
Journal for Geometry and Graphics 24 (2020), No. 2, 257267 Copyright Heldermann Verlag 2020 Ruled Surface Generated by a Curve Lying on a Regular Surface and its Characterizations Soukaina Ouarab Dept. of Mathematics and Computer Science, Ben M’Sik Faculty of Sciences, Hassan II University, Casablanca, Morocco soukaina.ouarab.sma@gmail.com Amina Ouazzani Chahdi Dept. of Mathematics and Computer Science, Ben M’Sik Faculty of Sciences, Hassan II University, Casablanca, Morocco ouazzaniamina@hotmail.com Malika Izid Dept. of Mathematics and Computer Science, Ben M’Sik Faculty of Sciences, Hassan II University, Casablanca, Morocco izid.malika@gmail.com We construct and study special ruled surfaces, whose rulings are linear combinations of Darboux frame vectors of its base curve relative to an arbitrary regular surface in euclidean 3space. We give the relationship between both Darboux frames of the common curve relative to the two surfaces, and investigate different properties of the constructed ruled surface. Moreover, we presente three examples with illustrations in the real euclidean 3space. Keywords: Ruled surface, Darboux frame, striction curve, Gaussian curvature, mean curvature, Euclidean 3space. MSC: 53A05 [ Fulltextpdf (2778 KB)] 