quadric vs hyperboloid

quadric and hyperboloid both are nouns.

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

As nouns, hyperboloid is a hyponym of quadric; that is, hyperboloid is a word with a more specific, narrower meaning than quadric:

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

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