Pregled bibliografske jedinice broj: 546359
Kiepert triangles in an isotropic plane
Kiepert triangles in an isotropic plane // Conference on Geometry-Theory and Applications, Abstracts / Juttler, B ; Roschel, O. (ur.).
Vorau, Austrija, 2011. str. 14-15 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 546359 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Kiepert triangles in an isotropic plane
Autori
Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Conference on Geometry-Theory and Applications, Abstracts
/ Juttler, B ; Roschel, O. - , 2011, 14-15
Skup
Conference on Geometry-Theory and Applications
Mjesto i datum
Vorau, Austrija, 20.06.2011. - 24.06.2011
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
isotropic plane; standard triangle; Kiepert triangle
Sažetak
In this lecture the concept of the Kiepert triangle of an allowable triangle in an isotropic plane will be studied. We are going to investigate the relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle. It will also be proved that an allowable triangle and any of its Kiepert triangles are homologic. In the case of a standard triangle the expressions for the center and the axis of this homology will be given. A number of statements concerning the triangle and its Kiepert triangles are also going to be proved.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Volenec, Vladimir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku