Affine Spaces
Affine spaces can be defined in an analogous manner to the construction of affine planes from projective planes. It is also possible to provide a system of axioms for the higher dimensional affine spaces which does not refer to the corresponding projective space.
Read more about this topic: Affine Plane (incidence Geometry)
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“Every true man is a cause, a country, and an age; requires infinite spaces and numbers and time fully to accomplish his design;—and posterity seem to follow his steps as a train of clients.”
—Ralph Waldo Emerson (1803–1882)