<?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>2026-10-19T01:07:08Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13273" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13273</identifier><datestamp>2026-10-18T20:41:20Z</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>Normal Direction Curves and Applications</dc:title><dc:creator>Kızıltuğ, Sezai</dc:creator><dc:creator>Önder, Mehmet</dc:creator><dc:creator>Yaylı, Yusuf</dc:creator><dc:subject>associated curve</dc:subject><dc:subject>normal-direction curve</dc:subject><dc:subject>normal-donor curve</dc:subject><dc:description>In this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction curves to some special curves such as helix, slant helix, plane curve or normal-direction (ND)-normal curves in E3. And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves. © 2021 Miskolc University Press</dc:description><dc:publisher>University of Miskolc</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/13273</dc:identifier><dc:identifier>https://doi.org/10.18514/mmn.2021.1476</dc:identifier><dc:identifier>1787-2405</dc:identifier><dc:language>en</dc:language><dc:relation>Miskolc Mathematical Notes</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/13273</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>