Lectures related to Distance Between Two Lines

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Analytical Geometry: Mixed Product and Determinant

Covers the analytical expression of the mixed product and its applications.

Vector Equations and Normal Equations

Explores vector and normal equations, covering lines, intersections, and distances in 2D and 3D geometry.

Curvature and Osculating Circle

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

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Orthogonality and Least Squares Method

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Mechanics: Introduction and Calculus

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Decomposition of a Vector

Covers the decomposition of a vector in a base and its applications in speed and distance calculations.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Analytical Geometry: Circles and Tangents

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

Electromagnetism: UNIL-208

Introduces the basics of electromagnetism, covering derivatives, vector calculus, scalar and vector products, and their applications in physics and engineering.

Mediatrix and Bisector

Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.

Studying Mechanics: Vector Calculus

Covers vector calculus, including scalar and vector products, with insights from Dr. Sylvain Bréchet.

Geometry: Euclidean Elements & Vitruvius

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

Relative Positions in Space

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

Main Lines of a Plane: Sketch and Properties

Covers defining a plane by its traces and determining its properties.

Barycenters: Examples

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

Theorem of Three Perpendiculars, Shadow of a Point

Explains the Theorem of Three Perpendiculars and shadow casting of points on planes.

Analytical Geometry: Cross Product and Orientation

Explains the cross product in analytical geometry and vector orientation.