Lectures related to Distance Between Two Lines

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

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

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

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

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

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

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

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

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

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

Covers the vector product and its geometric interpretation in a Cartesian coordinate system.

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

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

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

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

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

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

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

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

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