Pappus of Alexandria

4th century Greek mathematician

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Lived 290–350, aged 60Egypt

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Era
290–350
Aged 60

Summary

Updated 2026-06-11

A mathematician working in the long twilight of ancient Greek science, teaching geometry in fourth-century Alexandria while the classical tradition wound down around him — then rediscovered over a millennium later, when Europe began reading his compendium and found tools it had forgotten.

Biography

About

Almost nothing survives about Pappus's life except scattered mentions in his own writings, many now lost. He lived in Alexandria around 290–350 AD, teaching advanced mathematics to students like Hermodorus. Around 340 he compiled the Synagoge, or Collection, an eight-volume survey of the ancient curriculum: geometry, astronomy, mechanics, the span of what a serious student was expected to know. He worked during what most historians consider a period of stagnation, and opinion split on whether he was a rare bright spot or a symptom of the decline that had already set in. His reputation followed…

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In their own words

Sourced, dated quotes from Pappus of Alexandria

Pappus of Alexandria

saidundated

He Apollonius of Perga] spent a very long time with the pupils of Euclid at Alexandria, and it was thus that he acquired such a scientific habit of thought.

— Vol. 1 Tr. T. L. Heath of Euclid's (c. 300 BC) text

Pappus of Alexandria

saidundated

Now analysis is of two kinds, the one directed to searching for the truth and called theoretical, the other directed to finding what we are told to find and called problematical.

— Vol. 1 Tr. T. L. Heath of Euclid's (c. 300 BC) text

Pappus of Alexandria

saidundated

This is also evident from what Pappus has done in the beginning of his seventh book, where...

— René Descartes, translation The Geometry of René Descartes (1925) by David E. Smith and Marcia L. Lantham, unless otherwise noted.

Pappus of Alexandria

saidundated

The question, then, the solution of which...

— René Descartes, translation The Geometry of René Descartes (1925) by David E. Smith and Marcia L. Lantham, unless otherwise noted.

Pappus of Alexandria

saidundated

Since there is always an infinite number of different points satisfying these requirements, it is also required to discover and trace the curve containing all such points.

— René Descartes, translation The Geometry of René Descartes (1925) by David E. Smith and Marcia L. Lantham, unless otherwise noted.

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