Authors:
Ružica Kolar-Šuper Department of Natural Sciences, Faculty of Education, University of Osijek, Cara Hadrijana 10, 31 000 Osijek

Search for other papers by Ružica Kolar-Šuper in
Current site
Google Scholar
PubMed
Close
and
Vladimir Volenec Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb

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

In this paper, we consider the Feuerbach point and the Feuerbach line of a triangle in the isotropic plane, and investigate some properties of these concepts and their relationships with other elements of a triangle in the isotropic plane. We also compare these relationships in Euclidean and isotropic cases.

  • [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. J. Geom. Graph. (2006), 125132.

    • Search Google Scholar
    • Export Citation
  • [2]

    Beban-Brkić, J., Volenec, V., Kolar-Begović, Z., and Kolar-Šuper, R. On Gergonne’s point of the triangle in isotropic plane. Rad HAZU, Matematičke znanosti 17, 515 (2013), 95106.

    • Search Google Scholar
    • Export Citation
  • [3]

    Kolar-Šuper, R., Kolar-Begović, Z., and Volenec, V. Dual Feuerbach theorem in an isotropic plane. Sarajevo J. Math. 6, 18 (2010), 109115.

    • Search Google Scholar
    • Export Citation
  • [4]

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

    • Search Google Scholar
    • Export Citation
  • [5]

    Lalesco T. La géométrie du triangle. Vuibert, Paris, 1952.

  • [6]

    Leemans, J. Propriétés du triangle déduites de la considération de formes projectives du premier et du second degré. Mathesis 51 (1937), 5864.

    • Search Google Scholar
    • Export Citation
  • [7]

    Lemoine, E. Divers résultats concernant la géométrie du triangle. Assoc. Franc. Avanc. Sci. 20, 2 (1891), 130159.

  • [8]

    Lepiney, P. Sur le point de Feuerbach. Mathesis 36 (1922), 271314, 271–274, 313–314.

  • [9]

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

  • [10]

    Strubecker, K. Geometrie in einer isotropen Ebene I–III. Math. Naturw. Unterr. 15 (1962), 297394, 297–306, 343–351, 385–394.

  • [11]

    Thébault, V. Sur le point de Feuerbach. Nouv. Ann. Math. 14, 4 (1914), 106119.

  • [12]

    Thébault, V. Sur les points de Feuerbach. Math. Gaz. 20 (1936), 145148.

  • [13]

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

    • Search Google Scholar
    • Export Citation
  • [14]

    Volenec, V., Kolar-Begović, Z., and Kolar-Šuper, R. Reciprocity in an isotropic plane. Rad HAZU, Matematičke znanosti 18, 519 (2014), 171181.

    • Search Google Scholar
    • Export Citation
  • Collapse
  • Expand

Editor in Chief: László TÓTH, University of Pécs, Pécs, Hungary

Honorary Editors in Chief:

  • János PINTZ, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • † Ferenc SCHIPP, Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary
  • Sándor SZABÓ, University of Pécs, Pécs, Hungary
     

Deputy Editors in Chief:

  • Erhard AICHINGER, JKU Linz, Linz, Austria
  • Ferenc HARTUNG, University of Pannonia, Veszprém, Hungary
  • Ferenc WEISZ, Eötvös Loránd University, Budapest, Hungary

Editorial Board

  • Attila BÉRCZES, University of Debrecen, Debrecen, Hungary
  • István BERKES, Rényi Institute of Mathematics, Budapest, Hungary
  • Károly BEZDEK, University of Calgary, Calgary, Canada
  • György DÓSA, University of Pannonia, Veszprém, Hungary
  • Balázs KIRÁLY – Managing Editor, University of Pécs, Pécs, Hungary
  • Vedran KRCADINAC, University of Zagreb, Zagreb, Croatia 
  • Željka MILIN ŠIPUŠ, University of Zagreb, Zagreb, Croatia
  • Gábor NYUL, University of Debrecen, Debrecen, Hungary
  • Margit PAP, University of Pécs, Pécs, Hungary
  • István PINK, University of Debrecen, Debrecen, Hungary
  • Mihály PITUK, University of Pannonia, Veszprém, Hungary
  • Lukas SPIEGELHOFER, Montanuniversität Leoben, Leoben, Austria
  • Andrea ŠVOB, University of Rijeka, Rijeka, Croatia
  • Csaba SZÁNTÓ, Babeş-Bolyai University, Cluj-Napoca, Romania
  • Jörg THUSWALDNER, Montanuniversität Leoben, Leoben, Austria
  • Zsolt TUZA, University of Pannonia, Veszprém, Hungary

Advisory Board

  • Szilárd RÉVÉSZ – Chair, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • Gabriella BÖHM
  • György GÁT, University of Debrecen, Debrecen, Hungary

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
Online only
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)