A Fresh Look at the Method of Archimedes

@article{Apostol2004AFL,
  title={A Fresh Look at the Method of Archimedes},
  author={T. Apostol and M. Mnatsakanian},
  journal={The American Mathematical Monthly},
  year={2004},
  volume={111},
  pages={496 - 508}
}
1. INTRODUCTION. A spectacular landmark in the history of mathematics was the discovery by Archimedes (287–212 B.C.) that the volume of a solid sphere is twothirds the volume of the smallest cylinder that surrounds it, and that the surface area of the sphere is also two-thirds the total surface area of the same cylinder. Archimedes was so excited by this discovery that he wanted a sphere and its circumscribing cylinder engraved on his tombstone, even though there were many other great… Expand
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