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A One-Line Proof of Leversha's "Quartet of Isogonal Conjugates" Theorem

2021/04/28 by Shalosh B. Ekhad, Ekhad, Shalosh B.
Engineering · Mathematics · #Graph theory and applications #Mathematics and Applications #graph theory and CDMA systems #math.CO #math.HO

paper · pdf · doi:10.48550/arxiv.2105.01621

1 and a half pages. Exclusively published in the Personal Journal of Shalosh B. Ekhad and this arxiv

arxiv created 2021/04/28 · arxiv updated 2021/05/05

Abstract

We give a short and insightful proof of Gerry Leversha's elegant theorem regarding the isogonal conjugates of each of the vertices of a non-cyclic quadrilateral with respect to the triangle formed by the other three. It uses the Maple package RENE.txt, available from . http://www.math.rutgers.edu/~zeilberg/tokhniot/RENE.txt

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