ellipse vs conic

ellipse and conic both are nouns.

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

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

ellipse: a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it
conic: (geometry) a curve generated by the intersection of a plane and a circular cone

Other hypernyms of ellipse include conic section.

ellipse (noun)	conic (noun)
a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it	(geometry) a curve generated by the intersection of a plane and a circular cone

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