Why Are Cartesian Coordinate Systems Cartesian?

A Cartesian coordinate system is named after René Descartes. But Descartes did not first invent the Cartesian coordinate system nor did he first establish analytic geometry on the ground of the Cartesian coordinate system. Still it deserves its name, because the method of the Cartesian coordinate system is similar to that of Cartesian philosophy.
What Does Philosophy Start From?

Philosophy began in ancient Greece by inquiring what arche, namely the origin of everything is. Systemics as philosophy must also answer the question. The conclusion of our systemics is arche of the world and philosophy is uncertainty. The assertions made by the previous philosophers that arche is this or that element or the subject as substratum have come from forgetting the original arche. The uncertainty precedes everything historically and theoretically.