Pregled bibliografske jedinice broj: 504970
Thebault circles of the triangle in an isotropic plane
Thebault circles of the triangle in an isotropic plane // Abstracts of 2nd Croatian Conference on Geometry and Graphics / Tomislav Došlić, Marija Šimić (ur.).
Zagreb: Hrvatsko društvo za geometriju i grafiku, 2010. str. 23-23 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Thebault circles of the triangle in an isotropic plane
Autori
Kolar-Begović, Zdenka ; Kolar-Šuper, Ružica
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Abstracts of 2nd Croatian Conference on Geometry and Graphics
/ Tomislav Došlić, Marija Šimić - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2010, 23-23
Skup
2nd Croatian Conference on Geometry and Graphics
Mjesto i datum
Šibenik, Hrvatska, 05.09.2010. - 09.09.2010
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
isotropic plane; Thebault circles
Sažetak
In Euclidean geometry V. Th\'{;e};bault considered the existence of the circles which touch the circumscribed circle of a triangle at its vertices as well as the Euler circle of that triangle. The analogous problem can be studied in the isotropic plane. We are going to prove that there are three circles which touch the circumscribed circle of an allowable triangle at its vertices as well as the Euler circle of that triangle in an isotropic plane. Some statements about relationships between these three circles and some other geometric concepts about triangle will be investigated in an isotropic plane. Formulae for the radii of these circles will also be given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Volenec, Vladimir, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku,
Fakultet za odgojne i obrazovne znanosti, Osijek