File:Hyperboloid1.png · Wikimedia Commons · See Wikimedia Commons
Also known as hourglass shape, elliptic hyperboloid
{| class=wikitable align=right |- align=center |150pxHyperboloid of one sheet |160pxconical surface in between |150pxHyperboloid of two sheets |} In geometry, a hyperboloid of revolution, sometimes called a circular hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation.
In the Vinony graph
Within Vinony's link graph, 双曲面 is referenced by 176 other articles, and connects out to eigenvectors and eigenvalues, paraboloid and connected space.
Vinony files it under Geometric shapes, Quadrics and Surfaces.
Its subject is documented across 47 Wikipedia language editions.
Wikidata facts
- Subclass of
- shape
- Image
- Hyperboloid2.png
Show 2 more facts
- Commons category
- Hyperboloid
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
via Wikidata · CC0
Article · 日本語
数学における双曲面（そうきょくめん、英語: Hyperboloid）は、二次曲面の一種で、三次元空間内の曲面として : 一葉双曲面 あるいは : 二葉双曲面 によって記述される。楕円双曲面 (elliptical hyperboloid) とも呼ぶ。a = b であるとき、またそのときに限り（双曲線の回転体となるため）回転双曲面 (hyperboloid of revolution or circular hyperboloid) と呼ばれる。
Abstract from DBpedia / Wikipedia · CC BY-SA