Conics associated with triangles, or how Poncelet meets Morley

2014/10/16 by Kostiantyn Drach, Drach, Kostiantyn
Mathematics · #Mathematics and Applications #History and Theory of Mathematics #Advanced Mathematical Theories

paper · pdf · doi:10.48550/arxiv.1410.4574

Abstract

We present a criterion when six points chosen on the sides of a triangle belong to the same conic. Using this tool we show how the two geometrical gems - celebrated Poncelet's theorem of projective geometry and incredible Morley's theorem of Euclidean geometry - can meet in a one construction.

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