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

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Bulut S., Ozgur N.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.21, pp.667-672, 2005 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 21
• Publication Date: 2005
• Doi Number: 10.1007/s10114-004-0475-3
• Journal Name: ACTA MATHEMATICA SINICA-ENGLISH SERIES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.667-672
• Kocaeli University Affiliated: No

Abstract

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.