Rad HAZU, Matematičke znanosti, Vol. 22 (2018), 129-143.

KIEPERT HYPERBOLA IN AN ISOTROPIC PLANE

Vladimir Volenec, Zdenka Kolar-Begović and Ružica Kolar-Šuper

Department of Mathematics, University of Osijek, 31 000 Osijek, Croatia
e-mail: zkolar@mathos.hr

Faculty of Education, University of Osijek, 31 000 Osijek, Croatia
e-mail: rkolar@foozos.hr

Abstract.   The concept of the Kiepert hyperbola of an allowable triangle in an isotropic plane is introduced in this paper. Important properties of the Kiepert hyperbola will be investigated in the case of the standard triangle. The relationships between the introduced concepts and some well known elements of a triangle will also be studied.

2010 Mathematics Subject Classification.   51N25.

Key words and phrases.   Isotropic plane, Kiepert triangle, Kiepert hyperbola, standard triangle, Steiner ellipse.

DOI: https://doi.org/10.21857/mzvkptzrw9

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