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undergraduate thesis
Identifikacija krivulja drugog reda
2021. urn:nbn:hr:126:232681
Sipl, Lucija
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Sipl, L. (2021). Identifikacija krivulja drugog reda (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:232681

Sipl, Lucija. "Identifikacija krivulja drugog reda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:232681

Sipl, Lucija. "Identifikacija krivulja drugog reda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:232681

Sipl, L. (2021). 'Identifikacija krivulja drugog reda', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 07 April 2025, https://urn.nsk.hr/urn:nbn:hr:126:232681

Sipl L. Identifikacija krivulja drugog reda [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2025 April 07] Available at: https://urn.nsk.hr/urn:nbn:hr:126:232681

L. Sipl, "Identifikacija krivulja drugog reda", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:232681

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Metadata
TitleIdentifikacija krivulja drugog reda
Title (english)Identification of Second - Order Curves
AuthorLucija Sipl
MentorTomislav Marošević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2021-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Tema ovog završnog rada su krivulje drugog reda te njihova identifikacija pomoću kvadratnih formi. Za svaku osnovnu krivulju drugog reda dana je definicija te osnovna svojstva. Glavni dio ovog završnog rada je identifikacija osnovnih krivulja (elipse, hiperbole i parabole) i taj dio je popraćen primjerima s detaljnim rješenjima i grafičkim prikazima. Grafički prikazi su dobiveni u programu dinamične geometrije GeoGebra. Na kraju rada dani su i primjeri specijalnih slučajeva koji se mogu dobiti identifikacijom krivulja.
Abstract (english)
The topic of this final paper is second-order curves and their identification using square forms. For each basic second-order curve, a definition and basic properties are given. The main part of this final paper is the identification of the basic curves (ellipses, hyperbolas and parabolas) and is accompanied by examples with detailed solutions and graphical representations. Graphical representations obtained in the program of dynamic geometry GeoGebra. At the end of the paper, examples of special cases that can be obtained by identifying curves are also given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:232681
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 on2021-10-04 06:53:58