Odabrana poglavlja euklidske geometrije

Jaković, Kristina

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master's thesis

Odabrana poglavlja euklidske geometrije

Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:277861

Jaković, Kristina

University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

APA 6th Edition

Jaković, K. (2020). Odabrana poglavlja euklidske geometrije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:277861

MLA 8th Edition

Jaković, Kristina. "Odabrana poglavlja euklidske geometrije." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:277861

Chicago 17th Edition

Jaković, Kristina. "Odabrana poglavlja euklidske geometrije." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:277861

Harvard

Jaković, K. (2020). 'Odabrana poglavlja euklidske geometrije', Master's thesis, University of Zagreb, Faculty of Science, accessed 25 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:277861

Vancouver

Jaković K. Odabrana poglavlja euklidske geometrije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 December 25] Available at: https://urn.nsk.hr/urn:nbn:hr:217:277861

IEEE

K. Jaković, "Odabrana poglavlja euklidske geometrije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:277861

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:277861

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Metadata

Title	Odabrana poglavlja euklidske geometrije
Title (english)	Selected chapters of Euclidean geometry
Author	Kristina Jaković
Mentor	Ivan Ivec (mentor)
Committee member	Ivan Ivec (predsjednik povjerenstva)
Committee member	Nenad Antonić (član povjerenstva)
Committee member	Marko Erceg (član povjerenstva)
Committee member	Siniša Slijepčević (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	Tema ovog diplomskog rada su geometrijske transformacije ravnine i njihova primjena. U prvom poglavlju nalazi se kratki povijesni pregled razvoja euklidske geometrije. Drugo poglavlje bavi se geometrijskim transformacijama ravnine, odnosno preslikavanjima ravnine. Sastoji se od šest potpoglavlja od kojih je u svakom definirana jedna trasformacija, navedena su i dokazana njena osnovna svojstva te prikazana primjena na dokazivanje teorema i rješavanje različitih zadataka. Redom su obrađene sljedeće tranformacije: translacija, centralna simetrija, osna simetrija, rotacija, homotetija i inverzija. Poseban naglasak stavljen je na homotetiju i inverziju.
Abstract (english)	This graduate thesis focuses on plane geometric transformations and their applications. First chapter is about historical development of Euclidean geometry. Next chapter is about plane geometric transformations. It consists of six subchapters. In every one of them one geometric transformation is defined and proofs of its basic properties are given. Also, for every geometric transformation, its applications to some interesting theorems and geometric problems are presented. Following transformations are analyzed: translation, symmetry with respect to a center, symmetry with respect to an axis, rotation, homothety and inversion, with main emphasis on homothety and inversion.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:217:277861
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
Terms of use
Repository	Repository of the Faculty of Science
Created on	2021-02-25 13:38:06