Results 11 to 20 of about 28,712 (296)

On rectifying ruled surfaces

Kuwait Journal of Science, 2020
In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve.
Mehmet Önder, Tanju Kahraman
doaj   +3 more sources

Characterizations of Spatial Quaternionic Partner-Ruled Surfaces

Axioms
In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product.
Soley Ersoy, Kemal Eren, Abdussamet Çalışkan   +2 more
doaj   +2 more sources

RULED SURFACES ON THE GIVEN SUPPORTING CURVES

Structural Mechanics of Engineering Constructions and Buildings, 2015
Thin spatial structures allow creating modern forms of the pubic, sport and industrial buildings and creations. The shells made on the base of the ruled surfaces may be designed by the simplest way.
V N IVANOV
doaj   +1 more source

STUDY ON THE PROJECTION WITH ELEVATIONS OF HELICOID-TYPE SURFACES

Journal 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

Structural 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

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

Abstract 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

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

Abstract and Applied Analysis, 2022
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

Tetrads of ruled surfaces [PDF]

Transactions of the American Mathematical Society, 1929
The projective differential geometry of a configuration composed of three ruled surfaces whose generators are in correspondence in sets of three has been discussed in two recent papers by the author. t It is the purpose of the present paper to present briefly an analytic basis for the projective differential geometry of a configuration composed of four
openaire   +1 more source

Offset Ruled Surface in Euclidean Space with Density

Analele 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

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   +1 more source