Results 1 to 10 of about 167,360 (202)
AIMS Mathematics, 2019 In this study, we define some new types of non-null ruled surfaces called slant ruled surfaces in the Minkowski 3-space $E_{1}^{3} $. We introduce some characterizations for a non-null ruled surface to be a slant ruled surface in $E_{1}^{3} $.
Mehmet Önder
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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.
J. Rafael Sendra +2 more
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Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]
PLoS ONERuled surfaces are a class of surfaces generated by a moving straight line and are used in various design and modeling applications, including kinematics, robotics, and computer-aided geometric design.
Kemal Eren +2 more
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Geometry of the normal ruled surfaces
Structural Mechanics of Engineering Constructions and Buildings, 2021 The wide circle of the surfaces formed by the motion of the right line in the normal plain of some base directrix curve is regarded. The generate right line may rotate at some low at the normal plane of the base curve.
Vyacheslav N. Ivanov
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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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Spacelike ruled surfaces with stationary Disteli-axis
AIMS Mathematics, 2023 This paper derives the expressions for spacelike ruled surfaces with stationary Disteli-axis by means of the E. Study map. This provides the ability to compute a set of Lorentzian curvature functions which define the local shape of spacelike ruled ...
Fatemah Mofarreh, Rashad A. Abdel-Baky
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Fixed-axis spacelike ruled surfaces and their evolute offsets [PDF]
PLoS ONEAreej A. Almoneef, Rashad A. Abdel-Baky
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Ruled surfaces with constant Disteli-axis
AIMS Mathematics, 2020 This work develops the kinematic-geometry for ruled surfaces by using the analogy with spherical kinematics. This provides the ability to compute set of curvature functions which define the local shape of ruled surfaces. Hence, the well known equation of
Nadia Alluhaibi
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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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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
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