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VI TABLE.1- Tangents,a'nd Externals'to a 1° Curve. <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 />I Tangent <br />External <br />85° <br />5250.3. <br />2041.7 <br />t12- ." <br />5933.2' <br />2518:5 <br />4 99°- <br />6708.6 <br />3092.7 <br />10' <br />5205.G <br />2052.1 <br />',10' <br />5950.5 <br />2531.0 <br />,'10 <br />6728.4 <br />3107.7 <br />20 <br />5251.0 <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 />20S3.5 <br />40 " <br />6002.7 <br />25G8.G <br />j 40 <br />0788.1 <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 />80 -; <br />5343.0 <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 />6055.4 <br />2606.8 <br />10 <br />GS48.5 <br />3199.6 <br />'20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />2619.7 <br />'20 <br />6568.8 <br />3215.1 <br />30. <br />5359.9 <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 />3362,3 <br />87 <br />5437.2 <br />2169.2 <br />94 <br />G144.3 <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 />2654.7 <br />10 <br />6971.3 <br />3294.1 <br />-20 <br />5469.0 <br />2191.1 <br />20 <br />6186.2. <br />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <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 />6234.6 <br />2737.9 <br />50 <br />7054:5 <br />3358.5 <br />BB- <br />55-33..1 <br />2235.5 <br />95 <br />6252.8 <br />2751.3 <br />.1 <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 />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 />2280.6 <br />'40' <br />6328.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />50 <br />.5614.2 <br />2292.0 <br />50 <br />6344.3 <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 />231.5.0 <br />i 10- <br />6382.1 <br />2847.0 <br />'10 <br />7224.7 <br />3491.3 <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 />430 <br />5679.9 <br />2335.2 <br />30 . <br />6419.5 <br />2375.0 <br />'30, <br />7268.0 <br />3525.2 <br />'40. <br />5696.4 <br />2349.8 <br />40 <br />6438.4. <br />2859.0 <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 <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 />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 />2420.9 <br />" 40- <br />6552:G <br />2974.7 <br />40 <br />7422.2 <br />3646.8- <br />.50 <br />5813.6 <br />2432.9 <br />50 <br />0571.9 <br />2989.2 <br />50 <br />7444.6 <br />3664.5 <br />91 <br />5530.5 <br />2444.9 <br />986591.2' <br />3003.S' <br />105 <br />7467.0 <br />3GS2.3 <br />10 <br />5847.5 <br />2457.1 <br />110 <br />6610.6 <br />3018.4 <br />"10 <br />7459.6 <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 />5831.7 <br />2481.5 <br />30 <br />6649.0 <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 />7530.5 <br />3772.6 <br />Corrections to be Added (T = Tangent. E. =External.) <br />int' Carve 5° 10° 15° •20° 25° 30° 35° '40° <br />Angle <br />45° 50° 55° <br />60° <br />65° 70° <br />850 T=.33 .66 1.00 1.33 1.68 2.02 2.36 2.70 <br />3.05 3.40 3.777 <br />4.14 <br />4.55 4.89 <br />E=128 59 _ 2 :391 .524 '.657 .790 .926 1.06 <br />1.20 1.34 1.47 <br />1.62 <br />1.70 1.91 <br />90°. T=.3G .72 1.09 1.45 1.83 2.20 2.57 2.94 <br />3.32 3.70 4.10 <br />4.50 <br />4.91 5.32 <br />E=.149 .299 •.450 .603 .756 .910 1.07 1:22 <br />1.38 1.54 1.70 <br />1.87 <br />2.03 2.20 <br />950 T=.39 . .79 1.19 1.55 2.00 2.40 2.80 3.20 <br />3.61 4.02 4.49 <br />4.98 <br />5.38 5.83 <br />'E=.174 '.350 .522 .706 .985 LOG 1.25 1.43 <br />1.62 1.80 1.99 <br />2.18 <br />2.38 2.58 <br />1000 T=.43 .86 1.30 1.74 2.13 2.62 3.00 3.50 <br />3.95 4.40 4.88 <br />1 <br />12.00 <br />5.37 <br />5.85 6.34 <br />E=.200 .401 .604 .809 1.01 1.22 1.43 1.64 <br />1.85 2.28 <br />2.50 <br />2.73 2•�G <br />105° T=.46 .94 1.42 1.00 2.33 2.87 3.34 3.34 <br />4.35 4.84 5.35 <br />5.87 <br />6.40 6.93 <br />E=.230 ' :470 .700 .93811.17 l iA2 1.65 1.90 <br />2.14 2.39 2.64 <br />2.90 <br />3.16 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 />106* <br />'7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />91GO.4 <br />5082.7 <br />10' <br />7620.6 <br />3809.4 <br />10! <br />8362.7 <br />4107.6, <br />10' <br />9199.1 <br />5107.9 <br />20 <br />1.01 1.22 <br />3827.9 <br />20 <br />8388.9 <br />4429.2; <br />20 <br />9229.0 <br />5133.3 <br />30 <br />.7649.7 <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 />.5184.5 <br />50 <br />7719.7 <br />3884.0 <br />-50 <br />8463,0 <br />4494.& <br />50 <br />9319.5 <br />5210.3 <br />107 <br />7743.2 <br />3002.9 <br />113 <br />8494.0 <br />4510.6 <br />117 <br />9349.9 <br />5236.2 <br />." <br />10 <br />.7766.8 <br />3921.9 <br />30 <br />..5521.3 <br />4538.8 <br />10 <br />9350.5 <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 />5258.6 <br />30 <br />7514.3: <br />3960.1 <br />30- <br />5575.0 <br />4583.4 <br />30 <br />9442.2 <br />531.5.0 <br />4U <br />7838:1 <br />,3979.4. <br />40 <br />5602.1 <br />4600.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7562.1 <br />3998.7 <br />50 <br />8629.3 <br />462S.6. <br />50 <br />9504.4 <br />5368.2 <br />108' <br />788G.2 <br />4018.2 <br />113-" <br />86:16.6.4651.:3 <br />118 ' <br />9535.7 <br />5395.1 <br />10 <br />'7910.4, <br />4037.8 <br />10 <br />8684.0 <br />"4074.2 <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 />0630.7 <br />5476.5 <br />40 <br />.7983.5. <br />'4097.1. <br />40 <br />8767.0 <br />4743.6 <br />40 <br />OG62.6 <br />5504.0 <br />50 <br />SOOS.0 <br />4117.0. <br />50 <br />8794.9' <br />4766.9 <br />50 <br />9G94.7 <br />5531.7 <br />109 <br />8032:7 <br />4137.1 <br />114 <br />8822.9 <br />4790.9: <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 ' <br />8851.0 <br />481.1.3. <br />10 <br />9759.4 <br />5587.4 <br />20 <br />8082.3 <br />4177.5 <br />20 <br />5879.3 <br />4837.5 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />5907.7 <br />4861.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />5132.3 <br />4218.4 <br />40 <br />5936.3 <br />4885." <br />40' <br />9857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909..9 <br />50 <br />OS90.S <br />5700.9 <br />110 <br />8152.8 <br />4259.7 <br />115 • <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />, <br />10 <br />8203.2 <br />4280.5 <br />10 <br />902.2:7. <br />4955.6 <br />10 <br />9957.5 <br />5758.G <br />'20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />4993.1 <br />20 <br />991J1.0 <br />5787.7 <br />30 <br />8259.3' <br />!1322.4. <br />30 <br />9050.9 <br />5007.3 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />8285.0. <br />4343.6 <br />40 <br />9110.3 <br />5032.5 <br />40 <br />10059.0 <br />5846.5 <br />50 <br />8310.8 <br />43G4.8 <br />50 <br />9139.8 <br />5057.5 <br />50 <br />10093.0 <br />.5576.1 <br />Corrections to be Added (T= Tangent. . E=External.) <br />Curve 5° 110° 15° 20° <br />25° 30° <br />35° <br />40°�3.95 <br />5° <br />50° <br />55° <br />60° <br />65° 70° <br />Angle <br />T=.43 1.30 1.74 <br />2.18 2.62 <br />3.06 <br />3.56 <br />4.40 <br />4.83 <br />5.37 <br />S.SS 6.34 <br />o t .38 <br />100 E= .401 .604 .809 <br />1.01 1.22 <br />143 <br />1.61 <br />85 <br />2.06 <br />2.23 <br />2.50 <br />2.73 2.98 <br />T=.46 1.42 1.00 <br />2.38 2.87 <br />3.31 <br />3.84' <br />4.35 <br />4.54 <br />5.35 <br />5.87 <br />6.40 6.93 <br />.94 <br />105° E =.230 .470 .700 .93S <br />1.17 1.42 <br />1.65 <br />1.90+ <br />2.14 <br />2.29 <br />2.64' <br />2.90 <br />MG 3.41 <br />T=•50 1.03 1.55 2.08 <br />2.60 3.14 <br />MG <br />4.20. <br />4.76 <br />5.31 <br />5.80 <br />6.43 <br />7.01 7.59 <br />110° <br />E=.260 .5351 .808 LOS <br />1.36 1.63 <br />1.91 <br />2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 3.95 <br />'T=.54 1.13 1.70 2.29 <br />8G 3.45 <br />4.03 <br />4.63 <br />5 .23 <br />5"83 <br />6:14 <br />7.07 <br />7 7fi 8.35 <br />715° E=.307. .624 .939 1 'LG <br />11.57 1.89 <br />2.21 <br />'2.5-8 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 4.58 <br />120° T=.61 1.25 LSO 2.52 <br />3.16 3.81 <br />4.44 <br />2.5612.9.513.31' <br />5.1 L <br />5.78 <br />0.99 <br />3.721 <br />7.11 <br />9.10 <br />7.10 <br />4.50 <br />8.51 9.21 <br />4.91 5.32 <br />E=,339 .72011.08 1.45 <br />1.82 2.20 <br />