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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.accessioned2026-06-27T13:08:30Z
dc.date.issued2009
dc.description.abstractThe Steiner formula and the Holditch Theorem for one-parameter closed planar Euclidean motions [1, 7] were expressed by H.R. Muller [9] under the one-parameter closed planar motions in the complex sense. In this paper, in analogy with complex motions as given by Muller [9], the Steiner formula and the mixture area formula are obtained under one parameter hyperbolic motions. Also Holditch theorems were expressed in the hyperbolic sense.en
dc.description.urihttps://doi.org/10.1007/s00006-008-0131-6
dc.identifier.doi10.1007/s00006-008-0131-6
dc.identifier.eissn1661-4909
dc.identifier.endpage160
dc.identifier.issn0188-7009
dc.identifier.issue1
dc.identifier.startpage155
dc.identifier.urihttps://hdl.handle.net/20.500.14981/50307
dc.identifier.volume19
dc.identifier.wos000263001400011
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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