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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 Y, 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. Setup <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 />tenth divided by twice the radius. <br />N r <br />12 <br />4 .. <br />W.,W <br />TABLE II <br />TRIGONOMETRIC FORMULIE. <br />L A= L MOP -/B = L PON = L OPL <br />R=OB=c=1 <br />sinA= = 1=a=coaB=LP <br />cosA= b=b= sin B=OL <br />tan A = a = MQ -6—M= 1 MQ <br />b = MQ = cot B = MQ <br />k,:: cot A= ON = =NT= tan B=NT <br />J <br />Pee A= OQ = OQ =OQ=escB —OQ <br />.OM 1 <br />eseA= 6N— — OT=OT= see B=OT <br />LM <br />vers A = OP = LM = covers B # <br />OP — LP = OP — LP = vers B <br />covers A = OP <br />exsec A = PQ = coexsec B <br />coexsec A = PT = exseo B <br />�\ <br />sin M A= 1— Cos A cos A= l 1 +Cos A <br />2 � 2 <br />sin 2A — 2 sin A cos A cos 2 A = eW &— sin' A <br />Law of Lines sin A _ sin B _ sin C' <br />a B C <br />Law of Cosines c' = a'+b' — 2 ab cos C <br />Law of Tangents a+b _ tan (A+B) <br />a—b tan 3/ (A — B) <br />0 <br />