A Theorem about Simultaneous Orthological and Homological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache

In this paper we prove that if P1,P2 are isogonal points in the triangle ABC , and if A1B1C1 and A2B2C2 are their ponder triangle such that the triangles ABC and A1B1C1 are homological (the lines AA1 , BB1 , CC1 are concurrent), then the triangles ABC and A2B2C2 are also homological.

Comments: 13 pages.

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Submission history

[v1] 13 Mar 2010

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