He found that the crown displaced more water than the gold but less than the silver, thereby proving that the crown contained some other metal which was less dense than gold. He then successively immerses the gold, the silver, and the crown in a container filled to the brim with water and measured the volume of water that overflowed with each material. The king suspected that a solid gold crown he ordered was partly made of silver.Īrchimedes took two pieces of pure gold and of pure silver that had weights identical to the weight of the crown. The legends goes further and tells that Archimedes was so excited with his discovery that he hopped out of the bath, and rushed naked into the street yelling triumphantly, "Eureka!" "Eureka!" (Greek word for 'I have found it!).Īnother legend describes how Archimedes uncovered a fraud against King Hieron II of Syracuse using his principle of buoyancy. Through further experiments, he deduced the above mentioned Archimedes' principle. He realized that the water that ran over equaled in volume the submerged part of his body. Legend says that Archimedes discovered the principle of displacement while stepping into a full bath. His most famous theorem gives the weight of a body immersed in a liquid, called after him, Archimedes' principle - that a body immersed in aįluid is subject to an upward force (buoyancy) equal in magnitude to the weight of fluid it displaces. In mechanics Archimedes discovered fundamental theorems concerning the centre of gravity of plane figures and solids. He invented a system for expressing large numbers. Archimedes also gave an accurate approximation to Pi and showed that he could approximate square roots accurately. Archimedes was able to apply the method of exhaustion, which is the early form of integration, by which he calculated different areas and volumes of geometric shapes and solids. Among his other important inventions: the lever, the compound pulley and Archimedes’ screw.īut his greatest fame lies in the field of mathematics. After a two-year siege the Romans finally entered the city, and Archimedes was killed in the battle that followed. He is said to have suggested a method of employing mirrors to set enemy ships afire. When the Romans attacked Syracuse, Archimedes invented weapons to defend the city. ![]() 287-212 BC) is considered as one of the greatest mathematicians and inventors of all time.Īrchimedes was born in Syracuse, Sicily. Archimedes may have used mirrors acting collectively as a parabolic reflector to burn ships attacking Syracuse.
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