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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