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undergraduate thesis
Krivulje konstantnog nagiba
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:737934
Marković, Barbara
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Marković, B. (2022). Krivulje konstantnog nagiba (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:737934

Marković, Barbara. "Krivulje konstantnog nagiba." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:737934

Marković, Barbara. "Krivulje konstantnog nagiba." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:737934

Marković, B. (2022). 'Krivulje konstantnog nagiba', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:737934

Marković B. Krivulje konstantnog nagiba [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 November 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:737934

B. Marković, "Krivulje konstantnog nagiba", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:737934

Metadata
TitleKrivulje konstantnog nagiba
Title (english)Curves of Constant Slope
AuthorBarbara Marković
MentorLjiljana Primorac Gajčić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-03-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U radu je razmatran pojam krivulje konstantnog nagiba, tj. krivulje čiji tangencijalni vektor zatvara konstantan kut s jediničnim fiksnim vektorom. Takve krivulje leže na cilindričnoj plohi i s izvodnicama plohe zatvaraju konstantan kut, te kažemo da su one izogonalne trajektorije izvodnica cilindrične plohe. Dana je karakterizacija takvih krivulja te su promatrana njihova geometrijska svojstva. Navedeni su i osnovni pojmovi iz lokalne teorije krivulja poput Frenetovog trobrida i zakrivljenosti, odnosno torzije krivulje, potrebni za razumijevanje ovog rada.
Abstract (english)
In this work, we consider curves of constant slope, i.e. curves whose tangent vector makes a constant angle with a fixed unit vector. Such curves lay on a cilindrical surface and make constant angle with rulings of the surface, so we called them the isogonal trajectories of a cylindrical surface. Their characterization and some geometric properties are introduced in the work. The basic concepts in local theory of curves, such as Frenet frame, curvature and torsion of a curve, needed for comprehension of this work are also presented.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:737934
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
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Created on2022-06-03 07:30:06