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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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