<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T01:08:39Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12218" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12218</identifier><datestamp>2026-10-18T20:27:08Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>ON GENERALIZED KINEMATICS WITH THE POLAR MOMENT OF INERTIA FOR THE HOMOTHETIC MOTIONS IN Cp</dc:title><dc:creator>Erişir, Tülay</dc:creator><dc:creator>Güngör, Mehmet Ali</dc:creator><dc:subject>generalized complex plane</dc:subject><dc:subject>Holditch type theorem</dc:subject><dc:subject>homothetic motion</dc:subject><dc:subject>polar moment of inertia</dc:subject><dc:description>In this study, the polar moments of inertia for the trajectories drawn by the non linear points are obtained during the one parameter planar homothetic motions in the generalized complex plane Cp. Then, we express the polar moment of inertia with respect to the Cauchy length formula. Moreover, for non linear three points we give new version of Holditch type theorem during the homothetic motions Cp. Consequently, we obtain some conclusions. © 2023 Asia Pacific Journal of Mathematics.</dc:description><dc:publisher>Asia Pacific Academic</dc:publisher><dc:date>2023</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12218</dc:identifier><dc:identifier>https://doi.org/10.28924/apjm/10-3</dc:identifier><dc:identifier>2357-2205</dc:identifier><dc:language>en</dc:language><dc:relation>Asia Pacific Journal of Mathematics</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12218</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>