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VI TABLE I. - Tangents and Externals to a 1° Curve. <br />Chord =100 ft. <br />Int: <br />Angle <br />Tangent <br />E.vtcrnal <br />Int.Int. <br />Angle <br />Tangent <br />I External <br />An <br />I Tangent <br />I External <br />`.85° <br />5250.3 <br />2041.7 <br />92° <br />5933.2 <br />2518.5 <br />991 " <br />6703.6 <br />3092.7 <br />10' <br />5°05.6 <br />` 2052.1 <br />10'. <br />5950.5 <br />2531.0 <br />10' <br />0728.4 <br />3107.7 <br />20 <br />5231. 0 <br />2002.5 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />6748.2 <br />3122.9 <br />30 <br />5_J6.•1 <br />2073.0 <br />30 <br />5935.3 <br />2556.0 <br />30 <br />6768.1 <br />313S.1 <br />40 <br />53t1.0 <br />2083.5 <br />40 <br />6002.7 <br />• 2568.6 <br />40 <br />6788.1 <br />3153.3 <br />50 <br />537:4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6808.2 <br />3168.7 <br />86 <br />5313.0 <br />2104.1 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />6828.3 <br />3184:1 <br />10 <br />5353.6 <br />2115.3 <br />10 <br />6055.4 <br />2606.5 <br />10 <br />6848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />2610.7 <br />20 <br />6868.8 <br />3215.1 <br />30 <br />5389.9 <br />2156.7 <br />30 <br />6090.8 <br />2632.6 <br />30 <br />6889.2 <br />3230.5 <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 />•?158.4 <br />50 <br />6126.4 <br />265S.5 <br />50 <br />6930.1 <br />3262.3 <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 />5453.1 <br />21S0,2 <br />10 <br />G162.6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5469.0 <br />2191.1 <br />20 <br />6LS0.2 <br />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />&184.9 <br />2203.2 <br />30 <br />6198.3 <br />2711.2 <br />30 <br />7012.7 <br />3326.1 <br />405500.9 <br />7983.5 <br />22t3.2 <br />40 <br />6216.4 <br />2724.5 <br />40 <br />7033.6 <br />3342.3 <br />50' <br />5517.0 <br />2224.3 <br />50 <br />G234.6 <br />2737.9 <br />50 <br />7054.5 <br />3355.5 <br />88 <br />5533.1 <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 />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 />02S9.4 <br />2775.3 <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 />5507.8 <br />22S0.6 <br />40 <br />6,5'_'0.3 <br />2505.6 <br />40 <br />7160.3 <br />3440.9 <br />50 <br />5614.2 <br />2292.0 <br />50 <br />G344.8 <br />2819.4 <br />60 <br />7181.7 <br />3457.6 <br />89 <br />5630.5 <br />2303.5 <br />06 <br />6363.4 <br />2533.2 <br />103 <br />7203.2 <br />3474.4 <br />10 <br />, 5646.9 <br />2315.0 <br />t0 <br />6352:1 <br />2547.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5603.4 <br />2326.6 <br />20 <br />6400.8 <br />2SG1.0 <br />20 <br />7246.3 <br />3508.2 <br />30 <br />5670.9 <br />2338.2 <br />30 <br />6419.5 <br />2S75.0 <br />30 <br />7263.0 <br />3525.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />6438.4 <br />28S9.0 <br />40 <br />7289.S <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 />90 <br />5729.7 <br />2373.3 <br />97 <br />6470.2 <br />2917.3 <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 />29.13.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2408.9 <br />30 <br />6533.-1 <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 />2Q7.1.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5813.6 <br />2432.9 <br />50 <br />657.1.9 <br />2059.2. <br />50 <br />7444.6 <br />3664.5 <br />91' <br />5830.5 <br />,2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3GS2.3 <br />10 <br />5547.5 <br />2457.1 <br />10 <br />6610.6 <br />:3015.4 <br />10 <br />7489.6 <br />3700.2 <br />20 <br />5864.6 <br />2469.3 <br />20 <br />GG30.1 <br />3033.1 <br />20 <br />7512.2 <br />3715.2 <br />30 <br />5851.7 <br />2481.5 <br />30 <br />G649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5898.8 <br />2493.5 <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 />Corrections to be Added (T =Tangent. E. =External.) <br />. <br />Angle <br />Curve 5° <br />10° 1S° '20° 25° 30° 35° 40° <br />45° <br />-500 <br />55° <br />60° <br />65°. 70° <br />85° <br />T=.33 <br />.66 1.00 1.33 1.68 2.02 2.36 2.70 <br />3.05 <br />3.40 <br />°.77 <br />4.14 <br />4.55 4.89 <br />91G9.4 <br />E=,128 <br />.259 .391 .521 .657 .790 .920 1.00 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 1.91 <br />90° <br />T=.36 <br />.72 1.09 1.45 1.83 230 2.57 2.94 <br />3.32 3.70 <br />4.10 <br />4.50 <br />4.91 5.32 <br />8358.9 <br />P=.141) <br />.299 .450 .603 .756 .9,0 1.07 1.22 <br />1.38 <br />1.54 <br />1.70 <br />1.87 <br />2.03 2.20 <br />95° <br />T=.39 <br />.79 1.19 1.55 2.00 2.40 2.S0 3.20 <br />3.61 <br />4.02 <br />4.49 <br />4.95 <br />5.38 5.83 <br />38135.2 <br />P =.174 <br />.350 .522 .706 .985 1.06 1.25 1.43 <br />1.62 <br />1.50 <br />1.99 <br />2.18 <br />2.33 2.55 <br />100° <br />T=.43 <br />.86 1.30 1.74 2.18 2.62 3.06 3.50 3.95 <br />4.40 <br />4-8 <br />5.37 <br />5.85 6.34 <br />5210.3 <br />P =.200 <br />.401 .601 .809 1.01 1.22 1.43 1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 2.96 <br />105° <br />T=.46 <br />.94 1.42 1.90 2.38 2.87 3.34 3.84 <br />4.35 <br />4.84 <br />5.35 <br />6.87 <br />6.40 6.93 <br />10 <br />E=.230 <br />.4701 .700 .9381.17 1.42 1.65 1.90 2.14 2.39 <br />2.64 2.00 <br />3.1613.41 <br />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord =100 ft. <br />Int. <br />Angle <br />Externa] <br />Int' <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />15092.7• <br />I External <br />J <br />106° • <br />7603.5 <br />3791.0 <br />11.1° <br />8336.7 <br />4386.1 <br />116° <br />91G9.4 <br />T=.43 86 11:30 1.74 2.18 2.62 <br />10' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4407.6 <br />10' <br />9199.1 <br />5107.9 <br />20 <br />7649.7 <br />3527.9, <br />20 <br />8358.9 <br />4429.2 <br />20 <br />929.0 <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 />515.3.8 <br />-40 <br />7696.3 <br />38135.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />92,89:2 <br />5154.5 <br />'50 <br />7719.7 <br />3854.0 <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 />5236.2 <br />10 <br />7766.8 <br />3921.9 <br />10 <br />5521.3 <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 />9311.3 <br />5288.6 <br />30 ' <br />7814.3 <br />39G0.1 <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 />4006.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7862.1 <br />3998.7 <br />50 <br />8629.3 <br />462S.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 />1113 <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />8684.0 <br />4G74.2 <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 />5739.2 <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 />9663.6 <br />5504.0 <br />50 <br />5008.0 <br />4117.0 <br />50 <br />8794.9 <br />4766.9 <br />50 <br />0694.7 <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 <br />4814.1 <br />10 <br />9759.4. <br />5557.4 <br />20 <br />5082.3 <br />4177.5 <br />20 <br />SS79.3 <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 />4561.7 <br />30 <br />9S 24.8 <br />5643.5 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4585.7 <br />40 <br />9557.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9590.8 <br />5700.9 <br />110 <br />5182.8 <br />4259.7 <br />115 <br />8993:8 <br />4934.1 <br />120 <br />9944.0 <br />5729.7 <br />10 . <br />8208.2 <br />4250.5 <br />10 <br />9022.7 <br />4958.6 <br />10 <br />9057.5 <br />5755.6 <br />'20 - <br />5233.7 <br />4301.4 <br />20 <br />9051.7 <br />49S3.1 <br />20 <br />9991.0 <br />5187. 7. <br />30 <br />8259.3 <br />4322.4 <br />30 <br />9080.9 <br />5007.8 <br />30 <br />10025.0 <br />5S17.0 <br />40 <br />8285.0 <br />4343.6 <br />40 <br />9110.3 <br />5032.G <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 />5876.1 <br />Corrections to be Added (T =Tangent. E=External.) <br />Int. <br />Angle <br />Carve S° 10° IS- 20° 25° 30° <br />35° <br />40° 45° <br />SO° 55°4 <br />60° <br />FF <br />65° <br />70° <br />1001 <br />T=.43 86 11:30 1.74 2.18 2.62 <br />3.06 <br />3.50 3.95 <br />4.40 413 <br />5.37 <br />5.35 <br />6.34 <br />E =.2G0 .401 .604 .809 1.01 1.22 <br />1:13 <br />1.64 1.85 <br />2.66 2.23 <br />2.50 <br />12.73 <br />2.96 <br />105° <br />T=.46 94 1.42 1.90 2.38 '2.87 <br />3.34 <br />3.84 4.35 <br />4.6.1 5.35 <br />5.87 <br />6.30 <br />6.03 <br />_ <br />E=.230 .4701 .700 .938 1.17 1.42 <br />1.65 <br />1.90 2.14 <br />2.39 2-6-1 <br />2.90 <br />33G <br />3.41 <br />110° <br />T=.50 1.03 11.55 2.08 2.60 3.14 <br />3.66 <br />4.21 4.76 <br />5.34 5.80 <br />G.43 <br />7.01 <br />7.59 <br />E-.260 .535 .803 1.08 1.36 1.63 <br />1.01 <br />2.19 2.40 <br />2.61 3.05 <br />3.35 <br />13.65 <br />3.95 <br />115° <br />T=-54 t.13 1.70 2.29 2.86 3.45 <br />4.03 <br />4.63 5.23 <br />5.83 6.44 <br />7.07 <br />7.70 <br />8:•35 <br />E=.307 .624 .03912G 1.57 1,89 <br />2.21 <br />2.54 2.87 <br />3.20 3.63 <br />f 3.88 <br />4.23 <br />4.53 <br />120° <br />T =•61 11.25 11.89 2.52 3.16 3,81 <br />4.44 <br />5.11 5.78 <br />6.94 7.11 <br />7.30 <br />8.51 <br />0.21 <br />E=.339 .12D 1.08 1.45 1.82 2.20 <br />2.56 <br />2.95 3.33 <br />3.72 4.10 <br />4.50 <br />4.01 <br />5.32 <br />1 <br />