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arXiv · 2409.19464

Harmonious loci of Poncelet triangles about the incircle and their degeneracies

Mark Helman·Ronaldo A. Garcia·Dan Reznik
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Abstract

We tour several Euclidean properties of Poncelet triangles inscribed in an ellipse and circumscribing the incircle, including loci of triangle centers and envelopes of key objects. We also show that a number of degenerate behaviors are triggered by the presence of an equilateral triangle in the family.

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Mark Helman, Ronaldo A. Garcia, Dan Reznik. 2024-09-28. Harmonious loci of Poncelet triangles about the incircle and their degeneracies. https://arxiv.org/abs/2409.19464

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