Results 11 to 20 of about 167,459 (301)

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

Curves on ruled surfaces under infinitesimal bending [PDF]

open access: yesBulletin of Natural Sciences Research, 2021
Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid are considered and appropriate ...
Najdanović Marija   +2 more
doaj   +1 more source

STUDY ON THE PROJECTION WITH ELEVATIONS OF HELICOID-TYPE SURFACES

open access: yesJournal of Industrial Design and Engineering Graphics, 2021
This paper presents right helicoid surfaces in various systems of representation. Emphasis was put on the representation of helicoid surfaces in the projection with elevations, where both the right helicoid with a perpendicular axis on the elevated plan ...
Adrian TUDOREANUCRISAN, Delia DRAGAN
doaj   +2 more sources

Analytical ruled surfaces and their complete classification

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2020
The aim of the work - to give the possibility to expand mind of designers and architects projecting structures in the form of traditional and non-canonical ruled surfaces.
Sergey N. Krivoshapko
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

On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space

open access: yesAIMS Mathematics, 2023
In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to the Frenet vectors of non-null space curves, are introduced with extra conditions that guarantee the existence of definite surface normals.
Yanlin Li , Kemal Eren, Soley Ersoy
doaj   +1 more source

Real structures on minimal ruled surfaces [PDF]

open access: yes, 2002
In this paper, we give a complete description of the deformation classes of real structures on minimal ruled surfaces. In particular, we show that these classes are determined by the topology of the real structure, which means that real minimal ruled ...
Welschinger, Jean-Yves
core   +2 more sources

Canonical geometrically ruled surfaces [PDF]

open access: yesMathematische Nachrichten, 2005
AbstractWe prove the existence of canonical scrolls; that is, scrolls playing the role of canonical curves. First of all, they provide the geometrical version of Riemann Roch Theorem: any special scroll is the projection of a canonical scroll and they allow to understand the classification of special scrolls in PN.
Fuentes García, Luis, Pedreira, Manuel
openaire   +3 more sources

Ulrich bundles on ruled surfaces

open access: yes, 2018
In this short note, we study the existence problem for Ulrich bundles on ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient $\alpha$ of the minimal ...
Aprodu, M., Costa, L., Miró-Roig, R.
core   +2 more sources

Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3

open access: yesAbstract and Applied Analysis, 2021
In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
doaj   +1 more source

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