Title of article
SOME SPECIAL TYPES OF DEVELOPABLE RULED SURFACE
Author/Authors
Alegre, P. University of Sevilla - Faculty of Mathematics, Spain , Arslan, K. Uludag University - Department of Mathematics, Turkey , Carriazo, Alfonso University of Sevilla - Faculty of Mathematics, Spain , Murathan, C. Uludag University - Department of Mathematics, Turkey , Ozturk, G. Kocaeli University - Department of Mathematics, Turkey
From page
319
To page
325
Abstract
In this study we consider the focal curve C of a space curve 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 . 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.
Keywords
Frenet formulas , Helix , Focal curvature , Focal curve , Ruled surface
Journal title
Hacettepe Journal Of Mathematics and Statistics
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2600947
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