The lively siblings of the Pentagon theorem
dc.contributor.author
Hungerbühler, Norbert
dc.date.accessioned
2023-08-08T07:46:47Z
dc.date.available
2023-07-28T06:22:23Z
dc.date.available
2023-08-08T07:46:47Z
dc.date.issued
2023-08
dc.identifier.issn
0047-2468
dc.identifier.issn
1420-8997
dc.identifier.other
10.1007/s00022-023-00683-5
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/624481
dc.identifier.doi
10.3929/ethz-b-000624481
dc.description.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.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Pentagon theorem
en_US
dc.subject
Möbius plane
en_US
dc.title
The lively siblings of the Pentagon theorem
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2023-07-17
ethz.journal.title
Journal of Geometry
ethz.journal.volume
114
en_US
ethz.journal.issue
2
en_US
ethz.journal.abbreviated
J. Geom.
ethz.pages.start
20
en_US
ethz.size
8 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Cham
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
ethz.date.deposited
2023-07-28T06:22:23Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2023-08-08T07:46:48Z
ethz.rosetta.lastUpdated
2024-02-03T02:18:38Z
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true
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Journal Article [128972]