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The Orientation of the Euclidean Plane: Bases and Angles

The Orientation of the Euclidean Plane: Bases and Angles

by Jean Barbet | Jun 22, 2021 | Algebra, Geometry, Non classé

The visual intuition through which we represent the Euclidean plane suggests that we can orient it according to a direction of rotation. This intuition reflects a rigorous mathematical definition of the orientation of the plane, which involves choosing a basis and,...
Measuring plane vector angles : algebra meets analysis

Measuring plane vector angles : algebra meets analysis

by Jean Barbet | Feb 13, 2021 | Algebra, Geometry, Non classé

Introduction In Vector angles: geometric intuition and algebraic definition, we defined and described the group of Euclidean plane vector angles algebraically, using an equivalence relation on unit vectors. Just as we can measure lengths, we learn at primary school...

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