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Published 2011
Pythagoras (say "pie-thag-or-as") of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. He made important developments in mathematics, astronomy, and the theory of music.
Pythagoras spent much of his life studying mathematics and formed a special school where members followed strict rules, such as never eating meat. Pythagoras believed that everything in the world could be explained by numbers and his school worked hard to try to learn enough about numbers to be able to understand the universe.
This is someone's idea of what Pythagorus might have looked like
Some of the things they believed about numbers seem odd to us now. For example, numbers were thought to have their own special nature. Pythagoreans thought numbers were male or female, ugly or beautiful, or had a special meaning.
Other ideas they worked on are things you still learn about in school and that mathematicians still use. Some of these are:
The sum of the angles of a triangle is equal to two right angles .
The theorem is: for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A rectangular field has two posts with a ring on top of each post. There are two quarrelsome goats and plenty of ropes which you can tie to their collars. How can you secure them so they can't fight each other but can reach every corner of the field?
Prove that a triangle with sides of length 5, 5 and 6 has the same area as a triangle with sides of length 5, 5 and 8. Find other pairs of non-congruent isosceles triangles which have equal areas.