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Some special types of developable ruled surface


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Opened Access Some special types of developable ruled surface
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Author: Alegre Rueda, Pablo Sebastián
Arslan, Kadri
Carriazo Rubio, Alfonso
Murathan, Cengizhan
Özturk, Günay
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2010
Published in: Hacettepe Journal of Mathematics and Statistics, 39 (3), 319-325.
Document type: Article
Abstract: In this study we consider the focal curve Cγ of a space curve γ and its focal curvatures. We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the space curve γ. Finally we construct new types of ruled surface and calculate their distinguished parameters. We give necessary and sufficient conditions for these types of ruled surface to become developable.
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