Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . Let AB and BC be the given lines; draw AE, making anyangle with AC; make AD = BC; join BD, and through Cdraw CE parallel to BD, meeting AD produced : then willAB:BC::BC:DE. (Fig. 103.) If BC be greater than AB, DE will be a third proportionalgreater; but if BC be less than AB, DE will be less IS. Fig. 104. GEOMETRICAL DRAWING. 131 No. 29,—To draw a circle of given radius which shall touchboth lines of a given angle. Let BAC be the given angle and ST the given radius; bisecta
Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . Let AB and BC be the given lines; draw AE, making anyangle with AC; make AD = BC; join BD, and through Cdraw CE parallel to BD, meeting AD produced : then willAB:BC::BC:DE. (Fig. 103.) If BC be greater than AB, DE will be a third proportionalgreater; but if BC be less than AB, DE will be less IS. Fig. 104. GEOMETRICAL DRAWING. 131 No. 29,—To draw a circle of given radius which shall touchboth lines of a given angle. Let BAC be the given angle and ST the given radius; bisectangle by line AF; erect on either line a perpendicular DEequal to ST; through E draw EG parallel to AD, and cuttingAF in G; then a circle drawn with centre G and radius equalto DE or ST, will touch the sides AB and AD. (Fig, 104.) iTo. SO.—To draw a circle of given radius which shall touchanother given circle and a given straight line.
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Keywords: ., bookcentury1800, booksubjectgeometricald, booksubjectperspective
