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Vol. 10 No. 1 (2020)
Vol. 10 No. 1 (2020)

ANALYSIS OF GEODESICS ON DIFFERENT SURFACES

DOI: 10.5937/univtho10-20589
Miroslav Maksimović
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
Tanja Jovanović
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
Eugen Ljajko
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
Milica Ivanović
Faculty of Natural Sciences and Mathematics, University of Priština, Kosovska Mitrovica, Serbia
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Published

2020-06-30

Section

Original Scientific Paper

How to Cite

Maksimović, M., Jovanović, T., Ljajko, E., & Ivanović, M. (2020). ANALYSIS OF GEODESICS ON DIFFERENT SURFACES. Bulletin of Natural Sciences Research , 10(1), 51-56. https://doi.org/10.5937/univtho10-20589
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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.

Keywords

Geodesics
u- and v- parameter curve
Developable surface
Minimal surface
DOI: 10.5937/univtho10-20589

References

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