hyperboloid vs quadric

hyperboloid and quadric both are nouns.

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

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

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

Other hypernyms of hyperboloid include quadric surface.

hyperboloid (noun)	quadric (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