Despite the limited surveying tools of the time, it is reported that no side is more than 8 inches different in length than another. The Sumerians represented the integers using cuneiform wedge patterns.Furthermore, the whole structure is perfectly oriented to the points of the compass. Their writing material consisted of a stylus and a tablet of soft clay which, when completed, was allowed to harden into a permanent document.
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.
For about 4500 years it was the tallest building in the world. There is much speculation on exactly how this pyramid and its companions were actually constructed. They used a vertical wedge to represent a unit and a sidewys wedge to represent ten units.
With arrangements of these two symbols they could represnt numbers of any size.
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.
It appears that rather than contradict each other, the tale of Aeneas adds to that of Romulus and Remus. This agrees very closely to the established legend that Rome was founded on 21 April 753 B. He is also credited by some historians with being the “Father of deductive geometry.” Thales is usually credited with five theorems of elementary geometry: A circle is bisected by any diameter. The mathematikoi lived permanently with the Society, had no personal possessions and were vegetarians.
Archaeological evidence shows that early settlement of the Palatine Hill dates back to about 750 B. The base angles of an isosceles triangle are equal. They were taught by Pythagoras himself and obeyed strict rules set down by Pythagoras. E.) Zeno was an Eleatic philosopher and was a favorite disciple of Parmenides.
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.