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"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 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 — 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 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… …   The Collaborative International Dictionary of English

  • Commensurableness — 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

  • Apotome — A*pot o*me, n. [Gr. ? a cutting off, fr. ? to cut off; ? from + ? to cut.] 1. (Math.) The difference between two quantities commensurable only in power, as between [root]2 and 1, or between the diagonal and side of a square. [1913 Webster] 2.… …   The Collaborative International Dictionary of English

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