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Pregled bibliografske jedinice broj: 1193850

Hamilton triangle of a triangle in the isotropic plane


Kolar-Begović, Zdenka; Volenec, Vladimir
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)


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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

Profili:

Avatar Url Vladimir Volenec (autor)

Avatar Url Zdenka Kolar-Begović (autor)

Poveznice na cjeloviti tekst rada:

doi akjournals.com doi.org

Citiraj ovu publikaciju:

Kolar-Begović, Zdenka; Volenec, Vladimir
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)
Kolar-Begović, Z. & Volenec, V. (2022) Hamilton triangle of a triangle in the isotropic plane. Mathematica Pannonica, 28 (1), 1-10 doi:10.1556/314.2022.00001.
@article{article, author = {Kolar-Begovi\'{c}, Zdenka and Volenec, Vladimir}, year = {2022}, pages = {1-10}, DOI = {10.1556/314.2022.00001}, keywords = {standard triangle, Hamilton triangle, isotropic plane}, journal = {Mathematica Pannonica}, doi = {10.1556/314.2022.00001}, volume = {28}, number = {1}, issn = {0865-2090}, title = {Hamilton triangle of a triangle in the isotropic plane}, keyword = {standard triangle, Hamilton triangle, isotropic plane} }
@article{article, author = {Kolar-Begovi\'{c}, Zdenka and Volenec, Vladimir}, year = {2022}, pages = {1-10}, DOI = {10.1556/314.2022.00001}, keywords = {standard triangle, Hamilton triangle, isotropic plane}, journal = {Mathematica Pannonica}, doi = {10.1556/314.2022.00001}, volume = {28}, number = {1}, issn = {0865-2090}, title = {Hamilton triangle of a triangle in the isotropic plane}, keyword = {standard triangle, Hamilton triangle, isotropic plane} }

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