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7 ,� r a•I H <br /> DIRECTIONS FOR USE OF TABLES <br /> 341 7 7 f,r 76 7 s Z <br /> TABLE No. 1. 7 <br /> G .1 f 1 !x44./.. 0 t M f S ) <br /> Distance of slope stake from side or shoulder <br /> stake for.any width roadway, slope 1 Y2 to 1. TABLE II <br /> If ground is nearly level, TRIGONOMETRIC FORMULA: <br /> $r y the Cut Or fill at side �A— �MOP -/B= L PON= L OPL <br /> stake is located by the double entry method mi R=OB=o= i � a <br /> left column and top row. The number in body sinA=o=i=a=cw B=LP <br /> of table in same row and column gives distance f y <br /> from side stake to slope stake. If ground is not oom A=a= =b=sin B=OL <br /> �. <br /> level estimate the difference in elevation between a MQ M@ <br /> tan A=b= OM= 1 =MQ_oot B—MQ <br /> the side stake and slope stake,lower target by this � it k,}.fa <br /> amount if cut, elevate if fill. Add this amount cot A= NT <br /> .= NT =NT=tan B=NT <br /> to cut or fill and find distance in table. Set up ►d <br /> rod at this point, and line of sight should cut °B0 A= = o@ =oQ=osc B=OQ <br /> target. If it does not make the slight adjustment coo A— oT = oT —oT=we B=OT <br /> necessary. OH i <br /> vers A= OP =LM—covers B# <br /> TABLE No. 9. <br /> OP—LP LP 7 <br /> To find Tangent and External for curve of oovera A= OP =OP—LP=vers B <br /> any other degree, divide by degree of curve and exwe A=PQ=ooexm B <br /> add correction found in column of corrections. coexeeo A=PT=exwo B <br /> 1—Cos A 1+Cos A <br /> Degree of curve with a given I may be found sin A= 2 COs %A= 2 <br /> by dividing tangent, (or external), opposite I by sin 2A—2 min A oos A oos 2 A a ws'A—sin'A <br /> given tangent, (or external). Law of Linea sin <br /> A = sin B = sinC 0 <br /> The distance from a point on the tangent to Law of Cosines e'—s'+b'—2 ab oos C <br /> the curve is very,nearly the square of the tangent Law of Tangents a+b — tan (A+B) <br /> a—b tan (A—B) <br /> Tenth divided by twice the radius. <br /> t <br /> v • <br />