Applications of Equivalent Curves to Ruled Surfaces

dc.authoridBataray, Büşra / 0000-0001-7828-4283
dc.authoridCamcı, Çetin / 0000-0002-0122-559X
dc.contributor.authorBataray, Büşra
dc.contributor.authorCamcı, Çetin
dc.date.accessioned2025-05-29T02:57:21Z
dc.date.available2025-05-29T02:57:21Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this paper, the characterization of equivalent curves in E3 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.
dc.description.sponsorshipanakkale Onsekiz Mart University The Scientific Research Coordination Unit [FDK-2022-4238]
dc.description.sponsorshipThis study was supported by Canakkale Onsekiz Mart University The Scientific Research Coordination Unit, Project number: FDK-2022-4238.
dc.identifier.doi10.36890/IEJG.1528951
dc.identifier.endpage142
dc.identifier.issn1307-5624
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105004371589
dc.identifier.scopusqualityQ4
dc.identifier.startpage135
dc.identifier.urihttps://doi.org/10.36890/IEJG.1528951
dc.identifier.urihttps://hdl.handle.net/20.500.12428/30018
dc.identifier.volume18
dc.identifier.wosWOS:001477658700009
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInt Electronic Journal Geometry
dc.relation.ispartofInternational Electronic Journal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250529
dc.subjectEquivalent curve
dc.subjectruled surface
dc.subjectdevelopable surface
dc.subjectequivalence class
dc.titleApplications of Equivalent Curves to Ruled Surfaces
dc.typeArticle

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