# Square the circle

## Definitions

• Chambers's Twentieth Century Dictionary
• Square the circle to determine the area of a circle in square measure
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## Idioms

Square the circle - When someone is squaring the circle, they are trying to do something impossible.
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## Etymology

Chambers's Twentieth Century Dictionary
O. Fr. esquarre (Fr. équerre)—L. ex-quadrāre, to square—quadrus, conn. with quatuor, four.

## Usage

### In literature:

We are to square the circle.
"Modern American Prose Selections" by Various
In the centre of the square, a large circle was described by a crimson cord, and guarded by Karasmian soldiers.
"Alroy The Prince Of The Captivity" by Benjamin Disraeli
Squaring the Circle for Jimmie.
"The Best Short Stories of 1915" by Various
It was hard indeed to decide whether the circles or the squares were more interesting.
"Kate Carnegie and Those Ministers" by Ian Maclaren
But it is easier to square the circle than square a fox.
"Gallipoli Diary, Volume 2" by Ian Hamilton
To find the area of a circle: Multiply the square of the diameter by .7854.
"Practical Mechanics for Boys" by J. S. Zerbe
There stood the parched bulbs, carefully arranged in circles and squares on top of the soil.
"A Rivermouth Romance" by Thomas Bailey Aldrich
Sometimes they draw a circle instead of a square, which makes it more difficult to do, but the game is the same.
"The Children's Book of London" by Geraldine Edith Mitton
First thing he'll have to sell the Circle C to square things.
"Crooked Trails and Straight" by William MacLeod Raine
Only uninstructed cranks now waste their time in trying to square the circle.
"The Canterbury Puzzles" by Henry Ernest Dudeney
Next make a square hole through the centre of the circle to fit the square end of the steel shaft of the door-knob.
"Shelters, Shacks and Shanties" by D.C. Beard
The Alimentive is built upon the circle, the Thoracic on the kite-shape but the pure Muscular always tends toward a squareness of outline.
"How to Analyze People on Sight" by Elsie Lincoln Benedict and Ralph Paine Benedict
Hobbes was one of the many victims who lost themselves in squaring the circle, and doubling the cube.
"Calamities and Quarrels of Authors" by Isaac Disraeli
After a moment of darkness, the live picture of the six old figures, sitting in their half circle, spread again over the lighted square.
"Perfect Control" by Richard Stockham
And so is the square quadrate made in the circle assigned, as the conclusion willeth.
"The Path-Way to Knowledg" by Robert Record
In geometry we know not how to square the circle, but we do not quarrel on that point.
"Dante. An essay." by R. W. Church
The walk ends in a circle of gigantic magnolias, which take hands round a square fountain-basin.
"Alas!" by Rhoda Broughton
Was that the solution of the great mystery, the squaring of the circle?
"Through Night to Light" by Friedrich Spielhagen
Tangents to the circle at A and B, meeting at C, form with the two radii the square OACB.
"Archimedes" by Thomas Little Heath
Beneath the circle of light stood a table marked in squares, and in its centre a roulette-wheel.
"If Sinners Entice Thee" by William Le Queux
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### In poetry:

"Squares are rigid, but circles yield
Like the meadow grass of a springing field!
So here's the little white circle, meet
For a merry chorus of children's feet!"
"Circles" by Laura Benet
All all and all the dry worlds couple,
Ghost with her ghost, contagious man
With the womb of his shapeless people.
All that shapes from the caul and suckle,
Stroke of mechanical flesh on mine,
Square in these worlds the mortal circle.
"All All And All" by Dylan Thomas

### In news:

For the sixth and what he says is the final time, Sylvester Stallone steps into the squared circle.
The circle and the square.
"I can't square this circle right now, based on the criteria he has listed," Eisgruber said.
Armory Square is one of the most vibrant parts of Syracuse -- until you circle behind the Museum of Science and Technology and behold a drab tunnel, the one leading under the railroad tracks to the so-called Trolley parking lot.
In a South American jungle, far from traffic circles, city squares and the Pentagon, beats the heart of geometry .
A centerpiece of this year's Bang on a Can Festival is a Harry Partch program at Circle in the Square Downtown, 159 Bleecker Street, Manhattan.
Starting at Public Square, the 6.8-mile, 58-stop HealthLine passes through and connects seven of the city's districts: downtown, PlayhouseSquare, Cleveland State, Midtown, Fairfax, University Circle and East Cleveland.
Why The Middle East Has A Big Oil Problem: ' Squaring Obama's Xi Circle'.
Consider the problem of turning a circle into a square .
Almost 40 years after the idea of a fancy transit link between Public Square and University Circle first surfaced, the RTA's sleek new HealthLine began operating Friday along Euclid Avenue.
Abigail Breslin and Alison Pill headline the 50th anniversary Broadway revival of William Gibson's The Miracle Worker at Circle in the Square.
Any strike would affect workers at 32 of Broadway 's 40 theaters where the 32BJ has a contract, meaning all the Shubert, Nederlander and Jujamcyn-owned theaters, as well as the Circle in the Square Theatre.
The cozy one-story home at 35 Campden Circle has 2,531 square feet of living space and two bedrooms and two full baths to its name.
On May 7, Broadway's Godspell introduced the talented young performers who are set to perform onstage at Circle in the Square Theatre May 22 as "The Godspell Cast of 2032".
There used to be steel cage matches that locked two behemoths in the squared circle - two men entered.
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### In science:

Open circles, squares and triangles are the experimental data from .
Random field based model of mixed ferroelectrics phase diagram
The squares denote stable FPs, the circles mean unstable FPs and the dashed lines are separatrices connecting two FPs.
Critical properties of random anisotropy magnets
Circles are the result of numerical simulations (on a 2D square lattice, we have generated 10000 closed random walks of 100000 steps each).
Functionals of the Brownian motion, localization and metric graphs
The symbols denote different phases: tilted smectic B (up triangles); nematic (squares); isotropic (circles).
Dipolar interactions, molecular flexibility, and flexoelectricity in bent-core liquid crystals
The assertion that the inverse of the square root of a nonnegative trigonometric polynomial which vanishes on the circle is not integrable is elementary.
The maximum entropy ansatz in the absence of a time arrow: fractional pole models
FIG. 7: (Color online) Complexity Σ(c, y ) as a function of the re-weighting parameter y for ﬁxed mean vertex degree c = 12.0 (circles), c = 10.0 (squares), c = 8.0 (diamonds), and c = 6.0 (triangles).
Message passing for vertex covers
Symbols are as in Fig. 15: ﬁlled symbols for hosts with interaction, morphology of the galaxies identiﬁed by triangles for discs, circles for ellipticals, squares when undeﬁned and diamonds for undeﬁned with young population.
On-axis spectroscopy of the host galaxies of 20 optically luminous quasars at z~0.3
Inset (a) shows the same plot for Hdc = 4 Oe, whereas inset (b) shows for Hdc = 7 Oe (ﬁlled square) and 15 Oe (ﬁlled circle).
Direct evidence of random field effect on magnetic ordering of La_(0.5)Gd_(0.2)Sr_(0.3)MnO_(3) manganite system
Inset (a) shows the same plot for Hdc = 4 Oe, whereas inset (b) shows for Hdc = 7 Oe (ﬁlled square) and 15 Oe (ﬁlled circle).
Direct evidence of random field effect on magnetic ordering of La_(0.5)Gd_(0.2)Sr_(0.3)MnO_(3) manganite system
FIG. 3: Dependence of the inverse gap, 1/∆, on n for Markovian chain with random i − j coupling and XY (triangles), CNOT (circles) and U(4) (squares) gate.
Optimal two-qubit gate for generation of random bipartite entanglement
FIG. 4: Dependence of the inverse gap 1/∆ on n for nnPBC coupling and XY (triangles), CNOT (circles) and U(4) (squares) gates.
Optimal two-qubit gate for generation of random bipartite entanglement
FIG. 1: (color online) Block entropy (in bits) averaged over N = 5 × 103 conﬁgurations for an Ising spin chain of L = 200 sites in the homogeneous (squares) and perfectly correlated random (circles) cases.
Increasing entanglement through engineered disorder in the random Ising chain
FIG. 4: (color online) Block entropy (in bits) averaged over N = 3 × 103 conﬁgurations for a d = 3 Potts model of L = 70 sites in the homogeneous (squares) and perfectly correlated random (circles) cases.
Increasing entanglement through engineered disorder in the random Ising chain
Note that if the circle product ◦ is commutative, then the tail y ◦ D(x) ◦ z of a tailed2−nd square-circle Poisson algebra becomes the tail D(x) ◦ y ◦ z of a generalized Poisson superalgebra introduced in .
New Generalizations of Poisson Algebras
The next proposition gives a summary of our ways of constructing tailed square-circle Poisson algebras.
New Generalizations of Poisson Algebras
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