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Lecture
Euclidean Isometries: Properties and Applications
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Related lectures (30)
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Geometry: Transformations and Isometries
Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.
Isometries in R^n
Explores the standard form of isometries in R^n and the preservation of distances.
Symmetry in Modern Geometry
Covers symmetry in modern geometry, reflections, translations, rotations, compositions of isometries, fundamental theorems, configurations of lines and planes, and surface analysis.
Isometries and Orthonormal Bases
Discusses isometries and orthonormal bases in mathematics.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Matrices and Orthogonal Transformations
Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.
Orthogonal Matrices, Equivalences
Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.
Isometries in Space: Orientation & Reflections
Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.
Introduction to Isometries in Space
Covers isometries in space, reflections, rotations, axial reflections, and geometric constructions.
Translations: Isometries and Compositions
Explores translations as compositions of reflections and their properties in preserving orientation, including the special case of identity.
