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master's thesis
Točke trokuta s ekstremalnim svojstvima
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:928891
Bradarić, Danka
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bradarić, D. (2022). Točke trokuta s ekstremalnim svojstvima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:928891

Bradarić, Danka. "Točke trokuta s ekstremalnim svojstvima." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:928891

Bradarić, Danka. "Točke trokuta s ekstremalnim svojstvima." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:928891

Bradarić, D. (2022). 'Točke trokuta s ekstremalnim svojstvima', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:928891

Bradarić D. Točke trokuta s ekstremalnim svojstvima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:928891

D. Bradarić, "Točke trokuta s ekstremalnim svojstvima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:928891

Metadata
TitleTočke trokuta s ekstremalnim svojstvima
Title (english)Points of a triangle with extremal properties
AuthorDanka Bradarić
MentorSanja Varošanec (mentor)
Committee memberSanja Varošanec (predsjednik povjerenstva)
Committee memberGoran Radunović (član povjerenstva)
Committee memberMarko Radulović (član povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom su diplomskom radu navedeni neki primjeri točaka trokuta za koje odredene funkcije postižu svoju minimalnu ili maksimalnu vrijednost. Tako su se ekstremi raznih funkcija postizali u četiri karakteristične točke trokuta - težištu, ortocentru, središtu upisane i opisane kružnice, ali i u drugim točkama trokuta koje nisu sastavni dio kurikuluma nastavnog predmeta Matematike u osnovnim i srednjim školama poput Fermat-Torricellijeve točke, Lemoineove točke te središta trokutu pripisanih kružnica. Te su točke u radu definirane te su navedena i dokazana neka njihova posebna svojstva.
Abstract (english)
In this thesis, some examples of triangle points for which certain functions reach their minimum or maximum value are given. Thus, it could be seen that the extremal values of various functions were reached in the four characteristic points of the triangle - the centroid, the orthocenter, the center of the inscribed and circumscribed circle, but also in other points of the triangle that are not an integral part of the curriculum of the subject of Mathematics in primary and secondary schools, such as the Fermat-Torricelli point, the Lemoine point and the excentres. These points were defined and some of their special properties were stated and proven.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:928891
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-10-24 12:12:46