ON THE VOLUME OF THE TRAJECTORY SURFACES UNDER THE HOMOTHETIC MOTIONS

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dc.authoridDuldul, Mustafa/0000-0002-7306-6006
dc.contributor.authorDuldul, M.
dc.contributor.authorKuruoglu, N.
dc.date.accessioned2025-03-23T19:47:58Z
dc.date.available2025-03-23T19:47:58Z
dc.date.issued2007
dc.departmentSinop Üniversitesi
dc.description.abstractThe volumes of the surfaces of 3-dimensional Euclidean Space which are traced by a fixed point as a trajectory surface during 3-parametric motions are given by H. R. Muller [3], [4], [5] and W. Blaschke [1]. In this paper, the volumes of the trajectory surfaces of fixed points under 3-parametric homothetic motions are computed. Also, using a certain pseudo-Euclidean metric we generalized the well-known classical Holditch Theorem, [2], to the trajectory surfaces.
dc.description.sponsorshipTUBITAK-BAYG
dc.description.sponsorshipThe author thanks TUBITAK-BAYG for their financial supports during his doctorate studies.
dc.identifier.endpage246
dc.identifier.issn0231-6986
dc.identifier.issn0862-9544
dc.identifier.issue2
dc.identifier.scopus2-s2.0-40849120170
dc.identifier.scopusqualityQ4
dc.identifier.startpage241
dc.identifier.urihttps://hdl.handle.net/11486/7466
dc.identifier.volume76
dc.identifier.wosWOS:000434723300013
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherComenius Univ
dc.relation.ispartofActa Mathematica Universitatis Comenianae
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjecthomothetic motion
dc.subjectHolditch theorem
dc.subjectvolume of trajectory surface
dc.titleON THE VOLUME OF THE TRAJECTORY SURFACES UNDER THE HOMOTHETIC MOTIONS
dc.typeArticle

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