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Lecture
Thales Theorem
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Related lectures (23)
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.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Pythagorean Theorem
Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Geometry of the Triangle
Covers the geometry of the triangle, including inequalities, heights, and centers.
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.
Triangle Resolution: Trigonometry Basics
Covers the resolution of triangles using trigonometric functions to find missing sides and angles.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.
Mediatrix and Bisector
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
Trigonometric Functions: Right Triangle
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
Angles: Degrees and Triangle Sum
Introduces measuring angles in degrees and radians, the sum of angles in a triangle, and angle properties.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Triangle Geometry: Special Lines
Explores the geometry of a triangle, focusing on special lines.
Distance Axioms
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Analytical Geometry: Bisectors and Areas
Explores the properties of bisectors and areas in Analytical Geometry.
Center of Gravity: Barycenter
Explores the center of gravity in triangles and the barycenter theorem.
Analytical Geometry: Proof of Exercise 5
Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.
Optimization Problems
Explores optimization problems to find global extrema of functions over domains.
Trigonometric Functions: Triangle Relations
Explains the relations in a right-angled triangle involving trigonometric functions.
Analytical Geometry: Triangle Properties
Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
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