geometry

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Related to geometries: Euclid's axioms

ge·om·e·try

 (jē-ŏm′ĭ-trē)
n. pl. ge·om·e·tries
1.
a. The mathematics of the properties, measurement, and relationships of points, lines, angles, surfaces, and solids.
b. A system of geometry: Euclidean geometry.
c. A geometry restricted to a class of problems or objects: solid geometry.
d. A book on geometry.
2.
a. Configuration; arrangement.
b. A surface shape.
3. A physical arrangement suggesting geometric forms or lines.

[Middle English geometrie, from Old French, from Latin geōmetria, from Greek geōmetriā, from geōmetrein, to measure land : geō-, geo- + metron, measure; see mē- in Indo-European roots.]

ge·om′e·tri′cian (jē-ŏm′ĭ-trĭsh′ən, jē′ə-mĭ-), ge·om′e·ter n.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

geometry

(dʒɪˈɒmɪtrɪ)
n
1. (Mathematics) the branch of mathematics concerned with the properties, relationships, and measurement of points, lines, curves, and surfaces. See also analytical geometry, non-Euclidean geometry
2. (Mathematics)
a. any branch of geometry using a particular notation or set of assumptions: analytical geometry.
b. any branch of geometry referring to a particular set of objects: solid geometry.
3. a shape, configuration, or arrangement
4. (Art Terms) arts the shape of a solid or a surface
[C14: from Latin geōmetria, from Greek, from geōmetrein to measure the land]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

ge•om•e•try

(dʒiˈɒm ɪ tri)

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.
2. any specific system of this that operates in accordance with a specific set of assumptions: Euclidean geometry.
3. a book on geometry, esp. a textbook.
4. the shape or form of a surface or solid.
5. a design or arrangement of objects in simple rectilinear or curvilinear form.
[1300–50; Middle English < Latin geōmetria < Greek geōmetría. See geo-, -metry]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ge·om·e·try

(jē-ŏm′ĭ-trē)
The mathematical study of the properties, measurement, and relationships of points, lines, planes, surfaces, angles, and solids.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

geometry

the branch of mathematics that treats the measurement, relationship, and properties of points, lines, angles, and flgures in space. — geometer, geometrician, n. — geometric, geometrical, adj.
See also: Mathematics
-Ologies & -Isms. Copyright 2008 The Gale Group, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.geometry - the pure mathematics of points and lines and curves and surfacesgeometry - the pure mathematics of points and lines and curves and surfaces
superposition - (geometry) the placement of one object ideally in the position of another one in order to show that the two coincide
duality - (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
affine geometry - the geometry of affine transformations
elementary geometry, Euclidean geometry, parabolic geometry - (mathematics) geometry based on Euclid's axioms
fractal geometry - (mathematics) the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry"
non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
spherical geometry - (mathematics) the geometry of figures on the surface of a sphere
analytic geometry, analytical geometry, coordinate geometry - the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
plane geometry - the geometry of 2-dimensional figures
solid geometry - the geometry of 3-dimensional space
descriptive geometry, projective geometry - the geometry of properties that remain invariant under projection
plane section, section - (geometry) the area created by a plane cutting through a solid
pencil - a figure formed by a set of straight lines or light rays meeting at a point
conic, conic section - (geometry) a curve generated by the intersection of a plane and a circular cone
eccentricity - (geometry) a ratio describing the shape of a conic section; the ratio of the distance between the foci to the length of the major axis; "a circle is an ellipse with zero eccentricity"
foursquare, square - (geometry) a plane rectangle with four equal sides and four right angles; a four-sided regular polygon; "you can compute the area of a square if you know the length of its sides"
angle of inclination, inclination - (geometry) the angle formed by the x-axis and a given line (measured counterclockwise from the positive half of the x-axis)
diagonal - (geometry) a straight line connecting any two vertices of a polygon that are not adjacent
translate - change the position of (figures or bodies) in space without rotation
construct - draw with suitable instruments and under specified conditions; "construct an equilateral triangle"
inscribe - draw within a figure so as to touch in as many places as possible
circumscribe - to draw a geometric figure around another figure so that the two are in contact but do not intersect
truncate - replace a corner by a plane
congruent - coinciding when superimposed
incongruent - not congruent
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
هندسَه
geometrie
geometri
geomeetria
geometria
रेखा गणित
geometrija
mértangeometria
rúmfræîi
幾何学
기하학
geometrijageometrinisgeometriškai
ģeometrija
geometria
geometrija
geometri

geometry

[dʒɪˈɒmɪtrɪ] Ngeometría f
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

geometry

[dʒiˈɒmɪtri] n
(MATHEMATICS)géométrie f
(= layout) [thing, place] → géométrie f
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

geometry

n (Math) → Geometrie f; geometry set (→ Zirkelkasten mmit) → Zeichengarnitur f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

geometry

[dʒɪˈɒmɪtrɪ] ngeometria
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

geometry

(dʒiˈomətri) noun
a branch of mathematics dealing with the study of lines, angles etc. He is studying geometry.
geometric(al) (dʒiəˈmetrik(əl)) adjective
made up of lines, circles etc and with a regular shape. a geometrical design on wallpaper.
ˌgeoˈmetrically adverb
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.
References in periodicals archive ?
The essays consider non-Euclidean geometry in a broad sense, including the classical geometries of constant curvature (spherical and hyperbolic), but also de Sitter, anti-de Sitter, co-Euclidean, co-Minkowski, Hermitian geometries, and others.
Note that geometries 1,2, and 3 are moldable and can be created using conventional investment casting, hybrid investment casting or metal printing.
The introduction of the notion of Lagrange space and the establishment of the basic properties of these spaces is the third major contribution of Professor Radu Miron in the Finsler type geometries. The fourth significant contribution is to introduce and establish the main properties of the Hamilton spaces.
Various trouser tear geometries have been developed (ASTM D624 and D470).
Walter USA (walter-tools.com/us) has launched a new series of insert geometries for turning a wide-range of materials.
The topics are informal topology, graphs, surfaces, graphs and surfaces, knots and links, the differential geometry of surfaces, Riemann geometries, hyperbolic geometry, the fundamental group, general topology, and polytopes.
We carried out electrochemical experiments to verify the effect of the optimized geometries.
We present a general class of geometries resulted from paradoxism.
Both these geometries have many results in common but many are different.
The following subjects are addressed: special geometry and supersymmetry, generalized geometry, geometries with torsion, para-geometries, holonomy theory, symmetric spaces and spaces of constant curvature, and conformal geometry.
On the other hand in 1870 Felix Klein produced an account that unified a large class of different geometries. According to Klein--Cayley there are at least nine different geometries in the plane, three of which are the previous mentioned Euclidean, Hyperbolic and Elliptic.
Hence, and based on previous work (Gutierrez et al., 2009), an InspF is defined as: "A geometry or group of geometries of a part participating in one o more functional chains (product mating).