Results 11 to 20 of about 10,016,701 (311)
The Characterizations of Parallel q-Equidistant Ruled Surfaces
Symmetry, 2022 In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors of given two differentiable curves are parallel along the striction curves of their corresponding binormal ruled surfaces, and the distance between the ...
Yanlin Li +3 more
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Quaternionic Shape Operator and Rotation Matrix on Ruled Surfaces
Axioms, 2023 In this article, we examine the relationship between Darboux frames along parameter curves and the Darboux frame of the base curve of the ruled surface. We derive the equations of the quaternionic shape operators, which can rotate tangent vectors around ...
Yanlin Li, Abdussamet Çalışkan
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Frenet frames and invariants of timelike ruled surfaces
Ain Shams Engineering Journal, 2013 In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
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Characterization of rational ruled surfaces
Journal of Symbolic Computation, 2014 The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form.
Shen, Li-Yong, Pérez Díaz, Sonia
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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
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Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3
Abstract and Applied Analysis, 2021 In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
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Curves on ruled surfaces under infinitesimal bending [PDF]
Bulletin 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
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The Dual Expression of Parallel Equidistant Ruled Surfaces in Euclidean 3-Space
Symmetry, 2022 In this study, we examine the dual expression of Valeontis’ concept of parallel p-equidistant ruled surfaces well known in Euclidean 3-space, according to the Study mapping.
Sümeyye Gür Mazlum +2 more
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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
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Simultaneous characterizations of partner ruled surfaces using Flc frame
AIMS Mathematics, 2022 In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated.
Yanlin Li +3 more
semanticscholar +1 more source