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Pregled bibliografske jedinice broj: 504967

Kiepert triangles in an isotropic plane


Volenec, Vladimir; Kolar-Begović, Zdenka; Kolar-Šuper, Ružica
Kiepert triangles in an isotropic plane // Sarajevo journal of mathematics, 7 (2011), 19; 81-90 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 504967 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Kiepert triangles in an isotropic plane

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

Izvornik
Sarajevo journal of mathematics (1840-0655) 7 (2011), 19; 81-90

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
isotropic plane; Kiepert triangle

Sažetak
In this paper the concept of the Kiepert triangle of an allowable triangle in an isotropic plane is introduced. The relationships between the areas and the Brocard angles of the standard triangle and its Kiepert triangle are studied. It is also 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 are given.

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,
Fakultet za odgojne i obrazovne znanosti, Osijek


Citiraj ovu publikaciju:

Volenec, Vladimir; Kolar-Begović, Zdenka; Kolar-Šuper, Ružica
Kiepert triangles in an isotropic plane // Sarajevo journal of mathematics, 7 (2011), 19; 81-90 (podatak o recenziji nije dostupan, članak, znanstveni)
Volenec, V., Kolar-Begović, Z. & Kolar-Šuper, R. (2011) Kiepert triangles in an isotropic plane. Sarajevo journal of mathematics, 7 (19), 81-90.
@article{article, author = {Volenec, Vladimir and Kolar-Begovi\'{c}, Zdenka and Kolar-\v{S}uper, Ru\v{z}ica}, year = {2011}, pages = {81-90}, keywords = {isotropic plane, Kiepert triangle}, journal = {Sarajevo journal of mathematics}, volume = {7}, number = {19}, issn = {1840-0655}, title = {Kiepert triangles in an isotropic plane}, keyword = {isotropic plane, Kiepert triangle} }
@article{article, author = {Volenec, Vladimir and Kolar-Begovi\'{c}, Zdenka and Kolar-\v{S}uper, Ru\v{z}ica}, year = {2011}, pages = {81-90}, keywords = {isotropic plane, Kiepert triangle}, journal = {Sarajevo journal of mathematics}, volume = {7}, number = {19}, issn = {1840-0655}, title = {Kiepert triangles in an isotropic plane}, keyword = {isotropic plane, Kiepert triangle} }




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