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Re: A Common Sense about the Quadrature of A Circle



Hi Sonnet,
  I meant the Convexity and Curvature. Sorry about the misuse.
A line has zero curvature. When you cut, the curvatures of the 
pieces you created should cancell each other.
  I am talking about the Common sense not about the intuition.
If the Common Sensed Law of Conservation is true, the proof is strict, 
isn't it?

    If the positive curvatured pieces were created by a finite number of cuts
there should be negative ones created simultaneoudly, and they cannot be 
hidden by any other positive curvatured pieces. As the number of 
operations is finite, we should stop somewhere with redundant negavive 
curvatures. If you allow infinite operations, mathematicians ( and few 
physicists) can make people crazy with a limits and I am not talking 
about that possibility.
 
   Can you find a hole in my logic deduction and/or in the heuristic
argument of the Common Sensed Law?
  That's my question. 

  Cheers
  Aiviet