geodesic vs mathematics

geodesic and mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
geodesic	Yes	Yes	No	No
mathematics	Yes	No	No	No

geodesic (noun)	mathematics (noun)
(mathematics) the shortest line between two points on a mathematically defined surface (as a straight line on a plane or an arc of a great circle on a sphere)	a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

geodesic (adjective)	mathematics (adjective)
of or relating to or determined by geodesy