Geometric Means: Ancient Theories and Modern Applications

In course

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Description

This lecture explores the ancient theories of Archytas on geometric means, including arithmetic, geometric, and harmonic means, and their applications in modern geometry. It delves into the construction of transformations, properties left invariant, and the importance of proportions in various geometrical constructions.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_zq3xts4u

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Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry, Projective geometry

Algebra: Equations

Statistics

Statistical inference: Mathematical statistics

Politics

Political science: Comparative politics

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