geodesical vs geodesic

geodesical is not a noun while geodesic is a noun.

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

As adjectives, geodesical and geodesic are synonyms defined as:

Other synonyms of geodesical include geodetic.

geodesical (noun)	geodesic (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)

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