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4 <br />VI <br />TAivl:r: I, -= Tangents'&nd Externals to a'1° Curve. <br />. Chord=160 ft. <br />Taigent External <br />Annglgie <br />g <br />External <br />Inc.Tangent <br />Angie <br />8 <br />13xterval <br />Ing. <br />Angle <br />Tangent <br />ExtemaI <br />85° <br />`5250.3 <br />2041.7 <br />92° .. <br />5933.2 <br />25 18, 5 <br />09° <br />6768.6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />10' <br />5930.5 <br />2531.0 <br />10' <br />0728.4 <br />3107.7 <br />20 <br />5281.0 <br />2062,5 <br />2U <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 />0768.1 <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 />86 <br />5343.0 <br />2104.7 <br />93" <br />0037.8 <br />2594.0 <br />100 - <br />6828.3 <br />3181.1 <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 />2120.0 <br />20 <br />0073.1 <br />2619.7 <br />20 <br />G868.8 <br />32L5.1 <br />30 <br />5389.9 <br />2180.7 <br />30 <br />0090.8 <br />2032.0 <br />- 30, <br />0889.2 <br />3230.8 <br />40 <br />5405.0 <br />2147.5 <br />40 <br />6108:6 <br />2645.5 <br />40 <br />G909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />53 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2109.2 <br />94'r144.3 <br />.401 <br />2671:6 <br />101 - ' <br />0950.6 <br />3278.1 <br />10 <br />5453.1 <br />2190.2 <br />10 <br />6102.6 <br />2684.7 <br />10 <br />6974.3 <br />3294.I <br />20 <br />51GU_0 <br />2191.1 <br />20 <br />0180.2 <br />2697.9 <br />20 <br />6092.0 <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 />5533.1 <br />2235:5 <br />95 <br />6252.8 <br />2751.3 <br />102 " <br />7075.5 <br />3374.9 <br />%lo <br />5549.2 <br />2246.7 <br />10 <br />6271.1 <br />2764.8 <br />.10 <br />7096.0 <br />3391.2 <br />20 <br />•5565.4 <br />2258.0 <br />'201 <br />USDA <br />2778.3 <br />:20 <br />7117'.8 <br />3107.7 <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 />2305.0 <br />'' '9.0 <br />7100.3 <br />3440.9 <br />505614.2 <br />8157.5 <br />2292.0 <br />50 <br />0344.8 <br />2819.4 <br />50 <br />7181:7 <br />3457.0 <br />110 <br />8182.8 <br />4250.7 <br />115 <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />.89.": <br />5630.5 <br />2303.5 <br />@Bt/ <br />6363.4 <br />2833.2 <br />103' <br />7203.2 <br />3474.4 <br />10 <br />'6646:9 <br />2315.0=10_ <br />20 <br />6382.1 <br />2847.0 <br />'10 <br />722.1.7 <br />3491.3 <br />20 <br />5363.4 <br />2326.G <br />20 <br />6100.8 <br />2561.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5670.9 <br />2338.2 <br />30 <br />0119.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />"40 <br />.5695.4 <br />2349.8 <br />:40 <br />6438.4 <br />2SS9.0 <br />40 <br />7289.8 <br />3542.4 <br />GO <br />6713.0 <br />2361.5 <br />'50 <br />8457.3 <br />2903.1 <br />50 <br />7311.7 <br />3359.0 <br />BO' <br />5729.7 <br />237313 <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 />0533.4 <br />2960.3 <br />30 <br />7390.9 <br />3620.2 <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 />@1 <br />5830.5 <br />2444.0 <br />98 <br />6591.2 <br />3003.8 <br />105' <br />7407.0 <br />3682':3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />"10 <br />7480:6 <br />3700.2 <br />20 <br />5864.6 <br />2469.3 <br />26 <br />663011 <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 />•5808.8 <br />2493.8 <br />. 40 <br />'6669,2 <br />3062.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />591 G.0 <br />250G.1 <br />50 <br />6088.8 <br />3077.7 1 <br />50 1 <br />7580:5 1 <br />3772.4 <br />Correction's"to beAdded. (T=Tangent, " E. External.). <br />Int. <br />Angke <br />`Curve 5°' <br />External <br />ls° <br />Tangent <br />External <br />30` <br />35° <br />40° <br />45° <br />'S0°- <br />.55° <br />60° <br />65° <br />-70" <br />;>35° <br />T=.33 <br />,.60 <br />1:00 <br />1.33 <br />1.68 � <br />2.02 <br />2.30 <br />j 2.70 <br />3.05 1 <br />3.40 <br />3.77 <br />4.14 <br />'1.02 <br />4.55 <br />4.89 <br />20 <br />r=.128' <br />.259 <br />.391 <br />.524 <br />.657 <br />-.790 <br />.920 <br />1.00 <br />1.20 <br />.L3# <br />.1.47 <br />30 <br />1.76 <br />1.91 <br />900 <br />T=.35 <br />.72 <br />JLDD <br />LH ' <br />1.83 <br />'•.756 <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 />50 <br />E=.149 <br />.299 <br />.450 <br />.003 <br />3902:9 <br />.910 <br />1.07 <br />1.22 <br />1.38 <br />4.54' <br />1.70 <br />1.87 <br />2. 3 <br />2.20 <br />.9 <br />T=.30 <br />.70 <br />1.19 <br />11.55 <br />200- 2.40 <br />2.80 <br />3.20 <br />13.61 <br />4.02 <br />4.49 <br />4.98 <br />5.38 <br />5.83 <br />5288.6 <br />L=.174 <br />.350 <br />,522 <br />.706 <br />.985 <br />L 06 <br />1 25 <br />1.43 <br />1.62 <br />1.80 <br />1.99 <br />2.I8 <br />2,38 <br />2.58 <br />1 J9° <br />T=.43 <br />'86 <br />1.30 <br />1.74 <br />12.18 <br />2.52 <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 />4018.2 <br />E=.200 <br />.401 <br />.60# <br />.809 <br />LOl <br />L22 <br />L43' <br />1.64 <br />1.85 <br />2.08` <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />105°. <br />T =.46 ' <br />.94 <br />1.42 <br />1.00 <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 />6.40 <br />6.93 <br />4720.3 <br />E =.2y0 <br />.470 <br />.7001 <br />.938 <br />L17 <br />1.42 <br />1.Gi <br />8767.0 <br />4743.6 <br />2.39 <br />2.64 <br />2.00'3.41 <br />50 <br />8008.0 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord=200 ft. <br />Inc. <br />AnSle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Atigle <br />Tanmt <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336:7 <br />4386.1 <br />11V <br />9169.4 <br />5082.7: <br />30' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.G <br />IO! <br />0199.1 <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 />3890.5 <br />30 <br />84.15.1 <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 />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 />20 <br />6548:1 <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 />4628.0 <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 <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 <br />4117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />5032.7 <br />4137.1 <br />114 <br />S822.9 <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 />86S2:3 <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 />8907.7 <br />4861.7 <br />30, <br />9524.8 <br />5643.8 <br />40 <br />-8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4585.7 <br />'" 40 <br />0857.7 <br />5672. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />.9890.8 <br />- 5700.9 <br />110 <br />8182.8 <br />4250.7 <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 />498321 <br />20 <br />9991.0 <br />5787.7 <br />30. <br />8259.3 <br />4322.4 <br />30 <br />0080:9 <br />5007.8 <br />30 <br />10025.0 <br />5817,.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />01I0.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />i <br />8310.8 <br />4364.8 <br />50 <br />0139.8' <br />5057.6 <br />50 <br />10003.0 <br />5876.1 <br />Corrections to be Added (T =Tangent. E=External.) <br />lilt <br />Angle Cam 5° <br />10° 15° <br />20° 25° <br />30° <br />35° 40° 45° <br />50° <br />550 <br />60° <br />65° .70° <br />100° T=.4388 <br />1.30 <br />1.74 2.18 <br />2.62 <br />3.06 3.50 8.95 <br />4.40 <br />4.88 <br />537 <br />5.65 .134 <br />E =.200 <br />.401 ..605 <br />.809 1.01 <br />1.22 <br />1.43 1.64 1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 2.96 <br />1.42 <br />1 <br />105° E-230 <br />.470 .700 <br />.938 1.17 <br />1.42 <br />1.65 1.90 2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 3.41 <br />110° ' T=.50 <br />1.03 1.55 <br />2.08 2.60 <br />3.14 <br />3,66 4.21 4.76 <br />6.31 <br />5.86 <br />6.43 <br />7.01 7.59 <br />>a=.260 <br />.535 .808 <br />1.08 US <br />1.63 <br />1.91 2.19 2.49 <br />2.61' <br />3.05. <br />3.35 <br />3.65 3.95 <br />T=.54 <br />1.13 1.70 <br />2.29 2.86 <br />3.45 <br />4.03 4.63 5.23 <br />5.83 <br />6.44 <br />7.07 <br />7.70 8.35 <br />115' E=.307 <br />.624 .939 <br />1.25 1.57 <br />IS9 <br />2.21 2.54 2.87 <br />3.20 <br />3.53 <br />3.58' <br />4.23 4.0 <br />120° T-61 <br />1.25 1.89 <br />2.52 13.10 <br />3.81 <br />4.44 5.11 5.78 <br />0.44 <br />7.11 <br />7.80 <br />8.51 9.21 <br />E-330 <br />.720 1.09 <br />1.45 1.82 <br />2.20 <br />2.06 2.95 3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 5.89 <br />B11 <br />