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Circum- and Inconic Invariants of 3-Periodics in the Elliptic Billiard
arXiv - CS - Robotics Pub Date : 2020-04-06 , DOI: arxiv-2004.02680
Dan Reznik and Ronaldo Garcia

A Circumconic passes through a triangle's vertices; an Inconic is tangent to the sidelines. We study the variable geometry of certain conics derived from the 1d family of 3-periodics in the Elliptic Billiard. Some display intriguing invariances such as aspect ratio and pairwise ratio of focal lengths.

中文翻译:

椭圆台球中 3 周期的圆周不变量和非圆锥不变量

Circumconic 通过三角形的顶点;Inconic 与边线相切。我们研究了从椭圆台球中 3 周期的 1d 族导出的某些圆锥曲线的可变几何形状。一些显示有趣的不变性,例如焦距的纵横比和成对比率。
更新日期:2020-04-16
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