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VI TABI:E-I. =Tangents and'Externals to a,10 Curve. <br />Chord=100 ft: <br />Int. <br />Angle <br />Tangent <br />Exteral <br />n <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />-:Angle <br />Tangent <br />External <br />85° , <br />5250:3 <br />2041.7 <br />92° ' <br />'5933:2 <br />2518.5 <br />:99° <br />A708.6 <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 />;5281.0 <br />2062.5 <br />20 <br />5967.9 <br />2543.5 <br />20 <br />16748:2 <br />3122.0 <br />30 <br />'529G.4 <br />2073.0 <br />30 <br />'5955:3 <br />2556.0 <br />"30 <br />6768:1 <br />3138.1 <br />40 <br />531119 <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 />C ',50; <br />GS08.2 <br />3168.7 <br />86 <br />%5343.0 <br />2104.7 <br />93. -t <br />G037.8 <br />2594:0 <br />100. <br />'.6828.3 <br />3184.1 <br />'10 <br />5358.6 <br />2115.3 <br />30 <br />6055.4 <br />2606.8 <br />.x•.10 <br />(6848.5 <br />3199.6 <br />'20 <br />.5374.2 <br />2126.0 <br />'20'. <br />G073:1 <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 />2632.0 <br />30 <br />.6589.2 <br />3230.8 <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6103.6 <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 />187- <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 />2130.2 <br />10, <br />6162.6 <br />268.1.7 <br />10 <br />'6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20; <br />G1S0.2 <br />2697.0 <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 />5033.6 <br />3342.3 <br />5.,.'.:•50 <br />'5517.0 <br />2224.3 <br />50: <br />6234.6 <br />2737.9 <br />0'.1;50 <br />.7054:5 <br />3358.5 <br />88 <br />'5533:1 <br />2235:3 <br />95 <br />1 6252:8 <br />2751:3 <br />102 -1' <br />,7075:5 <br />3374.9 <br />10 <br />15549.2 <br />2246:7 <br />i _,10! <br />1 6271.1 <br />2764.8 <br />11.:110 <br />!7096.6 <br />3391.2 <br />20 <br />5565.4 <br />2258.0 <br />205 <br />6289.4 <br />2778.3 <br />7.520 <br />;7117.8 <br />3107.7 <br />30 <br />+5581.6 <br />2269.3 <br />30' <br />:6307.0 <br />2792.0 <br />t 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 />3440.0 <br />50 <br />:5614.2; <br />2292.0 <br />150'. <br />6344.8 <br />2819.4 <br />L"50 <br />7181:7 <br />3457.6 <br />89 <br />`5630:51 <br />2303':5 <br />96.7: <br />6363:4 <br />2833:2 <br />103 . " <br />'7203:2 <br />3474.4 <br />.10 <br />•6646.9: <br />2315.0 <br />..t70: <br />.6382.1 <br />2847.0 <br />10 <br />.722.4.7 <br />3491.3 <br />20 <br />.5663:4 <br />2326.6 <br />iii 20' <br />6100.8 <br />2861.0 <br />20 <br />(7240.3 <br />3508.2 <br />305679.9 <br />2338.2 <br />30; <br />.6119.5 <br />2875.0 <br />30 <br />7268.0 <br />3525.2 <br />'40 <br />5696.4., <br />2349.8 <br />C. 40f.'6438.4 <br />2889.0 <br />40 <br />7289.8 <br />3542.4 <br />50 <br />5713.0 <br />2361.6 <br />t.t 50; <br />„6457:3 <br />i <br />2903.1 <br />50 <br />t7311.7 <br />3559.6 <br />90• '' <br />'5729:7 <br />2373:3 <br />97" '• <br />6476.2 <br />2917:3 <br />104',':` <br />'7333:6 <br />3576.8 <br />L - 10 <br />15746:3 <br />2385.1 <br />10'" <br />;6.195.2 <br />2931.6 <br />ti +:10 <br />.7355.6 <br />3594.2 <br />1. '20 <br />5763.1 <br />2397.0 <br />20 <br />6514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />F 30 <br />5779.9 <br />2408.9 <br />t' 30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <br />15796.7 <br />2420.9 <br />40: <br />6552.6 <br />2974.7 <br />40 <br />7422:2 <br />3646.8 <br />2..t 50 <br />(5813:6 <br />2432.9 <br />. 50: <br />•6571.9 <br />2989.2 <br />::.5:50 <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 />3682.3 <br />10 <br />584':5• <br />2457.1 <br />: 10 <br />'6310:6 <br />3018.4 <br />.•10 <br />7480.6 <br />3700.2 <br />20 <br />5864.6 <br />2460.3 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />.7512:2 <br />3718.2 <br />/• 30 <br />15881:7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />17534.9 <br />3736.2 <br />40 <br />':5898.8 <br />2493.8 <br />40 <br />6669:2 <br />3062.8 <br />.140 <br />7557.7 <br />3754.4 <br />50 <br />.5916:0 <br />250G.1 <br />i 50 <br />GM.8 <br />3077.7 <br />50 <br />.7580.5' <br />3772.6 <br />Corrections to be Added (T = Tangent.- -E. =External.) <br />" Int. <br />nSle. Curve 5°, 10° . <br />15° :20° 25° 30° : 35° '40° 45° SO- ' 55 t60° <br />. 65° <br />70° <br />85° T=.33 ' .66 <br />1.00 1.33 1.68 2.02 2.36, 2.70 3.05 3.40 3.77 4.14 <br />4.55 <br />4.89 <br />E=.128' .259 <br />.391 .524 .6571 .790 .926 1.06 1.20 1.34 1.47 1.62 <br />1.76 <br />1.91 <br />T =.36 .72 - <br />1:09 1.45 1.83 2.20 2.57 2.94 3.32 3.70 4.10 4.50 <br />4.91 <br />5.32 <br />90° E-.149 .299 <br />.450 .603 .756 .910 1.07 1.22 1.38 1.54 1.70 1:87 <br />2.03 <br />2.20 <br />T=.39 .79 <br />1.19 1.55 2.00 2.40 2.80 13.20-13.61 4.02 4.49 4.98 <br />5.38 <br />5.83 <br />95 <br />E =.174 .350 <br />.522 .706 .985 1.06 1.25 1.43 1.62 '1.80 1.99 .2.18 <br />2.38 <br />2.58 <br />T =.43 .86 <br />1:30 1.74 2.18 2.62. 3.06 3.50 3.95 4.40 4.88 5.37 <br />5.85 <br />8.34 <br />100° <br />IE =.200 .401 <br />.604 .809 1.01 1.22 1.43 1.64 1.85 2.06 2.28 2.50 <br />3.73 <br />2.96 <br />105° , T =.46 .94 <br />1.42 1.90 2.38 2.87 3.34 3.84 4.35 4.84 5.35 5.87 <br />2.14 2.39 2.64 2.90 <br />6.40 <br />3.16 <br />6.93 <br />3.41 <br />E =.230 .470 <br />.700 ,38 1.17 1.42 1.65 1.90 <br />30 <br />9259.0 <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 />Angle" <br />figl <br />Tangent <br />External <br />Int' <br />Angle' <br />Tangent <br />External <br />106° <br />7603.5 <br />'3791:0 <br />1111. <br />8336.7 <br />4386.1 <br />'116°,r <br />9169:4 <br />5082.7. <br />10' <br />7626.6, <br />.25° <br />10' <br />'8362.7. <br />4407.6 <br />10^ <br />' 9199.1 <br />'5107.9 <br />20 <br />• 7049:7• <br />,3809.4. <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 />38465.5 <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 />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 />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 />8629.3 <br />4628.6 <br />50 <br />0504.4' <br />5368.2 <br />108 '" <br />1 <br />' 7886:2- <br />4018.2 <br />113 <br />8656.6 <br />4651.3 <br />' <br />-118 <br />9535.7 <br />5305.1 <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 />5449.2' <br />30. <br />` 7059.0 <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 />150 <br />9694.7 <br />5531.7 <br />109. .= <br />8032.7 <br />4137.1, <br />114 <br />8822,.9 <br />4790.4 <br />419, <br />'9727..6 <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 />9792.0 <br />5615.5 <br />30' <br />8107.3. <br />4197.0 <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 />893Pi.3' <br />4885.7 <br />40 <br />9857.7 <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 />4983.1 <br />20 <br />9991.0. <br />5787.7 <br />30 <br />4322.4 <br />30 <br />:9080.0 <br />5007.8 <br />.30'.`10025.0; <br />5817.0 <br />40: <br />.8259.3 <br />8285.0 <br />4343.6 <br />409110.3• <br />5032..6. <br />" 40 ,10059:0. <br />5846.5, <br />50 <br />8310.8 <br />43G4.850 <br />01$0.8 <br />5057.6 <br />50 <br />10093.0 <br />5876.1' <br />Corrections to be Added (T =Tangent. E =External.) <br />Int <br />' <br />Angie <br />Curve 5° <br />10° <br />15° <br />1 20° <br />.25° <br />1 30° <br />W. <br />40° <br />45° <br />SO* <br />SS! <br />66° <br />65° <br />70° <br />IOO' <br />T=.43 <br />.86 <br />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 />11.37 <br />5.85 <br />6.34 <br />E =.200 <br />.401 <br />.604 <br />:809 <br />1.01 <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 />T=.46 <br />.94 <br />1.42 <br />1.90 <br />2.38 <br />2.87 <br />3.34 <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />E =.230 <br />.470 <br />.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 <br />3.41 <br />110o <br />T=.60 <br />1.03 <br />1.55 <br />2.08 <br />2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.76 <br />11.31 <br />5.86 <br />6.43 <br />7.01 <br />7.59 <br />E=.260 <br />.535 <br />.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 />8.35 <br />3.65 <br />3.95 <br />115" <br />T=.54 <br />1.13 <br />1.70 <br />2.29 <br />2.86 <br />3.45' <br />4.03 <br />4.63 <br />5.23 <br />'5.837.07 <br />7.70 <br />8.35 <br />E-.307 <br />.624 <br />.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 <br />4.58 <br />120°,. <br />T=.61 <br />1.25 <br />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 />7.60 <br />8.51 <br />9.21 <br />E=.339 <br />.720 <br />1.08 <br />1.45 , <br />1.£2 <br />2.20 <br />2 L6 <br />2.95 <br />x'3.33 <br />3.72 <br />4.19 <br />4.50 <br />4.91 <br />6.32 <br />'A <br />