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master's thesis
Caseyev teorem
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:920742
Naglaš, Adam
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Naglaš, A. (2019). Caseyev teorem (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:920742

Naglaš, Adam. "Caseyev teorem." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:920742

Naglaš, Adam. "Caseyev teorem." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:920742

Naglaš, A. (2019). 'Caseyev teorem', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:920742

Naglaš A. Caseyev teorem [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:920742

A. Naglaš, "Caseyev teorem", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:920742

Metadata
TitleCaseyev teorem
AuthorAdam Naglaš
MentorMea Bombardelli (mentor)
Committee memberMea Bombardelli (predsjednik povjerenstva)
Committee memberDalibor Paar (član povjerenstva)
Committee memberAndrej Dujella (član povjerenstva)
Committee memberZvonko Iljazović (član povjerenstva)
Committee memberMario Basletić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-02-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu bavimo se Caseyevim teoremom. U prvom poglavlju iskazujemo i dokazujemo Ptolomejev teorem kako bismo pobliže razumjeli Caseyev teorem, te definiramo osnovne pojmove koje koristimo kroz rad. U drugom poglavlju pažnju posvećujemo inverziji koja se koristi u dokazivanju Caseyevog teorema. U trećem poglavlju iskazujemo i dokazujemo Caseyev teorem na nekoliko načina i dokazujemo specijalne slučajeve Caseyevog teorema. Sami kraj rada posvećen je primjeni Caseyevog teorema u dokazivanju drugih teorema i u rješavanju geometrijskih zadataka.
Abstract (english)
In this graduate thesis we are dealing with Casey’s theorem. In the first chapter, we formulate and prove Ptolemy’s theorem to better understand Casey’s theorem, and define the basic terms we use through graduate thesis. In the second chapter, we dedicate to the inversion used to prove Casey’s theorem. In the third chapter, we phrase and prove Casey’s theorem in several ways and prove the special cases of Casey’s theorem. The end of the graduate thesis is dedicated to the application of Casey’s theorem in proving other theorems and in solving geometric problems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:920742
Study programmeTitle: Mathematics and Physics Education; specializations in: Mathematics and Physics Education
Course: Mathematics and Physics Education
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i fizike (magistar/magistra edukacije matematike i fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-08-30 11:55:35