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Location of Incenters and Fermat Points in Variable Triangles - MaRDI portal

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Location of Incenters and Fermat Points in Variable Triangles

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Publication:2747354

DOI10.2307/2690626zbMATH Open1014.51009arXivmath/0002004OpenAlexW4233735208MaRDI QIDQ2747354

Author name not available (Why is that?)

Publication date: 17 July 2003

Published in: (Search for Journal in Brave)

Abstract: The orthocentroidal circle of a nonequilateral triangle has diameter GH, joining the centroid to the orthocenter. We show that the incenters of triangles with a given Euler line simply cover the interior of the orthocentroidal circle, and that their Fermat points also lie within this circle.


Full work available at URL: https://arxiv.org/abs/math/0002004



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