Izvorni znanstveni članak

https://doi.org/10.3336/gm.54.2.07

A complete system of the shapes of triangles

Vladimir Volenec ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, HR-10 000 Zagreb, Croatia
Zdenka Kolar-Begović orcid.org/0000-0001-8710-8628 ; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, HR-31 000 Osijek, Croatia
Ružica Kolar-Šuper orcid.org/0000-0002-8945-2745 ; Faculty of Education, University of Osijek, Cara Hadrijana 10, HR-31 000 Osijek, Croatia

Sažetak

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.

Ključne riječi

Shape of a triangle; ternary operation; transfer

Hrčak ID:

229604

URI

https://hrcak.srce.hr/229604

Datum izdavanja:

11.12.2019.

Posjeta: 1.633 *