Pregled bibliografske jedinice broj: 1193850
Hamilton triangle of a triangle in the isotropic plane
Hamilton triangle of a triangle in the isotropic plane // Mathematica Pannonica, 28 (2022), 1; 1-10 doi:10.1556/314.2022.00001 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1193850 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hamilton triangle of a triangle in the isotropic
plane
Autori
Kolar-Begović, Zdenka ; Volenec, Vladimir
Izvornik
Mathematica Pannonica (0865-2090) 28
(2022), 1;
1-10
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
standard triangle, Hamilton triangle, isotropic plane
Sažetak
In this paper we introduce the concept of the Hamilton triangle of a given triangle in an isotropic plane and investigate a number of important properties of this concept. We prove that the Hamilton triangle is homological with the observed triangle and with its contact and complementary triangles. We also consider some interesting statements about the relationships between the Hamilton triangle and some other signicant elements of the triangle, like e.g. the Euler and the Feuerbach line, the Steiner ellipse and the tangential triangle.
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