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dc.contributor.author
Schiltknecht, Marco
dc.contributor.supervisor
Hungerbühler, Norbert
dc.date.accessioned
2021-08-06T13:28:12Z
dc.date.available
2021-08-06T12:46:28Z
dc.date.available
2021-08-06T13:28:12Z
dc.date.issued
2021
dc.identifier.uri
http://hdl.handle.net/20.500.11850/499919
dc.identifier.doi
10.3929/ethz-b-000499919
dc.description.abstract
We show that the Butterfly Porism about cyclic quadrilaterals also applies to a degenerate case of a conic. Moreover, we prove that the collinearity used in this theorem is a necessary condition and we give an alternative proof for Pappus’s Hexagon Theorem. The main result is a reversion porism for polygons with an arbitrary number of vertices on two distinct lines. We define a polar line for a degenerate case of a conic and present a conjugated reversion porism. Lastly, we consider reversions on more than two lines.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
ETH Zurich
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Geometry
en_US
dc.subject
Mathematics
en_US
dc.subject
Conics
en_US
dc.subject
Pappus theorem
en_US
dc.title
Reversion Porisms for Lines
en_US
dc.type
Master Thesis
dc.rights.license
In Copyright - Non-Commercial Use Permitted
ethz.size
70 p.
en_US
ethz.code.ddc
DDC - DDC::5 - Science::510 - Mathematics
en_US
ethz.publication.place
Zurich
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
en_US
ethz.date.deposited
2021-08-06T12:46:33Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-08-06T13:28:18Z
ethz.rosetta.lastUpdated
2022-03-29T10:58:41Z
ethz.rosetta.versionExported
true
ethz.COinS
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