Pregled bibliografske jedinice broj: 1191521
On Some Properties of the First Brocard Triangle in the Isotropic Plane
On Some Properties of the First Brocard Triangle in the Isotropic Plane // Mathematics, 10 (2022), 9; 1381, 13 doi:10.3390/math10091381 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1191521 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Some Properties of the First Brocard Triangle in
the Isotropic Plane
Autori
Volenec, Vladimir ; Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica
Izvornik
Mathematics (2227-7390) 10
(2022), 9;
1381, 13
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
isotropic plane ; first Brocard triangle ; Brocard circle ; parallelogy
Sažetak
In this paper we introduce the first Brocard triangle of an allowable triangle in the isotropic plane and derive the coordinates of its vertices in the case of a standard triangle. We prove that the first Brocard triangle is homologous to the given triangle and that these two triangles are parallelogic. We consider the relationships between the first Brocard triangle and the Steiner axis, the Steiner point, and the Kiepert parabola of the triangle. We also investigate some other interesting properties of this triangle and consider relationships between the Euclidean and the isotropic case.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku,
Fakultet za odgojne i obrazovne znanosti, Osijek
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- DOAJ
- EBSCO
