publication . Other literature type . Article . 2008

Angle bisectors of a triangle in $I_2$

Zdenka Kolar-Begović;
Open Access English
  • Published: 01 Jan 2008 Journal: Mathematical Communications, volume 13, issue 1 (issn: 1331-0623, eissn: 1848-8013, Copyright policy)
  • Publisher: Department of Mathematics, University of Osijek
Abstract
The concept of an angle bisector of the triangle will be introduced in an isotropic plane. Some statements about relationships between the introduced concepts and some other previously studied geometric concepts about triangles will be investigated in an isotropic plane. A number of these statements seems to be new, and some of them are known in Euclidean geometry.
Subjects
arXiv: Computer Science::Computational Geometry
free text keywords: isotropic plane; standard triangle; angle bisector
Related Organizations

[1] J. Beban-Brkic´, V. Volenec, Z. Kolar-Begovic´, R. Kolar-Sˇuper, On Feuerbach's theorem and a pencil of circles in I2, Journal for Geometry and Graphics 10(2006), 125-132.

[2] D. R. Byrkit, T. L. Dixon, Some theorems involving the lengths of segments in a triangle, Math. Teacher 80(1997), 567-579.

[3] F. G.-M., Exercises de Ge´ome´trie, 5.e´d., Maison A. Mame et Fils, Tours 1912.

[4] Z. Kolar-Begovic´, R. Kolar-Sˇuper, J. Beban-Brkic´, V. Volenec, Symmedians and symmedian's center of a triangle in an isotropic plane, Mathematica Pannonica 17(2006), 287-301. [OpenAIRE]

[5] R. Kolar-Sˇuper, Z.Kolar-Begovic´, V. Volenec, J. Beban-Brkic´, Metrical relationships in standard triangle in an isotropic plane, Mathematical Communications 10(2005), 149-157. [OpenAIRE]

[6] R. Kolar-Sˇuper, Z. Kolar-Begovic´, V. Volenec, J. Beban-Brkic´, Isogonality and inversion in an isotropic plane, International Journal of Pure and Applied Mathematics, to appear.

[7] A. Mineur, A propos d'un the´ore`me de M. V. The´bault, Mathesis 50(1936), 196-198.

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

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publication . Other literature type . Article . 2008

Angle bisectors of a triangle in $I_2$

Zdenka Kolar-Begović;