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Keo5 Keo5 24 December 2011
0

3 Mathematical Conundrums

I stubled across 3 false proofs, see if you can find the errors.


  • X=Y
  • X^2=X*Y
  • X^2-Y^2=X*Y-Y^2
  • (X+Y)*(X-Y)=Y*(X-Y)
  • X+Y=Y
  • 2Y=Y
  • 2=1


  • X=0.99999...
  • 10X=9.99999...
  • 10X-X=9.99999...-X
  • 9X=9
  • X=1
  • 0.99999...=1


This one is a word problem. Imagine a square with sides of 4, and therefore a perimiter of 16. Cut corners, and the perimiter stays the same. See below for a visual.


  • HHHHHHHHHH
  • HHHHHHHHHH
  • HHHHHHHHHH
  • HHHHHHHHHH
  • HHHHHHHHHH
  • HHHHHHHHHH


The perimeter of the above shape is equal to the perimeter of the shape below. (_ equals negative space)

  • ____HHHH____
  • ____HHHH____
  • HHHHHHHHHH
  • HHHHHHHHHH
  • ____HHHH____
  • ____HHHH____


Repeat to infinity. Square becomes a circle

  • 16=Pi*(2)^2

Therefore, Pi equals 4


That's all folks!

~â‚®iger~ :. Talk & Profile .:

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