Archimedes and the elements: Proposal for a revised chronological ordering of the Archimedean corpus

@article{Knorr1978ArchimedesAT,
  title={Archimedes and the elements: Proposal for a revised chronological ordering of the Archimedean corpus},
  author={W. Knorr},
  journal={Archive for History of Exact Sciences},
  year={1978},
  volume={19},
  pages={211-290}
}
  • W. Knorr
  • Published 1978
  • Mathematics
  • Archive for History of Exact Sciences
SummaryWith the rediscovery by J. L. Heiberg of the manuscript of Archimedes' Method and its publication by him in 1907, a suspicion held for centuries by mathematicians and mathematical historians was at last corroborated by direct evidence: Archimedes had indeed applied in his discovery of geometric theorems a heuristic technique of analysis, although the highly formal synthetic proofs given in their demonstration concealed this fact. Disappointingly little effort has since been made to… Expand
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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 theExpand
Archimedes and the measurement of the circle: A new interpretation
In the third propos i t ion of the Dimensio Circuti, ARCHIMEDES established 3-~ as an upper bound , 3~7~ ° as a lower b o u n d for the ra t io of the perimeter to the diameter of the circle.Expand
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Abstract In his work, The Method , Archimedes displays the heuristic technique by which he discovered many of his geometric theorems, but he offers there no examples of results from Spiral Lines .Expand
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