# Book:Euclid/The Elements/Book V/Historical Note

## Historical Note on Euclid's *The Elements*: Book $\text{V}$

Book $\text{V}$ of Euclid's *The Elements* was supposedly done by Eudoxus of Cnidus.

It is an attempt to give a rigorous treatment of the concept of certain irrational quantities such as the geometric mean of two integers.

It has been suggested that this work was one of the main precursors and influences behind the development of the mathematical discipline of set theory.

## Sources

- 1972: Patrick Suppes:
*Axiomatic Set Theory*(2nd ed.) ... (previous) ... (next): $\S 1.1$ Set Theory and the Foundations of Mathematics