Vivianijev teorem

Ždralović, Valentina

undergraduate thesis

Vivianijev teorem

Ždralović, Valentina (2019)

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group

Cite this document

APA 6th Edition

Ždralović, V. (2019). Vivianijev teorem (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:009850

MLA 8th Edition

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

Chicago 17th Edition

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

Harvard

Ždralović, V. (2019). 'Vivianijev teorem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 14 July 2020, https://urn.nsk.hr/urn:nbn:hr:126:009850

Vancouver

Ždralović V. Vivianijev teorem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2020 July 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:009850

IEEE

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

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:009850

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Metadata

Title	Vivianijev teorem
Title (english)	Viviani's Theorem
Author	Valentina Ždralović
Mentor	Zdenka Kolar-Begović (mentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics) (Applied Mathematics Research Group) Osijek
Defense date and country	2019-09-30, 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)
Language	croatian
URN:NBN	urn:nbn:hr:126:009850
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2019-10-31 08:35:14