A New Method For Construction Of Ph-Helical Curves In E-3

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dc.contributor.authorCamci, Cetin
dc.contributor.authorIlarslan, Kazim
dc.date.accessioned2020-06-25T18:34:33Z
dc.date.available2020-06-25T18:34:33Z
dc.date.issued2019
dc.departmentKırıkkale 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.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.7546/CRABS.2019.03.03
dc.identifier.endpage308en_US
dc.identifier.issn1310-1331
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85068530976
dc.identifier.scopusqualityQ3
dc.identifier.startpage301en_US
dc.identifier.urihttps://doi.org/10.7546/CRABS.2019.03.03
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7951
dc.identifier.volume72en_US
dc.identifier.wosWOS:000467782100003
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPubl House Bulgarian Acad Scien_US
dc.relation.ispartofComptes Rendus De L Academie Bulgare Des Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPH-helixen_US
dc.subjectplanar curveen_US
dc.subjectpolynomial curveen_US
dc.titleA New Method For Construction Of Ph-Helical Curves In E-3en_US
dc.typeArticle

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