
Althogh Sicily is now a part of Italy, it was at that time a part of Greece. The Greeks and their neighbours, the Romans of Italy, were fighting for dominance.
As Archimedes was a friend of King Hieron II, the ruler of Syracuse, he took part in the wars against the Romans.
The young Archimedes showed exceptional skills as a mathematician and engineer. Not only did he prove that the surface area of any sphere is four times that of its greatest circle, he also worked out the steps to calculate the volume of a sphere.
When King Hieron was presented with a crown, Archimedes was able to determine the gold content in it by weighing it in water. His other contributions included the Archimedes' claw, a weapon that could sink ships, and the Archimedes' screw, a machine that could pump up water without using electricity.
Archimedes was such a genius that when the Romans invaded Syracuse, their general gave orders that the mathematician should not be harmed.
However, Archimedes killed by a Roman soldier in one of the battles. He was buried in a tomb decorated with his favourite mathematical proofs.
Althogh Archimedes' formulae were popular, much of his work was forgotten until his books were translated. Arabic versions in the 8th century inspired scientists in the Middle East whereas Latin translations in the 16th century inspired European scientists.
Johannes Kepler, Galileo Galilei, Rene Descartes and Pierre de Fermat were among the influential scientists inspired by Archimedes.
Hence, it is no wonder that Archimedes is now called the father of mathematics.

A sphere and cylinder were placed on the tomb of Archimedes at his request.

the golden crown was less dense than solid gold.


parabolic reflector to burn ships attacking Syracuse.

is equal to 4/3 that of the inscribed triangle in the lower figure.
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