Results 1 to 10 of about 11,710 (214)
A New Approach to Rotational Weingarten Surfaces
Mathematics, 2022 Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface.
Paula Carretero, Ildefonso Castro
doaj +1 more source
Some New Results of Revolution Surfaces in Euclidean 3-Space E3 [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 In this paper, a new technique to study some characteristic properties of revolution surfaces in Euclidean 3-space . We construct and obtain the necessary conditions of Weingarten, linear Weingarten, bi-conservative, harmonic, bi-harmonic and stability ...
Mohamed Soliman +2 more
doaj +1 more source
Determination of intersecting curve between two surfaces of revolution with parallel axes by use of auxiliary planes and auxiliary spheres [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2002 In this paper the space intersecting curve between two surfaces of revolution with parallel axes of surfaces have been determined. Two mathematical models for determination of intersecting curve between two surfaces of revolution have been formed ...
Obradović Ratko
doaj +1 more source
Classification of Surfaces of Coordinate Finite Type in the Lorentz–Minkowski 3-Space
Axioms, 2022 In this paper, we define surfaces of revolution without parabolic points in three-dimensional Lorentz–Minkowski space. Then, we classify this class of surfaces under the condition ΔIIIx=Ax, where ΔIII is the Laplace operator regarding the third ...
Hassan Al-Zoubi +3 more
doaj +1 more source
On the Affine Image of a Rational Surface of Revolution
Mathematics, 2020 We study the properties of the image of a rational surface of revolution under a nonsingular affine mapping. We prove that this image has a notable property, namely that all the affine normal lines, a concept that appears in the context of affine ...
Juan G. Alcázar
doaj +1 more source
Axioms, 2022 In this paper, appropriate Lp bounds for particular classes of parabolic Marcinkiewicz integrals along surfaces of revolution on product spaces are obtained.
Mohammed Ali, Hussain Al-Qassem
doaj +1 more source
The Linear Elliptic - Surfaces of Revolution
Communications, 2007 The paper presents a category of revolution surfaces which may be generated by the metrical Euclidean transformation compounded by revolutions and displacements.
Tatiana Olejnikova
doaj +1 more source
DEVELOPMENT OF SOME REVOLUTION SURFACES
Journal of Industrial Design and Engineering Graphics, 2015 The paper work proposes practical graphic methods provided by Descriptive Geometry to plot the development of two revolution surfaces: the revolution surface having an oval as median section and the revolution surface having an ordinary curve as median ...
DĂNĂILĂ Ligia +1 more
doaj +4 more sources
Two and Three-Revolution Cyclical Surfaces
Communications, 2008 The creation of two-revolution and three-revolution cyclical surfaces is presented in the paper. Classification and vector equations of the surfaces are given.
Tatiana Olejnikova
doaj +1 more source
Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps
Mathematics, 2020 In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed, which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the surfaces of revolution and the canal surfaces in the Euclidean three-space ...
Jinhua Qian +3 more
doaj +1 more source