Original scientific paper

https://doi.org/10.31896/k.26.2

Triads of Conics Associated with a Triangle

Ronaldo Garcia orcid.org/0000-0001-8876-6956 ; Institute of Mathematics and Statistics of the Federal University of Goiás, Goiás, Brazil
Liliana G. Gheorghe orcid.org/0000-0003-3922-0177 ; Federal University of Pernambuco, Pernambuco, Brazil
Peter Moses ; Moparmatic Inc., Worcestershire, England
Dan Reznik orcid.org/0000-0002-0542-6014 ; Data Science Consulting, Rio De Janeiro, Brazil

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.

Keywords

triangle; conic; Carnot; Soddy circles

Hrčak ID:

288129

URI

https://hrcak.srce.hr/288129

Publication date:

28.12.2022.

Article data in other languages: croatian

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