konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Applied Mathematics (Other) Uygulamalı Matematik (Diğer) $ Q $-Frame Normal Parallel Curves in $ 3 $-Dimensional Euclidean Space Canbirdi Mevlüt Şeyh Edebali Üniversitesi Fen Fakültesi Matematik Bölümü https://orcid.org/0000-0003-4379-0252 Okuyucu Osman Zeki Bilecik Şeyh Edebali Üniversitesi Fen Fakültesi 04 30 2026 14 1 195 201 07 29 2025 01 20 2026 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

In this article, the parallel curve of a unit speed curve with respect to its quasi-frame in 3-dimensional Euclidean space is studied. The definition of the q -frame parallel curve based on the quasi-normal vector at a constant distance from the unit speed curve is provided. Accordingly, the frame elements of the q -frame normal parallel curve for the projection vectors k = (1,0,0) , k = (0,1,0) and k = (0,0,1) are given separately.

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