A cyclographic approach to the vertices of plane curves

DOI10.1007/BF01222675zbMath0807.53003OpenAlexW2061661821MaRDI QIDQ1331285

Brigitte Wegner

Publication date: 23 February 1995

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

Full work available at URL: https://doi.org/10.1007/bf01222675

zbMATH Keywords

medial axisfour-vertex theoremosculating circlesVoronoi set

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) (n)-vertex theorems via direct methods (51L15) Geometric orders, order geometry (53C75)

Related Items (1)

Global properties of codimension two spacelike submanifolds in Minkowski space

Cites Work

• A four-vertex theorem for polygons and its generalization to polytopes
• Über die Anzahl der ordnungsgeometrischen Scheitel von Kurven. I. (On the number of order geometric vertices of curves. I)
• On the four-vertex theorem
• On plane Minkowski geometry
• A counterexample to a conjecture of U. Pinkall
• On the number of circles of curvature perfectly enclosing or perfectly enclosed by a closed convex oval
• On the inversive differential geometry of plane curves
• The Four-or-More Vertex Theorem
• Symmetry sets
• Circumscribed Circles
• Verallgemeinerung eines Satzes von R.C. Bose über die Anzahl der Schmiegkreise eines Ovals, die vom Oval umschlossen werden oder das Oval umschließen.
• Umbilical Submanifolds and Morse Functions
• Existence of Four Concurrent Normals to a Smooth Closed Hypersurface of E n
• Vertices of plane curves
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