Facts about Archimedes
- 14
Archimedes's treatise On the Measurement of the Circle proved that pi's value falls between 3.1408 and 3.1429 using geometric approximation methods around 250 BCE.
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Archimedes invented a compound pulley system that allowed a single person to launch a 50-ton warship by hand, demonstrating practical applications of mechanical advantage.
- 12
Crown density analysis inspired Archimedes to develop the method of hydrostatic weighing when King Hiero II suspected his goldsmith of cheating on a golden crown's composition.
- 11
Archimedes's spiral, a curve traced by a point moving at constant velocity along a rotating line, provided the mathematical basis for understanding circular motion and appeared in his work On Spirals.
- 10
Lever mechanics were so thoroughly understood by Archimedes that he claimed he could move the Earth if given a sufficiently long lever and a place to stand outside it.
- 09
Archimedes's most famous work, the Palimpsest, was scraped off by monks in the 10th century to reuse the parchment, nearly erasing his mathematical treatises from history.
- 08
Archimedes's method of exhaustion, which approximated pi to between 3.1408 and 3.1429 using 96-sided polygons, preceded calculus by nearly two thousand years.
- 07
Archimedes's treatise On Floating Bodies established the mathematical laws governing object density and displacement, forming the theoretical foundation for hydrostatics over two millennia before modern physics formalized the field.
- 06
During the siege of Syracuse, Archimedes designed defensive war machines including giant mirrors or polished shields that allegedly set Roman ships ablaze using concentrated sunlight.
- 05
Archimedes calculated that a sphere's volume is exactly two-thirds that of its circumscribing cylinder, a geometric proof he considered his greatest achievement.
- 04
Calculating the number of grains of sand that could fit in the universe was Archimedes's goal in his work the Sand Reckoner, completed around 215 BCE.
- 03
Buoyancy principles were demonstrated by Archimedes through his famous bathtub displacement method, establishing the mathematical foundation for calculating object volumes submerged in water.
- 02
The Archimedes screw, a device for raising water using a rotating helical surface inside a tube, remains used in irrigation and sewage treatment systems today.
- 01
In 212 BCE, Roman forces killed Archimedes during Syracuse's siege, ending the mathematician's contributions to geometry and engineering at age 75.