@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-VK19V32F-5
  skos:prefLabel "oval"@en, "ovale"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-BVKTNWPS-4
  skos:prefLabel "cardioid"@en, "cardioïde"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-MLLQ2JV6-R
  skos:prefLabel "développée"@fr, "evolute"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-NGLSXHCZ-K
  skos:prefLabel "cycloid"@en, "cycloïde"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr: a skos:ConceptScheme .
psr:-Z6DZ5M0C-0
  skos:prefLabel "line"@en, "droite"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-CN16CLPB-L
  skos:prefLabel "cubic plane curve"@en, "courbe cubique"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-QQZZ0MTL-D
  skos:prefLabel "strophoïde"@fr, "strophoid"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-T8SKVQGZ-R
  skos:prefLabel "conchoid"@en, "conchoïde"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-RSFR3Q9H-Q
  skos:prefLabel "rosace"@fr, "rose"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-MP25S0Z4-Q
  skos:prefLabel "courbe quartique"@fr, "quartic plane curve"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-NGVC7V3R-V
  skos:prefLabel "brachistochrone curve"@en, "courbe brachistochrone"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-MQ9VVPRB-1
  skos:prefLabel "courbe de largeur constante"@fr, "curve of constant width"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-T8G7FCDP-G
  skos:prefLabel "four-vertex theorem"@en, "théorème des quatre sommets"@fr ;
  a skos:Concept ;
  skos:related psr:-WFQQ48RG-8 .

psr:-F83W7JC6-D
  skos:prefLabel "conique"@fr, "conic section"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-PM6MFFVZ-N
  skos:prefLabel "lemniscate"@en, "lemniscate"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-WFQQ48RG-8
  skos:narrower psr:-VK19V32F-5, psr:-B827BGSZ-S, psr:-DSXFBSBG-2, psr:-CN16CLPB-L, psr:-BVKTNWPS-4, psr:-XMS86XF9-P, psr:-QQZZ0MTL-D, psr:-T94KT58P-Q, psr:-NGVC7V3R-V, psr:-NGLSXHCZ-K, psr:-MQ9VVPRB-1, psr:-PM6MFFVZ-N, psr:-W1BW3LM4-5, psr:-BP0VLKCT-T, psr:-Z6DZ5M0C-0, psr:-S14CLWJ6-G, psr:-MLLQ2JV6-R, psr:-WRSBW6QW-6, psr:-NMVWJK62-4, psr:-RW8QHH91-5, psr:-MP25S0Z4-Q, psr:-RSFR3Q9H-Q, psr:-L0HV0DT4-V, psr:-F83W7JC6-D, psr:-T8SKVQGZ-R ;
  skos:prefLabel "courbe plane"@fr, "plane curve"@en ;
  skos:related psr:-T8G7FCDP-G ;
  skos:definition """In mathematics, a plane curve is a curve in a plane that may be either a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. Plane curves also include the Jordan curves (curves that enclose a region of the plane but need not be smooth) and the graphs of continuous functions. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Plane_curve">https://en.wikipedia.org/wiki/Plane_curve</a>)"""@en, """En mathématiques, plus précisément en géométrie, une <b>courbe plane</b> est une courbe qui est entièrement contenue dans un (unique) plan, et qui est identifiable à une fonction continue&nbsp;:
<br/>
<br/><dl><dd><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 \\\\alpha :I\\\\longrightarrow \\\\mathbb {R} ^{2}~}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>α<!-- α --></mi>
<br/>        <mo>:</mo>
<br/>        <mi>I</mi>
<br/>        <mo stretchy="false">⟶<!-- ⟶ --></mo>
<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/>        <mtext>&nbsp;</mtext>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\alpha :I\\\\longrightarrow \\\\mathbb {R} ^{2}~}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7650f8431cc94eca2a6a9d209804a0ae861b6a47" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:13.005ex; height:2.676ex;" alt="{\\\\displaystyle \\\\alpha :I\\\\longrightarrow \\\\mathbb {R} ^{2}~}"></span></dd></dl>
<br/>où <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 I}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>I</mi>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle I}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="I"></span> est un intervalle de l'ensemble <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} }">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="double-struck">R</mi>
<br/>        </mrow>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {R} }</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/786849c765da7a84dbc3cce43e96aad58a5868dc" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.678ex; height:2.176ex;" alt="\\\\mathbb {R} "></span> des nombres réels.
<br/>L'image d'une courbe est aussi appelée <i>support</i> de la courbe. Parfois, on utilise aussi l'expression <b>courbe</b> pour indiquer le support d'une courbe. Une courbe sur un espace euclidien de dimension supérieure à 2 est dite <i>plane</i> si son support est contenu dans un plan lui-même contenu dans l'espace euclidien dans lequel elle est définie.
<br/>Une courbe plane est dite <b>simple</b> si elle ne se recoupe pas, autrement dit, si
<br/>
<br/><dl><dd><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 \\orall \\\\ (t_{1},t_{2})\\\\in I^{2},t_{1}\\
eq t_{2}\\\\Longrightarrow \\\\alpha (t_{1})\\
eq \\\\alpha (t_{2})}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi mathvariant="normal">∀<!-- ∀ --></mi>
<br/>        <mtext>&nbsp;</mtext>
<br/>        <mo stretchy="false">(</mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>∈<!-- ∈ --></mo>
<br/>        <msup>
<br/>          <mi>I</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>≠<!-- ≠ --></mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">⟹<!-- ⟹ --></mo>
<br/>        <mi>α<!-- α --></mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>≠<!-- ≠ --></mo>
<br/>        <mi>α<!-- α --></mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <msub>
<br/>          <mi>t</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">)</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\orall \\\\ (t_{1},t_{2})\\\\in I^{2},t_{1}\\
eq t_{2}\\\\Longrightarrow \\\\alpha (t_{1})\\
eq \\\\alpha (t_{2})}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/224b7499f6f949b97d1516124570c50968c0952b" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:40.111ex; height:3.176ex;" alt="{\\\\displaystyle \\orall \\\\ (t_{1},t_{2})\\\\in I^{2},t_{1}\\
eq t_{2}\\\\Longrightarrow \\\\alpha (t_{1})\\
eq \\\\alpha (t_{2})}"></span>.</dd> 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Courbe_plane">https://fr.wikipedia.org/wiki/Courbe_plane</a>)"""@fr ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Courbe_plane>, <https://en.wikipedia.org/wiki/Plane_curve> ;
  skos:inScheme psr: ;
  skos:broader psr:-GKWK9C3G-P ;
  dc:modified "2023-07-19"^^xsd:date ;
  a skos:Concept .

psr:-DSXFBSBG-2
  skos:prefLabel "exponential function"@en, "fonction exponentielle"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-WRSBW6QW-6
  skos:prefLabel "curve of pursuit"@en, "courbe du chien"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-GKWK9C3G-P
  skos:prefLabel "géométrie euclidienne"@fr, "Euclidean geometry"@en ;
  a skos:Concept ;
  skos:narrower psr:-WFQQ48RG-8 .

psr:-RW8QHH91-5
  skos:prefLabel "folium of Descartes"@en, "folium de Descartes"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-XMS86XF9-P
  skos:prefLabel "cissoïde"@fr, "cissoid"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-L0HV0DT4-V
  skos:prefLabel "astroid"@en, "astroïde"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-BP0VLKCT-T
  skos:prefLabel "envelope"@en, "enveloppe"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-T94KT58P-Q
  skos:prefLabel "spirale"@fr, "spiral"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-B827BGSZ-S
  skos:prefLabel "courbe de Lamé"@fr, "Lamé curve"@en ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-NMVWJK62-4
  skos:prefLabel "involute"@en, "courbe développante"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-S14CLWJ6-G
  skos:prefLabel "trident curve"@en, "trident de Newton"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .

psr:-W1BW3LM4-5
  skos:prefLabel "catenary"@en, "chaînette"@fr ;
  a skos:Concept ;
  skos:broader psr:-WFQQ48RG-8 .