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BVI TABLE- 1: _ Tangents and Externals to a 1° Curve. <br />Vhnra,=lnn rt_ <br />Int. <br />Tangent <br />External <br />Int' <br />nge <br />Tangent <br />External <br />Int'' <br />Angle <br />Tangent <br />External <br />''859'. <br />5200.3' <br />2041.7 <br />92° <br />5933.2 <br />2518.5 <br />99° <br />6705.6; <br />3092.7 <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 />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />•50 <br />6808:2 <br />3168.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />'6037.8 <br />2594:0 <br />100 <br />'6823.3 <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 />6090.8 <br />2632.6. <br />" 30 <br />6589.2 <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 />3262.3 <br />'17 <br />5437.2 <br />2169.2 <br />94, <br />6144.3 <br />2671.E <br />101 • <br />'6950.6. <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />6162.6 <br />2684.7 <br />-10 <br />6971.3 <br />3 29 4. 1 <br />20 <br />5469.0 <br />2191.1 <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 />2721.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0, <br />2221.3 <br />50 <br />6234-.6 <br />2737.9 <br />50 <br />7054.5 <br />3358.5 <br />88.- <br />55M A <br />2235.5 <br />95 - <br />6252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.9 <br />10 <br />5549.2 <br />2216.7 <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 />6326.3 <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 />2810.4 <br />50 <br />7181.7 <br />3457.6 <br />-89' <br />5630.5 <br />2303.5 <br />96 <br />636.3.4 <br />2833.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />5MG.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 />•7246.8 <br />3508.2 <br />30 <br />•5670.9 <br />2338.2 <br />30 <br />6419.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />50' <br />5713.0 <br />2301.5 <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 />164 <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 />2945.0 <br />20 <br />7377.8 <br />3611.7 <br />.30 <br />5779.9 <br />2108.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7309.9 <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 />2432.0 <br />50 <br />6571.9 <br />2939.2 <br />50 <br />7444.6 <br />3664.5 <br />5830.5 <br />2444.0 <br />98 <br />6591.2 <br />3003.8 <br />165 - <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 />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 />130 <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 />3062.8 <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 />7580.5 <br />3772.6 <br />Coriections to be Added (T =Tangent. E.=External.) <br />Int.Curve 5° 10° 15° 20° 25° <br />Angle <br />•30° 351 <br />40° j 45° 1 50° 55° 60° <br />65° '70° <br />T=.33 .66 1.00 11.33 11AS <br />2.02. 2.36 <br />2.70 3.05 3.40 3.77 4.14 <br />4.55 4.80 <br />E=.128. .259 .391 .524 ..657 <br />.790 .926 <br />1.06 1.20 1.34 1.47 1.62 <br />1.76 1.91 <br />90°. T=.36 72 1.09 1:45 1.83 <br />2.20 2.57 <br />2.94 3.32 3.70 4.10 4.50 <br />4.91 5.32 <br />E =.149 .299 .450 .603 .750.910 <br />1.07 <br />1.22 1.38 1.54 1.70 1.87 <br />2.03 2.20 <br />t95° T=.30791.19 1.55 2.00 <br />2.40 2.80 <br />3.20 3.61 4.02 4.49 4.98 <br />5.38 5.83 <br />E=.174 .350 .5221 .706 .985 <br />1.06 1.25 <br />1.43 1.62 1.80 1.99 2.18 <br />2.38 2.58 <br />1006 T=.43 .86 1.30 11.74 2.18 <br />12.62 3.06 <br />3.50 3.95 4.40 4.88 5.37 <br />5.85 6.34 <br />E =.200 .401 .604 .809 1.01 <br />1.22 1.43 <br />1.64 1.85 2.06 2.28 2.50 <br />2.73 2.96 <br />105° T=.46 .94 1.42 1.90 2.38 <br />2.87 3.34 <br />3.84 4.35 4.84• 5.35 '5.87 <br />6.40 6.03 <br />-E=.230 .470 .700 .933 1.17 <br />1.42 1.65 <br />1.90 12.14 2.39 2.64 2.90 <br />3.16 3.41 <br />TABLE I. - Tangents and Externals to a P Curve. VII <br />-Chord =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />Lit. <br />Angle <br />Tangent <br />g <br />External <br />Intl <br />. Anglo <br />Tangent <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 />4C' <br />7626.6 <br />3809.4 <br />Id' <br />8362.7 <br />4407.6• <br />10' <br />9199.1 <br />5107.9 <br />20 _ <br />7649.7 <br />3827.9 <br />20 : <br />8388.9 <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.E <br />5184.5 <br />50 <br />7710.7 <br />8884.,0 <br />50 <br />8468.0 <br />4494.6 <br />50 <br />0310 a <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 />5285.6 <br />30, <br />7814.3 <br />8960.1 <br />30 <br />8575.0 <br />4583.4 <br />30 <br />0442.2 <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 />3908.7 <br />50 <br />8629.3 <br />4628.6 <br />50 <br />0504.4 <br />5363.2 <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 />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 />_ <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 />9602.6 <br />5504.0 <br />50 <br />8005.0 <br />4117.0, <br />50 <br />8794.9 <br />4766.9 <br />50 <br />0694.7 <br />5531.7 <br />109 <br />6032.7 <br />1 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 <br />4814.1 <br />10 <br />9759.4 <br />5587.4 <br />'20- <br />8082.3 <br />'4177.5 <br />20 <br />8579.3 <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 />9524.8 <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 />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8905.0 <br />4909.9 <br />50.- <br />9390.8 <br />5700.9 <br />110 <br />8182.8 <br />4259.7 <br />115 <br />8903.8 <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 />4983.1 <br />20_ <br />0991.0 <br />5787.7 <br />30 <br />5259.3 <br />4322.4 <br />30 <br />9080.9 <br />5007.8 <br />30: <br />10025.0 <br />5817.0 <br />40 <br />5235.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.6 <br />40 <br />10059.0 <br />5S46.5 <br />50, <br />8310-8 <br />4364.8 <br />50 <br />9139.8 <br />5057.6 <br />50 <br />10093.0 <br />'5376.I <br />Corrections. to be Added (T =Tangent. E=External.) <br />Int: <br />Angle <br />Curve 5° 10° 15° 20° 25° <br />30° <br />35° 40° <br />45° <br />50°, 55° <br />60° <br />65° 70° <br />100° <br />T=.43 .86 1.30 1.74 2.18 <br />2.62 <br />3.05 3.50 <br />3.95 <br />4.40 4.83 <br />5.37 <br />5.85 6.34 <br />E=.200 .401 .601 .809 1.01 <br />1.22 <br />1.43 LG4 <br />1-85 <br />2.06 2.28 <br />2.50 <br />2.73 2.96 <br />10°° <br />T=.46 -11 1.42 1.90 2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.84 5.35 <br />5.87 <br />6.40 6.93 <br />E =.230 .470 .700 .938 1.17 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2-89 2-64 <br />2.90 <br />3.16 3.d1 <br />110° <br />T=.50 1.03 11.55 2.08 2.60 <br />3.11 <br />3.66 4.21 <br />4.76 <br />5.31 5.56 <br />6.43 <br />7.01 7.59 <br />E=260 .535 -808 1.08 1.36 <br />1.63 <br />1.91 2.19 <br />2.49 <br />2.61 3.05 <br />3.35 <br />3.65 3.95 <br />115° <br />T=,54 L 3 1.70 2.`29 2.86 <br />3.45 <br />4.03 4-63 <br />5.23 <br />5.53 6.44 <br />7.07 <br />7.70 8.35 <br />E =.307 .624 .939 1.26 1.57 <br />1.89 <br />2.21 2-54 <br />2.87 <br />3.20 3.53 <br />3.88 <br />4.23 4.58 <br />120° <br />1=.61 1.25 1.89 2.52 3.16 <br />3.81 <br />4A4 5.11 <br />5.78 <br />6.44 7.11 <br />7 50 <br />8.51 9.21 <br />B=.339 .7 1.08 1.45 1.82 <br />2.20 <br />2- 2.95 <br />3.33 <br />3.72 14.10 <br />14.50 <br />4.911 5.32 <br />I <br />