A NEW METHOD FOR CONSTRUCTION OF PH-HELICAL CURVES IN E3

Basit Öğe Kaydı
dc.contributor.authorCamci, Cetin
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2025-01-27T20:52:15Z
dc.date.available2025-01-27T20:52:15Z
dc.date.issued2019
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractHelices curves are characterized by the property that their unit tangents maintain a constant inclination with respect to a fixed line, the axis of the helix. If a polynomial space curve is helical, it must be a Pythagorean-hodograph PH-curve. In this paper, a method for constructing PH-helices in 3-dimensional Euclidean space E-3 is proposed, based on a method given by IZUMIYA and TAKEUCHI [(9)] for helices and Bertrand curves in 3-dimensional Euclidean space. We show that the method is true for the polynomial space curves to be PH-helix if the planar curve is a polynomial curve. We also obtain all planar polynomial curve in E-3. We give a new method to construct PH-helices from planar polynomial curves.
dc.identifier.doi10.7546/CRABS.2019.03.03
dc.identifier.endpage308
dc.identifier.issn1310-1331
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85068530976
dc.identifier.scopusqualityQ3
dc.identifier.startpage301
dc.identifier.urihttps://doi.org/10.7546/CRABS.2019.03.03
dc.identifier.urihttps://hdl.handle.net/20.500.12428/25708
dc.identifier.volume72
dc.identifier.wosWOS:000467782100003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPubl House Bulgarian Acad Sci
dc.relation.ispartofComptes Rendus De L Academie Bulgare Des Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectPH-helix
dc.subjectplanar curve
dc.subjectpolynomial curve
dc.titleA NEW METHOD FOR CONSTRUCTION OF PH-HELICAL CURVES IN E3
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu