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VI TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord =100 ft. J <br />Int. <br />-Angle <br />Tun ent <br />g <br />F..xternal <br />Int- <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tan gent <br />External <br />85° <br />5250.3 <br />2041.7 <br />92' <br />5933.2 <br />2518.5 <br />99° <br />.6708.6 <br />3U92.7 <br />10' <br />5265.6 <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 />2556'.0 <br />30 <br />6768.1 <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 />5337.4 <br />2094.1 <br />50 <br />0020.2 <br />2581.3 <br />50 <br />6308.2 <br />3168.1 <br />66 <br />5343.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />6825.3 <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 />2130.7 <br />30 <br />6090.8 <br />2632.6 <br />30 <br />6SS9.2 <br />3230.8 <br />40 <br />5405.0 <br />2147.5 <br />40 <br />6105.6 <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 />3262.3 <br />87 <br />5437.2 <br />2169.2 <br />94 <br />6144.3 <br />2G71.6. <br />101 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />21SO.2 <br />10 <br />G162.6 <br />2654.7 <br />10 <br />6971.3 <br />'3294.1 <br />20 <br />5469.0 <br />2101.1 <br />20 <br />6180.2 <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 />2234.3 <br />'60 <br />6234.6 <br />2737.9 <br />50 <br />7051.5 <br />3358.5 <br />88 <br />5533.1 <br />2235.5 <br />95 <br />6252.8 <br />275 1. 3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />55,49.2 <br />2246.7 <br />10 <br />6271.1 <br />2764.8 <br />10 <br />70966 <br />3391.2 <br />20 <br />5565.4 <br />2253.0 <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 />.6307.0 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />6326.3 <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 />2319.4 <br />50 <br />7181.7 <br />3457.6 <br />'89 <br />5030.5 <br />2303.5 <br />96 <br />6363.4 <br />2533.2 <br />103- <br />7203.2 <br />3974.4 <br />10 <br />•5646.0 <br />2315.0 <br />10 <br />6382.1 <br />2847.0 <br />16 <br />7224.7 <br />349.3 <br />20 <br />5663.4 <br />2326.6 <br />20 <br />6400.8 <br />2S01.0 <br />20 <br />7246.3 <br />3508.2 <br />30 <br />5679:9 <br />2338.2 <br />30 <br />6419.5 <br />2575.0 <br />30 <br />7268.0 <br />3525.°_' <br />40 <br />5696.4 <br />2340.8 <br />40 <br />6438.4 <br />2589.0 <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 />00 <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 />G405.2 <br />2931.6 <br />10 <br />7355.6 <br />3594.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />651.1.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7, <br />30 <br />5779.9 <br />2405.9 <br />30 <br />6533.4 <br />29GO.3 <br />30 <br />7399.9 <br />3629.2' <br />40 <br />5796.7 <br />2420.0 <br />40 <br />6552.6 <br />2974.7 <br />40 <br />7.122.2 <br />3640.5 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.fi <br />3604.5. <br />91 <br />5530.5 <br />2444.9 <br />93 <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 />3013.4 <br />10 <br />7480.6 <br />3700':?.:; <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 />58&1.7 <br />2451.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5398.8 <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 />6088.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />A <br />Corrections to he Added (T =Tangent. E. = External.) <br />Iot. <br />Angle <br />Curve 5° 10° <br />15° 20° <br />25' <br />30' <br />350 40' <br />45° <br />50° <br />55° 60° <br />65° <br />70.° <br />85° <br />T=.33 .66 <br />1.00 1.33 <br />1.68 <br />2.02 <br />2.36 2.70 <br />3.05 <br />3.40 <br />3.77 4.14 <br />4.55 <br />4.89 <br />8362.7 <br />E =.128 .259 <br />.391 .524 <br />.657 <br />.790 <br />.926 1.06 <br />1.20 <br />1.34 <br />1.47 1.62 <br />.1.76 <br />1!91 <br />90° <br />T=.36.72 <br />1.09 1.45 <br />1.83 <br />2.20 <br />2.57 2.04 <br />3.32 <br />3.70 <br />1 <br />4.10 4.50 <br />4.91 <br />532 <br />5158.8 <br />E =.149 .299 <br />.450 .603 <br />.756 <br />.910 <br />1.07 1.22 <br />1.38 <br />1.54 <br />1.70 1.87 <br />2.03 <br />2217 <br />95' <br />T=.39 .79 <br />1.19 1.55 <br />2.00 <br />2.40 <br />2.80 3.20 <br />11.43 <br />3.61 <br />4.02 <br />4.49 4.98 <br />5.38 <br />5.$3 <br />112 <br />E =.174 -350 <br />-522 .706 <br />235 <br />1.06 <br />1.25 <br />1.62 <br />1.80. <br />1.99 2.18 <br />2.38 <br />2x3 <br />100° <br />T=.43 .86 <br />1.30 1.74 <br />2J8 <br />2.63 <br />3.06 3.50 <br />11.43 <br />3.95 <br />4.40 <br />4.83 5.37 <br />5.85 <br />6631 <br />9411.3 <br />E=.200 .401 <br />.601 .809 <br />1.01 <br />.23 <br />L& <br />11.85 <br />12.06 <br />2 28'2/0 <br />2.73 <br />2- <br />105° <br />T=.46 .04 <br />1.42 1.90 <br />2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.84 <br />5.35 5.87 <br />6.40 <br />6?93 <br />3998.7 <br />E =•230 .470 <br />.700 .938 <br />1.17 <br />11.42 <br />11.65 1.00 <br />2.14 <br />2.39 <br />2.64 2.90 <br />3.16 <br />3T41 <br />TABLE I. - Tangents and Externals to a 1' Curve. VII . <br />Chord =100 ft. <br />Int.Int. <br />Angle ' <br />Tangent <br />Extemal <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 />9169.4 <br />5082.7 <br />10' <br />7626.G <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />10'- <br />9199.1 <br />5107.0 <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 />'3S46.5 <br />30 <br />8415.1 <br />4450.9 <br />30 <br />9259.0 <br />5158.8 <br />40 <br />7696.3 <br />3565.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />•9289.2 <br />5184.5 <br />50 <br />7719.7 <br />3SS4.0 <br />50 <br />8463.0 <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 />5236.2 <br />10 <br />7766.8 <br />302t.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 />456111 <br />20 <br />9411.3 <br />5258.6 <br />30 <br />7814.3 <br />3960.1 <br />30 <br />8575.0 <br />4583.4 <br />30 <br />9492.2 <br />5315.0 <br />40 <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 />7862.1 <br />3998.7 <br />50 <br />5629.3 <br />4625.6 <br />50 <br />9504.4 <br />.5365.2 <br />108 <br />7SS6.2 <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />11S <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.S <br />10 <br />8654.0 <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 />7059.0 <br />4077.2 <br />30 <br />8739.2 <br />4720.3 <br />30 <br />9530.7 <br />5476.5 <br />40 <br />7953.5 <br />4097.1 <br />40 <br />5767.0 <br />4743.6 <br />40 <br />9662.0 <br />5504.0 <br />50 <br />8005.0 <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 />SS22.0 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />5057.4 <br />4157.3 <br />10 <br />5851.0 <br />4814.1 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />SOS2.3 <br />4177.5 <br />20 <br />S879.3 <br />4537.8 <br />20 <br />9792.0 <br />5615.5 <br />30 <br />8107.3 <br />4197.9 <br />30 <br />3907.7 <br />4561.7 <br />30 <br />9824.8 <br />5643.S <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9S57.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9390.8 <br />5700.9 <br />110 <br />S1S2.S <br />1259.7 <br />115 <br />8993.S <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />10 <br />8208.2 <br />4230.5 <br />10 <br />9022.7 <br />4958.14 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />4953.1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />9050.9 <br />5007.8 <br />30 <br />10025.0 <br />5517.0 <br />40 <br />5235.0 <br />1343.6 <br />40 <br />9110.3 <br />5032.6 <br />40 <br />'10059.0 <br />5846.5 <br />50 <br />5310.8 <br />4364.8 <br />50 <br />9139.3 <br />5057.6 <br />50 <br />10093.0 <br />5376.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />let. <br />A ngle <br />Curry 5' <br />10° 15' 20° <br />25° <br />30° <br />35°f 40' <br />45° <br />50° 55° 60° 65° <br />70° <br />T=.43.86 <br />1.30 1.74 <br />2.18 <br />2.C2 <br />3.06 3.50 <br />3.95 <br />4.40 4.83 5.37 5.85 <br />6.34 <br />100° <br />E=.200 <br />.401 .601 .SO9 1.01 <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.06 ''?.23 2.50 2.731 <br />2.96 <br />105° <br />T -A G <br />.94 1.42 1.90 <br />2.3S <br />2.87 <br />3.31 3.84 <br />4.35 <br />4.84 5.35 5.87 6.40 <br />6.93 <br />E=.230 _ <br />.470 .700 .933 <br />1.17 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2.39 12.6112.00 13.1013.41 <br />_ <br />110° <br />T=.50 <br />12.08 <br />1.03 1.55 2.03 <br />1 <br />2.60 3.14 <br />3.66 4.21 <br />4.76 <br />5.31 5.86 6.43 7.01 <br />7.59 <br />E=.260 <br />.5341 .1.55 <br />1.36 <br />1.63 <br />1.91 2.19 <br />2.49, <br />2.131 3.05 3.35 3.6-513.05 <br />115° <br />T =•54 <br />1. <br />1.13 70 2.29 <br />2.56 <br />3.45 <br />4.03 4.63 <br />5.23 <br />5.83 6.14 7.07 7.701 <br />3.35 <br />E =.307 <br />.6241 .939 1.28 <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.47 <br />3.20 3.53 3.38 4.23, <br />4.58 <br />I_0' <br />T=.61 <br />1.25 11.80 '2.52 <br />11.45 <br />I <br />3.16 <br />1.32 <br />3.81 <br />2 °0 <br />4.44 5.11 5.73 <br />3x0 3.531 <br />6.44 7.1 1 7.801 8.51 <br />3.73 6101 4.501 4.91 <br />0.21 <br />5.32 <br />E=.330 <br />.72011.03 <br />2.95 <br />