Results 21 to 30 of about 506,738 (227)

Spacelike Ruled Surface In Hyperbolic 3-Space

open access: yesCumhuriyet Science Journal, 2018
In this paper in Hyperbolic space , we study a spacelike ruled surfaces. A spacelike ruledsurface in is acquired by aspacelike geodesic moving along a spacelike curve.
Tuğba Mert
doaj   +1 more source

Offset Ruled Surface in Euclidean Space with Density

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj   +1 more source

Non-null slant ruled surfaces

open access: yesAIMS Mathematics, 2019
In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space $E_{1}^{3} $. We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in $E_{1}^{3} $.
Mehmet Önder
doaj   +1 more source

Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves

open access: yesCumhuriyet Science Journal, 2022
In this study, the ruled surface generated by the natural lift curve in IR^3 is obtained by using the isomorphism between unit dual sphere, DS^2 and the subset of the tangent bundle of unit 2-sphere, T\bar{M}. Then, exploitting E.
Emel Karaca
doaj   +1 more source

Principle and Method for Machining Face Gear with Developable Ruled Surface

open access: yesXibei Gongye Daxue Xuebao, 2020
The tooth surface of a face gear is recognized as un-developable ruled surface in tradition, which result in the problem that face gear generation using simple cutter with high efficiency and accuracy puzzled people for a long time.

doaj   +1 more source

Special non-lightlike ruled surfaces in Minkowski 3-space

open access: yesAIMS Mathematics, 2023
In this paper, we give the existence and uniqueness theorems for non-lightlike framed surfaces and define a special non-lightlike ruled surface in Minkowski 3-space. It may have singularities.
Chang Sun, Kaixin Yao , Donghe Pei
doaj   +1 more source

Bisector Surfaces Through A Common Line of Curvatures and Its Classifications

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space.
Muhammed Talat Sarıaydın
doaj   +1 more source

Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions

open access: yesAbstract and Applied Analysis, 2022
In this work, we introduce a time-like ruled surface in one-parameter hyperbolic dual spherical motions. This provides the ability to derive some formulae of surface theory into line spaces. Then, a time-like Plücker conoid associated with the motion has
Monia F. Naghi   +2 more
doaj   +1 more source

Surface family pair with Bertrand pair as mutual geodesic curves in Euclidean 3-space $ \mathbb{E}^{3} $

open access: yesAIMS Mathematics, 2023
The main interest of this work is to construct surface family pair with the symmetry of Bertrand pair in Euclidean 3-space $ \mathbb{E}^{3} $. Then, by employing the Serret-Frenet frame, we conclude the sufficient and necessary conditions of surface ...
Areej A. Almoneef , Rashad A. Abdel-Baky
doaj   +1 more source

Ruled algebraic surfaces with a main frame from three superellipses

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2022
An opportunity of conversion of algebraic surfaces with a main frame from three superellipses of general type into ruled surfaces of several views is shown. It is necessary to take one, two, or all of three superellipses in the form of a rhombus, i.e. it
Iraida A. Mamieva
doaj   +1 more source

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