Some special types of developable ruled surface
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Date
2010-09
Authors
Alegre, Pablo
Carriazo, Alfonso
Öztürk, Günay
Journal Title
Journal ISSN
Volume Title
Publisher
Hacettepe Üniversitesi
Abstract
In this study we consider the focal curve C gamma. of a space curve gamma 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 gamma. 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.
Description
Keywords
Frenet formulas, Helix, Focal curvature, Focal curve, Ruled surface, Space, Curvatures, Curves, Mathematics
Citation
Alegre, P. vd. (2010). "Some special types of developable ruled surface". Hacettepe Journal of Mathematics and Statistics, 39(3), 319-325.