June 2023 On the Pappus arrangement of lines, forth and back and to the point
Magdalena LAMPA-BACZYŃSKA, Daniel WÓJCIK
Author Affiliations +
Hokkaido Math. J. 52(2): 181-196 (June 2023). DOI: 10.14492/hokmj/2021-521

Abstract

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.

Funding Statement

ML-B was partially supported by National Science Centre, Poland, grant 2016/23/\linebreak N/ST1/01363

Acknowledgment

We would like to thank Piotr Pokora and Tomasz Szemberg for helpful remarks. We are also obliged to Grzegorz Malara for assistance with programming some symbolic computations.

Citation

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Magdalena LAMPA-BACZYŃSKA. Daniel WÓJCIK. "On the Pappus arrangement of lines, forth and back and to the point." Hokkaido Math. J. 52 (2) 181 - 196, June 2023. https://doi.org/10.14492/hokmj/2021-521

Information

Received: 1 April 2021; Revised: 16 October 2021; Published: June 2023
First available in Project Euclid: 9 July 2023

Digital Object Identifier: 10.14492/hokmj/2021-521

Subjects:
Primary: 14N20 , 32S22 , 52C35

Keywords: Arrangements of lines , combinatorial arrangements , Pappus Theorem

Rights: Copyright c 2023 Hokkaido University, Department of Mathematics

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Vol.52 • No. 2 • June 2023
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