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Longman Dictionary of Contemporary English
plane geometry
▪ Previously, Euclidean geometry had stated that parallel lines never meet.
▪ However, certain ideas taken from ordinary Euclidean geometry are very helpful for us.
▪ However, this revelation did not bring about the destruction of Euclidean geometry, it simply added to it.
▪ Why do I refer to Euclidean geometry as a physical theory rather than a branch of mathematics?
▪ These principles can be applied to energise and bring to life the hard edges of Euclidean geometry and of the drawing board.
▪ It is also mathematics, of course, but Euclidean geometry is by no means the only conceivable mathematical geometry.
▪ Let us think about Euclidean geometry first.
▪ For example, recall that in Euclidean geometry the sum of the angles of any triangle is always 1800.
▪ All the principles of sacred geometry were applied in their construction.
▪ Figure 2 clearly shows the geometry involved.
▪ However, this revelation did not bring about the destruction of Euclidean geometry, it simply added to it.
▪ I got a D-plus on a geometry test.
▪ In many experiments, the entry geometry has involved sharp edges or corners and there was probably a region of separated flow.
▪ The biometric security market also includes voice recognition and hand geometry devices.
▪ The first development as Ra is increased from a value a little above critical is a change in the geometry of steady convection.
▪ There are also a few experiments in Earth geometry that gain from the rapid transfer of data between distant schools.
▪ This, in turn became a basic geometry for the pointed gothic arch.
The Collaborative International Dictionary

Geometry \Ge*om"e*try\, n.; pl. Geometries[F. g['e]om['e]trie, 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.]

  1. 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. A treatise on this science.

    Analytical geometry, or Co["o]rdinate geometry, that branch of mathematical analysis which has for its object the analytical investigation of the relations and properties of geometrical magnitudes.

    Descriptive geometry, that part of geometry which treats of the graphic solution of all problems involving three dimensions.

    Elementary geometry, that part of geometry which treats of the simple properties of straight lines, circles, plane surface, solids bounded by plane surfaces, the sphere, the cylinder, and the right cone.

    Higher geometry, that pert of geometry which treats of those properties of straight lines, circles, etc., which are less simple in their relations, and of curves and surfaces of the second and higher degrees.


Mathematics \Math`e*mat"ics\, n. [F. math['e]matiques, pl., L. mathematica, sing., Gr. ? (sc. ?) science. See Mathematic, and -ics.] That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations. Note: Mathematics embraces three departments, namely:

  1. Arithmetic.

  2. Geometry, including Trigonometry and Conic Sections.

  3. Analysis, in which letters are used, including Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical considerations.

Douglas Harper's Etymology Dictionary

early 14c., from Old French géométrie (12c.), from Latin geometria, from Greek geometria "measurement of earth or land; geometry," from comb. form of ge "earth, land" (see Gaia) + -metria (see -metry). Rendered in Old English as eorðcræft.


n. 1 (context mathematics uncountable English) the branch of mathematics dealing with spatial relationships 2 (context mathematics countable English) a type of geometry with particular properties 3 (context countable English) the spatial attributes of an object, etc.


n. the pure mathematics of points and lines and curves and surfaces

Geometry (Jega album)

Geometry is the second album by electronic musician Jega, released in 2000 on the Planet Mu label.

Geometry (Ivo Perelman album)

Geometry is an album by Brazilian jazz saxophonist Ivo Perelman featuring American pianist Borah Bergman, which was recorded in 1996 and released on the English Leo label.

Geometry (Robert Rich album)

Geometry (1991) is an album by the American ambient and electronic musician Robert Rich. Although completed in 1988, this album was not released until three years later.

This album is more active and structured than any of his previous works. The music was inspired in part by the complex patterns of Islamic designs like those found at the Alhambra, and features complex just intonation. The first three tracks consist of complex layered sequences of electronic notes in rich, organic-sounding chime tones. Rich revisited this style in Gaudí (1991) and Electric Ladder (2006). Tracks 4 through 7 are slow textures more common to Robert Rich’s work. The album ends with another active piece similar to the first three tracks.

Tracks 1, 2, 4 and 8 were mixed by Robert Rich and future collaborator Steve Roach at Roach’s studio in Venice, California. This album was released in a two CD set with Numena in 1997.

Geometry (disambiguation)

Geometry is a branch of mathematics dealing with spatial relationships.

Geometry or geometric may also refer to:

  • Geometric distribution of probability theory and statistics
  • Geometric series, a mathematical series with a constant ratio between successive terms
  • Geometric (typeface classification), a class of sans-serif typeface styles
  • Geometry (Robert Rich album), a 1991 album by American musician Robert Rich
  • Geometry (Ivo Perelman album), a 1997 album by Brazilian saxophonist Ivo Perelman
  • Geometry (Jega album), a 2000 album by English musician Jega
See also:

Geometry (from the ; geo- "earth", -metron "measurement") 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 formal mathematical science emerging in the West as early as Thales (6th century BC). 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 as it relates to mapping the positions of 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. In the classical world, both geometry and astronomy were considered to be part of the Quadrivium, a subset of the seven liberal arts considered essential for a free citizen to master.

The introduction of coordinates by René Descartes and the concurrent developments of algebra marked a new stage for geometry, since geometric figures such as plane curves could now be represented analytically in the form of functions and equations. This played a key role in the emergence of infinitesimal calculus in the 17th century. Furthermore, the theory of perspective showed that there is more to geometry than just the metric properties of figures: perspective is the origin of projective geometry. The subject of geometry was further enriched by the study of the intrinsic structure of geometric objects that originated with Euler and Gauss and led to the creation of topology and differential geometry.

In Euclid's time, there was no clear distinction between physical and geometrical space. Since the 19th-century discovery of non-Euclidean geometry, the concept of space has undergone a radical transformation and raised the question of which geometrical space best fits physical space. With the rise of formal mathematics in the 20th century, 'space' (whether 'point', 'line', or 'plane') lost its intuitive contents, so today one has to distinguish between physical space, geometrical spaces (in which 'space', 'point' etc. still have their intuitive meanings) and abstract spaces. Contemporary geometry considers manifolds, spaces that are considerably more abstract than the familiar Euclidean space, which they only approximately resemble at small scales. These spaces may be endowed with additional structure which allow one to speak about length. Modern geometry has many ties to physics as is exemplified by the links between pseudo-Riemannian geometry and general relativity. One of the youngest physical theories, string theory, is also very geometric in flavour.

While the visual nature of geometry makes it initially more accessible than other mathematical areas such as algebra or number theory, geometric language is also used in contexts far removed from its traditional, Euclidean provenance (for example, in fractal geometry and algebraic geometry).

Usage examples of "geometry".

These patterns are abstracted for the most part from leaves and flowers - the rose, the lotus, the acanthus, palm, papyrus - and are elaborated, with recurrences and variations, into something transportingly reminiscent of the living geometries of the Other World.

These papers, of which there are over 500, are chiefly concerned with sacred geometry and architecture, and cabalistic, Masonic, hermetic and alchemical symbols.

The children were using the equivalent of algebraic reasoning, while adults used geometry.

In the physical framework of general relativity and in the corresponding mathematical framework of Riemannian geometry there is a single concept of distance, and it can acquire arbitrarily small values.

The carapace of the instrument binnacle, the inclined planes of the dashboard panel, the metal sills of the radio and ashtrays gleamed around me like altarpieces, their geometries reaching towards my body like the stylized embraces of some hyper-cerebral machine.

In the starpatterns he saw the origin: light, the ardor and selflessness of It, the chthonic journey, descanting into geometry, echoing across the shell of time as language: mesons talking atoms into being, molecular communities communicating, no end to It, only addition, time, the futureless deception, until the final addition, the mindfire of consciousness that burns through the drug of dreams and anneals the pain of living with the living pain.

Knowing his worldwide reputation, I expected him to put her some problem in geometry, but he only asked whether a lie could be justified on the principle of a mental reservation.

It was a simple, geocentric, Copernican model, based on Euclidean geometry and Newtonian mechanics.

They seized knowledge wherever they found it: from the Arabs they took the principles of sacred geometry, and their apparent close contacts with the Cathars added an extra Gnostic gloss to their already heterodox religious ideas.

These empirical regularities are mathematically derivable from universal principles of natural kinds and probabilistic geometry that may, through evolutionary internalization, tend to govern the behaviors of all sentient organisms.

The notes lacked away, his schedule set, insistent sleep craved, Robles stumbled toward awareness quickly, rising through the flickering levels of illumination, reaching toward the weight of sixty-seven million crushing years and found himself lying tangled on the earth, the ropes of the tent a geometry of madness spattering shadows.

The ship was shuddering like a frightened animal in the changing geometry.

You wandered through the cubes of a tesseract, trying to work out the geometry of its intrusion into three-space.

He watched her dance, a random cipher drawing its signature across the time-slopes of this dissolving yantra, a symbol in a transcendental geometry.

I felt the insidious tilt at the corners of perception as the tetrameth went barrelling along my synapses, and when it was my turn to do Trepp I almost got lost in the geometries of her face.