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master's thesis
Elementarna geometrija pseudoeuklidske ravnine
2023. urn:nbn:hr:217:737765
Soljačić, Vinka
University of Zagreb
Faculty of Science
Department of Mathematics

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Soljačić, V. (2023). Elementarna geometrija pseudoeuklidske ravnine (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:737765

Soljačić, Vinka. "Elementarna geometrija pseudoeuklidske ravnine." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:737765

Soljačić, Vinka. "Elementarna geometrija pseudoeuklidske ravnine." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:737765

Soljačić, V. (2023). 'Elementarna geometrija pseudoeuklidske ravnine', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 January 2025, https://urn.nsk.hr/urn:nbn:hr:217:737765

Soljačić V. Elementarna geometrija pseudoeuklidske ravnine [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2025 January 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:737765

V. Soljačić, "Elementarna geometrija pseudoeuklidske ravnine", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:737765

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Metadata
TitleElementarna geometrija pseudoeuklidske ravnine
Title (english)Elementary geometry of the pseudo-Euclidean plane
AuthorVinka Soljačić
MentorŽeljka Milin Šipuš (mentor)
Committee memberŽeljka Milin Šipuš (predsjednik povjerenstva)
Committee memberMarko Tadić (član povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu promatramo pseudoeuklidsku ravninu ili Minkowskijevu ravninu. Ona je analogon euklidske ravnine s Lorentzovim skalarnim produktom. Za obje ravnine iznosimo elementarne pojmove, promatramo kružnice i pravce te iskazujemo i dokazujemo Pitagorin poučak i Talesov poučak o kutu nad promjerom kružnice. Za kraj donosimo tri aktivnosti kojima se učenicima srednje škole može približiti pseudoeuklidska ravnina.
Abstract (english)
In this thesis, we observe the pseudoeuclidean plane or the Minkowski plane. It is the analogue of the Euclidean plane with the Lorentz scalar product. For both planes, we present elementary notions, observe circles and lines, then state and prove Pythagoras’s theorem and Thales’s theorem on an inscribed angle spanned by the diameter of a circle. Finally, we present three activities that can help high school pupils get closer to the pseudoeuclidean plane.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:737765
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-02-05 14:33:20