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

Jeřabek Hyperbola of a Triangle in an Isotropic Plane

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

Puni tekst: engleski, pdf (346 KB) str. 12-19 preuzimanja: 200* citiraj
APA 6th Edition
Kolar-Begović, Z., Kolar-Šuper, R. i Volenec, V. (2018). Jeřabek Hyperbola of a Triangle in an Isotropic Plane . KoG, 22 (22), 12-19. https://doi.org/10.31896/k.22.2
MLA 8th Edition
Kolar-Begović, Zdenka, et al. "Jeřabek Hyperbola of a Triangle in an Isotropic Plane ." KoG, vol. 22, br. 22, 2018, str. 12-19. https://doi.org/10.31896/k.22.2. Citirano 22.10.2021.
Chicago 17th Edition
Kolar-Begović, Zdenka, Ružica Kolar-Šuper i Vladimir Volenec. "Jeřabek Hyperbola of a Triangle in an Isotropic Plane ." KoG 22, br. 22 (2018): 12-19. https://doi.org/10.31896/k.22.2
Harvard
Kolar-Begović, Z., Kolar-Šuper, R., i Volenec, V. (2018). 'Jeřabek Hyperbola of a Triangle in an Isotropic Plane ', KoG, 22(22), str. 12-19. https://doi.org/10.31896/k.22.2
Vancouver
Kolar-Begović Z, Kolar-Šuper R, Volenec V. Jeřabek Hyperbola of a Triangle in an Isotropic Plane . KoG [Internet]. 2018 [pristupljeno 22.10.2021.];22(22):12-19. https://doi.org/10.31896/k.22.2
IEEE
Z. Kolar-Begović, R. Kolar-Šuper i V. Volenec, "Jeřabek Hyperbola of a Triangle in an Isotropic Plane ", KoG, vol.22, br. 22, str. 12-19, 2018. [Online]. https://doi.org/10.31896/k.22.2

Sažetak
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 signi cant elements of a triangle in an isotropic plane.

Ključne riječi
allowable triangle; standard triangle; Jeřabek hyperbola

Hrčak ID: 214641

URI
https://hrcak.srce.hr/214641

[hrvatski]

Posjeta: 516 *