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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 534=22, 2018.

Original scientific paper

https://doi.org/10.21857/mzvkptzrw9

Kiepert hyperbola of a triangle in an isotropic plane

Vladimir Volenec ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Zdenka Kolar-Begović orcid id orcid.org/0000-0001-8710-8628 ; Department of Mathematics, University of Osijek, 31 000 Osijek, Croatia
Ružica Kolar-Šuper orcid id orcid.org/0000-0002-8945-2745 ; Faculty of Education, University of Osijek, 31 000 Osijek, Croatia

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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.

Keywords

Isotropic plane; Kiepert triangle; Kiepert hyperbola; standard triangle; Steiner ellipse

Hrčak ID:

206200

URI

https://hrcak.srce.hr/206200

Publication date:

28.9.2018.

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