Extreme Points on Circumconics Induced by Isogonal Conjugates in a Triangle
Metric Geometry
2019-12-19 v1
Abstract
We first introduce a configuration of arbitrary isogonal conjugates related to a known property concerning the spiral center of two pairs of isogonal conjugates. We then consider a special case where two conics are tangent at exactly two points. Finally, we apply the discoveries made in both configurations to state a general result concerning the extreme points (those lying on either the major or minor axis) of certain circumconics of a triangle.
Cite
@article{arxiv.1912.08330,
title = {Extreme Points on Circumconics Induced by Isogonal Conjugates in a Triangle},
author = {Daniel Hu},
journal= {arXiv preprint arXiv:1912.08330},
year = {2019}
}
Comments
12 pages, 12 figures