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An analogue of
Ptolemy’s theorem and its converse in hyperbolic geometry
Joseph Earl Valentine |
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Vol. 34 (1970), No. 3, 817–825
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Abstract |
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The purpose of this paper is to give a complete answer to the question: what relations between the mutual distances of n(n ≧ 3) points in the hyperbolic plane are necessary and sufficient to insure that those points lie on a line, circle, horocycle, or one branch of an equidistant curve, respectively ? |
Mathematical Subject Classification
Primary: 50.40
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Milestones
Received: 4 August 1969
Published: 1 September 1970
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Authors |
| Joseph Earl Valentine | |
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