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master's thesis
Baricentričke koordinate 20 centara trokuta
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:220389
Ćaćić, Željka
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Ćaćić, Ž. (2017). Baricentričke koordinate 20 centara trokuta (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:220389

Ćaćić, Željka. "Baricentričke koordinate 20 centara trokuta." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:220389

Ćaćić, Željka. "Baricentričke koordinate 20 centara trokuta." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:220389

Ćaćić, Ž. (2017). 'Baricentričke koordinate 20 centara trokuta', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:220389

Ćaćić Ž. Baricentričke koordinate 20 centara trokuta [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:220389

Ž. Ćaćić, "Baricentričke koordinate 20 centara trokuta", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:220389

Metadata
TitleBaricentričke koordinate 20 centara trokuta
AuthorŽeljka Ćaćić
MentorVjekoslav Kovač (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
Committee memberBoris Guljaš (član povjerenstva)
Committee memberZvonko Iljazović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2017-02-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom su radu izvedene baricentričke koordinate 20 centara trokuta koji se nalaze u enciklopediji ETC, krenuvši od klasičnih karakterističnih točaka trokuta do nekih manje poznatih. Baricentričke koordinate određuju položaj proizvoljne točke u ravnini obzirom na trokut, a kako bi se one izračunale, korišteni su brojni teoremi i poučci o trokutu, od jednostavnijih, kao što su poučci o sličnosti i sukladnosti trokuta, pa do složenijih i manje poznatih poput primjerice Van Aubelovog teorema. Također, rad sadrži brojne slike za lakše praćenje dokaza, koje su sve izrađene programskim paketom GeoGebra.
Abstract (english)
In this thesis, barycentric coordinates of 20 triangle centers from the encyclopedia ETC are calculated, starting with the classical centers, and ending up with some less known ones. Barycentric coordinates determine the position of an arbitrary point in the plane with respect to the triangle, and in order to calculate them, numerous theorems and claims about a triangle were used, from the simple ones, like the theorems about congruence and similarity, to the more complex ones, like Van Aubel’s theorem. Moreover, the thesis contains numerous illustrations intended to aid reading of the proofs, which were all drawn using the program package GeoGebra.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:220389
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 on2017-04-20 10:05:54