It predates Pythagoras by over 1,000 years.
© Osama Shukir Muhammed Amin FRCP(Glasg) via Wikimedia Commons (CC BY-SA 4.0); rotated, croppedThe proof is carved into clay.
Study math for long enough and you will likely have cursed Pythagoras's name, or said "praise be to Pythagoras" if you're a bit of a fan of triangles.
But while Pythagoras was an important historical figure in the development of mathematics, he did not figure out the equation most associated with him (a2
). In fact, there is an ancient Babylonian tablet (by the catchy name of IM 67118) that uses the Pythagorean theorem to solve the length of a diagonal inside a rectangle. The tablet, likely used for teaching, dates from 1770 BCE
- centuries before Pythagoras was born in around 570 BCE.
Another tablet from around 1800-1600 BCE has a square with labeled triangles inside. Translating the markings from base 60 - the counting system used by ancient Babylonians - showed that these ancient mathematicians were aware of the Pythagorean theorem (not called that, of course) as well as other advanced mathematical concepts.
"The conclusion is inescapable. The Babylonians knew the relation between the length of the diagonal of a square and its side: d=square root of 2," mathematician Bruce Ratner writes in a paper
on the topic. "This was probably the first number known to be irrational. However, this in turn means that they were familiar with the Pythagorean Theorem - or, at the very least, with its special case for the diagonal of a square (d2
) - more than a thousand years before the great sage for whom it was named."