Pōst'ū-late1, n.
n. [Lat. postulatum, It. postulato, Sp. postulado, Fr. postulat. See infra.]
Sense 1. A position or supposition assumed without proof, or one which is considered as self-evident, or too plain to require illustration; a truth to which assent may be demanded or challenged, without argument or evidence.
Sense 2. (Geom.) The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
Math. Dict.
The distinction between a postulate and an axiom lies in this,—that the latter is admitted to be self-evident, while the former may be agreed upon between two reasoners, and admitted by both, but not as a proposition which it would be impossible to deny. Eng. Cyc.