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Related lectures (26)
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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.
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.
Pythagorean Theorem
Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Geometry of the Triangle
Covers the geometry of the triangle, including inequalities, heights, and centers.
Triangle Resolution: Trigonometry Basics
Covers the resolution of triangles using trigonometric functions to find missing sides and angles.
Approximation of Ellipses by Ovals
Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.
Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Geometrical Aspects of Differential Operators
Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.