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The definition of an axiom is a universally accepted rule.

(noun)

Two things that are equal to the same thing are also equal to each other is an example of an axiom.

See axiom in Webster's New World College Dictionary

noun

a statement universally accepted as true; maxim
an established principle or law of a science, art, etc.
Logic, Math. a statement or proposition that needs no proof because its truth is obvious, or one that is accepted as true without proof: Euclid's axiom that things equal to the same thing are equal to each other

Origin: Fr axiome < L axioma < Gr axiōma, authority, authoritative sentence < axioun, to think worthy < axios, worthy < base of agein, to weigh, orig., to lend: see act

See axiom in American Heritage Dictionary 4

noun

A self-evident or universally recognized truth; a maxim: “It is an economic axiom as old as the hills that goods and services can be paid for only with goods and services” (Albert Jay Nock).
An established rule, principle, or law.
A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate.

Origin:

Origin: Middle English

Origin: , from Old French axiome

Origin: , from Latin axiōma, axiōmat-

Origin: , from Greek

Origin: , from axios, worthy; see ag- in Indo-European roots

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