立方结构中的切线

Pub Date : 2020-12-23 DOI:10.3336/gm.55.2.10

V. Volenec, Z. Kolar-Begović, R. Kolar-Šuper

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引用次数: 1

摘要

本文研究一般立方结构中的几何概念。众所周知的三次曲线关系促使我们在一般的三次结构中引入新的概念。我们将定义一般三次结构中点的切线的概念，我们将研究高阶切线。利用相关的完全对称拟群给出了这一概念的刻画。我们将介绍三次结构中关联点和对应点的概念，并讨论相互不同的对应点的数量。所引入的几何概念的性质将在一般的立方结构中进行研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Tangentials in cubic structures

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.

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