Posebne točke trokuta

master's thesis

• Title (english): Characteristic points of a triangle
• Author: Kristina Radovan
• Mentor: Matija Bašić (mentor)
• Committee member: Matija Bašić (predsjednik povjerenstva)
• Committee member: Dražen Adamović (član povjerenstva)
• Committee member: Veronika Pedić Tomić (član povjerenstva)
• Committee member: Hrvoje Planinić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2024-09-26, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu prikazali smo nekoliko posebnih točaka trokuta. Osim najpoznatije četiri karakteristične točke trokuta, obradili smo još mnoge zanimljive točke kao što su središte kružnice devet točaka, Lemoineova, Fermat-Torricellijeva, Brocardova, prva i druga Napoleonova i Jacobijeva točka te smo proučavali neka njihova svojstva.

Abstract (english)

In this thesis, we have described several special points of the triangle. In addition to the most famous four characteristic points of the triangle, we covered many other interesting points such as the center of the circle of nine points, Lemoine's, Fermat-Torricelli's, Brocard's, the first and second Napoleon's and Jacobi's points and we studied some of their properties.

• Keywords: posebne točke trokuta; Lemoineova točka; Fermat-Torricellijeva točka; Brocardova točka; Napoleonova točka; Jacobijeva točka
• Keywords (english): characteristic points of the triangle; Lemoine's point; Fermat-Torricelli's point; Brocard's point; Napoleon's point; Jacobi's point
• Language: croatian
• URN:NBN: urn:nbn:hr:217:036803
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-12-17 09:22:44