A complete system of the shapes of triangles

In this paper we examine the shape of a triangle by means of a ternary operation which satisfies some properties. We prove that each system of the shapes of triangles can be obtained by means of the field with defined ternary operation. We give a geometric model of the shapes of triangles on the set...

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Permalink: http://skupni.nsk.hr/Record/nsk.NSK01001075549/Details
Matična publikacija: Glasnik matematički (Online)
54 (2019), 2 ; str. 409-420
Glavni autori: Volenec, Vladimir (Author), Kolar-Begović, Zdenka, Kolar-Šuper, Ružica
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.3336/gm.54.2.07
Glasnik matematički (Online)
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100 1 |a Volenec, Vladimir  |4 aut 
245 1 2 |a A complete system of the shapes of triangles  |h [Elektronička građa] /  |c Vladimir Volenec, Zdenka Kolar-Begović, Ružica Kolar-Šuper. 
504 |a Bibliografija: 7 jed. 
504 |a Abstract. 
520 |a In this paper we examine the shape of a triangle by means of a ternary operation which satisfies some properties. We prove that each system of the shapes of triangles can be obtained by means of the field with defined ternary operation. We give a geometric model of the shapes of triangles on the set of complex numbers which motivate us to introduce some geometric concepts. The concept of transfer is defined and some interesting properties are explored. By means of transfer the concept of a parallelogram is introduced. 
653 0 |a Oblik trokuta  |a Ternarna operacija 
700 1 |a Kolar-Begović, Zdenka  |4 aut 
700 1 |a Kolar-Šuper, Ružica  |4 aut 
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