Convex curves of bounded type.
Goodman, A.W. (1985)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Integrable smooth planar billiards and evolutes.”
Convex curves of bounded type.
The centre symmetry set
Peter Giblin, Paul Holtom (1999)
Banach Center Publications
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A centrally symmetric plane curve has a point called it’s centre of symmetry. We define (following Janeczko) a set which measures the central symmetry of an arbitrary strictly convex plane curve, or surface in . We investigate some of it’s properties, and begin the study of non-convex cases.
Pedals, Autoroulettes and Steiner's Theorem
Momčilo Bjelica (1997)
Matematički Vesnik
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Parallelograms inscribed in a curve having a circle as π/2-isoptic
Andrzej Miernowski (2008)
Annales UMCS, Mathematica
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Jean-Marc Richard observed in [7] that maximal perimeter of a parallelogram inscribed in a given ellipse can be realized by a parallelogram with one vertex at any prescribed point of ellipse. Alain Connes and Don Zagier gave in [4] probably the most elementary proof of this property of ellipse. Another proof can be found in [1]. In this note we prove that closed, convex curves having circles as π/2-isoptics have the similar property.
A four-vertex theorem for space curves.
Heil, Erhard (1999)
Mathematica Pannonica
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Total curvature of non-differentiable curves.
Gustavo Corach, Horacio Porta (1987)
Revista Matemática Iberoamericana
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Notes on geometry
Heinrich W. Guggenheimer (1969)
Archivum Mathematicum
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