Mannheim Offsets of Ruled Surfaces
Joint Authors
Kasap, Emin
Orbay, Keziban
Aydemir, İsmail
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In a recent works Liu and Wang (2008; 2007) study the Mannheim partner curves in the three dimensional space.
In this paper, we extend the theory of the Mannheim curves to ruled surfaces and define two ruled surfaces which are offset in the sense of Mannheim.
It is shown that, every developable ruled surface have a Mannheim offset if and only if an equation should be satisfied between the geodesic curvature and the arc-length of spherical indicatrix of it.
Moreover, we obtain that the Mannheim offset of developable ruled surface is constant distance from it.
Finally, examples are also given.
American Psychological Association (APA)
Orbay, Keziban& Kasap, Emin& Aydemir, İsmail. 2009. Mannheim Offsets of Ruled Surfaces. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-450704
Modern Language Association (MLA)
Orbay, Keziban…[et al.]. Mannheim Offsets of Ruled Surfaces. Mathematical Problems in Engineering No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-450704
American Medical Association (AMA)
Orbay, Keziban& Kasap, Emin& Aydemir, İsmail. Mannheim Offsets of Ruled Surfaces. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-450704
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450704