Homework Sheet Number Four

Primes and Geometry in the Fourth Century BCE

1. Show that Archimedes construction, similar to the diagram on page 167 of the text (change which point is labeled D’), actually works. That is, prove that angle D’OA is one third of angle g.

2. Use worksheet number four, begun in class, to find the 168 primes less than 1,000.

3. Do problem number 4.3 of chapter six, from the web site.