Applications of Equivalent Curves to Ruled Surfaces
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.18, sa.1, ss.135-142, 2025 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.36890/iejg.1528951
- Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.135-142
- Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet
Özet
In this paper, the characterization of equivalent curves in E^3 is used to define ruled surfaces whose base curves are equivalent curves and to examine the relationships between them. At the same time, an equivalence relation for ruled surfaces is obtained. The equivalence classes resulting from this relation are studied. It is concluded that all ruled surfaces in the equivalence class of a developable surface are developable. Thus, a method is established to obtain an infinite ruled surface from a ruled surface. Finally, a new method is given to obtain a developable surface.