CURVES ON RULED SURFACES UNDER INFINITESIMAL BENDING
Authors
Marija Najdanović
Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia
Miroslav Maksimović
Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia
Ljubica Velimirović
Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia
Keywords
Infinitesimal bending, Curve, Ruled surface, Cylinder, Hyperbolic paraboloid, Helicoid
Abstract
Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid are considered and appropriate bending fields are found. Some examples are graphically presented.
Published
2021/07/02
Issue
Vol. 11 No. 1 (2021)
Pages
38-43.
Section
Original Scientific Paper
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