Archimedes of Syracuse was an ancient Greek mathematician, physicist, engineer, inventor, and astronomer who lived from approximately 287 to 212 BCE. He is widely considered the greatest mathematician of antiquity and one of the greatest of all time. He made fundamental discoveries in geometry, calculus, hydrostatics, and mechanics, and designed war machines that held off the Roman siege of Syracuse for two years. His famous exclamation "Eureka!" ("I have found it!") upon discovering the principle of buoyancy has become the universal expression of scientific breakthrough.

What Is Archimedes Known For?

Archimedes is known for a remarkable range of achievements. He calculated the most accurate value of pi in the ancient world, discovered the principles of buoyancy and the lever, and developed methods for calculating the areas and volumes of curved surfaces that anticipated integral calculus by nearly two thousand years. His war machines — including giant claws that could lift Roman ships from the water and catapults of unprecedented range — made the defense of Syracuse legendary. He also designed the Archimedean screw, a device for raising water that is still used today.

What Is the Eureka Story?

According to the Roman writer Vitruvius, King Hiero II asked Archimedes to determine whether a crown was made of pure gold without damaging it. While bathing, Archimedes noticed that the water level rose as he entered the tub and realized that he could measure the volume of irregular objects by displacement. By comparing the water displaced by the crown with water displaced by an equal weight of pure gold, he could determine whether the crown had been adulterated with silver. He was so excited that he ran through the streets unclothed, shouting "Eureka!"

How Did Archimedes Die?

Archimedes was killed during the Roman capture of Syracuse in 212 BCE. According to the most common account, a Roman soldier found him absorbed in a mathematical diagram drawn in the sand. Archimedes reportedly said "Do not disturb my circles," and the soldier, either insulted or unaware of who he was, killed him. The Roman general Marcellus was reportedly grieved by the death and ordered that Archimedes receive an honorable burial. His tomb was marked with a sphere inscribed in a cylinder, representing his proudest mathematical discovery.

Can You Talk to Archimedes?

You can speak with Archimedes on HoloDream, where he appears as a historical AI companion. He brings the mind of a man who could design weapons of war and calculate the area under a curve with equal brilliance. If you love the moment when a hard problem suddenly becomes clear, Archimedes invented the word for that feeling.