quadrature

Definitions

  • WordNet 3.6
    • n quadrature the construction of a square having the same area as some other figure
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Webster's Revised Unabridged Dictionary
    • Quadrature A quadrate; a square.
    • Quadrature (Math) The act of squaring; the finding of a square having the same area as some given curvilinear figure; as, the quadrature of a circle; the operation of finding an expression for the area of a figure bounded wholly or in part by a curved line, as by a curve, two ordinates, and the axis of abscissas.
    • Quadrature (Integral Calculus) The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable.
    • Quadrature (Astron) The position of one heavenly body in respect to another when distant from it 90°, or a quarter of a circle, as the moon when at an equal distance from the points of conjunction and opposition.
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Century Dictionary and Cyclopedia
    • n quadrature In geometry, the act of squaring an area; the finding of a square or several squares equal in area to a given surface.
    • n quadrature A quadrate; a square space.
    • n quadrature The relative position of two planets, or of a planet and the sun, when the difference of their longitudes is 90°.
    • n quadrature But when armillæ were employed to observe the moon in other situations … a second inequality was discovered, which was connected, not with the anomalistical, but with the synodical revolution of the moon, disappearing in conjunctions and oppositions, and coming to its greatest amount in quadratures. What was most perplexing about this second inequality was that it did not return in every quadrature, but, though in some it amounted to 2° 39′ , in other quadratures it totally disappeared.
    • n quadrature A side of a square.
    • n quadrature In electricity, phase difference of 90°, or one quarter period.
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Chambers's Twentieth Century Dictionary
    • Quadrature a squaring: :
    • Quadrature (geom.) the finding, exactly or approximately, of a square that shall be equal to a given figure of some other shape: the position of a heavenly body when 90° distant from another
    • Quadrature (Milt.) a square space
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Etymology

Webster's Revised Unabridged Dictionary
L. quadratura,: cf. F. quadrature,. See Quadrate (a.)
Chambers's Twentieth Century Dictionary
O. Fr. quadrat—L. quadratus, pa.p. of quadrāre, to square—quatuor, four.

Usage

In literature:

Will they not seek the quadrature of the circle, even when on their wives?
"The Essays of Montaigne, Complete" by Michel de Montaigne
A solution of the secular problem of the quadrature of the circle, government premium 1,000,000 pounds sterling.
"Ulysses" by James Joyce
It is just the same with the quadrature of the circle.
"The Exemplary Novels of Cervantes" by Miguel de Cervantes Saavedra
Aboue the which stood an vnequal quadrature three foot long, two foot broad, and six foote high.
"Hypnerotomachia" by Francesco Colonna
If the moon is in quadrature, the effect will be null.
"Outlines of a Mechanical Theory of Storms" by T. Bassnett
The quadrature deserved it; but that is another point.
"A Budget of Paradoxes, Volume I (of II)" by Augustus De Morgan
IV was in quadrature.
"A Matter of Importance" by William Fitzgerald Jenkins
The moon is said to be in quadrature at the first and last quarter, when her longitude differs 90 deg.
"The Sailor's Word-Book" by William Henry Smyth
And now I have made my own age a problem of quadrature, and Mr. J. Smith may solve it.
"A Budget of Paradoxes, Volume II (of II)" by Augustus de Morgan
From the Table I., or by quadrature of the curve in fig.
"Encyclopaedia Britannica, 11th Edition, Volume 3, Part 1, Slice 2" by Various
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In news:

The LTC5585 quadrature demodulator is capable of baseband output demodulation bandwidth of greater than 530 MHz.
Compared tosuperheterodyne architectures, a monolithic, high-linearity quadrature demodulator is vowing to reduce the component count of the receive signal chain in third-generation (3G) base stations by at least 75 percent.
The 90000X-Series real-time oscilloscopes from Agilent Technologies provide the capability to capture and analyze multiple signals or in-phase (I) and quadrature (Q) signal components at extremely high frequencies.
The circuit uses two transformers to convert three- phase power to two- phase for hum-free operation of the filaments of the final pair of tubes operating in phase quadrature.
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In science:

The function A(t), on the other hand, is then obtained by the quadrature from (6).
Exact Inflationary Solutions from a Superpotential
Here E is the particle energy in GeV, and the symbol ⊕ implies that the stochastic and constant terms in the resolution are combined in quadrature.
Studies of the Response of the Prototype CMS Hadron Calorimeter, Including Magnetic Field Effects, to Pion, Electron, and Muon Beams
This prediction uncertainty is subtracted in quadrature from the measured spatial resolution in the results shown below.
Performance of prototype BTeV silicon pixel detectors in a high energy pion beam
It is evident that the no-energy-transfer regime is not useful for the quadrature squeezing generation.
Quantum, classical and semiclassical analyses of photon statistics in harmonic generation
This is a Bernoulli equation and, unlike the Riccati equation, it is readily soluble in quadratures.
Static charged perfect fluid spheres in general relativity
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