A characterization of motions as bijections preserving inradius or circumradius 1

DOI10.1007/BF01298927zbMath0583.51014OpenAlexW2076840921MaRDI QIDQ1069126

June A. Lester

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178270

zbMATH Keywords

circumradiusBeckman-Quarles theoreminradiusEuclidean motionbijection of the Euclidean plane

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Euclidean geometries (general) and generalizations (51M05) Euclidean analytic geometry (51N20)

Cites Work

• Unnamed Item
• Euclidean plane point-transformations preserving unit area or unit perimeter
• On Isometries of Euclidean Spaces

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