Original scientific paper

https://doi.org/10.3336/gm.55.2.10

Tangentials in cubic structures

Vladimir Volenec ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, HR-10 000 Zagreb, Croatia
Zdenka Kolar-Begović ; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, HR-31 000 Osijek, Croatia
Ružica Kolar-Šuper ; Faculty of Education, University of Osijek, Cara Hadrijana 10, HR-31 000 Osijek, Croatia

Abstract

In this paper we study geometric concepts in a general cubic structure. The well-known relationships on the cubic curve motivate us to introduce new concepts into a general cubic structure. We will define the concept of the tangential of a point in a general cubic structure and we will study tangentials of higher-order. The characterization of this concept will be also given by means of the associated totally symmetric quasigroup. We will introduce the concept of associated and corresponding points in a cubic structure, and discuss the number of mutually different corresponding points. The properties of the introduced geometric concepts will be investigated in a general cubic structure.

Keywords

Cubic structure; TSM-quasigroup; corresponding points; associated points; tangential of a point

Hrčak ID:

248670

URI

https://hrcak.srce.hr/248670

Publication date:

23.12.2020.

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