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Martin Sleziak
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Doug Chatham's answer is the best I received; see Theorem 23.7Theorem 23.7 of George E. Martin's "The Foundations of Geometry and the Non-Euclidean Plane".

Doug Chatham's answer is the best I received; see Theorem 23.7 of George E. Martin's "The Foundations of Geometry and the Non-Euclidean Plane".

Doug Chatham's answer is the best I received; see Theorem 23.7 of George E. Martin's "The Foundations of Geometry and the Non-Euclidean Plane".

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James Propp
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Doug Chatham's answer is the best I received; see Theorem 23.7 of George E. Martin's "The Foundations of Geometry and the Non-Euclidean Plane".