Hello, Analytic geometry has provided us with such profound tools for thinking that it is hard to imagine what thinking must have been like before we had such tools. Two particular developers of these tools are Pierre de Fermat and Renee Descartes in 17th century France. I would like to compare the analytic geometry of these two mathematicians. Particularly, how Fermat's Method of Adequality relates to the work of Descartes. Also, how, if at all, they influenced each other. Thoughts? Thanks, DeeAytch.