Crossword clues for quadrature
The Collaborative International Dictionary
Quadrature \Quad"ra*ture\, n. [L. quadratura: cf. F. quadrature. See Quadrate, a.]
(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.
A quadrate; a square.
--Milton.(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.
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(Astron.) The position of one heavenly body in respect to another when distant from it 90[deg], or a quarter of a circle, as the moon when at an equal distance from the points of conjunction and opposition.
Quadrature of the moon (Astron.), the position of the moon when one half of the disk is illuminated.
Quadrature of an orbit (Astron.), a point in an orbit which is at either extremity of the latus rectum drawn through the empty focus of the orbit.
Wiktionary
n. 1 The process of making something square; squaring. 2 (context mathematics English) The act or process of constructing a square that has the same area as a given plane figure, or of computing that area. 3 The act or process of finding the indefinite integral. 4 (context astronomy English) a situation in which three celestial bodies form a right-angled triangle, the observer being located at the right angle 5 (context physics English) the condition in which the phase angle between two alternating quantities is 90°. 6 (context arts English) A painting painted on a wooden panel.
WordNet
n. the construction of a square having the same area as some other figure
Wikipedia
Quadrature may refer to:
In signal processing:
- Quadrature amplitude modulation (QAM), a modulation method of using both an (in-phase) carrier wave and a 'quadrature' carrier wave that is 90° out of phase with the main, or in-phase, carrier
- Quadrature phase, oscillations that are said to be in quadrature if they are separated in phase by 90° (π/2, or λ/4)
- Quadrature filter, the analytic signal of a real-valued filter
- Quadrature phase-shift keying (QPSK), a phase-shift keying of using four quadrate points on the constellation diagram, equispaced around a circle
In mathematics:
- Quadrature (mathematics), drawing a square with the same area as a given plane figure (squaring) or computing that area
- Numerical integration is often called 'numerical quadrature' or simply 'quadrature'
- Gaussian quadrature, a special case of numerical integration
- Formerly, a synonym for "integral"
- Integral
- Antiderivative
In physics:
- In Optical phase space, quadratures are operators which represent the real and imaginary parts of the complex amplitude; see also in-phase and quadrature components
In astronomy:
- Quadrature (astronomy), the position of a body (moon or planet) such that its elongation is 90° or 270°; i.e. the body-earth-sun angle is 90°
Quadrature may also refer to:
- In motion control, quadrature encoder is a rotary encoder or linear encoder giving both the relative position and the direction of motion of a shaft
- Illusionistic ceiling painting, sometimes called quadrature after the Italian term, quadratura
In mathematics, quadrature is a historical term which means determining area. Quadrature problems served as one of the main sources of problems in the development of calculus, and introduce important topics in mathematical analysis.
In astronomy, quadrature is the aspect of a celestial object in which it makes a right angle with the direction of the Sun. It is applied especially to the apparent position of a superior planet, or of the Moon at first and last quarters.
As shown in the following diagram, a planet (or other object) can be at the western quadrature (when it is to the west of the Sun when viewed from the Earth) or at the eastern quadrature (when it is to the east of the Sun when viewed from the Earth). Note that an inferior planet can never be at quadrature to the reference planet.
Usage examples of "quadrature".
Nay, Aristotle would not have missed the quadrature of the circle, if only baleful conflicts had spared the books of the ancients, who knew all the methods of nature.
A solution of the secular problem of the quadrature of the circle, government premium 1,000,000 pounds sterling.
FM radiation is in ninety-degree quadrature with equal amplitudes and a high aperture efficiency.
But if he was very persistent, and the chase became too hot, it was easy to draw a red herring across the track, the aforesaid red herring generally taking the shape of one of those venerable questions, which, like the trisection of an angle, or the quadrature of a circle, or the secret of perpetual motion, shall never be finally solved.
Euen so after inuention, the principall and speciall rule, for an Architector is a quadrature, the same deuided into smales the harmonie and sweete consent of the building, setteth foorth it selfe, and the conuenient adiunctes, agreeable to theyr principall.
Aboue the which stood an vnequal quadrature three foot long, two foot broad, and six foote high.
The Grand Arcanum makes him master of gold and the light, which are at bottom the same thing, he has solved the problem of the quadrature of the circle, he directs the perpetual movement, and he possesses the philosophical stone.
The Square, turning upon itself, produces the circle equal to itself, and the circular movement of four equal angles turning around one point, is the quadrature of the circle.
Q Quadrature of the circle indicates the knowledge of the four vulgar elements, 629-m.
Triangulation and quadrature of the beacons works for navigationonly it follows its own rules.
Now, by following out the principles of the theory, we shall see that this cannot be the case, except when the moon is in quadrature with the sun.
After that, from June 1 to June 24, and from September 25 to October 16, Saturn in Capricorn, Jupiter in Aquarius, Mars in Scorpio, Venus in Pisces, Mercury for a month in Capricorn, Aquarius and Pisces, the Moon in Aquarius, the Dragon's head in Libra: its tail in opposition following a conjunction of Jupiter and Mercury with a quadrature of Mars and Mercury, and the Dragon's head coinciding with a conjunction of the Sun and Jupiter.
In the first side of the Cube (id est the Chronoscopium Universalis) you can see eight wheels arranged in perennial cycles represent the Calendars of Julius and of Gregory, and when recur the Sundays and the Epacts, and the Solar Circle, and the Moveable and Paschal Feasts, and novilunes and plenilunes, quadratures of the sun and moon.