@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr:-K7PMQKTR-P
  skos:prefLabel "similitude"@fr, "similarity"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-TJ9ZMMDF-W
  skos:prefLabel "géométrie"@fr, "geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-SDZH6QJN-Z .

psr:-SDZH6QJN-Z
  a skos:Concept ;
  skos:narrower psr:-J86R5RZW-4, psr:-GVRRC3H2-1, psr:-VBC5B5ZL-J, psr:-XF9MK062-0, psr:-QHG3C3KL-Q, psr:-BPP6Z9GS-X, psr:-XWWVH3PC-T, psr:-GBVB32LQ-1, psr:-SH88D7XV-J, psr:-K7PMQKTR-P ;
  skos:definition """In mathematics, a <b>geometric transformation</b> is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning. More specifically, it is a function whose domain and range are sets of points — most often both <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\mathbb {R} ^{2}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi mathvariant="double-struck">R</mi>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{2}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e150115ab9f63023215109595b76686a1ff890fd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:2.732ex; height:2.676ex;" alt="\\\\mathbb {R} ^{2}"></span> or both <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\mathbb {R} ^{3}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi mathvariant="double-struck">R</mi>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} ^{3}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f936ddf584f8f3dd2a0ed08917001b7a404c10b5" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:2.732ex; height:2.676ex;" alt="\\\\mathbb {R} ^{3}"></span> — such that the function is bijective so that its inverse exists. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Geometric_transformation">https://en.wikipedia.org/wiki/Geometric_transformation</a>)"""@en, """Une transformation géométrique est une bijection d'une partie d'un ensemble géométrique dans lui-même. L'étude de la géométrie est en grande partie l'étude de ces transformations. Les transformations géométriques peuvent être classées selon la dimension de l'ensemble géométrique : principalement les transformations planes et les transformations dans l'espace. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Transformation_g%C3%A9om%C3%A9trique">https://fr.wikipedia.org/wiki/Transformation_g%C3%A9om%C3%A9trique</a>)"""@fr ;
  skos:broader psr:-TJ9ZMMDF-W ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Transformation_g%C3%A9om%C3%A9trique>, <https://en.wikipedia.org/wiki/Geometric_transformation> ;
  skos:prefLabel "transformation géométrique"@fr, "geometric transformation"@en ;
  skos:inScheme psr: .

psr:-J86R5RZW-4
  skos:prefLabel "transformation de Möbius"@fr, "Möbius transformation"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-XWWVH3PC-T
  skos:prefLabel "conformal map"@en, "transformation conforme"@fr ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr: a skos:ConceptScheme .
psr:-BPP6Z9GS-X
  skos:prefLabel "déplacement"@fr, "displacement"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-VBC5B5ZL-J
  skos:prefLabel "application projective"@fr, "homography"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-QHG3C3KL-Q
  skos:prefLabel "geometric symmetry"@en, "symétrie géométrique"@fr ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-SH88D7XV-J
  skos:prefLabel "transformation de Bäcklund"@fr, "Bäcklund transform"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-GBVB32LQ-1
  skos:prefLabel "application affine"@fr, "affine transformation"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-XF9MK062-0
  skos:prefLabel "isometry"@en, "isométrie"@fr ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .

psr:-GVRRC3H2-1
  skos:prefLabel "autosimilarité"@fr, "self-similarity"@en ;
  a skos:Concept ;
  skos:broader psr:-SDZH6QJN-Z .