Rotations: Isometries and Axes

Related lectures (29)

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

Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.

Covers the definitions and properties of a sphere, including its projections and apparent contours.

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

Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores the modern definition of symmetry and its practical applications.

Explores the properties and applications of Euclidean isometries in R^2.

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.