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Euclidean planes in three-dimensional space
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In Euclidean geometry, a plane is a flat two-dimensional surface that extends indefinitely.
Euclidean planes often arise as subspaces of three-dimensional space .
A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin.
While a pair of real numbers
suffices to describe points on a plane, the relationship with out-of-plane points requires special consideration for their embedding in the ambient space
.
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