An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 117
rspective when the linesconnecting the vertices of one triangle to the corresponding verticesof the other triangle are concurrent. If ABC, ABC be two triangles in perspective, such that thelines AA, BE, GC meet in the point 0, the vertices A and A arecalled corresponding vertices, and the sides BC,… … TRIANGLES IN PERSPECTIVE. 101 Let ABC, ABC be two triangles in perspective, so that AA,BE, CC intersect in the point 0. Let BG and BC intersect in X; CA, CA in Y; and AB,AB in Z. Then X, Y, Z will be collinear. Since BQX is a transversal of the triangle GBO, we have by§104, BX CG^ OB ^GXOG BB~…
Geometry
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