Isometries: Transformations Preserving Distances

Related lectures (31)

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Explores the evolution of projective geometry and its applications in architectural representation.

Introduces central symmetry, an isometry fixing a point and transforming other points.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Introduces vector definitions, displacement, addition, and applications in geometry.

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Introduces the axioms of connection in Euclidean geometry, emphasizing unique lines and non-collinear points.

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores reflections and translations in geometric transformations, demonstrating their stability and practical applications.

Explores the normalization of the product of 4 plane reflections in space.