analytic geometry vs analytical geometry

analytic geometry and analytical geometry both are nouns.

Word	Noun	Adjective	Verb	Adverb
analytic geometry	Yes	No	No	No
analytical geometry	Yes	No	No	No

As nouns, analytic geometry and analytical geometry are synonyms defined as:

analytic geometry and analytical geometry: the use of algebra to study geometric properties; operates on symbols defined in a coordinate system

Other synonyms of analytic geometry include coordinate geometry.

analytic geometry (noun)	analytical geometry (noun)
the use of algebra to study geometric properties; operates on symbols defined in a coordinate system	the use of algebra to study geometric properties; operates on symbols defined in a coordinate system