hy·per·bo·loid (h -pûr b -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·loidal (-loidl) adj. |   top: hyperboloid of one-sheet bottom: hyperboloid of two-sheets |
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/b2 - z2/c2 = 1 (one sheet) or x2/a2 - y2/b2 - z2/c2 = 1 (two sheets) where a, b, and c are constants
| hyperboloid (h-pûrb-loid) Either of two 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. |
ThesaurusLegend: Synonyms Related Words Antonyms
| Noun | 1. |  hyperboloid - a quadric surface generated by rotating a hyperbola around its main axisquadric, quadric surface - a curve or surface whose equation (in Cartesian coordinates) is of the second degree |
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