Concept

Isosceles triangle

Related lectures (20)

Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.

Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Polar Coordinates: Jacobian Matrix and Examples

Covers polar coordinates, the Jacobian matrix, and examples of calculating areas in polar coordinates.

Triangles Isocèles

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

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Trigonometric Functions: Right Triangle

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Distance Axioms

Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.

Sets and Relations

Introduces sets, Cartesian product, order importance, and relations on sets.

Functions: Elementary Functions

Covers elementary functions like tan(x), sin(x), and cos(x) along with trigonometric identities and Pythagorean theorem.

Symplectic Rigidity: Forms of Symplectic Rigidity

Explores symplectic rigidity, including rigidity, flexibility, and dynamical rigidity, with a focus on symplectic manifolds and Lagrangian submanifolds.

Geometry of the Triangle

Covers the geometry of the triangle, including inequalities, heights, and centers.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Rasterization Pipeline: Triangle Measures

Explores the rasterization pipeline, emphasizing triangle measures and Z-buffer for visibility.

Norms and Valuations on Fields

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Introduction to Structural Mechanics

Covers the basics of structural mechanics, emphasizing static structures and truss analysis.

Regular Polyhedra: Symmetries & Generation

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Euclidean Norm: Properties and Special Cases

Explores the Euclidean norm properties, special cases, and applications of the Cauchy-Schwarz inequality.

Real Numbers: Properties and Formulas

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Finite Element Method: Basis Functions

Explains the construction of basis functions in the Finite Element Method, focusing on local to global mapping and numerical accuracy.