prikaz prve stranice dokumenta Karakterizacije parabole
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master's thesis
Karakterizacije parabole
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:203812
Saratlija, Marko
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Saratlija, M. (2014). Karakterizacije parabole (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:203812

Saratlija, Marko. "Karakterizacije parabole." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:203812

Saratlija, Marko. "Karakterizacije parabole." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:203812

Saratlija, M. (2014). 'Karakterizacije parabole', Master's thesis, University of Zagreb, Faculty of Science, accessed 10 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:203812

Saratlija M. Karakterizacije parabole [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 July 10] Available at: https://urn.nsk.hr/urn:nbn:hr:217:203812

M. Saratlija, "Karakterizacije parabole", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:203812

Metadata
TitleKarakterizacije parabole
AuthorMarko Saratlija
MentorJuraj Šiftar (mentor)
Committee memberJuraj Šiftar (predsjednik povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
Committee memberVlado Volenec (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2014-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu iskazano je i dokazano desetak karakterizacija parabole. Za većinu tih svojstava dobro je poznato, čak i iz antičkih vremena, da ih parabola posjeduje, no manje je poznato da su ta svojstva medu ravninskim krivuljama karakteristična upravo za parabolu. Pritom parabolu promatramo kao graf diferencijabilne funkcije s određenim geometrijskim svojstvima. Stoga se u dokazima, uz geometrijska razmatranja, koriste i razni rezultati iz matematičke analize. Iskazane tvrdnje popraćene su nizom ilustracija koje uvelike olakšavaju razumijevanje sadržaja.
Abstract (english)
In this graduate thesis a dozen characterizations of parabola are presented and proven. For most of these properties it is well known, even from ancient times, that a parabola possesses them, but it is less known that these properties are characteristic among planar curves just for the parabola. The parabola is viewed as a graph of a differentiable function with specific geometric properties. Therefore, in proofs, along with geometric considerations, various results of mathematical analysis are used, too. Furthermore, our statements are accompanied by a series of illustrations that greatly facilitate understanding of the content.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:203812
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2019-02-06 13:52:20