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Hippocrates and Euclid made their greatest achievements in the fields of Mathematics, Medicine, and Engineering.
Euclid's elements are a set of 13 books on mathematics written by the Greek mathematician Euclid around 2,300 years ago.
Geometry
Euclid is given the honor of being the Father of Geometry. In his book, 'The Elements', Euclid defines the concept of points, lines and planes and together with postulates and theorems develops the subject known as geometry. This occurred in around 300 BCE.
Hippocrates and Euclid made their greatest achievements in the fields of Mathematics, Medicine, and Engineering. Found in "Halt Social Studies: World History" in Chapter 9, Section 4 - Greek Achievements on page 282.