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| Archimedes of Syracuse | |
|---|---|
| Name | Archimedes of Syracuse |
| Native name | Αρχιμήδης |
| Birth date | c. 287 BC |
| Birth place | Syracuse |
| Death date | c. 212 BC |
| Death place | Syracuse |
| Nationality | Greek |
| Occupation | mathematician, engineer, physicist, inventor |
| Notable works | "On the Sphere and Cylinder", "On Floating Bodies" |
Archimedes of Syracuse was an ancient Greek mathematician, physicist, engineer, and inventor from Syracuse who made foundational contributions to mathematics, mechanics, and hydrostatics. Active during the Hellenistic period under the influence of Euclid, Eratosthenes, and the intellectual milieu of Alexandria and the Library of Alexandria, his work combined rigorous geometrical proof with practical engineering for the polis of Syracuse. He is celebrated for methods that prefigure integral calculus, principles now named after him, and complex siege engines used in the Second Punic War era conflicts between Rome and Carthage.
Archimedes was born in Syracuse during the lifetime of contemporary figures such as Hiero II and lived at the time of generals like Hannibal Barca and statesmen of Rome. Sources for his biography include accounts by Plutarch, Polybius, Livy, and later summaries by Diogenes Laërtius and Proclus. His family links are partly preserved through references to his father Phidias and connections to the intellectual networks of Alexandria, where scholars such as Conon of Samos and Eratosthenes operated. He corresponded with contemporaries in cities like Athens, Alexandria, and Rhodes and worked under civic authorities including Hiero II during periods of siege by Roman commanders such as Marcus Claudius Marcellus. The geopolitical setting involved Carthage influence in Sicily and the expanding power of the Roman Republic in Mediterranean conflicts like the Punic Wars.
Archimedes produced rigorous treatises connecting geometry with quantitative measurement, developing results on areas, volumes, centers of mass, and the method of exhaustion reminiscent of later Newton and Leibniz. His major geometry works include "On the Sphere and Cylinder", "Measurement of a Circle", and "On Conoids and Spheroids", which build on concepts attributed to Euclid and anticipated techniques used by Apollonius of Perga and Pappus of Alexandria. He calculated approximations of π used by Mathematicians of the Hellenistic period and solved problems akin to those later formalized by Cavalieri and Bonaventura Cavalieri. Methods in his "The Method" relate to concepts later formalized by Isaac Newton and Leibniz. Archimedes analyzed conic sections studied earlier by Menaechmus and later by Apollonius, and his work influenced medieval scholars transmitted via Byzantine Empire manuscripts and Islamic scholars such as Alhazen and al-Khwarizmi.
Archimedes formulated principles of lever mechanics, the law of the lever, and the principle of buoyancy now known as Archimedes' principle, extending ideas from Aristotle's mechanics and elaborated with mathematical rigor akin to Hero of Alexandria and Philon of Byzantium. His studies in equilibrium and centers of gravity influenced later figures including Torricelli, Galileo Galilei, and Christiaan Huygens. In engineering, his reputed inventions—such as the Archimedes screw and compound pulleys—were applied in contexts similar to devices described by Vitruvius and used in ports across the Mediterranean. Siege engines and defensive war machines attributed to him intersect with the military histories of Hiero II of Syracuse and Roman commanders like Marcus Claudius Marcellus, and were later romanticized during the Renaissance by engineers in Italy influenced by texts preserved in Venice and Florence.
Surviving works of Archimedes include treatises such as "On the Sphere and Cylinder", "On Floating Bodies", "On Spirals", "The Sand Reckoner", "On the Equilibrium of Planes", and the rediscovered "The Method". Manuscripts of his works were transmitted through centers like Alexandria, preserved in collections linked to the Library of Alexandria legacy, copied in Byzantium, and translated into Arabic by scholars associated with the House of Wisdom and later into Latin during the Renaissance by translators in Sicily and Italy. Copies reached scholars such as Fibonacci and later commentators like Eutocius of Ascalon and T. L. Heath who edited and commented on texts. The rediscovery of the Archimedes Palimpsest in modern times revealed lost works, showing techniques akin to those of Apollonius and Pappus and influencing modern historians of science such as Reviel Netz and William Noel.
Archimedes' ideas shaped the trajectories of mathematics and physics from late antiquity through medieval Islamic transmission to the European Renaissance where figures like Galileo Galilei, Johannes Kepler, Isaac Newton, and Blaise Pascal drew on his methods. His mechanical principles informed engineers from Hero of Alexandria to James Watt and theoretical developments by Leonhard Euler and Joseph-Louis Lagrange. Institutions and honors bearing his name include Archimedes (crater), the Archimedes Prize in some contexts, and academic chairs in universities inspired by his legacy; his portrait and citations appear in museums such as the British Museum, Louvre Museum, and archaeological collections in Syracuse Archaeological Park. His work stimulated commentaries by Pappus of Alexandria and medieval scholars in Toledo and influenced Renaissance polymaths like Leonardo da Vinci, Galileo, and Benedetto Varchi.
Ancient accounts by Plutarch and Valerius Maximus recount Archimedes' death during the Roman capture of Syracuse when soldiers under Marcellus killed him despite orders for his safety. He is said to have been studying diagrams in sand when slain; this narrative appears in later retellings by Livy and illustrators in works by Giorgio Vasari and Raphael. Cultural depictions range from operas and plays by Carlo Goldoni and Aeschylus-inspired productions to modern novels, films, and biographies by authors such as Tom Sorell and historians like Derek de Solla Price. Artistic and literary tributes appear in Renaissance art, neoclassical sculpture, and modern science outreach in institutions like Smithsonian Institution and Royal Society exhibitions.
Category:Ancient Greek mathematicians Category:Hellenistic scientists