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VI TA111.1, 1. - Tangents and Externals to a 1° Curve, <br />cluvri -lM ff <br />Int. <br />Angle <br />ran ent <br />rxlenial <br />Int. <br />Anglc <br />Tangent <br />External <br />• AIn•�gtl'c <br />Tangent <br />External <br />65° <br />5250.3 <br />2071.7 <br />90° <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 />- 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 />25.56.0 <br />30 <br />6768.1 <br />3138.1 <br />- 40 <br />5311.9 <br />2053.5 <br />40 <br />6002.7 <br />2568.6 <br />'40 <br />6738.1 <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 />31G3.7 <br />'96 <br />5343.0 <br />2104.7 <br />93 <br />0037.8 <br />2504.0 <br />100 '' <br />G828.3 <br />3184.1 <br />10 <br />5358.6 <br />211.5.3 <br />10 <br />GU53.4 <br />2606.8 <br />10 <br />G848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />. 2(319.7 <br />20 <br />GBGS.S <br />3215.1 <br />30 <br />-5380.0 <br />2136.7 <br />30 <br />GU90.8 <br />2032.G30 <br />30, <br />GS80.2 <br />3230.8 <br />90 <br />5 105. 6 <br />2117.5 <br />40 <br />G1US. G <br />2045.5 <br />- -40 <br />i;900.0 <br />3246.5. <br />50 <br />5421.4 <br />215S.4 <br />50 <br />6126.4 <br />2658.5 <br />50 <br />6930.1 <br />3262.3 <br />87 <br />3437.2 <br />2169.2 <br />94 <br />6114.3 <br />2671.6 <br />101 - <br />6950.6 <br />3278.1 <br />10 <br />5453.1 <br />2150.2 <br />10 <br />G1G2,6 <br />2G84.7 <br />10 <br />6971.3 <br />3294.1 <br />20. <br />5169,0 <br />2191.1 <br />20 <br />6130.2 <br />2697.9 <br />20 <br />6992.0 <br />3310.1 <br />30 <br />5184.9 <br />2202.2 <br />30 <br />6193.3 <br />2711.3 <br />30 <br />7012.7 <br />3320.1 <br />40 <br />5500.9 <br />2213.2 <br />40 <br />6216.4 <br />2731.5 <br />40 <br />7033.6 <br />3342.3 <br />50 <br />5517.0 <br />2224.3 <br />30 <br />6234.G <br />2737.9 <br />50 <br />7054.5 <br />3358.5 <br />88 <br />55331 <br />2235.0 <br />95 <br />6252.8 <br />2751.3 <br />102 <br />7070.0 <br />3374.0 <br />" 10 <br />5540.2 <br />2240.7 <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 />628U.4 <br />2778.3 <br />20 <br />7117.8 <br />3107.7 <br />30 <br />5581.6 <br />2300.3 <br />1 30 <br />QU7.0 <br />2792.0 <br />30 <br />7139.0 <br />3424.3 <br />- 40 <br />5597.8 <br />2`280.0 <br />40 <br />6322.3 <br />2805.6 <br />40 <br />71GO.3, <br />3140.9 <br />50 <br />'5614.2 <br />2292.0 <br />50 <br />6344.8 <br />2810.4 <br />50 <br />7181.7, <br />3457.6 <br />110 <br />8182.8 <br />4259.7 <br />/ <br />8993.8 <br />4934.1 <br />120 <br />9924.0 <br />5729.7 <br />89 <br />5630.5 <br />2303.5 <br />96 <br />6363.4 <br />2833.2 <br />103 <br />7203.2 <br />347.1.4. <br />10 <br />5646.9 <br />2315.0 <br />10 <br />6382.1 <br />2847.0 <br />10 <br />7224.7 <br />3491.3 <br />20 <br />5563.4 <br />2326.6 <br />20 <br />6100.8 <br />2361.0 <br />20 <br />7246.3 <br />3503.2 <br />30 <br />5,370:9 <br />2338.2 <br />30 <br />6119.5 <br />257.5.0 <br />30 <br />-7268.0 <br />3525.2 <br />" 40 <br />569G.4 <br />2349.8 <br />40 <br />6435.4 <br />23S9.0 <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 />00 . <br />5729.7 <br />2373.3 <br />97 - <br />6470.2 <br />2917.3 <br />101 <br />7333.6 <br />3570.8 <br />10 <br />3746.3 <br />2385:1 <br />1.0 <br />6495.2 <br />2931.6 <br />10 <br />7355.G <br />3594.2 <br />20 <br />.5763.1 <br />2397.0 <br />20 <br />(3514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611.7 <br />30 <br />5779.9 <br />2403.9 <br />30 <br />0533.4 <br />2960.3 <br />30 <br />7399.9 <br />3029-2 <br />40 <br />5796.7 <br />2420.9 <br />40 <br />G552.6 <br />2974.7 <br />40 <br />7122.2 <br />3546.8 <br />50 <br />5813.0 <br />2432.9 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444,.6 <br />3064.5 <br />91` <br />5830.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7-167.0 <br />3652.3 <br />10 <br />5847.5 <br />M7.1 <br />10 <br />6610.6 <br />3015.4 <br />10 <br />7439.6 <br />3700.2 <br />20 <br />5861.6 <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 />7534.0 <br />373G.2 <br />40 <br />5598.8 <br />2193.8 <br />40 <br />6669.2 <br />3062.8 <br />,40 <br />7357.7 <br />3754.4 <br />50 <br />59 16. 0 <br />250G.1 <br />0 <br />6683.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to he Added (T=Tangent. E.=External.) <br />Int. <br />15° <br />20° <br />Int. <br />R <br />30" <br />35° 40° <br />45° <br />Angle Curve S. <br />10° <br />15° 20° <br />25 <br />130° 35° 40° 45° <br />SD° 55° <br />60° 65° -70° <br />85° T=.33 <br />116° <br />1.09 1.33 <br />1.68 <br />12.02 2.30 12.70 13.05 <br />3.40 3.77 <br />4.14 4.55 14 11 <br />E =.128 <br />2 <br />,259 <br />.391 .524 <br />.657 <br />.790 .926 1.06 1.20 <br />1.34 1.47 <br />1.62 1.76 1.91 <br />90° T=.35 <br />.72 <br />I <br />1.09 1,45 <br />1.83 <br />2.20 2.57 2.94 3.32 <br />11.38 <br />3.70 4.10 <br />11.54 <br />4.50 4.91 5.32 <br />li =.149 <br />.299 <br />A.5 AM .603 <br />.756 <br />.U1D 1.07 1.22 <br />1.70 <br />1.87 2.03 2.20 <br />95° T=.30 <br />.79 <br />1.19 +1.55 <br />2.00 <br />2.10 2.80 3.'1013.61 <br />4.02 14.49 <br />14.98 5.36 5.83 <br />E =.154 <br />.35D <br />.5221 .708 <br />.985 <br />1.OB 1.25 1.43 `1.62 <br />1.60 1.99 <br />2.18 2.38 2.56 <br />1D0° E T=-43 <br />86 <br />1.30 1.74 <br />2AS <br />2.62 3.06 3.50 3.95 <br />11.83 <br />4.4p 4.88 <br />5.37 5.85' 6.34 <br />12.00 <br />1]=.20 <br />.401 <br />.6041 .809 <br />1.01 <br />1.22 1.43 1.6-1 <br />2.OB 2.'38 <br />2.50 13.73 <br />105° T =.46 <br />-14 <br />1.42 1.1,10 <br />2 .38 <br />2.87 3.34 3.84 4.3;, <br />4.84: 5.35 <br />5.87 0.40 6.93 <br />L=.230 <br />A'0 <br />.7C0 .938 <br />1-17. <br />1.42 1.65 1 0 12.14 <br />2.39 2.61 <br />2.00 3.16 3.41 <br />_m_,�s•_��_a�.ti - _'.� �•a.:,�;�. y�.a_�,>:, .yah ::x- .� ..�tis°a �a��- <br />TABLE I. Tangents and Externals to a•1' Curve. SII <br />Chord= 100 ft. <br />6 A t. TangAnt Externaltangent External - Tangent External Angle le <br />Corrections to be Added (T=Tangent. E=External.) <br />Iat. Curve 5° 10° <br />15° <br />20° <br />Int. <br />R <br />30" <br />35° 40° <br />45° <br />50° <br />559 <br />106" <br />7603.5 <br />3791.0 <br />111° <br />8336.7 <br />4386.1 <br />116° <br />9169.4 <br />5082.7 <br />10' <br />7626.6 <br />3809.4 <br />10' <br />8362.7 <br />4}07.6 <br />10' <br />9199.1 <br />5107.9 <br />20 <br />7CA9.7 <br />3327.9 <br />20 <br />8388.9 <br />4429,2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />7072.0 <br />3846.5 <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 />3002.9 <br />112. <br />8494.6 <br />4516.6 <br />.117 <br />9349.9 <br />5230.2 <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 />S575.0, <br />4583.4 <br />30, <br />9442.2 <br />5315.0 <br />40 <br />7938.1 <br />3979.4 <br />40 <br />5602.1 <br />460G.0 <br />40 <br />0473.2 <br />5341.5 <br />30 <br />7862.1 <br />3993.7 <br />50 <br />8629.3 <br />4628.6 <br />50 <br />9304.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.G <br />4651.3 <br />118 <br />9535.7 <br />5395.1 <br />10 <br />7910.4 <br />4037.8 <br />10 <br />86S4.0 <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 />7959.0 <br />4077.2 <br />30 <br />8739.2 <br />4.720.3 <br />30 <br />9630.7 <br />5476.5 <br />40 <br />4097.1 <br />'40 <br />8767.0 <br />4743.6 <br />40' <br />9662.5 <br />:5504.0 <br />50 <br />.7983.5 <br />8008.0 <br />4117.0 <br />50' <br />8704.0 <br />4766.0 <br />3O <br />9694.7 <br />•5531.7 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />8822.9 <br />4790.4 <br />119 <br />9727.0 <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 />4197.9 <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 />9357.7 <br />5672. <br />.50 <br />8157.5 <br />4239.0 <br />50 <br />8965.0 <br />4909.0 <br />50 <br />9390.8 <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 />498321 <br />20 <br />9991.0 <br />5787:7 <br />30 <br />8259.3 <br />.4322.4 <br />30 <br />9OSO.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 />4304.8 <br />50 <br />9130.5 <br />5057.6 <br />50 <br />10093.0 <br />5876.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />Iat. Curve 5° 10° <br />15° <br />20° <br />25° <br />30" <br />35° 40° <br />45° <br />50° <br />559 <br />601 <br />65° <br />70° <br />Angle <br />T=.43 .88 <br />1.30 <br />1.74 <br />2.18 <br />2.62 <br />.3.06 3.50 <br />3.95 <br />4.40 <br />4.88 <br />5.37 <br />5.85 <br />.6.34 <br />100° E =.200 .401 <br />.604 <br />809 <br />1.Oi <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.00 <br />2.28 <br />2.50 <br />2.73 <br />2.90 <br />T=.46 <br />1.42 <br />1.90 <br />2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4'.84 <br />5.35 <br />5.67 <br />6.40 <br />6.93 <br />.94 <br />105, E =:230 .110 <br />.700 <br />.938 <br />1.17 <br />1.42 <br />1.65 1.90 <br />2.14 <br />2.39 <br />2.64 <br />2.90 <br />3.16 <br />3.4] <br />T=,50 <br />355 <br />2.08 <br />2.60 <br />3.14 <br />3.6fi 9.21 <br />4.76 <br />5.31 <br />5.88 <br />8.43 <br />7.01 <br />7.59 <br />11D° .1.03 <br />E=.280 535 <br />.808 <br />1.08 <br />1.36 <br />363 <br />1.91 2.19 <br />2.49 <br />2.61 <br />3.05 <br />3.85 <br />3.05 <br />3.95 <br />T=.54 1.13 <br />1.70 <br />2.29 <br />2.86 <br />'3.45 <br />4.03 4.63 <br />5.23 <br />5.83 <br />8.44 <br />7.07 <br />7.70 <br />8.35 <br />115° 13=307 .624 <br />.939 <br />1.26: <br />1.57 <br />1.89 <br />2.21 2.54 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 <br />4.58 <br />T=.61. 1.25 <br />1.89 <br />2.52 <br />3.16 <br />3.81 <br />4.44 5.11 <br />6.78 <br />8.44 <br />7.11 <br />7.80 <br />8.51 <br />9.21 <br />120° E =.339 .720 <br />1.08 <br />1.45 <br />1.82 <br />2.20 <br />2.56 2,95 <br />3.33' <br />3.72 <br />4.10 <br />4.50 <br />4.91 <br />6.82 . <br />111 <br />