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dc.contributor.author
Halbeisen, Lorenz
dc.contributor.author
Hungerbühler, Norbert
dc.date.accessioned
2017-12-05T11:50:59Z
dc.date.available
2017-10-06T04:43:23Z
dc.date.available
2017-10-10T17:24:31Z
dc.date.available
2017-12-05T11:50:59Z
dc.date.issued
2017-06
dc.identifier.other
10.1007/s13366-016-0327-1
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/192199
dc.identifier.doi
10.3929/ethz-b-000192199
dc.description.abstract
We investigate closed chains of conics which carry Poncelet triangles. In particular, we show that every chain of conics which carries Poncelet triangles can be closed. Furthermore, for k=3 and k=4 we show that there are closed chains of pairwise conjugate conics which carry Poncelet k-gons such that the contact points of each k-gon are the vertices of the next k-gon—such miraculous chains of conics do not exist for 5≤k≤23.
en_US
dc.format
application/pdf
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Conic sections
en_US
dc.subject
Poncelet theorem
en_US
dc.subject
Conjugate conics
en_US
dc.subject
Projective maps
en_US
dc.title
Closed chains of conics carrying poncelet triangles
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2017-01-18
ethz.journal.title
Beitrage zur Algebra und Geometrie
ethz.journal.volume
58
en_US
ethz.journal.issue
2
en_US
ethz.pages.start
277
en_US
ethz.pages.end
302
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.scopus
ethz.publication.place
Heidelberg
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
2017-10-06T04:43:30Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-10-10T17:24:38Z
ethz.rosetta.lastUpdated
2018-11-06T04:52:52Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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