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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

Institutional repository: Repository of the Faculty of Science

Cite this document

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

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

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

Jaković, K. (2020). 'Odabrana poglavlja euklidske geometrije', Master's thesis, University of Zagreb, Faculty of Science, accessed 02 January 2025, https://urn.nsk.hr/urn:nbn:hr:217:277861

Jaković K. Odabrana poglavlja euklidske geometrije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2025 January 02] Available at: https://urn.nsk.hr/urn:nbn:hr:217:277861

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

Metadata
TitleOdabrana poglavlja euklidske geometrije
Title (english)Selected chapters of Euclidean geometry
AuthorKristina Jaković
MentorIvan Ivec (mentor)
Committee memberIvan Ivec (predsjednik povjerenstva)
Committee memberNenad Antonić (član povjerenstva)
Committee memberMarko Erceg (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-09-28, 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)
Languagecroatian
URN:NBNurn:nbn:hr:217:277861
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-02-25 13:38:06