Variations on the Tait-Kneser theorem

DOI10.1007/s00283-021-10119-0zbMath1521.53001arXiv2104.02170OpenAlexW3197670929MaRDI QIDQ6169267

Gil Bor, Sergei Tabachnikov, Connor Jackman

Publication date: 11 July 2023

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02170

zbMATH Keywords

plane curvesosculating circles

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Affine differential geometry (53A15)

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Cites Work

• Kepler's laws and conic sections
• Osculating curves: around the Tait-Kneser theorem
• Centro-affine invariants and the canonical Lorentz metric on the space of centered ellipses
• Evolutes of plane curves and null curves in Minkowski 3-space
• Differential equations and conformal structures
• Differential geometry from differential equations
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