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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10114-004-0475-3
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.667-672
  • Kocaeli Üniversitesi Adresli: Hayır

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.