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 + b2 = c2). In fact, there is an ancient Babylonian tablet (by the catchy name of IM 67118) which 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.
I thought it was well established that Pythagoras didn’t actually derive his namesake theorem?
It is. There’s evidence of its use in the Old Babylonian period, evidence in 1800 B.C.E Egypt, India in 700-500 BCE, China during the Han Dynesty at least.
It’s very simple to prove, and anywhere you find squares or triangles in architecture, it was used.
I’m assuming it was discovered multiple times independently. Pythagorean is just the one that wasn’t forgotten.
The Romans built off of Greek culture, Europe built off of Roman culture, the US built off of European culture. US math is very much based on Greek math (and US education in general). You may remember doing Greek proofs in school. Greek math was by no means superior to any other culture’s, it just so happens that US culture descends from Greek culture.
The Han Dynasty started in 202 BC. That’s after Pythagoras died. Not the same thing.
Everyone learns something new everyday. How often have you seen a TIL and thought, “doesn’t everyone know that”
Browsing the wikis, I got the impression research is unconclusive. We don’t know if he had a role regarding the theorem, and what it was.
There is debate whether the Pythagorean theorem was discovered once, or many times in many places, and the date of first discovery is uncertain, as is the date of the first proof. Historians of Mesopotamian mathematics have concluded that the Pythagorean rule was in widespread use during the Old Babylonian period (20th to 16th centuries BC), over a thousand years before Pythagoras was born.[68][69][70][71]
The German version also talks about the various roles Pythagoras might have had or not had regarding the theorem, and how research is unconclusive. One such possibility is that this older Clay Tablet applied the theorem without being able to prove it, and Pythagoras or one of his students could have found a proof.
Also:
The history of the theorem can be divided into four parts: knowledge of Pythagorean triples, knowledge of the relationship among the sides of a right triangle, knowledge of the relationships among adjacent angles, and proofs of the theorem within some deductive system.
So there were lots of meaningful steps one could achieve without actually deriving the theorem. Maybe people were happy to just use math because it works, and a thousand years later someone bothered to prove why.
