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j1 <br /> DIRECTIONS FOR USE OF TABLES ,+ a t 2 <br /> z <br /> TABLE No. 1. _ - L� A <br /> Distance of slope stake from side or shoulder <br /> stake for any width roadway, slope 1 Y, to 1, TwBLn II { f <br /> If ground is nearly level,,the cut or fill at side ` TcoxoMEre <br /> A= — = <br /> L MOP _ � <br /> L 1"B'-L�N OPL � ��U-, <br /> L _ <br /> stake is located by the double entry method in G i Ji OB=c= t <br /> left column and to row. The number in body - a �' <br /> P Y ei7A= b 1=a=coo B=LP <br /> of table in same row and column gives distance �� y <br /> from side stake to slope stake. If ground is not cos A=b= b =b=sin B=OL <br /> level estimate the difference in elevation between a MQ MQ <br /> the side stake and slope stake,low __er target by this tan A b _— OM = i =MQ=oot B=MQ <br /> amount if cut, elevate if fill. Add this amount cot A=o= =NT=tan B=NT <br /> to cut or fill and find distance in table. Set up OQ OQ <br /> .rod at this point, and line of sight should cut s�A= ON=iOT OT <br /> =oQ=tree B=OQ <br /> target. If it does not make the slight adjustment $ . °BCA=o= =OT=see B=oT <br /> necessary. LM <br /> vers A= OP =LM=covers B# <br /> TABLE No. 9. OP—LP <br /> vers B= = <br /> To find Tangent and External for curve of covers A— OP OP—LP _ <br /> any other degree, divide by degree of curve and coeec e =PQ=coexsec B <br /> ezeec A=PT=eases B <br /> add correction found in column of corrections. <br /> sin Y2 A= 1—Cos A cos A_ 1+Coe A <br /> Degree of curve with a given I may be found 2 2 <br /> by dividing tangent, (or external), opposite I by sin 2A—2 sin A cos A cos 2A=ws1 A—dn*A <br /> given tangent, (or external). Law of Lines ein A _ sin B sin 0 <br /> a B C <br /> The distance from a point on the tangent to Law of Cosines e'=a'+b'—2 ab oos C <br /> _ <br /> the curve is very nearly the square of the tangent Law of Tangents s+b tan M(A+B)a—b tan (A—B) <br /> lenth divided by twice the radius. <br />