Results 41 to 50 of about 10,072,628 (333)

Ruled algebraic surfaces with a main frame from three superellipses

Structural 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

Optimized normal and distance matching for heterogeneous object modeling [PDF]

, 2013
This paper presents a new optimization methodology of material blending for heterogeneous object modeling by matching the material governing features for designing a heterogeneous object.
Samanta, Kuntal, Koç, Bahattin, Özbolat, İbrahim T.   +2 more
core   +1 more source

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

Abstract 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, Rashad A. Abdel-Baky, Fatemah Mofarreh   +2 more
doaj   +1 more source

Developable Ruled Surfaces Generated by the Curvature Axis of a Curve

Axioms, 2023
Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic that has been the subject of a lot of discussion in mathematics and engineering ...
Ferhat Taş, Rushan Ziatdinov
doaj   +1 more source

Triads of Ruled Surfaces [PDF]

Transactions of the American Mathematical Society, 1927
Py, (yl, Y2, Y3, y4) ; Pz, (z1l Z2, Z3, Z4) ; Pa, (a,) a2, a3, a4) ; P#, (#l) 32, /33 (4), which in turn determine two non-intersecting lines ly, la#. As x varies these points trace four curves Cy, Cz, Ca, C,, while the lines ly, la# generate two ruled surfaces Ry, Ra#, on the first of which lie the curves Cy, Cz, and on the second, the curves Ca, Co ...
openaire   +1 more source

Inextensible Flows of Curves on Lightlike Surfaces

Mathematics, 2018
In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı, Dae Won Yoon   +1 more
doaj   +1 more source

The Ruled Surface Nature of Hyperbolic Paraboloid and Its Applications

, 2020
In geometry, the curved surface formed by the movement of a straight line is called a ruled surface, and the hyperbolic paraboloid is a typical ruled surface.
GUI, Guoxiang
core   +1 more source

Deformations of ruled surfaces.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1992
In spite of the long history of the theory of ruled surfaces, their deformations so far have only been studied for ruled surfaces with rational or elliptic base curves. In this paper, I deal with the versal deformation and the deformation types of arbitrary ruled surfaces over \(\mathbb{C}\).
openaire   +1 more source

Ruled surfaces of finite type [PDF]

Bulletin of the Australian Mathematical Society, 1990
We show that a ruled surface of finite type in a Euclidean space is a cylinder on a curve of finite type or a helicoid in Euclidean 3-space.
Chen, Bang-Yen, Dillen, Franki, Verstraelen, Leopold, Vrancken, Luc   +3 more
openaire   +2 more sources

The Intersection of Two Ruled Surfaces Corresponding to Spherical Indicatrix Curves on the Unit Dual Sphere

Cumhuriyet Science Journal, 2023
In this study, we first investigate the intersection of two different ruled surfaces in R^3 for two different tangential spherical indicatrix curves on DS^2 using the E. Study mapping.
Yunus Öztemir, Mustafa Çalışkan
doaj   +1 more source