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master's thesis
Sličnost i homotetija
2015. urn:nbn:hr:217:625344
Major Šomođi, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Cite this document

Major Šomođi, I. (2015). Sličnost i homotetija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:625344

Major Šomođi, Ivana. "Sličnost i homotetija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:625344

Major Šomođi, Ivana. "Sličnost i homotetija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:625344

Major Šomođi, I. (2015). 'Sličnost i homotetija', Master's thesis, University of Zagreb, Faculty of Science, accessed 14 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:625344

Major Šomođi I. Sličnost i homotetija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 April 14] Available at: https://urn.nsk.hr/urn:nbn:hr:217:625344

I. Major Šomođi, "Sličnost i homotetija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:625344

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Metadata
TitleSličnost i homotetija
AuthorIvana Major Šomođi
MentorSanja Varošanec (mentor)
Committee memberSanja Varošanec (predsjednik povjerenstva)
Committee memberBojan Basrak (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
Committee memberMladen Jurak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-07-10, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu obrađene su teme sličnost i homotetija kroz pet poglavlja. U prvom poglavlju definirana je izometrija i dokazani su poučci o sukladnosti trokuta. U drugom poglavlju definirana je sličnost i dokazani su poučci o sličnosti trokuta. U trećem poglavlju definirana je homotetija i dokazana su razna svojstva homotetije. U četvrtom poglavlju riješeni su konstruktivni zadaci iz školskih udžbenika. U petom poglavlju su iskazani i dokazani razni teoremi koji se pojavljuju u školskoj matematici, a koji su na neki način povezani sa sličnosti.
Abstract (english)
In this thesis we describe similarity and homothety. The first chapter is devoted to isometries and to theorems of congruent triangles. In the second chapter we define the similarity and demonstrate and prove theorems of similarity of triangles. A homothety and demonstrates various properties of it are given in the third chapter, while a sequence of constructive problems related to similarity are solved in the four chapter. Finally, the fifth chapter is devoted to theorems and other parts of mathematics curriculum which involve similarity.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:625344
Study programmeTitle: Mathematics and Computer Science Education; specializations in: Mathematics and Computer Science Education
Course: Mathematics and Computer Science Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-17 11:26:31