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Turkish Journal of Mathematics

Author ORCID Identifier

NİHAL ÖZGÜR: 0000-0002-8152-1830

Abstract

In this paper, we examine the images of n-ellipses under the Möbius transformations (linear fractional transformations) for n ≥ 3. As a result of this investigation, we present a new and generalized version (called n-generalized Apollonius circle) of the concept of an Apollonius circle in the plane.

DOI

10.55730/1300-0098.3594

Keywords

inversion, M\"{o}bius transformation, n-ellipse, similarity transformation

First Page

359

Last Page

371

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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