hyperboloid

1 9.9

A three-dimensional curved shape that narrows and widens, like cooling towers

noun
/haɪˈpɜrbəˌlɔɪd/

Specialized

: hiperboloide

So very simple equation for a hyperboloid in cylindrical and cylindrical a couple more and then we'll call it quits.

Examples

Well, each one of these hyperboloids is a different value of rho.
The architect used a hyperboloid structure to create an eye-catching design for the new museum.
If you do things that way, then this hyperboloid is absolutely uniform.
This is going to be a quadric that has the shape of an hyperboloid of two sheets.
So one is primary mirror which is concave hyperboloid hyperboloid mirror.
HST's mirror was designed to be a precisely calculated shape called a hyperboloid.

Academic text (1990)
Two end caps are oriented above and below the ring electrode to form a hyperboloid of two sheets.

Academic text (1998)
Wolter had calculated that a reflector combining both paraboloid and hyperboloid segments should do the trick.

Academic text (2002)
Chandra's four nested hyperboloid-paraboloid reflectors provide an unprecedented imaging angular resolution of better than 1 arcsecond (see the image above).

Academic text (2002)
A quadrupolar ion trap consists of three electrodes with rotational symmetry about the z-axis and with the surface of the center (ring) electrode forming a hyperboloid of one sheet.

Academic text (1998)

Surface Forms

hyperboloid singular

hyperboloids plural

Morphology

hyperboloid = hyperbola (transparent) = hyperbola + oid

Formed by the noun 'hyperbola' plus the productive suffix '-oid' meaning 'resembling' (with expected loss of the final 'a'), so the relation is regular and directly inferable.

Etymology

Hyperboloid comes from the curve hyperbola, a shape that 'bends in and out', and the ending -oid meaning 'like' or 'shape', as in asteroid. So a hyperboloid is a three-dimensional shape 'like' a hyperbola turned around its main line, which is why it curves inward and outward.