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VI TABLE 1. - Tangents and Externals to a 1° Curve. <br />Chord =100 Et. <br />Int. <br />Anglo <br />Tangent <br />Cxtental <br />Int. <br />Angle <br />Tangent <br />External <br />t. <br />In l <br />Angle <br />Tangent <br />Lxternal <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 />5265.6 <br />2032.1 <br />10' <br />5950.5 <br />2531.9 <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 />674S.2 <br />3122.9 <br />30 <br />5290.4 <br />2073.0 <br />30 <br />5985.3 <br />2556.0 <br />30 <br />G768.1 <br />3138.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002,7 <br />2568.6 <br />40 <br />G78S.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />0803.2 <br />3168.7 <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 />3190.6 <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 />0090.S <br />2632.0 <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 />32441.5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />0930.1 <br />326.2.3 <br />87 <br />5437.2 <br />2109.2 <br />04 <br />6144.3 <br />2671.0 <br />101 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2130.2 <br />10 <br />G1G2.0 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5100. 0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />0992.0 <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 />3320,1 <br />40 <br />5500,9 <br />2213.2 <br />40 <br />G216.4 <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 />5533.1 <br />235.5 <br />95 <br />6252.8 <br />2751,3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5349.2 <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 />62S9.4 <br />2778.3 . <br />20 <br />7117.8 <br />3[07.7 <br />30 <br />6581.6 <br />269.3 <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 />0326.3 <br />2805.G <br />40 <br />7160.3 <br />3440.9 <br />50 <br />5614.2 <br />2292.0 <br />50 <br />6344.8 <br />2819.4 <br />50 <br />7181.7 <br />3457.6 <br />89 <br />5636.5 <br />2303.5 <br />90 <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 />0382.1 <br />28§7.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />'5653.4 <br />2326.6 <br />20 <br />6.100.8 <br />2361.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5670.9 <br />2338.2 <br />30 <br />0419.5 <br />2875.0 <br />30 <br />7268.0 <br />3325.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />0438.4 <br />2889.0 <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 />73I1.7 <br />3559.6 <br />00 <br />5729.7 <br />2373.3 <br />97 <br />6476.2 <br />2917.3 <br />104 <br />7333.G <br />3576.8 <br />10 <br />5746.3 <br />2385:1 <br />10 <br />0495.2 <br />2931.6 <br />10 <br />7355.6 <br />3591.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />0514.3 <br />2945.4 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />0533.4 <br />2960.3 <br />30 <br />7399.9 <br />3620.2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3040.8 <br />50 <br />5813.6 <br />2432.9 <br />56 <br />6571.9 <br />2989.2 <br />50 <br />7444.6 <br />3064.5 <br />01 <br />5830.5 <br />2444.0 <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 />6610.6 <br />3018.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />5864.6 <br />2169.3 <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 />7,534.0 <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 />60 <br />6916.0 <br />2506.1 <br />50 <br />6688.8 <br />3077.7 <br />50 <br />7530.5 <br />3772.6 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord=100 ft. <br />Angle <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />Anje <br />Tam"t <br />External <br />100° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />110° <br />9169.4 <br />5082.7 <br />10' <br />7626.6 <br />3809.4 <br />11Y <br />8362.7 <br />4407.6 <br />IV <br />9199.1 <br />5107.9 <br />20 <br />7649.7 <br />3827.9 <br />20 <br />8338.9 <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 />$441.5 <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 />9319.5 <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 />5230.2 <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 />3940.9 <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 />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 />6629.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <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 />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 />5440.2 <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 />4.117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />8822.9 <br />4790.4 <br />110 <br />0727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />8851.0 <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 />0792.0 <br />5015.6 <br />30 <br />8107.3 <br />4197.0 <br />30 <br />8907.7 <br />4881.7 <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 />5672. <br />`50 <br />8157.5 <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 />5720.7 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />6758.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />498311 <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 />0110.3 <br />5032.6 <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.) Corrections to be Added (T=Tangent. E=External.) <br />Int. <br />Curse S° 10° 15° 20° 25° <br />30° '35°. <br />40° <br />45° 50° 55° <br />60° 65° 70° <br />Angle <br />50° 60° <br />554 <br />65° 70° <br />1000 <br />T=A3 <br />.86 <br />1.30 1.74 <br />85 <br />T7723-768 <br />1.00 '1.33 1.68 <br />2.02 2.30 <br />12.0 <br />3.05 3.40 3.77 <br />4.14 4.55 4.89 <br />.401 <br />E =.128 <br />.259 .391 .524 .657 <br />.790 .9201 <br />1.06 <br />1.20 1.34 1.47 <br />1.02 1.76 1.91 <br />90° <br />T=.35 <br />72 L.09 1.45 1.83 <br />2.20 2.57 <br />2.94 <br />3.32 3.70 4,10 4.50 4.91 5.32 <br />3.34 3.84 4.35 <br />E =.149 <br />.299' A50 .603 .756 <br />.91Q 1.07 <br />1.22 <br />1.38 1.54 1.70 <br />2.87 2.03 2.20 <br />95° <br />T =.39 <br />.79 1.19 11.55 2.W <br />2.40 2.80 3.20 13.61 4.02 4.§9 4.98 5.38 5.63 <br />3.16 3.41 <br />1:=.174 <br />.350 .522 .700 .985 <br />1.05 1.25 <br />1.43 <br />1.62 1.80 1.99 <br />2.18 2.33 2.58 <br />111° <br />T =.43 <br />.86 1.30 1.74 2.18 <br />2.62 3.06 <br />3.50 3.95 4.40 4.88 <br />6.37 5.85 6.34 <br />.808 1.08 <br />E =.200 <br />.401 .001 .809 1.01 <br />1.22 1.43 <br />1.64 <br />1.85 2.06 2.28 <br />2.50 2.73 2.96 <br />105° <br />T=.98 <br />.94 1.42 1.00 2.38 <br />2.87 3.34 <br />3-84 <br />4.35 4.84 5.35 <br />5.97 8.40 8-93 <br />7.70 8.95 <br />E =.230 <br />.470 .700 .938 1.17 <br />1.42 1.65 <br />LC0 2.14 2.39 2.64 <br />2.90 3.1fi 3.11 <br />An,i e <br />An61 <br />Curve 5° <br />10° <br />IS- 20° <br />25° <br />30° <br />35° 40° 45° <br />50° 60° <br />554 <br />65° 70° <br />1000 <br />T=A3 <br />.86 <br />1.30 1.74 <br />2.18 <br />2.82 <br />me am 3.954.4o <br />4.88 5.87 <br />6.86 8.34 <br />E =.200 <br />.401 <br />.604 .809 <br />1.01 <br />1.22 <br />1.43 1.64 1.85 <br />2.08 2.28 2.50 <br />2.73 2.98 <br />105° <br />T-Ae <br />.94 <br />1.42 1.90 <br />2,38 <br />2.87 <br />3.34 3.84 4.35 <br />4.84 6.35 5.87 <br />6.40 6.03 <br />E -.230 <br />.470 <br />.700 .038 <br />1.17 <br />1.42 <br />1.65 1.90 2.14 <br />2.39 2.64 2.90 <br />3.16 3.41 <br />110° <br />T=.50 <br />1.03 <br />1.55 2.08 <br />2.60 <br />3.14 <br />3.66 4.21 4,76 <br />5.31 5.80 6.43 <br />7.01 7.54 <br />E=.260 <br />.535 <br />.808 1.08 <br />1.36 <br />1.63 <br />1.91 2.19 2,49 <br />2.61 3.05 3.35 <br />3.65 3.95 <br />115° <br />T=•54 <br />113 <br />1.70 2.29 <br />2.86 <br />8.45 <br />4.03 4.63 5.23 <br />5.83 6.44 7.07 <br />7.70 8.95 <br />E =.307 <br />.824 <br />.939 1.26 <br />1.57 <br />1.89 <br />2.21 2.54 2.87 <br />3.20 3.53 8.88 <br />4.23 4.68 <br />120° <br />T=.8l <br />1.25 <br />1.89 2.52 <br />3.16 <br />3.81 <br />4.44 5.11 5.78 <br />8.44 7.11 M. <br />8.51 9.21 <br />1:m.339 <br />.720 <br />1.08 1.45 <br />1.82 <br />2.20 <br />2.06 2.95 3.33 <br />3.72 4.10 9.50 <br />4.91 522 <br />