Author/Authors
Yaylı, Yusuf Ankara Üniversitesi - Faculty of Sciences - Department of Mathematics, Turkey , Saraçoğlu, Semra Siirt University - Faculty of Science and Arts - Department of Mathematics, Turkey
Title Of Article
Different Approaches To Ruled Surfaces
شماره ركورد
35964
Abstract
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.
From Page
56
NaturalLanguageKeyword
Ruled surface , dual vectors , Bishop frame
JournalTitle
Süleyman Demirel University Faculty of Arts and Science Journal of Science
To Page
68
JournalTitle
Süleyman Demirel University Faculty of Arts and Science Journal of Science
Link To Document