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Lecture
Geometry: Transformations and Isometries
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Related lectures (29)
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Descriptive Geometry: The Sphere
Covers the definitions and properties of a sphere, including its projections and apparent contours.
Coordinate Systems: Cylindrical, Spherical, Rotations
Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.
Composition of Plane Reflections & Isometries in Space
Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.
Geometric Projections: Historical Perspectives and Applications
Explores the evolution of projective geometry and its applications in architectural representation.
Geometric Rotations in 2D
Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Special Cases of 3 Plane Reflections
Explores the configurations and transformations of three planes in space.
Rotations (2D): Definitions and Analytical Expressions
Covers the concept of 2D rotations and their analytical expressions.
Homotheties and Translations
Explores homotheties and translations in geometry, focusing on preserving alignment and distances.