Science & technology

Archimedes' principle

3rd century BCE

Archimedes' principle states that a body immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. It is attributed to Archimedes of Syracuse, the Greek mathematician and inventor of the third century BCE, who set out the idea in his work On Floating Bodies. A famous story, told by the Roman writer Vitruvius, says that he discovered it while in the bath, when he was trying to determine whether a crown made for King Hiero II was pure gold, and ran out shouting Eureka. Historians doubt that the story is true in detail. The principle explains why ships float and underlies the design of hydrometers, submarines and balloons.

Open on the timeline

Before and after

More in Science & technology

The era

This moment belongs to the Ancient civilizations (3,200 BCE to 500 CE), writing, cities and empires.