A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n . 1).gons

Citation
Bulut, Serap et Özgür, Nihal Yilmaz, A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n . 1).gons, Acta mathematica Sinica. English series (Print) , 21(3), 2005, pp. 667-672
ISSN journal
14398516
Volume
21
Issue
3
Year of publication
2005
Pages
667 - 672
Database
ACNP
SICI code
Abstract
In this paper, we give a new characterization of Möbius transformations. To do this, we extend the notion of Apollonius points of a triangle and of a pentagon, to the notion of Apollonius points of an arbitrary (2n . 1).gon.