Numbers commensurable in power
- 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"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.
Look at other dictionaries:
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 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
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
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
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium
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
algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium
Irrational number — In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… … Wikipedia
Incommensurable magnitudes — The Greek discovery of incommensurable magnitudes changed the face of mathematics. At its most basic level it shed light on a glaring contradiction within the then current Greek conception of mathematical thought, which eventually resulted in a… … Wikipedia