A new characterization of Mobius transformations by the use of Apollonius points of (2n-1)-gons


Bulut S. , Ozgur N.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.21, ss.667-672, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10114-004-0475-3
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Sayfa Sayısı: ss.667-672

Özet

In this paper, we give a new characterization of Mobius 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.