geodesic vs geodesical

geodesic is a noun but geodesical is not a noun.

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

As adjectives, geodesic and geodesical are synonyms defined as:

Other synonyms of geodesic include geodetic.

geodesic (noun)	geodesical (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)

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