Category:Isometries (Euclidean Geometry)
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This category contains results about Isometries (Euclidean Geometry).
Definitions specific to this category can be found in Definitions/Isometries (Euclidean Geometry).
Let $\EE$ be a real Euclidean space.
Let $\phi: \EE \to \EE$ be a bijection such that:
- $\forall P, Q \in \EE: PQ = P'Q'$
where:
- $P$ and $Q$ are arbitrary points in $\EE$
- $P'$ and $Q'$ are the images of $P$ and $Q$ respectively
- $PQ$ and $P'Q'$ denote the lengths of the straight line segments $PQ$ and $P'Q'$ respectively.
Then $\phi$ is an isometry.
Pages in category "Isometries (Euclidean Geometry)"
The following 7 pages are in this category, out of 7 total.