I am not sure that anyone was named AFTER the Cartesian coordinate system. Malcolm X, possibly!
It was invented by rene desCARTES and therefore named after him. It was named after him from his latin name, Renatus Cartesius.
The Cartesian Coordinate System.
It can be named by number pair.
The word "Cartesian" is named after the creator of the system itself, Rene Descartes (1596-1650), whose Latin name was Renatus Cartesius.
Cartesian coordinate system
This is called plotting the point on the Cartesian or coordinate plane.
If you mean point (2, 5) then it is in the 1st quadrant on the Cartesian plane
Origin
Cartesian coordinate system
It is the geometric representation, in the Cartesian plane, of the ordered pair.
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