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Cartesian geometry, developed by René Descartes, is crucial because it establishes a systematic framework for representing geometric shapes algebraically through coordinates. This integration of algebra and geometry allows for the formulation of geometric problems using equations, facilitating calculations and enabling the application of algebraic techniques. Additionally, it laid the foundation for analytic geometry and calculus, significantly advancing mathematical analysis and its applications in physics, engineering, and computer science. Its influence is evident in various fields, making it a cornerstone of modern mathematics.

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Related Questions

What is the importance of cartesian plane?

The Cartesian plane is important inasmuch that it is used in coordinated geometry for plotting straight line equations as an example


How is the Cartesian planes used?

The Cartesian plane is used for coordinated geometry.


What important achievements did René Descartes make?

He was a French mathematician who introduced coordinated geometry and the Cartesian plane.


What are the example of plane in geometry?

An example is the Cartesian plane where coordinated geometry is plotted


What is a geometry enlargement?

It is the transformation of a shape on the Cartesian plane


Who is the frenchman who merged algebra and geometry?

It was Rene Descartes who devised coordinated geometry on the Cartesian plane


Who is Rene Descartes an how did he change geometry?

He was a French mathematician who created coordinated geometry that is plotted on the Cartesian plane.


When are systems of linear equations used?

In coordinated geometry on the Cartesian plane


What is Rene Descartes know for?

He created coordinated geometry that is plotted on the Cartesian plane


How is analytical geometry important?

Analytical geometry is more commonly known as coordinate geometry. Using Cartesian, Polar or other coordinates systems, geometric shapes can be represented in algebraic terms. This bringing together of algebra and geometry enables the results in one branch of mathematics to be applied to finding solutions in the other.


What are René Descartes' contributions to the society?

Descartes created the Cartesian coordinates and the Cartesian curves and has often been given credit for analytical geometry. he was a mathmatician


What were René Descartes main contributions to mathematics?

He introduced coordinated geometry and the Cartesian plane