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DR. .JAMES GRIME: So today were going to talk about one of the great unsolved problems in mathematics that went back to the Ancient Greeks, thousands of years ago, which was eventually solved in 1882. And the problem is called squaring the circle. And you may have even heard of the problem as a metaphor for something thats impossible to do. The question is, can you make a square with the same area as the circle? Now you have to understand the rules. In Ancient Greece they didnt have algebra. So they could only construct numbers using lines and circles. So you could only make things using a straight edge-- like a ruler, but not a measured ruler, just a straight edge-- and a compass. So lines and circles, those are the rules. Those are the rules the Ancient Greeks had to work by. Using those rules, can you construct a square with the same area as the circle? Lets have a look at what you can do with rules and compasses. You can add numbers. Heres a line, and it has length a. And I ad