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Reversion Porisms in Conics

2021/08/04 by Lorenz Halbeısen, Halbeisen, Lorenz, Norbert Hungerbühler +3
Engineering · Mathematics · #51M15 #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Point processes and geometric inequalities #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2108.07213

openalex publication_date 2021/08/04 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28

Abstract

We give a projective proof of the butterfly porism for cyclic quadrilaterals and present a general reversion porism for polygons with an arbitrary number of vertices on a conic. We also investigate projective properties of the porisms.

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