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Euclid
Mathematician

Euclid

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Organising geometry into a logical system of definitions, assumptions and proofs in the Elements.

Elements · Optics

Born
Unknown
Birthplace
Unknown

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Euclid

Euclid was a Greek mathematician associated with Alexandria around 300 BCE. His Elements brought earlier discoveries into an ordered mathematical argument. Almost nothing certain survives about his private life, but his approach to proof shaped mathematics for centuries.

Early life

Uncertain origins

His birthplace and birth date are unknown; ancient accounts of his life were written much later.

Greek geometry

His writings draw on the mathematical traditions of earlier Greek scholars; a specific school or teacher cannot be established.

Career

  1. Around 300 BCE

    Alexandrian mathematics

    Traditionally placed in Alexandria under Ptolemy I, developing systematic treatments of geometry and related subjects.

  2. Around 300 BCE

    A body of treatises

    His surviving writings range from mathematical foundations to the geometry of vision; their internal chronology is uncertain.

Contributions

Elements

Thirteen books develop geometry, proportions and number theory through proofs.

Optics

Examines apparent size and perspective through geometrical reasoning.

Data

Studies what follows when particular properties of a geometrical figure are given.

Beyond mathematics

A different Euclid

He was repeatedly confused with Euclid of Megara, an earlier philosopher.

The royal-road story

The famous reply that geometry has no royal shortcut comes from a later anecdote, not a contemporary record.

Sources & photo creditLife, career and referencesInstitutional biography and research

Photo: Jusepe de Ribera (Spanish / Italian, 1591 - 1652) (1591 - 1652) – artist (Spanish / Italian) Details on Google Art Project; historical depiction, not a contemporary photograph. Public domain · Original image. Cropped and displayed in monochrome.