Conics associated with triangles, or how Poncelet meets Morley
Metric Geometry
2014-10-20 v1
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.
Keywords
Cite
@article{arxiv.1410.4574,
title = {Conics associated with triangles, or how Poncelet meets Morley},
author = {Kostiantyn Drach},
journal= {arXiv preprint arXiv:1410.4574},
year = {2014}
}
Comments
4 figures