commensurable
31commensurable — 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… …
32Numbers 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… …
33Quantities 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… …
34Commensurableness — 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… …
35Greek 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… …
36Commensurability (mathematics) — This article is about the meaning of commensurable and derived words in mathematics. For other senses, see Commensurability (disambiguation). In mathematics, two non zero real numbers a and b are said to be commensurable if a/b is a rational… …
37incommensurable — [ ɛ̃kɔmɑ̃syrabl ] adj. • 1361, rare av. XVIIIe; bas lat. incommensurabilis 1 ♦ Math. Se dit de grandeurs qui n ont pas de mesure commune, dont le rapport ne peut donner de nombre entier ni fractionnaire. ⇒ irrationnel. La racine carrée de 2 est… …
38proportional — proportional, proportionate, commensurate, commensurable are often used without marked distinction because all mean being duly proportioned to something else. Proportional and proportionate both imply due proportions either to a related thing or… …
39Algèbre géométrique — Pour les articles homonymes, voir Algèbre (homonymie) et notamment la structure mathématique d algèbre géométrique. Paul Tannery popularise l expression algèbre géométrique. En mathématiques, l’algèbre géométrique regroupe …
40Incommensurable 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… …
