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A projective analogue of Napoleon's and Varignon's theorems

2016/09/15 by Quang-Nhat Le, Le, Quang-Nhat
Computer Science · Engineering · Mathematics · #51M15 #51N15 #97G40 #97G80 #Advanced Numerical Analysis Techniques #FOS: Mathematics #History and Overview (math.HO) #Mathematics and Applications #Matrix Theory and Algorithms #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1609.04513

openalex publication_date 2016/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

What do Napoleon's and Varignon's theorems have in common? We claim that they both are examples of immediately regularizing natural polygon iterations in different planar geometries and present a new and analogous result in projective geometry.

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