What other theorems did Pythagoras formulate?

Answer 1

In Croton (now Crotone, southern Italy) Pythagoras founded his famous philosophical school. He had many followers who "Pythagoreans" called. Pythagoras was the head of a group of close followers who "mathematikoi" were mentioned. They lived permanently within the walls of the 'community'. They had no personal possessions and were vegetarians. They were taught by Pythagoras himself and obeyed strict rules. They learned:

that the essence of all mathematics;

philosophy that can help achieve spiritual purity;

the soul is one with the divine;

that certain symbols have a mystical significance;

they each had to exercise strict loyalty.

Both men and women could not mathematikoi ', so that some (later) women Pythagoreans became famous philosophers.

Besides mathematikoi knew the Pythagoreans akousmatikoi community, not within the walls of the "community" living. They could have possessions and were not a vegetarian.

From 510 BC. touched the Pythagorean Community in Croton in the difficulty after winning Sybaris by Croton. However, they spread over many other Italian cities. After 500 BC. Community was more political and after 460 BC. Members were then prosecuted. Their meeting places were destroyed. Many Pythagoreans then fled to Thebes and other Greek cities.

Further work of the Pythagoreans are:

Proof that the angles of a triangle along two right angles, and the extension of this argument: a polygon with n sides is the sum of the interior angles equal to that of 2n - 4 right angles.

Constructing figures with a given surface and a kind of geometric algebra. (What we call equations solved it geometrically on.)

The discovery of Irrational Numbers: numbers that are not broken to write, as the root of 2.

The five regular solids: tetrahedron (regular tetrahedron), cube, octoëder (regular octahedron), dodecahedron (regular dodecahedron); isocaëder (regular eight p.m. plane).

In astronomy, they learned that the earth was a sphere in the center of the universe, that the orbit of the moon an angle to the equator and the morning star Venus plannet was the same as Venus the evening star.