"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.

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...

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 ...

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.

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.

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.

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 ...

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.

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 ...

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.