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The Euler Circle
Andrijana Blažević (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Blažević, A. (2017). Eulerove kružnice (Undergraduate thesis). 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 21 November 2019, 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 2019 November 21] 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)
(Algebra and Calculus 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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-12-07 08:36:24