On the Bertrand offsets for ruled and developable surfaces
type: Item
instance of: scholarly article
title: On the Bertrand offsets for ruled and developable surfaces
zbMATH Open document ID: 1329.53007
author: M. T. Aldossary
author: Rashad A. Abdel-Baky
published in: Bollettino dell'Unione Matematica Italiana
publication date: 2015-09-21T00:00:00Z
review text: Mathematical techniques based on dual matrices and screw algebra have been used to study a lot of problems in rigid body mechanics and multibody mechanical systems. In the present paper, Bertrand offsets of the ruled surfaces in view of their dual representation are examined. As a limit position of closed ruled surfaces, similar theorems and results on the theory of closed space curves are found. The theorems of Fenchel and Barbier are reproved and the result is illustrated by computer-aided examples.
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 53A17
zbMATH DE Number: 6483838
zbMATH Keywords: Study's dual-line coordinates
zbMATH Keywords: Bertrand offset
zbMATH Keywords: Fenchel's theorem
zbMATH Keywords: Barbier's theorem
reviewed by: Clementina Mladenova
MaRDI profile type: Publication
full work available at URL: s40574-015-0025-1
OpenAlex ID: W1192329422
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DOI: 10.1007/S40574-015-0025-1
description: scientific article; zbMATH DE number 6483838