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VI . TABim I. - Tangents and Externals to a 1° Curv& <br />r..1,-4. inn ?� <br />Angle <br />Tangent <br />External <br />Angie <br />Tangent <br />External <br />Angle <br />Tangent <br />External <br />85° A. <br />10' <br />5250.3 <br />2041.7 <br />2052.1 <br />92° <br />10' <br />5933.2 <br />2518.5 <br />99°' <br />6708.6 <br />3092.7 <br />20 <br />.5265.6 <br />5281.0 <br />2062.5 <br />20 <br />5950.5 <br />5967.9 <br />2531.0 <br />2543.5 <br />10 <br />6728.4 <br />3107.7 <br />.•.30 <br />5296.4 <br />2073.0 <br />30 <br />5985.3 <br />2556.0 <br />20 <br />30' <br />6748.2 <br />3122.9 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2565.6 <br />40 <br />6768.1 <br />3138.1 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581'.3 <br />2.20 <br />6788.1 <br />3153.3 <br />3.32 <br />3.70 <br />4.10 <br />4.50 <br />4.91 <br />'5.32 <br />.50 <br />6808.2 <br />3168.7 <br />88' -' <br />10 <br />5343.0 <br />5358.6 <br />2104.7 <br />2115.3 <br />03G037.8 <br />'10 <br />1.07 <br />2594.0 <br />100 <br />6828.3 <br />3184.1 <br />20 <br />"5374.2 <br />2126.0 <br />20 <br />6055.4 <br />6073.1 <br />2606.8 <br />2619.7 <br />10 <br />6848.5 <br />3199.6 <br />30 <br />5389.9 <br />2136.7 <br />:'30 <br />6090.8 <br />2632,6 <br />20- <br />30 <br />6868.8 <br />6889.2 <br />3215.1 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6108.6 <br />2645.540. <br />1.06 <br />6909.6 <br />3246.5 <br />50 <br />6421.4 <br />2158.4 <br />60 <br />6126.4 <br />2658.6 <br />.50 <br />6930.1 <br />3262.3 <br />87 <br />10 <br />5437.2 <br />5453.1 <br />2169.2 <br />2180.2 <br />04 . <br />-10 <br />6144.3 <br />6162.6 <br />2671.6 <br />2684.7 <br />101 ' <br />'6950.6 <br />3278.1 <br />20 <br />5469.0 <br />2191.1 <br />. 20 <br />6180.2 <br />2697.9 <br />10 <br />20' <br />6971.3 <br />3294.1 <br />3310.1 <br />30 <br />40 <br />5484.9 <br />5500.9 <br />2202.2 <br />2213:2 <br />30 <br />40 <br />6198.3 <br />6216.4 <br />2711,2 <br />2724,5 <br />30 <br />.6992.0 <br />.7012.7 <br />3326.1 <br />60 <br />'5517.0 <br />2224.3 <br />.'50 <br />6234.6 <br />2737.9 <br />40. <br />50 <br />7033.6 <br />7054.5 <br />3342.3 <br />3358.5 <br />68. - <br />10 <br />5533.1 <br />5549.2 <br />2235.5 <br />2246.7 <br />95 • <br />-10. <br />6252.8 <br />6271.1 <br />2751.3 <br />2764.8 <br />102 <br />7075.5 <br />3374.9 <br />_ 20 <br />r 55,35.4 <br />2258.0 <br />20 <br />6289.4 <br />2778,3 <br />10. <br />20" <br />7096.6 <br />7117:8 <br />3391.2 <br />3407.7 <br />30 <br />5531.6 <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 />6325.3 <br />2805,6 <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 />5630.5 <br />2303.5 <br />.06 <br />6363.4 <br />2833.2 <br />103 7 <br />7203.2 <br />3474.4 <br />10 <br />5646.9 <br />2315.0 <br />, 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 />30 <br />. 5679.9 <br />2338.2 <br />30 <br />6419.5 <br />2875,0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />b0 <br />5696.4 <br />5713.0 <br />2349.8 <br />2361.5 <br />40 <br />,50. <br />6438.4 <br />6457.3 <br />2889.0 <br />2903.1 <br />40 <br />7289.8 <br />3542.4 <br />10 <br />8208.2 <br />4280.5 <br />10 <br />9022.7 <br />4958.6 <br />50; <br />7311.7 <br />3559.6 <br />00 <br />5729.7 <br />2373.3 <br />07 <br />6476.2 <br />2917.8 <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 />6552.6 <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 />:01 <br />. <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 />6847.5 <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 />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.g <br />40 <br />77,7 <br />3754.4 <br />50 <br />5916.0 <br />2506.1 1 <br />60 <br />6688.8 <br />3077,7 <br />50' <br />7550.5 <br />3772.6 <br />Corrections to be "Added (T = Tangent. ' E. =External.) . - <br />Int. <br />Angle <br />Curve 5° <br />10° <br />15° <br />20° <br />25° <br />12.02 <br />30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70 ° <br />85° <br />T=.33 <br />.66 <br />1.00 <br />1.33 <br />1.68 <br />10' <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />20 <br />E =.128 <br />.259 <br />.391 <br />.524 <br />.657 <br />.700 <br />.926 <br />1.06 <br />1.20 <br />1.34 <br />1.47' <br />1.62 11.76 <br />9259.0 <br />1.91 <br />90° <br />T=.36 <br />.72 <br />1.09 11.45 <br />.8441.5 <br />1.83 <br />2.20 <br />12.57 <br />2.94 <br />3.32 <br />3.70 <br />4.10 <br />4.50 <br />4.91 <br />'5.32 <br />50 <br />E-149 <br />.299 <br />.450 <br />.603 <br />.756 <br />.910 <br />1.07 <br />1.22 <br />1.38 <br />1.54 <br />1:70 <br />1.87 <br />2.03 <br />2.20 <br />95° <br />T=.39 <br />.79 <br />1.19 <br />155 <br />2.00 <br />2.40 <br />2.50 <br />3.20 <br />3.61 <br />4.02 <br />4.49 <br />4.985.38 <br />9411.3 <br />5.83 <br />30 <br />E =.174 <br />.350 <br />.522 <br />.706 <br />.985 <br />1.06 <br />1.25 <br />1.43 <br />1.62 <br />1.80 <br />1.99 <br />2.18 <br />2.38 <br />2.58 <br />100° <br />7:=.43 <br />.86 <br />1.301.74 <br />7862.1 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4,40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />113 <br />E-.200 <br />.401 <br />.604 <br />.8091.01 <br />5395.1 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />105° <br />41 <br />E <br />1 94 <br />42 <br />1.938,1.17 <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 />-.230 <br />.47011 <br />700 <br />7983.5 <br />I1 <br />42 <br />1.65 <br />190 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3 16 <br />3.41 <br />ro <br />I <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord= 100 ft. <br />Int. <br />Angle <br />Tangent <br />� <br />External <br />Int' <br />Angle <br />Tangent <br />g <br />External <br />Int. <br />Angle <br />Tan ent <br />g <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 />5362.7 <br />III 4407.6 <br />10' <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 />9319.5 <br />5210.3 <br />107 <br />7743.2 <br />8902.9 <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 />3940.9 <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 />5602.1 <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 />113 <br />8656.6 <br />4651.8 <br />118 <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />8694.0 <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 />9662.6 <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 />8032.7 <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 />4157.3 <br />10 <br />8851.0',4814.1 <br />10 <br />9759.4 <br />5587.4 <br />•20 <br />5082.3 <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 />0857.7 <br />5672.3 <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 />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 />49S3.1 <br />20 <br />0991.0 <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 />5032.6 <br />40 <br />10059.0 <br />5846.5 <br />50 -'8310.8 <br />'4364.8 <br />60 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />5876,1 <br />Corrections to be Added (T=Tangent. E=External.) <br />Int. <br />Angle <br />Curve 5° 100 15° <br />20° <br />25° <br />'30° <br />35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° 70° <br />100° <br />T=.43 .86 1.30 <br />1.74 <br />2.18 <br />2.62 <br />3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 6.34 <br />E =.200 .401 .004 <br />.809 <br />1.01 <br />1.22 <br />1.43 <br />1.64 <br />1.85 <br />2.00 <br />2.28 <br />2.50 <br />2.73 2.96 <br />105° <br />T=.46 .94 1.42 <br />1.90 <br />'1.3812.87 <br />3.34 <br />3.84 <br />4.35 <br />4.8.1 <br />5.35 <br />5.87 <br />6.40 6.93 <br />E=.230 .470 .700 <br />.938 <br />1.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 3.41 <br />110° <br />T=.50 1.03 1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 7.59 <br />E =.260 .535 .808 <br />1.08 <br />1.36 <br />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 />115° <br />T=.54 1.13 1.70 <br />2.29 <br />' 2.86 <br />3.45 <br />4.03 <br />4.63 <br />5.23, <br />5.83 <br />6.44 <br />7.07 <br />7.70 8.35 <br />R=.307 .624 .939 <br />1.26 <br />1.57 <br />1.89 <br />2.21 <br />2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 4.58 <br />120° <br />T=.61 1.25 1.89 <br />2.52 <br />3.16 <br />3.81 <br />4.44 <br />5.11 <br />5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 9.21 <br />E=.339 .720 1.08 <br />1.45 <br />1.82 <br />2.20 <br />2.56 <br />2.95 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 1 5.32 <br />N <br />A <br />