From electrostatic potentials to yet another triangle center
Mathematical Physics
2020-07-30 v3 Classical Analysis and ODEs
Metric Geometry
math.MP
Abstract
We study the problem of finding a point of maximal electrostatic potential inside an arbitrary triangle with homogeneous surface charge distribution. In this article we derive several synthetic and analytic relations for its location in the plane. Moreover, this point satisfies the definition of a triangle center, different from any of previously discovered centers in Clark Kimberling's encyclopedia. Writing style is slightly informal as the paper is targeted to a wide audience.
Cite
@article{arxiv.1312.3176,
title = {From electrostatic potentials to yet another triangle center},
author = {Hrvoje Abraham and Vjekoslav Kovač},
journal= {arXiv preprint arXiv:1312.3176},
year = {2020}
}
Comments
15 pages, 7 figures. v2: references added. v3: slightly shortened, published version