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Archimedes
c. 287–212 BC· Person· Tools, energy & materials
Well documentedSolid records, physical evidence or scientific consensus.
Greek mathematician and engineer of Syracuse, Sicily, who worked out the lever, buoyancy and the geometry of spheres.
See it on the Technology & Medicine map →How it works
Archimedes proved the law of the lever, explained why things float (an object is pushed up by the weight of the water it displaces), showed pi lies between 3 10/71 and 3 1/7, and found a sphere's volume is two-thirds that of its enclosing cylinder. He is credited with the water-lifting screw and with war machines that held off Rome's siege of Syracuse. A Roman soldier killed him when the city fell in 212 BC.
Why it mattered
He fused rigorous mathematics with practical mechanics, the approach Galileo and Newton later followed; his lever and buoyancy principles still underpin cranes and ship design.
Legacy and how we know
His own treatises, copied through Byzantine manuscripts, including the Archimedes Palimpsest, a 10th-century copy scraped and reused for a prayer book, imaged 1998–2008. Accounts by Polybius, Livy and Plutarch.
Still unknown or debated
The 'Eureka' bath story and burning mirrors against Roman ships are probably legends; whether he invented the screw or adapted an Egyptian device is unclear.
Connections (3)
▸Archimedes pioneered the mathematics of Greek and Roman engineeringWell documented
The connection
Before Archimedes, machines were built mostly by rule of thumb. He proved why a lever multiplies force in proportion to distance, found centres of gravity and worked out buoyancy. These became the theory behind cranes, pulleys, pumps and ship stability. Later engineers, including Heron and Vitruvius, cited his results.
When and how
Syracuse, Sicily, in the 200s BC; he corresponded with scholars in Alexandria such as Eratosthenes.
How we know
His treatises On the Equilibrium of Planes and On Floating Bodies survive; Heron and Pappus quote him, and Vitruvius tells stories about him.
Debates and open questions
How much Roman builders used his mathematics, versus traditional know-how, is unclear; most building probably ran on experience.
▸Archimedes may have inspired the gearing of the Antikythera mechanismDebated
The connection
Cicero wrote that Archimedes built a sphere showing the sun, moon and planets, carried to Rome after Syracuse fell in 212 BC. The Antikythera mechanism does the same with gears, and its calendar uses month names from Corinth and its colonies, including Syracuse. Some scholars suspect a workshop tradition descending from Archimedes.
When and how
Syracuse in the 200s BC; the mechanism dates to about 150–100 BC and sank in a shipwreck around 70–60 BC.
How sure are we?
Cicero's Republic describes Archimedes' sphere; Corinthian month names on the mechanism hint at Syracuse. No direct evidence links the two.
Debates and open questions
Others credit Hipparchus's astronomy or a workshop on Rhodes; whether Archimedes' sphere even used gears is unknown.
▸Archimedes was the model for Galileo GalileiMostly agreed
The connection
Galileo called Archimedes 'divine' and modeled his work on him. His first scientific essay, The Little Balance (1586), reconstructed how Archimedes might have detected a fake gold crown. Archimedes' way of explaining nature with geometry and simple principles, such as levers and buoyancy, shaped how Galileo approached motion.
When and how
Archimedes worked in Syracuse, Sicily, in the 200s BC; his works were printed in Basel in 1544 and studied by Galileo in Pisa and Padua from the 1580s.
How sure are we?
Galileo cites Archimedes repeatedly in his writings, and The Little Balance is explicitly an Archimedean study.
Debates and open questions
How much Galileo drew on Archimedes directly, versus through Renaissance mathematicians, is debated. The crown story itself is a legend, first told by the Roman writer Vitruvius.