I need a 1-2-page explanation of the Cartesian Method and identify some of the potential problems with, and appeal of, this approach.

I need a 1–2-page explanation of the Cartesian Method and identify some of the potential problems with, and appeal of, this approach. Try to illustrate key aspects of this method with your own examples. Please use Roots of Wisdom 7th edition 2015. I've attached photos of the notes and passage.