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VI TAVLn I. - Tangents and Externals to a 1° Curve. <br />Chord=100 ft. <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tangent <br />g <br />External <br />Int' <br />Angle <br />Tangent <br />g <br />External <br />85° <br />5250.3 <br />2041.7 <br />021 <br />5933.2 <br />2518.5 <br />991 <br />6708.6 <br />3092.7 <br />10' <br />5265.6 <br />2052.1 <br />10' <br />5950.5 <br />253:1.0 <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 />3122.0 <br />30 <br />5296.4 <br />2073.0 <br />30 <br />5085.3 <br />2556.0 <br />30 <br />67GS.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568.6 <br />40 <br />6783.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6803.2 <br />31G3.7 <br />86 <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 />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />2619.7 <br />20 <br />6868.8 <br />3215-1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />6090.8 <br />2032.0 <br />30 <br />6889.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6I08.6 <br />2645.5 <br />40 <br />6909.6 <br />32`46.5 <br />50 <br />5421.4 <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 />2169.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278.1 <br />10 <br />545 3. 1 <br />2130.2 <br />10 <br />6162.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2101.1 <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 />6193.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />021G.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 />6533.1 <br />2235.5 <br />95 <br />G252. 8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5549.2 <br />2240.7 <br />10 <br />6271_1 <br />2764.8 <br />le <br />7096.6 <br />3391.2 <br />20 <br />5565.4 <br />2238.0 <br />20 <br />6289.4 <br />2778.3 <br />20 <br />7117.8 <br />3407.7 <br />30 <br />55S1.6 <br />2269.3 <br />30 <br />6307.0 <br />2792.0 <br />30 <br />7139:0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />4.0 <br />6326.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.0 <br />50 <br />5614.2 <br />2292,0 <br />50 <br />G344.8 <br />2819.4 <br />50 <br />7181.7 <br />3157.G <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 />6646.9 <br />2315.0 <br />10 <br />6382.1 <br />2947,0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5G03.4 <br />232G.0 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7246.3 <br />3.303.2 <br />30 <br />5679.9 <br />2338.2 <br />30 <br />6419.5 <br />2975.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5G96.4 <br />2349.8 <br />40 <br />6438.4 <br />2989.0 <br />40 <br />7289.8 <br />354 2. 4 <br />50 <br />5713.0 <br />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />3550,6 <br />90 <br />5729.7 <br />2373.3 <br />97 <br />6476.5 <br />2917.3 <br />104 <br />7333.6 <br />3570.8 <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 />5753.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.0 <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 />6552.6 <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 />61 <br />5830.5 <br />2444.0 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3682,3 <br />1,0 <br />5847.5 <br />2457.1 <br />10 <br />6510.6 <br />3018.4 <br />10 <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 />6569.2 <br />3062.8 <br />40 <br />7557.7 <br />3154.4 <br />50 <br />5916.0 <br />2506.1 <br />50 <br />6088.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T = Tangent. E. = External.) <br />Int <br />Angle Curve 5° 10° 15° 20° <br />25' 30° 35° 40° 45' 50° 55° <br />60° 65° .70° <br />85° T=33 .66 1.00 1.33 <br />1.68 2.02 2.36 2.70 13.05 3.40 3.77 <br />4.14 4.55 41.80 <br />E =.128 .259 .391 .524 <br />.057 .700 .926 1.00 1.20 1.34 IA7 <br />1.02 1.76 .91 <br />90° T=36 .72 1.09 1.45 <br />1.83 2.20 2.57 2.94 13.32 3.70 4.10 <br />4.50 4.01 5.32 <br />E=.149 .299 .450 .603 <br />.750 .910 1.07 1.22 1.38 1.54 1.70 <br />1.87 2.03 2.20 <br />95° T=.39 .79' ].19 11.55 <br />2.00 2.40 2.80 3.20 13.61 4.02 4.49 <br />4.98 5.38 5.83 <br />E-.174 .350 .522 ..706 <br />.985 1.06 1.25 1.43 1.62 1.80 1.99. <br />2.18 2.38 2.59 <br />I06° T=.43 .86 1.30 11.74 <br />2.18 2.02 3.06 3.50 3.95 4.40 4.89 <br />5.37 5.85 6.34 <br />E - 2C0 A01 .801 .809 <br />101 1.22 1.43 1,64 1.85 2.05 2.28 <br />2.50 2.73 12,96 <br />]OS° T-.46 .94 IA2 1.40 <br />2.38 2.87 3.34 3.84 4.35 4.84 5.35 <br />5.87 6.40 0.93 <br />E =,210 A70 .700 .938 <br />1.17 1.42 165 1 C0 2.14 2.39 2.64 <br />2.90 3.10 3.41 <br />TABLE I. - Tangents and Externals to a la Curve. VII <br />Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />8 <br />External <br />int" <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angie <br />Tanmt <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />5082.7 <br />10' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />30' <br />9199.1 <br />5107.9 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />5388.9 <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 />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 />9319.6. <br />5210.3 <br />197 <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 />3940.0 <br />20 <br />8548.1 <br />4561.1 <br />20 <br />9417.3 <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 />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />118 <br />8656.0 <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 />0662.6 <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 />8822.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4 157. 3 <br />10 <br />8851.0 <br />4814.1 <br />10 <br />0759.4 <br />5587.4 <br />20 <br />SOS2.3 <br />4177.5 <br />20 <br />8879.3 <br />4837.8 <br />20 <br />0702.0 <br />5615.5 <br />30 <br />8107.3 <br />4107.9 <br />30 <br />8907.7 <br />4861.7 <br />30 <br />9824.8 <br />5843.S <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />0857.7 <br />5672." <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />9909.9 <br />50 <br />9800.8 <br />5700.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8993.8 <br />4934.1 <br />126 <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 />8285.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.G <br />40 <br />10059.0 <br />5846.5 <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 />1810 <br />Curve 5° <br />10° 15° <br />20° <br />25° <br />30° <br />35° 40° <br />45° <br />50° 55° <br />60° <br />65° <br />70° <br />T=.43 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 3.50 <br />3.95 <br />4.40 4.88 <br />6.37 <br />5.85 <br />6.34 <br />1900 <br />E =.200 <br />.86 <br />.401 .504 <br />.809 <br />1.91 <br />1.22 <br />1.48 1.64 <br />1.$5 <br />2.06 2.28 <br />2.50 <br />2.73 <br />2.96 <br />T=.46 <br />1.42 <br />1.90 <br />2.98 <br />2.87 <br />8.34 3.84 <br />4.35 <br />4.84 525 <br />6.87 <br />8,40 <br />6.93 <br />105°, <br />E =.230 <br />.94 <br />.470 .700 <br />.938 <br />1.17 <br />1.42 <br />1.65 1.00 <br />2.14 <br />2.39 M4 <br />2.90 <br />3.I6 <br />3.41 <br />T=.50 <br />1.09 1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66 4.21 <br />4.76 <br />5.31 5.86 <br />8.43 <br />7.01 <br />7.59 <br />110° <br />E=,260 <br />.535 .808 <br />1.09 <br />1.36 <br />1.63 <br />1.91 2.19 <br />2.49 <br />2.81 8.05 <br />3.36 <br />3.65 <br />3.05 <br />T=.54 <br />1.13 1.70 <br />2.29 <br />2.86 <br />3.45 <br />4.03 4.63 <br />5.23 <br />5.83 0.44 <br />7.07 <br />7.70 <br />8.35 <br />115° <br />E=.307 <br />.624 .939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.87 <br />8.20 3.58 <br />8.88 <br />4.23 <br />4.58 <br />120° <br />T=.8l <br />1.25 1.89 <br />2.52 <br />3.16 <br />3.81 <br />4.44 5,11 <br />5.78 <br />8.44 7.11 <br />7.60 <br />8.51 <br />9.21 <br />E-1339 <br />.720 MS <br />1.45 <br />1.82 <br />2.20 <br />2.:6 2.05 <br />3.83 <br />3.72 4.10 <br />4.50 <br />4.91 <br />522 <br />