Location of incenters and Fermat points in variable triangles
Metric Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/0002004,
title = {Location of incenters and Fermat points in variable triangles},
author = {Anthony Varilly},
journal= {arXiv preprint arXiv:math/0002004},
year = {2007}
}
Comments
7 pages, Latex2e, 4 figures