But the way he discovered these results remained a mystery until 1906, when a copy of his lost treatise The Method was discovered in … simple,amethodtoo(beitobserved)whichwouldbequiterigorous enough for us to-day, although it didnot satisfy Archimedes himself. Archimedes’ proofs of formulas for areas and volumes set the standard for the rigorous treatment of limits until modern times. A Roman soldier commanded him to come and meet General Marcellus but he declined, … Apartfrom themathematicalcontent of thebook, itis in- Archimedes died c. 212 BC during the Second Punic War, when Roman forces under General Marcus Claudius Marcellus captured the city of Syracuse after a two-year-long siege.According to the popular account given by Plutarch, Archimedes was contemplating a mathematical diagram when the city was captured.
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