Euclidean axiom vs Euclid's axiom

Euclidean axiom and Euclid's axiom both are nouns.

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

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

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

Other synonyms of Euclidean axiom include Euclid's postulate.

Euclidean axiom (noun)	Euclid's 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