Examples:

• Squaring the circle is an old architectural technique, sometimes successful, sometimes not.
• He has squared the circle of keeping the City happy and doing something to improve business cash flow.
• This was the age when people were still optimistic of squaring the circle by a geometrical construction.
• I'm not sure what to tell you, but if you take that issue to the boss, I bet he'll be able to square the circle.
• Crank schemes for squaring the circle spring to mind; I could provide many more examples.
• It is easier to square the circle than to get round a mathematician.
• Other constructions that were proved impossible include doubling the cube and squaring the circle.
• All have the same hope: that foreign markets and, especially, foreign investment will somehow provide enough jobs to square the circle.
• The Government is trying to square the circle when it says it will spend more on the health service without raising taxes.
• Besides negotiating the angles introduced by Broadway, the design squares the circle, with street grid around it.