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DIRECTIONS FOR USE OF TABLES <br />TABLE No. 1. <br />Distance of slope stake from side or shoulder <br />stake for any width roadway, slope 1 r 2 to 1. <br />If ground is nearly level, the cut or fill at side <br />stake is located by the double entry method in <br />left column and top row. The number in body <br />of table in same row and column gives distance <br />from side stake to slope stake. If ground is not <br />level estimate the difference in elevation between <br />the side stake and slope stake, lower target by this <br />amount if cut, elevate if fill. Add this amount <br />to cut or fill and find distance in table. Set up <br />rod at this point, and line of sight should cut <br />target. If it does not make the slight adjustment <br />necessary. <br />TABLE No. 9. <br />To find Tangent and External for curve of <br />any other degree, divide by degree of curve and <br />add correction found in column of corrections. <br />Degree of curve with a given I may be found <br />by dividing tangent, (or external), opposite I by <br />given tangent, (or external). <br />The distance from a point on the tangent to <br />the curve is very nearly the square of the tangent <br />length divided by twice the radius. <br />TABLE II <br />TRIGONOMETRIC FORMULIE. <br />L A= L MOP L B= L PON = L OPL <br />R=OB=c=1 <br />sin A= c=i=a=cosB=LP <br />b <br />b <br />cos A= = <br />=b= sin B=OL <br />e <br />1 <br />a <br />tan A = <br />MQ = MQ = MQ = cot B = MQ <br />b <br />OM <br />NT <br />NT <br />cot A= <br />=NT= tan B=NT <br />ON= <br />1 <br />Q <br />sec A= oM = <br />=OQ=cscB=OCR <br />OT <br />OT <br />_ <br />escA= ON <br />1=OT= see B=OT <br />LMOP <br />vers A = <br />= LM = covers B �$ <br />OP <br />P—LPOP <br />—LP <br />covers A = = OP — LP = vera B <br />OP <br />exsec A = PQ = coexsee B <br />coexsee A = PT <br />= exsee B <br />sin Y2 A = I <br />—Cos A cos Y2 A = 1 +Cos .* <br />2 <br />2 <br />sin 2A = 2 sin A coF 6 cos 2 A = cos' A — sin' A <br />sin a _ sin B _ sin C, <br />Law of Sines a B C <br />Law of Cosines c' = a'+ 0 — 2 ab cos C <br />Law of Tangents a+b _ tan 1/ (A+B) <br />a—b tan j (A — B) <br />