@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:-H38FBX9T-8
  skos:prefLabel "midpoint"@en, "milieu d'un segment"@fr ;
  a skos:Concept ;
  skos:broader psr:-BPCD054Q-7 .

psr:-KR0MG195-L
  skos:prefLabel "cevian"@en, "cévienne"@fr ;
  a skos:Concept ;
  skos:related psr:-BPCD054Q-7 .

psr:-BPCD054Q-7
  skos:inScheme psr: ;
  skos:broader psr:-DBB2DBQT-4, psr:-Z6DZ5M0C-0 ;
  skos:narrower psr:-H38FBX9T-8, psr:-GLFVBKM0-X ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Segment_(math%C3%A9matiques)>, <https://en.wikipedia.org/wiki/Line_segment> ;
  skos:related psr:-KR0MG195-L ;
  dc:modified "2023-07-28"^^xsd:date ;
  skos:prefLabel "segment"@fr, "line segment"@en ;
  skos:altLabel "segment de droite"@fr ;
  skos:definition """En géométrie, un <b>segment de droite</b> (souvent abrégé en « <b>segment</b> ») est une portion de droite délimitée par deux points, appelés <i>extrémités</i> du segment. Un segment reliant deux points <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 \\\\mathrm {A} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">A</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathrm {A} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff6366939c4ebbd4e8494d0dedc54c4b8dd7135a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\\\\displaystyle \\\\mathrm {A} }"></span> et <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 \\\\mathrm {B} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">B</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathrm {B} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93003d072991ba424a73ed1e081afe55c124b6ce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.646ex; height:2.176ex;" alt="{\\\\mathrm  {B}}"></span> est noté <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 [\\\\mathrm {A} ,\\\\mathrm {B} ]}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mo stretchy="false">[</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">A</mi>
         </mrow>
         <mo>,</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">B</mi>
         </mrow>
         <mo stretchy="false">]</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle [\\\\mathrm {A} ,\\\\mathrm {B} ]}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7ab43329d3bde7f1184664065ee7909a2850963" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.716ex; height:2.843ex;" alt="{\\\\displaystyle [\\\\mathrm {A} ,\\\\mathrm {B} ]}"></span> ou <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 [\\\\mathrm {AB} ]}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mo stretchy="false">[</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">A</mi>
         <mi mathvariant="normal">B</mi>
         </mrow>
         <mo stretchy="false">]</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle [\\\\mathrm {AB} ]}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87c2d7a1e50345f3da45a9efa889bcfc0d3abc66" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.682ex; height:2.843ex;" alt="{\\\\displaystyle [\\\\mathrm {AB} ]}"></span> et représente la partie de la droite <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 (\\\\mathrm {AB} )}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mo stretchy="false">(</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">A</mi>
         <mi mathvariant="normal">B</mi>
         </mrow>
         <mo stretchy="false">)</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle (\\\\mathrm {AB} )}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6bedd8ab6d5e7fad2529b1a6afe54e23d15d0933" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.198ex; height:2.843ex;" alt="{\\\\displaystyle (\\\\mathrm {AB} )}"></span> qui se situe « entre » les points <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 \\\\mathrm {A} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">A</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathrm {A} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff6366939c4ebbd4e8494d0dedc54c4b8dd7135a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\\\\displaystyle \\\\mathrm {A} }"></span> et <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 \\\\mathrm {B} }">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mrow class="MJX-TeXAtom-ORD">
         <mi mathvariant="normal">B</mi>
         </mrow>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathrm {B} }</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/93003d072991ba424a73ed1e081afe55c124b6ce" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.646ex; height:2.176ex;" alt="{\\\\mathrm  {B}}"></span>. Intuitivement, un segment correspond à un fil tendu entre deux points, en négligeant l’épaisseur du fil et la déformation due à son poids.
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Segment_(math%C3%A9matiques)">https://fr.wikipedia.org/wiki/Segment_(math%C3%A9matiques)</a>)"""@fr, """In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry, a line segment is often denoted using a line above the symbols for the two endpoints (such as <span class="texhtml mvar" style="font-style:italic;"><span style="text-decoration:overline;">AB</span></span>). 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Line_segment">https://en.wikipedia.org/wiki/Line_segment</a>)"""@en ;
  a skos:Concept .

psr:-GLFVBKM0-X
  skos:prefLabel "chord"@en, "corde"@fr ;
  a skos:Concept ;
  skos:broader psr:-BPCD054Q-7 .

psr: a skos:ConceptScheme .
psr:-DBB2DBQT-4
  skos:prefLabel "polytope régulier"@fr, "regular polytope"@en ;
  a skos:Concept ;
  skos:narrower psr:-BPCD054Q-7 .

psr:-Z6DZ5M0C-0
  skos:prefLabel "line"@en, "droite"@fr ;
  a skos:Concept ;
  skos:narrower psr:-BPCD054Q-7 .

