Lecture

Inversion and Circle Orthogonality

In course

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Description

This lecture covers the concept of inversion in geometry, focusing on the relationship between points on a disk and their inverses. The instructor explains how to find the inverse of a point with respect to a circle, demonstrating the construction process and the properties of this geometric transformation. The lecture also delves into the power of a point with respect to a circle and how it can be used to construct orthogonal circles, leading to a non-Euclidean geometry model with unique properties.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_i6ohevrm

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Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry

Algebra: Linear algebra

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