analytical geometry vs geometry

analytical geometry and geometry both are nouns.

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

As nouns, geometry is a hypernym of analytical geometry; that is, geometry is a word with a broader meaning than analytical geometry:

analytical geometry: the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
geometry: the pure mathematics of points and lines and curves and surfaces

analytical geometry (noun)	geometry (noun)
the use of algebra to study geometric properties; operates on symbols defined in a coordinate system	the pure mathematics of points and lines and curves and surfaces