A generalized four-vertex theorem

DOI10.1007/BF01230613zbMath0657.51008OpenAlexW2054427265MaRDI QIDQ1110808

Gary Spoar

Publication date: 1988

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230613

zbMATH Keywords

verticesstrong differentiabilityconformal planeconformal generalization of the Four-vertex Theorem

Mathematics Subject Classification ID

(n)-vertex theorems via direct methods (51L15) Geometric orders, order geometry (53C75)

Cites Work

• Differentiable curves of cyclic order four
• A least upper bound for the number of singular points on normal arcs and curves of cyclic order four
• Ein allgemeiner Vierscheitelsatz für ebene Jordankurven. I: Vorbereitende Betrachtungen. Erster Teil des Beweises
• Characteristic and Order of Differentiable Points in the Conformal Plane
• A Conformal Proof of a Jordan Curve Problem
• Monotony of the Osculating Circles of Arcs of Cyclic Order Three
• Extensions of the Four-Vertex Theorem
• Differentiable Points in the Conformal Plane
• Vertices of plane curves

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