Results 31 to 40 of about 10,072,628 (333)
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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Singularities of the Ruled Surfaces According to RM Frame and Natural Lift Curves
Cumhuriyet Science Journal, 2022 In this study, the ruled surface generated by the natural lift curve in IR^3 is obtained by using the isomorphism between unit dual sphere, DS^2 and the subset of the tangent bundle of unit 2-sphere, T\bar{M}. Then, exploitting E.
Emel Karaca
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, 2020 In differential geometry of curves and surfaces, a ruled surface represents one of the most fascinating topics in surface theory, it is defined by choosing a curve which called base curve and a line along that curve (ruling).
Soukaina Ouarab, A. O. Chahdi
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Ruled Surface Theory and Incidence Geometry [PDF]
, 2016 We survey the applications of ruled surface theory in incidence geometry. We discuss some of the proofs and raise some open questions.
L. Guth
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Some special types of developable ruled surface [PDF]
, 2010 In this study we consider the focal curve Cγ of a space curve γ and its focal curvatures. We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the space curve γ.
Arslan, Kadri +4 more
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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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Generalized osculating‐type ruled surfaces of singular curves
Mathematical methods in the applied sciences, 2023 In this study, we introduce generalized osculating‐type ruled surfaces of special singular curves. We give some theories and results about the geometric structure of the surface.
Bahar Doğan Yazıcı +2 more
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Bisector Surfaces Through A Common Line of Curvatures and Its Classifications
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this paper, we study the Bisector surface, which definesthe line of curvature on a surface play an importance role. Firstly, theBisector surface constructed by a point and a space curve given in Euclidean3-space.
Muhammed Talat Sarıaydın
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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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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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