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undergraduate thesis
Eulerove kružnice
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:361610
Blažević, Andrijana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Blažević, A. (2017). Eulerove kružnice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:361610

Blažević, Andrijana. "Eulerove kružnice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:361610

Blažević, Andrijana. "Eulerove kružnice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:361610

Blažević, A. (2017). 'Eulerove kružnice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 18 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:361610

Blažević A. Eulerove kružnice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 December 18] Available at: https://urn.nsk.hr/urn:nbn:hr:126:361610

A. Blažević, "Eulerove kružnice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:361610

Metadata
TitleEulerove kružnice
Title (english)The Euler Circle
AuthorAndrijana Blažević
MentorZdenka Kolar-Begović (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 country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom radu proučavana je jedna kružnica pridružena trokutu. Kružnica na kojoj leže polovišta stranica trokuta, nožišta visina te polovišta dužina kojima je jedna krajnja točka vrh trokuta, a druga ortocentar trokuta poznata je kao Eulerova kružnica ili kružnica devet točaka. Važna svojstva ove kružnice su istražena. Dokazana je i tvrdnja koja povezuje Eulerovu kružnicu, trokutu upisanu kružnicu i trokutu pripisane kružnice, poznati Feuerbachov teorem.
Abstract (english)
In this paper, a circle that is joined to the triangle is studied. The circle which passes through the mid-points of the sides of a triangle, the feett of the altitudes and the mid-points of the line segments from the orthocenter to the vertices of a triangle is called Euler circle or the nine-point circle. Some important characteristics of this circle are researched. The assertion that links Euler circle to the inscribed and escribed circles of a triangle was proved. It is well known Feuerbach’s theorem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:361610
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 on2017-12-07 08:36:24