hyperboloid vs quadric surface

hyperboloid and quadric surface both are nouns.

Word	Noun	Adjective	Verb	Adverb
hyperboloid	Yes	No	No	No
quadric surface	Yes	No	No	No

As nouns, quadric surface is a hypernym of hyperboloid; that is, quadric surface is a word with a broader meaning than hyperboloid:

hyperboloid: a quadric surface generated by rotating a hyperbola around its main axis
quadric surface: a curve or surface whose equation (in Cartesian coordinates) is of the second degree

Other hypernyms of hyperboloid include quadric.

hyperboloid (noun)	quadric surface (noun)
a quadric surface generated by rotating a hyperbola around its main axis	a curve or surface whose equation (in Cartesian coordinates) is of the second degree