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ON KINEMATICS FOR THE PMI DURING THE HOMOTHETIC MOTIONS IN ℂp

ArticleAçık Erişim

Özet

In this paper, the polar moments of inertia for the trajectories of the points have been obtained during the one parameter planar homothetic motions in the generalized complex plane Cp. Then, Holditch-type theorem that express the relationship among the polar moments of inertia of points has been given for homothetic motion in Cp. Moreover, the some geometric interpretations of the polar moment of inertia in physics have been expressed. So, this study is thought to be an interdisciplinary study that establishes a link between geometry and physics. © 2022 Asia Pacific Journal of Mathematics.

Anahtar Kelimeler

generalized complex planeHolditch-type theoremhomothetic motion, polar moment of inertia
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12525Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.28924/apjm/9-2Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorErişir, Tülay
dc.date.accessioned2026-10-18T20:27:25.224103460Z
dc.date.available2026-10-18T20:27:25.224103460Z
dc.date.issued2022
dc.description.abstractIn this paper, the polar moments of inertia for the trajectories of the points have been obtained during the one parameter planar homothetic motions in the generalized complex plane Cp. Then, Holditch-type theorem that express the relationship among the polar moments of inertia of points has been given for homothetic motion in Cp. Moreover, the some geometric interpretations of the polar moment of inertia in physics have been expressed. So, this study is thought to be an interdisciplinary study that establishes a link between geometry and physics. © 2022 Asia Pacific Journal of Mathematics.
dc.identifier.doi10.28924/apjm/9-2
dc.identifier.issn2357-2205
dc.identifier.scopus2-s2.0-85127447187
dc.identifier.startpage2
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12525
dc.identifier.volume9
dc.language.isoen
dc.publisherAsia Pacific Academic
dc.relation.ispartofAsia Pacific Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectgeneralized complex plane
dc.subjectHolditch-type theorem
dc.subjecthomothetic motion, polar moment of inertia
dc.titleON KINEMATICS FOR THE PMI DURING THE HOMOTHETIC MOTIONS IN ℂp
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.oa.statusgold
rdl.source.indexSCOPUS