greatest common measure

Euclid poses the problem: "Given two numbers not prime to one another, to find their greatest common measure".

It may be sufficient for the present to enumerate the following requisites--others might be added as funds permit:-- A. A very large room for calculating Greatest Common Measure.

On the "porism" in the other sense he adds nothing to the definition of "the older geometers" except to say that the finding of the center of a circle and the finding of the greatest common measure are porisms (Proclus, ed.

Though nearly all modern mathematicians consider nonconstructive methods just as sound as constructive ones, Euclid's constructive proofs often supplanted fallacious nonconstructive ones-e.g., some of the Pythagoreans' proofs that involved irrational numbers, which usually required a statement such as "Find the greatest common measure of ..."

Later that year he attacked the idea that an MP needed an Oxbridge education further adding that: To use an arithmetical metaphor, the Labour party had reduced the points of difference among the working classes to the lowest common denominator, and had promoted and developed the greatest common measure of united action.