Lecture

Optimization Problems

Related lectures (26)

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.

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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.

Residue Theorem: Calculating Integrals on Closed Curves

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Elementary Operations in Geometry

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

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Thales Theorem

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

Angles: Degrees and Triangle Sum

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

Trigonometric Functions: Right Triangle

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

Analytical Geometry: Bisectors and Areas

Explores the properties of bisectors and areas in Analytical Geometry.

Distance Axioms

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Triangle Geometry: Special Lines

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Topology of Riemann Surfaces

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