Archimedes' principle vs law of Archimedes

Archimedes' principle and law of Archimedes both are nouns.

Word	Noun	Adjective	Verb	Adverb
Archimedes' principle	Yes	No	No	No
law of Archimedes	Yes	No	No	No

As nouns, Archimedes' principle and law of Archimedes are synonyms defined as:

Archimedes' principle and law of Archimedes: (hydrostatics) the apparent loss in weight of a body immersed in a fluid is equal to the weight of the displaced fluid

Archimedes' principle (noun)	law of Archimedes (noun)
(hydrostatics) the apparent loss in weight of a body immersed in a fluid is equal to the weight of the displaced fluid	(hydrostatics) the apparent loss in weight of a body immersed in a fluid is equal to the weight of the displaced fluid