¶ Ghostly Greek Geometry: Sphere (1)
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Index Entry
The definition of a sphere by the Greeks was ‘a surface equidistant in all directions from a point.’ Now if you have a surface equidistant in all directions from a point it couldn’t have a hole in it. If it had a hole in it the distance would not be equidistant because the surface would start to turn inwardly and the radius would not be the same. To say then that you have a surface equidistant in all directions from a point is considered some kind of a solid surface. A sphere then would be a subdivision of universe in which part of the universe would be inside and part outside and no communication between the two because there are no holes in it. In other words, the Greek definition of a sphere was the definition of the first perpetual motion machine or local system that was adequate in itself. It didn’t need any of the rest of the universe. All experiments in physics has shown energy losses in systems and energy intakes and so there would have to be some holes in the system for them to pass through. Therefore we discover we have to give up the concept of the sphere as defined by the Greeks and all we can say is that
