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master's thesis
Potencijalni centri trokuta
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:176658
Kolanović, Lucija
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Kolanović, L. (2022). Potencijalni centri trokuta (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:176658

Kolanović, Lucija. "Potencijalni centri trokuta." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:176658

Kolanović, Lucija. "Potencijalni centri trokuta." Master's thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:176658

Kolanović, L. (2022). 'Potencijalni centri trokuta', Master's thesis, University of Zagreb, Faculty of Science, accessed 16 May 2024, https://urn.nsk.hr/urn:nbn:hr:217:176658

Kolanović L. Potencijalni centri trokuta [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 May 16] Available at: https://urn.nsk.hr/urn:nbn:hr:217:176658

L. Kolanović, "Potencijalni centri trokuta", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:176658

Metadata
TitlePotencijalni centri trokuta
Title (english)Potential triangle centers
AuthorLucija Kolanović
MentorVjekoslav Kovač (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberIgor Pažanin (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberNenad Antonić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-11-07, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavani su potencijalni centri trokuta. Opisano je prvih 20 centara trokuta koje sadrži enciklopedija ETC. Zatim je opisana točka elektrostatskog potencijala te su izvedene zanimljive geometrijske relacije koje ona zadovoljava. Izvedena je i opća geometrijska relacija koju zadovoljavaju opći potencijali te je provedena specifikacija za iluminacijski centar. Na kraju je, na temelju izračunatih numeričkih podataka, korištena opcija pretraživanja enciklopedije ETC kako bi se utvrdilo sadrži li ona određene centre trokuta.
Abstract (english)
In this thesis, the potential triangle centers are presented. The first 20 centers of the triangle contained in the encyclopedia ETC are described. Next, the center of electrostatic potential is described and the geometric relations that it satisfies were derived. General geometric relations which are satisfied by general potentials are also deduced. The specification to the illumination center is implemented. Finally, based on calculated numerical data, the option of searching the encyclopedia ETC is used to determine whether it contains particular triangle centers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:176658
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 on2022-12-16 13:45:49