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Ptolemy circles and Ptolemy segments

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Abstract

In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we present an example of a metric sphere, which is Möbius equivalent but not homothetic to the standard metric sphere with its chordal metric.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurer Strasse 190, 8057, Zürich, Switzerland

    Thomas Foertsch & Viktor Schroeder

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  1. Thomas Foertsch
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  2. Viktor Schroeder
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Correspondence to Thomas Foertsch.

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Foertsch, T., Schroeder, V. Ptolemy circles and Ptolemy segments. Arch. Math. 98, 571–581 (2012). https://doi.org/10.1007/s00013-012-0398-7

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  • DOI: https://doi.org/10.1007/s00013-012-0398-7

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