Slant Ruled Surfaces
Year: 2013
Type: preprint
Abstract: In this study, we define some new types of ruled surfaces called slant ruled surfaces. We give some characterizations for a regular ruled surface to be a slant ruled surface in Euclidean 3- space. We show that if the slant ruled surface is developable then the striction curve is a general helix or a slant helix according to the kind of surface. Moreover, we give the relationships between slant ruled surfaces and some offset surfaces such as Bertrand offsets and Mannheim offsets.
Source: arXiv (Cornell University)
Author: Önder, Mehmet
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2796236707