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VI TABU] I.- Tangents and -Externals to a 1° Curve: > <br />Chord= 100 It. <br />"., <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Iat. <br />Angle <br />Tangent, <br />External <br />;85° <br />5253:3 <br />2041.7 <br />.92°- <br />5933.2 <br />2518.5 <br />•99° . <br />'_6708:'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 />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 />BG <br />'5343:0. <br />2104.7 <br />93 <br />.6037.8 <br />2594.0 <br />100 <br />6828.3 <br />3184:1 <br />16 <br />-5358.6 <br />2115.3 <br />_ 16 <br />�G055.4 <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 />20319.7 <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 />G889.2, <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 />150- <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 />2671.6 <br />101 ' <br />6950.6 <br />3278:1 <br />10 <br />5453:1 <br />2150.2 <br />10 .6162.6 <br />.401 <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 />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />3330 <br />5484.0 <br />2202.2 <br />'30 <br />6198.3 <br />2711.2 <br />:30 <br />z7012.1 <br />3326.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />621G.4 <br />2724.5 <br />40 <br />.7033.6 <br />3342.3 <br />50 <br />5517.0: <br />2224:3 <br />50 <br />6234.6 <br />2737.9 . <br />50 <br />.7054.5 <br />3358.5 <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 />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 />3121.3 <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 />2819.4 <br />" 50 <br />71S1.7 <br />3457.6 <br />•89_ <br />5630:5; <br />2303.5 <br />'96 <br />6363.4 <br />2833.2. <br />103. <br />7203.2 <br />3474.4 <br />10 <br />5646:9* <br />2315.0 <br />- 10 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3401.3 <br />20 <br />5663:.4 <br />2326.6 <br />20 <br />6400.8 <br />2361.0 <br />20 <br />' 7246.3 <br />3508.2 <br />30 <br />5679.9• <br />2338.2 <br />30 <br />6119.5 <br />2875.0 . <br />30 <br />7268.0 <br />3525.2 <br />r 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 />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311.7 <br />'3559.G <br />90•i <br />5729.7 <br />2373:3 <br />'91 <br />G476:2 <br />2917.3 <br />104 <br />7933.6 <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 />206514.3 <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 />7399.9 <br />3629.2 <br />"-40 ;)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 />2432.9 <br />50 <br />6571.9 <br />2989.2 . <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 />3682.3 <br />10 <br />5847.5 <br />2457.1 <br />10 <br />6610.6 <br />3015.4 <br />10 <br />7489:•G <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 />30 <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 />7530.5 <br />3772.6 <br />`. Corrections to-be-Added-(T=Tangent. E.=External.) --- <br />In£. <br />' Angle, <br />'Curve 5° <br />10 -'15° <br />Int. <br />Angle <br />20°. <br />25°- <br />30° <br />35° <br />40° <br />45° <br />-50° <br />55° <br />60° <br />65° <br />-70° <br />85° '. <br />T=.33 <br />1 30 <br />.604 <br />66 <br />1.00 <br />1.33 <br />1.68 : <br />2.02 <br />2.36 <br />12.70 <br />3.05 <br />3.40 <br />3.77 <br />'4.14 <br />4.55 <br />4.69 <br />8388.9: <br />841$.1 <br />E=.128 <br />.. <br />30 . <br />.259 <br />.391 <br />.524 <br />.657 <br />.790 <br />.920+,1.06 <br />8441.5 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />,1.91 <br />90° = <br />T=.36 <br />8468.0,, <br />.72 <br />1.09 <br />1.45 <br />1.83'2.20 <br />107- <br />2.57 <br />2:94 <br />,3.32 <br />-3.70 <br />4.10 <br />4.50 <br />4.01 <br />5.32 <br />10 <br />E=.149 <br />3921.9' <br />.299 <br />..450 <br />.603 <br />.756 <br />.910 <br />1.07 <br />1.22 <br />1.38 <br />.1.54 <br />1.70 <br />.1.87 <br />2.03 <br />2.20 <br />95° <br />T=.39 <br />40 <br />.79 <br />1.19 <br />1.55. <br />2.00 <br />2.40 <br />2.80 <br />3.20 <br />3.61 <br />4.02 <br />4.49 <br />4.98 <br />5.38 <br />5.83 <br />4628.6' <br />E"-.174 <br />9.21 <br />'.350 <br />.522 <br />.706 <br />.985 <br />1.06 <br />1.25 <br />1.43 <br />1.62 <br />1.80 <br />1.99 <br />2.18 <br />2.38 <br />2:58 <br />100° <br />T =.43 <br />'4674.2._, <br />"4697.2 <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 />5.37 <br />5.85 <br />6.34 <br />7959.0 <br />7983.5 <br />E =.200 <br />40 <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 />lU5° 1 <br />T =.46 <br />.94 <br />11.42 <br />11.90 <br />12.38' <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 />4814.1' <br />4837.8 <br />E =.230 <br />9702y6 <br />.470 <br />.700 .038 <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 />TABLE I. - Tangents and Externals to a 1° Curve. VII <br />Chord=100 ft. - - <br />nt, <br />:Angle <br />Tangent <br />External <br />Int. <br />Angle <br />Tangent <br />External <br />Int. <br />' Angle <br />Tangent <br />External <br />106° <br />7603.5` <br />379,1 0 <br />111° <br />8336.7. <br />4386.1 <br />116° <br />10 <br />9169.4F <br />9199.1 <br />1 30 <br />.604 <br />10' : <br />7626.6 <br />=3809.4 <br />10' <br />8362-.7 <br />4407.6 <br />4429.2 <br />20 <br />9229.0 <br />20 <br />7649:7 <br />3827.:9: <br />20 <br />30 <br />8388.9: <br />841$.1 <br />4450:9 <br />.. <br />30 . <br />9259.0• <br />3.34 <br />1.65 <br />30 <br />'40' <br />7672:9 <br />7696.3- <br />3846.5' <br />3865.2 <br />- 40 <br />8441.5 <br />4472.7 <br />40. <br />928'3.2 <br />9319,5• <br />.470 <br />1.03 <br />50' <br />-7719.7 <br />3884:0 <br />50' <br />8468.0,, <br />449,4.6 <br />50 <br />5.86 <br />107- <br />7743:2 <br />.3902'9. <br />112' <br />8494.6 <br />4516.6 <br />.117. '9349;9' <br />10 ', <br />93.50.5 <br />5262.3 <br />10 <br />7766.8 <br />3921.9' <br />10. <br />20 <br />'8521.3: <br />8548.1 <br />4538.8 <br />4561':1 <br />.20, <br />9411:3 <br />5288.0 <br />20 <br />30 <br />7790.5. <br />7814.3. <br />3940.9 <br />3960.1 <br />: <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 />50 <br />•9473.25341.5 <br />9504:4 <br />5365.2 <br />50 <br />'7862':1 <br />3998.7 <br />50. <br />8629.3 <br />4628.6' <br />8.51 <br />9.21 <br />120° <br />108 . <br />7886.2 <br />4018.2 <br />113 1 <br />8656:6 <br />4651.3' <br />118 <br />9535.7. <br />9567.2 <br />5395.1 _ <br />5422.1 <br />10: <br />7910.4 <br />4037.8 <br />10 <br />'_-'20 <br />8684.0 <br />'4674.2._, <br />"4697.2 <br />."10' <br />20::.9598:9 <br />5449.2 <br />20 <br />7934,6' <br />4057.4 <br />30 <br />8711.5 <br />8730.2.-4720.3 <br />30. <br />,9630.7' <br />5476.5 <br />30 <br />' '40, <br />7959.0 <br />7983.5 <br />4077..2 <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 />50' <br />9694.7" <br />5531.7 <br />109: ' <br />8032.7 <br />4137.111f <br />8822.9. <br />4790.4 <br />119 - <br />10 <br />9727.:0_ <br />9759.4: <br />5559.4 <br />5587.4 <br />-10, <br />'8057.4 <br />4157.3 <br />'4177.5' <br />10 <br />8851.0 <br />8879.3 <br />4814.1' <br />4837.8 <br />.. <br />20-. <br />9702y6 <br />5615..5 <br />20' <br />30 <br />8082.3 <br />8107:3" <br />4107.9 <br />:20. <br />30 <br />5007.7 <br />4861.7 <br />- 30 = <br />,40 <br />9524.8: <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />'50 <br />..8936.3• <br />"4885._7 <br />` <br />9857..7 <br />9390:8 <br />5672.3 <br />5700.9 <br />50-, <br />8157.5 <br />4239.0 <br />.8965.0 <br />4909 9': <br />'50 <br />110., <br />8182:8 <br />4259.7 <br />115 <br />8993.8 <br />4934:1.'Y20 <br />d0._ <br />9924_.0 <br />9957:5. <br />5729.7 <br />5758.6 <br />10 <br />5208:2 <br />4280.5 <br />10 <br />20 <br />9022.7' <br />4958.6 <br />4983.1,. <br />20`. <br />9991.0 <br />5787.7 <br />20 <br />30' <br />.8233.7 <br />8259:3 <br />4301'.4 <br />30 <br />.9051.7 <br />9050.0 <br />5007.8.'. <br />30 <br />10025:0. <br />5817.0 <br />40 <br />8285:0 <br />.4322.4 <br />4343.4 <br />40 <br />9110.3 <br />5032.6 <br />? 40 ' <br />50 <br />10059.0 <br />10093.0 <br />5846.5 <br />5876A <br />50. <br />8310:^,, <br />4364.8. <br />50 <br />9139.5 <br />5057.6 <br />Corrections to be Added (T.= Tangent. E = External.) <br />Int. <br />Angle <br />Curve 5° <br />.10° <br />15° <br />23°, <br />25° <br />30° <br />35° <br />40° 45°0 <br />50° <br />55°jt2 <br />:-7 0° <br />100° , <br />' T =.43 <br />86 <br />.40] <br />1 30 <br />.604 <br />1.74 <br />'.809 <br />2.18 <br />1.01 <br />2.62' <br />1.22 <br />3.06 <br />1.43 <br />3.50 3.95 <br />1.64 1.83 <br />.4.40 <br />2.08 <br />4.58 <br />2:28 <br />'6.34E=.200 <br />2.96105° <br />T=.46 <br />.94-• <br />1.42 <br />1:90 <br />2.38 <br />1.17 <br />2.87 <br />1.42 <br />3.34 <br />1.65 <br />3.84 4.38 <br />1.90 2.14 <br />4.84 <br />2.39 <br />5.35 <br />2.64 <br />6.93E <br />3.41110°T=.50 <br />=.230. <br />.470 <br />1.03 <br />.700 <br />1.55 <br />.938 <br />2.08. <br />2.60 <br />3.14 <br />3.66 <br />4.21 4.76 <br />5.31 <br />5.86 <br />7.59E=.260 <br />'.535 <br />.808 <br />1.08 <br />1.36 <br />1.63 <br />1.91 <br />2.19 2.49 <br />2.61 <br />3.05 <br />3.95 <br />115° <br />T=.54 .1.13 <br />1.70 <br />2:29 <br />2.86 <br />3.45 <br />4.03 <br />2.21 <br />4.63 5.23 <br />2.54 2.87 <br />5.83 <br />3.20 <br />6.44 <br />3.53 <br />7.07 <br />3.88 <br />7.70 <br />4.23 <br />8.35 <br />4.58 <br />E =.307 <br />T=.61 <br />.624 <br />1.25 ' <br />.939 <br />1.89 <br />1.26 <br />2.52 <br />1.57 <br />3.16 <br />1.89 <br />3.81 <br />4.44 <br />5.11 5.78 <br />6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120° <br />E=.339 <br />.720 <br />1.08 <br />1.45 <br />1.62 <br />2.20 <br />2.56. <br />2:95 3.33 <br />3.72 <br />4.10 <br />.4.50 <br />4.91 <br />b.32 <br />