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Osječki matematički list, Vol. 19 No. 1, 2019.

Professional paper

Viviani’s theorem

Zdenka Kolar-Begović orcid id orcid.org/0000-0001-8710-8628 ; Odjel za matematiku i Fakultet za odgojne i obrazovne znanosti, Sveučilište u Osijeku, Osijek
Valentina Ždralović ; student;†Odjel za matematiku, Sveučilište u Osijeku, Osijek

Full text: croatian pdf 525 Kb

page 31-41

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Abstract

In this paper, we consider the statement known in the literature as Viviani’s theorem, which states that the sum of the distances from any point of an equilateral triangle to the sides of a triangle is equal to the height of that triangle. A number of proofs of the theorem are given, as well as generalizations and analogues of Viviani’s theorem.

Keywords

equilateral triangle; Viviani’s theorem; regular polygon; regular tetrahedron

Hrčak ID:

234340

URI

https://hrcak.srce.hr/234340

Publication date:

18.7.2019.

Article data in other languages: croatian

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