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Viviani's Theorem
Valentina Ždralović (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group
Cite this document

Ždralović, V. (2019). Vivianijev teorem (Undergraduate thesis). 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 26 January 2020, 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 2020 January 26] 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)
(Applied Mathematics 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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-10-31 08:35:14