- ordered geometry
- мат. упорядоченная геометрия
Большой англо-русский и русско-английский словарь. 2001.
ordered geometry
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Ordered geometry — is a form of geometry featuring the concept of intermediacy (or betweenness ) but, like projective geometry, omitting the basic notion of measurement. Ordered geometry is a fundamental geometry forming a common framework for affine, Euclidean,… … Wikipedia
Ordered field — In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. Historically, the axiomatization of an ordered field was abstracted gradually from the real numbers, by… … Wikipedia
Ordered ring — In abstract algebra, an ordered ring is a commutative ring R with a total order ≤ such that for all a, b, and c in R: if a ≤ b then a + c ≤ b + c. if 0 ≤ a and 0 ≤ b then 0 ≤ ab. Ordered rings are familiar from arithmetic. Examples include the… … Wikipedia
geometry — [[t]ʤiɒ̱mɪtri[/t]] 1) N UNCOUNT Geometry is the branch of mathematics concerned with the properties and relationships of lines, angles, curves, and shapes. ...the very ordered way in which mathematics and geometry describe nature. 2) N UNCOUNT:… … English dictionary
Absolute geometry — is a geometry based on an axiom system for Euclidean geometry that does not assume the parallel postulate or any of its alternatives. The term was introduced by János Bolyai in 1832.[1] It is sometimes referred to as neutral geometry,[2] as it is … Wikipedia
Affine geometry — is a form of geometry featuring the unique parallel line property (see the parallel postulate) but where the notion of angle is undefined and lengths cannot be compared in different directions (that is, Euclid s third and fourth postulates are… … Wikipedia
Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… … Wikipedia
Analytic geometry — Cartesian coordinates. Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning … Wikipedia
Point (geometry) — In geometry, topology and related branches of mathematics a spatial point describes a specific point within a given space that consists of neither volume, area, length, nor any other higher dimensional analogue. Thus, a point is a 0 dimensional… … Wikipedia
Non-Archimedean ordered field — In mathematics, a non Archimedean ordered field is an ordered field that does not satisfy the Archimedean property. Examples are the Levi Civita field, the hyperreal numbers, the surreal numbers, the Dehn field, and the field of rational… … Wikipedia
Whitehead's point-free geometry — In mathematics, point free geometry is a geometry whose primitive ontological notion is region rather than point. Two axiomatic systems are set out below, one grounded in mereology, the other in mereotopology and known as connection theory… … Wikipedia
