Location of incenters and Fermat points in variable triangles
Abstract
Description
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.
7 pages, Latex2e, 4 figures
7 pages, Latex2e, 4 figures