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Triads of Conics Associated with a Triangle

2021/12/30 by Ronaldo Garcia, Liliana Gheorghe, Garcia, Ronaldo +5
Engineering · Mathematics · #51M04 and 51N20 and 51N35 and 68T20 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications #Metric Geometry (math.MG) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2112.15232

openalex publication_date 2021/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We revisit constructions based on triads of conics with foci at pairs of vertices of a reference triangle. We find that their 6 vertices lie on well-known conics, whose type we analyze. We give conditions for these to be circles and/or degenerate. In the latter case, we study the locus of their center.

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