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- Beckman–Quarles_theorem abstract "In geometry, the Beckman–Quarles theorem, named after F. S. Beckman and D. A. Quarles, Jr., states that if a transformation of the Euclidean plane or a higher-dimensional Euclidean space preserves unit distances, then it preserves all distances. Equivalently, every automorphism of the unit distance graph of the plane must be an isometry of the plane.Beckman and Quarles published this result in 1953; it was later rediscovered by other authors.".
- Beckman–Quarles_theorem wikiPageID "7580572".
- Beckman–Quarles_theorem wikiPageRevisionID "603813603".
- Beckman–Quarles_theorem subject Category:Euclidean_geometry.
- Beckman–Quarles_theorem subject Category:Metric_geometry.
- Beckman–Quarles_theorem subject Category:Theorems_in_geometry.
- Beckman–Quarles_theorem comment "In geometry, the Beckman–Quarles theorem, named after F. S. Beckman and D. A. Quarles, Jr., states that if a transformation of the Euclidean plane or a higher-dimensional Euclidean space preserves unit distances, then it preserves all distances. Equivalently, every automorphism of the unit distance graph of the plane must be an isometry of the plane.Beckman and Quarles published this result in 1953; it was later rediscovered by other authors.".
- Beckman–Quarles_theorem label "Beckman–Quarles theorem".
- Beckman–Quarles_theorem label "Satz von Beckman und Quarles".
- Beckman–Quarles_theorem sameAs Beckman%E2%80%93Quarles_theorem.
- Beckman–Quarles_theorem sameAs Satz_von_Beckman_und_Quarles.
- Beckman–Quarles_theorem sameAs Q2226606.
- Beckman–Quarles_theorem sameAs Q2226606.
- Beckman–Quarles_theorem wasDerivedFrom Beckman–Quarles_theorem?oldid=603813603.