• BC 0500? Hippasus
According to Pythagoras theorem the diagonal length of a square with each side measuring one unit would be square root of two.
The assumption that square root of two could be expressed as a ratio of two integers deduces a contradiction.
• BC 0300? Euclid
It was the Greek mathematician Euclid who produced the first precise description of the golden section.
A length is devided into two parts in such a way that the smaller part is to the larger part in the same proportion as the larger one is to the whole.