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master's thesis
Euklid
2016. urn:nbn:hr:126:508975
Matić, Marina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Matić, M. (2016). Euklid (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:508975

Matić, Marina. "Euklid." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:508975

Matić, Marina. "Euklid." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:508975

Matić, M. (2016). 'Euklid', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 March 2025, https://urn.nsk.hr/urn:nbn:hr:126:508975

Matić M. Euklid [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2025 March 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:508975

M. Matić, "Euklid", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:508975

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Metadata
TitleEuklid
AuthorMarina Matić
MentorIvan Matić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2016-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
Cilj ovog rada je upoznati se s nekim rezultatima iz Euklidovog djela Elementi. U prvom dijelu rada predstavili smo njegove aksiome i postulate te smo proučili njegovu verziju Pitagorinog poučka, kao i neke tvrdnje potrebne za dokaz tog teorema. To je bio sadržaj prve knjige Elemenata. Zatim smo pisali o drugoj knjizi i geometrijskoj algebri, te vidjeli bitne rezultate vezane uz rješavanje kvadratnih jednadžbi pomoću geometrije. Nakon toga smo, kroz treću i četvrtu knjigu, proučili propozicije koje govore o svojstvima kružnica i konstrukciji pravilnog peterokuta, čime je rad i završen.
Abstract (english)
The aim of this paper is to familiarize with some results from Euclid’s Elements. In the first part of the paper we presented his axioms and postulates and have studied his version of the Pythagorean theorem, as well as some things that are necessary to prove this theorem. This was the content of the first book Elements. Then we wrote about the second book and geometric algebra, and we saw significant results related to solving quadratic equations by using geometry. After that, through the third and fourth book, we studied propositions that speak of the properties of circles and construction of regular pentagon, and we completed work with this.
Keywords
Languagecroatian
URN:NBNurn:nbn:hr:126:508975
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and 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 on2016-09-21 06:10:32