Facts
Citation
URLhttps://en.wikipedia.org/wiki/Beckman%E2%80%93Quarles_theorem
Sources
Beckman Quarles theorem (Wikipedia)
Lead sectionQuote, Lead section
In geometry, the Beckman-Quarles theorem states that if a transformation of the Euclidean plane or a higher-dimensional Euclidean space preserves unit distances, then it preserves all Euclidean distances.
Claims Backed By This Source (7 claims)
This source backs 7 claims across the atlas. As facts: 4 well-attested. As cited relationships: 1 holds. Plus 2 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Theorems, 6 claims: 3 well-attested, 1 holds, 2 general references.
- Sources, 1 claims: 1 well-attested.
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