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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 121

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 121
we may show that CA intei-sects GA in Y, and thatAB intei-sects AB in Z. Therefore the triangle ABG is in perspective with each ofthe given triangles, and the three triangles have a common axis ofperspective. 167. If abc, abc be any two triangles in perspective, the linesjoining the points be, ca,… … o~------ Let 0 be the centre of perspective of the given triangles, thenthe lines joining the points he, ca, ab to the points bc, ca, aVintersect in 0. Let a denote the line joining the points he, hc; b the linejoining the points ca, ca; and c the line joining the pointsab, ab. Since the triangles…

Geometry

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