paraboloid

American  

[puh-rab-uh-loid] / pəˈræb əˌlɔɪd /

noun

Geometry.

1. a surface that can be put into a position such that its sections parallel to at least one coordinate plane are parabolas.

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paraboloid British  

/ pəˈræbəˌlɔɪd /

noun

1. a geometric surface whose sections parallel to two coordinate planes are parabolic and whose sections parallel to the third plane are either elliptical or hyperbolic. Equations x ²/ a ² ± y ²/ b ² = 2 cz

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paraboloid Scientific  

/ pə-răb′ə-loid′ /

1. A surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis.

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Other Word Forms

• paraboloidal
  adjective

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Etymology

Origin of paraboloid

First recorded in 1650–60; parabol(a) + -oid

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Example Sentences

See Examples For:

paraboloid

He topped the whole thing off with a swooping, saddle-shaped roof — a hyperbolic paraboloid in design-speak — that gave it a distinct presence.

From New York Times ● Jun. 13, 2023

The lower bound for r is zero, but the upper bound is sometimes the cone and the other times it is the paraboloid.

From Textbooks ● Mar. 30, 2016

Similarly, the equation of the paraboloid changes to z = 4 − r 2.

From Textbooks ● Mar. 30, 2016

Figure 4.6 The graph of the given function of two variables is also a paraboloid.

From Textbooks ● Mar. 30, 2016

Behind this was a curious, paraboloid projector made up of hundreds of tiny, carefully orientated coils.

From The Ultimate Weapon by Gerald McConnell

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