Potencijalni centri trokuta

master's thesis

• Title (english): Potential triangle centers
• Author: Lucija Kolanović
• Mentor: Vjekoslav Kovač (mentor)
• Committee member: Vjekoslav Kovač (predsjednik povjerenstva)
• Committee member: Igor Pažanin (član povjerenstva)
• Committee member: Mea Bombardelli (član povjerenstva)
• Committee member: Nenad Antonić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2022-11-07, 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: enciklopedija ETC; točka elektrostatskog potencijala; opća geometrijska relacija; iluminacijski centar
• Keywords (english): encyclopedia ETC; center of electrostatic potential; general geometric relations; illumination center
• Language: croatian
• URN:NBN: urn:nbn:hr:217:176658
• Study programme: Title: 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 resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-12-16 13:45:49