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.
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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