What does geometry mean?

Definitions for geometry
dʒiˈɒm ɪ trige·om·e·t·ry

This dictionary definitions page includes all the possible meanings, example usage and translations of the word geometry.

Princeton's WordNet

  1. geometrynoun

    the pure mathematics of points and lines and curves and surfaces

Wiktionary

  1. geometrynoun

    the branch of mathematics dealing with spatial relationships

  2. geometrynoun

    a type of geometry with particular properties

    spherical geometry

  3. geometrynoun

    the spatial attributes of an object, etc.

Samuel Johnson's Dictionary

  1. GEOMETRYnoun

    Originally signifies the art of measuring the earth, or any distances or dimensions on or within it: but it is now used for the science of quantity, extension, or magnitude abstractedly considered, without any regard to matter.

    Etymology: γεωμετρία; geometrie, French.

    Geometry very probably had its first rise in Egypt, where the Nile annually overflowing the country, and covering it with mud, obliged men to distinguish their lands one from another, by the consideration of their figure; and after which, ’tis probable, to be able also to measure the quantity of it, and to know how to plot it, and lay it out again in its just dimensions, figure and proportion: after which, it is likely, a farther contemplation of those draughts and figures helped them to discover many excellent and wonderful properties belonging to them; which speculations were continually improving, and are still to this day. Geometry is usually divided into speculative and practical; the former of which contemplates and treats of the properties of continued quantity abstractedly; and the latter applies these speculations and theorems to use and practice, and to the benefit and advantage of mankind. John Harris.

    In the muscles alone there seems to be more geometry than in all the artificial engines in the world. John Ray, on the Creation.

    Him also for my censor I disdain,
    Who thinks all science, as all virtue, vain;
    Who counts geometry and numbers toys,
    And with his foot the sacred dust destroys. John Dryden, Pers. Sat.

Wikipedia

  1. Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land', and μέτρον (métron) 'a measure') is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' Theorema Egregiumcode: lat promoted to code: la ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied intrinsically, that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries without the parallel postulate (non-Euclidean geometries) can be developed without introducing any contradiction. The geometry that underlies general relativity is a famous application of non-Euclidean geometry. Since then, the scope of geometry has been greatly expanded, and the field has been split in many subfields that depend on the underlying methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or on the properties of Euclidean spaces that are disregarded—projective geometry that consider only alignment of points but not distance and parallelism, affine geometry that omits the concept of angle and distance, finite geometry that omits continuity, and others. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained unsolved for several centuries.

ChatGPT

  1. geometry

    Geometry is a branch of mathematics that deals with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids. It involves the study of shapes, sizes, relative positions of those shapes, and the properties of space. Geometry is mostly divided into two types: plane geometry, which deals with objects and shapes on a two-dimensional level like squares and circles; and solid geometry that deals with objects in three-dimensions such as cubes and spheres.

Webster Dictionary

  1. Geometrynoun

    that branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space

  2. Geometrynoun

    a treatise on this science

  3. Etymology: [F. gomtrie, L. geometria, fr. Gr. , fr. to measure land; ge`a, gh^, the earth + to measure. So called because one of its earliest and most important applications was to the measurement of the earth's surface. See Geometer.]

Wikidata

  1. Geometry

    Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early as Thales. By the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. Both geometry and astronomy were considered in the classical world to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.

Chambers 20th Century Dictionary

  1. Geometry

    je-om′e-tri, n. that branch of mathematics which treats of magnitude and its relations: a text-book of geometry.—ns. Geom′eter, Geometri′cian, one skilled in geometry.—adjs. Geomet′ric, -al.—adv. Geomet′rically.—v.i. Geom′etrise, to study geometry.—n. Geom′etrist. [Fr. géométrie—L., Gr. geometria, the earth, metron, a measure.]

Military Dictionary and Gazetteer

  1. geometry

    That branch of mathematics which investigates the relations, properties and measurements of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes. Its usefulness extends to almost every art and science. It is by the assistance of geometry that engineers conduct all their works, take the situation and plans of towers, the distances of places, and the measure of such things as are only accessible to the sight. It is not only an introduction to fortification, but highly necessary to mechanics. On geometry, likewise, depends the theory of gunnery, mining, mechanics, hydraulics, pneumatics, etc.

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Numerology

  1. Chaldean Numerology

    The numerical value of geometry in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of geometry in Pythagorean Numerology is: 9

Examples of geometry in a Sentence

  1. Laura Bachrach:

    We’re really worried about this because there’s sort of this critical time between being born and reaching the early 20s when you’re setting up the scaffolding of life (in terms of the geometry and density of the bone), you sort of max out in your early 20s and there is real concern that the lifestyle of young people nowadays versus 40 or 50 years ago is setting people up to be more at risk as adults for not having a very robust bone bank as they age.

  2. Stephen Hawking:

    Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.

  3. The FIA:

    A possible geometry has been developed and the FIA is currently working with teams in Formula One on further defining its geometry.

  4. Morgan Sword:

    We’re talking about but we have n’t made a firm decision yet of whether to modify the geometry of the Atlantic League strike zone a little bit, the zone that’s actually called by major league umpires is kind of like an oval. And going to a two-dimensional zone that has corners in it is going to be pitcher friendly because you’re adding space to the strike zone.

  5. Martin Gardner:

    There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry.

Popularity rank by frequency of use

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"geometry." Definitions.net. STANDS4 LLC, 2024. Web. 26 May 2024. <https://www.definitions.net/definition/geometry>.

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