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

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

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.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematical gazette 2022-11, Vol.106 (567), p.400-407
Hauptverfasser: Pellegrinetti, Dario, de Villiers, Michael
Format: Artikel
Sprache:eng
Schlagworte:
Configurations
Parallelograms
Quadrilaterals
Theorems
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Beschreibung
Zusammenfassung: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.
ISSN:0025-5572
2056-6328
DOI:10.1017/mag.2022.112