Lecture

Geometry of the Triangle

Related lectures (29)

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

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

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

Covers linear transformations, matrices, kernels, and properties of invertible matrices.

Explores the properties of bisectors and areas in Analytical Geometry.

Explores the scalar product of vectors, including properties and calculation methods.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

Explores the geometry of a triangle, focusing on special lines.

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

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

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

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

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

Explores parametric equations in 2D coordinates and their geometric interpretations in different reference frames.

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

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Explores intersections of lines and medians in a square geometry context.