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dc.contributor.authorMaksimović, Miroslav
dc.contributor.authorJovanović, Tanja
dc.contributor.authorLjajko, Eugen
dc.contributor.authorIvanović, Milica
dc.date.accessioned2022-10-25T07:59:23Z
dc.date.available2022-10-25T07:59:23Z
dc.identifier.citationThe first author was supported by the research project 174025 of the Serbian Ministry of Science.en_US
dc.identifier.urihttps://platon.pr.ac.rs/handle/123456789/787
dc.description.abstractIt 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.isoen_USen_US
dc.titleAnalysis of geodesics on different surfacesen_US
dc.title.alternativeThe University Thought - Publication in Natural Sciencesen_US
dc.typeclanak-u-casopisuen_US
dc.description.versionpublishedVersionen_US
dc.identifier.doihttps://doi.org/10.5937/univtho10-20589
dc.citation.volume10
dc.citation.issue1
dc.citation.spage51
dc.citation.epage56
dc.subject.keywordsGeodesicsen_US
dc.subject.keywordsu- and v- parameter curveen_US
dc.subject.keywordsDevelopable surfaceen_US
dc.subject.keywordsMinimal surfaceen_US
dc.type.mCategoryM53en_US
dc.type.mCategoryopenAccessen_US
dc.type.mCategoryM53en_US
dc.type.mCategoryopenAccessen_US


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