Article
2023
·
0 citations
ON THE CURVES LYING ON PARALLEL-LIKE SURFACES OF THE RULED SURFACE IN E<SUP>3</SUP>
Abstract
In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.
Keywords
Ruled surface
parallel-like surface
Darboux frame
WoS Categories
Mathematics
Citation
- Journal
- COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Year
- 2023
- Volume
- 72
- Issue
- 4
- Pages
- 867-879
- ISSN
- 1303-5991
- DOI
- 10.31801/cfsuasmas.1187854
- WoS UID
- WOS:001129906700004