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Normal Direction Curves and Applications

ArticleAçık Erişim

Özet

In this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction curves to some special curves such as helix, slant helix, plane curve or normal-direction (ND)-normal curves in E3. And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves. © 2021 Miskolc University Press

Anahtar Kelimeler

associated curvenormal-direction curvenormal-donor curve
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13273Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2021.1476Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorKızıltuğ, Sezai
dc.contributor.authorÖnder, Mehmet
dc.contributor.authorYaylı, Yusuf
dc.date.accessioned2026-10-18T20:28:06.658410741Z
dc.date.available2026-10-18T20:28:06.658410741Z
dc.date.issued2021
dc.description.abstractIn this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction curves to some special curves such as helix, slant helix, plane curve or normal-direction (ND)-normal curves in E3. And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves. © 2021 Miskolc University Press
dc.identifier.doi10.18514/mmn.2021.1476
dc.identifier.eissn1787-2413
dc.identifier.endpage374
dc.identifier.issn1787-2405
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85108515742
dc.identifier.startpage363
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13273
dc.identifier.volume22
dc.identifier.wosWOS:000661139500026
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectassociated curve
dc.subjectnormal-direction curve
dc.subjectnormal-donor curve
dc.titleNormal Direction Curves and Applications
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos3
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)