The Euclidean plane is with its standard Euclidean norm and the resulting distance, angles, and Riemannian metric.
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The Euclidean plane is a two-dimensional geometric space that adheres to the principles of Euclidean geometry, named after the ancient Greek mathematician Euclid. It is characterized by several key features: 1. **Points and Lines**: The Euclidean plane consists of points, which have no dimensions, and straight lines, which extend infinitely in both directions, defined by two distinct points.