Monday, May 16, 2011

-- Just a Couple of Paradoxes --

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A classic old paradox from mathematics:




Suppose you glue a dime to the very middle of a half-dollar (creating two attached concentric coins), and then roll the half-dollar along a tabletop to make one complete turn. At that point the half-dollar (back at its starting point) will have covered a distance equal to its own circumference, AND the inner dime will also have completed one full turn, seemingly having moved ITS circumference in length... except of course the dime and quarter don't have equal circumferences.

Or, for a different, more geometric paradox see this old chestnut proving that the two sides of any right triangle, when added together, equal the hypotenuse:

http://tinyurl.com/5szrqbj
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