Inequalities for curves of constant breadth
type: Item
instance of: scholarly article
title: Inequalities for curves of constant breadth
zbMATH Open document ID: 0641.52001
DOI: 10.1007/BF01222381
author: Günter Aumann
published in: Journal of Geometry
publication date: 1988-01-01T00:00:00Z
review text: A simple closed plane curve c is called convex if it surrounds a convex point set. It is called of constant breath if the distance of two arbitrary parallel support lines is constant. Some theorems on curves of constant breath are proved, which permit a simple estimate of breath and of the radii of circumcircle and incircle. The results can be used for construction and approximation of such curves.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 4044611
zbMATH Keywords: curves of constant breath
MaRDI profile type: Publication
cites work: Rotors in Polygons and Polyhedra
cites work: Q3231776
cites work: Q5683877
cites work: Q3694703
cites work: Prüfung einer Kreisform mit Hohlwinkel und Taster
full work available at URL: https://doi.org/10.1007/bf01222381
OpenAlex ID: W2108109568
description: scientific article; zbMATH DE number 4044611