BabelNet

bn:03567576n

Noun Concept

Categories: Analytic geometry, Surfaces, Differential geometry, Geometric shapes, Algebraic surfaces

ruled surface Doubly-ruled surface doubly ruled doubly ruled surface Ruled algebraic surface

A surface generated by a moving straight line with the result that through every point on the surface a line can be drawn lying wholly in the surface. Open English WordNet

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A surface generated by a moving straight line with the result that through every point on the surface a line can be drawn lying wholly in the surface. Open English WordNet

In geometry, a surface S is ruled if through every point of S there is a straight line that lies on S. Examples include the plane, the lateral surface of a cylinder or cone, a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space. Wikipedia

Surface through every point of which runs a straight line which equally is on the surface Wikidata

In algebraic geometry, ruled surfaces were originally defined as projective surfaces in projective space containing a straight line through any given point. Open English WordNet

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