Euclid's axiom vs Euclidean axiom

Euclid's axiom and Euclidean axiom both are nouns.

Word	Noun	Adjective	Verb	Adverb
Euclid's axiom	Yes	No	No	No
Euclidean axiom	Yes	No	No	No

As nouns, Euclid's axiom and Euclidean axiom are synonyms defined as:

Euclid's axiom and Euclidean axiom: (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry

Other synonyms of Euclid's axiom include Euclid's postulate.

Euclid's axiom (noun)	Euclidean axiom (noun)
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry	(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry