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Euclid

10 questions · Science

Surprisingly little is known about Euclid's life (not even exactly when he was born. What is certain): around 300 BC he worked at the famous Musaeum of Alexandria, the greatest centre of learning in the ancient world. And he wrote the most successful textbook in history: the "Elements". In this work Euclid gathered the entire mathematical knowledge of his time: above all geometry. What was revolutionary was the method: he begins with a few self-evident basic assumptions, the axioms, and derives from them, step by step and strictly logically, hundreds of further theorems. This axiomatic approach still shapes mathematical thinking today, and the familiar school geometry is named "Euclidean geometry" after him. The "Elements" were used as the standard work for over two thousand years: scarcely any book but the Bible went through more editions. In it Euclid proved, among other things, that there are infinitely many prime numbers, with a proof so strikingly elegant that it is still taught today. According to one anecdote, King Ptolemy asked him whether there was not a shorter road to geometry than the "Elements". Euclid's reply: "There is no royal road to geometry." Knowledge cannot be shortcut.

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Where did Euclid work?

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Alexandria

Around 300 BC, at the Musaeum.

💡 Did you know? Euclid worked in Alexandria, the scholarly capital of the ancient world with its legendary library.

What is the title of Euclid's main work?

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Elements

The most successful maths textbook in history.

💡 Did you know? After the Bible, „The Elements“ was for centuries the most printed book in the world.

Which field does Euclid mainly treat?

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geometry

Points, lines, areas, solids.

💡 Did you know? Euclid's geometry is still taught in school: over 2,000 years after it was written.

On what approach does Euclid build?

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axiomatic method

Everything is derived from a few basic assumptions.

💡 Did you know? Euclid built all of geometry logically from a few basic assumptions (axioms): a model for all science.

What is the classical school mathematics of shapes based on the 'Elements' called?

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Euclidean geometry

The geometry of the flat plane.

💡 Did you know? „Euclidean geometry“ holds on flat surfaces: only in the 19th century were „curved“ alternatives discovered.

What did Euclid prove about prime numbers?

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infinitely many primes

With a famously elegant proof.

💡 Did you know? Euclid's elegant proof that there are infinitely many primes is still a model of mathematical beauty.

What did Euclid reply to the king?

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no royal road to geometry

Knowledge cannot be shortcut.

💡 Did you know? „There is no royal road to geometry“ Euclid is said to have told his king, who wanted an easier path.

Euclid

Foto: Photograph taken by Mark A. Wilson (Wilson44691, Department of Geology, The College of Wooster). [1] · Public domain · Wikimedia Commons

Which scientist is shown here?

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Euclid

Euclid was a Greek mathematician in Alexandria whose „Elements“ shaped geometry for over two millennia.

💡 Did you know? After the Bible, his textbook was for centuries the most printed work in the world.

In which year was Euclid born?

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325 BC

Born: c. 325 BC

In which year did Euclid die?

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265 BC

Died: c. 265 BC

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