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VI " TABLE I. = Tangents' ,nd Exterdals to a 1° Curve. TABLE L. -Tangents and Externals to a 1° Curve: <br />ChnrA-100 ff. Chord ='100 <br />Int. <br />Angle <br />Tangent <br />External <br />Int..,- <br />'Angle <br />I Tangent <br />I External <br />Int. <br />Angle <br />Tangent <br />External <br />1.33 1.68 2.02 <br />5250.3 <br />2041.7 <br />92"." <br />5933.2 <br />2518.5 <br />99° <br />670S.6 <br />.3092.7 <br />10' <br />'20 <br />5265.G <br />2052.1 <br />10' <br />5950.5 <br />2531.0 <br />10' <br />6728.4 <br />3107.7 <br />5.32 <br />5231.0 <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 />G002.7 <br />2568.6 <br />40 <br />6753.4 <br />3153.3 <br />50 <br />5327.4 <br />2094.1 <br />50 <br />6020.2 <br />2581.3 <br />60 <br />6803.2 <br />3168.7 <br />BO <br />53.13.0 <br />2104.7 <br />93 <br />6037.8 <br />2594.0 <br />100 <br />6828.3 <br />3134.1 <br />]0 <br />5355.0 <br />2115.3 <br />10 <br />6055.4 <br />26706.8 <br />10' <br />G34S.5 <br />3199.6 <br />20 <br />5374.2 <br />2126.0 <br />20 <br />6073.1 <br />. 2619.7 <br />20 <br />6SGS.8 <br />321.5.1 <br />30 <br />5389.9 <br />2136.7 <br />30 <br />G090.8 <br />2632.6 <br />30 <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 />G909.6 <br />3246.5 <br />50 <br />5421.4 <br />2158.4 <br />50 <br />6126.4 <br />2653.5 <br />50 <br />6930.1 <br />32G2.3 <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 />2180.2 <br />10 <br />6162.0 <br />2684.7 <br />10 <br />6971.3 <br />3204.1 <br />20 <br />5469.0 <br />2191.1 <br />20 <br />6180.2 <br />2097.0 <br />20 <br />6002.0 <br />3310.1 <br />30 <br />6484.9 <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.G <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 />3424.3 <br />46 <br />5597.8 <br />2280.G <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 />2519.4 <br />50 <br />7181.7 <br />3457.G <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 />2320.6 <br />20 <br />6400.8 <br />2861.0 <br />20 <br />7246.3 <br />3505.2 <br />-30, <br />5679.9 <br />2338.2 <br />30 <br />(3419.5 <br />2375.0 <br />30 <br />7268.0 <br />3525.2 <br />40 <br />5600.4 <br />2349.8 <br />40 <br />0438.4 <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 />80 <br />5729.7 <br />2373.3 <br />97 <br />6476.2 <br />2017.3 <br />104 <br />7333.6 <br />3576.8 <br />10 <br />5746.3 <br />2385.1 <br />10 <br />6495.2 <br />2031.6 <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 />2.108.9 <br />30 <br />6533.4 <br />2960.3 <br />30 <br />7399.9 <br />3629.2 <br />40 <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 />5813.6 <br />2432.0 <br />50 <br />6571.9 <br />2989.2 <br />50 <br />7444.0 <br />3664.5 <br />81 <br />5530.5 <br />2444.9 <br />98 <br />6591.2 <br />3003.8 <br />105 <br />7467.D <br />3632.3 <br />10 <br />5547.5 <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 />2460.3 <br />20 <br />6630.1 <br />3033.1 <br />20 <br />7519.2 <br />30 <br />5881.7 <br />2481.5 <br />30 <br />6649.6 <br />3047.9 <br />30 <br />7534.9 <br />,3718.2 <br />3736.2 <br />40 <br />5893.8 <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 />7580.5 <br />3772.0 <br />Corrections to be Added (T =Tangent. E. =External.) <br />Int. Carve 5° 10° <br />Angle <br />15° <br />20° 25° 130° <br />1 35° <br />401 45° 50° <br />.55° 1 60° 65° <br />70° <br />85° T-.33 .66 <br />1.00 <br />1.33 1.68 2.02 <br />2.36 <br />2.70 3.05 3.40 <br />3:77 4.14 4.55 <br />4.89 <br />E=.128 .259 <br />.391 <br />.524 .657 .700 <br />.926 <br />1.06 1.20 1.34 <br />1.47 1.62 1.76 <br />1.91 <br />99° T-.36 .72' <br />1.09 <br />11.45 1.83 2.20 <br />2.57 <br />2.94 3.32 3.70 <br />4.10 4.50 4.91 <br />5.32 <br />E=149 399 <br />.450 <br />.603 .756.910 <br />1.07 <br />132 1.38 1.54 <br />1-70 1.87 2.04 <br />3.20 <br />95° T,29 .79 <br />1.19 <br />1.55- 2.00,2:40 <br />2.80 <br />3.20 3.61 4.02 <br />4.49 4.98 5.36 <br />5.83 <br />E-.174 .350 <br />.522 <br />.706 .98:7 1.06 <br />1.25 <br />1.43 1.62 1.80 <br />1.99 2.18 2.38 <br />2.58 <br />100° T-.43 .86 <br />1.30 <br />1.74 2.18 12.62 <br />3.06 <br />3.50 3.95 4.40 <br />4.88 5.37 5.85 <br />6.34 <br />E-.200 .401 <br />.604 <br />.809 1.01 11.22 <br />1.43 <br />1.61 1:85 2.06 <br />2.28 2.50 2.73 <br />2.96 <br />105° T -AO .94 <br />1.42 <br />1.90 2.33 2.87 <br />3.34 <br />3.S1I4.35 4.84 <br />5.35 5.37 6.40 <br />6.97 <br />E -.230 .470 <br />-.700 <br />.03311.17 l A2 <br />1.65 <br />1.90 2:14 2.39 <br />2.64 x.90 3.16 <br />3.41 <br />Int. <br />An,p <br />Tangent <br />External <br />Int.i <br />Angle <br />Tangent <br />External <br />Int: <br />angle I <br />Tangent <br />External <br />106° <br />7603.5 <br />3791.0 <br />111° <br />8336.7 II <br />4386.1 <br />146° ; <br />.9169:4, <br />508P. 7,, <br />10! <br />7626.6 <br />3809.4 <br />10' <br />i <br />8362.7 7777 <br />4407.6 <br />10' <br />. 9199:1-..5107..9 <br />2.06 <br />20• <br />7649.7 <br />3827.9 <br />20 <br />8388.9 <br />4429.2 <br />20 <br />9229.0. <br />5133.3 <br />30 <br />7672.9 <br />3S46.5_ <br />.30 <br />8.415.1 <br />4450.9 <br />30' <br />9259.0 <br />'5158.8 <br />40 <br />7696.3 <br />38G5.2 <br />40 <br />8441.5 <br />4472.7 <br />40 <br />9289.2,.51S4".5 <br />3.14 <br />50 <br />7719.7 <br />3884.0 <br />50 <br />8.468.0 <br />-4494.6 <br />50:' <br />0319:5 <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 />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 />7514.3 <br />3960.1 <br />30 <br />5575.0 <br />.4583.4 <br />30 <br />9442.2 <br />5315.0. <br />40 <br />7538.1 <br />3979.4 <br />40 <br />8602.1 <br />4606.0 <br />4D <br />9473.2 <br />5341.5 <br />50 <br />7362.1 <br />3998.7 <br />50 <br />8629.3 <br />4628.6 <br />50 <br />9504.4 <br />5368.2 <br />108 <br />7886.2 <br />4018.2 <br />113 <br />8656.6 <br />'4051;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 />8711.5 <br />4697.2 <br />20 <br />9598.9 <br />5449.2 <br />30 <br />7959.0 <br />4077.2 <br />30 <br />5739:2 <br />4720.3 <br />30 <br />9630.7 <br />5476.5 <br />40 <br />7983.5 <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 />50 <br />8794.9 <br />47613.9 <br />50 <br />9694.7 <br />5531.7 <br />109 <br />8032.7 <br />4137.1 <br />114 <br />8822.0 <br />4790.4 <br />119 <br />9727.0 <br />5559.4 <br />10 <br />8057.4 <br />4157.3 <br />10 <br />885 r.0 <br />4S14.1 <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 />4881.7 <br />30 <br />0824.8 <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 />50 <br />8965.0 <br />4909.9 <br />50 <br />9890.8 <br />5700.0 <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 />10 <br />9022.7 <br />4958.6 <br />10 <br />9957.5 <br />5758.6 <br />20 <br />8233.7' <br />.4280.5 <br />4301.4 <br />20 <br />9051.7 <br />4983.1 <br />20 <br />9901.0 <br />5787.7 <br />30 <br />8259.3 <br />4322.4 <br />30 <br />DDS0.0 <br />5007.9 <br />30 <br />10025.0 <br />5817.0 <br />40 <br />5285.0 <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 />436,1.S <br />50 <br />6139.8 <br />5037.6 <br />50 <br />10093.0 <br />5576.1 <br />Corrections to be Added (T =Tangent. E =External.) <br />Int. <br />Angle Ghrve 5° <br />10° 15° <br />20° 1 25° <br />1 30° <br />35° 40° <br />45° <br />50° <br />55° <br />600 <br />65° 70° <br />100° T=.43 <br />.85 1.30 <br />1.74 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 6.34 <br />E=.200 <br />.401 .604 <br />.809 1.01 <br />1.22 <br />1.43 1.64 <br />1.85 <br />2.06 <br />2.28 <br />2.50 <br />2.73 2.96 <br />105° T=.40 <br />.91 1.42 <br />1.90 2.38 <br />2.87 <br />3.34 3.84 <br />4.35 <br />4.84 <br />5.35 <br />5.87 <br />6.40 6.93 <br />E =.230 <br />.470 .700 <br />.93 1.17 <br />1.42 <br />1.65 7.90 <br />2.14 <br />2.39 <br />2.64 <br />'2.00 <br />3.16 3.41 <br />110° T=.50 <br />1.03 1.55 <br />2.08 2.60 <br />3.14 <br />3.66 4.21 <br />4.76 <br />5.31 <br />5.86 <br />6.43 <br />7.01 7.59 <br />E=.260 <br />.535 .803 <br />1.08 1.36 <br />1.63 <br />1.91 2.19 <br />, 2.49 <br />•2.61 <br />3.05 <br />3.35 <br />3.65 3.95 <br />115• T=.54 <br />1.13 1.70 <br />2.29 2.86 <br />3.45 <br />'4.03 4.63 <br />5.93 <br />5.fi3 <br />6.44 <br />7.07 <br />7.70 8.35 <br />E=.307 <br />.6241 .939 <br />1.26 1.57 <br />1.89 <br />2.21 2.51 <br />2.87 <br />3.20 <br />3.53 <br />3.88 <br />4.23 4.58 <br />120° T=.61 <br />1.25 1.89 <br />2.52 3.15 <br />3.81 <br />4.44 5.11 <br />55 .73 <br />6.44 <br />7.11 <br />7.80 <br />8.51 9.21 <br />E.7201.0811.45 <br />1.82 <br />230 <br />2.50 2.93 <br />3.33 <br />3.72 <br />4.10 <br />4.50 <br />4.91 1 5.32 <br />I <br />