A Discrete Form of the Beckman-Quarles Theorem

DOI10.2307/2975242zbMath0890.51013OpenAlexW2076134785MaRDI QIDQ4373317

Apoloniusz Tyszka

Publication date: 21 January 1998

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975242

zbMATH Keywords

isometryBeckman-Quarles theoremEuclidean constructionMohr-Mascheroni theorem

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15) Congruence and orthogonality in metric geometry (51F20) Euclidean geometries (general) and generalizations (51M05)

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The Beckman-Quarles theorem via the triangle inequality

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