Why squaring the circle - the old-fashioned way - was found to be impossible? Numblr: http://numberphile.tumblr.com/ More links & stuff in full description below ↓↓↓ This video featuring...
========== DR. .JAMES GRIME: So today we're
going to talk about oneof the great unsolved problems
in mathematics that went backto the Ancient Greeks, thousands
of years ago, whichwas eventually solved in 1882.And the problem is called
squaring the circle.And you may have even heard of
the problem as a metaphor forsomething that's impossible
to do.The question is, can you make a
square with the same area asthe circle?Now you have to understand
the rules.In Ancient Greece they
didn't have algebra.So they could only
construct numbersusing lines and circles.So you could only make things
using a straight edge--like a ruler, but not a
measured ruler, just astraight edge--and a compass.So lines and circles,
those are the rules.Those are the rules the Ancient
Gr...