ISSN 2738-0971 | eISSN 2738-1013
Bulletin of Natural Sciences Research
Open access journal | Double-blind peer review

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
DOI 10.5937/bnsr11-32015 Original page Cite this article

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
CC BY-SA license

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