On The Parallel Ruled Surfaces With B-Darboux Frame

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Hagia Sophia Journal of Geometry
Volume:6 Issue:2
On The Parallel Ruled Surfaces With B-Darboux Frame

On The Parallel Ruled Surfaces With B-Darboux Frame

Authors : Mustafa Dede, Hatice Tozak, Cumali Ekici

Pages : 13-25

View : 83 | Download : 85

Publication Date : 2024-12-31

Article Type : Research Paper

Abstract :In this work, the geometric properties of parallel ruled surfaces associated with the B-Darboux frame (BDF) in $E% %TCIMACRO{\\\\U{b3}}% %BeginExpansion {{}^3}% %EndExpansion$ are introduced. Firstly, these surfaces are presented, and their main characteristic properties, such as developability, stress points and dispersion parameter, are analyzed. The paper presents a comprehensive analysis of how these surfaces are constructed and describes the conditions under which they preserve certain geometrical properties with the B-Darboux frame in Euclidean 3-space. These results contribute to a much better understanding of the theory of parallel ruled surfaces (PRS) with regard to the B-Darboux frame and provide insights into potential applications in various fields of geometry and mathematical modeling.
Keywords : Parallel ruled surface, Darboux frame, Surface

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