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undergraduate thesis
Van Aubelov teorem
2022. urn:nbn:hr:126:684511
Korpak, Martina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Korpak, M. (2022). Van Aubelov teorem (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:684511

Korpak, Martina. "Van Aubelov teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:684511

Korpak, Martina. "Van Aubelov teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:684511

Korpak, M. (2022). 'Van Aubelov teorem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 12 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:684511

Korpak M. Van Aubelov teorem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 November 12] Available at: https://urn.nsk.hr/urn:nbn:hr:126:684511

M. Korpak, "Van Aubelov teorem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:684511

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Metadata
TitleVan Aubelov teorem
Title (english)Van Aubel's Theorem
AuthorMartina Korpak
MentorZdenka Kolar-Begović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U radu ćemo razmatrati Van Aubelov teorem, poznatu tvrdnju iz geometrije ravnine. Prema Van Aubelovom teoremu središta nasuprotnih kvadrata konstruiranih nad stranicama četverokuta određuju okomite i sukladne dužine. U radu su razmatrane različite vrste dokaza teorema. Navedeni su i geometrijski interpretirani specijalni slučajevi ove tvrdnje. Istražene su i neke generalizacije Van Aubelovog teorema
Abstract (english)
In this paper we will consider Van Aubel’s theorem, a well-known statement from plane geometry. According to Van Aubel’s theorem, the line segments connecting the centers of squares constructed on the opposite sides of a quadrilateral are congruent and lie on perpendicular lines. We will present some different proofs of Van Aubel’s theorem. Some special cases of this statement are geometrically presented. Some generalizations of Van Aubel’s theorem are also investigated.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:684511
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-10-25 06:41:55