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The areas of the trajectory surface under the Galilean motions in the Galilean space

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dc.contributor.authorAkbiyik, Mucahit
dc.contributor.authorYuce, Salim
dc.date.accessioned2026-06-27T14:13:01Z
dc.date.issued2018
dc.description.abstractIn the literature, Holditch theorem was obtained under periodic rotation and translation motions in [H. Holditch, Geometrical theorem, Q. J. Pure Appl. Math. 2 (1858) 38] or periodic shear and translation motions in [O. Roschel, Der satz von Holditch in der isotropen ebene. Abh. Braunschweig. Wiss. Ges. 36 (1984) 27-32]. In this paper, by introducing the projection of a vector onto a plane, scalar area, area vector of a surface, we investigate Holditch theorem under periodic rotation, translation and shear motions. We give two interpretations for the Holditch type theorem in Galilean space.en
dc.description.urihttps://doi.org/10.1142/s0219887818501621
dc.identifier.doi10.1142/s0219887818501621
dc.identifier.eissn1793-6977
dc.identifier.issn0219-8878
dc.identifier.issue9
dc.identifier.urihttps://hdl.handle.net/20.500.14981/58044
dc.identifier.volume15
dc.identifier.wos000446903700019
dc.language.isoeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartofINTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
dc.subjectHolditch theorem
dc.subjectarea of the trajectory surface
dc.subjectGalilean motion
dc.subjectprojection of a vector onto a plane
dc.subjectarea vector
dc.subjectHOMOTHETIC-MOTIONS
dc.subjectSTEINER FORMULA
dc.subjectVOLUME
dc.subjectPhysics
dc.titleThe areas of the trajectory surface under the Galilean motions in the Galilean space
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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