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I <br />Vi TABLE 1. � Tangents and Externals to a 1' Curve. <br />Chord = 100. ft. <br />Int. <br />'Angle <br />,Tangent <br />External <br />int. <br />Angle <br />Tangent <br />ng <br />l xternal <br />Int" <br />Angle <br />Tangent <br />Lxternal <br />854 ' <br />5250.3 <br />2041.7 <br />92°" <br />5933:2 <br />2518:5 <br />'99° <br />G708:6 <br />392.7 <br />']0' <br />62G5.6 <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107-'7 <br />20 <br />'45281:0 <br />2062.5 <br />-20' <br />5967.9 <br />2543.5 <br />20 <br />-G748:2 <br />3122.9 <br />30..5290.4 <br />2073.0 <br />2.7913.05 <br />30 <br />59S5.3 <br />255G.0 <br />30 <br />676S.1 <br />3138.1 <br />40 <br />5311.9 <br />2053.5 <br />40' <br />G002.7 <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 />2531.3 <br />50 <br />6803.2 <br />3163.7 <br />86 <br />5343.0 <br />2104.7 <br />93 <br />0037.8 <br />2594.0 <br />100 <br />6828:3 <br />3184A <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 />GOM 1 <br />2610.7 <br />•'20 <br />6868c8 <br />3215.1 <br />30 <br />6389.9 <br />2136.7 <br />30' <br />6090.8 <br />2032.6 <br />306389.2 <br />2.80 <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 />3244.3 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />32012.3 <br />87 '' <br />54.37.2 <br />21G9:2 <br />94' <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278.1 <br />" 10 <br />5453.1 <br />2150.2 <br />10 <br />6102.0 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />5169.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.0 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />- 30• <br />6193.3 <br />2711.2 <br />30 <br />'7012.7 <br />3320.1 <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 />2224.3 <br />5U <br />6234.6 <br />2737.9 <br />50 <br />7054:5 <br />3358.5 <br />88'- <br />5533.1 <br />2235.5 <br />5'- <br />6252.8 <br />2751.3 <br />102 <br />7075.5 <br />3374.0 <br />10 <br />5349.2 <br />2246.7 <br />10 <br />- 6271.1 <br />2764.8 <br />90 <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 />3307.7 <br />30 <br />5581:6 <br />2269.3 <br />30� <br />6307.9 <br />2792.0 <br />30 <br />713910 <br />3424.3 <br />40 <br />5597.8 <br />2280.6' <br />40' <br />6326.9 <br />2805.640 <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 />SO <br />7131.7 <br />3457.6 <br />88 .' <br />563015 <br />2303.5 <br />06 <br />6363.4 <br />2833.2 <br />103 - <br />7203.2 <br />3474.4 <br />10 <br />6646:9 <br />2315-0 <br />10 <br />6382.1 <br />2847.0 <br />'10 <br />7224.7 <br />3.191.3 <br />20 <br />5GQ3.4 <br />2326-6 <br />20• <br />6100.8 <br />2361.0 <br />20 <br />7246:3 <br />3503.2• <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 />5696:4 <br />2349.8 <br />40' <br />. 6438.4 <br />2889.0 <br />40 <br />•7289.8 <br />5846.5 <br />='50 <br />5713.0 <br />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />_3542.4 <br />3550.6 <br />90-- <br />5729:7' <br />2373:3 <br />97 <br />6476:2' <br />2917.3 <br />104 <br />7333:6 <br />3570.8 <br />10 <br />5746.3 <br />2385:1 <br />10 <br />6495.2 <br />2931.6 <br />10 <br />7355.6 <br />3591-2 <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 />7399:0 <br />3029.2 <br />40 <br />'5796.7 <br />2420.9 <br />40 <br />6552.6 <br />2974,7 <br />40 <br />7422.2 <br />334G.8 <br />50 <br />5813'.6 <br />2432.9 <br />50 <br />6571.0 <br />2989.2 <br />-50 <br />7444.6 <br />3064.6 <br />01•_` <br />5830.5 <br />2444.9 <br />g8 <br />6591.2 <br />3003:8 <br />105 - <br />7467,0 <br />3652.3 <br />10 <br />'5847:5 <br />2457.1 <br />"10` <br />. 6610:6 <br />3018.4 <br />7489.6 <br />3700.2 <br />-20 <br />5863.6 <br />2469.3 <br />20 <br />6630:1 <br />3033.1 <br />,10 <br />20 <br />7512.2 <br />3718.2 <br />:.30 <br />'5881.-7 <br />2481.5 <br />30• <br />6649.6 <br />3047.0 <br />'.30 <br />7534.9 <br />3736 2 <br />40 <br />5898.8 <br />2493.8 <br />40 <br />6669.2 <br />3052.8 <br />40 <br />7557.7 <br />3754.4 <br />•'-`'50 <br />5910.0 <br />250G.1 <br />50' <br />GOSS:8 <br />3077.7 <br />50 <br />75S0.5 <br />3772.6 <br />Corrections:to'-be Added' (T = Tangent... E. =External.) <br />I°t '. <br />-;Curse <br />External <br />A ngl e <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />108° <br />7603.5 <br />3701.0 <br />111?•- <br />8336.7 <br />4386.1 <br />Angle <br />5" <br />10° <br />15° <br />'20°. <br />25P <br />30° <br />35° <br />40° <br />45° <br />50° <br />'S5° <br />60°' <br />65° <br />.79° <br />8-9 <br />T=.33 <br />.66 <br />1.00 <br />1.33 <br />11.68 <br />2.02 <br />2.3E <br />2.7913.05 <br />30 <br />3.40 <br />3.77 <br />4.14 <br />4.55 <br />4.89 <br />40 <br />:.E =.126 <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 />].62. <br />1.76 <br />191 <br />:90° <br />T=35 <br />.72 <br />1.00 . <br />1.45 <br />1.83 <br />2.20 <br />12.57 <br />12.94 <br />'3.32 <br />3.70 <br />4.10 <br />4.50 <br />4.91 <br />5.32 <br />10 <br />E =.149: <br />.299 <br />.450 <br />.603 <br />.755 <br />.910 <br />1.07 <br />1.22 <br />1.36 <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 />1.55 <br />2.00 .2.40 <br />30 <br />2.80 <br />3.20 <br />13.61 <br />4.02 4-49 <br />4.98 <br />5.38 <br />5.83 <br />4600.0 <br />li =.1 i4 <br />350 <br />..5221..706 <br />50 <br />.985 <br />1.06' <br />1.25 <br />1.4311.62 <br />4628.6 <br />,1.80 <br />J-99 <br />2:16 <br />2.38 <br />2.58 <br />��° <br />T =,43: <br />86 <br />L30 <br />].74.2.18 <br />9535.7 <br />2-62 <br />3.06 <br />3.59 <br />3.95 <br />9.40 <br />4.68 <br />5.37 <br />,5.85 <br />6.34 <br />5422.1, <br />E =.2Q0 <br />..401 <br />.604 <br />'..800 <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 />12.73 <br />2.96 <br />105', <br />T = A(l94 <br />9630.7- <br />1,42 <br />140 <br />2.38 <br />2.87 <br />8.34 <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87- <br />6.40 <br />6.93 <br />411'7.0 <br />E=.220 <br />'.470 <br />.700 .938 <br />1.17 <br />1.42. <br />1,65 <br />1.CQ <br />I2.I4 <br />2.39 <br />2.G4 <br />.2.00 <br />3.16 <br />3.41 <br />TABLE 1. --Tangents and Externals to a 1° Curve. VrI <br />Chord =100 ft. - <br />Int.Int. <br />Angle <br />Tangent <br />External <br />A ngl e <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />108° <br />7603.5 <br />3701.0 <br />111?•- <br />8336.7 <br />4386.1 <br />116° '' <br />9169:4 <br />,5082.7 <br />30' <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 />2.28 <br />3827.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9229:0 <br />'6133.3 <br />-30 <br />_7649.7 <br />7072.9 <br />384G.5 <br />30 <br />8415.1 <br />4450.9 <br />30 <br />9259..0 <br />5158.8 <br />40 <br />7696.8 <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 />'3002.9 <br />"112 <br />8494:6 <br />,4516.0 <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 />4501.1 <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 />7938.1 <br />'3970. 4 <br />40 <br />8602.1 <br />4600.0 <br />40 <br />9473.2 <br />5341.5 <br />50 <br />7362.1 <br />'3998.7 <br />50 <br />8629:3 <br />4628.6 <br />50' <br />0504.4 <br />'5368.2 <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 />8684-0 <br />4574.2 <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 />5440.2 <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 />411'7.0 <br />50. <br />8794.9 <br />4766.9 <br />50- <br />9694.7 <br />5531.7 <br />1". <br />8032:7 <br />4137.1 <br />114 <br />8822.9 <br />.4790.4 <br />119 <br />9727.0' <br />5550.4 <br />10, <br />8057-4 <br />4157.3 <br />- <br />In <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 />'4197.9 <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 />9857.7 <br />5572. <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <br />5700.0 <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 />4230.5 <br />10 <br />9022.7 <br />4058.0 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />8233.7 <br />4301.4 <br />20 <br />9051.7 <br />498311 <br />26 <br />9991.0 <br />5787.7 <br />30 <br />8259.3•: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 <br />8310.8 <br />4364.8 <br />50 <br />9130:8 <br />.5057.0 <br />50 <br />10093.0• <br />5876.1 <br />i <br />Corrections to be Added (T=.Tangent. E=External.) <br />Int <br />Angle' <br />. C uve 5° <br />10° <br />15° <br />20° <br />1 25° 30° <br />'35° 40° <br />45° 50° <br />55°. <br />60° 65° 70° <br />1�° <br />T=.43 <br />.86 <br />1.30 <br />1.74 <br />2.18 2.62 <br />3.06 3.50 <br />3.95 4.40 <br />4.88 <br />5.37 5.85 6.34. <br />E =.200 <br />.4p1 <br />.604 <br />.809 <br />1.01 1.22 <br />1.43 1.61 <br />1.85 2.08 <br />2.28 <br />2.50 2.73 2.96 <br />105°• <br />T-.46 <br />.94 <br />1.42 <br />1.90 <br />2.33 2.87 <br />3.34 3,34 <br />4.35 1,84 <br />5.35 <br />5.87 8.40 6.93 <br />E -.230 <br />.470 <br />.700 <br />.938 <br />1.17 1.42 <br />-1.65 1.90 <br />2,14 2.39 <br />2.64 <br />2.90 3.16 3.41 <br />110. <br />T=•50 <br />1.03 <br />1.55 <br />2.08 <br />2.60 3.14 <br />3.66 4.21 <br />4.70 5.31 <br />5.86 <br />6.43 7.01 7.59 <br />E=.260 <br />.535 <br />808 <br />108 <br />1.38 1.83 <br />1.91 2.19 <br />2.49 2.81 <br />3.05 <br />3.35 3.65 3.96 <br />115° <br />T=.54 <br />1.13 <br />110 <br />2.29 <br />2.86 3.45 <br />4.03 4.63 <br />5.23 5.83 <br />0.44 <br />7.07 7.70 8:35 <br />E=.307 <br />.624 <br />.939 <br />126 <br />1.57 1.89' <br />221 2.54 <br />2.87 3.20 <br />3.52, <br />3.88 4.23 4.58 <br />120° <br />T=.61 <br />1.25 <br />1.89 <br />2.52., <br />3.16 MI. <br />4.44 5.11 <br />5.78 8.44 <br />7.71 <br />7.80 8.51 9.21 <br />E =.339 <br />.720 1.08 <br />1.45 <br />1.82 2.20 <br />2.16 2.95 <br />3.33 3.72 <br />4.10 <br />4.50 4.91 5.32 <br />