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An interesting account of his quadrature (squaring) of the lune can be found in and although his work is no longer extant it has been reported by later Greek writers to have contained much of what Euclid included in his first two books of the Elements, which appeared about 120 years later. Pericles was credited with creating the mighty Athenian empire.
The fear of the power of this empire by Sparta lead to the Peloponnesian War and while Athens was besieged by the enemy outside the walls, a terrible plague raged within.
Hieroglyphics for numbers were introduced around 3000 BCE.
All of what we know of Pythagoras and his followers come from commentators who lived a hundred years of more later, since it appears that all knowledge and information was passed on orally. This empire lasted for over two centuries until it was divided by the successors of Alexander the Great. Four of the paradoxes were to have a significant impact on the development of mathematics. E) Under the leadership of the statesman Pericles, Greece reached the height of its glory in the 5th century BCE.
What has become evident is that Pythagoras and his followers were considered to be, among other things, pure mathematicians. An interesting discussion of these can be found at Hippocrates of Chios (470 – 410 B. E.) Hippocrates of Chios was an excellent geometer who taught in Athens. Pericles was born to a family of wealth and position.
The site was first prepared by leveling the surface and then blocks of stone were transported and placed.
It was finished with an outer casing which was used to smooth the surface. Some interesting data: it is 756 feet long on each side, 480 feet high and is composed of approximately 2,300,000 blocks of stone, each averaging 2 1/2 tons in weight. This is a positional number system based on sixty, rather than ten.