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VI TABLE I. --Tangents and Externals to•a 1° Curve. TABLE I. - Tangents and Externals to a 1° Curve. VIII <br />Chord =100 ft. Chord=100'ft. <br />Int. <br />Angle <br />Tangent <br />f <br />I EEtcrnal <br />Int. <br />Angle <br />Tangent <br />Externa4 <br />Int.. <br />Aaele <br />Tangent <br />External <br />.2x9..391 .524 :657 .790 X26 1.Qfi <br />5250. .3 <br />2041.7 <br />92° <br />5933.2 <br />25518.5 <br />99° <br />6708.G <br />3092.7 <br />,850 <br />10' <br />5265A <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 />206.`2,.3 <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 />255G.0 <br />30 <br />•6768.1 <br />3135.1 <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 />258L.3 <br />50 <br />6803:2 <br />316S.7: <br />86 <br />5343.0 <br />2104.7 <br />03 <br />6037.8 <br />2594.0 <br />100- ' <br />'6828.3 <br />3154.1 <br />10 <br />5358.6 <br />2115.3 <br />- 10 <br />6055.4 <br />2606.5 <br />10 <br />G848.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />G073.1 <br />2619.7 <br />20. <br />6868.8 <br />3215.1 <br />30 <br />5339.9 <br />2136.7 <br />30 <br />6090.3 <br />2632.6 <br />30_ <br />6889.2 <br />3230.S <br />40 <br />5405.6 <br />2147.5 <br />40 <br />6105.6 <br />2640.5 <br />40 <br />6909.6 <br />32.46.5 <br />50 <br />5421.4 <br />2L58.4 <br />50 <br />6126.4 <br />2858.5 <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 <br />6162.G <br />2684.7 <br />16 <br />6971.3 <br />3294.1 <br />'20 <br />'5469.0 <br />2191.1 <br />20 <br />6180.2 <br />2697.9 <br />20 <br />6902'.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 />55(0.9 <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 />5234.6 <br />2737.9 <br />50 <br />.7054.5 <br />3353.5 <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 />3424.3 <br />40 <br />5597.8 <br />2280.6 <br />40 <br />6326.3 <br />2805.6 <br />40 <br />7160.3 <br />3440.9 <br />50 <br />5614.2 <br />22732.0 <br />50 <br />63;24.8 <br />2519.4 <br />•• 50- <br />7181.7 <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 />3491.3 <br />20 <br />5663.4 <br />2326.6 <br />20- <br />6400.8 <br />2861.0 <br />'20 <br />7246.3 <br />3508.2 <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 />3542:4 <br />50 <br />A <br />5713.0 <br />2361.5 <br />50 <br />6457.3 <br />2903.1 <br />50 <br />7311,7 <br />3559. 6, <br />90 <br />5729.7 <br />MT.3 <br />97 <br />6476.2 <br />2917.3 <br />104 <br />7333.6 <br />357G.8 <br />10 <br />5746.3 <br />2355.1 <br />10 <br />G495.2 <br />2931.6 <br />10 <br />7355.6 <br />3504.2 <br />20 <br />5763.1 <br />2397.0 <br />20 <br />0514.3 <br />2945.9 <br />20 <br />7377.8 <br />3611,7 <br />30 <br />5779:9 <br />2408.0 <br />i - 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 />2432:9 <br />50 <br />6571.9 <br />2959.2 <br />50 <br />7444.6 <br />3664,5 <br />91 <br />5830`.5 <br />24-1-k.9 <br />98 ' <br />6591.2 <br />3003.5 <br />105' <br />7467.D <br />3682.3 <br />10 <br />5347.5 <br />2457,1 <br />10 <br />6610.6 <br />3018.4 <br />10 <br />7489.6 <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 />2431.5 <br />30 <br />6649.6 <br />30.17.9 <br />30 <br />7534.9 <br />3736.2 <br />40 <br />5898.8 <br />2#93.8 <br />40 <br />6669.2 <br />3063.8 <br />40 <br />7557.7 <br />3754.4 <br />50 <br />1 5916.0 <br />2506.1 <br />50 <br />6688.8 <br />3077.7 <br />50 <br />7580.5 <br />3772.6 <br />Corrections to be Added (T=Tangent. E:=External.) <br />W. Care <br />Angle <br />15° 20° 25' 30' 35° 40° <br />45°� 50° 55° 60° 65° <br />70° <br />85° T=.33 <br />G6 L00 1.33 1.68 2.02 2.36 2.70 <br />3.05 3.40 3.71 4.14 4.55 <br />4.69 <br />$ =.128 <br />.2x9..391 .524 :657 .790 X26 1.Qfi <br />1.20 1.34 1.47 1.62. 1.76 <br />1.9P <br />906 T=.3G <br />.72 1.09 1.45" 1.53 2.20 2.57 12.94 <br />3.33 3.70 4.10 4.50 4.91 <br />5.32 <br />E =.149 <br />:299 .450 .603 .756 .910 1.07 1.22 <br />1.38 1.54 1.70 1.87 2.03 <br />2.20 <br />95° T=.39. <br />.79 1.19 1.55 2.00 9.40 2.80 3.20 <br />11.43 <br />3.61 4.02 4.49 4.98 5.38 <br />1 <br />5.$3 <br />1 <br />H =.174 <br />.350 .522 .706 .935 1.06 1.25 <br />1.52 1.80 1.99 2.18 2.38 <br />2.53 <br />100° T='.13 <br />.86 £.30 1.74 2.18 2.62 3.06 13.50 <br />3.95 4.40 4.88 '5.37 3.85 <br />6.34 <br />E =.200 <br />.401 .604 .809 1.01 1 22 1.43 .1.64 <br />1.65 2.00 3:25 2.50 2.73 <br />1 2.96 <br />105' T=.46 <br />.94 11.42 1.90 2.36 3.34 3.64 <br />135 4.84 5.35 5.87 6.40 <br />6.03 <br />E=234 <br />12.87 <br />.470 .7001 .938 1:17•, 1.42 1.65 1.90 <br />2.1,4 2.39 2.04 2.90 3.16 <br />3.41 <br />-Int. <br />Angle •, <br />Tangentl <br />External <br />Int, <br />Angle <br />Tangent <br />Eslernal <br />Int, <br />_Angle j <br />19169:4 <br />Tangent <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />,8336.7 <br />4386.1 <br />116° <br />1:13 <br />5082:7 <br />10' <br />7620.6 <br />3509.4 <br />10' <br />8362.7 <br />4407.6 <br />]0' <br />9199.1 <br />5107.9 <br />20 <br />E=.230 .470 .700 .9 381.17 <br />3827.9 <br />. 20 <br />8388:9 <br />4429.2 <br />20 <br />9229.0 <br />5133.3 <br />30 <br />.7649.7 <br />7672.9 <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 />844,1.5 <br />4472.7 <br />40 <br />9289.2 <br />5184.5 <br />50 <br />7719.7 <br />3883.0. <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 />7766.5, <br />3921.9 <br />• 10 <br />8521.3 <br />4533.5 <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 />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 />460G.0 <br />40 <br />9473.2 <br />5341.5' <br />50 <br />7SG2.1 <br />3498.7 <br />50 <br />8620:3 <br />4628.6 <br />50 .. <br />9504.4 <br />5368.2 <br />108 <br />7SSG.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 />4674.2 <br />10 <br />9567.2 <br />5422.1 <br />20 <br />7934.6 <br />4057.4 <br />20 <br />5711.5 <br />4697,2 <br />20' <br />9598:9' <br />5449.2- <br />30 <br />,7959.0 <br />4077.2 <br />_ <br />30 <br />5739.,2 <br />4720.3 <br />30 <br />9630.7 ..5476.5 <br />' <br />40 <br />79S3.5 <br />4097.1 <br />40 <br />5767.0 <br />4743,6 <br />40 <br />9662.6' <br />5504.0 <br />-50 <br />8008.0 <br />.4117.0 <br />54 <br />8794.9 <br />4766.9 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />8032.7 <br />4137.1 <br />111 <br />8822:9 <br />4790.4 <br />119 <br />9727.0 <br />5550.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />8851.0 <br />4314.1 <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 />: 197.9 <br />30" <br />890',.7 <br />'4861.7 <br />30 <br />9824.8 <br />5643.8 <br />40 <br />8132.3 <br />4215.4 <br />40 <br />8936.3 <br />4885.7 <br />40 <br />9857.7 <br />5672.3 <br />50 <br />,8157.5 <br />.4239.D <br />50 <br />8965.0 <br />-47009.9 <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 />16 <br />8208.2 <br />4280:5 <br />10 <br />9022.7 <br />4058.6 <br />10 <br />9957.5 <br />5758.6 <br />20 - <br />S233.7 <br />4301.4 <br />20 <br />9051.7 <br />4983.1 <br />20 <br />9991.0 <br />5787.7 <br />30 <br />S259.3 <br />4322.4 <br />30 <br />90S0.9 <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 />t0050.0 <br />5846.5 <br />50 <br />8310.8 <br />4364.8 <br />50 <br />9139..88 <br />5057..6 <br />50 <br />t0093.0 <br />5876.1 <br />Corrections to be Added (T=Tangent. E=External.) <br />IntCurve 5° 10° 15° 20° ?S' <br />Angia <br />30° <br />35° <br />40° <br />45° 59° <br />55° .60° 65° <br />70° <br />100° T-.43 .80 1.30 1.74 2.1S <br />2.62 <br />3.06 <br />3.50 <br />3-931 1.40 <br />4.83 5.37 5.3$ <br />G.34 <br />E =.200 ,401 .604 .809 1.01 <br />1.22 <br />1:13 <br />1:64 <br />1.85 2.06 <br />2: 3 2.50 2.73 <br />2.96 <br />105° T=.46'.04 1.42 1.90 2.33 <br />2.87 <br />3.34 <br />3.84 <br />4.35 4:81 <br />5.35 5.87 6.40 <br />6.93 <br />E=.230 .470 .700 .9 381.17 <br />1.42 <br />1.65 <br />1.90 <br />2.14 2.39 <br />2.64 2.90 3.161 <br />3.41. <br />110° 'T=.50 1.03 I 1.552.03 2.60 <br />3.14 <br />3.66 <br />4.21 <br />4.75 5.31 <br />5.86 6143 7.01 <br />7.59 <br />t=.260 .535 .90811. 1.36 <br />1.63 <br />1.91 <br />2.19 <br />2.49 2.613.05 <br />3.35 3.65 <br />3.95 <br />115° T =.54 1.13 1.70" 2.29 2.36 <br />3.4.5 <br />4.03 <br />4.03 <br />5 -?3 EI.&3 <br />6.44 7.07 7.70 <br />8.35 <br />E =.307 .624 .939 1.26 1 1.5i <br />1.89 <br />2.21 <br />2.54 <br />2.871 3. <br />3.53 3.88 4.23 <br />4.58 <br />120° T=.61 125 1.89 2.52 .16 <br />3.81 <br />4.44 <br />5.11 <br />5.78 6.44 <br />7.11 7.8( 3.55 <br />9.21 <br />E=.339 .720 1.08 1.45 1.82 <br />2.20 <br />2.56 <br />2.95 <br />3-33 3'.72 <br />1 4.10 4.50 4.91 <br />5.32 <br />