Euclidean geometry vs elementary geometry

Euclidean geometry and elementary geometry both are nouns.

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

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

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

Other synonyms of Euclidean geometry include parabolic geometry.

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