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arXiv · 1912.08330

Extreme Points on Circumconics Induced by Isogonal Conjugates in a Triangle

Daniel Hu
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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.

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Daniel Hu. 2019-12-18. Extreme Points on Circumconics Induced by Isogonal Conjugates in a Triangle. https://arxiv.org/abs/1912.08330

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