Associated curves from a different point of view in E 3

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dc.contributor.authorCanlı, Davut
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-28T13:11:36Z
dc.date.available2022-12-28T13:11:36Z
dc.date.issued2022
dc.description.abstractIn this paper, tangent, principal normal and binormal wise associated curves are defined such that each of these vectors of any given curve lies on the osculating, normal and rectifying plane of its partner, respectively. For each associated curve, a new moving frame and the corresponding curvatures are formulated in terms of Frenet frame vectors. In addition to this, the possible solutions for distance functions between the curve and its associated mate are discussed. In particular, it is seen that the involute curves belong to the family of tangent associated curves in general and the Bertrand and the Mannheim curves belong to the principal normal associated curves. Finally, as an application, we present some examples and map a given curve together with its partner and its corresponding moving frame.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage845tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue3tr_TR
dc.identifier.startpage826tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1026359tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86574
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.1026359tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectCurve theory, special curves, associated curves, Frenet frame, Euclidean spacetr_TR
dc.titleAssociated curves from a different point of view in E 3tr_TR
dc.typeArticletr_TR

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Cilt:71 Sayı:03 (2022)