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The bases of the Euclidean plane: vectors and coordinates

The bases of the Euclidean plane: vectors and coordinates

by M4t_6_onL | Apr 23, 2022 | Algebra, Geometry

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 decomposition is linked to a particular and natural “representation...
The Euclidean Plane: Ancient Geometry and Modern Approach

The Euclidean Plane: Ancient Geometry and Modern Approach

by M4t_6_onL | Sep 13, 2021 | Geometry

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 of the euclidean plane from which we recover...

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