Results 31 to 40 of about 502,851 (177)
On the Singularities of Surfaces Ruled by Conics [PDF]
, 2014 We classify the singularities of a surface ruled by conics: they are rational double points of type A n or D n . This is proved by showing that they arise from a precise series of blow-ups of a suitable surface geometrically ruled by conics. We determine
G. Sacchiero, M. Brundu
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Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions
Abstract and Applied Analysis, 2022 In this work, we introduce a time-like ruled surface in one-parameter hyperbolic dual spherical motions. This provides the ability to derive some formulae of surface theory into line spaces. Then, a time-like Plücker conoid associated with the motion has
Monia F. Naghi +2 more
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Developable Ruled Surfaces Generated by the Curvature Axis of a Curve
Axioms, 2023 Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic that has been the subject of a lot of discussion in mathematics and engineering ...
Ferhat Taş, Rushan Ziatdinov
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Inextensible Flows of Curves on Lightlike Surfaces
Mathematics, 2018 In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı +1 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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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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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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Topological rigidity of algebraic $\P_3$-bundles over curves
, 2002 A projective algebraic surface which is homeomorphic to a ruled surface over a curve of genus $g\ge 1$ is itself a ruled surface over a curve of genus $g$.
Schmitt, Alexander
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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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Ruled surfaces of finite type [PDF]
Bulletin of the Australian Mathematical Society, 1990 We show that a ruled surface of finite type in a Euclidean space is a cylinder on a curve of finite type or a helicoid in Euclidean 3-space.
Chen, Bang-Yen +3 more
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