a. [ L. commensurabilis; pref. com- + mensurable. See Commensurate, and cf. Commeasurable. ] Having a common measure; capable of being exactly measured by the same number, quantity, or measure. -- Com*men"su*ra*ble*ness, n. [1913 Webster]
Commensurable numbersor Commensurable quantities (Math.), those that can be exactly expressed by some common unit; thus a foot and yard are commensurable, since both can be expressed in terms of an inch, one being 12 inches, the other 36 inches. -- Numbers commensurable in power, or Quantities commensurable in power, those whose squares are commensurable. [1913 Webster]
a. [ Pref. in- not + commensurable: cf. F. incommensurable. ] Not commensurable; having no common measure or standard of comparison; as, quantities are incommensurable when no third quantity can be found that is an aliquot part of both; the side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable. [ 1913 Webster ]
They are quantities incommensurable. Burke.
-- In`com*men"su*ra*ble*ness, n. -- In`com*men"su*ra*bly, adv. [ 1913 Webster ]
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