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V1 TABLE 1.- Tangents and Extemale to a 1°.Curve. <br />Chord � 100 ft. <br />Int. <br />Angle <br />Tangent <br />Extenlal <br />Angle <br />Angle <br />Tan mit <br />g <br />External <br />Int- <br />Angie <br />Tangent <br />L"xternal <br />85° <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />2518.5 <br />99° <br />6708.0 <br />3092.7 <br />10' <br />5205.6 <br />2052,1 <br />10' <br />:',950.5 <br />2531.0 <br />10' <br />G725A <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 />20 <br />985.3 <br />2550.0 <br />130 <br />G7G8.1 <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 />2531.3 <br />50 <br />0808.2 <br />31(,8.7 <br />8S <br />5343.0 <br />2104.7 <br />'93 <br />6037.8 <br />2594.0 <br />100 <br />682S.3 <br />3184.1 <br />10 <br />5358.6 <br />2115.2 : <br />10 <br />6055.4 <br />2(,06.8 <br />10 <br />6348.5 <br />3199.6 <br />20 <br />5374.2 <br />21?G.0 <br />20 <br />GU73.1 <br />2619.7 <br />20 <br />G868.8 <br />3215.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.3 <br />2632.6 <br />30 <br />6389.2 <br />3230.8 <br />40 <br />5.105.6. <br />2117.5 <br />40 <br />0108.6 <br />2045.5 <br />40 <br />0909.6 <br />3240.5 <br />50 <br />6421:4 <br />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />3202.3 <br />87 <br />5437.2 <br />21GE3'.2 <br />94- <br />61.14:3 <br />2671.6 <br />101 <br />G950.6 <br />3273.1 <br />10 <br />5453.1 <br />2150.2 <br />10 <br />6IG2.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />6992.0 <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 />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6216.4 <br />27214.5 <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 />2701.3 <br />102 " <br />7075.5 <br />3374.0 <br />10 <br />5549.2 <br />2246.7 <br />10 <br />6273.1 <br />27G4.8 <br />10 <br />7096.6 <br />3391.2 <br />'20 <br />5565.4 <br />22;;8.0 <br />-20 <br />6259.4 <br />2778.3 <br />20 <br />7117.8 <br />3407.7 <br />30 <br />5581.6 <br />2209.3 <br />30 <br />6307.9 <br />2792.0 <br />30 <br />7139.0 <br />3424-3 <br />40 <br />6597.8 <br />2280.6 <br />40 <br />6320.3 <br />2S05.G <br />40 <br />7160.3 <br />3140.9 <br />50 <br />6614.2 <br />2292.0 <br />�10 <br />6344.8 <br />2819.4 <br />50 <br />7181.7 <br />3157.6 <br />89 ' <br />5630.5 <br />2303:5 <br />96 <br />0363.4 <br />2833.2 <br />103 <br />7203.2 <br />1347.1.4 <br />10 <br />5646.9 <br />2315.0 <br />- 10 <br />G382A <br />2847.0 <br />10 <br />7224.7 <br />.3491.3 <br />20 <br />5663.4 <br />2326.6 <br />20 <br />•0100.8 <br />2361.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5679.9 <br />2338.2 <br />30' <br />0419.5 <br />2575.0 <br />30 <br />72G8.0 <br />3.-125.2 <br />'40 <br />5096.4 <br />2349.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3;542.4 <br />50 <br />5713.0 <br />'2361.6 <br />50 <br />6457.3 <br />2903.1. <br />50 <br />7311.7 <br />3550.0 <br />90 <br />5729.7 <br />2373.3 <br />97. , <br />647G.2 <br />2917.3 <br />164 <br />7333.0 <br />3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6495.2 <br />293 t.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 />240&.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.G <br />2974.7 <br />40 <br />7422.2 <br />3346.8 <br />60 <br />5813.6 <br />2432.9 <br />50 <br />657L.9 <br />2989.2 <br />50 <br />7444.G <br />3664.5 <br />91 <br />5830.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7407.0 <br />3082.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />1,0 <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 />'7557.7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 <br />50' <br />6GSS.B <br />3077.7 <br />50 <br />7550.5 <br />3772.6 <br />Corrections to be Added {T = Tangent. ' E. =External.) <br />-Int.Curse <br />Angle <br />5° 10° .15° 20° <br />25° <br />30° 35° 40° 45° 50° 55° 60° 65` 70° <br />95° <br />T=.33 .58 1.00 1.33 <br />1.68 <br />2.02 2.30 2.,0 3.05 3.40 3.77 4.14 4,55 4.99 <br />39iternal <br />E=.128 .259 •.391 .524 <br />.657 <br />.790 .926 1.06 1.20 1 34 1.47 1.52 1.76 1.91 <br />gp° <br />T=.36 .72 1.09 1.45 <br />1.83 <br />2.20 2.57 2.94 13.321 3.70 4.10 4.59 4.91 5.32 <br />9169.4 <br />0-.149 .299 .450 .603 <br />.756 <br />.910 107 1.22 1.38 1.54 1.70 1.87 2.03 2.20 <br />95° <br />1T=.29 .79 1 11.19 1.55 <br />2.00 <br />2.40 2.80 3.20 3.61 412 4.49 4.98 5.38 5.83 <br />11.62 <br />IO' <br />L=.174 .350 .5221 .706 <br />.985 <br />1.06 1.25 1.43 1.80 1.99 2.18 2.39 2.59 <br />DO* <br />T =.43 .86 1.30 1.74 <br />2.18 <br />2.62 3.06 3.50 3.95 4.40 4.89 5.37 5.85 6.34 <br />4429.2 <br />r::2.401 .604 .809 <br />1.01 <br />1.23 1.43 1.64 1.85 2.06 2.28 2.50 2.73 2.97 <br />105° <br />T - A4 .94 1.42 1.90 <br />2.38 <br />2.87 3.34 3.84 4.35 4.84 5.35 5.87 0.46 6.93 <br />.8415.1 <br />.E -;=O470 .700 .938 <br />1.17 <br />1.42 7.65 14012.14 2.3912. 61 2.90 3.18 3.51 <br />TABLE 1. - Tangents and'Externals;to a 1° Curve. - I <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 />39iternal <br />106°' <br />7603.5 <br />3791.0 <br />1.30 <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />5082.7 <br />10' <br />7620.6 <br />3809.4 <br />_111° <br />LW <br />8362.7 <br />4407.6 <br />IO' <br />9199:1 <br />5107.9 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />8385.9 <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 />5158.8 <br />40 <br />7696.3 <br />3365.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.6 <br />50 <br />7719.7 <br />3884.0 <br />50 <br />81168.0 <br />4494:6- <br />50' <br />9319.5 <br />.5210.3 <br />107 <br />7743.2 <br />3902.9 <br />"112 <br />5494.6 <br />4516.6 <br />.117 <br />9349.9 <br />.5236.2 <br />10 <br />7766.8 <br />3921.9 <br />10 <br />S521'.3. <br />4538.8 <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 />4583.4 <br />30 <br />9442.2 <br />5315.0 <br />40 <br />7839.1 <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 />5358.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />MO.G <br />4651.3 <br />1.18 <br />9535.7 <br />5395.1 <br />10 <br />7919.4 <br />4037.8 <br />10 <br />86&4.0 <br />4674.2 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7934.0 <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 />3U <br />8730.2 <br />4720.3 <br />30- <br />9030.7 ' <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 />5U <br />8794.9 <br />4766.9 <br />60 <br />9694..7 <br />5.531.7 <br />109 <br />5032.7 <br />4137.1 <br />114 <br />8822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />S057.4 <br />4157.3 <br />10 <br />8851.0 <br />4814.1 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />SOS2.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.3 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />5107.3 <br />4107.9 <br />30 <br />8907.7 <br />4361.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />5132.3 <br />4218.4 <br />40 <br />.8936.3 <br />4855.7 <br />. 40 <br />9857.7 <br />5672.v <br />'50 <br />8157.5 <br />4239.0 <br />'. 50 <br />8905.0 <br />4909.9 <br />50 <br />9590.8.5700.0 <br />.110 <br />81.82.8. <br />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 <br />4958.0 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />498321 <br />20 <br />9991:0 <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />9030.9 <br />5007.8 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />0110.3 <br />5032.6 <br />40 <br />10059.0 <br />5846.6 <br />50 <br />8310.8 <br />4304.8 <br />50 <br />9139.8 <br />.5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T = Tangent. E = Externa].) <br />Int. Curse 5° <br />Angle <br />1V15° <br />2p° <br />25° 30° 35° 40° <br />45° <br />50° <br />55° 60° <br />65° <br />70° <br />T=.43 <br />.88 <br />1.30 <br />1.74 <br />2.18 2.02 3.06 3.50 <br />3.95 <br />4.40 <br />4.88 5.37 <br />5.95 <br />8.34 <br />100; E=.200 <br />.401 <br />.604 <br />.809 <br />1.01 1.22 1.43 L04 <br />1.85 <br />2.06 <br />2.28 2.50 <br />2.73 <br />2.98 <br />T=.46 <br />1.42 <br />1.90 <br />2.23 2.87 3.34 3.84 <br />4.35 <br />4.89 <br />5.35 5.87 <br />8,40 <br />6.03 <br />105° E =.230 <br />.94 <br />.470 <br />.700 <br />•938 <br />1.17 1.42 1.65 1.90 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3.16 <br />3.41 <br />T=.50 <br />1.03 <br />5.55 <br />2.08 <br />2.60 3.14 SAG 4.21 <br />4.76 <br />5.31 <br />5.86 6.43 <br />7A1 <br />7.59 <br />110° <br />E=.260 <br />.535 <br />.808 <br />148 <br />1.36 1.83 1.91 2.19 <br />2.49 <br />2.61 <br />3.05 3.35 <br />3.65 <br />9.95 <br />T=•54 <br />1.13 <br />1.70 <br />2.29 <br />2.86 3.45 4.03 4.63 <br />5.23 <br />5.83 <br />8.44 7.07 <br />7,70 <br />8.85 <br />115° E=.307 <br />.624 <br />.939 <br />1.28 <br />11.57 1.89 2.21 12.64 <br />2.87 <br />3.20 <br />3.53 3.88 <br />4,23 <br />4.58 <br />120°_ T=.61 - <br />1.25 <br />1.89 <br />2.52 <br />3.16 3.81 4.44 5.11 <br />5.78 <br />6.44 <br />7.11 7.60 <br />8.51 <br />0.21 <br />E =.339 <br />.720 <br />1.03 <br />1.45 <br />1.82 2.20 2.:6 2.95 <br />3.33 <br />3.72 <br />4.10 4.50 <br />4.91 <br />bm <br />