Karakteristične točke trokuta

master's thesis

• Author: Anita Bingula
• Mentor: Maja Starčević (mentor)
• Committee member: Maja Starčević (predsjednik povjerenstva)
• Committee member: Eduard Marušić-Paloka (član povjerenstva)
• Committee member: Dijana Ilišević (član povjerenstva)
• Committee member: Mladen Jurak (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2015-09-24, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Trokut i njegove točke predstavljaju važan dio geometrije. To je razlog što raste broj poznatih točaka trokuta. U ovom diplomskom radu obrađene su četiri najpoznatije karakteristične točke trokuta, dane su njihove definicije, dokazi o postojanju tih točaka, grafički prikaz, položaj u ovisnosti o vrsti trokuta te njihova povezanost preko Eulerovog pravca. Obrađene su i druge manje poznate točke kao što su Brocardove točke, Napoleonove točke, Lemoineova točka i druge. Dane su njihove definicije,... More grafički prikaz, te neki teoremi vezani uz te točke. Less

Abstract (english)

Triangle and its points are important part of geometry. Because of that, a number of known triangle centers is increasing. This thesis discusses four most known triangle centers. Their definitions are given, so as proofs of existence of those points, graphical representation, location depending on the type of a given triangle, and connection through Euler line. Less known points such as Brocard points, Napoleon points, Lemoine points etc. are also discussed. Their definitions, graphical... More representation, and some theorems are given. Less

• Keywords: trokut; točke trokuta; karakteristične točke trokuta; specifične točke trokuta; Eulerov pravac
• Keywords (english): triangle; triangle points; triangle centers; Euler line
• Language: croatian
• URN:NBN: urn:nbn:hr:217:135005
• 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: Access restricted to students and staff of home institution
• Created on: 2017-05-25 12:21:44