An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 120
e sides pass through three fixed points, which are coUinear ; find the locusof the third vertex. Ex. 9. Inscribe a triangle in a given triangle, so that its three sides maypass through three given points which are coUinear. TRIANGLES IN PERSPECTIVE. 103 166. If ABC, AffG be two triangles in… … Let XYZ be the axis of perspective of the given trianglesABG, ABC. Since the given triangles are in perspective, A A, BR, CG areconcurrent. Hence the triangles ABG, ABG are in perspective ;and therefore the lines BG, UA, AB will intei-sect BG, GA, ABrespectively in coUinear points (§ 161); that is,…
Geometry
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