Spurious theorems in Archimedes' equilibrium of planes: Book I

  title={Spurious theorems in Archimedes' equilibrium of planes: Book I},
  author={J. Lennart Berggren},
  journal={Archive for History of Exact Sciences},
  • J. L. Berggren
  • Published 1 June 1976
  • Physics
  • Archive for History of Exact Sciences
Among the extant writings of Archimedes are two works on the centres of gravity of plane figures, namely those titled On the Equilibrium of Planes, Books I and II. In Book I Archimedes determines the centre of gravity of a triangle and a trapezoid, while in Book II he applies these results to find the centre of gravity of a segment of a parabola. In his edition of the Greek text, on which all recent translations and discussions have been based, J.L. Heiberg1 remarks that the format of these… 

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