He did not have to. Anything which was named after him was called Cartesian, so it must have been quite easy for him.
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The Cartesian Coordinate System was discovered by Rene Descartes.
Rene Descartes a french mathematician philosopher.
The Frenchmen Rene Descartes was a mathematician who popularized the Cartesian Plane. The Cartesian Plane is found in Algebra. Rene Descartes was born in 1596.
Rene descartes
How did Rene Descartes come up the cartesian plane?