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Variations of the Vecten configurations

Published online by Cambridge University Press:  20 June 2025

Hans Humenberger  and
Michael de Villiers
Hans Humenberger
Affiliation:
University of Vienna, Austria e-mail: hans.humenberger@univie.ac.at
Michael de Villiers
Affiliation:
University of Stellenbosch, South Africa e-mail: profmd1@mweb.co.za
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Extract

We present some less known variations of the the Vecten configuration and give purely geometric proofs for them. It is unlikely that these variations (and even proofs?) are new, probably just well-hidden in the literature. If a reader happens to know references for the variations discussed (or other geometric proofs), please let the authors know. At [1] the reader can find a dynamic webpage on our topic.

Type
Articles
Information
The Mathematical Gazette , Volume 109 , Issue 575 , July 2025 , pp. 265 - 272
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Copyright
© The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association

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References

de Villiers, M., Some variations of Vecten configuration (updated 2024), accessed January 2025 at http://dynamicmathematicslearning.com/vecten-variations.htmlGoogle Scholar
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https://www.cut-the-knot.org/Curriculum/Geometry/GeoGebra/PropertiesOfFlankTriangles.shtmlGoogle Scholar
Pellegrinetti, D. and de Villiers, M., Forgotten properties of the Van Aubel and bride’s chair configurations, Int. J. Geom. 10(3) (2021), pp. 5–10. https://ijgeometry.com/wp-content/uploads/2021/07/1.-5-10.pdf Google Scholar