hyperboloid

hyperboloidtop: hyperboloid of one sheetbottom: hyperboloid oftwo sheets

hy·per·bo·loid

H0356900 (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.

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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/b² – z²/c² = 1 (one sheet) or x²/a² – y²/b² – z²/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/b²−z²/c²= 1. [1720–30] hy•per`bo•loi′dal, adj.

Thesaurus

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

Translations

гиперболоид