Analitička geometrija u kompleksnoj ravnini

master's thesis

• Title (english): Analytical geometry in a complex plane
• Author: Antonija Matić
• Mentor: Mario Krnić (mentor)
• Mentor: Mea Bombardelli (sumentor)
• Committee member: Mario Krnić (predsjednik povjerenstva)
• Committee member: Mea Bombardelli (član povjerenstva)
• Committee member: Damir Bakić (član povjerenstva)
• Committee member: Igor Pažanin (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2020-09-28, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu dostupan je kratki pregled analitičke geometrije u kompleksnoj ravinini i tvrdnji vezanih uz osnovne elemente geometrije, poput segmenata, pravaca, trokuta i kružnica. Dobivene rezultate najčešće koristimo pri dokazima tvrdnji koje na prvi pogled imaju više povezanosti s elementarnom (euklidskom) geometrijom, no smještanje zadanih objekata u kompleksnu ravninu znatno olakšava dokaz.

Abstract (english)

In this thesis, a brief summary of analytic geometry in complex geometry is provided, along with statements regarding basic figures of geometry, such as segments, lines, triangles and circles. Most often, we use the obtained results in proving statements that we would usually relate to elementary (euclidean) geometry, but placing the given objects in complex plane makes the proof itself a whole lot easier.

• Keywords: analitička geometrija; segmenat; pravac; trokut; kružnica
• Keywords (english): analytic geometry; segments; lines; triangles; circles
• Language: croatian
• URN:NBN: urn:nbn:hr:217:476553
• 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: 2021-03-01 12:49:01