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undergraduate thesis
Vivianijev teorem
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:009850
Ždralović, Valentina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

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Ždralović, V. (2019). Vivianijev teorem (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:009850

Ždralović, Valentina. "Vivianijev teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:009850

Ždralović, Valentina. "Vivianijev teorem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:009850

Ždralović, V. (2019). 'Vivianijev teorem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 22 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:009850

Ždralović V. Vivianijev teorem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2025 January 22] Available at: https://urn.nsk.hr/urn:nbn:hr:126:009850

V. Ždralović, "Vivianijev teorem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:009850

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Metadata
TitleVivianijev teorem
Title (english)Viviani's Theorem
AuthorValentina Ždralović
MentorZdenka Kolar-Begović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2019-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Geometry and Topology
Abstract
U ovom završnom radu se razmatra tvrdnja poznata u literaturi kao Vivianijev teorem koji kaže da je u jednakostraničnom trokutu suma udaljenosti bilo koje točke trokuta od stranica trokuta neovisna o izboru točke i jednaka je visini tog trokuta. Dano je nekoliko različitih dokaza teorema te navedena poopćenja i prostorni analogon teorema.
Abstract (english)
In this paper, it is presented the statement known in the literature as Viviani’s theorem which says that in equilateral triangle the sum of the distances from any interior point to the sides of a triangle is independent of choosing the point. Some proofs of the theorem, the generalizations and the spatial analogue of the theorem are given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:009850
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
RepositoryRepository of School of Applied Mathematics and Informatics
Created on2019-10-31 08:35:14