geometry

Definitions

  • WordNet 3.6
    • n geometry the pure mathematics of points and lines and curves and surfaces
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Webster's Revised Unabridged Dictionary
  • Interesting fact: Rene Descartes came up with the theory of coordinate geometry by looking at a fly walk across a tiled ceiling.
    • Geometry A treatise on this science.
    • Geometry 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.
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Century Dictionary and Cyclopedia
    • n geometry That branch of mathematics which deduces the properties of figures in space from their defining conditions, by means of assumed properties of space. Abbreviated geometry
    • n geometry A text-book of geometry.
    • n geometry Modern projective geometry, commonly written in German Geometrie der Lage, to distinguish it from .
    • n geometry Higher synthetic geometry in general.
    • n geometry The art of geometrical drawing.
    • n geometry Geometry of three dimensions.
    • n geometry The oldest classification of geometry is , that in which it is divided according to the method of logical procedure, namely into synthetic and analytic, the method of geometrical analysis having been invented or taught by Plato. In modern times this classification intertwines with another, namely , that which is based on the mental instrument or equipment used, giving: pure or synthetic geometry; rational; descriptive; projective; algebraic, algorithmic, analytical, Cartesian, or coördinate; differential, infinitesimal, natural, or intrinsic; enumerative or denumerative. Some of these are subdivided on the same principle, as: (α) geometry of the ruler or straight-edge; (β) of the ruler and sect-carrier; (γ) of the ruler and unitsect-carrier; (δ) of the compasses; of the ruler and compasses; (ζ) of linkages. Further divisions are: By dimensionality: geometry on the straight or on the line; two-dimensional geometry; (α) plane geometry; (β) spherics; (γ) pseudo-spherics; tri-dimensional geometry: (α) geometry of planes; (β) solid geometry; (γ) spherics; four-dimensional geometry: (α) geometry of straight?; (β) of hyperspace; n-dimeimonal geometry. By elements: point geometry; straight or line; plane; point, straight, and plane; straightest or geodesic; geometry of the sphere; of other elements, By subject-matter: pure descriptive, pure projective, or pure positional geometry, or geometry of position; topologic geometry; metric geometry; geometry of curves; of surfaces; of solids; of hyper-solids; of numbers; of motion or kinematic. By assumptions made, omitted, or denied: Euclidean geometry; non-Euclidean; metageometry, or pan-geometry; finite geometry; semi-Euclidean; non-Legendrian; Archimedean; non-Archimedean; non-Arguesian; non-Pascalian. By the kind of space or universe of the geometry: Euclidean or parabolic geometry; Bolyaian, Lobachevskian, Bolyai-Lobachevskian, absolute, or hyperbolic; Riemannian, spherical, or double elliptic; Killing's, single elliptic, or simple elliptic; Clifford's or Clifford-Kleinian. By the complexity or difficulty of the part treated: elementary geometry; higher, By the period of its development: ancient or the antique geometry; modern; recent, of the triangle, or the Lemoine-Brocard.
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Chambers's Twentieth Century Dictionary
    • n Geometry je-om′e-tri that branch of mathematics which treats of magnitude and its relations: a text-book of geometry
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Quotations

  • Gustave Flaubert
    Gustave Flaubert
    “All one's inventions are true, you can be sure of that. Poetry is as exact a science as geometry.”

Etymology

Webster's Revised Unabridged Dictionary
F. géométrie, 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
Chambers's Twentieth Century Dictionary
Fr. géométrie—L., Gr. geometria, the earth, metron, a measure.

Usage

In literature:

If you would give me some solid geometry, Margaret!
"Three Margarets" by Laura E. Richards
This is not the geometry in two books in which are mentioned the numerals.
"The Hindu-Arabic Numerals" by David Eugene Smith
The repulse of geometry to its proper rank came too late.
"Diderot and the Encyclopædists" by John Morley
He had, I suppose, school recollections of geometry.
"A Budget of Paradoxes, Volume I (of II)" by Augustus De Morgan
PRACTICAL PLANE AND SOLID GEOMETRY.
"The Education of American Girls" by Anna Callender Brackett
A straight line is in geometry termed a right line.
"Mechanical Drawing Self-Taught" by Joshua Rose
Both can be taught and are taught the same geometry.
"Essays Towards a Theory of Knowledge" by Alexander Philip
Proportion is the one quality in emotional geometry which is left out of their lesson of life.
"The Idler Magazine, Vol III. May 1893" by Various
I'd like to drop this old geometry into the Red Sea.
"Blue Bonnet in Boston" by Caroline E. Jacobs
Mr. James Thomson gave lessons in geometry to a youthful class.
"The History of Tasmania, Volume I (of 2)" by John West
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In poetry:

Forest strong sandals
burnt geometry fingers
around a fire
reading history in blackened
books, charcoal sentence
in moot splendor
"Wilderness" by James Douglas Morrison
This was a woman : her loves and stratagems
Betrayed in mute geometry of broken
Cogs and disks, inane mechanic whims,
And idle coils of jargon yet unspoken.
"Sonnet : To Eva" by Sylvia Plath
Till broken in the shift of quieter
Dense altitudes tangential of your steel,
I am become geometries, and glut
Expansions like a blind astronomer
Dazed, while the worldless heavens bulge and reel
In the cold revery of an idiot.
"The Subway" by Allen Tate

In news:

Another modifier key can also be used while manipulating geometry.
McKotch and Mrs Shelley took their applied geometry class to Home Depot this fall as part of their "Dream Home" project.
The architectural concept of the London Aquatics Centre is inspired by the fluid geometries of water in motion, creating spaces and a surrounding environment that reflect the riverside landscapes of the Olympic Park.
Scott and I started trying different ways to stitch together the landscapes in folded symmetries and used the shots that brought the most out of the architecture 's geometry and transported the viewer the most.
We all want smart geometry, right.
State adopts tough passing scores on new biology , geometry tests.
How to mesh a real geometry.
Use geometry to figure out the amount of material in storage or equipment.
The change gives 36 geometry students a higher semester grade.
Consult "The Geometry of Pasta".
0 Caz Hildebrand and Jacob Kenedy detail which pasta goes with which sauce in the beautifully designed cookbook "The Geometry of Pasta".
Often they also demand geometry and material property standards that actually go beyond the needs of the final part.
The GT-610 CNC centerless grinder from Glebar features a fully programmable CNC dresser that enables the user to form the wheel to custom geometries for high precision parts.
With this program, users can link SolidWorks' part model files into Mazatrol, reduce time required to input part geometry and prevent programming errors by extracting information directly from a part design.
Samantha Pawlucy, 16, of Port Richmond, says she was asked to leave geometry class at.
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In science:

The simplest such geometry is metric– affine geometry, in which nonmetricity appears as a field strength, side by side with curvature and torsion .
A class of colliding waves in metric-affine gravity, nonmetricity and torsion shock waves
Like the infinite membrane, the infinite L5-brane with geometry of a flat R4 ⊂ R9 can be viewed as a local limit of a large spherical geometry or it can be constructed directly.
M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
These functions can be interpreted as three-geometry to three-geometry transition amplitudes, computed to a certain order in a perturbative expansion.
A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
Moreover, the nonlinear generalized function setting was used in [2, 3] to calculate the energy momentum tensor of the extended Kerr geometry as well as in to unify several distributional approaches to the Schwarzschild geometry.
Generalized pseudo-Riemannian geometry
This allows finite three-geometry to three-geometry transition amplitudes to be perturbatively computed explicitly in the physical, lorentzian, 4d theory.
GR16: Quantum General Relativity
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