A Theorem about Simultaneous Orthological and Homological Triangles

Ion Patrascu; Florentin Smarandache

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arXiv · 1004.0347

A Theorem about Simultaneous Orthological and Homological Triangles

Ion Patrascu·Florentin Smarandache

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Abstract

In this paper we prove that if $P_1, P_2$ are isogonal points in the triangle $ABC$, and if $A_1B_1C_1$ and $A_2B_2C_2$ are their corresponding pedal triangles such that the triangles $ABC$ and $A_1B_1C_1$ are homological (the lines $AA_1, BB_1, CC_1$ are concurrent), then the triangles $ABC$ and $A_2B_2C_2$ are also homological.

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BibTeX RIS

Ion Patrascu, Florentin Smarandache. 2010-04-02. A Theorem about Simultaneous Orthological and Homological Triangles. https://arxiv.org/abs/1004.0347

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