elliptic paraboloid

American  

noun

Geometry.

1. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas.

---

Example Sentences

We first notice that the z term is raised only to the first power, so this is either an elliptic paraboloid or a hyperbolic paraboloid.

From Textbooks • Mar. 30, 2016

Describe the traces of the elliptic paraboloid x2 + y2 = z .

From Textbooks • Mar. 30, 2016

Figure 2.83 This quadric surface is called an elliptic paraboloid.

From Textbooks • Mar. 30, 2016

Therefore, we expect the surface to be an elliptic paraboloid.

From Textbooks • Mar. 30, 2016

Consequently a quadric surface is covered by two sets of straight lines, a pair through every point on it; these are imaginary for the ellipsoid, hyperboloid of two sheets, and elliptic paraboloid.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various