On the Bertrand offsets for ruled and developable surfaces

DOI10.1007/s40574-015-0025-1zbMath1329.53007OpenAlexW1192329422MaRDI QIDQ496271

Rashad A. Abdel-Baky, Maryam T. Aldossary

Publication date: 21 September 2015

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-015-0025-1

zbMATH Keywords

Barbier's theoremBertrand offsetFenchel's theoremStudy's dual-line coordinates

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the one-parameter dual spherical motions
• Bertrand offsets of ruled and developable surfaces
• Öffnungsvarianten der Bahnregelflächen euklidischer Zwangläufe. (Aperture invariants for ruled surfaces representing trajectories of constrained Euclidean motions)
• On the computational geometry of ruled surfaces.
• On the invariants of Bertrand trajectory surface offsets
• Integralinvarianten von Regelflächen
• Explicit Characterization of Spherical Curves

This page was built for publication: On the Bertrand offsets for ruled and developable surfaces