Results 11 to 20 of about 26,738 (260)
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
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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
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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
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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
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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
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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
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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 ...
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Covering rational ruled surfaces
Mathematics of Computation, 2017 We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.
Sendra Pons, Juan Rafael +2 more
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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
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Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13
Frontiers in Physics, 2022 In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
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