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Ruled surface

In geometry, a surface S in 3-dimensional Euclidean space is ruled (also called a scroll) 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…

Ruled surfaces in architecture, Overview & Examples

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Overview

Definition and parametric representation

Examples

Developable surfaces

Ruled surfaces in algebraic geometry

Ruled surfaces in architecture

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Map overview Semantic statistics

Ruled surface

Nodes78
Edges77
Triples26
Avg. degree1.97
Density0.025641
Components1

How this topic connects Entity context

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Ruled surface

Top relations

related to Ruled surfaces in algebraic geometry · 9
Ruled surface → Enriques, Every, Hirzebruch, In, Kodaira, Ruled, Sometimes, The, This
related to External links · 7
Ruled surface → ArizonaExamples, Eric, MathWorld, Rhino3DE, Ruled, University, Weisstein
related to Definition and parametric representation · 5
Ruled surface → Any, Euclidean, Formally, It, The
related to Ruled surfaces in architecture · 3
Ruled surface → Doubly, Hyperbolic, Hyperboloids
is a · 1
Ruled surface → surface in R 3
related to Möbius strip · 1
Ruled surface → The

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Important terminology

ruled surface displaystyle mathbf one surfaces line developable point cos doubly sin lines projective directrix cone space straight plane geometry

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ruled surfaceis asurface in R 30.90text
Ruled surfacerelated to Definition and parametric representationEuclidean0.60section
Ruled surfacerelated to Definition and parametric representationFormally0.60section
Ruled surfacerelated to Definition and parametric representationIt0.60section
Ruled surfacerelated to Definition and parametric representationAny0.60section
Ruled surfacerelated to Definition and parametric representationThe0.60section
Ruled surfacerelated to External linksWeisstein0.60section
Ruled surfacerelated to External linksEric0.60section
Ruled surfacerelated to External linksMathWorld0.60section
Ruled surfacerelated to External linksRuled0.60section
Ruled surfacerelated to External linksUniversity0.60section
Ruled surfacerelated to External linksArizonaExamples0.60section

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    Min side: 3
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