Isometries: Transformations Preserving Distances

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Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Explores the concept of symmetry in various geometric transformations.

Explores the configurations and transformations of three planes in space.

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.

Discusses isometries and orthonormal bases in mathematics.

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Explores geometric transformations, symmetries, inversion, and isometries in plane geometry.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.