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undergraduate thesis
Familije krivulja na plohi
2024. urn:nbn:hr:126:540048
Skok Brkić, Sara
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Skok Brkić, S. (2024). Familije krivulja na plohi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:540048

Skok Brkić, Sara. "Familije krivulja na plohi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:540048

Skok Brkić, Sara. "Familije krivulja na plohi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:540048

Skok Brkić, S. (2024). 'Familije krivulja na plohi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 14 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:540048

Skok Brkić S. Familije krivulja na plohi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2025 February 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:540048

S. Skok Brkić, "Familije krivulja na plohi", 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:126:540048

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Metadata
TitleFamilije krivulja na plohi
Title (english)Families of Surface Curves
AuthorSara Skok Brkić
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
Geometry and Topology
Abstract
U ovom radu bavimo se familijama krivulja na plohi. Pokazat ćemo da familiju krivulja na plohi možemo dobiti kao rješenje diferencijalne jednadžbe te navesti geometrijsku važnost tangencijalnog vektora. Osim toga, definirat ćemo ortogonalne trajektorije, koje predstavljaju familije krivulja koje su okomite. Također su predstavljene dvostruke familije krivulja, koje za razliku od familija krivulja, dobivamo kao rješenja kvadratnih diferencijalnih jednadžbi.
Abstract (english)
In this paper, we deal with families of curves on the surface. We will show that we can obtain a family of curves on a surface as a solution to a differential equation and state the geometric importance of the tangential vector. In addition, we will define orthogonal trajectories, which represent families of orthogonal curves. Double families of curves are also presented, which, unlike families of curves, are obtained as solutions of quadratic differential equations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:540048
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 on2024-10-15 10:04:05