What are the major contributions of Euclid to technology and society and what did he discovered?
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His contribution was fourfold:
He collected important mathematical and geometric knowledge in one book. The Elements is a textbook rather than a reference book, so it does not cover everything that was known.
He gave definitions, postulates, and axioms. He called axioms "common notions."
He presented geometry as an axiomatic system: Every statement was either an axiom, a postulate, or was proven by clear logical steps from axioms and postulates.
He gave some of his own original discoveries, such as the first known proof that there are infinitely many prime numbers.
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