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

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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.

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Correspondence to Serap Bulut or Nihal Yilmaz Özgür.

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Bulut, S., Yilmaz Özgür, N. A New Characterization of Möbius Transformations by the Use of Apollonius Points of (2n – 1)–gons. Acta Math Sinica 21, 667–672 (2005). https://doi.org/10.1007/s10114-004-0475-3

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  • DOI: https://doi.org/10.1007/s10114-004-0475-3

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