Conics Inscribed in a Standard Triangle in the Isotropic Plane

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Authors: Vladimír Volenec, Ružica Kolar-Šuper
Cited by: 0

Abstract

In this paper, we study conics inscribed in a standard triangle in the isotropic plane. Our research gives the conditions under which the inscribed conic is an ellipse, a parabola, or a hyperbola, expressed through the elements of a standard triangle. We also determine and analyze the loci of centers of certain conics, leading to the discovery of interesting new and previously unknown results on inscribed conics of a standard triangle in the isotropic plane. We further explore the analogies between these findings and those in the Euclidean plane.

Fields of Study & Subjects

Mathematics and Applications Advanced Differential Geometry Research Advanced Combinatorial Mathematics

Publication details

Journal / source
Mathematics
Volume
14
Issue
5
Pages
779–779
Publication date
25 February 2026
Language
EN