Results 1 to 10 of about 4,861 (197)

Siacci's Theorem According to Darboux Frame [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane of the point
Ozen Kahraman Esen, Tosun Murat, Akyiğit Mahmut   +2 more
doaj   +2 more sources

Smarandache Ruled Surfaces according to Darboux Frame in E3

Journal of Mathematics, 2021
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 application in engineering, surface modeling, and architectural design.
Soukaina Ouarab
doaj   +2 more sources

Darboux Frame of Pancake Curve in Euclidean 3-Space

Cumhuriyet Science Journal
In this paper, we focus on a rare curve, “The pancake curve” which was named by Robert Ferréol. We investigate the Darboux frame of the curve, and we calculate the curvatures: geodesic curvature, normal curvature, and geodesic torsion.
Emre Öztürk
doaj   +3 more sources

Characterisation of cylindrical curves. [PDF]

Mon Hefte Math, 2015
We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular ...
Starostin EL, van der Heijden GH.
europepmc   +2 more sources

Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

Abstract and Applied Analysis, 2021
In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
doaj   +3 more sources

Embankment surfaces with the Darboux frame in Euclidean 3-space

AIMS Mathematics
This article was dedicated to the study of embankment, embankment-like, and tubembankment-like surfaces generated by a regular space curve according to the Darboux frame in Euclidean $ 3 $-space.
Erdem Kocakuşaklı
doaj   +2 more sources

Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space

International Journal of Analysis and Applications, 2019
In this paper, we study some special Smarandache curves and their differential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4.
M. Khalifa Saad, M. A. Abd-Rabo
doaj   +4 more sources

Sweeping surface due to rotation minimizing Darboux frame in Euclidean 3-space E³

AIMS Mathematics, 2023
In this paper, we address a new version of Darboux frame using a common tangent vector field to a surface along a curve and call this frame the rotation minimizing Darboux frame (RMDF).
Maryam T. Aldossary , Rashad A. Abdel-Baky   +1 more
doaj   +1 more source

Some Special Ruled Surfaces Generated by a Direction Curve according to the Darboux Frame and their Characterizations

Abstract and Applied Analysis, 2021
In this work, we consider the Darboux frame T,V,U of a curve lying on an arbitrary regular surface and we construct ruled surfaces having a base curve which is a V-direction curve.
Nidal Echabbi, Amina Ouazzani Chahdi
doaj   +1 more source

TUBULAR SURFACES WITH DARBOUX FRAME IN GALILEAN 3-SPACE [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, we define tubular surface by using a Darboux frame instead of a Frenet frame. Subsequently, we compute the Gaussian curvature and the mean curvature of the tubular surface with a Darboux frame. Moreover, we obtain some characterizations for special curves on this tubular surface in a Galilean 3-space.
Kızıltuğ, Sezai, Dede, Mustafa, Ekici, Cumali   +2 more
openaire   +2 more sources