Construction and analysis of the quasi-ruled surfaces based on the quasi-focal curves in $ \mathbb{R}^{3} $

Construction and analysis of the quasi-ruled surfaces based on the quasi-focal curves in $ \mathbb{R}^{3} $

This paper presents the concept of a quasi-ruled surface, which is a ruled surface generated by a base curve and a ruling, both of which are defined by the quasi-frame (q-frame). This study begins with the original curve defined by the q-frame, and then we focus on the focal curve of the original cu...

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Bibliographic Details
Main Authors: Samah Gaber, Asmahan Essa Alajyan, Adel H. Sorour
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
focal curves
ruled surfaces
q-frame
quasi-focal curve
osculating type of quasi-ruled surface
rectifying type of quasi-ruled surface
quasi-tangent developable surface
quasi-principal normal ruled surface
quasi-binormal ruled surface
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025258
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https://www.aimspress.com/article/doi/10.3934/math.2025258

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