The use of equations allows one to call on a large area of mathematics to solve geometric questions. The Cartesian coordinate system transforms a geometric problem into an analysis problem, once the figures are transformed into equations; thus the name analytic geometry. This point of view, outlined by Descartes, enriches and modifies the type of geometry conceived of by the ancient Greek mathematicians.
The use of equations allows one to call on a large area of mathematics to solve geometric questions The Cartesian coordinate system transforms a geometric problem into an analysis problem once the figures are transformed into equations; thus the name analytic geometry This point of view outlined by Descartes enriches and modifies the type of geometry conceived of by the ancient Greek mathematicians