## Day 23: Archimedes

### Summary

Continuing discussion of Archimedes.

Geometrical and numerical propositions.

We will discuss the following:

On the Sphere and
Cylinder I: Propositions
33 and 34.

Dimension of the Circle:
Propositions 1-3.

Quadrature of the Parabola:
Propositions 23 and 24.

Method: Introduction and
Proposition 1.

### Reading

R. Calinger, *Classics of Mathematics*, 137-141,
146-147.

V.J. Katz, *A History of Mathematics*, Section 3.1.

D. Burton, *History of Mathematics*, 201-214.

J. Fauvel and J. Gray, *The History of Mathematics*, 4A1, 4A4.

### Homework

Write up assigned Archimedean proposition with commentary.

On to Day 24.

Up to Ancient
and Classical Mathematics

Last modified: 9 November 2005
Duncan
J. Melville

Comments to dmelville@stlawu.edu