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_ TABLE V. -RADII, ORDINATES AND DEFLEmoN6 <br />Deg, <br />TABLE II -Continued <br />Mid. <br />Ord. <br />Tan.. <br />Offset <br />TRIGONOMETRIC FORMULAE (continued) . <br />Deg. <br />'. <br />In any triangle: <br />Mid. <br />Ord. <br />Tan. <br />Offset <br />Given a; b, C; to find c; B, A. . <br />0°' 10' <br />34377.5 - <br />Use Lsw of Tangents. • , <br />.145 <br />0.05' <br />Given A, B, c; to find s, b; C:.. <br />819.02 <br />1.528 <br />Use Law of Sines: <br />2.10' <br />20 <br />Given a, b, c; to find A, B, C. <br />.073 <br />.291-0110 <br />Let s+b+c (e -7a) ' (s - b) (a - c) _ <br />20' <br />781.84 <br />s. V <br />2 s <br />r <br />2.20 <br />a(a 8) <br />11459.2 <br />.109 <br />cos AA <br />30 <br />be '' r <br />1.637, <br />6.540 <br />tan 3JA = r <br />40 <br />8584,.42 <br />i <br />,.145 <br />582 <br />0.20 <br />e <br />tan %B <br />747.89 <br />1.673 <br />6.685 <br />2.30 <br />.50 <br />tan hc; = r �. • ' r •, " <br />4.182 <br />.727 <br />0.25 <br />Area of's triangle. <br />Area = 1% ab Sin -.C. <br />{ <br />Area - V s(s -a) (a - b) (s <br />8 <br />PRISMOIDAL FORMULA,.": <br />1.748- <br />8.978 <br />2.40 <br />1' <br />5729.65 <br />Vol. - 8 (B+b:+4M). . :- '.. <br />.873 <br />'0.30 <br />h = altitude; b B = bases; M = midsection <br />688.16 <br />1.819 <br />TABLE III <br />2-50 <br />10 <br />MINmus, IN.DECIMALs OF'•4-DEOf1E19; <br />.255 <br />1' <br />.0167' <br />11' <br />.1833 <br />91' <br />.3500 <br />81' <br />.5167•' <br />41' <br />.6833 <br />91' <br />.8500 <br />9 <br />.0333 <br />IS' <br />.2000 <br />98 <br />.3887 <br />38 <br />'88- <br />.5333 <br />42 <br />.7000 <br />02 <br />.8887 <br />8 <br />.0500 <br />18 <br />.2167 <br />88 <br />.3833 <br />1.454 <br />.5500. <br />48 <br />.716T <br />a8 <br />.8833 <br />4 <br />.0887 <br />14 <br />.2333 <br />24 <br />.4000 <br />84 <br />.5667 <br />44. <br />.7333 <br />04 <br />.9000 <br />0 <br />.0833 <br />15 <br />.20 <br />50 <br />28 <br />.4167 <br />85' <br />.583346' <br />2.85 <br />.7500 <br />90 <br />.9167 <br />0 <br />.1000. <br />15 <br />.2667 <br />26 <br />.4333 <br />85 <br />..6000- <br />46 <br />.7667 <br />00 <br />.9333 <br />7 <br />.1167 <br />17, <br />.2833 <br />97 <br />.4500 <br />87 <br />.6167 <br />47 <br />.7833 <br />57 <br />.9500 <br />8 <br />.1333 <br />13 <br />.3060 <br />28 <br />:.4667 <br />'8a <br />.6333 <br />49 <br />.8000, <br />55 <br />.9667 <br />0 <br />:1500 <br />10 <br />.3167 <br />99 <br />.483382 <br />11 <br />.8500 <br />49 <br />.8167 <br />56 <br />.9838 <br />10 <br />.1667 1.20 <br />2.472 <br />.3333. <br />80 <br />.5000 <br />40 <br />.6667 <br />50 <br />8333 <br />50 <br />1.0000 <br />TABLE; IV <br />12 <br />478.34 <br />INCFIEs, IN DECIMALS OF A FOOT <br />10.45 <br />3.60 <br />8 <br />1910.08 <br />'.655, <br />2.81S <br />0.90 <br />30 <br />459.28' <br />.0052 <br />.0078 .0104 .0156 <br />.0208 0260 <br />:0313 <br />.0417 <br />.0521 <br />.0625 <br />.0729 <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 />0833 <br />I .1667 <br />I .2500 <br />I .3333 I _4167 <br />I .5000 I <br />.5833 I <br />.8887 <br />.7500 I <br />.8333 <br />.9167 <br />14 <br />410.28 <br />3.058 <br />12.18 <br />4.20 <br />40 <br />1592.88 <br />.800 <br />3.199 <br />1,10 <br />_ TABLE V. -RADII, ORDINATES AND DEFLEmoN6 <br />Deg, <br />Radius <br />Mid. <br />Ord. <br />Tan.. <br />Offset <br />Def. <br />(or <br />1 Foot <br />Deg. <br />'. <br />Radius <br />Mid. <br />Ord. <br />Tan. <br />Offset <br />Def, <br />for <br />1 Foot <br />0°' 10' <br />34377.5 - <br />.038 <br />.145 <br />0.05' <br />V° <br />819.02 <br />1.528 <br />6.105 <br />2.10' <br />20 <br />17188.8,' <br />.073 <br />.291-0110 <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 />8584,.42 <br />i <br />,.145 <br />582 <br />0.20 <br />40 <br />747.89 <br />1.673 <br />6.685 <br />2.30 <br />.50 <br />6875.551 <br />4.182 <br />.727 <br />0.25 <br />{ <br />8 <br />716.78 <br />1.748- <br />8.978 <br />2.40 <br />1' <br />5729.65 <br />.218 <br />.873 <br />'0.30 <br />20 <br />688.16 <br />1.819 <br />7.266 <br />2-50 <br />10 <br />491.1:15. <br />.255 <br />1.O1S- <br />0.35 <br />30 <br />,674.69 <br />1.855 <br />7.411 <br />2.55 <br />20 <br />4297.28.•.291 <br />1.164 <br />0.40 <br />.40 <br />661.74 <br />1.892 <br />7.556. <br />2.60 <br />30 <br />38197.83; <br />.327 <br />1.309 <br />0.45 <br />40 <br />3437.87 <br />.364 <br />1.454 <br />0.50 <br />-2 <br />837,.28 <br />1.965 <br />.7.846 <br />2.70 <br />50 <br />3125-.38 <br />.400 <br />1.600 <br />-0.55 <br />20 <br />614.56 <br />2.037•' <br />8.136 <br />2.80 <br />30 <br />603.80 <br />2.074 <br />8.281 <br />2.85 <br />2 ... <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 X70 <br />' . 509 <br />2.036 <br />0.70 <br />10 <br />573.89 <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 />548.44 <br />2.292 <br />_9,160 <br />3.15 <br />40, <br />2148.70 <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 />12 <br />478.34 <br />2.620 <br />10.45 <br />3.60 <br />8 <br />1910.08 <br />'.655, <br />2.81S <br />0.90 <br />30 <br />459.28' <br />2.730 <br />10.89 <br />3.75. <br />10 <br />P09.57 <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 />424.40 <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 />1592.88 <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 />' .838 <br />3.345 <br />1.15 <br />„ <br />15 <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 />4.65 <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 />i 30 <br />348.45, <br />3.606 <br />14.35 <br />4.98 <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 />1228.11.1.018 <br />4.071 <br />1.40 <br />la, <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.A <br />4.155 <br />16.51• <br />5.70 <br />5 <br />1146.28 <br />:1.091 <br />4.362 <br />1.50 <br />20 <br />287,:94' <br />'4.374 <br />17.37 <br />6.00 <br />10 <br />lio9.33 <br />1.127 <br />4.507 <br />'1.55 <br />21 <br />274.37 <br />4.594 <br />18.22 <br />6.30 <br />20 <br />1074. BS <br />1.164. <br />4.653 <br />1.60 <br />22 <br />262.04 <br />4-814 <br />19..08 <br />6.60 <br />30 <br />1042,.14 <br />1.200 <br />4.798 <br />1.65 <br />88 <br />2W 79, <br />5.035 <br />19.94 <br />6.90 <br />.40 <br />.1011. SI <br />11.237 <br />4.943 <br />1.70 <br />24 <br />240.49 <br />,5.255 <br />20.79 <br />7.20 <br />50 <br />082.64 <br />1.273 <br />5.088 <br />1.75 <br />26 <br />231.01 <br />5.476 <br />21.64 <br />.7.50 <br />6' <br />955.37 <br />1.809 <br />5.234 <br />1.80 <br />26 <br />222.27 <br />5.697 <br />22.50 <br />7.80 <br />10 <br />029.57 <br />1.346 <br />5.379 <br />1.85 <br />27 <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 />28 <br />206.68 <br />6.139 <br />24.19 <br />8.40 <br />30 <br />881.95 <br />1.418 <br />5.689 <br />1.95 <br />84 <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 titnee tangent deflection. <br />