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When Euler (circle) meets Poncelet (Porism)

2020/11/03 by Liliana Gabriela Gheorghe, Gheorghe, Liliana Gabriela
Engineering · Mathematics · #Advanced Materials and Mechanics #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.2011.01988

openalex publication_date 2020/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe all triangles that shares the same circumcircle and Euler circle. Although this two circles do not form a poristic pair of circles, we find a poristic circle "in-between" that enable to solve this problem using Poncelet porism.

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