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The mathematical works that have been
presented to us by Archimedes could be classified into three
groups. The first group consists of works that have as their
major objective the proof of theorems relative to the areas
and volumes of figures bounded by curved lines and
surfaces. The second category contains works that lead to a
geometrical analysis of statical and hydrostatical problems
and the use of statics in geometry...
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Miscellaneous
mathematical works make up the third group. Toward the
end of Archimedes life, the political situation around him
became worse as the years went by. After the death of
Hieron II, Syracuse fell into the hands of his grandson,
Hieronymus, who changed from the alliance of Rome to the
alliance of Carthage...
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