A theory of duality in Euclidean geometry

DOI10.1007/S13366-017-0370-6zbMath1393.51011OpenAlexW2768198081MaRDI QIDQ1646649

Rolf Struve

Publication date: 25 June 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0370-6

zbMATH Keywords

Euclidean geometrycircle geometryprinciple of dualityself-dual order structure

Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Ordered geometries (ordered incidence structures, etc.) (51G05) Euclidean geometries (general) and generalizations (51M05) Reflection groups, reflection geometries (51F15)

Related Items (1)

Cyclic order: a geometric analysis

Cites Work

• An axiomatic foundation of Cayley-Klein geometries
• The principle of duality in Euclidean and in absolute geometry
• The axiomatics of ordered geometry: I. Ordered incidence spaces
• An axiomatic analysis of the Droz-Farny line theorem
• Negation-free and contradiction-free proof of the Steiner-Lehmus theorem
• Ensembles quadratiques des espaces projectifs
• GEOMETRISATION OF FIRST-ORDER LOGIC
• Zum Begriff Der Projektiv-Metrischen Ebene
• Die Ordnungsfunktionen einer Geometrie
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