An extension of the six-point circle theorem for a generalised Van Aubel configuration

Author:

Pellegrinetti Dario,de Villiers Michael

Abstract

We deal with an extension of the six-point circle theorem for the quadrilateral [1] when the Van Aubel configuration is generalised as in [2] and [3]: similar parallelograms are constructed, all internally or all externally, on the sides of a given quadrilateral.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Note concernant les centres des carrés construits sur les cotés d’un polygon quelconque;Van Aubel;Nouv. Corresp. Math.,1878

2. 6. van Tienhoven, C. , Encyclopedia of quadri-figures (EQF), available at https://www.chrisvantienhoven.nl/mathematics/encyclopedia

3. Generalising Van Aubel using duality;de Villiers;Mathematics Magazine,2000

4. Extensions of a theorem of Van Aubel;Silvester;Math. Gaz.,2006

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An associated result of the Van Aubel configuration and its generalization;International Journal of Mathematical Education in Science and Technology;2022-02-18

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