- a quadric surface having a finite center and some of its plane sections hyperbolas. Equation: x 2/a 2 + y 2/b 2 − z 2/c 2 = 1.
Origin of hyperboloid
Examples from the Web for hyperboloid
Historical Examples of hyperboloid
At the top it is gathered into a dome in the form of a hyperboloid, pierced near the vertex with an aperture 12 feet in diameter.Old and New London
In the first case the surface is called an Hyperboloid of one sheet, in the second an Hyperbolic Paraboloid.
- 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 x ²/ a ² + y ²/ b ² – z ²/ c ² = 1 (one sheet) or x ²/ a ² – y ²/ b ² – z ²/ c ² = 1 (two sheets) where a, b, and c are constants
- 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.