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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 Iz- 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. Wit 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 />lenth divided by twice the. radius. <br />K , <br />N <br />r <br />I eA 6 a <br />iO Al <br />. TABLE II <br />TRIGONOMETRIC FOR1b UL R <br />r LA = LMOP LB = LYON = LOPL <br />j.R=OB=c=1 <br />sin A= a = 1 =a= cos B=LP <br />b b <br />oosA= = 1 =b= sin B=OL <br />tan A = a MQ b OM MQ = MQ = cot B = MQ <br />cot A = ON = MT = NT = tan B = NT <br />sec A'= OM = MQ = OQ csc B ='OQ <br />osc A = OT _ OT _ OT = sec B = OT <br />vers A = 0 = LM = covers B # <br />eovers A = OP — LP = OP — LP = vers B <br />OP <br />exsec A = PQ = coexsec B <br />coexsec A = PT = exsec B ' <br />sin 31 A= 1— Cos A cos MA 11 +Cos A <br />22 <br />` sin 2A =2 sin A cos A cos 2 A = ooO A —•Main' 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 Y2 (A+B) <br />a—b tan �J (A — B)' <br />FA <br />