Also known as the continuity axiom, this Eudoxus (Boyer 1968).It states that, given two magnitudes having a ratio, one can find a multiple of either which will exceed the other. Thisprinciple was the basis for the Archimedes invented to solve problems of Area and Volume.
See also Continuity Axioms
References
Boyer, C. B. A History of Mathematics. New York: Wiley, p. 100, 1968.