四边形台球回路

IF 0.4 4区数学 Q4 MATHEMATICS

American Mathematical Monthly Pub Date : 2023-08-02 DOI:10.1080/00029890.2023.2230860

K. Knox

引用次数: 0

摘要

摘要一个四边形包含一个闭合的台球回路，该回路在其侧面的内部连续反弹，每个循环恰好反弹一次，当且仅当它是循环的，并且其内部包含其外切圆的中心。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Billiard Circuits in Quadrilaterals

Abstract A quadrilateral contains a closed billiard circuit that bounces consecutively on the interiors of its sides each exactly once per cycle, if and only if it is cyclic and its interior contains the center of its circumscribed circle.

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来源期刊

American Mathematical Monthly Mathematics-General Mathematics

CiteScore

0.80

自引率

20.00%

发文量

127

审稿时长

6-12 weeks

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