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Jeřabek Hyperbola of a Triangle in an Isotropic Plane (CROSBI ID 260872)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kolar-Begović, Zdenka ; Volenec, Vladimir ; Kolar- Šuper, Ružica Jeřabek Hyperbola of a Triangle in an Isotropic Plane // KoG : znanstveno-stručni časopis Hrvatskog društva za konstruktivnu geometriju i kompjutorsku grafiku, 22 (2018), 22; 12-19. doi: 10.31896/k.22.2

Podaci o odgovornosti

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

engleski

Jeřabek Hyperbola of a Triangle in an Isotropic Plane

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 significant elements of a triangle in an isotropic plane.

allowable triangle, standard triangle, Jeřabek hyperbola

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Podaci o izdanju

22 (22)

2018.

12-19

objavljeno

1331-1611

1846-4068

10.31896/k.22.2

Povezanost rada

Matematika

Poveznice