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VI TABhu I - Tangent`s 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 />External <br />Int. <br />Angle <br />Tan ent <br />g <br />External <br />85° <br />:5250.3 <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 />16' <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 />-529G.4 <br />2073.0 <br />.:30 <br />5985.3 <br />2556.0 <br />306768.1 <br />1.76 <br />3138.1 <br />1 _40 <br />;5311'.9' <br />20S3.5 <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 />'60 <br />6020.2 <br />2581.3 <br />50 <br />6803.2 <br />3168.7 <br />.450 <br />5343.0 <br />2104.7 <br />03 '. <br />6037.8 <br />2594:0 <br />100 ; <br />6828.3 <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 />3199.6 <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 />S 30 <br />5389:9 <br />213G.7 <br />30. <br />•6090:'8 <br />2632.6 <br />36 <br />6889:2 <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 />87 <br />75437:2 <br />2169:2 <br />.94 <br />6144:3 <br />2671:G <br />101 " <br />6050.6 <br />3278:1 <br />10 <br />5353:1' <br />2180.2 <br />10 <br />;6162:6 <br />2684.7 <br />10 <br />6971.3 <br />3294.1 <br />20 <br />.5469.0 <br />2191.1 <br />20 <br />'.618012 <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 />-1'30 <br />7012:7 <br />3326.1 <br />X40 <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 />50 <br />6234.6 <br />2737.0 <br />50 <br />7054:5 <br />3358.5 <br />.8 v <br />5533.1 <br />2235:6 <br />95 <br />6252:8 <br />2751.3 ' <br />102 1 <br />'7075:5 <br />33749 <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 y <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 />3440.0 <br />50 <br />5614.2 <br />2292.0 : <br />50 <br />6344.8 <br />2819.4 <br />150 <br />7181:7 <br />'3457.6 <br />'89 <br />15630.5 <br />2303.'5 <br />9G <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 />3491.3 <br />20 <br />5663.4 <br />2326.620 <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 />6219.5 <br />2375.0 , <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 />2361.5: <br />50 <br />'6457.3 <br />2903.1 <br />:50 <br />7311:7' <br />3559.6 <br />90' :x5729.7 <br />2373.3 <br />97. <br />6476.2 <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 />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 j, <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 />i <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 />16591.2. <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 />3018.4 <br />10 <br />7480.E <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 />6683.8 <br />3077.7 ` <br />50 <br />7580.5 <br />3772.6 <br />`•Corrections'to;be-Added (T=Tarigent. E. External.) <br />Inde <br />-Angle' <br />'Curve 5° <br />10°. <br />15° <br />20°: <br />25° <br />40°, <br />35° <br />'40° <br />45° <br />50° <br />55°, <br />6 0° <br />.65° <br />70° <br />85° , <br />T=.33 , <br />.66 <br />1.00 <br />L33. <br />1.68 :2.02 <br />10!. <br />2.36 <br />2.70 <br />3.05 <br />3.40 <br />3.77 <br />4.14 <br />4.55. <br />4.89 <br />.:. <br />20. <br />E=.128 <br />.259 <br />.391 <br />..524 <br />.657 <br />.790 <br />.926 <br />1.00 <br />1.20 <br />1.34 <br />1.47 <br />1.62 <br />1.76 <br />,1.91- <br />90° , <br />T=.36. <br />.72 <br />1.09 <br />1.45 <br />1.83 <br />2.20' <br />2.57 <br />2.94' <br />3.32 <br />3.70 <br />4.10 <br />4.50. <br />4.91 <br />5.32 <br />50 _ <br />E=.149 <br />.299 <br />.450 <br />..603 <br />..758 <br />.910. <br />1.07 <br />1.22 <br />1.38 <br />1.54 <br />L70' <br />1-.87 <br />2.03 <br />2.20 <br />-9 <br />T=.39 <br />.79 <br />1.19 : <br />1:55 <br />12.00 <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 />30 <br />E =.174 <br />'.350 <br />.5221 <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 />2.5S <br />10o° ' <br />T=.43 <br />-86 <br />1.30" <br />1.74. <br />2.18. <br />2.62 <br />3.06 <br />13.50 <br />3.95 <br />4.40' <br />4.88 <br />.5.37 <br />'5.85. <br />6.34 <br />113; �.. <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 />}los- <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 />30 ••.9630:7-_ <br />E =230 <br />.470 <br />.700 '.038 <br />1.17 <br />1.42 <br />1.65 <br />1.00 <br />2.14 <br />2.39 <br />2.64 <br />2.00' <br />3.16 <br />13.41 <br />TABLE I. -7 Tangents andExternalsto a.1' Curve. <br />-.Chord=100 ft. <br />Int.:' <br />:Angle: <br />Tangent <br />External <br />Int. <br />Angle- <br />Tangent <br />External <br />.`Angle" <br />TanQeint..External <br />50° <br />108 <br />60° <br />X3791.0 <br />111°8336.7- <br />.4386 1 <br />.116°'' <br />9169..4;.-5082:7; <br />2.18 <br />1W. <br />.;.7603.5= <br />". 7626.6 <br />3809.4; <br />10!. <br />8362.7., <br />4107.6. <br />': _. 10' <br />9199.1 <br />5107.9 <br />20: <br />7649.7•3827:9'. <br />.809 <br />.:. <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_t <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 />i.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 />'"8021:3; <br />4538:8 <br />10 " <br />9380 5 <br />5262.3 <br />20- <br />•7790.5" <br />•3940.9,' <br />'20 <br />8048.1'.4561:1 <br />2.61 <br />20 <br />9211.3', <br />5288.6 <br />30 <br />7814'.3 <br />.3960.1, <br />30 <br />8575.0 <br />,4583.430,.'9442.2 <br />' <br />: <br />5315:0 <br />j;t = 40i <br />„ <br />-7838.1. <br />'3979.4 <br />-- 40 .•-8602.1 <br />8.35 <br />4606:0' <br />'.40 <br />9473.2' <br />5341.5 <br />-t 50 <br />7862:1 <br />3998.7 <br />50 <br />-8629.3'..4628:G' <br />3.53 <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 />1118": : <br />9535.71: <br />5395.1 <br />10.':7910.4 <br />7.80 <br />4037.8• <br />- '10 <br />_ <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 />4.10 <br />4697.2.' <br />20 <br />9598.9 <br />5449.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />_8711,5 <br />8739.2 <br />'4720:3 <br />30 ••.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 />476G.0 <br />50'•-9694.7 <br />5531.7 <br />109., <br />8032.7 <br />4137..1 <br />114, <br />8822.9 <br />4790.4 <br />,419 <br />9727.0 <br />5559.4 <br />101 <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 />0792.0 <br />5615.5 <br />. : 30 <br />". 8107: 3 <br />4197:9 .. <br />. 30 <br />8907.7.. <br />4861:,7 ; <br />. 30 -,,-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 />5672.3 <br />50' <br />8157.5 <br />4239.0. <br />• <br />50 <br />'8965.0,_ <br />�. <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 />0022.7 ; <br />4958.6 <br />- - 10 <br />'9957.5 <br />5758.6 <br />-20 <br />4301.4 <br />.-'20 <br />.9051..7 <br />4983.1 <br />,'. 20. <br />9991:0 <br />5787:7 <br />:30• <br />.8233.7: <br />'8259.3 <br />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 />5310.8'" <br />43G4.8 <br />" 50 <br />9130.8' <br />5057.G <br />i <br />50 " <br />10003.0 <br />5876:1' <br />Corrections to be Added (T Tangent. E=External.) <br />Int. <br />Angle <br />-Curve 5° <br />.. <br />101 15° <br />20° <br />25° <br />30° '35° <br />40° <br />45° <br />50° <br />55° <br />60° <br />65° <br />70° <br />T= 43.86 <br />1.30 <br />1.74 <br />2.18 <br />2.62 3.06 <br />3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />6.34 <br />100°'. <br />E =.200 <br />.401 .604 <br />.809 <br />1.01 <br />1.22 1.43 <br />'1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 <br />2.96 <br />' <br />1.42 <br />1.90 <br />2.38 <br />2.87 3.34 <br />3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 <br />6.93 <br />105° <br />.T=.46 <br />E=.230 - <br />.94. <br />.470 .700 <br />.938 <br />1.17 <br />1.42 1.65 <br />1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.41 <br />T=.50 <br />1.03 1.55 <br />2.08 <br />2.60 <br />3.14 3.66 <br />4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43' <br />7.01 <br />7.59 <br />110°" <br />E =.260 <br />`.535 .808 <br />1.08 <br />1.36 <br />1.63 1.91 <br />2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.35 <br />3.65 <br />3.95 <br />T=.54 <br />1.70 <br />2.29 <br />2.86 <br />3.45 4.03 <br />4.63 <br />5.23 <br />5.83 <br />6.44 <br />7.07 <br />7.70 <br />8.35 <br />.1.13 <br />E =,307 <br />.624 .939 <br />1.26 <br />1.57 <br />1.89 2.21 <br />2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.58 <br />T=.61 <br />1.25 1.89 <br />2:52- <br />3.16 <br />3.81 4.44 <br />5.11 <br />5.78 <br />.6.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120°'- <br />. E =-339 <br />.720 1.08 <br />1.45 <br />1.82 <br />2.20 2.66 <br />2.95 <br />3.33 <br />3.72 <br />4.10 <br />4:50 <br />4.91 <br />b.32 <br />