The three harmonic homologies theorem

DOI10.1016/j.exmath.2024.125544OpenAlexW4391482969WikidataQ128742814 ScholiaQ128742814MaRDI QIDQ6197582

Fahimeh Heidari, Bijan Honari

Publication date: 20 March 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2024.125544

zbMATH Keywords

Pascal's theoremLaguerre geometryMiquel's theoremharmonic homologythree reflections theorem

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Reflection groups, reflection geometries (51F15) Projective analytic geometry (51N15) Laguerre geometries (51B15)

Cites Work

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• The octahedron theorem in Minkowski three-space: A metric vector space proof of Miquel's theorem in the Laguerre plane
• A forgotten geometrical transformation
• Classical Geometries in Modern Contexts
• The Projective Antecedent of the Three Reflection Theorem
• Cycles and Tangent Rays
• Laguerre's Axial Transformation
• Non-Euclidean Laguerre Geometry and Incircular Nets
• The Three Reflections Theorem Revisited

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