paraboloid

[ puh-rab-uh-loid ]

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.

paraboloid

/ 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

paraboloid

/ pə-răb′ə-loid′ /

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

Derived Forms

• paˌraboˈloidal, adjective

Other Words From

• pa·rab·o·loi·dal [p, uh, -rab-, uh, -, loid, -l, par-, uh, -b, uh, -], adjective

Word History and Origins

Origin of paraboloid¹

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

Example Sentences

In the first case the surface is called an Hyperboloid of one sheet, in the second an Hyperbolic Paraboloid.

From Project Gutenberg

If it lies at the infinity, the plane at infinity is a tangent plane, and the surface is called a paraboloid.

From Project Gutenberg

The Silky Epeira also has all the elbow-room she needs; and her paraboloid is not without elegance.

From Project Gutenberg

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

From Project Gutenberg

Also, the form of cambered surface should be a paraboloid—not arc or arc of circles.

From Project Gutenberg