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vI TABLE I. --rTangents and -Externals to a'1° Curve. <br />' Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />g ' <br />External <br />Int <br />• AnglcI <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />85° <br />5250:3 <br />2041.7 <br />9,2.° <br />5933:2 <br />2518.5 <br />93°''= <br />6708.E <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 />5935.3 <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 />6788.1 <br />3153.3 <br />t. 50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6308.2 <br />3163.7 <br />86 <br />5343'.0 <br />2104.7. <br />93 <br />6037.S <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 />6848.5 <br />3199.6 <br />20 <br />'5374:2 <br />2126.0 <br />'20 <br />6073.1 <br />2619.7 <br />20. <br />6368.8 <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 />610S.G <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 />'ST <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 />2150.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971-.3 <br />329.1.1 <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 />'543-1.9 <br />2202.2 <br />30' <br />6198.3 <br />2711.2, <br />.. 30 <br />17012.7- <br />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6216.4 <br />2724.6 <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 />10 <br />5549.2 <br />2246.7 <br />10' <br />6271.1 <br />2764.8 <br />10 <br />.7006.6 <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 />4581.6 <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 />b0 <br />5614.2 <br />2292.0 <br />60 <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 />6362.1 <br />2847.0 <br />10 <br />7224.7 <br />3401.3 <br />20. <br />5663'.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 />233S.2 <br />30 <br />6419.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5606.4 <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 />r� <br />99 <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 />57G3.1 <br />2397.0 <br />20 <br />13514.3 <br />2045.9 <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 />2420.11 <br />40 <br />13552.6 <br />2074.7 <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 />7444.0 <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 />2157.1 <br />1,0 <br />6610.6 <br />3015.4 <br />10 <br />7489.6 <br />37UU.2 <br />205864.6 <br />2469.3 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7512.2 <br />3718.2 <br />w5581.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.0 <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 />TABLE I.---- Tangents and Externals to a 1° Curve. - VII <br />Chord =100 ft. <br />Int. <br />Angle <br />Curve 51 10° 15° 20° <br />25° ' <br />39° 35° 40° 45° 54°' 55° 60° ' 65° <br />70° <br />Angle <br />- <br />Tangent <br />External <br />100° <br />$5° <br />T=.33 . ,66 1.00 1.33 <br />1.68 <br />2_.02 2.36 2.70 3.05 3.40 3.77 2 4.14 4.55 <br />4.80 <br />110° <br />E=.128' .259 ,391 :52-1 <br />G57 <br />.70 .790 .926 1.05 P 20 1.34 1.47 1.62 1.76 <br />, <br />1.91 <br />90° <br />T=.36 .72 1.09 11.45 <br />1.63 <br />2.20 2.57 2.94 3.32 3.70 4.10 4.50 4.91 <br />5.32 <br />9190.1 <br />E =.149 .299 ,4N .603 <br />.756 <br />.910 1.07 £.22 1 38 1.54 1.70 1.87 2:03 <br />2.20 <br />95° <br />T=.39 .79 1.19 1.b5 <br />2 D0 <br />2.40 2.80 3 20 3.61 4.02 9.49 14.98 5.38 <br />5.83 <br />5133.3 <br />E=.174 .350 .522 .706 <br />985 <br />1.06 1.25 1.43 1.62 1.80 1.99 2.18 2.38 <br />2.5S <br />100° <br />T=.43 .8G 1.30 1.74 <br />12.18 <br />12.62 3.06 3.50 3-95 4.40 4.8815.37 5.85 <br />6.34 <br />40 <br />E=.200 .401 .601 .809 <br />1.01 <br />11.22 1.43 1.64 1.85 2.06 2.29 2.50 2.73 <br />2A6 <br />105° <br />T=.46 .94 11.42 1150 <br />2.38 <br />2.37 3.34 3.84 4.35 4.84 5.35 5.87 6.40 <br />6-¢% <br />7719.7 <br />E=.230 .4701 .700 .938 <br />1.17 <br />1.42 1.65 1.90 2.14 2.39 2.64 2.90 3.16 <br />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 />Int. <br />Angle <br />Tangent <br />External <br />100° <br />7603.5 <br />3791.0 <br />1111 <br />8336.7 <br />4386.1 <br />110° <br />9169:4 <br />5082.7 <br />10' <br />7620.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />10' <br />9190.1 <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 />3546.5 <br />30 <br />8415.1 <br />4450,4 <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 />9280.2 <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 />207790.5 <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 />3900.1 <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 />50 <br />9504.4 <br />5303.2 <br />108 <br />7886.2 <br />4013.2 <br />113 <br />8650.6 <br />4G51.3 <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 />s^0 <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 />•1077.2. <br />', 30 <br />8739.2 <br />4720.3 <br />30 <br />9630:7 <br />6476.5 <br />40 <br />7983.5 <br />'IW7.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />.9662.6 <br />5504.0 <br />50 <br />808.0 <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 />111 <br />8822.9 <br />4790.4 <br />119 <br />0727.0 <br />5559.4 <br />10 <br />8057.4 <br />4137.3 <br />10 <br />8851.0 <br />4814.1 <br />10 <br />0759.4 <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 />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 />567.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4009.0 <br />50 <br />9890.8 <br />570 .9 <br />110 <br />8182.8 <br />'4259.7 <br />115 <br />8993.8 <br />493.1.1 <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 />4983.1 <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 />82S5:0 <br />4343.6 <br />40 <br />9110.3 <br />5032.0 <br />40 <br />100.59.0 <br />59,16.5 <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 />1❑t, <br />Angle <br />{cam 5° <br />10' 15° 20' 2.5° <br />30° <br />35° <br />40° <br />45°' I 50° 55° 60° -65° 70° <br />lOp° <br />T =.43 <br />.813 1-30 11.74 12.18 <br />2.G2 <br />3.06 <br />3.50 <br />3.95 4.40 4.88 5.37 5.85 6.34- <br />E =.200 <br />.401 .601 .809 1.01 <br />1.z2 <br />1.43 <br />1.54 <br />1.85 2.06 2.28 2.50 2.73 2.96- <br />105° <br />T =.46 <br />.94 1,42 1.90 2.33 <br />2.37 <br />3.34 <br />3.31 <br />4.35 4.84 5.35 5.87 G.40 6.93 <br />E =.230 <br />.470 .700 .933 1.17 <br />1.42 <br />1.05 <br />1.00 <br />2.14 2.39 2.64 2.90 3.16 3.41 <br />110° <br />'T=.50 <br />1.03 1,55 2-08 2.60 <br />3.14 <br />3.6G <br />4.2t <br />4.76 5.31 5.86 0.43 7.01 7.59 <br />E =.260 <br />.535 .$08 1.08 1.36 <br />1.63 <br />1.91 <br />2.10 <br />2.49 2.61 3.05 3.35 3.65 3,95 <br />115° <br />T=.54 <br />1.13 1.70 2 19 2.86 <br />3.45 <br />4.03 <br />4.63 15.23 <br />5.83 6.44 7.07 7.70 8.35 <br />E-307 <br />.624 .939 1.2G L5l <br />1.89 <br />2.21 <br />2.54 <br />2.87 3.20 3.53 3.88 4.23 4.58 <br />120' <br />T=.61 <br />1.25 1.89 282 3.16 <br />3.81 <br />4.44 <br />5.11 <br />5.78 6.44 7.11 7.80 8.51 9.21 <br />E =.339 <br />.730 1.06 1.45 1.82 <br />2.20 <br />286 2.95 <br />3.33 3.72` 4.10 4.50 4.91 5,32 <br />
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