Science & technology

Elements

4th century BCE

Elements is a mathematical treatise in thirteen books written by the Greek mathematician Euclid in Alexandria, around 300 BCE. It collects and organises earlier geometry and number theory, building each result by logical proof from a small set of definitions, postulates and common notions. The work covers plane and solid geometry, proportion, prime numbers and irrational quantities. For about two thousand years it was the standard textbook of mathematics, copied and translated through Greek, Arabic and Latin traditions, and printed in many editions after the invention of the printing press. Its fifth postulate, on parallel lines, drew centuries of scrutiny and finally led to the discovery of non-Euclidean geometries in the nineteenth century.

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This moment belongs to the Ancient civilizations (3,200 BCE to 500 CE), writing, cities and empires.