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undergraduate thesis
Trobridi krivulje u R3
2023. urn:nbn:hr:126:388364
Ferlin, Nives
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Ferlin, N. (2023). Trobridi krivulje u R3 (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:388364

Ferlin, Nives. "Trobridi krivulje u R3." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:388364

Ferlin, Nives. "Trobridi krivulje u R3." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:388364

Ferlin, N. (2023). 'Trobridi krivulje u R3', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 14 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:388364

Ferlin N. Trobridi krivulje u R3 [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 November 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:388364

N. Ferlin, "Trobridi krivulje u R3", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:388364

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Metadata
TitleTrobridi krivulje u R3
Title (english)Curve Frames In R3
AuthorNives Ferlin
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
Tema ovog rada su trobridi krivulje, tj. trojke vektorskih polja povezanih s krivuljom. Frenetov trobrid čini trojka tangencijalnog polja, normalnog polja i polja binormale te se može pridružiti bilo kojoj krivulji u prostoru, osim pravcu. Darbouxov trobrid pridružujemo krivuljama koje leže na plohi, te je osim uz krivulju, vezan i uz plohu na kojoj krivulja leži. Osim navedenih trobrida, u radu su predstavljene i specijalne krivulje čiji je vektor smjera zadani Darbouxov vektor. U radu su navedeni i odgovarajući primjeri koji ilustriraju danu teoriju.
Abstract (english)
The topic of this work is a curve frames, i.e. triples of vector fields associated with a curve. The Frenet frame consists of a tangent field, a normal field, and a binormal field, and it can be associated with any curve in space, except for a straight line. The Darboux frame is associated with curves lying on a surface and is linked not only to the curve, but also to the surface on which the curve lies. In addition to these frames, the work presents special curves whose direction vector is given by the Darboux vector. The provided theory is illustrated with corresponding examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:388364
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 on2023-11-06 09:28:07