Archimedes determined the upper and lower range of pi by finding the perimeters of inscribed and circumscribed polygons. By doubling the number of sides of the hexagon to a 12-sided polygon, then a 24 ...

This is a preview. Log in through your library . Abstract A plane polygon P inscribed in a conic C and circumscribed to a conic D can be continuously 'rotated', as it were. One of the many proofs ...