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Desargues' Theorem

© Copyright 2001, Jim Loy

If the lines connecting corresponding vertices (A, B, and C correspond to A', B', and C' in the diagram) of two triangles meet in a point (O in the diagram), then the points of intersection (D, E, and F in the diagram) of the three sets of corresponding lines (for example, AB and A'B' correspond in the diagram) lie on a straight line. By the way, this line may be at infinity, if the corresponding lines are parallel.

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