Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A geometric inequality for plane curves with restricted curvature


Authors: G. D. Chakerian, H. H. Johnson and A. Vogt
Journal: Proc. Amer. Math. Soc. 57 (1976), 122-126
MSC: Primary 52A40
DOI: https://doi.org/10.1090/S0002-9939-1976-0402611-2
MathSciNet review: 0402611
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A geometric proof is given that a closed plane curve of length $ L$ and curvature bounded by $ K$ can be contained inside a circle of radius $ L/4 - (\pi - 2)/2K$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 52A40

Retrieve articles in all journals with MSC: 52A40


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0402611-2
Keywords: Plane curves, geometric inequalities, convexity
Article copyright: © Copyright 1976 American Mathematical Society