| dc.contributor.author | Maksimović, Miroslav | |
| dc.contributor.author | Jovanović, Tanja | |
| dc.contributor.author | Ljajko, Eugen | |
| dc.contributor.author | Ivanović, Milica | |
| dc.date.accessioned | 2022-10-25T07:59:23Z | |
| dc.date.available | 2022-10-25T07:59:23Z | |
| dc.identifier.citation | The first author was supported by the research project 174025 of the Serbian Ministry of Science. | en_US |
| dc.identifier.uri | https://platon.pr.ac.rs/handle/123456789/787 | |
| dc.description.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. | en_US |
| dc.language.iso | en_US | en_US |
| dc.title | Analysis of geodesics on different surfaces | en_US |
| dc.title.alternative | The University Thought - Publication in Natural Sciences | en_US |
| dc.type | clanak-u-casopisu | en_US |
| dc.description.version | publishedVersion | en_US |
| dc.identifier.doi | https://doi.org/10.5937/univtho10-20589 | |
| dc.citation.volume | 10 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 51 | |
| dc.citation.epage | 56 | |
| dc.subject.keywords | Geodesics | en_US |
| dc.subject.keywords | u- and v- parameter curve | en_US |
| dc.subject.keywords | Developable surface | en_US |
| dc.subject.keywords | Minimal surface | en_US |
| dc.type.mCategory | M53 | en_US |
| dc.type.mCategory | openAccess | en_US |
| dc.type.mCategory | M53 | en_US |
| dc.type.mCategory | openAccess | en_US |
