He developed one of the earliest concepts of limits , a fundamental topic in calculus,. He used the limiting process along with his method of exhaustion to provide a very close approximation of pi.
He also developed a method of calculating volume through water displacement.
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He discovered a ultimately great art of Mathematics
Because he went to babylion war first
One of the things that Archimedes did not do is that Archimedes did not write Elements of Geometry.
he is mainly a teacher who teaches children in college about math He is also in math/ science related movies.
Well all i know is that he was a sociologist.