Definitions

• WordNet 3.6
• n quadrate a square-shaped object
• n quadrate a cubelike object
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Webster's Revised Unabridged Dictionary
• Quadrate (Geom) A plane surface with four equal sides and four right angles; a square; hence, figuratively, anything having the outline of a square. "At which command, the powers militant
That stood for heaven, in mighty quadrate joined."
• Quadrate (Astrol) An aspect of the heavenly bodies in which they are distant from each other 90°, or the quarter of a circle; quartile. See the Note under Aspect, 6.
• Quadrate Having four equal sides, the opposite sides parallel, and four right angles; square. "Figures, some round, some triangle, some quadrate ."
• Quadrate Produced by multiplying a number by itself; square. "Quadrate and cubical numbers."
• Quadrate Square; even; balanced; equal; exact. "A quadrate , solid, wise man."
• v. t Quadrate To adjust (a gun) on its carriage; also, to train (a gun) for horizontal firing.
• v. i Quadrate To square; to agree; to suit; to correspond; -- followed by with. "The objections of these speculatists of its forms do not quadrate with their theories."
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Century Dictionary and Cyclopedia
• quadrate Having four equal and parallel sides; square; arranged in a square; four-sided.
• quadrate Square by being the product of a number multiplied into itself.
• quadrate Square, as typifying justice according to the Pythagoreans; well-balanced.
• quadrate In heraldry, of square form, or having square corners: thus, a cross quadrate in the center has four rectangular projections in its reëntrant angles. Also quarter-angled.
• quadrate The quadratus lumborum, or square muscle of the loins, lying on each side of the lumbar region, between the lower ribs and the pelvis.
• quadrate The square muscle of the chin, which draws down the lower lip: commonly called depressor labii inferioris.
• quadrate The quadratus nictitantis, one of the two muscles (the other being the pyramidal) on the back of the eyeball of birds, etc., subserving the movements of the nictitating membrane, or third eyelid. See third cut under eye.
• n quadrate A plane figure with four equal sides and four equal angles; a square.
• n quadrate In astrology, an aspect of two heavenly bodies in which they are distant from each other ninety degrees, or the quarter of a circle; quartile.
• n quadrate In musical notation: Same as natural, ♮: so called because derived from B quadratum (which see, under B).
• n quadrate Same as breve, 1.
• quadrate To square; adjust; trim, as a gun on its carriage.
• quadrate To divide into four equal parts: quarter.
• quadrate To square; fit; suit; agree: followed by with.
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Chambers's Twentieth Century Dictionary
• adj Quadrate kwod′rāt squared: having four equal sides and four right angles: divisible into four equal parts:
• n Quadrate a square or quadrate figure: the quadrate bone, that between the lower jaw and the cranium in birds and reptiles, suspending the lower jaw
• v.i Quadrate to square or agree with: to correspond
• n Quadrate (alg.) an equation in which the highest power of the unknown quantity is the second: an old instrument for measuring latitudes:
• n Quadrate (pl.) that branch of algebra which treats of quadratic equations
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Etymology

Webster's Revised Unabridged Dictionary
L. quadratus, squared, p. p. of quadrare, to make four-cornered, to make square, to square, to fit, suit, from quadrus, square, quattuor, four. See Quadrant, and cf. Quadrat Quarry an arrow, Square

Usage

In literature:

It is a fine upright column about seven feet high, and stands on a quadrate base.
"Wild Wales Its People, Language and Scenery" by George Borrow
For if they quadrate, how is either the greater?
"Essays and Miscellanies" by Plutarch
Also unusual are the niches between the doorways, made in the form of an elaborate quadrate cross.
"Inca Land" by Hiram Bingham
Upon a raised terrace, to which stone steps lead, stand circular tables, semicircular and quadratic curves, etc.
"A Woman's Journey Round the World" by Ida Pfeiffer
QUADRATIC EQUATION, an equation involving the square of the unknown quantity.
"The Nuttall Encyclopaedia" by Edited by Rev. James Wood
All I ask is to live simply and sensibly, but instead of that my existence is transformed into a quadratic equation.
"Mr. Prohack" by E. Arnold Bennett
"The Tinder-Box" by Maria Thompson Daviess
"Phyllis" by Maria Thompson Daviess
Both objects he took to be something like flat quadrates.
"The Mind of the Child, Part II" by W. Preyer
I actually succeeded in drumming quadratic equations into his stupid head, and he offered me his hand by the way of reward.
"Grace Harlowe's Problem" by Jessie Graham Flower
The quadrate cartilage of the frog is superseded by the squamosal as the suspensorium of the lower jaw.
"Text Book of Biology, Part 1: Vertebrata" by H. G. Wells
One of the men picked up three em quadrats from a case near at hand.
"Despair's Last Journey" by David Christie Murray
"Explanation of Terms Used in Entomology" by John. B. Smith
What accident or god can then Have quadrated mine area?
"A Budget of Paradoxes, Volume I (of II)" by Augustus De Morgan
Lodicules are cuneate or quadrate and two in number.
"A Handbook of Some South Indian Grasses" by Rai Bahadur K. Ranga Achariyar
"Textiles" by William H. Dooley
And I've got through the first three books of Euclid, and in Algebra I got through quadratic equations.
"Eunice" by Margaret Murray Robertson
It is with the quadrate bone also that the inferior maxillary articulates.
"Artistic Anatomy of Animals" by Édouard Cuyer
How very little all this quadrates with our popular impressions of the common hangman!
"Dealings With The Dead" by A Sexton of the Old School
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In poetry:

Dinanzi a tutti,--accanto alla bandiera,
Marciava un uffiziale--dal torace spazioso,
Colla fronte dimessa;--parea sopra pensieri.
"Fuoco" by Ferdinando Fontana

In news:

The quadratic formula, parabolas, the Fibonacci sequence.
The formulas are based on quadratic polynomials for the construction of derivative continuous surfaces rather than on the cubic polynomials generally used.
I learned about the complex plane at about the same time I learned of the quadratic formula.
Zoltan Cendes, Steven Wong, "C1 Quadratic Interpolation over Arbitrary Point Sets," IEEE Computer Graphics and Applications, vol 7, no 11, pp.
The training of support vector machines (SVM) involves a quadratic programming problem, which is often optimized by a complicated numerical solver.
Phosphorus -31 MRI of hard and soft solids using quadratic echo line-narrowing PNAS: Early Edition.
I kind of remember how to do quadratic equations.
Thermo Fisher Scientific recently re-launched the RIIDEye, a handheld radiation isotope identifier that uses patented Quadratic Compression Conversion technology to provide real-time gamma source identification More.
Thermo Fisher Scientific recently re-launched the RIIDEye, a handheld radiation isotope identifier that uses patented Quadratic Compression Conversion technology to provide real-time gamma source identification.
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In science:

The category of quadratic algebras is a quadratic category, Let V ∗ be the dual space of V one deﬁnes: U ! to be the quotient of T (V ∗ ) by C ⊥ where C ⊥ is the annihilator of C .
Let U be a quadratic algebra, and H an algebraic group, the set of quadratic representations H → Aut(U ) is a quadratic category.
The category CH of quadratic representations endowed with the tensor products o and • that we have just deﬁned is a quadratic category.
Let (C, o, •, !) be a quadratic braided abelian category such that End(I• ) is the ground ﬁeld L, P the category of quadratic algebras deﬁned over the ﬁeld L.
The outputs accordingly have severe dependence on the precise form of the almost quadratic dispersion relation, that is, the deviation from the quadratic form, which is hard to evaluate numerically with an extreme accuracy.
Analytical and numerical evaluation of the Debye and Meissner masses in dense neutral three-flavor quark matter
Calogero: Solution of the one-dimensional N body problems with quadratic and/or inversely quadratic pair potentials, J.
Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
Let Eq be the category having as ob jects ﬁnite dimensional F2 -vector spaces equipped with a non degenerate quadratic form and with morphisms linear maps that preserve the quadratic forms.
The mixed functors of the category Fquad: a first study
The orthogonal sum of two nondegenerate quadratic spaces (V , qV ) and (W, qW ) is, by deﬁnition, the quadratic space (V ⊕ W, qV ⊕W ) where qV ⊕W (v , w) = qV (v) + qW (w).
The mixed functors of the category Fquad: a first study
A central role in the martingale approach to stochastic-process limits is played by the quadratic-variation and quadratic-covariation processes, as can be seen from the martingale FCLT stated here in §8.
Martingale proofs of many-server heavy-traffic limits for Markovian queues
We will also be interested in another quadratic variation of a square-integrable martingale M , the so-called optional quadratic variation [M ] (OQV), the square-bracket process).
Martingale proofs of many-server heavy-traffic limits for Markovian queues
This means that E ∗ a,b is a quadratic twist of E ∗ a corresponding to the quadratic extension k/Q.
Classifying Brumer's quintic polynomials by weak Mordell-Weil groups
Roos, Robust solutions of uncertain quadratic and conic quadratic problems, SIAM J.
A note on optimal probability lower bounds for centered random variables
It has been a central problem in the theory of quadratic forms to ﬁnd integers represented by quadratic forms.
Simple proofs for universal binary Hermitian lattices
Theorem 4 has some weaknesses: it does not say neither that polynomials solutions to the quadratic congruence will be subpolynomials of ∆N −1 nor that non HCA polynomials won’t have solutions to the quadratic congruence.
Pseudo-random Sequences Generated by Cellular Automata
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