# Euclidean geometry

Euclidean geometry
The Plane geometry learned in high school, based upon a few ideal, smooth, symmetric shapes. Bloomberg Financial Dictionary

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• Euclidean geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… …   Universalium

• 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

• euclidean geometry — noun Usage: often capitalized E Date: circa 1865 1. geometry based on Euclid s axioms 2. the geometry of a euclidean space …   New Collegiate Dictionary

• Euclidean geometry — noun (mathematics) geometry based on Euclid s axioms • Syn: ↑elementary geometry, ↑parabolic geometry • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑ …   Useful english dictionary

• Euclidean geometry — noun The familiar geometry of the real world, based on the postulate that through any two points there is exactly one straight line …   Wiktionary

• Euclidean geometry — Euclid′ean geom′etry n. math. geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line • Etymology: 1860–65 …   From formal English to slang

• Euclidean geometry — /juˌklɪdiən dʒiˈɒmətri/ (say yooh.klideeuhn jee omuhtree) noun a system of plane (two dimensional) and solid (three dimensional) geometry developed by Euclid, in which all theorems are developed logically from a finite number of axioms …

• non-Euclidean geometry — geometry based upon one or more postulates that differ from those of Euclid, esp. from the postulate that only one line may be drawn through a given point parallel to a given line. [1870 75; NON + EUCLIDEAN] * * * Any theory of the nature of… …   Universalium

• Non-Euclidean geometry — Behavior of lines with a common perpendicular in each of the three types of geometry Non Euclidean geometry is the term used to refer to two specific geometries which are, loosely speaking, obtained by negating the Euclidean parallel postulate,… …   Wikipedia

• Models of non-Euclidean geometry — are mathematical models of geometries in which are non Euclidean in the sense that it is not the case that exactly one line can be drawn parallel to a given line l through a point that is not on l. In hyperbolic geometric models, by contrast,… …   Wikipedia