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Author
Date
2023-08Type
- Journal Article
ETH Bibliography
yes
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Abstract
The five circles in the classical Pentagon theorem of Miquel are given as circumcircles of five certain triangles in the pentagon. If one chooses instead the circumcircles of five other triangles, one gets a different configuration of circles. This resulting configuration of circles carries three families of five concyclic quadruples of points. Together with the five circumcircles this gives a total of 20 circles. The radical axes of each two of these twenty circles are all concurrent. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000624481Publication status
publishedExternal links
Journal / series
Journal of GeometryVolume
Pages / Article No.
Publisher
SpringerSubject
Pentagon theorem; Möbius planeOrganisational unit
03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
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ETH Bibliography
yes
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