- geometric exhaustion
- мат. геометрическое исчерпание
Большой англо-русский и русско-английский словарь. 2001.
geometric exhaustion
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Geometric series — In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series:frac{1}{2} ,+, frac{1}{4} ,+, frac{1}{8} ,+, frac{1}{16} ,+, cdotsis geometric, because each term is equal to half of the… … Wikipedia
exhaustion, method of — ▪ mathematics in mathematics, technique invented by the classical Greeks to prove propositions regarding the areas and volumes of geometric figures. Although it was a forerunner of the integral calculus, the method of exhaustion used… … Universalium
Method of exhaustion — This article is about the method of finding the area of a shape using limits. For the method of proof, see Proof by exhaustion. The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape… … Wikipedia
analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… … 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
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
Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… … History of philosophy
The Quadrature of the Parabola — is a treatise on geometry, written by Archimedes in the 3rd century B.C. Written as a letter to his friend Dositheus, the work presents 24 propositions regarding parabolas, culminating in a proof that the area of a parabolic segment (the region… … Wikipedia
geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… … Universalium
History of mathematics — A proof from Euclid s Elements, widely considered the most influential textbook of all time.[1] … Wikipedia
Archimedes — For other uses, see Archimedes (disambiguation). Archimedes of Syracuse (Greek: Ἀρχιμήδης) … Wikipedia
