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

Published online by Cambridge University Press:  12 October 2022

Dario Pellegrinetti  and
Michael de Villiers
Dario Pellegrinetti
Affiliation:
Kirchstr. 16, 64283 Darmstadt, Germany e-mail: d.pellegrinetti@alumni.sssup.it
Michael de Villiers
Affiliation:
Mathematics Education (RUMEUS), Stellenbosch University, Private Bag XI, 7602 Matieland, South Africa e-mail: profmd@mweb.co.za
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Extract

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.

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 567 , November 2022 , pp. 400 - 407
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

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