Laserfiche WebLink
TABLE II -Continued <br />TABLE IV <br />TRIGONOMETRIC FORMULAE (continued) <br />In any triangle. <br />Given <br />a. b, C49 <br />to find e, B, <br />A. <br />' Use <br />Law of <br />Lines. <br />Given <br />A, B, c; <br />to find a, b, <br />C. <br />Use <br />Law of <br />Lines. <br />Given <br />a, b, c; <br />to find A, B, <br />CO <br />+ b4-c <br />(s - <br />a) (S b) (s e) <br />Leta <br />2 <br />-- s <br />- r <br />IL <br />s(s - a) <br />V2 A - <br />bo <br />tam A = <br />f � <br />r <br />tam Y2 B <br />r <br />tam C <br />Area of a triangle; <br />Area = � ab Sin C <br />Area = 1/s (s - a) (s - b) (s - c) <br />PRISMOIDAL FORMULA. <br />Vol. = h (B-I- b -I-4M) <br />h = altitude; b, B = bases; M =midsection. <br />TABLE I <br />I I <br />INCHES AND FRACTIONS OF AN I <br />FOOT <br />NCH IN DECIMALS OF A <br />1 <br />0 1 2 3� 4 5 I 6 7 8 9 i 10 11 <br />I 0052.0885J719.2552 , 3385.4219 .5052.5885 .671. .7552I.8385 , 9219 <br />1 <br />Y8 0104,pO938lpl77lt2604.3438.4271.5104.5938.6771.:,7604.8438.9271 <br />�.0156.0990. 1823, 2656.3490.4323 1 .b156.5990.6823.7656.8490.9323 <br />V4 .0208.1042.1875.2708.3542.4375.5208.6042.6375.7708.8542.9875 Y4 <br />iG <br />�.0260.1094.1927.2760.3u9 .4427.526 .6034.6927.7760.8594.9427 <br />Y8 .0313.1146.1979.2813.3646.4479.5313.6146.fi979.7813.8646.�J479 <br />. YS <br />�`.0365 1198.2031.2865.3698.4531.536 .6193.7U31.7865.8fi98.9531 y6 <br />Y2 1.0417..1250.2083,2917.3750.4583'.5417.6250,.7083.7917.8750.9583 Y2 <br />�s.0469.1302.2135.2969.3803.4635.5469.6302.7135.7969.8802.9635 <br />.0521.13541 .2188.3021.3854.4688.55211 .6354.71881 .8021.&454 968S <br />.05731406.22401 .3073.3906.4740.b573.6406.7240.8073.8906.�J740 6 <br />Y4 .0625.1458.2292.3125.395 .4792.5625.6458.7292.3125.895 .9792 Y4 <br />TJ .0677 .1510.2344 .3177 .4010.4844.5fi77.6510.7344 .8177.901A .9844 1's <br />Y8 A729.1563.23961 .3229 4063.4896.5729.6563.7396.8229.9063.989fi YS <br />- fi) <br />,0781.1615.2448.3281.4i15.4948.5781.6615.7448�.8281.9115.9948 <br />1 .0833 .1667 2500 .3333 .4167 .5000.5833.6667 .7500�.8333 .31671.000 1 <br />0 1 2 3 4 5 6 I 7 8 9 10 11 <br />� Lineal <br />feet <br />X.00019 <br />i Lineal <br />yards <br />X.0006 <br />Square <br />inches <br />X.007 <br />Square <br />feet <br />X.111 <br />Square <br />yards <br />X.000206 <br />Acres <br />X 4840 <br />Cubic inches <br />X .00058 <br />USEFUL RELATIONS. <br />miles <br />Miles <br />square feet <br />= square bards <br />7 acres <br />= square yards <br />= cubic feet <br />Cubic feet X.03704 .- cubic yards <br />Links X. 22 <br />Links X . fifi feet <br />Feet X 1.5 links <br />nano l ._...._ � csnennn►j <br />JW = G1 Vl/V = 1G7VWV <br />Radius = arc of 57.29577900 <br />Are, of 1° (radius = 1) _ M17453292 <br />Are of 1° (radius = 1) = .000290888 <br />Are of 1" (radius = 1) _ .000004848 <br />,� = 31*41592654 <br />� = 0.785398163 <br />4 <br />W = 0.523598776 <br />6 <br />1' 4 1.128379167 <br />V � <br />� = 0.523598776 <br />6 <br />Cox = 4.188790205 <br />3 <br />2407009S2 <br />ex ' = 9*869604401 <br />I = 0.101321184 <br />%� = 772453851 <br />1 <br />---- = 0.3183099 <br />Curvature of Earth's surface = about 0.7 feet iri 1 mile <br />Curvature in feet = 0.667 (Dist* in miles) � <br />` Difference between are and chord length, 0.05 feed in 11 V2 mites <br />single observation = 0-a f754��Pr�babl� error ofa gn�1 <br />Error in chaining of 0.01 fe-etin 100 feet: <br />� Due to <br />1. Length of tape error of 0.01 feet <br />2. Alignment. One end 1.4 feet out of line <br />3.. Sag of tape at centre of 0.61 feet.. <br />i. 4. Temperature difference of 150 <br />,5. Difference of pull of 15 lbs. <br />STADIA REDUCTION FOR).KULM <br />Horizontal Distance - R - R sing a -fi C cos a <br />Vertical Distance == R Y2 siv 2.a+C sin a <br />R = ReadinXdistance from 0bjo%3Xt glass to Cross hairs <br />� g . distance between crass hairs <br />4h <br />C = d�s�ance from Object glass to cross hairs + distance from Obje-ct <br />glass to center of instrument. <br />� 8 angle of elevation for mid Reading <br />