PYTHAGORAS OF SAMOS
Pythagoras was a greek philosopher who was responsable for important
developments in the history of mathematics, the theory of music, and astronomy. He was a reliiigious leader too.
He migrated to Croton and founded a religious and philosophical school there and it
had many followers. Pythagoras believed that all relations could be reduced to number relations.
Pythagoreans noticed that vibrating strings produce harmonious tones
when the ratios of the lrngths of the strings are whole numbers, and that the ratios
could be extended to other insturments. They knew, as did the Egyptains before them, that
any triangle whose sides were in the ratio 3:4:5 was a right-angle triangle. But, the one
thing that made Pythagoras famous was the square of the hypotenuse of a right triangle is
equal to the sum of the squares of the other two sides.