parabolic geometry vs elementary geometry

parabolic geometry and elementary geometry both are nouns.

Word	Noun	Adjective	Verb	Adverb
parabolic geometry	Yes	No	No	No
elementary geometry	Yes	No	No	No

As nouns, parabolic geometry and elementary geometry are synonyms defined as:

parabolic geometry and elementary geometry: (mathematics) geometry based on Euclid's axioms

Other synonyms of parabolic geometry include Euclidean geometry.

parabolic geometry (noun)	elementary geometry (noun)
(mathematics) geometry based on Euclid's axioms	(mathematics) geometry based on Euclid's axioms