20061004, 04:45  #34  
Bronze Medalist
Jan 2004
Mumbai,India
4004_{8} Posts 
solution
Quote:
what about the two different radii? And the proof that it is correct apart from the visual effects? Hippocrates' solution is far superior than any others given so far. I'm wondering why there is no comment and why has it not been accepted by the community. Has it been understood at all? I have a rigorous proof which is elegant and without doubt. Any takers? Mally 

20061004, 13:52  #35  
6809 > 6502
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Aug 2003
101×103 Posts
10001000001111_{2} Posts 
Quote:
As for proving the one that I submitted, I think that it should not be too hard to do. By starting on the left side, assuming that the original circle (disk for the nit picky) has a diameter of 4, calculating the size of the smallest half circle (diameter of 1) on the upper side of the original diameter is easy. Set this as z. Calculate the area of the next half circle (diameter 2) call it y' , subtract z from this and call it y. Repeat for the next (dia. 3) x', subtract y' and get x. Repeat for the original (dia. 4) w', subtract x' to get w. Add w to z, and y to x. If they are the same, viola. 

20061115, 01:07  #36  
Nov 2006
3 Posts 
How do you do it with 5 lines?
Quote:


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