057,.6 <br />50 ' <br />10093.0 <br />5876.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />int. <br />Angle Curve 5° <br />110° 15° <br />20° 25° <br />30° <br />35° <br />40°' <br />45° 50° <br />55° <br />60° <br />65° 70° <br />100° T=.43 <br />.86 1.30 <br />1.74 2.13 <br />2.62 <br />3.06 <br />3.50 <br />3.95 4.40 <br />4.85 <br />5,37 <br />5.8.5 6.34 <br />F.=.200 <br />.4011 .604 <br />.809 1.01 <br />1 22 <br />1.43 <br />1.64 <br />1.85 2.06 <br />2.28 <br />2,50 <br />2.73 2.96 <br />105° T=AG <br />.94 1.42 <br />1.00 2.38 <br />2.87 <br />3.34 <br />3.&6' <br />4.35 4.84 <br />5.35 <br />5.87 <br />6.40 6.93 <br />E =.230 <br />.470 .700 <br />.938 1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 2.39 <br />2.64 <br />2.90 <br />MG 3.41 <br />110° T=.5U ' <br />1.03 1.55 <br />2.08 2.60 <br />3.14 <br />3.66 <br />4.2ll <br />4.76 5.31 <br />5.86 <br />G,43 <br />7.01 7.59 <br />E =.260 <br />.535 .808 <br />1.08 1.36 <br />1.03 <br />1.91 <br />2.10 <br />2.49 2.61 <br />3.05 <br />3.35 <br />3.65 3:95 <br />115° T=.54 <br />1.13 1.70 <br />2.29 2.81 <br />3.45 <br />4.03 <br />4.63 <br />1 <br />5.23 5.83 <br />6.44 <br />7,01 <br />7.70 8.35 <br />E=.307 <br />.624 .939 <br />1.26 1.57 <br />1.R9 <br />2.21 <br />2.51 <br />2.87 3.20 <br />3.53 <br />3,88 <br />4.23 4.58 <br />1200 T=.61 <br />1.25 1.89 <br />2.52 3.16 <br />3.81 <br />40.1 <br />5.11 <br />5.7R G.44 <br />^.I1 <br />7.50 <br />8.51 9.21 <br />E=.339 <br />.720 1.08 <br />11.45 1.82 <br />2.20 <br />( 2.56 <br />12.95 <br />3.33 3.721 <br />4.101 <br />4,50 <br />4.91 5.32 <br />c <br />L <br />