Commensurable numbers

Commensurable numbers
Commensurable Com*men"su*ra*ble, 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 numbers} or {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]


The Collaborative International Dictionary of English. 2000.

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  • Numbers commensurable in power — Commensurable Com*men su*ra*ble, 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… …   The Collaborative International Dictionary of English

  • Commensurable — Com*men su*ra*ble, 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.… …   The Collaborative International Dictionary of English

  • Commensurable quantities — Commensurable Com*men su*ra*ble, 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… …   The Collaborative International Dictionary of English

  • commensurable — ► ADJECTIVE 1) measurable by the same standard. 2) (commensurable to) proportionate to. 3) Mathematics (of numbers) in a ratio equal to a ratio of integers. ORIGIN Latin commensurabilis, from mensurare to measure …   English terms dictionary

  • Quantities commensurable in power — Commensurable Com*men su*ra*ble, 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… …   The Collaborative International Dictionary of English

  • commensurable — adjective a) Able to be measured using a common standard A yard and a foot are commensurable, as both may be measured by inches. b) Related in size or scale; commensurate or proportionate …   Wiktionary

  • commensurable — commensurability, commensurableness, n. commensurably, adv. /keuh men seuhr euh beuhl, sheuhr euh /, adj. 1. having the same measure or divisor: The numbers 6 and 9 are commensurable since they are divisible by 3. 2. suitable in measure;… …   Universalium

  • commensurable — [kə mɛnʃ(ə)rəb(ə)l, sjə ] adjective 1》 measurable by the same standard: the finite is not commensurable with the infinite. 2》 Mathematics (of numbers) in a ratio equal to a ratio of integers. Derivatives commensurability noun commensurably adverb …   English new terms dictionary

  • commensurable — com•men•su•ra•ble [[t]kəˈmɛn sər ə bəl, ʃər ə [/t]] adj. 1) having the same measure or divisor: The numbers 6 and 9 are commensurable since they are divisible by 3[/ex] 2) proportionate; commensurate • Etymology: 1550–60; < LL com•men… …   From formal English to slang

  • commensurable — adj. 1 (often foll. by with, to) measurable by the same standard. 2 (foll. by to) proportionate to. 3 Math. (of numbers) in a ratio equal to the ratio of integers. Derivatives: commensurability n. commensurably adv. Etymology: LL commensurabilis… …   Useful english dictionary

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