Cylinder  

From The Art and Popular Culture Encyclopedia

(Redirected from Cylinder (geometry))
Jump to: navigation, search

Related e

Wikipedia
Wiktionary
Shop


Featured:

Kunstformen der Natur (1904) by Ernst Haeckel
Enlarge
Kunstformen der Natur (1904) by Ernst Haeckel

A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler") is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since deep antiquity.

In differential geometry, a cylinder is defined more broadly as any ruled surface spanned by a one-parameter family of parallel lines. A cylinder whose cross section is an ellipse, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder respectively.

The open cylinder is topologically equivalent to both the open annulus and the punctured plane.

See also




Unless indicated otherwise, the text in this article is either based on Wikipedia article "Cylinder" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on original research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

Personal tools