Slant Ruled Surfaces

Mehmet Önder

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arXiv · 1311.0627

Slant Ruled Surfaces

Mehmet Önder

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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.

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BibTeX RIS

Mehmet Önder. 2013-11-04. Slant Ruled Surfaces. https://arxiv.org/abs/1311.0627

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