Premise: Archimedes . Archimedes of Syracuse ( [ ˌɑːkɪˈmiːdiːz ] Ἀρχιμήδης ) was a Greek mathematician , physicist , engineer , inventor , and astronomer . Generally considered the greatest mathematician of antiquity and one of the greatest of all time , Archimedes anticipated modern calculus and analysis by applying concepts of infinitesimals and the method of exhaustion to derive and rigorously prove a range of geometrical theorems , including the area of a circle , the surface area and volume of a sphere , and the area under a parabola . Unlike his inventions , the mathematical writings of Archimedes were little known in antiquity . Mathematicians from Alexandria read and quoted him , but the first comprehensive compilation was not made until by Isidore of Miletus in Byzantine Constantinople , while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time .
Hypothesis: Archimedes worked in mathematics.
Label: ENTAILMENT