兀的歷史(急用)(English)

Wu's history: Five hundred years BC to 1 BC, two hundred years.
Suge La section (Socrates, BC469 - 399) times, the Greeks of Antioch Feng (Antiphon) and Bryson (Bryson) came up with a wonderful way, they tried the exhaustive method (Principle of exhaustion) calculated area of ​​a circle. Draw a regular hexagon, it would be increased to twice the side, and then continue to multiply, the polygon end up "into a" circle. At first, Antioch abundance in the circle inscribed within the polygon to be a constantly increasing number of walls, and then calculate the approximate circular polygons. They then calculated the area of ​​two polygons: one is inscribed polygon, a polygon is circumscribed. They think that is between the area of ​​a circle between two polygons ------ This is perhaps the first man approaching a value above the threshold. 2. Ejimide (Archimedes, BC287-212), a distinguished inventor, mathematician and physicist, he began to study after a round, also used the calculation method of exhaustion (Principle of exhaustion), but the Achilles Mead does not focus on the area of two polygons, but their perimeter, and finally calculate the approximate circumference of a circle. He doubled the number of sides of two hexagon four times, to make two ninety hexagonal, and then calculate their perimeter, and he was in "Determination of the circle" (The Measurement of the Circle) mentioned: the ratio of the circumference and diameter less than 22 / 7, greater than 223/71. He will add upper and lower limits by 2, storm knot value is 3.1419 and correct the error ---- king also to the ten thousandths.

2011-04-19 19:44:58 補充：
還有下文
After two hundred years BC, until the sixteenth century, Europe was in the circle rates make a significant breakthrough. This breakthrough is a French lawyer and amateur mathematician from Whyte (Frabcois Viete).

2011-04-19 19:45:29 補充：
還有下文
1579, Whyte follow Ajimide, other than cut and inscribed polygon calculated pi is 3.1415926535 lower and upper limits and 3.1415926537.