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master's thesis
Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:680939
Kladić, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Kladić, I. (2019). Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:680939

Kladić, Ivana. "Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:680939

Kladić, Ivana. "Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:680939

Kladić, I. (2019). 'Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra', Master's thesis, University of Zagreb, Faculty of Science, accessed 21 June 2024, https://urn.nsk.hr/urn:nbn:hr:217:680939

Kladić I. Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 June 21] Available at: https://urn.nsk.hr/urn:nbn:hr:217:680939

I. Kladić, "Otkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:680939

Metadata
TitleOtkrivanje kolinearnosti karakterističnih točaka trokuta programom GeoGebra
AuthorIvana Kladić
MentorVjekoslav Kovač (mentor)
Committee memberMea Bombardelli (predsjednik povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberVanja Wagner (član povjerenstva)
Committee memberBoris Muha (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
U ovom diplomskom radu promatrali smo 20 karakterističnih točaka trokuta. Neke su više poznate kao što su središte upisane kružnice, težište, središte opisane kružnice te ortocentar, dok su druge nešto manje poznate. Potom smo te točke unijeli u radnu bilježnicu programa GeoGebra i na taj način vizualno detektirali potencijalne skupove međusobno kolinearnih točaka među njima. Jedan od pravaca na kojem leže neke od karakterističnih točaka trokuta je i čuveni Eulerov pravac. Na kraju smo uočene kolinearnosti rigorozno dokazali koristeći elementarne metode euklidske geometrije.
Abstract (english)
In this thesis we have discussed 20 triangle centers. Some of them are better known than the others, such as incenter, centroid, circumcenter and orthocenter. We than entered these centers into a GeoGebra workbook and that allowed us to visually detect potential sets of mutually collinear points among them. One of the lines that passes through some of the triangle centers is the famous Euler line. Finally, we have rigorously proved observed collinearities using elementary methods of Euclidean geometry.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:680939
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 on2020-07-03 11:36:54