Where does opposite equals √2/2 come from? ... I think that at the time of archimedes they were not able to calculate irrational numbers like sq-root of 2 they definitely needed another methode to approximate that number (sq-root 2) ... +Math Center: This is SO NOT Archys method of calculating pi! read more
Archimedes' Approximation of Pi One of the major contributions Archimedes made to mathematics was his method for approximating the value of pi. It had long been recognized that the ratio of the circumference of a circle to its diameter was constant, and a number of approximations had been given up to that point in time by the Babylonians, Egyptians, and even the Chinese. read more
Euclid started with squares, but Archimedes started with hexagons. The area of the circle lies between the area of the inscribed and circumscribed polygons. Then double the number of sides. read more
The earliest textual evidence of pi dates back to 1900 BC; both the Babylonians and the Egyptians had a rough idea of the value. The Babylonians estimated pi to be about 25/8 (3.125), while the Egyptians estimated it to be about 256/81 (roughly 3.16). Archimedes' Polygons. read more