Concept

Altitude (triangle)

Related lectures (30)

Analytical Geometry: Triangle Properties

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

Triangle Resolution: Trigonometry Basics

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

Pythagorean Theorem

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

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Trigonometric Functions: Triangle Relations

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

Geometry of the Triangle

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

Triangle Geometry: Special Lines

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

Triangle Geometry: Area Formula

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

Angles: Degrees and Triangle Sum

Introduces measuring angles in degrees and radians, the sum of angles in a triangle, and angle properties.

Triangle Relations: Sinus Theorem

Explores triangle relationships, including the Sinus Theorem and circumscribed circles.

Trigonometric Functions: Right Triangle

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

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Analytical Geometry: Proof of Exercise 5

Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.

Cosine Theorem

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Triangle Geometry: Special Lines (Part 2)

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

Mediatrix and Bisector

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

Center of Gravity: Barycenter

Explores the center of gravity in triangles and the barycenter theorem.

Thales Theorem

Explores the Thales Theorem, stating equal ratios of segments in triangles.

Angle at the Center & Power of a Point

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.

Polygonal Lines: Definitions and Examples

Covers polygonal lines, polygons, separation of the plane, and triangle distances.