Lectures related to Similarity (geometry)

Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Explores the area formula for triangles using base, height, and determinants.

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

Covers translations, homotheties, and their geometric properties, including reversibility and composition.

Covers trust region methods, focusing on the framework and algorithms.

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Covers the definition and characterization of isosceles triangles and how to recognize them.

Explores triangle bisectors, locus of equidistant points, and incenter intersection.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Explores ray-triangle intersection, barycentric coordinates, points vs. vectors, and other primitives.

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Covers fluid kinematics, focusing on streamlines, pathlines, and streaklines in fluid flow visualization.

Covers examples of determining the area of a triangle and finding equations.

Explores geometric transformations like translation and homothety in the plane.

Explores dynamic similarity in hydrodynamics, covering scaling forces, wake dynamics, drag influence, and non-dimensional relations in fluid flow.

Delves into Kolmogorov's theory on turbulence, discussing scaling exponents and the 4/5-law.