hyperboloid


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hyperboloid
top: hyperboloid of one sheet
bottom: hyperboloid of
two sheets

hy·per·bo·loid

 (hī-pûr′bə-loid′)
n.
Either of two quadric surfaces generated by rotating a hyperbola about either of its main axes and having a finite center with certain plane sections that are hyperbolas and others that are ellipses or circles.

hy·per′bo·loid′al (-loid′l) adj.

hyperboloid

(haɪˈpɜːbəˌlɔɪd)
n
(Mathematics) a geometric surface consisting of one sheet, or of two sheets separated by a finite distance, whose sections parallel to the three coordinate planes are hyperbolas or ellipses. Equations x2/a2 + y2/b2z2/c2 = 1 (one sheet) or x2/a2y2/b2z2/c2 = 1 (two sheets) where a, b, and c are constants

hy•per•bo•loid

(haɪˈpɜr bəˌlɔɪd)

n.
a quadric having a finite center and some of its plane sections hyperbolas. Equation: x2/a2 + y2/b2z2/c2= 1.
[1720–30]
hy•per`bo•loi′dal, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.hyperboloid - a quadric surface generated by rotating a hyperbola around its main axishyperboloid - a quadric surface generated by rotating a hyperbola around its main axis
quadric, quadric surface - a curve or surface whose equation (in Cartesian coordinates) is of the second degree
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The normalized vector x lies on the one-sheet hyperboloid H = {x [member of] V |B(x, x) = 1}.