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Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions

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dc.contributor.authorYuce, Salim
dc.contributor.authorKuruoglu, Nuri
dc.date.accessioned2026-06-27T12:52:18Z
dc.date.issued2010
dc.description.abstractThe Steiner formula and the Holditch Theorem for one-parameter closed planar Euclidean motions [1, 5] were expressed by Muller, under the one-parameter closed planar motions in the complex sense. Also, Muller had given Holditch theorem in the complex sense, [6]. In this paper, in analogy with Complex motions as given by Muller [6], the Steiner formula and the mixture area formula are obtained under one parameter hyperbolic motions. Also Holditch theorem was expressed in the hyperbolic sense.en
dc.description.urihttps://doi.org/10.1007/s00006-008-0130-7
dc.identifier.doi10.1007/s00006-008-0130-7
dc.identifier.eissn1661-4909
dc.identifier.endpage200
dc.identifier.issn0188-7009
dc.identifier.issue1
dc.identifier.startpage195
dc.identifier.urihttps://hdl.handle.net/20.500.14981/47679
dc.identifier.volume20
dc.identifier.wos000275459100016
dc.language.isoeng
dc.publisherSPRINGER BASEL AG
dc.relation.ispartofADVANCES IN APPLIED CLIFFORD ALGEBRAS
dc.subjectHolditch Theorem
dc.subjecthyperbolic motion
dc.subjecthyperbolic numbers
dc.subjectMathematics
dc.subjectPhysics
dc.titleHolditch Theorem and Steiner Formula for the Planar Hyperbolic Motions
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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