Slant Ruled Surfaces

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.

12 pages

References in corpus (1)

• Similar Ruled Surfaces with Variable Transformations in the Euclidean 3-space

Cited by in corpus (3)

• Darboux Slant Ruled Surfaces
• Osculating-type Ruled Surfaces in the Euclidean 3-space
• Characterizations of Slant Ruled Surfaces in the Euclidean 3-space