Theorem 3

Constructing figures of a given area and geometrical algebra. For example they solved equations such as a (a - x) = x² by
geometrical means.

Since this theorem deals with advanced mathematics, you will only be asked to read about geometric algebra.  Follow the links to learn more on this subject, then look at some of the examples.  When you are done, write a brief statement about what you learned.

http://www.mathgym.com.au/history/pythagoras/pythalg.htm
http://www.mathgym.com.au/history/pythagoras/Activity5.htm