On the Blaschke approach of ruled surface

Main Article Content

Rashad A. Abdel Baky

Abstract

In this paper using E. Study map and the Blaschke approach we studied a ruled surface as a curve on the dual unit sphere. The Blaschke approach proceeds by defining a sequence of ruled surfaces associated with the ruled surface. The relative positions of these surfaces and their distribution parameters characterize the local properties of the original surface. A necessary condition for a ruled surface to be closed is derived. Moreover, an example of application is investigated in detail.

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How to Cite
Baky, R. A. A. (2003). On the Blaschke approach of ruled surface. Tamkang Journal of Mathematics, 34(2), 107–116. https://doi.org/10.5556/j.tkjm.34.2003.257
Section
Papers
Author Biography

Rashad A. Abdel Baky

Department of Mathematics, Faculty of Science, University of Assiut, 71516, Assiut, Egypt.