Archimedes after Dijksterhuis: A Guide to Recent Studies

  title={Archimedes after Dijksterhuis: A Guide to Recent Studies},
  author={Wilbur Richard Knorr},
The Works of Archimedes: Translation and Commentary
Archimedes was the greatest scientist of antiquity and one of the greatest of all time. This book is Volume I of the first authoritative translation of his works into English. It is also the first
The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes
As a matter of fact, it is by no means impossible to build up a consistent " non-Archimedean " theory of magnitudes in which the axiom of Eudoxus (usually named after Archimedes) does not hold.
Logistic and Fractions in Early Greek Mathematics: A New Interpretation
Since the popularisation of techniques of decimal fractions at the end of the sixteenth century, western mathematics has drawn inspiration from the fluent manipulations of more and more general, more
Towards a Reconstruction of Archimedes' Stomachion
It is argued that the Stomachion was a treatise of geometrical combina­ torics, made possible thanks to recent studies showing the existence of sophisticated combinatorial research in antiquity.


Une énigme: Archimède et les miroirs ardents
Archimede, lors du siege de Syracuse, a-t-il incendie les galeres romaines a l'aide de miroirs ardents?.
Ancient Versions of two Trigonometric Lemmas
  • W. Knorr
  • Mathematics
    The Classical Quarterly
  • 1985
To justify certain steps of the computation developed in his Sand-Reckoner, Archimedes cites (without proof) the following inequalities relative to the sides of right triangles: if of two
The Geometry of Burning-Mirrors in Antiquity
N THESE HYPERBOLIC TERMS the Roman natural historian Pliny the Elder (first century A.D.) describes the phenomenon of burning by means of the concentration of solar rays. Similar expressions of