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Pythagorean Theorem
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Related lectures (49)
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Distance Axioms
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Mediatrix and Bisector
Explores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
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.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.
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: Right Triangle
MOOC: Trigonometric, Logarithmic and Exponential Functions
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
Geometric Proportions: Euclidean Elements
Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.
Thales Theorem
Explores the Thales Theorem, stating equal ratios of segments in triangles.
Optimization Problems
Explores optimization problems to find global extrema of functions over domains.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Angles: Degrees and Triangle Sum
Introduces measuring angles in degrees and radians, the sum of angles in a triangle, and angle properties.
Triangle Inequality Theorem
Covers the Triangle Inequality Theorem in triangles, showing side length relationships.
Geometry of the Triangle
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Covers the geometry of the triangle, including inequalities, heights, and centers.
Barycentric Coordinates: Quiz Session
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Covers the concept of barycentric coordinates and includes quizzes for practice.
Remeshing
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Explores remeshing in geometric computing, emphasizing equal edge lengths and valence close to 6.
Introduction to Conic Sections in Space
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Covers the introduction to conic sections in space, focusing on ellipses and their properties.
Analytical Geometry: Proof of Exercise 5
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Focuses on the proof of Exercise 5 in Analytical Geometry, emphasizing trigonometry concepts in solving geometric problems.
Analytical Geometry: Triangle Properties
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Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.
Analytical Geometry: Bisectors and Areas
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Explores the properties of bisectors and areas in Analytical Geometry.
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