Equicevian points and equiangular lines of a triangle in an isotropic plane

Authors

  • Zdenka Kolar-Begović Department of Mathematics, University of Osijek, Osijek, Croatia
  • Ružica Kolar-Šuper Faculty of Teacher Education, University of Osijek, Osijek, Croatia
  • Vladimir Volenec Department of Mathematics, University of Zagreb, Zagreb, Croatia

DOI:

https://doi.org/10.5644/SJM.11.1.08

Keywords:

Isotropic plane, admissible triangle, standard triangle, equicevian points, equicevian lines

Abstract

The concepts of equicevian points and equiangular lines of a triangle in an isotropic plane are studied in this paper. A number of significant properties of the introduced concepts are considered.

 

Statistics

Abstract: 22  /   PDF: 3

 

References

[1] G. Brocard, Centre de transversales angulaires egales, Mathesis, 6 (1896), 217-221.

[2] R. Kolar--Šuper, Z. Kolar--Begović, V. Volenec and J. Beban--Brkić, Metrical relationships in a standard triangle in an isotropic plane, Math. Communications, 10 (2) (2005), 149--157.

[3] Z. Kolar--Begović, R. Kolar--Šuper, J. Beban--Brkić and V. Volenec, Symmedians and the symmedian center of the triangle in an isotropic plane, Math. Pannonica, 17/2 (2006), 287--301.

[4] J. Neuberg, Note sur l'article précédent, Mathesis, 6 (1896), 221-225.

[5] J. R. Pounder, Equal cevians, Crux Math., 6 (1980), 98-104, 239-240.

[6] V. Volenec, Z. Kolar--Begović and R. Kolar--Šuper, Steiner's ellipses of the triangle in an isotropic plane, Math. Pannonica, 21 (2010), 229--238.

[7] H. Sachs, Ebene isotrope Geometrie, Vieweg--Verlag, Braunschweig/Wiesbaden, 1987.

[8] K. R. S. Sastry, Problem 1923, Crux Math., 20 (1994), 74.

[9] K. Strubecker, Geometrie in einer isotropen Ebene, Math. Naturwiss. Unterricht, 15 (1962), 297--306, 343--351, 385--394.

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Published

03.06.2015

How to Cite

Kolar-Begović, Z., Kolar-Šuper, R., & Volenec, V. (2015). Equicevian points and equiangular lines of a triangle in an isotropic plane. Sarajevo Journal of Mathematics, 11(1), 101–107. https://doi.org/10.5644/SJM.11.1.08

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Articles