Location of incenters and Fermat points in variable triangles

Anthony Varilly

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Location of incenters and Fermat points in variable triangles

Anthony Varilly

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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.

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BibTeX RIS

Anthony Varilly. 2001-12-19. Location of incenters and Fermat points in variable triangles. https://arxiv.org/abs/math/0002004

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