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"Squaring the circle" refers to the problem of constructing a square equal in area to that of a given circle.
The expression "squaring the circle" is used as a metaphor for doing something logically or intuitively impossible.

Squaring the circle - Wikipedia

en.wikipedia.org/wiki/Squaring_the_circle

Squaring the circle is a problem proposed by ancient geometers. It is the challenge of ... The term quadrature of the circle is sometimes used to mean the same thing as ..... The technique he develo...

Square the circle - Idioms by The Free Dictionary

idioms.thefreedictionary.com/square the circle

Definition of square the circle in the Idioms Dictionary. square the circle phrase. What does square the circle expression mean? Definitions by the largest Idiom ...

Squaring the Circle - Interactive Mathematics Miscellany and Puzzles

www.cut-the-knot.org/impossible/sq_circle.shtml

Thus it's impossible to square a circle using a straightedge and a compass; but like the problem of angle trisection, this one can be solved by other means.

Squaring the Circle - The Geometry Center

www.geom.uiuc.edu/docs/forum/square_circle/

May 15, 1994 ... The following is a proof that given an arbitrary circle, it is impossible to ... This means that pi does not satisfy any rational polynomial equation.

square the circle Definition in the Cambridge English Dictionary

dictionary.cambridge.org/us/dictionary/english/square-the-circle

square the circle definition, meaning, what is square the circle: If you try to square the circle, you try to do something that is very difficult or…. Learn more.

Can't Square the Circle - MSRI

www.msri.org/activities/pastprojects/jir/bwachtel/CantSquaretheCircle.html

Can't Square the Circle. You may have heard the saying, "you can't square the circle" - meaning "you can't do the impossible." We'll talk with a mathematician ...

Urban Dictionary: square the circle

www.urbandictionary.com/define.php?term=square the circle

Top Definition. square the circle. Describing a hopeless, meaningless, or vain undertaking. Squaring the circle is a problem proposed by ancient geometers.

Squaring the circle - MacTutor History of Mathematics

www-history.mcs.st-and.ac.uk/HistTopics/Squaring_the_circle.html

These problems were those of squaring the circle, doubling the cube and ... it does show that the problem of constructing a square of area equal to that of a circle goes .... In this quote "quadrature by means of segments" refers to Hippocrates ...

square the circle | Definition, meaning & more | Collins Dictionary

www.collinsdictionary.com/dictionary/english/square-the-circle

square the circle | If you say that someone squares the circle , you mean that they bring together two ... 2. to do or attempt something that seems impossible.