Glasnik matematički, Vol. 55 No. 2, 2020.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Cubic structure; TSM-quasigroup; corresponding points; associated points; tangential of a point
Hrčak ID:
248670
URI
Datum izdavanja:
23.12.2020.
Posjeta: 1.173 *