Apsolutna geometrija

master's thesis

• Author: Tea Poturica
• Mentor: Zvonko Iljazović (mentor)
• Committee member: Zvonko Iljazović (predsjednik povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Committee member: Boris Guljaš (član povjerenstva)
• Committee member: Zrinka Franušić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2014-09-23, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Ovaj diplomski rad podijelili smo na tri poglavlja. Na početku ovog diplomskog rada definiraju se osnovni pojmovi kao što su binarna relacija i linearni uređaj. U prvom poglavlju smo definirali ravninu te proučili pojam P − ravnine. U drugom poglavlju smo se bavili pojmom metričke ravnine te smo proučili razna svojstva metričke ravnine te izometrije. U trećem poglavlju smo definirali apsolutnu ravninu te dokazali neke tvrdnje koje vrijede u apsolutnoj ravnini.

Abstract (english)

This diploma thesis is divided into three chapters. At the beginning of this diploma thesis we defined the basic concepts of binary relation and linear order. In the first chapter, we have defined a plane, and have studied the concept of P–planes. In the second chapter we have discussed the notion of metric plane, and we have studied various properties of metric planes and isometries. In the third chapter, we have defined the absolute plane and have proved some of the claims that are valid in the absolute plane.

• Keywords: P − ravnina; metrička ravnina; apsolutnu ravnina
• Keywords (english): P–planes; metric plane; absolute plane
• Language: croatian
• URN:NBN: urn:nbn:hr:217:660946
• 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: 2019-01-30 11:27:37