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The Ptolemaean inequality in the closure of complex hyperbolic planes
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This paper is organized as follows: In the preliminary Section 2 we state well-known facts about the complex hyperbolic plane, its boundary, horospherical coordinates, and the Cygan metric. In Section 3 we prove the Ptolemaean inequality (Theorem 3.1), and finally in Section 4 we prove Ptolemaeus’ theorem.
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