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Translations and Homotheties
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Related lectures (29)
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Linear Independence and Bases
Covers linear independence, bases, and coordinate systems with examples and theorems.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Analytical Study of Lines in the Plane
Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.
Coordinate Systems and Vectors
Covers the concept of coordinate systems, landmarks, and vectors in space.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Orthogonal Projections and Reflections
Covers the analytical expression of orthogonal projections and reflections in 2D space.
Geometric Transformations in R2 and R3
Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.