[HTML][HTML] Position vectors of slant helices in Euclidean 3-space

AT Ali - Journal of the Egyptian Mathematical Society, 2012 - Elsevier
In this paper, position vector of a slant helix with respect to standard frame in Euclidean
space E 3 is studied in terms of Frenet equations. First, a vector differential equation of third …

Smarandache Ruled Surfaces according to Darboux Frame in E3

S Ouarab - Journal of Mathematics, 2021 - Wiley Online Library
This paper presents a new approach of constructing special ruled surfaces and aims to
study their developability and minimalist conditions. Our concept opens opportunities for …

NC‐Smarandache Ruled Surface and NW‐Smarandache Ruled Surface according to Alternative Moving Frame in E3

S Ouarab - Journal of Mathematics, 2021 - Wiley Online Library
In this study, original definitions of NC− Smarandache ruled surface and NW− Smarandache
ruled surface according to the alternative moving frame are introduced in E3. The main …

[HTML][HTML] Ruled surfaces generated by some special curves in Euclidean 3-Space

AT Ali, HSA Aziz, AH Sorour - Journal of the Egyptian Mathematical Society, 2013 - Elsevier
In this paper, a family of ruled surfaces generated by some special curves using a Frenet
frame of that curves in Euclidean 3-space is investigated. Some important results are …

New special curves and their spherical indicatrices

AT Ali - arXiv preprint arXiv:0909.2390, 2009 - arxiv.org
In this paper, we define a new special curve in Euclidean 3-space which we call {\it $ k-$
slant helix} and introduce some characterizations for this curve. This notation is …

Special curves according to bishop frame in minkowski 3-space

MA Isah, MA Külahçı - Applied Mathematics and Nonlinear Sciences, 2020 - sciendo.com
Special Curves According to Bishop Frame in Minkowski 3-Space Blog English EnglishGerman
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[HTML][HTML] On curvatures and points of the translation surfaces in Euclidean 3-space

AT Ali, HSA Aziz, AH Sorour - Journal of the Egyptian Mathematical Society, 2015 - Elsevier
In this paper, translation surfaces generated by two arbitrary space curves in 3-dimensional
Euclidean space have been investigated. Furthermore, a classification of some special …

[PDF][PDF] Constant Ratio Curves According to Bishop Frame in Euclidean 3-Space E3

S Büyükkütük, G Oztürk - Gen, 2015 - researchgate.net
In the present paper, we consider a curve in Euclidean 3-space E3 as a curve whose
position vector can be written as linear combination of its Bishop frame. We characterize …

A study on null cartan curve in Minkowski 3-space

MA Isah, MA Külahcı - Applied Mathematics and Nonlinear Sciences, 2020 - sciendo.com
A study on null cartan curve in Minkowski 3-space Blog English EnglishGerman Sciendo Logo
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[PDF][PDF] A constant angle ruled surfaces

AT Ali - Int. J. Geom, 2018 - ijgeometry.com
In this paper, the constant angle ruled surfaces (CARSs) gen# erated by Frenet frame
(tangent, normal and binormal) vectors, in Euclidean 3# space are investigated. Also …