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master's thesis
Taxicab geometrija
Zagreb: University of Zagreb, Faculty of Science, 2023. urn:nbn:hr:217:031684
Brdarić, Vinko
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Brdarić, V. (2023). Taxicab geometrija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:031684

Brdarić, Vinko. "Taxicab geometrija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:031684

Brdarić, Vinko. "Taxicab geometrija." Master's thesis, University of Zagreb, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:217:031684

Brdarić, V. (2023). 'Taxicab geometrija', Master's thesis, University of Zagreb, Faculty of Science, accessed 11 July 2024, https://urn.nsk.hr/urn:nbn:hr:217:031684

Brdarić V. Taxicab geometrija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2023 [cited 2024 July 11] Available at: https://urn.nsk.hr/urn:nbn:hr:217:031684

V. Brdarić, "Taxicab geometrija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:217:031684

Metadata
TitleTaxicab geometrija
Title (english)Taxicab geometry
AuthorVinko Brdarić
MentorSlaven Kožić (mentor)
Committee memberSlaven Kožić (predsjednik povjerenstva)
Committee memberAna Prlić (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2023-03-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ukratko, cilj ovog rada je proučavanje taxicab geometrije odnosno, preciznije, analiziranje kako razni geometrijski pojmovi izgledaju u taxicab geometriji. Glavni fokus je na razlikama između euklidske i taxicab geometrije. Započinjemo uvođenjem taxicab udaljenosti i uspoređivanjem s euklidskom udaljenosti. Zatim, obrađujemo različite slučajeve simetrale dužine u taxicab geometriji. Pokazujemo i razliku kruga i kružnice u euklidskoj i taxicab geometriji. Nakon toga prelazimo na elipse, hiperbole i parabole u euklidskoj i taxicab geometriji te na opisanu i upisanu kružnicu trokuta u taxicab geometriji. Konačno, bavimo se problemom prezentacije koncepta taxicab geometrije u okviru osnovnoškolske nastave matematike.
Abstract (english)
In short, the goal of this thesis is to study taxicab geometry, i.e., to analyze how various geometric objects look in taxicab geometry. The main focus is on the differences between Euclidean and taxicab geometry. We start by introducing the taxicab distance and comparing it with the Euclidean distance. Next, we consider various cases of segment bisectors in taxicab geometry. We also show the differences between circles in Euclidean and taxicab geometry. Next, we shift to ellipses, hyperbolas and parabolas in Euclidean and taxicab geometry and to the incircle and circumcircle of a triangle. Finally, we deal with the problem of presenting the concept of taxicab geometry in elementary school mathematics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:031684
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 on2023-03-23 13:27:07