Concept

Right triangle

Related lectures (28)

Pythagorean Theorem

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

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.

Trigonometric Functions: Triangle Relations

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

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.

Topology of Riemann Surfaces

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

Lines of Slope: Descriptive Geometry

Explores lines of slope in descriptive geometry, analyzing their properties and relationships within a plane through sketches and examples.

Thales Theorem

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

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Regular Pentagon Construction

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

Angles: Degrees and Triangle Sum

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

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.

Mediatrix and Bisector

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

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Triangles Isocèles

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

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.

Cosine Theorem

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

Elementary Operations in Geometry

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

Angle Conjectures and False Claims

Discusses angle conjectures, false claims, geometric configurations, and finding collections of sets.