Also found in: Thesaurus, Encyclopedia, Wikipedia.
Related to hyperboloid: Hyperboloid of two sheets, Elliptic cylinder
top: hyperboloid of one sheet
bottom: hyperboloid of
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.
(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/b2 – z2/c2 = 1 (one sheet) or x2/a2 – y2/b2 – z2/c2 = 1 (two sheets) where a, b, and c are constants
a quadric having a finite center and some of its plane sections hyperbolas. Equation: x2/a2 + y2/b2−z2/c2= 1.