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undergraduate thesis
Kanonski oblik jednadžbe krivulja drugog reda
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Applied Mathematics and Informatics, 2023. urn:nbn:hr:126:698138
Jedlička, Marko
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Jedlička, M. (2023). Kanonski oblik jednadžbe krivulja drugog reda (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:698138

Jedlička, Marko. "Kanonski oblik jednadžbe krivulja drugog reda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:698138

Jedlička, Marko. "Kanonski oblik jednadžbe krivulja drugog reda." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:698138

Jedlička, M. (2023). 'Kanonski oblik jednadžbe krivulja drugog reda', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 01 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:698138

Jedlička M. Kanonski oblik jednadžbe krivulja drugog reda [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 December 01] Available at: https://urn.nsk.hr/urn:nbn:hr:126:698138

M. Jedlička, "Kanonski oblik jednadžbe krivulja drugog reda", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:698138

Metadata
TitleKanonski oblik jednadžbe krivulja drugog reda
Title (english)The Canonical Form Of The Second-Order Curve Equation
AuthorMarko Jedlička
MentorIvana Kuzmanović Ivičić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-07, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom završnom radu promatramo kanonski oblik jednadžbi krivulja drugog reda. U prvom poglavlju promatramo centralnu elipsu, kružnicu, hiperbolu i parabolu. Iz definicije i svojstava krivulja određujemo svakoj krivulji jednadžbu u kanonskom obliku s centrom u ishodištu koordinatnog sustava. U drugom poglavlju promatramo necentralne krivulje drugog reda. U prvom potpoglavlju promatramo kako translacija utječe na jednadžbu krivulje u kanonskom obliku, a zatim u drugom potpoglavlju promatramo kako rotacija utječe na kanonski oblik krivulja drugog reda. Na kraju poglavlja promatramo se opći oblik jednadžbe krivulje drugog reda svodi na kanoski oblik kroz primjere, koristeći rezultate iz prethodnih potpoglavlja.
Abstract (english)
In this final paper, we consider the canonical form of equations of second-order curves. In the first chapter, we look at the central ellipse, circle, hyperbola and parabola. From the definition and properties of curves, we determine for each curve an equation in canonical form with the center at the origin of the coordinate system. In the second chapter, we look at non-central curves of the second order. In the first sub chapter we observe how translation affects the equation of a curve in the canonical form, and then in the second sub chapter we observe how rotation affects the canonical form of second-order curves. At the end of the chapter, we observe the general form of the second-order curve equation reduced to the canonical form through examples, using the results from the previous sub chapter
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:698138
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 on2023-09-12 06:08:36