Euclid's axiom vs Euclid's postulate

Euclid's axiom and Euclid's postulate both are nouns.

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

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

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

Other synonyms of Euclid's axiom include Euclidean axiom.

Euclid's axiom (noun)	Euclid's postulate (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