Vector Study: Equations and Observations

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Related lectures (26)

Page 2 of 3

Explores reflections in the plane with an orthonormal coordinate system and the properties of the reflection transformation.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Barycenters: Examples

Covers examples of barycenters and expressing points as barycenters of given points.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Green's Theorem in 2D: Applications

Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.

Geometric Transformations in the Plane: Examples

Explores geometric transformations in the plane through rotation and reflection examples, emphasizing analytical formulas and characteristic elements.

Curvature and Osculating Circle

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Symmetries in Plane Geometry

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.