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Parallel surfaces of ruled Weingarten surfaces

In this paper, it is shown that parallel surfaces of a non-developable ruled surface are not ruled surfaces by using fundamental forms. It has been shown that the parallel surfaces of a developable ruled surface is the developable ruled surfaces. It is obtained that parallel surfaces of ruled Weinga...

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Bibliographic Details
Published in:New trends in mathematical sciences 2015-12, Vol.3 (4), p.237-237
Main Authors: Savci, Umit Ziya, Gorgulu, Ali, Ekici, Cumali
Format: Article
Language:English
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Summary:In this paper, it is shown that parallel surfaces of a non-developable ruled surface are not ruled surfaces by using fundamental forms. It has been shown that the parallel surfaces of a developable ruled surface is the developable ruled surfaces. It is obtained that parallel surfaces of ruled Weingarten surface are Weingarten surface.
ISSN:2147-5520
2147-5520