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Can you explain why a three-legged stool is often more steady than a four-legged one?

April 20th, 2010
four legs
Sal asked:


If you have a four-legged stool, is it possible that all four legs might not touch the floor at the same time? Is this true for a three-legged stool? How will you relate this to geometric situations involving three points and a plane and four points and a plane?