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Pregled bibliografske jedinice broj: 504970

Thebault circles of the triangle in an isotropic plane


Kolar-Begović, Zdenka; Kolar-Šuper, Ružica
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


Citiraj ovu publikaciju:

Kolar-Begović, Zdenka; Kolar-Šuper, Ružica
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)
Kolar-Begović, Z. & Kolar-Šuper, R. (2010) Thebault circles of the triangle in an isotropic plane. U: Tomislav Došlić, M. (ur.)Abstracts of 2nd Croatian Conference on Geometry and Graphics.
@article{article, author = {Kolar-Begovi\'{c}, Zdenka and Kolar-\v{S}uper, Ru\v{z}ica}, editor = {Tomislav Do\v{s}li\'{c}, M.}, year = {2010}, pages = {23-23}, keywords = {isotropic plane, Thebault circles}, title = {Thebault circles of the triangle in an isotropic plane}, keyword = {isotropic plane, Thebault circles}, publisher = {Hrvatsko dru\v{s}tvo za geometriju i grafiku}, publisherplace = {\v{S}ibenik, Hrvatska} }
@article{article, author = {Kolar-Begovi\'{c}, Zdenka and Kolar-\v{S}uper, Ru\v{z}ica}, editor = {Tomislav Do\v{s}li\'{c}, M.}, year = {2010}, pages = {23-23}, keywords = {isotropic plane, Thebault circles}, title = {Thebault circles of the triangle in an isotropic plane}, keyword = {isotropic plane, Thebault circles}, publisher = {Hrvatsko dru\v{s}tvo za geometriju i grafiku}, publisherplace = {\v{S}ibenik, Hrvatska} }




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