Frenet Apparatus of the Curves and Some Special Curves in the Euclidean 5-Space E-5

Masal, Melek; A. Zeynep Azak

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dc.contributor.authors	Masal, M; Azak, AZ;
dc.date.accessioned	2020-02-24T13:28:55Z
dc.date.available	2020-02-24T13:28:55Z
dc.date.issued	2015
dc.identifier.citation	Masal, M; Azak, AZ; (2015). Frenet Apparatus of the Curves and Some Special Curves in the Euclidean 5-Space E-5. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 8, 270-255
dc.identifier.issn	1307-5543
dc.identifier.uri	https://hdl.handle.net/20.500.12619/44150
dc.description.abstract	In this study, initially the geometric meanings of the curvatures of the curves parametrized with the arc length are given in E-5. This is followed by the calculation of the Frenet vectors and curvatures of any curve. After these, some results have been given for the state of evolute curve X being a W-curve and the Frenet vectors and curvatures of involute curve Y have been calculated in terms of Frenet vectors and curvatures of the curve X. At last, the differential equation of the spherical curves, the equation of the radius and the center of the osculating hyperspheres have been achieved in E-5.
dc.language	English
dc.publisher	EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS
dc.subject	Mathematics
dc.title	Frenet Apparatus of the Curves and Some Special Curves in the Euclidean 5-Space E-5
dc.type	Article
dc.identifier.volume	8
dc.identifier.startpage	255
dc.identifier.endpage	270
dc.contributor.department	Sakarya Üniversitesi/Eğitim Fakültesi/Matematik Ve Fen Bilimleri Eğitimi Bölümü
dc.contributor.saüauthor	Masal, Melek
dc.relation.journal	EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
dc.identifier.wos	WOS:000369940100008
dc.contributor.author	Masal, Melek
dc.contributor.author	A. Zeynep Azak