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VI <br />j 1'a1sr.E I. - Tangents and Externals to a 1° Curve. <br />rh'nrd =100 ft - <br />Int. <br />Tangent <br />External <br />i <br />Int. <br />Angle <br />I I Tangent <br />I <br />I External <br />Int. <br />AngleExternal <br />Tangent <br />E <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 />32V5.G <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />G728.4 <br />3107.7 <br />20 <br />"2SI.0 <br />2,)612.5 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />6745:2 <br />3122.9 <br />30 <br />•5290.4 <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 />6785.1 <br />3153.3 <br />50 <br />5327.4 <br />2034.1 <br />50 <br />60210.2 <br />2551.3 <br />50 <br />-6805.2 <br />3168.7 <br />86 <br />5313.0 <br />2104.1 <br />93 <br />6037.8 <br />2594.0 <br />)100 <br />6528.3 <br />3184.1 <br />10 <br />5358.6 <br />2115.3 <br />10 <br />6955.4 <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 />2519.7 <br />20 <br />6868.8 <br />321.5.1 <br />_ 30 <br />5359.9 <br />2136.7 <br />3U <br />6090.8. <br />2632.6 <br />.30' <br />6859.2 <br />3230,8 <br />40 <br />5405:6 <br />2147.5 <br />40 <br />6103.6 <br />264'5.5 <br />40 <br />6909.6 <br />3246.5 <br />50 <br />5421A. <br />21158.4 <br />50 <br />8126.4 <br />2658.5 <br />50 <br />6930.1' <br />3262.3 <br />87 <br />5437.2- <br />21.69.2 <br />94 <br />6144.3 <br />2671.6'101 <br />118 <br />6950:6 <br />3278.1 <br />10 <br />5453.1 <br />21330.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3204.1 <br />20 <br />6469.0 <br />21r 1 <br />20' <br />6150.2 <br />4697.2 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />548.1.9 <br />2802.2 <br />30 <br />6198.3 <br />.2697.9 <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 />6234.6 <br />2737.0 <br />50 <br />7054:5 <br />3355.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />0_'52.5 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />•5549.2 <br />224.6.7 <br />10 <br />627 1. 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 />22SO.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 />::0 <br />6344.8 <br />2319,4 <br />50 <br />7181:7 <br />3457,6 <br />89 <br />45630.5 <br />2303.5 <br />96 <br />6363.4 <br />2533.2 <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 />5603.4 <br />2326.6 <br />20 <br />G400.8 <br />2861.0 <br />20 <br />7246,3 <br />3508.2 <br />30- <br />5679.9 <br />2335.2 <br />30 <br />6419.5 <br />2&75.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />• 5696.4 <br />2349.8 <br />40 <br />.6438.4 <br />2SS9.0 <br />40 <br />7289.8 <br />354 2. 4 <br />50. <br />5713.0 <br />2301.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />3559:6 <br />90 <br />5720.7 <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 />23S5.1 <br />10 <br />6495,2 <br />2981.6 <br />10 <br />7355.6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2940.9 <br />20 <br />7377.8 <br />3611.7 <br />f 30 <br />5770.0 <br />2408.9 <br />30 <br />6533.4 <br />29GU.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 />5313.6 <br />2432.9 <br />50 <br />6571.9 <br />29S9.2 <br />50 <br />7444.6 <br />3664.5 <br />81 <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 />61610.6' <br />3018.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />5564.6 <br />2469.3 <br />20 <br />6690.1 <br />3033.1 <br />20 <br />7512:2 <br />3718.2 <br />;30' <br />5SS1.7 <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 />1 2506.1 <br />50 <br />1 6658,3 <br />1 3077.7' <br />50 <br />J.7580.5 <br />1 3772.6 <br />! Corrections to be 'Added (T = Tangent.. E. = External.) <br />1 I <br />I r <br />Int. <br />Anew <br />Curve+5'1 <br />External <br />15° <br />20° 25° 30° 35° 40° <br />45° <br />50° 55° 60° <br />65° 70° <br />85o <br />T=.31.00 <br />7603.5 <br />3791,0 <br />1.33 1.68 2.02 2.35 2.70 <br />3.03 <br />3.40 °.77 4.14 <br />4.55 4.89 <br />91G9.4 <br />E =.1 <br />10' <br />.391 <br />.524 .657 .790 ,926 1.06 <br />1.20 <br />.1.34 1.47 1,62 <br />1.76 1.91 <br />� 90° <br />T=.36 <br />.72 <br />1,09 <br />1.45. 1,83 2.20 57 '294 <br />3.32 <br />3,70 4.10 4.50 <br />4,91 5.32 <br />4429.2 <br />E=.149 <br />.299 <br />.450 <br />.603 .156 910 1.07 1,22 <br />1.38 <br />1.54 1.70 1.87 <br />2.03 2.20 <br />" 95° <br />T=.30 <br />.79 <br />1.19 <br />1.55 2.00 12.40 • 2.80 3.20 <br />3.61 <br />4.02 4.49 4.98 <br />5.33 5.83 <br />40 <br />E =.174 <br />.350 <br />.522 <br />.706 ,965 1.06 1.25 1:43 <br />1.62 <br />1.80 1.99 2.18 <br />2.38 2.58 <br />100°. <br />T=.43 <br />.86 <br />1.30 <br />1.74 2.18 2:02 3.06 3.50 <br />12:02'-13 <br />395 <br />4.4014X8 5.37 <br />5.85 j 6.34 <br />- _ <br />E=.200 <br />.401 <br />.604 <br />.809 1.01 1.22 1.43 1:64 <br />1.85 <br />2.00 2.23 12.50 <br />2.73 f 2.96 <br />105° <br />T=.48 <br />941.42 <br />10 <br />1.00 2.38 2.87 3.34 3.84 <br />4.35 <br />4.84 5.35 5.87 <br />6 40 6.93 <br />5262.3 <br />P=.230 <br />.4704 <br />.700 <br />,03812117 21,42 1.65 1.90 <br />`2.14 <br />2.39 3,64 290 <br />`3.16 3.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord= 100 ft. <br />Int.Int. <br />Angle (Tangent <br />Line 5° 10' 15° <br />External <br />Anglo <br />'Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />Exteinal <br />1OG°- <br />7603.5 <br />3791,0 <br />111° <br />83361.7 <br />4386.1 <br />116°• <br />91G9.4 <br />5032,7 <br />10' <br />7626.6' <br />3509.4 <br />10' <br />8362.7 <br />4407.G <br />10' <br />9199.1 <br />5107.9 <br />20 <br />7649.7 <br />3527.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />•9229.0 <br />5133.3 <br />30 <br />7672,0 <br />3546.5 <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 />8.441.5 <br />4472.7 <br />40- <br />9289.2 <br />5154.5 <br />50 <br />7719.7 <br />3334.0 <br />50 <br />8468.0 <br />4494.6 <br />50 <br />9319.5 <br />5'2110.3 <br />107 9 <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 />7766.5 <br />3921.9 <br />10 <br />8521.3 <br />4538.8 <br />10 <br />0350.5 <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 />45S3.4 <br />30 <br />0=142.2 <br />5315:0: <br />40. <br />7838.1 <br />39794 <br />40 <br />8602.1 <br />4606.0 <br />40 <br />0473.2 <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 />7586.2 <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 />467.1.2 <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 />959S.b <br />544.9.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />3739.2 <br />4720.3 <br />.30 <br />0630.7 <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 />8794.0 <br />4766.9 <br />50 <br />'9694.7 <br />5531.7 <br />109 <br />8032.7• <br />4137.1 <br />114 <br />8522.9 <br />4790.4 <br />119 <br />9727.0 <br />"5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />8351.0 <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 />8907.7 <br />4803.7 <br />30 <br />9824.5 <br />SG43.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857.7 <br />5617'2.3 <br />50' <br />5157.5 <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 />4259.7 <br />115 <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />55729.7 <br />10 <br />5208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9957:5 <br />5755.6 <br />20 <br />5233.7 <br />'4301_4 <br />20 <br />9051.7 <br />4933.1 <br />20 <br />9991:0 <br />5787.7- <br />787.730 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />9050.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0. <br />40 <br />8285.0 <br />4343.G <br />40 <br />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />•5S46.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5576.1 <br />L� <br />4, <br />X49 <br />- <br />16;,3a <br />`= <br />Corrections to be Added (T = Tangent. E = External.) <br />Int. <br />Line 5° 10' 15° <br />20° 259 30° 35° <br />40° <br />45° 50° <br />55° <br />60° <br />65° <br />701 <br />Angle <br />1.30 <br />71 <br />100° <br />E .2� .101 <br />1,809 1.01 1.22 1.43 <br />1.64 <br />1.85 2.0 <br />2.S°I <br />2.10 <br />5.83 <br />2.96 <br />1.938 <br />105° <br />E=.230 .47011. 00 <br />1.17 1.42 1.65 <br />1 90 <br />2.14 2.31) <br />2.61 <br />2.90 <br />'3.16 <br />3 91 <br />T=,50 1.03 1.55 <br />2.03 2.60 3.14 3.66 <br />4."_1 <br />4.76 5.31 <br />5.80 <br />6.43 <br />7-01 <br />7.59 <br />110° <br />E=.260 .535 .808 <br />1.04 1.36 1.63 1.91 <br />2.19 <br />2.49 2.011 <br />3.05 <br />3.35 <br />3.65 <br />3.05 <br />115° <br />T=.54 1.13 1.70 <br />8=.307 .624 939 <br />2.29 2.86 3.45 4.03 <br />1.26 7.57 1,89 2.21 <br />4.G3 <br />2.54 <br />5 23 5.83 <br />2.S7 3.20 <br />6:4.1 <br />3.53 <br />7.07 <br />3.88 <br />7.70 <br />4.23 <br />8.35 <br />4.58 <br />T=.61 1 '5 1.89 <br />2.52 3.16 3.81 4.44 <br />5.11 <br />5.78 0.x4 <br />7.1! <br />".So <br />3.51 <br />9.21 <br />120° <br />4 E= 339 J 1.08 <br />1.45 1.82 2,20 2,56 <br />2.95 <br />3.33 3.72 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />