Ivory's Theorem states that in each curvilinear quadrangle of a confocal net of conics the two diagonals have the same lengths. This theorem is valid not only in the Euclidean plane, but also in planar hyperbolic, spherical and pseudo-Euclidean (or Minkowski) geometry, and similar statements hold in all dimensions. Recent publications on this theorem and its generalizations on surfaces are the reason to focus again on this topic and to show a few algebraic consequences.
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dc.language.iso
en
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dc.publisher
University of Belgrade
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dc.relation.ispartof
FME Transactions
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dc.subject
Mechanical Engineering
en
dc.subject
Mechanics of Materials
en
dc.title
Recalling Ivory's Theorem
en
dc.type
Artikel
de
dc.type
Article
en
dc.description.startpage
355
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dc.description.endpage
359
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dc.type.category
Original Research Article
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tuw.container.volume
47
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tuw.container.issue
2
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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tuw.researchTopic.id
C3
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tuw.researchTopic.name
Computational System Design
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
FME Transactions
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tuw.publication.orgunit
E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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tuw.publisher.doi
10.5937/fmet1902355s
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dc.identifier.eissn
2406-128X
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dc.description.numberOfPages
5
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Diskrete Mathematik und Geometrie
de
wb.facultyfocus
Discrete Mathematics and Geometry
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wb.facultyfocus.faculty
E100
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no Fulltext
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http://purl.org/coar/resource_type/c_2df8fbb1
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en
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E104 - Institut für Diskrete Mathematik und Geometrie
