SURFACE FAMILIES WITH COMMON MANNHEIM-B CURVATURE LINE
JOURNAL OF SCIENCE AND ARTS, no.2, pp.357-368, 2024 (ESCI)
- Publication Type: Article / Article
- Publication Date: 2024
- Doi Number: 10.46939/j.sci.arts-24.2-a10
- Journal Name: JOURNAL OF SCIENCE AND ARTS
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.357-368
- Open Archive Collection: AVESIS Open Access Collection
- Ondokuz Mayıs University Affiliated: Yes
Abstract
In this study, we obtain necessary and sufficient conditions for the Mannheim B curve pair of the curve given by the Bishop frame in to be both parametric and curvature lines on the surface given by its parametric equation. Then, the same situation was expressed in the case of a ruled surface, which is a special and important type of surface, and the conditions for developable it among these surfaces were examined. Finally, examples supporting the study were given through the Maple15 program.