关于帕普斯线的排列，前后和到点

IF 0.6 4区数学 Q3 MATHEMATICS Hokkaido Mathematical Journal Pub Date : 2020-03-29 DOI:10.14492/hokmj/2021-521

Magdalena Lampa-Baczy'nska, D. W'ojcik

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引用次数: 0

摘要

本文的目的是研究著名的$9$线的Pappus构形及其对偶排列。通过对对偶排列应用Pappus定理，我们得到了初始构型初始数据所对应的构型。我们还考虑了带有一些附加事件的Pappus排列，并建立了与这些事件平行的代数条件。

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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On the Pappus arrangement of lines, forth and back and to the point

The purpose of this paper is to study the famous Pappus configuration of $9$ lines and its dual arrangement. We show among others that by applying the Pappus Theorem to the dual arrangement we obtain the configuration corresponding to the initial data of beginning configuration. We consider also the Pappus arrangements with some additional incidences and we establish algebraic conditions paralleling with these incidences.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.