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One-Parameter Homothetic Motions and Euler-Savary Formula in Generalized Complex Number Plane CJ

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dc.contributor.authorGurses, Nurten
dc.contributor.authorAkbiyik, Mucahit
dc.contributor.authorYuce, Salim
dc.date.accessioned2026-06-27T13:47:11Z
dc.date.issued2016
dc.description.abstractIn this paper, we introduce one-parameter homothetic motions in the generalized complex number plane (-complex plane) such that . The velocities, accelerations and pole points of the motion are analysed. Moreover, three generalized complex number planes, of which two are moving and the other one is fixed, are considered and a canonical relative system for one-parameter planar homothetic motion in is defined. Euler-Savary formula, which gives the relationship between the curvatures of trajectory curves, during the one-parameter homothetic motions, is obtained with the aim of this canonical relative system.en
dc.description.urihttps://doi.org/10.1007/s00006-015-0598-x
dc.identifier.doi10.1007/s00006-015-0598-x
dc.identifier.eissn1661-4909
dc.identifier.endpage136
dc.identifier.issn0188-7009
dc.identifier.issue1
dc.identifier.startpage115
dc.identifier.urihttps://hdl.handle.net/20.500.14981/54798
dc.identifier.volume26
dc.identifier.wos000370339300009
dc.language.isoeng
dc.publisherSPRINGER BASEL AG
dc.relation.ispartofADVANCES IN APPLIED CLIFFORD ALGEBRAS
dc.subjectGeneralized complex number plane
dc.subjectOne-parameter planar homothetic motion
dc.subjectKinematics
dc.subjectEuler-Savary formula
dc.subjectSPECIAL RELATIVITY
dc.subjectEQUATION
dc.subjectMathematics
dc.subjectPhysics
dc.titleOne-Parameter Homothetic Motions and Euler-Savary Formula in Generalized Complex Number Plane CJ
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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