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, vol.21, pp.667-672, 2005 (SCI-Expanded) identifier identifier

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.