Browsing Eğitim Fakültesi by Author "Masal, M; Azak, AZ;"

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

Masal, Melek; A. Zeynep Azak (EUROPEAN JOURNAL PURE & APPLIED MATHEMATICS, 2015)

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 ...
Mannheim B-Curves in the Euclidean 3-Space E-3

Masal, Melek; Azak, Ayşe Zeynep (ACADEMIC PUBLICATION COUNCIL, 2017)

In 1878, Mannheim defined the notion of a Mannheim pair of curves and in 2008 Liu and Wang gave the necessary and sufficient condition for the Mannheim curves using the Frenet frame as a key ingredient. In this article we ...
Ruled Surfaces According to Bishop Frame in the Euclidean 3-Space

Masal, Melek; Azak, Ayşe Zeynep (NATL ACAD SCIENCES INDIA, 2019)

Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vector and Bishop vectors. Some properties with respect to developable and minimal and the relations between the integral ...
Ruled Surfaces According to Bishop Frame in the Euclidean 3-space

Masal, Melek; Azak, Ayşe Zeynep (2019)