## The bases of the Euclidean plane: vectors and coordinates

The representation of the Euclidean plane as the Cartesian product \(\mathbb R^2\) allows us to decompose any vector of the plane into two coordinates, its abscissa and its ordinate. This

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# coordinates

## The bases of the Euclidean plane: vectors and coordinates

## The Euclidean Plane: Ancient Geometry and Modern Approach

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The representation of the Euclidean plane as the Cartesian product \(\mathbb R^2\) allows us to decompose any vector of the plane into two coordinates, its abscissa and its ordinate. This

From Descartes' analytic approach, which consists in introducing coordinates to represent the points of the plane, and from Cauchy's construction of the real numbers, we can give a modern representation