point reflection (Q7795): Difference between revisions

Latest revision as of 21:51, 30 April 2023

type of isometry of Euclidean space

Language	Label	Description	Also known as
English	point reflection	type of isometry of Euclidean space	point symmetry Point symmetry, point reflection Central inversion

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\mathrm {Ref} _{\mathbf {p} }(\mathbf {a} )=2\mathbf {p} -\mathbf {a}

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@@ Property / subclass of @@
+Euclidean plane isometry
@@ Property / subclass of: Euclidean plane isometry / rank @@
+Normal rank
@@ Property / subclass of @@
+symmetry
@@ Property / subclass of: symmetry / rank @@
+Normal rank
@@ Property / subclass of @@
+rotation
@@ Property / subclass of: rotation / rank @@
+Normal rank
@@ Property / part of @@
+reflection symmetry
@@ Property / part of: reflection symmetry / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\mathrm {Ref} _{\mathbf {p} }(\mathbf {a} )=2\mathbf {p} -\mathbf {a}$ 
\mathrm{Ref}_\mathbf{p}(\mathbf{a}) = 2\mathbf{p} - \mathbf{a}
+Normal rank