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master's thesis
Opća svojstva konveksnog četverokuta
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:727802
Žužul, Marija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Žužul, M. (2019). Opća svojstva konveksnog četverokuta (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:727802

Žužul, Marija. "Opća svojstva konveksnog četverokuta." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:727802

Žužul, Marija. "Opća svojstva konveksnog četverokuta." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:727802

Žužul, M. (2019). 'Opća svojstva konveksnog četverokuta', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:727802

Žužul M. Opća svojstva konveksnog četverokuta [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 November 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:727802

M. Žužul, "Opća svojstva konveksnog četverokuta", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:727802

Metadata
TitleOpća svojstva konveksnog četverokuta
AuthorMarija Žužul
MentorMario Krnić (mentor)
MentorMea Bombardelli (sumentor)
Committee memberMario Krnić (predsjednik povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberZvonimir Bujanović (član povjerenstva)
Committee memberVedran Čačić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-11-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Na početku rada prisjećamo se osnovne podjele četverokuta, temeljnih pojmova i činjenica potrebnih za ostatak rada. U drugom poglavlju bavimo se Eulerovim teoremom koji je poopćenje relacije paralelograma, dajemo formulu za površinu općeg konveksnog četverokuta i proširenje Teorema o kosinusu. Dajemo i poopćenje dobro poznatog Ptolomejevog teorema. U trećem poglavlju definiramo težište i težišnice četverokuta, dajemo iskaz i dokaz Varignonovog teorema i njegove posljedice, te se bavimo drugim osobitim točkama u četverokutu.
Abstract (english)
At the beginning of the paper, we recall the basic classification of the quadrilateral, the basic concepts and facts needed for the rest of the paper. In the second chapter we deal with the Euler’s theorem which is a generalization of the relation of parallelograms, we give a formula for the surface of a general convex quadrilateral and an extension of the cosine theorem. We also give a generalization of the well-known Ptolemy’s theorem. In the third chapter, we define the centroids and the medians of the quadrilateral, give a statement and proof of Varignon’s theorem and its consequences, and deal with other significant points in the quadrilateral.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:727802
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 on2020-07-21 09:00:18