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undergraduate thesis
Bertrandove krivulje
2024. urn:nbn:hr:126:341284
Prljević, Ema
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Prljević, E. (2024). Bertrandove krivulje (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:341284

Prljević, Ema. "Bertrandove krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:341284

Prljević, Ema. "Bertrandove krivulje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:341284

Prljević, E. (2024). 'Bertrandove krivulje', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 22 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:341284

Prljević E. Bertrandove krivulje [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 December 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:341284

E. Prljević, "Bertrandove krivulje", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:341284

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Metadata
TitleBertrandove krivulje
Title (english)Bertrand Curves
AuthorEma Prljević
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovome radu upoznat ćemo se s Bertrandovim krivuljama, odnosno parovima krivulja s kolinearnim normalama. Definirani su osnovni pojmovi lokalne teorije krivulja u \(\mathbb{R}^{3}\), kao što su Frenetov trobrid i zakrivljenost i torzija krivulje. Bertrandovim krivuljama nazivamo krivulje čije su normale kolinearne, te se u radu bavimo nekim njihovim svojstvima. U radu su navedeni primjeri koji prate predstavljenu teoriju, te su neke od Bertrandovih krivulja prikazane grafički pomoću programa Wolfram Mathematica.
Abstract (english)
In this work we will learn about Bertrand curves, that is, curves with collinearity normals. The basic terms of the local theory of curves in \(\mathbb{R}^{3}\) , such as the pairs of Frenet frames and curvature and torsion of a curve, are defined. Bertrand curves are curves whose normals are collinear, and in this work we deal with some of their properties. The work contains examples that follow the presented theory, and some of the Bertrand curves are shown graphically by Wolfram Mathematica software .
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:341284
Study programmeTitle: University Bachelor of Mathematics (univ. bacc. math.)
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 on2024-10-07 11:01:39