Yaylı, Yusuf Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey , Saraçoğlu, Semra Siirt University - Faculty of Science and Arts - Department of Mathematics, Turkey

Different Approaches To Ruled Surfaces

35964

In this study, surfaces are defined by using dual vectors and line transformations. A new approach is given for the transformation of parametrically surfaces. Dual curve and dual surface representational model for 3-dimensional geometric entities based on dual unit vectors are proposed. Some well-known new approaches like Blaschke approach of ruled surfaces are used. Moreover, geometric explanations of Bishop and Frenet are presented. Finally, an analytical comparison and the relation between Blaschke and Darboux approaches are represented showing the merits of our method.

56

Ruled surface , dual vectors , Bishop frame

Süleyman Demirel University Faculty of Arts and Science Journal of Science

68