incommensurable
UK /ɪnkəˈmɛnʃ(ə)ɹəbəl/ · US /ɪn.kəˈmɛnt͡ʃ.ɹə.bəl/ adjective, noun
Forms incommensurables
- adjective (mathematics, of two real numbers) having a ratio that is not expressible as a fraction of two integers. “The side and diagonal of a square are incommensurable with each other; the diameter and circumference of a circle are incommensurable.”
- adjective (mathematics, of two integers) having no common integer divisor except 1.
- adjective Not able to be measured by the same standards as another term in the context.
- noun An incommensurable value or quantity; an irrational number.
Etymology
From Middle French incommensurable, from Medieval Latin incommensurabilis.
Its full etymology is equivalent to that of in- + commensurable.
Webster’s 1913
- adjective 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.
- noun One of two or more quantities which have no common measure.
Etymology [Pref. in- not + commensurable: cf. F. incommensurable.]
Sources: Wiktionary · Webster’s 1913 — from the Wiktionary entry “incommensurable”, CC BY-SA 4.0. Details