Glasnik matematički, Vol. 54 No. 2, 2019.
Original scientific paper
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
Abstract
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.
Keywords
Shape of a triangle; ternary operation; transfer
Hrčak ID:
229604
URI
Publication date:
11.12.2019.
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