Archimedes
Who was Archimedes?
Greek mathematician and physicist (c. 287 – c. 212 BC)
Biographical data adapted from Wikipedia’s article on Archimedes (CC BY-SA 4.0).
Biography
Archimedes of Syracuse (c. 287 – c. 212 BC) was a Greek mathematician, physicist, engineer, astronomer, and inventor from Syracuse in Sicily. While not much is known about his life, he is considered one of ancient Greece's top scientists and among history's greatest mathematicians. His mathematical ideas anticipated concepts from modern calculus, especially his use of infinitesimals and the method of exhaustion to tackle complex geometry problems.
Archimedes made significant contributions in several scientific areas. In mathematics, he figured out accurate approximations of pi, created formulas for the areas and volumes of various shapes like circles, spheres, ellipses, and parabolas, and developed the Archimedean spiral. His work on large numbers included an exponential system that could express enormous quantities, like counting grains of sand in the universe. He was among the first to apply mathematical ideas to physical principles, establishing key laws in statics and hydrostatics that still hold today.
His inventions and engineering work were also remarkable. The Archimedes screw, a device for lifting water, became widely used in the ancient world and still has applications today. He designed mechanical devices like compound pulleys and leverage systems, and possibly an early planetarium to demonstrate celestial movements. During the Roman siege of Syracuse, he used his engineering skills for military defense, creating innovative war machines that helped the city hold off the Romans for several years.
Archimedes died during the fall of Syracuse in 212 BC, killed by a Roman soldier even though the Roman commander Marcellus ordered that he should be spared. Accounts suggest he was so focused on his work that he didn't respond to the soldier's demands. His death was a great loss, but his mathematical and scientific achievements continued to influence scholars for many years.
Before Fame
Not much is known about Archimedes' early life, but he probably came from a well-off family that could give him a good education. Some ancient sources say he might have been related to King Hiero II of Syracuse, which would have given him access to the royal court and its resources. He likely studied in Alexandria, a major learning center in the ancient world, where he would have learned from the mathematical traditions of Euclid and other top scholars.
During the Hellenistic period, after Alexander the Great's conquests, there were new and significant opportunities for scientific exploration and sharing knowledge across cultures. Syracuse, a key Greek city-state in Sicily, was in a good position to take advantage of these changes. With support from rulers like Hiero II, scholars such as Archimedes could focus on theoretical research while also working on practical solutions for everyday problems.
Key Achievements
- Formulated Archimedes' principle explaining buoyancy and fluid displacement
- Calculated an accurate approximation of pi using geometric methods
- Invented the Archimedes screw for water transportation and irrigation
- Developed the method of exhaustion to calculate areas and volumes of curved shapes
- Established fundamental principles of leverage and the law of the lever
Did You Know?
- 01.He supposedly shouted 'Eureka!' (I have found it!) while running naked through the streets of Syracuse after discovering how to determine the purity of gold in King Hiero's crown using water displacement.
- 02.His tomb was decorated with a sphere inscribed in a cylinder, representing his proof that the volume of a sphere is two-thirds that of its circumscribing cylinder, which he considered his greatest mathematical achievement.
- 03.He calculated that it would take 8×10^63 grains of sand to fill the universe, developing new mathematical notation to express such enormous numbers in his work 'The Sand Reckoner.'
- 04.During the siege of Syracuse, he allegedly created a system of mirrors to focus sunlight and set Roman ships on fire, though modern experiments suggest this may be legendary.
- 05.He was so absorbed in mathematical problems that he would forget to eat and had to be forced by servants to bathe and take care of himself.