Original scientific paper

https://doi.org/10.31896/k.22.2

Jeřabek Hyperbola of a Triangle in an Isotropic Plane

Zdenka Kolar-Begović orcid.org/0000-0001-8710-8628 ; Department of Mathematics, University of Osijek, Osijek, Croatia
Ružica Kolar-Šuper orcid.org/0000-0002-8945-2745 ; Faculty of Educationa, University of Osijek, Osijek, Croatia
Vladimir Volenec ; Faculty of Science, University of Zagreb, Zagreb, Croatia

Abstract

In this paper, we examine the Jeřabek hyperbola of an allowable triangle in an isotropic plane. We investigate different ways of generating this special hyperbola and derive its equation in the case of a standard triangle in an
isotropic plane. We prove that some remarkable points of a triangle in an isotropic plane lie on that hyperbola whose centre is at the Feuerbach point of a triangle. We also explore other interesting properties of this hyperbola
and its connection with some other signicant elements of a triangle in an isotropic plane.

Keywords

allowable triangle; standard triangle; Jeřabek hyperbola

Hrčak ID:

214641

URI

https://hrcak.srce.hr/214641

Publication date:

3.1.2019.

Article data in other languages: croatian

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