ANALYSIS OF GEODESICS ON DIFFERENT SURFACES
Authors
Miroslav Maksimović
Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia
Tanja Jovanović
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
Eugen Ljajko
Faculty of Sciences, University in Priština – Kosovska Mitrovica, Kosovska Mitrovica, Serbia
Milica Ivanović
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
Keywords
Geodesics, u- and v- parameter curve, Developable surface, Minimal surface
Abstract
It is widely known that some surfaces contain special curves as a geodesics, while a lots of geodesics on surface have complicated shapes. Goal of this research is to find on what surfaces are u- and v- parameter curves geodesics. Developable surfaces that contain a given plane curve as a geodesic are studied in the article, whereas the plane curve is also an initial u-parameter curve on that surface. Parametric equations of the minimal surfaces that contain an epicycloid as a geodesic are also given. Visualization of geodesics was done in Mathematica.
Published
2020/06/30
Issue
Vol. 10 No. 1 (2020)
Pages
51-56.
Section
Original Scientific Paper
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