SOME SPECIAL TYPES OF DEVELOPABLE RULED SURFACE

Alegre P., Arslan K., Carriazo A., Murathan C., Ozturk G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.3, pp.319-325, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2010
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.319-325
  • Keywords: Frenet formulas, Helix, Focal curvature, Focal curve, Ruled surface, CURVATURES
  • Bursa Uludag University Affiliated: Yes

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.