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Lecture
Geometric Transformations: Symmetries and Inversion
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Related lectures (27)
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Geometric Transformations: Reflections
Explores reflections in the plane with an orthonormal coordinate system and the properties of the reflection transformation.
Geometry II: Modern Geometric Transformations
Explores modern geometric transformations and invariances, focusing on projective geometry and historical developments.
Inversion & Orthogonal Circles
Explores the concept of inversion relative to a circle and its applications in constructing orthogonal circles.
Translations and Homotheties
Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.
Isometries: Transformations Preserving Distances in the Plane
Introduces isometries as transformations preserving distances in the plane, focusing on symmetry and geometric relationships.
Geometry: Reflections and Transformations
Explores geometry transformations, emphasizing isometries, point reflections, rotations, and translations to illustrate fundamental geometric principles.
Geometry: Transformations and Isometries
Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.
Homotheties and Translations
Explores homotheties and translations in geometry, focusing on preserving alignment and distances.
Rotations and Symmetries
Covers the preservation of isometry by rotations and symmetries.
Geometric Projections: Historical Perspectives and Applications
Explores the evolution of projective geometry and its applications in architectural representation.
