COMMENSURABILITY,

COMMENSURABLE, adjective That have a common measure; reducible to a common measure. Thus a yard and a foot are commensurable, as both may be measured by inches. Commensurable numbers are those which may be measured or divided by another number without a remainder; as 12 and 18 which may be measured by 6 and 3.

Commensurable surds are those which, being reduced to their least terms, become true figurative quantities of their kind; and are therefore as a rational quantity to a rational one.