Lectures related to Sum of angles of a triangle

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

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

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

Explains the relations in a right-angled triangle involving trigonometric functions.

Explores exterior angles in triangles, inscribed angles in circles, and a point's power relative to a circle.

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

Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.