prikaz prve stranice dokumenta Geodetske krivulje
  Download
PDF 6.1 MB
undergraduate thesis
Geodetske krivulje
2021. urn:nbn:hr:126:479069
Pavlečić, Marina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Cite this document

Pavlečić, M. (2021). Geodetske krivulje (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:479069

Pavlečić, Marina. "Geodetske krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:479069

Pavlečić, Marina. "Geodetske krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:479069

Pavlečić, M. (2021). 'Geodetske krivulje', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:479069

Pavlečić M. Geodetske krivulje [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 December 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:479069

M. Pavlečić, "Geodetske krivulje", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:479069

Please login to the repository to save this object to your list.
Metadata
TitleGeodetske krivulje
Title (english)Geodetic Curves
AuthorMarina Pavlečić
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom radu upoznat ćemo se sa specijalnim krivuljama na plohi-geodetskim krivuljama. Takve krivulje promatramo pomoću specijalnog trobrida krivulja na plohi, a karakterizirane su s iščezavajućom geodetskom zakrivljenošću. Geodetske krivulje geometrijski predstavljaju najkraću spojnicu između dviju točaka na plohi i iz tog razloga se smatraju i poopćenjem pravca na plohi. U radu su analizirana njihova geometrijska svojstva i dane su diferencijalne jednadžbe koje ih određuju. Predstavljena je i specijalna parametrizacija plohe, parametrizacija geodetskim koordinatama. U radu su, primjenom navedene teorije, određene geodetske krivulje na sferi, odnosno cilindru.
Abstract (english)
In this final paper we analyze special curves on a surface-geodesic curves. Such curves are analyzed by usage of a special frame for a curve on a surface and they are characterized by a vanishing geodesic curvature. Geodesic curves geometrically represent the shortest path between two points on a surface and therefore, they are considered as generalization of a straight line on surface. In this work we analyze their geometric properties and give differential equations that determine geodesic curve. We also present a special parametrization of a surface, the parametrization with geodesic coordinates. Finally, by usage of presented theory, we determine geodesic curves on a sphere, respectively cylinder.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:479069
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-10-25 08:18:13