parabola vs conic section

parabola and conic section both are nouns.

Word	Noun	Adjective	Verb	Adverb
parabola	Yes	No	No	No
conic section	Yes	No	No	No

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

parabola: a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
conic section: (geometry) a curve generated by the intersection of a plane and a circular cone

Other hypernyms of parabola include conic.

parabola (noun)	conic section (noun)
a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve	(geometry) a curve generated by the intersection of a plane and a circular cone