Below are links to pages with diagrams of the mathematical theorems and tools described in chapter 45

The Theorem of Thales   http://www.vias.org/comp_geometry/geom_thales_theorem.html

The proof of Pythagoras's Theorum    http://www.mathsisfun.com/pythagoras.html

Pythagorean Triples  http://www.mathsisfun.com/pythagorean_triples.html

Platonic solids  http://www.uwgb.edu/dutchs/symmetry/platonic.htm

Sieve of Eratosthenes    http://www.murderousmaths.co.uk/books/MMoE/erat.htm

Archimedes's Method    http://lesbillgates.hubpages.com/hub/Mathematical-greats-Archimedes