Archimedes was asked by a king, one day to find out if his crown was made out of pure gold without damaging it. Before Archimedes came up with the concept of the Archimedes principle, the only way to find out if things were made out of pure gold was they would have to melt the item. To figure if the crown was made of pure gold Archimedes used the Archimedes’s principle. Archimedes’s principle states that a body immersed in a fluid experiences a buoyant force equal to the weight of the displaced fluid.
The Archimedes screw was a machine with a revolving screw shaped blade inside a cylinder which would pump water threw it. The Archimedes screw was created when Archimedes was studying in Egypt and is still used today in Egypt. The Archimedean screw helped the Egyptians pump water out of rivers and helped pump water back into the ocean when hurricane Katrina hit New Orleans. Another weapon made by Archimedes was the claw that was a crane like arm with a hook that would drop on an attacking ship, swing upwards lifting the ship out of the water and possibly even sinking the ship. Machines of war created by Archimedes helped Syracuse defeat the attack of Roman fleets. The catapults, levers, and pulleys were also created to help defeat the Romans when they tried to attack Syracuse.
Archimedes early advances in mathematics included the first known outline of infinite series which is still used today. Archimedes determined that the area of a circle was equaled to