Eudoxus
# Eudoxus of Cnidus

### Born: 408 BC in Cnidus (on Resadiye peninsula), Asia Minor (now Turkey)

Died: 355 BC in Cnidus, Asia Minor (now Turkey)

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**Eudoxus** studied at Plato's Academy and was a student of Archytas of Tarentum. He spent over a year in Egypt and then, on his return, established a school that competed with Plato. There is ample evidence to suggest that Eudoxus had little respect for Plato's analytic ability.

Eudoxus proposed a heliocentric system for the solar system; a very important contribution. Other important contributions were to the theory of proportion, where he made a definition of equal ratios similar to cross multiplying, and early work on integration with the theory of exhaustion.

The kampyle curve was studied by Eudoxus also in relation to the classical problem of duplication of the cube. Eudoxus found formulas for measuring pyramids cones and cylinders. Books V and XII of Euclid's *Elements* are attributed to Eudoxus by some experts.

**References (17 books/articles)**

**References elsewhere in this archive:**

You can see more about the Kampyle curve

Eudoxus was one of the early mathematicians to investigate squaring the circle. The method of exhaustion was developed by Archimedes and led to an early determination of an approximation for .

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There is a **Crater Eudoxus** on the moon. You can see a list of lunar features named after mathematicians.

JOC/EFR December 1996