geometry vs pure mathematics

geometry and pure mathematics both are nouns.

Word	Noun	Adjective	Verb	Adverb
geometry	Yes	No	No	No
pure mathematics	Yes	No	No	No

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

geometry: the pure mathematics of points and lines and curves and surfaces
pure mathematics: the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

geometry (noun)	pure mathematics (noun)
the pure mathematics of points and lines and curves and surfaces	the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness