Squaring the Circle
http://www.voutube.Gom/watch?v=CMP9a2J4Bqw
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A
What kind of a problem is Squaring the Circle?
Listen and watch, then answer questions.
1) When was this problem solved?................................
2) Which tools could ancient Greeks use to construct numbers?.................................................................
3) What can be done with these tools?
4) Which numbers are called constructible?
5) Which constructible numbers are irrational?
6) What are the relations among constructible, algebraic, and transcendental numbers?...........................................................................................
7) How was it proven that squaring the circle is impossible?
8) What would happen if algebra did not exist?