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master's thesis
Ptolomejev teorem - dokazi, posljedice i poopćenja
Zagreb: University of Zagreb, Faculty of Science, 2018. urn:nbn:hr:217:425004
Hršak, Sanja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Hršak, S. (2018). Ptolomejev teorem - dokazi, posljedice i poopćenja (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:425004

Hršak, Sanja. "Ptolomejev teorem - dokazi, posljedice i poopćenja." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:425004

Hršak, Sanja. "Ptolomejev teorem - dokazi, posljedice i poopćenja." Master's thesis, University of Zagreb, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:217:425004

Hršak, S. (2018). 'Ptolomejev teorem - dokazi, posljedice i poopćenja', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:425004

Hršak S. Ptolomejev teorem - dokazi, posljedice i poopćenja [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2018 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:425004

S. Hršak, "Ptolomejev teorem - dokazi, posljedice i poopćenja", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:217:425004

Metadata
TitlePtolomejev teorem - dokazi, posljedice i poopćenja
AuthorSanja Hršak
MentorMario Krnić (mentor)
Committee memberMario Krnić (predsjednik povjerenstva)
Committee memberMea Bombardelli (član povjerenstva)
Committee memberIvica Nakić (član povjerenstva)
Committee memberAleksandra Čižmešija (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2018-07-16, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu proučavamo Ptolomejev teorem i njegove inačice. Prvo, prikazujemo nekoliko različitih dokaza Ptolomejeva teorema. Nakon toga, pomoću Ptolomejeva teorema dokazujemo neke klasične teoreme iz elementarne geometrije, kao i nekoliko složenijih geometrijskih problema. Konačno, dajemo i nekoliko poopćenja Ptolomejeva teorema.
Abstract (english)
In this thesis we study Ptolemy's theorem and its variants. First we give several proof of Ptolemy's theorem. Then, we utilize the theorem for proving several classical theorems in elementary geometry. In addition, by virtue of Ptolemy's theorem we solve some complex geometric problems. Finally, we also study some generalizations of Ptolemy's theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:425004
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 on2019-04-26 13:36:56