hyperbola vs conic

hyperbola and conic both are nouns.

Word	Noun	Adjective	Verb	Adverb
hyperbola	Yes	No	No	No
conic	Yes	Yes	No	No

As nouns, conic is a hypernym of hyperbola; that is, conic is a word with a broader meaning than hyperbola:

hyperbola: an open curve formed by a plane that cuts the base of a right circular cone
conic: (geometry) a curve generated by the intersection of a plane and a circular cone

Other hypernyms of hyperbola include conic section.

hyperbola (noun)	conic (noun)
an open curve formed by a plane that cuts the base of a right circular cone	(geometry) a curve generated by the intersection of a plane and a circular cone

hyperbola (adjective)	conic (adjective)
	relating to or resembling a cone