13. Other Geometries
There are other branches of geometry, including the following four, which are briefly described here.
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
For example, it is as follows: ax + by + c = 0. A half-plane can therefore be defined by: ax...
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Other Geometries