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ArchimedesArchimedes was one of the biggest mathematical geniuses this world has ever seen. Many of his inventions and ideas still play a role in the world we live in today. Archimedes was the son of an astronomer and mathematician named Phidias. He was born in the city of Syracuse on the island of Sicily in 287 BC. Syracuse was a focal point for art and science which were a strong influence on the maturing Archimedes. As he grew, he soon became obsessed in a curiosity for problem solving. After learning as much as he could in Syracuse, Archimedes traveled to Alexandria in Egypt to study for many years. He later returned with a strong education to push his limitations and study independently.Archimedes foresaw modern calculus and analyzation by using concepts of infinitesimals and the method of exhaustion to derive and prove a range of geometrical theorems. This included the area of a circle, the surface area and volume of a sphere, and the area under a parabola. He also derived an accurate estimate of pi, creating a system using exponentiation for expressing very large numbers. He was also one of the first to apply mathematics to the physical world. He used his strong mathematical skills to become a pioneer in the world of physics.During Archimedes life he accomplished many feats and used his strong mind to assist his people. His king, Hiero II, was very fond of him and recognized his problem solving skills. Archimedes helped him on many occasions throughout his life. One such story tells of how King Hiero was unable to empty rainwater from the hull of one of his ships. The King called upon Archimedes for assistance. Archimedes' solution was to create a machine consisting of a hollow tube containing a spiral that could be turned by a handle at one end. When the lower end of the tube was placed into the hull and the handle turned, water was...

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