Rad HAZU, Matematičke znanosti, Vol. 18 (2014), 171-181.

RECIPROCITY IN AN ISOTROPIC PLANE

Vladimir Volenec, Zdenka Kolar-Begović and Ružica Kolar-Šuper

Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
e-mail: volenec@math.hr

Department of Mathematics, University of Osijek, 31 000 Osijek, Croatia
e-mail: zkolar@mathos.hr

Faculty of Teacher Education, University of Osijek, 31 000 Osijek, Croatia
e-mail: rkolar@ufos.hr

Abstract.   The concept of reciprocity with respect to a triangle is introduced in an isotropic plane. A number of statements about the properties of this mapping is proved. The images of some well known elements of a triangle with respect to this mapping will be studied.

2010 Mathematics Subject Classification.   51N25.

Key words and phrases.   Isotropic plane, standard triangle, reciprocity, Steiner point.

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References:

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  2. 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 (2006), 287-301.
    MathSciNet

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