"Convex Curves of Bounded Type" by A. W. Goodman
 

Document Type

Article

Publication Date

1985

Digital Object Identifier (DOI)

https://doi.org/10.1155/S0161171285000680

Abstract

Let C be a simple closed convex curve in the plane for which the radius of curvature ρ is a continuous function of the arc length. Such a curve is called a convex curve of bounded type, if ρ lies between two fixed positive bounds. Here we give a new and simpler proof of Blaschke's Rolling Theorem. We prove one new theorem and suggest a number of open problems.

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This work is licensed under a Creative Commons Attribution 3.0 License.

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Citation / Publisher Attribution

International Journal of Mathematics and Mathematical Sciences, v. 8, art. 583138

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