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V1, TABLE I. - Tangents and Externals to a 1° Curve. <br />C1inrd=1M it_ <br />AngleI <br />Tangent <br />External <br />A gle <br />Tangent <br />I External <br />Angle <br />I Tangent <br />External <br />85° <br />5250.3 <br />2041.7 <br />92° ' <br />5933.2 <br />2518.5' <br />: 99° <br />G703.6 <br />3092.7 <br />10` <br />5265.6 <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6723.4 <br />3107.7 <br />20 <br />5251,0 <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 />6763.1 <br />3133.1 <br />40 <br />5311.9 <br />2083.5 <br />40 <br />6002.7 <br />2568,G <br />40 <br />6733.1 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />50 <br />6503.2 <br />316S.7 <br />80 <br />5313.0 <br />2104.7 <br />93 <br />66037.8 <br />2594.0 <br />100 <br />6323.3 <br />3184.1 <br />10 <br />5355.6 <br />2115.3 <br />10 <br />6055.4 <br />2606.8 <br />10 <br />6843.5 <br />5262.3 <br />20 <br />5371.2 <br />2126.0 <br />20 <br />69073.1 <br />2619.7 <br />20 <br />6863,8 <br />.3199.6 <br />3215.1 <br />30 <br />5339.9 <br />2136.7 <br />30 <br />6090.8 <br />2632.6 <br />30 <br />6339.2 <br />3230.8 <br />40 <br />540.9.6 <br />2147,5 <br />40 <br />GLOS.6 <br />2645.5 <br />40 <br />6909,6. <br />3246.5 <br />.50 <br />5421.4 <br />2158.4 <br />50 <br />69126.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />5437.2 <br />2160.2 <br />94 <br />6144.3 <br />2671.6 <br />101 <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2180.2 <br />10 <br />6162.6. <br />2634.7 <br />1.0 <br />6971.3 <br />3294.1 <br />20 <br />5469.0 <br />2191:1 <br />20 <br />6180.2 <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.!0. <br />2213.2 <br />40 <br />6216.4 <br />2724.5 <br />40 <br />7033.6 <br />3.342.3 <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 />05 <br />6252,8 <br />2751.3 <br />10: <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 />3301.2 <br />20 <br />5565.4 <br />2255.0 <br />20 <br />6289.4 <br />2778.3 <br />20 <br />7117.3 <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 />5597.8 <br />22SD,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 />2319.4 <br />50 <br />7181.7. <br />3457.6 <br />89 <br />56130.5 <br />2303.5 <br />•9G <br />6363.4 <br />2533.2 <br />103 <br />7203.2. <br />3474.4 <br />10 <br />5646.9 <br />2315.0 <br />10 <br />6352.1 <br />2847:0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5G63.,1 <br />2326.6 <br />20 <br />61400.8 <br />2861.0 <br />20 <br />7246.3. <br />3503.2 <br />30 <br />5679.9 <br />2333.2 <br />30 <br />6419.5 <br />2579:0 <br />30 <br />7263.0 <br />3525.2 <br />40 <br />5696.4 <br />2349.8 <br />40 <br />G438.4 <br />2889.0 <br />40 <br />72889.8 <br />3542.4 <br />50=. <br />5713.0 <br />2361.5 <br />50. <br />G457.3 <br />2903.1 <br />50 <br />7311.7 <br />3559.6 <br />.90 <br />5729.7 <br />2373.3 <br />07 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2355.1 <br />10 <br />6495.2 <br />2931.6 <br />10 <br />7355.6 <br />3594.2 <br />20 <br />576:3.1 <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 <br />5796.7 <br />2420.0 <br />40, <br />6552.6 <br />2974.7 <br />40 <br />7422.2 <br />3646.8 <br />50 <br />5813.6 <br />2432.0 <br />50 <br />6571.9 <br />2959.2 <br />.50 <br />7444.6 <br />3654.5 <br />91 ' <br />5830.5 <br />2444.9 <br />03 <br />6591.2 <br />3003.8 <br />105 <br />7467.0 <br />3652.3 <br />10 <br />5347.5 <br />2457.1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7459.6. <br />3700.2 <br />20 <br />5S64.6 <br />2469.3 <br />20 <br />6030.1 <br />303:3.1 <br />20 <br />7512.2 <br />3718.2 <br />30 <br />5581.7 <br />2451.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />3736.2 <br />4.0 <br />.5398.8 <br />2493.3 <br />40 <br />6669.2 <br />3062.8 <br />40 <br />7557.7• <br />3754.4 <br />50 <br />5916.0 <br />256G.1 <br />50 <br />6639.8 1 <br />3077.7 <br />50 <br />7530.5 <br />3772.6 <br />Corrections to be Added (T =Tangent. E. =External.) <br />Ant <br />Curve 5° 10° 1 1S° ( 20° <br />25° (30° <br />135° 1 40° <br />45° 50° <br />1 55° 1 60° 65° 70° <br />Angie <br />Angle I <br />Tangent) <br />External <br />106' <br />85° T=.33 .GO 11.00 11.33 <br />11.08 2.02 <br />2.36 2.70 <br />3.05 3.40 <br />3.77 4.14 4.55 4.89 <br />E=.129 .259 .391 .524 <br />.657 .700 <br />.926 1.05 <br />1.20 1.34 <br />1.47 1.62 1.76 1.41 <br />yq° T=.36 .72 1.09 1.45 <br />1.63 2.20 <br />2.57 2.94 <br />3.32 3.70 <br />4.10 4.50 4.91 5.3. <br />R =.149 .299 '.450 .603 <br />.756 .910 <br />1.07 1.22 <br />1.33 1.54 <br />1.70 1.87 2.03 2.20 <br />95° T=.39 .79 1.19 1.55 <br />2.00 2.4D <br />2.80 3.20 <br />3.61 4.02 <br />4.49 4.98 5.38 5.33 <br />E =.174 .350 .522 .706 <br />°35 1.06 <br />1.25 1.43 <br />162 1.30 <br />1.99 2.18 2.38 2.58 <br />100° T=.43 .36 1.30 1,74 <br />2.15 2.62 <br />3.00 3.50 <br />3.95 4.40 <br />4.88 5,37 ,5,85 6.31 <br />E=.200 ,401 .604 .8091.01 <br />1.22 <br />1.43 164 <br />13512.05 <br />2.2512.50 2.73 1 2.96 <br />105° T=.46 .94 11.42 11 ,0 <br />2.33 2.87 <br />3.34 3.84 <br />4.35 4.34 <br />5.35 5.87 6.40 6.91 <br />E =.230 .470 .700 .939 <br />1.17 ,1.42 <br />1.65 1.90 <br />2.14 , 2.39 <br />2.64 2.90 3.16 3.41 <br />0 <br />TA131E I. - Tangents and Externals to a 1° Cun�e. VII <br />C}hnrd =100 ft. <br />Int. <br />Angle <br />Tangent <br />External <br />AaBlInt <br />e ( <br />Tangent <br />External <br />Angle I <br />Tangent) <br />External <br />106' <br />7603.5 <br />3791.0 <br />111° <br />8330.7 <br />4356.1 <br />1161 <br />9169.4 <br />5082.7 <br />1(Y <br />7626.6 <br />3800.4 <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 />3338.9 <br />4429.2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />7672.9 <br />3846.5 <br />30 <br />5415.1 <br />4450.9 <br />30 <br />9'259.0 <br />5153,8 <br />40 <br />7696,3 <br />3863.2 <br />40 <br />3441.5 <br />4472.7 <br />40 <br />9289.2 <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 />8521.3 <br />4535,8 <br />10 <br />9380.5 <br />5262.3 <br />26 <br />7790.5 <br />3940.9 <br />20 <br />8548.1 <br />4.561.1 <br />20 <br />9411.3 <br />5288.6 <br />30 <br />7514.3 <br />3960:1 <br />30 <br />S575.0 <br />45S3.4 <br />30 <br />.9442.2 <br />53 15. 0 <br />4o <br />7538.1 <br />3979.4 <br />40 <br />5602.1 <br />4606.0 <br />40 <br />9473.2 <br />534 L5 <br />50 <br />7562.1 <br />3998.7 <br />50 <br />8629.3 <br />4625.6 <br />50. <br />9504.4 <br />5363.2 <br />109 <br />7SS6.2 <br />4018.2 <br />113 <br />8656.6 <br />4G51.3 <br />118 <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.5 <br />10 <br />3654.11 <br />4674.2 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7934.6 <br />4051.4 <br />20 <br />8711.5 <br />4697.2 <br />20 <br />9595.9 <br />5449.2 <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 />70S3.5 <br />4097.1 <br />40 <br />8767.0 <br />4743.6 <br />40 <br />9GC2.0. <br />5504.0 <br />50 <br />8003.0 <br />4117.0 <br />50 <br />S794.9 <br />4706.9 <br />50 <br />9694.7 <br />,5531.7' <br />109 <br />8032.7 <br />4137.1 <br />114 <br />3522.9 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />8551.0 <br />4514.1 <br />10 <br />9759.4 <br />5587.4 <br />20 <br />3052.3 <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 />5207.7 <br />=861.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4218.4 <br />40 <br />8936.3 <br />4855,7 <br />40 <br />0857.7 <br />5672.3 <br />50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.9 <br />50 <br />0890.8 <br />5700.9 <br />110 <br />8152.3 <br />4259.7 <br />115 <br />8993.5 <br />4934.1. <br />120 <br />9924.0 <br />5729.7 <br />10 <br />5208.2 <br />4230.5 <br />10 <br />9022.7 <br />4953,6 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />5233.7 <br />4301.4 <br />20 <br />9051.7 <br />4983,1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />3259.3 <br />4322.4 <br />30 <br />0030.9 <br />5007,8 <br />30 <br />10025.0 <br />5517.0 <br />40 <br />3285.0 <br />4343.6, <br />40 <br />9110.3 <br />5032,6 <br />40 <br />10059.0 <br />5346.5 <br />50 <br />8310.8 <br />43G4.8 <br />50 <br />0139.$ <br />5057.6 <br />50. <br />10093.0 <br />537G.1 <br />Corrections to be Added (T = Tangent. E = External.) <br />Cu".lat 5° <br />I <br />10° 15-29' <br />25° 130° <br />40° <br />45° 50' <br />55° I 60° 165° <br />70° <br />Angle <br />135° <br />T=.43 <br />S6' 1.30 171 <br />2.18 + 2.62 <br />3.06 350 <br />3.95 4.10. <br />4.33 1 5.37 <br />5.35 <br />6.34 <br />LOU, E=.200 <br />1 .401 .601 .509 <br />101 1.22 <br />143 1.61 <br />1.35 2.06 <br />2?3 2.50 <br />?.,"3 <br />2.96 <br />T=.46 <br />.94 1.42 1.90 <br />2.35 2.87 <br />3.34 3.34 <br />4.35 4.94 <br />7 <br />6.40 <br />6 93 <br />105' E=.^30 <br />.470 .7001 .03S <br />1.17 142 <br />1,651 1.90 <br />2.14 2.39 <br />21.64+20 <br />3.16 <br />3 hl <br />T=,.50 <br />1.03 2.08 <br />2.60 3.14 <br />3.66 4.21 <br />4.76 5.31 <br />3 <br />7.01 <br />9 <br />110° <br />E='100 <br />11.55 <br />.535 SOB 1.09 <br />1.36 1.63 <br />1,91 2.19 <br />2.40 2.61 <br />5 <br />3.6513.05 <br />115° T=.54 <br />1.13 1.90 '2.29 <br />2.86 3.45 <br />4.03 .4.03 <br />5.23.553 <br />6.4F 7.07 <br />17.70 <br />8.30 <br />4.58 <br />E=,307 <br />624 .939.1.26 <br />1.57 1.89 <br />2.21 ''2.54 <br />?S7 3.20 <br />3.53 3.83 <br />433 <br />1201 T =.61 <br />l.25 i.S9 2.52 <br />3.16 3.81 <br />4.44 5.11 <br />5.78 6.41 <br />7:11 7.80 <br />8.01 <br />4.91 <br />15.33 <br />E=.333 <br />.720! 1.69 1.45 <br />1.82,' 2.20 <br />2.SG 2 1M <br />3.33 13.72 <br />{ 4.10 4.50 <br />