Journal for Geometry and Graphics 29 (2025), No. 1, 023--032
Copyright by the authors licensed under CC BY SA 4.0
Developability Conditions and Position Vectors of Ruled Surfaces According to the Darboux Frame in E3
Soukaina Ouarab
Faculty of Science and Technology, Hassan First University, Settat, Morocco, Faculty of Science and Technology, Hassan First University, Settat, Morocco
soukaina.ouarab.sma@gmail.com
We investigate the developability conditions of ruled surfaces in Euclidean 3-space according to the Darboux frame of an arbitrary regular surface along their common base curve. Moreover, the position vectors of such surfaces are found.
Keywords: Ruled surface, developable surface, position vector, Darboux frame, Euclidean 3-space.
MSC: 53M04; 53A05.
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