Authors:
Zdenka Kolar-Begović Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, Osijek, Croatia
Faculty of Education, University of Osijek, Cara Hadrijana 10, Osijek, Croatia

Search for other papers by Zdenka Kolar-Begović in
Current site
Google Scholar
PubMed
Close
and
Vladimir Volenec Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, Osijek, Croatia
Faculty of Education, University of Osijek, Cara Hadrijana 10, Osijek, Croatia
Department of Mathematics, University of Zagreb, Bijenićka cesta 30, Zagreb, Croatia

Search for other papers by Vladimir Volenec in
Current site
Google Scholar
PubMed
Close
Open access

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 significant elements of the triangle, like e.g. the Euler and the Feuerbach line, the Steiner ellipse and the tangential triangle.

  • [1]

    Beban-Brkić, J., Kolar-Šuper, R., Kolar-Begović, Z., and Volenec, V. On Feuerbach’s theorem and a pencil of circles in the isotropic plane. Journal for Geometry and Graphics 10, 2 (2006), 125132.

    • Search Google Scholar
    • Export Citation
  • [2]

    Beban-Brkić, J., Kolar-Šuper, R., Kolar-Begović, Z., and Volenec, V. Gergonne’s point of a triangle in I2. Rad Hrvat. Akad. Znan. Umjet. 515, 2 (2013), 95106.

    • Search Google Scholar
    • Export Citation
  • [3]

    Fontene, G. Correspondance. Nouv. Ann. Math. 3, 4 (1903), 183184.

  • [4]

    Guba, V. S. Zadaća no. 2049. Matematika v škole 4, (1979), 69.

  • [5]

    Kolar-Begović, Z., Kolar-Šuper, R., Beban-Brkić, J., and Volenec, V. Symmedians and the symmedian center of the triangle in an isotropic plane. Mathematica Pannonica 17, 2 (2006), 287301.

    • Search Google Scholar
    • Export Citation
  • [6]

    Kolar-Šuper, R., Kolar-Begović, Z., Volenec, V., and Beban-Brkić, J. Metrical relationships in a standard triangle in an isotropic plane. Mathematical Communications 10, 2 (2005), 149157.

    • Search Google Scholar
    • Export Citation
  • [7]

    Kolar-Šuper, R., Kolar-Begović, Z., Volenec, V., and Beban-Brkić, J. Isogonality and inversion in an isotropic plane. International Journal of Pure and Applied Mathematics 44, 2 (2008), 339346.

    • Search Google Scholar
    • Export Citation
  • [8]

    Pelletier, A. Problem 3440. Amer. Math. Monthly 38, (1932).

  • [9]

    Sachs, H. Ebene isotrope Geometrie. Vieweg–Verlag, Braunschweig/Wiesbaden, 1987.

  • [10]

    Thebault, V. Question 1963. Mathesis 14, 4 (1914), 88.

  • [11]

    Thebault, V. Contributions a la géométrie du triangle. Mathesis 46, (1932), suppl. 15.

  • [12]

    Volenec, V., Kolar-Begović, Z., and Kolar-Šuper, R. Steiner’s ellipses of the triangle in an isotropic plane. Mathematica Pannonica 21, 2 (2010), 229238.

    • Search Google Scholar
    • Export Citation
  • Collapse
  • Expand
  • Top
The Instruction for Authors is available in PDF format. Please, download the file from HERE.
Please, download the LaTeX template from HERE.

Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém)
  • János PINTZ (Rényi Institute of Mathematics)
  • Ferenc SCHIPP (Eötvös University Budapest and University of Pécs)
  • Sándor SZABÓ (University of Pécs)
     

Deputy Editors in Chief:

  • Erhard AICHINGER (JKU Linz)
  • Ferenc HARTUNG (University of Pannonia, Veszprém)
  • Ferenc WEISZ (Eötvös University, Budapest)

Editorial Board

  • György DÓSA (University of Pannonia, Veszprém)
  • István BERKES (Rényi Institute of Mathematics)
  • Károly BEZDEK (University of Calgary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs)
  • Vedran KRCADINAC (University of Zagreb) 
  • Željka MILIN ŠIPUŠ (University of Zagreb)
  • Margit PAP (University of Pécs)
  • Mihály PITUK (University of Pannonia, Veszprém)
  • Jörg THUSWALDNER (Montanuniversität Leoben)
  • Zsolt TUZA (University of Pannonia, Veszprém)

Advisory Board

  • Szilárd RÉVÉSZ (Rényi Institute of Mathematics)  - Chair
  • Gabriella BÖHM (Akadémiai Kiadó, Budapest)
  • György GÁT (University of Debrecen)

University of Pécs,
Faculty of Sciences,
Institute of Mathematics and Informatics
Department of Mathematics
7624 Pécs, Ifjúság útja 6., HUNGARY
(36) 72-503-600 / 4179
ltoth@gamma.ttk.pte.hu

  • Mathematical Reviews
  • Zentralblatt
  • DOAJ

Publication Model Gold Open Access
Submission Fee none
Article Processing Charge 0 EUR/article (temporarily)
Subscription Information Gold Open Access

Mathematica Pannonica
Language English
Size A4
Year of
Foundation
1990
Volumes
per Year
1
Issues
per Year
2
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 2786-0752 (Online)
ISSN 0865-2090 (Print)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Feb 2022 0 0 0
Mar 2022 0 0 0
Apr 2022 0 22 14
May 2022 0 42 24
Jun 2022 0 20 14
Jul 2022 0 12 10
Aug 2022 0 15 1