Other Geometries
Geometry of Euclidean Sets II: Analytical, Random, and Hypertopological Aspects
Article REF: AF223 V1
 Other Geometries
Geometry of Euclidean Sets II: Analytical, Random, and Hypertopological Aspects

Author : Jean-Charles PINOLI

Publication date: June 10, 2026 | Lire en français

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13.  Other Geometries

There are other branches of geometry, including the following four, which are briefly described here.

13.1  Analytic Geometry

Analytic geometry, also known as Cartesian geometry, approaches Euclidean geometry through the use of a coordinate system in which Euclidean sets are described by equations or inequalities using that coordinate system.

Example (affine line and affine half-plane):

the Cartesian equation of an affine line in the Euclidean plane 22 For example, it is as follows: ax + by + c = 0. A half-plane can therefore be defined by: ax...

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