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TABLE V. -RADII, ORDINATE$ AND DEFLECTIONS <br />TABLE II -Continued <br />Mid. <br />TRIGONOMETRIC FORMULAE (continued) <br />Def. <br />In any triangle: <br />Mid. <br />Tan. <br />Given a, b, C; to find c, B, A.. <br />Deg. <br />Radius <br />Use Law of Tangents. <br />Offset <br />for <br />Given A, B, c; to find a, b, C. <br />Radius <br />Ord. <br />Use Law of Sines. <br />for <br />Given a, b, c;. to find A, B, C. <br />Let a+b+c = (s -a) (s - b) (s - c) <br />s <br />2 ' <br />_ r <br />1 Foot <br />0° 10' <br />34377.5 <br />8(e - a) <br />.145 <br />0.05' <br />cosA =' <br />819.02 <br />1.528 <br />be <br />2.10' <br />20 <br />tan 3 -JA = r <br />.073 <br />.291- <br />8-a <br />20' <br />781.84 <br />. r <br />tan %B = <br />6.395 <br />2.20 <br />e - b <br />11459.2 <br />.109 <br />r <br />tan MC = <br />0.15 <br />30 <br />B -C <br />1.637 <br />6.540 <br />Area of a triangle: <br />40 <br />8594.42 <br />Area =A ab Sin C <br />.582 <br />0.20 <br />Area = V s(s - a) (B - b) (B - c) <br />747.89 <br />1.673 <br />PRISMOIDAL FORMULA - <br />2.30 <br />50 <br />6875:55 <br />.182 <br />.727 <br />Vol. - 6 (B+b+4M)- <br />h = altitude; b B = bases; M = midsection <br />TABLE III <br />MINuTEB IN.DECIMALS OF A DEGREE <br />1' <br />.0167 <br />11' <br />.1833 <br />21' <br />.3500 <br />91' <br />.5167 <br />5729.85 <br />.6833 <br />61' <br />8500 <br />9 <br />.0333 <br />19 <br />.2000 <br />119 <br />.3867 <br />32 <br />.5333 <br />,41' <br />49 <br />.7000 <br />84 <br />.8667 <br />8 <br />.0500 <br />18 <br />.2167 <br />99 <br />.3833 <br />38 <br />.5500 <br />49. <br />.7167 <br />58' <br />.8833 <br />4 <br />.0667 <br />14 <br />.2333 <br />94 <br />.4000 <br />84 <br />.5667 <br />44 <br />.7333 <br />54 <br />.9000 <br />8 <br />.0833 <br />15 <br />.2500 <br />95 <br />.4167 <br />85 <br />'.5833 <br />4e <br />".7500 <br />66 <br />.9167 <br />6 <br />.1000. <br />16 <br />.2667 <br />96 <br />.4333 <br />86 <br />.6000 <br />48 <br />.7667 <br />56 <br />.0333 <br />T <br />,.1167 <br />1T <br />.2833 <br />97 <br />.4600 <br />9T <br />.6167 <br />47 <br />.7833 <br />5T <br />.9500 <br />8 <br />.1333 <br />18 <br />.3000 <br />98 <br />.4667 <br />-88 <br />.6333 <br />48 <br />.8000 <br />88: <br />.9067 <br />9 <br />:1500 <br />19 <br />.3167 <br />99 <br />4833 <br />89 <br />.6500 <br />49 <br />.8167 <br />58.9833 <br />30 <br />10 <br />.1667 <br />90 <br />.3333 <br />90 <br />I .5000 <br />40 <br />.6667 <br />50 <br />.8333 <br />60 <br />1.0000 <br />2.327, <br />TABLE IV <br />11 <br />521.67 <br />INCHES IN DECIMALS OF A FOOT <br />' <br />1/16 <br />1.% <br />2022.41 <br />.618 <br />34 <br />% <br />% <br />3 i- <br />-2.511 <br />10.02 <br />3.45 <br />.0052 <br />.0078 <br />1.34 <br />.0104 <br />1..% I <br />.0156 <br />.0208 <br />.0260 <br />I I <br />:0313 <br />I <br />.0417 <br />1 . 052, <br />.0625 <br />.0729 <br />1910.08 <br />'.655 <br />2.618 <br />0.90 <br />30' <br />459.28 <br />2.730 <br />10.89 <br />3.75 <br />10 <br />.08M <br />.16671 <br />.25001 .33331 <br />.41671 <br />.50001 <br />.5833 I <br />.66671 <br />.75001 <br />.8130331 <br />.9167 <br />1719.12 <br />.727 <br />2.908 <br />1.00 <br />30 <br />425.40 <br />2.949 <br />11.75 <br />4.05 <br />30 <br />TABLE V. -RADII, ORDINATE$ AND DEFLECTIONS <br />Mid. <br />Tan. <br />Def. <br />Mid. <br />Tan. <br />Def. <br />Deg. <br />Radius <br />Ord. <br />Offset <br />for <br />Deg. <br />Radius <br />Ord. <br />Offset <br />for <br />1 Foot <br />1 Foot <br />0° 10' <br />34377.5 <br />.036 <br />.145 <br />0.05' <br />7° <br />819.02 <br />1.528 <br />6.105 <br />2.10' <br />20 <br />17188.8 <br />.073 <br />.291- <br />0.10 <br />20' <br />781.84 <br />1.600 <br />6.395 <br />2.20 <br />30 <br />11459.2 <br />.109 <br />.436 <br />0.15 <br />30 <br />764.49 <br />1.637 <br />6.540 <br />2.25 <br />40 <br />8594.42 <br />.145 <br />.582 <br />0.20 <br />40 <br />747.89 <br />1.673 <br />6.685 <br />2.30 <br />50 <br />6875:55 <br />.182 <br />.727 <br />0.25 <br />8 <br />716.78 <br />1.746 <br />6.976 <br />2.40 <br />1 <br />5729.85 <br />.218 <br />.873 <br />0.30 <br />20 <br />888.16 <br />1.819 <br />7.266 <br />2.50 <br />10 <br />4911.15 <br />.255 <br />1.018 <br />0.35 <br />30 <br />674.69 <br />1.855 <br />7.411 <br />2.55 <br />20 <br />4297.28 <br />.291 <br />1.164 <br />0.40 <br />40 <br />661.74' <br />1.892 <br />7.556• <br />2.60 <br />30 <br />3819.83 <br />'.327 <br />1.309 <br />0.45 <br />40 <br />3437.87 <br />.364 <br />1.454 <br />0.50 <br />9 <br />637.28 <br />1.965 <br />7.846 <br />2.70 <br />50 <br />3125.36 <br />.400 <br />1.600 <br />0.55 <br />20 <br />614.56 <br />2.037 <br />8.138 <br />2.80 <br />30 <br />603.80 <br />2.074 <br />8.281 <br />2.85 <br />9 <br />2864.93 <br />.436 <br />1.745 <br />0.60 <br />40 <br />593.42 <br />2.110 <br />8.426 <br />2.90 <br />10 <br />2644.58 <br />.473 <br />1.891 <br />0.65 <br />20 <br />2455.70 <br />.509 <br />2.036 <br />0.70 <br />10 <br />573.69 <br />2.183 <br />8.716 <br />3.00 <br />30 <br />2292.01 <br />.545 <br />2.181 <br />0.75 <br />30 <br />546.44 <br />2.292 <br />9.150 <br />3.15 <br />40 <br />2148.79 <br />.582 <br />2.327, <br />0:80 <br />11 <br />521.67 <br />2.402 <br />9.585- <br />3.30 <br />50 <br />2022.41 <br />.618 <br />2.472 <br />0.85 <br />30 <br />499.06 <br />-2.511 <br />10.02 <br />3.45 <br />19 <br />478.34 <br />2.620 <br />10.45 <br />'3.60 <br />8 <br />1910.08 <br />'.655 <br />2.618 <br />0.90 <br />30' <br />459.28 <br />2.730 <br />10.89 <br />3.75 <br />10 <br />IF09.57 <br />.691. <br />2.763 <br />0.95 <br />18 <br />441.68 <br />2.839 <br />11.32 <br />3.90 <br />20 <br />1719.12 <br />.727 <br />2.908 <br />1.00 <br />30 <br />425.40 <br />2.949 <br />11.75 <br />4.05 <br />30 <br />'1637.28 <br />.764 <br />3.054 <br />1.05 <br />14 <br />410.28- <br />3.058 <br />12.18 <br />_4.20 <br />40 <br />1562.88 <br />.800 <br />3.199 <br />1.10 <br />30 <br />396.20 <br />3.168 <br />12.62 <br />4.35 <br />50 <br />1494.95 <br />.636 <br />3.345 <br />1.15 <br />18 <br />383.07 <br />3.277 <br />13.05 <br />4.50 <br />4 <br />1432.69 <br />.873 <br />3.490 <br />1.20 <br />30 <br />370.78 <br />3.387 <br />13.49 <br />4.85 <br />10 <br />1375.40 <br />.909 <br />3.635 <br />1.25 <br />16 <br />.359.27 <br />3.496 <br />13.92 <br />4.80 <br />20 <br />1322.53 <br />.945 <br />3.718 <br />1.30 <br />30 <br />348.45 <br />3.606 <br />14.35 <br />4.95 <br />30 <br />1273.57 <br />.982 <br />3.926 <br />1.35 <br />17 <br />338.27 <br />3.716 <br />14.78 <br />5.10 <br />40 <br />1228.11 <br />1:018 <br />4.071 <br />1.40 <br />18 <br />319.62 <br />3.935 <br />15.64 <br />5.40 <br />50 <br />1185.78 <br />1.055 <br />4.217 <br />1.45 <br />19 <br />302.94 <br />4.155 <br />16.51 <br />5.70 <br />6 <br />1146.28 <br />1.091 <br />4.362 <br />1.50 <br />90 <br />287.94 <br />4.374 <br />17.37 <br />6.00 <br />10 <br />1109.33 <br />1.127 <br />4.507 <br />1.55 <br />91 <br />274.37 <br />4"594 <br />18.22 <br />6.30 <br />20 <br />1074.68 <br />1.164 <br />4.653 <br />1.60 <br />99 <br />262.04 <br />4.814 <br />I9.08 <br />6.60 <br />30 <br />1042.14 <br />1.200 <br />4.798 <br />1.65 <br />98 <br />250.79 <br />5.035 <br />19.94 <br />6.90 <br />40 <br />1011.51.1.237 <br />4.043 <br />1.70 <br />94 <br />240.49 <br />5.255 <br />20.79 <br />7.20 <br />50 <br />982.64 <br />1.273 <br />5.088 <br />.1.75 <br />96 <br />231.01 <br />5.476 <br />21.64 <br />7.50 <br />6 <br />955.37 <br />1.309 <br />5.234 <br />1.80 <br />98 <br />222.27 <br />5.697 <br />22.50 <br />7.80 <br />•10 <br />929.57 <br />1.346 <br />5.379 <br />1.85 <br />97 <br />214.18 <br />5.918 <br />23.35 <br />8.10 <br />20 <br />905.13 <br />1.382 <br />5.524 <br />1.90 <br />98 <br />206.68 <br />6.139 <br />24.19 <br />8.40 <br />30 <br />881.95 <br />1.418 <br />5.669 <br />1.95 <br />99 <br />199.70 <br />6.360 <br />25.04 <br />8.70 <br />40 <br />859.92 <br />1.455 <br />5.814 <br />2.00 <br />80 <br />193.18 <br />6.583 <br />25.88 <br />9.00 <br />Note. Chord Deflection ®2 times tangent deflection. <br />