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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 />Ienth divided by twice the radius. <br />5% <br />A <br />O L Al \ <br />TABU II <br />f <br />TRIGONOMETRIC FORMUI-R <br />L A— -/MOP L B= L PON = L OPL <br />R=OB=c=1 <br />a <br />r <br />sin A= a a = 1 =a= Cos B=LP <br />cos A= o = i=b=sinB=OL 17i`6® <br />tan :A — b 6M = MQ = MQ = cot B = MQ � 3 <br />NT NT _ _ <br />i cot A = ON 1 — NT — tan B - NT <br />am A — OM = OQ = OQ = csc B = OQ <br />csc A = ON = OT — OT = sec B = OT <br />LM <br />vera A = OP = LM = covers B # <br />covers A = OP—LP OP = OP — LP =vera B <br />exsec A = PQ = coexsec B <br />coexsec A = PT =. exsec B <br />11— Cos A j 1 +Cos A <br />sin 3/ A = 2 cos A = 2 <br />sin 2A = 2 sin A cos A ' cos 2 A = cos' A — sin' A <br />Law of Lines sin A = sin B _ sin 0 <br />a B C <br />Law of Cosines c' = a'+b' — 2 ab cos C <br />Law of Tangents a+b_ tan y5 (A+B) <br />e�b tan 3a (A — B) <br />