The Mixed Poncelet-Steiner Closure Theorem

2013/10/10 by Nikolai Beluhov, Beluhov, Nikolai
Mathematics · #51M04 (Primary) #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.MG #msc:51M04

paper · pdf · doi:10.48550/arxiv.1310.2760

8 pages, 3 figures; corrected two typos

openalex publication_date 2013/10/10 · arxiv created 2013/10/13 · arxiv updated 2013/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We state and prove a new closure theorem closely related to the classical closure theorems of Poncelet and Steiner. Along the way, we establish a number of theorems concerning conic sections.

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