quadric surface vs quadric

quadric surface and quadric both are nouns.

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

As nouns, quadric surface and quadric are synonyms defined as:

quadric surface and quadric: a curve or surface whose equation (in Cartesian coordinates) is of the second degree

quadric surface (noun)	quadric (noun)
a curve or surface whose equation (in Cartesian coordinates) is of the second degree	a curve or surface whose equation (in Cartesian coordinates) is of the second degree