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master's thesis
Nekoliko pristupa krivuljama drugog reda
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:479592
Govorko, Danica
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Govorko, D. (2019). Nekoliko pristupa krivuljama drugog reda (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:479592

Govorko, Danica. "Nekoliko pristupa krivuljama drugog reda." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:479592

Govorko, Danica. "Nekoliko pristupa krivuljama drugog reda." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:479592

Govorko, D. (2019). 'Nekoliko pristupa krivuljama drugog reda', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:479592

Govorko D. Nekoliko pristupa krivuljama drugog reda [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 December 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:479592

D. Govorko, "Nekoliko pristupa krivuljama drugog reda", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:479592

Metadata
TitleNekoliko pristupa krivuljama drugog reda
AuthorDanica Govorko
MentorSanja Varošanec (mentor)
Committee memberSanja Varošanec (predsjednik povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberSlaven Kožić (član povjerenstva)
Committee memberMarko Tadić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu bavimo se različitim pristupima krivuljama drugog reda. Na početku rada naveli smo metričke definicije elipse, hiperbole i parabole. Potom smo krivulje drugog reda definirali na još nekoliko načina: pomoću Papus-Boškovićeve definicije, algebarske definicije te kao presjek stožaste plohe ravninom. Dokazali smo da su navedene definicije ekvivalentne metričkoj definiciji svake od krivulja. U drugom dijelu rada naveli smo svojstva elipse, hiperbole i parabole te ih dokazali koordinatnom metodom. Prikazano je i nekoliko zadataka s matematičkih natjecanja te su odabrani zadatci riješeni koordinatnom metodom.
Abstract (english)
In this thesis, we considered different approaches to the second-order curves. In the first part of the thesis, we gave metric definitions of ellipse, hyperbola and parabola. Then we defined the second-order curves in several other ways using the Pappus-Bošković definition, the algebraic definition, and as intersection of a conical surface. We have proved that the above definitions are equivalent to the metric definition of each of the curves. In the second part of the thesis we stated the properties of an ellipse, hyperbola and parabola and proved them with coordinate method. We also presented several mathematical competitions problems and solved them with coordinate method.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:479592
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-01-24 12:56:20