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

  • Dimensional analysis — In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… …   Wikipedia

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

  • Apotome — may mean one of the following:*In mathematics, apotome is the difference of two quantities that are commensurable only in power. An example is the difference::sqrt{2} 1,which corresponds to the difference between the diagonal and side of a square …   Wikipedia

  • 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

  • Abstract labour and concrete labour — Part of a series on Marxism …   Wikipedia

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