Bulletin of Natural Sciences Research (Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Republic of Serbia.) • 01 Jan 2021

CURVES ON RULED SURFACES UNDER INFINITESIMAL BENDING

Najdanović, Marija • Maksimović, Miroslav • Velimirović, Ljubica

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.

Funding

Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/200123; 451-03-68/2020-14/200124]
Author: Najdanović, Marija • Maksimović, Miroslav • Velimirović, Ljubica
Issue: 1
Pages: 38- 43
ISSN: 2738-0971
doi: https://doi.org/10.5937/bnsr11-32015
M kategorija: M53
Vrsta rada:clanak u casopisu
Funding: Serbian Ministry of Education, Science and Technological Development [451-03-68/2020-14/200123; 451-03-68/2020-14/200124]

Keywords