Transformations of the Plane: Definitions and Properties

Related lectures (32)

Explores geometric transformations like translation and homothety in the plane.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores rotation in analytical geometry, including center coordinates and fixed points.

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

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Explores homotheties, fixed points, and composition of water in transformations.

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

Covers the theory and examples of conformal applications, focusing on the concept of conformal mappings and Moebius transformations.

Page 2 of 2