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Pythagoras and Euclid were best known for their work in mathematics.
The "grandfather of mathematics" is often considered to be the ancient Greek mathematician Euclid. Euclid is known for his work "Elements," a mathematical and geometric treatise that has had a profound influence on the development of mathematics. His systematic approach to geometry and his emphasis on logical reasoning laid the foundation for much of modern mathematics.
MATHEMATICS
Euclid is best known for his work titled Elements, a thirteen-volume textbook on the principles of mathematics. They include treatises on plane geometry (a branch of geometry dealing with plane figures), proportion (the relationship among parts), Astronomy (the study of stars, planets, and heavenly bodies), and music. Although no one knows if all of the work in Elements was Euclid's or if he compiled the mathematical knowledge of his colleagues, the work formed an important part of mathematics for 2,000 years. It constituted the simplest of all geometry definitions, theorems and axioms which could be understood by all. Although the definitions, axioms and theorems were very easy, they were very important for the daily use of mathematics.
Continuity in mathematics is the first derivative equal to zero or the Boundary condition.