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master's thesis
Sferna zakrivljenost krivulje
2024. urn:nbn:hr:126:164428
Cvijetović, Anđela
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Cvijetović, A. (2024). Sferna zakrivljenost krivulje (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:164428

Cvijetović, Anđela. "Sferna zakrivljenost krivulje." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:164428

Cvijetović, Anđela. "Sferna zakrivljenost krivulje." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:164428

Cvijetović, A. (2024). 'Sferna zakrivljenost krivulje', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 10 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:164428

Cvijetović A. Sferna zakrivljenost krivulje [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:164428

A. Cvijetović, "Sferna zakrivljenost krivulje", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:164428

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Metadata
TitleSferna zakrivljenost krivulje
Title (english)Spherical Curvature Of A Curve
AuthorAnđela Cvijetović
MentorLjiljana Primorac Gajčić (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberLjiljana Primorac Gajčić (član povjerenstva)
Committee memberJelena Jankov Pavlović (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-10-08, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
Tema ovog diplomskog rada jest sferna zakrivljenost krivulje. Središte, odnosno polumjer sferne zakrivljenosti definira se kao središte, odnosno polumjer oskulacijske sfere. U radu je proučavan lokus sferne zakrivljenosti krivulje, te su definirane veze između Freneteovih bridova lokusa i polazne krivulje. Specijalna pažnja posvećena je involutama i evolutama krivulje. Rad je potkrijepljen primjerima, čiji su grafički prikazi izrađeni su pomoću GeoGebre.
Abstract (english)
The topic of this work is spherical curvature of a curve. Center and radius of spherical curvature are defined as center and radius of osculating sphere. The study focuses on the locus of spherical curvature of a curve. Also we defined connections between Frenet frames of locus and original curve. Special attention is given to the involutes and evolutes of a curve. This work is supported by examples whose graphical representations were made by GeoGebra.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:164428
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-10-25 09:31:43