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class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Carré</span></h1> <div class="tagline"> polygone régulier à quatre côtés </div> </div> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"><a role="button" href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#p-lang" data-mw="interface" data-event-name="menu.languages" title="Langue" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet language-selector"> <span class="minerva-icon minerva-icon--language"></span> <span>Langue</span> </a></li> <li id="page-actions-watch" class="page-actions-menu__list-item"><a role="button" id="ca-watch" 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<div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"> <script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <div class="bandeau-container metadata homonymie hatnote"> <div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"> <span class="noviewer" typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aide:Homonymie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aide:Homonymie"><img alt="Page d’aide sur l’homonymie" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/20px-Logo_disambig.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/30px-Logo_disambig.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/40px-Logo_disambig.svg.png 2x" data-file-width="512" data-file-height="375"></a></span> </div> <div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Pour les articles homonymes, voir <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_(homonymie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-disambig" title="Carré (homonymie)">Carré (homonymie)</a>.</p> </div> </div> <div class="bandeau-container metadata homonymie hatnote"> <div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"> <span class="noviewer" typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aide:Homonymie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aide:Homonymie"><img alt="Page d’aide sur l’homonymie" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/44/Logo_disambig-homophone.svg/20px-Logo_disambig-homophone.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/4/44/Logo_disambig-homophone.svg/30px-Logo_disambig-homophone.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/4/44/Logo_disambig-homophone.svg/40px-Logo_disambig-homophone.svg.png 2x" data-file-width="512" data-file-height="375"></a></span> </div> <div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Pour l’article ayant un titre homophone, voir <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Khar%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Kharé">Kharé</a>.</p> </div> </div> <p class="mw-empty-elt"></p> <p>En <a href="https://fr-m-wikipedia-org.translate.goog/wiki/G%C3%A9om%C3%A9trie_euclidienne?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Géométrie euclidienne">géométrie euclidienne</a>, un <b>carré</b> est un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrilat%C3%A8re?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quadrilatère">quadrilatère</a> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Polygone_convexe?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Polygone convexe">convexe</a> dont les quatre côtés sont de même <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Longueur?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Longueur">longueur</a> et les quatre angles sont droits. C’est donc un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Polygone_r%C3%A9gulier?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Polygone régulier">polygone régulier</a>, qui est à la fois un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Losange?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Losange">losange</a>, un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Rectangle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Rectangle">rectangle</a>, et par conséquent aussi un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Parall%C3%A9logramme?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Parallélogramme">parallélogramme</a> particulier.</p> <table class="infobox_v2 infobox infobox--frwiki noarchive"> <tbody> <tr> <td colspan="2" class="entete defaut" style="background-color:#E7DCC3;color:black;">Carré</td> </tr> <tr> <td colspan="2" style="text-align:center; line-height: 1.5em;"><span typeof="mw:File/Frameless"><a href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Fichier:Regular_polygon_4_annotated.svg&lang=fr&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img alt="Image illustrative de l’article Carré" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Regular_polygon_4_annotated.svg/langfr-280px-Regular_polygon_4_annotated.svg.png" decoding="async" width="280" height="280" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Regular_polygon_4_annotated.svg/langfr-420px-Regular_polygon_4_annotated.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Regular_polygon_4_annotated.svg/langfr-560px-Regular_polygon_4_annotated.svg.png 2x" data-file-width="515" data-file-height="515"></a></span></td> </tr> <tr> <td colspan="2"> <hr style="height:2px; background-color:#AAAAAA;"></td> </tr> <tr> <th scope="row">Type</th> <td><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Polygone_r%C3%A9gulier?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Polygone régulier">Polygone régulier</a></td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Ar%C3%AAte_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Arête (géométrie)">Arêtes</a></th> <td>4</td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sommet_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sommet (géométrie)">Sommets</a></th> <td>4</td> </tr> <tr> <td colspan="2"> <hr style="height:2px; background-color:#AAAAAA;"></td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Symbole_de_Schl%C3%A4fli?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Symbole de Schläfli">Symbole de Schläfli</a></th> <td>{4}</td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Diagramme_de_Coxeter-Dynkin?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Diagramme de Coxeter-Dynkin">Diagramme de Coxeter-Dynkin</a></th> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:CDel_node_1.png?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23"></a></span><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:CDel_4.png?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="7" height="27" class="mw-file-element" data-file-width="6" data-file-height="23"></a></span><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:CDel_node.png?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23"></a></span></td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Groupe_de_sym%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Groupe de symétrie">Groupe de symétrie</a></th> <td><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Groupe_di%C3%A9dral?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Groupe diédral">Groupe diédral</a> D<sub>8</sub></td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Angle_interne?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Angle interne">Angle interne</a></th> <td>90°</td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aire_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aire (géométrie)">Aire</a></th> <td><span class="texhtml"><span class="texhtml mvar" style="font-style:italic;">a</span>²</span></td> </tr> <tr> <th scope="row"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/P%C3%A9rim%C3%A8tre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Périmètre">Périmètre</a></th> <td><span class="texhtml">4<span class="texhtml mvar" style="font-style:italic;">a</span></span></td> </tr> <tr> <th scope="row">Propriétés</th> <td><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Polygone_constructible?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Polygone constructible">Constructible</a></td> </tr> <tr> <td class="navigation-only" colspan="2" style="border-top: 2px #AAAAAA solid; font-size: 80%; background:inherit; text-align: right;"><span class="plainlinks" style="float:left;"><a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/w/index.php?title%3DCarr%25C3%25A9%26action%3Dedit%26section%3D0"><span class="infodoc">modifier</span></a></span> <span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Mod%C3%A8le:Infobox_Polytope?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Consultez la documentation du modèle"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512"></a></span></td> </tr> </tbody> </table> <p>Dans le plan, un carré est <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Invariant?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Invariant">invariant</a> par quatre <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sym%C3%A9trie_axiale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Symétrie axiale">symétries axiales</a>, par deux <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Rotation_plane?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Rotation plane">rotations</a> d’angle droit et par une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sym%C3%A9trie_centrale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Symétrie centrale">symétrie centrale</a> par rapport à l’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Intersection_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Intersection (mathématiques)">intersection</a> de ses <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Diagonale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Diagonale">diagonales</a>.</p> <p>Les premières représentations du carré datent de la <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Pr%C3%A9histoire?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Préhistoire">préhistoire</a>. Le carré est, avec le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Cercle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Cercle">cercle</a>, l'une des figures géométriques remarquables les plus étudiées depuis l'<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Antiquit%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Antiquité">Antiquité</a>, le problème de la <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrature_du_cercle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quadrature du cercle">quadrature du cercle</a> ayant tenu en haleine de nombreux mathématiciens pendant deux millénaires.</p> <p>La figure du carré illustre l’opération du <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_(alg%C3%A8bre)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré (algèbre)">carré</a> en <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Alg%C3%A8bre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Algèbre">algèbre</a>, consistant à <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Multiplication?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Multiplication">multiplier</a> un élément par lui-même =(c×c). En particulier, l’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aire_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aire (géométrie)">aire</a> d’un carré est égale au carré de la longueur d’un côté.</p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"> <input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"> <div class="toctitle" lang="fr" dir="ltr"> <h2 id="mw-toc-heading">Sommaire</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Pr%C3%A9sentation"><span class="tocnumber">1</span> <span class="toctext">Présentation</span></a> <ul> <li class="toclevel-2 tocsection-2"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Composition"><span class="tocnumber">1.1</span> <span class="toctext">Composition</span></a></li> <li class="toclevel-2 tocsection-3"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Mesures"><span class="tocnumber">1.2</span> <span class="toctext">Mesures</span></a></li> <li class="toclevel-2 tocsection-4"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Sym%C3%A9tries"><span class="tocnumber">1.3</span> <span class="toctext">Symétries</span></a></li> </ul></li> <li class="toclevel-1 tocsection-5"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Construction"><span class="tocnumber">2</span> <span class="toctext">Construction</span></a> <ul> <li class="toclevel-2 tocsection-6"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Construction_au_compas_seul"><span class="tocnumber">2.1</span> <span class="toctext">Construction au compas seul</span></a></li> <li class="toclevel-2 tocsection-7"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Construction_%C3%A0_la_r%C3%A8gle_et_au_compas"><span class="tocnumber">2.2</span> <span class="toctext">Construction à la règle et au compas</span></a></li> </ul></li> <li class="toclevel-1 tocsection-8"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Probl%C3%A8mes_associ%C3%A9s"><span class="tocnumber">3</span> <span class="toctext">Problèmes associés</span></a></li> <li class="toclevel-1 tocsection-9"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Histoire"><span class="tocnumber">4</span> <span class="toctext">Histoire</span></a></li> <li class="toclevel-1 tocsection-10"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Informatique"><span class="tocnumber">5</span> <span class="toctext">Informatique</span></a> <ul> <li class="toclevel-2 tocsection-11"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Unicode"><span class="tocnumber">5.1</span> <span class="toctext">Unicode</span></a></li> <li class="toclevel-2 tocsection-12"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#LaTeX"><span class="tocnumber">5.2</span> <span class="toctext">LaTeX</span></a></li> </ul></li> <li class="toclevel-1 tocsection-13"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Notes_et_r%C3%A9f%C3%A9rences"><span class="tocnumber">6</span> <span class="toctext">Notes et références</span></a></li> <li class="toclevel-1 tocsection-14"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Voir_aussi"><span class="tocnumber">7</span> <span class="toctext">Voir aussi</span></a> <ul> <li class="toclevel-2 tocsection-15"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Articles_connexes"><span class="tocnumber">7.1</span> <span class="toctext">Articles connexes</span></a></li> <li class="toclevel-2 tocsection-16"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Lien_externe"><span class="tocnumber">7.2</span> <span class="toctext">Lien externe</span></a></li> <li class="toclevel-2 tocsection-17"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Bibliographie"><span class="tocnumber">7.3</span> <span class="toctext">Bibliographie</span></a></li> </ul></li> </ul> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Présentation"><span id="Pr.C3.A9sentation"></span>Présentation</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Présentation" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <div class="mw-heading mw-heading3"> <h3 id="Composition">Composition</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Composition" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Carre.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/220px-Carre.svg.png" decoding="async" width="220" height="222" class="mw-file-element" data-file-width="334" data-file-height="337"> </noscript><span class="lazy-image-placeholder" style="width: 220px;height: 222px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/220px-Carre.svg.png" data-width="220" data-height="222" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/330px-Carre.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/440px-Carre.svg.png 2x" data-class="mw-file-element"> </span></a> <figcaption> Un carré noté ABCD avec ses diagonales. </figcaption> </figure> <p>Un carré est une figure plane composée de quatre <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Point_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Point (mathématiques)">points</a> appelés <i>sommets</i> et de quatre <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Segment?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-disambig" title="Segment">segments</a> de même longueur, appelés <i>côtés</i>, reliant les sommets dans un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Ordre_cyclique?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ordre cyclique">ordre cyclique</a> et formant successivement des <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Angle_droit?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Angle droit">angles droits</a> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Angle_orient%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Angle orienté">orientés</a> dans le même sens. Deux sommets reliés par un côté sont dits <i>consécutifs</i>, sinon ils sont <i>opposés</i>.</p> <p>Les côtés constituent le <i>bord</i> d’une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Surface_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Surface (mathématiques)">surface</a> du plan appelée <i>carré plein</i> et qui est l’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Enveloppe_convexe?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Enveloppe convexe">enveloppe convexe</a> des sommets. Le carré plein <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Compl%C3%A9mentaire_(th%C3%A9orie_des_ensembles)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Complémentaire (théorie des ensembles)">privé</a> de son bord est l’<i>intérieur</i> du carré.</p> <p>Si les sommets du carrés sont nommés <span class="texhtml mvar" style="font-style:italic;">A</span>, <span class="texhtml mvar" style="font-style:italic;">B</span>, <span class="texhtml mvar" style="font-style:italic;">C</span> et <span class="texhtml mvar" style="font-style:italic;">D</span> dans cet ordre, le carré 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 ABCD}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> A </mi> <mi> B </mi> <mi> C </mi> <mi> D </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle ABCD} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/412b7d8df4db6ca8093d971320c405598c49c339" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.198ex; height:2.176ex;" alt="{\displaystyle ABCD}"> </noscript><span class="lazy-image-placeholder" style="width: 7.198ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/412b7d8df4db6ca8093d971320c405598c49c339" data-alt="{\displaystyle ABCD}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> et les caractéristiques ci-dessus s’écrivent <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 AB=BC=CD=DA}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> A </mi> <mi> B </mi> <mo> = </mo> <mi> B </mi> <mi> C </mi> <mo> = </mo> <mi> C </mi> <mi> D </mi> <mo> = </mo> <mi> D </mi> <mi> A </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle AB=BC=CD=DA} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/807f64e82aa31fd3b485b331b48c28989fbd0999" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:23.691ex; height:2.176ex;" alt="{\displaystyle AB=BC=CD=DA}"> </noscript><span class="lazy-image-placeholder" style="width: 23.691ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/807f64e82aa31fd3b485b331b48c28989fbd0999" data-alt="{\displaystyle AB=BC=CD=DA}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></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 {\widehat {ABC}}={\widehat {BCD}}={\widehat {CDA}}={\widehat {DAB}}=90^{\circ }}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi> A </mi> <mi> B </mi> <mi> C </mi> </mrow> <mo> ^ </mo> </mover> </mrow> </mrow> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi> B </mi> <mi> C </mi> <mi> D </mi> </mrow> <mo> ^ </mo> </mover> </mrow> </mrow> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi> C </mi> <mi> D </mi> <mi> A </mi> </mrow> <mo> ^ </mo> </mover> </mrow> </mrow> <mo> = </mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi> D </mi> <mi> A </mi> <mi> B </mi> </mrow> <mo> ^ </mo> </mover> </mrow> </mrow> <mo> = </mo> <msup> <mn> 90 </mn> <mrow class="MJX-TeXAtom-ORD"> <mo> ∘ </mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\widehat {ABC}}={\widehat {BCD}}={\widehat {CDA}}={\widehat {DAB}}=90^{\circ }} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d103409fbdd546d9c6accc845e549d8e7fd39a6a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:37.366ex; height:3.176ex;" alt="{\displaystyle {\widehat {ABC}}={\widehat {BCD}}={\widehat {CDA}}={\widehat {DAB}}=90^{\circ }}"> </noscript><span class="lazy-image-placeholder" style="width: 37.366ex;height: 3.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d103409fbdd546d9c6accc845e549d8e7fd39a6a" data-alt="{\displaystyle {\widehat {ABC}}={\widehat {BCD}}={\widehat {CDA}}={\widehat {DAB}}=90^{\circ }}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>.</p> <p>Les deux segments reliant les sommets opposés sont les <i>diagonales</i> du carré, qui sont <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Perpendicularit%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Perpendicularité">perpendiculaires</a> et de même longueur.</p> <p>Les deux diagonales se croisent en leur <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Milieu_d%27un_segment?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Milieu d'un segment">milieu</a> qui est appelé <i>centre</i> du carré. Ce point est à la fois l’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Isobarycentre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Isobarycentre">isobarycentre</a> des sommets et le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Centre_de_masse_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Centre de masse (mathématiques)">centre de masse</a> du carré plein.</p> <p>Le centre du carré est aussi le centre d’un <i>cercle circonscrit</i> passant par les quatre sommets, de <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Diam%C3%A8tre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Diamètre">diamètre</a> égal à la longueur des diagonales. Il est également le centre d’un <i>cercle inscrit</i> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Tangente_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Tangente (géométrie)">tangent</a> aux quatre côtés en leur milieu respectif, et de diamètre égal au côté du carré.</p> <div class="mw-heading mw-heading3"> <h3 id="Mesures">Mesures</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Mesures" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>En notant <span class="texhtml mvar" style="font-style:italic;">c</span> la longueur d’un côté, le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/P%C3%A9rim%C3%A8tre?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Périmètre">périmètre</a> du carré s’écrit <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 p=4c}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> p </mi> <mo> = </mo> <mn> 4 </mn> <mi> c </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle p=4c} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c5b03113be8cdd40938a912427e2a17d2a5b0b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:6.527ex; height:2.509ex;" alt="{\displaystyle p=4c}"> </noscript><span class="lazy-image-placeholder" style="width: 6.527ex;height: 2.509ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c5b03113be8cdd40938a912427e2a17d2a5b0b" data-alt="{\displaystyle p=4c}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> et son <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Aire_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Aire (géométrie)">aire</a> vaut <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 {\mathcal {A}}=c^{2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script"> A </mi> </mrow> </mrow> <mo> = </mo> <msup> <mi> c </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle {\mathcal {A}}=c^{2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a7879908be858e002a1a420fe5f907a3ef16a0c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.063ex; height:2.676ex;" alt="{\displaystyle {\mathcal {A}}=c^{2}}"> </noscript><span class="lazy-image-placeholder" style="width: 7.063ex;height: 2.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a7879908be858e002a1a420fe5f907a3ef16a0c" data-alt="{\displaystyle {\mathcal {A}}=c^{2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>. Chaque diagonale a pour longueur <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 d=c{\sqrt {2}}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> d </mi> <mo> = </mo> <mi> c </mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn> 2 </mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle d=c{\sqrt {2}}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24961432ea459466e7bb32307a55786c6bfa6044" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.42ex; height:3.009ex;" alt="{\displaystyle d=c{\sqrt {2}}}"> </noscript><span class="lazy-image-placeholder" style="width: 8.42ex;height: 3.009ex;vertical-align: -0.671ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/24961432ea459466e7bb32307a55786c6bfa6044" data-alt="{\displaystyle d=c{\sqrt {2}}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span>, comme le montre l’application du <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Th%C3%A9or%C3%A8me_de_Pythagore?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Théorème de Pythagore">théorème de Pythagore</a> dans un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Triangle_isoc%C3%A8le_rectangle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Triangle isocèle rectangle">triangle isocèle rectangle</a> formé par une diagonale et deux côtés du carré. Ce rapport s’illustre aussi par le fait qu’un grand carré, admettant pour côté la diagonale du carré initial, se décompose en quatre triangles isocèles rectangles avec lesquels on peut reconstituer deux carrés de même taille que le carré initial.</p> <p>Le carré est, parmi les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrilat%C3%A8re?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quadrilatère">quadrilatères</a> de même périmètre, celui qui possède la plus grande surface. Cette figure est la réponse à la question d'<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Isop%C3%A9rim%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Isopérimétrie">isopérimétrie</a> dans les quadrilatères.</p> <div class="mw-heading mw-heading3"> <h3 id="Symétries"><span id="Sym.C3.A9tries"></span>Symétries</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Symétries" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>Les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Transformation_g%C3%A9om%C3%A9trique?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Transformation géométrique">transformations</a> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Isom%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Isométrie">isométriques</a> laissant un carré globalement invariant sont :</p> <ul> <li>les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sym%C3%A9trie_axiale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Symétrie axiale">symétries axiales</a> par rapport à une diagonale ou une <a href="https://fr-m-wikipedia-org.translate.goog/wiki/M%C3%A9diatrice?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Médiatrice">médiatrice</a> d’un côté ;</li> <li>les <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Rotation_plane?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Rotation plane">rotations</a> autour du centre du carré et dont l'angle est un multiple de l'angle droit, et en particulier la <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sym%C3%A9trie_centrale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Symétrie centrale">symétrie centrale</a> par rapport au centre du carré.</li> </ul> <p>En voici la liste, elles sont au nombre de huit et forment un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Groupe_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Groupe (mathématiques)">groupe</a> :</p> <table class="wikitable" border="1" style="text-align:center; margin:0 auto .5em auto;"> <tbody> <tr> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_id.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Group_D8_id.svg/140px-Group_D8_id.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Group_D8_id.svg/140px-Group_D8_id.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Group_D8_id.svg/210px-Group_D8_id.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7e/Group_D8_id.svg/280px-Group_D8_id.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> id (<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fonction_identit%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Fonction identité">identité</a> : chaque point est conservé)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_90.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Group_D8_90.svg/140px-Group_D8_90.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Group_D8_90.svg/140px-Group_D8_90.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Group_D8_90.svg/210px-Group_D8_90.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Group_D8_90.svg/280px-Group_D8_90.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> r<sub>1</sub> (rotation de 90° vers la droite)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_180.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Group_D8_180.svg/140px-Group_D8_180.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Group_D8_180.svg/140px-Group_D8_180.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Group_D8_180.svg/210px-Group_D8_180.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Group_D8_180.svg/280px-Group_D8_180.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> r<sub>2</sub> (rotation de 180°)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_270.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Group_D8_270.svg/140px-Group_D8_270.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Group_D8_270.svg/140px-Group_D8_270.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Group_D8_270.svg/210px-Group_D8_270.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/33/Group_D8_270.svg/280px-Group_D8_270.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> r<sub>3</sub> (rotation de 270° vers la droite)</td> </tr> <tr> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_fv.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Group_D8_fv.svg/140px-Group_D8_fv.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Group_D8_fv.svg/140px-Group_D8_fv.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/47/Group_D8_fv.svg/210px-Group_D8_fv.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/47/Group_D8_fv.svg/280px-Group_D8_fv.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> f<sub>v</sub> (retournement vertical)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_fh.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Group_D8_fh.svg/140px-Group_D8_fh.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Group_D8_fh.svg/140px-Group_D8_fh.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Group_D8_fh.svg/210px-Group_D8_fh.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Group_D8_fh.svg/280px-Group_D8_fh.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> f<sub>h</sub> (retournement horizontal)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_f13.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Group_D8_f13.svg/140px-Group_D8_f13.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Group_D8_f13.svg/140px-Group_D8_f13.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Group_D8_f13.svg/210px-Group_D8_f13.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Group_D8_f13.svg/280px-Group_D8_f13.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> f<sub>d</sub> (retournement suivant la première diagonale)</td> <td><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Group_D8_f24.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Group_D8_f24.svg/140px-Group_D8_f24.svg.png" decoding="async" width="140" height="118" class="mw-file-element" data-file-width="160" data-file-height="135"> </noscript><span class="lazy-image-placeholder" style="width: 140px;height: 118px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Group_D8_f24.svg/140px-Group_D8_f24.svg.png" data-width="140" data-height="118" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Group_D8_f24.svg/210px-Group_D8_f24.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Group_D8_f24.svg/280px-Group_D8_f24.svg.png 2x" data-class="mw-file-element"> </span></a></span> <br> f<sub>c</sub> (retournement suivant la deuxième diagonale)</td> </tr> <tr> <td style="text-align:left" colspan="4">Les éléments du <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Groupe_de_sym%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Groupe de symétrie">groupe de symétrie</a> (D<sub>4</sub>). Les sommets sont colorés et numérotés uniquement pour visualiser les transformations.</td> </tr> </tbody> </table> <p>Le carré plein est alors engendré par un domaine fondamental triangulaire reliant le centre, le milieu d’un côté et une extrémité de ce côté. Le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Diagramme_de_Coxeter-Dynkin?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Diagramme de Coxeter-Dynkin">diagramme de Coxeter-Dynkin</a> correspondant est constitué de deux points représentant les deux axes de symétrie bordant ce triangle (une diagonale et la médiatrice d’un côté), reliés par une arête marquée du chiffre 4 indiquant l’angle entre ces deux axes (45°, soit <span class="texhtml">π/4</span> radians, un quart d’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Angle_plat?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Angle plat">angle plat</a>). Un cercle autour de l’un des points montre la présence d’un sommet sur l’un des axes (portant la diagonale).</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Construction">Construction</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Construction" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <p>Tous les carrés sont <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Similitude_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Similitude (géométrie)">semblables</a>. Cela signifie que, pour deux carrés donnés, il existe toujours un agrandissement (ou une réduction) permettant de transformer l'un en l'autre en conservant les angles géométriques et les proportions. Chaque carré est donc défini par sa position, son orientation et sa taille.</p> <p>Un carré peut être défini par ses sommets, par son bord ou par son intérieur, mais aussi par l’une de ses diagonales, ou encore par la donnée de son centre et d’un sommet.</p> <p>Étant donné un segment du plan, il existe deux carrés admettant ce segment pour côté, mais si le plan est muni d’une orientation préalable, le choix d’une orientation sur le segment (ou, ce qui revient au même, le choix d’un ordre sur ses extrémités) permet de définir sans ambiguïté l’un des deux carrés. Cette dernière méthode est par exemple utilisée dans le logiciel <a href="https://fr-m-wikipedia-org.translate.goog/wiki/GeoGebra?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="GeoGebra">GeoGebra</a> pour construire un carré comme polygone régulier à 4 sommets.</p> <div class="mw-heading mw-heading3"> <h3 id="Construction_au_compas_seul">Construction au compas seul</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=6&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Construction au compas seul" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <figure class="mw-halign-right" typeof="mw:File"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Square_with_compass_only.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Dessin au compas"> <noscript> <img alt="Dessin au compas" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Square_with_compass_only.svg/300px-Square_with_compass_only.svg.png" decoding="async" width="300" height="218" class="mw-file-element" data-file-width="657" data-file-height="477"> </noscript><span class="lazy-image-placeholder" style="width: 300px;height: 218px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Square_with_compass_only.svg/300px-Square_with_compass_only.svg.png" data-alt="Dessin au compas" data-width="300" data-height="218" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Square_with_compass_only.svg/450px-Square_with_compass_only.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Square_with_compass_only.svg/600px-Square_with_compass_only.svg.png 2x" data-class="mw-file-element"> </span></a> <figcaption> Dessin au compas </figcaption> </figure> <p>On souhaite construire le carré de sommets ABCD connaissant seulement les points A et B. Posons R la distance entre A et B ; alors, on procède comme suit :</p> <ul> <li>on trace C<sub>1</sub> le cercle de centre A et de rayon R (qui contient alors B)<br> ⇒ on a un troisième point du carré sur ce cercle ;</li> <li>on trace C<sub>2</sub> le cercle de centre B et de rayon R (qui contient alors A)<br> ⇒ le quatrième point du carré, C, se trouve sur ce cercle ;</li> <li>Posons G un point d'intersection de C<sub>1</sub> avec C<sub>2</sub> ; on construit alors le point I, symétrique de B par rapport à A : <ul> <li>on trace C<sub>3</sub> centré en G et de rayon R ; ce cercle coupe C<sub>1</sub> en B et en un autre point H,</li> <li>C<sub>4</sub>, de centre H et de rayon R, coupe C<sub>1</sub> en G et en un nouveau point I ;</li> </ul></li> <li>posons S la distance entre G et I ; on construit alors C<sub>5</sub> de centre I et de rayon S (il contient forcément G) ;</li> <li>C<sub>6</sub> s'obtient en prenant pour centre B et pour rayon S (il contient forcément H) ; on note J le point d'intersection entre C<sub>6</sub> et C<sub>5</sub> qui est du même côté que G par rapport à la droite (AB) ;</li> <li>si T est la distance entre A et J, on construit C<sub>7</sub> le cercle de centre A et de rayon T (il contient forcément J)<br> ⇒ Le point C est obtenu par intersection entre C<sub>7</sub> et C<sub>2</sub> ;</li> <li>on construit alors C<sub>8</sub> de centre C et de rayon R<br> ⇒ l'intersection de C<sub>8</sub> et C<sub>1</sub> est le point D.</li> </ul> <div class="mw-heading mw-heading3"> <h3 id="Construction_à_la_règle_et_au_compas"><span id="Construction_.C3.A0_la_r.C3.A8gle_et_au_compas"></span>Construction à la règle et au compas</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=7&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Construction à la règle et au compas" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>Les animations suivantes montrent comment <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Construction_%C3%A0_la_r%C3%A8gle_et_au_compas?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Construction à la règle et au compas">construire un carré à la règle et au compas</a>.</p> <figure class="mw-halign-left" typeof="mw:File/Thumb"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Straight_Square_Inscribed_in_a_Circle_240px.gif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/2/2b/Straight_Square_Inscribed_in_a_Circle_240px.gif" decoding="async" width="240" height="240" class="mw-file-element" data-file-width="240" data-file-height="240"> </noscript><span class="lazy-image-placeholder" style="width: 240px;height: 240px;" data-src="//upload.wikimedia.org/wikipedia/commons/2/2b/Straight_Square_Inscribed_in_a_Circle_240px.gif" data-width="240" data-height="240" data-class="mw-file-element"> </span></a> <figcaption> Dans un cercle, avec un côté parallèle à un diamètre </figcaption> </figure> <div class="thumb tleft"> <div class="thumbinner" style="width:461px;"> <table style="border: 0; padding: 0; margin: 0;" cellspacing="0"> <tbody> <tr> <td style="padding: 0; margin: 0;" class="thumbimage"><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:01-Quadrat-Seite-gegeben.gif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Carré avec la longueur des côtés connue"> <noscript> <img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/01-Quadrat-Seite-gegeben.gif/240px-01-Quadrat-Seite-gegeben.gif" decoding="async" width="240" height="215" class="mw-file-element" data-file-width="528" data-file-height="473"> </noscript><span class="lazy-image-placeholder" style="width: 240px;height: 215px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/01-Quadrat-Seite-gegeben.gif/240px-01-Quadrat-Seite-gegeben.gif" data-alt="" data-width="240" data-height="215" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f3/01-Quadrat-Seite-gegeben.gif/360px-01-Quadrat-Seite-gegeben.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f3/01-Quadrat-Seite-gegeben.gif/480px-01-Quadrat-Seite-gegeben.gif 2x" data-class="mw-file-element"> </span></a></span></td> <td style="padding: 0; margin: 0; border: 0; width: 2px"></td> <td style="padding: 0; margin: 0;" class="thumbimage"><span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:01-Quadrat-Diagonale-gegeben.gif?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Carré avec la longueur des côtés connue"> <noscript> <img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/01-Quadrat-Diagonale-gegeben.gif/213px-01-Quadrat-Diagonale-gegeben.gif" decoding="async" width="213" height="213" class="mw-file-element" data-file-width="650" data-file-height="650"> </noscript><span class="lazy-image-placeholder" style="width: 213px;height: 213px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/01-Quadrat-Diagonale-gegeben.gif/213px-01-Quadrat-Diagonale-gegeben.gif" data-alt="" data-width="213" data-height="213" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d1/01-Quadrat-Diagonale-gegeben.gif/320px-01-Quadrat-Diagonale-gegeben.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d1/01-Quadrat-Diagonale-gegeben.gif/426px-01-Quadrat-Diagonale-gegeben.gif 2x" data-class="mw-file-element"> </span></a></span></td> </tr> <tr> <td style="padding: 0; margin: 0; border: 0;"> <div class="thumbcaption"> Carré avec la longueur des côtés connue </div></td> <td style="padding: 0; margin: 0; border: 0;"></td> <td style="padding: 0; margin: 0; border: 0;"> <div class="thumbcaption"> Carré avec la longueur des diagonales connue </div></td> </tr> </tbody> </table> </div> </div> <div class="clear" style="clear:both;"></div> <hr> <p><br></p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Problèmes_associés"><span id="Probl.C3.A8mes_associ.C3.A9s"></span>Problèmes associés</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=8&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Problèmes associés" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <p>En dehors des problèmes de construction, la figure du carré est à l’origine de nombreux problèmes géométriques.</p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"> <span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Squaring_the_circle.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Quadrature du cercle"> <noscript> <img alt="Quadrature du cercle" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/Squaring_the_circle.svg/120px-Squaring_the_circle.svg.png" decoding="async" width="120" height="120" class="mw-file-element" data-file-width="281" data-file-height="281"> </noscript><span class="lazy-image-placeholder" style="width: 120px;height: 120px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/Squaring_the_circle.svg/120px-Squaring_the_circle.svg.png" data-alt="Quadrature du cercle" data-width="120" data-height="120" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/Squaring_the_circle.svg/180px-Squaring_the_circle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a7/Squaring_the_circle.svg/240px-Squaring_the_circle.svg.png 2x" data-class="mw-file-element"> </span></a></span> </div> <div class="gallerytext"> Quadrature du cercle </div></li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"> <span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Squaring_the_square.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Quadrature parfaite du carré"> <noscript> <img alt="Quadrature parfaite du carré" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Squaring_the_square.svg/120px-Squaring_the_square.svg.png" decoding="async" width="120" height="120" class="mw-file-element" data-file-width="450" data-file-height="450"> </noscript><span class="lazy-image-placeholder" style="width: 120px;height: 120px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Squaring_the_square.svg/120px-Squaring_the_square.svg.png" data-alt="Quadrature parfaite du carré" data-width="120" data-height="120" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Squaring_the_square.svg/180px-Squaring_the_square.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Squaring_the_square.svg/240px-Squaring_the_square.svg.png 2x" data-class="mw-file-element"> </span></a></span> </div> <div class="gallerytext"> Quadrature parfaite du carré </div></li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"> <span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:5_kvadratoj_en_kvadrato.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Empilement de carrés dans un carré"> <noscript> <img alt="Empilement de carrés dans un carré" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/5_kvadratoj_en_kvadrato.svg/120px-5_kvadratoj_en_kvadrato.svg.png" decoding="async" width="120" height="120" class="mw-file-element" data-file-width="273" data-file-height="273"> </noscript><span class="lazy-image-placeholder" style="width: 120px;height: 120px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/5_kvadratoj_en_kvadrato.svg/120px-5_kvadratoj_en_kvadrato.svg.png" data-alt="Empilement de carrés dans un carré" data-width="120" data-height="120" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6b/5_kvadratoj_en_kvadrato.svg/180px-5_kvadratoj_en_kvadrato.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6b/5_kvadratoj_en_kvadrato.svg/240px-5_kvadratoj_en_kvadrato.svg.png 2x" data-class="mw-file-element"> </span></a></span> </div> <div class="gallerytext"> Empilement de carrés dans un carré </div></li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"> <span typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Inscribed_square.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description" title="Carrés inscrits dans une courbe illustrant la conjecture de Toeplitz"> <noscript> <img alt="Carrés inscrits dans une courbe illustrant la conjecture de Toeplitz" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Inscribed_square.svg/110px-Inscribed_square.svg.png" decoding="async" width="110" height="120" class="mw-file-element" data-file-width="680" data-file-height="740"> </noscript><span class="lazy-image-placeholder" style="width: 110px;height: 120px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Inscribed_square.svg/110px-Inscribed_square.svg.png" data-alt="Carrés inscrits dans une courbe illustrant la conjecture de Toeplitz" data-width="110" data-height="120" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Inscribed_square.svg/165px-Inscribed_square.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Inscribed_square.svg/220px-Inscribed_square.svg.png 2x" data-class="mw-file-element"> </span></a></span> </div> <div class="gallerytext"> Carrés inscrits dans une courbe illustrant la conjecture de Toeplitz </div></li> </ul> <p>La <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrature_du_cercle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quadrature du cercle">quadrature du cercle</a> est un problème de <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Construction_%C3%A0_la_r%C3%A8gle_et_au_compas?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Construction à la règle et au compas">construction à la règle et au compas</a> d’un carré ayant la même aire qu’un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Disque_(g%C3%A9om%C3%A9trie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Disque (géométrie)">disque</a>. Elle a été reconnue comme impossible du fait de la <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Transcendance?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Transcendance">transcendance</a> de <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Pi_(nombre)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Pi (nombre)">π</a>, démontrée par <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Ferdinand_von_Lindemann?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ferdinand von Lindemann">Ferdinand von Lindemann</a> en 1882.</p> <p>La <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrature_du_carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Quadrature du carré">quadrature du carré</a> est la décomposition de la surface d’un carré plein de côté entier en un nombre fini de carrés pleins de côté entier, tous de taille différente. Plusieurs solutions ont été trouvées au cours du <a href="https://fr-m-wikipedia-org.translate.goog/wiki/XXe_si%C3%A8cle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="XXe siècle"><abbr class="abbr" title="20ᵉ siècle"><span class="romain">XX</span><sup style="font-size:72%">e</sup></abbr> siècle</a>.</p> <p>L’<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Empilement_de_carr%C3%A9s_dans_un_carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Empilement de carrés dans un carré">empilement de carrés dans un carré</a> ou <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Empilement_de_carr%C3%A9s_dans_un_cercle?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Empilement de carrés dans un cercle">dans un cercle</a> est la détermination de la taille maximale de <span class="texhtml mvar" style="font-style:italic;">n</span> carrés superposables permettant une inclusion disjointe de leurs intérieurs dans un carré (ou un cercle) de taille donnée, en fonction du nombre <span class="texhtml mvar" style="font-style:italic;">n</span>. Il n’y a pas de formule générale connue mais de nombreux empilements ont été proposés et l’optimalité de certains d’entre eux a été démontrée, pour de petites valeurs de <span class="texhtml mvar" style="font-style:italic;">n</span> ou si ce nombre est déjà un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_parfait?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré parfait">carré parfait</a>.</p> <p>La <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Conjecture_de_Toeplitz?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Conjecture de Toeplitz">conjecture de Toeplitz</a> postule que toute <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Courbe_ferm%C3%A9e?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Courbe fermée">courbe fermée simple</a> contient quatre points distincts aux sommets d’un carré. Elle a été démontrée sous des hypothèses supplémentaires de <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Classe_de_r%C3%A9gularit%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Classe de régularité">régularité</a> ou de symétrie sur la courbe, mais résiste dans un cadre général notamment sur certaines courbes <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fractale?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Fractale">fractales</a>.</p> <p>La subdivision d’un carré en carrés plus petits le long d’un <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Quadrillage?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-redirect" title="Quadrillage">quadrillage</a> mène aussi à de nombreux problèmes exploités notamment comme jeux : le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_latin?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré latin">carré latin</a>, le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_gr%C3%A9co-latin?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré gréco-latin">carré gréco-latin</a>, le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_magique?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-disambig" title="Carré magique">carré magique</a>, le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sudoku?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Sudoku">sudoku</a>...</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Histoire">Histoire</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=9&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Histoire" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-4 collapsible-block" id="mf-section-4"> <figure class="mw-default-size" typeof="mw:File/Thumb"> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Fichier:Ybc7289-bw.jpg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Ybc7289-bw.jpg/220px-Ybc7289-bw.jpg" decoding="async" width="220" height="205" class="mw-file-element" data-file-width="338" data-file-height="315"> </noscript><span class="lazy-image-placeholder" style="width: 220px;height: 205px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Ybc7289-bw.jpg/220px-Ybc7289-bw.jpg" data-width="220" data-height="205" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Ybc7289-bw.jpg/330px-Ybc7289-bw.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/0/0b/Ybc7289-bw.jpg 2x" data-class="mw-file-element"> </span></a> <figcaption> La tablette d'argile <a href="https://fr-m-wikipedia-org.translate.goog/wiki/YBC_7289?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="YBC 7289">YBC 7289</a> : une très ancienne (environ 1700 <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr>) représentation d'un carré avec ses diagonales et une valeur approchée de <span class="racine">√<span style="border-top:1px solid; padding:0 0.1em;">2</span></span> (crédits : Bill Casselman). </figcaption> </figure> <p>Des poteries décorées de carrés sont attestées dès le <abbr class="abbr" title="6ᵉ millénaire">VI<sup>e</sup></abbr> millénaire <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr> en <a href="https://fr-m-wikipedia-org.translate.goog/wiki/M%C3%A9sopotamie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mésopotamie">Mésopotamie</a><sup id="cite_ref-Robson_1-0" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-Robson-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>.</p> <p>Des tablettes démontrent la connaissance des symétries et rotations du carré vers le <a href="https://fr-m-wikipedia-org.translate.goog/wiki/XVIIIe_si%C3%A8cle_av._J.-C.?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="XVIIIe siècle av. J.-C."><abbr class="abbr" title="18ᵉ siècle"><span class="romain">XVIII</span><sup style="font-size:72%">e</sup></abbr> siècle <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr></a> La tablette BM 15285 contient une quarantaine de problèmes mathématiques concernant des aires de figures liées à des carrés<sup id="cite_ref-Robson_1-1" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-Robson-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>.</p> <p>L'<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Ancien_Testament?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ancien Testament">Ancien Testament</a> recommande de bâtir des villes de forme carrée, quelle que soit la forme de son enceinte<sup id="cite_ref-2" class="reference"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup>.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(5)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Informatique">Informatique</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=10&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Informatique" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-5 collapsible-block" id="mf-section-5"> <div class="mw-heading mw-heading3"> <h3 id="Unicode">Unicode</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=11&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Unicode" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>Plusieurs caractères <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Unicode?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Unicode">Unicode</a> représentent des carrés. On peut synthétiquement les recenser dans le tableau suivant.</p> <table class="wikitable"> <tbody> <tr> <th></th> <th colspan="3">Table des formes géométriques <p><small>(<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Table_des_caract%C3%A8res_Unicode/U25A0?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Table des caractères Unicode/U25A0">U+25A0</a> et suivants)</small></p></th> <th>Symboles divers et flèches <p><small>(<a href="https://fr-m-wikipedia-org.translate.goog/wiki/Table_des_caract%C3%A8res_Unicode/U2B00?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Table des caractères Unicode/U2B00">U+2B00</a> et suivants)</small></p></th> </tr> <tr> <th>Style</th> <th>Grand</th> <th>Moyen</th> <th>Petit</th> <th>Grand</th> </tr> <tr> <td>carré noir plein</td> <td>■ (U+25A0)</td> <td>◼ (U+25FC)</td> <td>◾ (U+25FE)</td> <td>⬛ (U+2B1B)</td> </tr> <tr> <td>carré blanc vide</td> <td>□ (U+25A1)</td> <td>◻ (U+25FB)</td> <td>◽ (U+25FD)</td> <td>⬜ (U+2B1C)</td> </tr> </tbody> </table> <div class="mw-heading mw-heading3"> <h3 id="LaTeX">LaTeX</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=12&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : LaTeX" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>Dans le langage <a href="https://fr-m-wikipedia-org.translate.goog/wiki/LaTeX?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="LaTeX">LaTeX</a>, les extensions <code>amsfonts</code> et <code>amssymb</code> fournissent la commande <code>\square</code> pour mettre un carré en mode mathématique.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(6)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=13&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Notes et références" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-6 collapsible-block" id="mf-section-6"> <div class="references-small decimal" style=""> <div class="mw-references-wrap"> <ol class="references"> <li id="cite_note-Robson-1"><span class="mw-cite-backlink noprint">↑ <sup><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-Robson_1-0">a</a> et <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-Robson_1-1">b</a></sup> </span><span class="reference-text"><span class="ouvrage" id="Robson2008"><span class="ouvrage" id="Eleanor_Robson2008"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Eleanor_Robson?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Eleanor Robson">Eleanor <span class="nom_auteur">Robson</span></a>, <cite class="italique" lang="en">Mathematics in Ancient Iraq: A Social History</cite>, Princeton University Press, <time>2008</time>, 442 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="https://fr-m-wikipedia-org.translate.goog/wiki/International_Standard_Book_Number?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="International Standard Book Number">ISBN</a> <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/9780691091822?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Spécial:Ouvrages de référence/9780691091822"><span class="nowrap">9780691091822</span></a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Mathematics+in+Ancient+Iraq%3A+A+Social+History&rft.pub=Princeton+University+Press&rft.aulast=Robson&rft.aufirst=Eleanor&rft.date=2008&rft.tpages=442&rft.isbn=9780691091822&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ACarr%C3%A9"></span></span></span>.</span></li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#cite_ref-2">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Munkben_JosephDukesCahen1833"><span class="ouvrage" id="Salomon_MunkTanchum_ben_JosephLeopold_DukesIsidore_Cahen1833"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Salomon_Munk?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Salomon Munk">Salomon Munk</a>, Tanchum ben Joseph, <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Leopold_Dukes?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Leopold Dukes">Leopold Dukes</a> et <a href="https://fr-m-wikipedia-org.translate.goog/wiki/Isidore_Cahen?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Isidore Cahen">Isidore Cahen</a>, <cite class="italique">La Bible : traduction nouvelle</cite>, <time>1833</time><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=La+Bible+%3A+traduction+nouvelle&rft.aulast=Munk&rft.aufirst=Salomon&rft.au=Tanchum+ben+Joseph&rft.au=Leopold+Dukes&rft.au=Isidore+Cahen&rft.date=1833&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ACarr%C3%A9"></span></span></span>.</span></li> </ol> </div> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(7)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Voir_aussi">Voir aussi</h2><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=14&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Voir aussi" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <section class="mf-section-7 collapsible-block" id="mf-section-7"> <style data-mw-deduplicate="TemplateStyles:r194021218">.mw-parser-output .autres-projets>.titre{text-align:center;margin:0.2em 0}.mw-parser-output .autres-projets>ul{margin:0;padding:0}.mw-parser-output .autres-projets>ul>li{list-style:none;margin:0.2em 0;text-indent:0;padding-left:24px;min-height:20px;text-align:left;display:block}.mw-parser-output .autres-projets>ul>li>a{font-style:italic}@media(max-width:720px){.mw-parser-output .autres-projets{float:none}}</style> <div class="autres-projets boite-grise boite-a-droite noprint js-interprojets"> <p class="titre">Sur les autres projets Wikimedia :</p> <ul class="noarchive plainlinks"> <li class="commons"><a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://commons.wikimedia.org/wiki/Category:Squares?uselang%3Dfr">Carré</a>, sur <span class="project">Wikimedia Commons</span></li> </ul> </div> <div class="mw-heading mw-heading3"> <h3 id="Articles_connexes">Articles connexes</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=15&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Articles connexes" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <ul> <li><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_magique_(math%C3%A9matiques)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré magique (mathématiques)">Carré magique (mathématiques)</a></li> <li><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Pseudo-carr%C3%A9?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Pseudo-carré">Pseudo-carré</a></li> <li><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Carr%C3%A9_parfait?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Carré parfait">Carré parfait</a></li> </ul> <div class="mw-heading mw-heading3"> <h3 id="Lien_externe">Lien externe</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=16&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Lien externe" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p><span class="ouvrage" id="Debart"><span class="ouvrage" id="Patrice_Debart">Patrice Debart, « <a rel="nofollow" class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=http://www.debart.fr/college/carre.mobile.html"><cite style="font-style:normal;">Le carré au collège</cite></a> », sur <span class="italique">Descartes et les mathématiques</span></span></span></p> <div class="mw-heading mw-heading3"> <h3 id="Bibliographie">Bibliographie</h3><span class="mw-editsection"> <a role="button" href="https://fr-m-wikipedia-org.translate.goog/w/index.php?title=Carr%C3%A9&action=edit&section=17&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Modifier la section : Bibliographie" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>modifier</span> </a> </span> </div> <p>Stella Baruk, « Carré » dans le <i>Dictionnaire des mathématiques élémentaires</i>, Éditions du Seuil, Paris 1995.</p> <div class="navbox-container" style="clear:both;"> </div> <ul id="bandeau-portail" class="bandeau-portail"> <li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="https://fr-m-wikipedia-org.translate.goog/wiki/Portail:G%C3%A9om%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Portail de la géométrie"> <noscript> <img alt="icône décorative" 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href="https://fr-m-wikipedia-org.translate.goog/wiki/Portail:G%C3%A9om%C3%A9trie?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Portail:Géométrie">Portail de la géométrie</a></span> </span></li> </ul>   </section> </div> <noscript> <img src="https://login.m.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&mobile=1" alt="" width="1" height="1" style="border: none; position: absolute;"> </noscript> <div class="printfooter" data-nosnippet=""> Ce document provient de « <a dir="ltr" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/w/index.php?title%3DCarr%C3%A9%26oldid%3D220224050">https://fr.wikipedia.org/w/index.php?title=Carré&oldid=220224050</a> ». </div> </div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"><a class="last-modified-bar" 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title="Vierkant – afrikaans" lang="af" hreflang="af" data-title="Vierkant" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://als.wikipedia.org/wiki/Quadrat_(Geometrie)" title="Quadrat (Geometrie) – alémanique" lang="gsw" hreflang="gsw" data-title="Quadrat (Geometrie)" data-language-autonym="Alemannisch" data-language-local-name="alémanique" class="interlanguage-link-target"><span>Alemannisch</span></a></li> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://an.wikipedia.org/wiki/Cuadrau" title="Cuadrau – aragonais" lang="an" hreflang="an" data-title="Cuadrau" data-language-autonym="Aragonés" data-language-local-name="aragonais" class="interlanguage-link-target"><span>Aragonés</span></a></li> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ar.wikipedia.org/wiki/%25D9%2585%25D8%25B1%25D8%25A8%25D8%25B9" title="مربع – arabe" lang="ar" hreflang="ar" data-title="مربع" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li> <li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ary.wikipedia.org/wiki/%25D9%2583%25D8%25A7%25D8%25B1%25D9%2588" title="كارو – arabe marocain" lang="ary" hreflang="ary" data-title="كارو" data-language-autonym="الدارجة" data-language-local-name="arabe marocain" class="interlanguage-link-target"><span>الدارجة</span></a></li> <li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://arz.wikipedia.org/wiki/%25D9%2585%25D8%25B1%25D8%25A8%25D8%25B9" title="مربع – arabe égyptien" lang="arz" hreflang="arz" data-title="مربع" data-language-autonym="مصرى" data-language-local-name="arabe égyptien" class="interlanguage-link-target"><span>مصرى</span></a></li> <li class="interlanguage-link interwiki-as mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://as.wikipedia.org/wiki/%25E0%25A6%25AC%25E0%25A7%25B0%25E0%25A7%258D%25E0%25A6%2597%25E0%25A6%2595%25E0%25A7%258D%25E0%25A6%25B7%25E0%25A7%2587%25E0%25A6%25A4%25E0%25A7%258D%25E0%25A7%25B0" title="বৰ্গক্ষেত্ৰ – assamais" lang="as" hreflang="as" data-title="বৰ্গক্ষেত্ৰ" data-language-autonym="অসমীয়া" data-language-local-name="assamais" class="interlanguage-link-target"><span>অসমীয়া</span></a></li> <li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ast.wikipedia.org/wiki/Cuadr%25C3%25A1u" title="Cuadráu – asturien" lang="ast" hreflang="ast" data-title="Cuadráu" data-language-autonym="Asturianu" data-language-local-name="asturien" class="interlanguage-link-target"><span>Asturianu</span></a></li> <li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ay.wikipedia.org/wiki/Pusi_k%2527uchuni" title="Pusi k'uchuni – aymara" lang="ay" hreflang="ay" data-title="Pusi k'uchuni" data-language-autonym="Aymar aru" data-language-local-name="aymara" class="interlanguage-link-target"><span>Aymar aru</span></a></li> <li class="interlanguage-link interwiki-az mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://az.wikipedia.org/wiki/Kvadrat" title="Kvadrat – azerbaïdjanais" lang="az" hreflang="az" data-title="Kvadrat" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaïdjanais" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li> <li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://azb.wikipedia.org/wiki/%25D9%2585%25D9%2588%25D8%25B1%25D8%25A8%25D8%25B9" title="موربع – South Azerbaijani" lang="azb" hreflang="azb" data-title="موربع" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li> <li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ba.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – bachkir" lang="ba" hreflang="ba" data-title="Квадрат" data-language-autonym="Башҡортса" data-language-local-name="bachkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li> <li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bat-smg.wikipedia.org/wiki/Kvadrots" title="Kvadrots – samogitien" lang="sgs" hreflang="sgs" data-title="Kvadrots" data-language-autonym="Žemaitėška" data-language-local-name="samogitien" class="interlanguage-link-target"><span>Žemaitėška</span></a></li> <li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bcl.wikipedia.org/wiki/Kwadrado" title="Kwadrado – Central Bikol" lang="bcl" hreflang="bcl" data-title="Kwadrado" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li> <li class="interlanguage-link interwiki-be mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – biélorusse" lang="be" hreflang="be" data-title="Квадрат" data-language-autonym="Беларуская" data-language-local-name="biélorusse" class="interlanguage-link-target"><span>Беларуская</span></a></li> <li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be-tarask.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Квадрат" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li> <li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bg.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – bulgare" lang="bg" hreflang="bg" data-title="Квадрат" data-language-autonym="Български" data-language-local-name="bulgare" class="interlanguage-link-target"><span>Български</span></a></li> <li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bn.wikipedia.org/wiki/%25E0%25A6%25AC%25E0%25A6%25B0%25E0%25A7%258D%25E0%25A6%2597%25E0%25A6%2595%25E0%25A7%258D%25E0%25A6%25B7%25E0%25A7%2587%25E0%25A6%25A4%25E0%25A7%258D%25E0%25A6%25B0" title="বর্গক্ষেত্র – bengali" lang="bn" hreflang="bn" data-title="বর্গক্ষেত্র" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li> <li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bo.wikipedia.org/wiki/%25E0%25BD%2598%25E0%25BD%2582%25E0%25BE%25B2%25E0%25BD%25B4%25E0%25BC%258B%25E0%25BD%2596%25E0%25BD%259E%25E0%25BD%25B2%25E0%25BC%258B%25E0%25BD%2581%25E0%25BC%258B%25E0%25BD%2582%25E0%25BD%2584%25E0%25BC%258B%25E0%25BC%258D" title="མགྲུ་བཞི་ཁ་གང་། – tibétain" lang="bo" hreflang="bo" data-title="མགྲུ་བཞི་ཁ་གང་།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibétain" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li> <li class="interlanguage-link interwiki-br mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://br.wikipedia.org/wiki/Karrez" title="Karrez – breton" lang="br" hreflang="br" data-title="Karrez" data-language-autonym="Brezhoneg" data-language-local-name="breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li> <li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bs.wikipedia.org/wiki/Kvadrat" title="Kvadrat – bosniaque" lang="bs" hreflang="bs" data-title="Kvadrat" data-language-autonym="Bosanski" data-language-local-name="bosniaque" class="interlanguage-link-target"><span>Bosanski</span></a></li> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wikipedia.org/wiki/Quadrat_(pol%25C3%25ADgon)" title="Quadrat (polígon) – catalan" lang="ca" hreflang="ca" data-title="Quadrat (polígon)" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li> <li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ckb.wikipedia.org/wiki/%25DA%2586%25D9%2588%25D8%25A7%25D8%25B1%25DA%25AF%25DB%2586%25D8%25B4%25DB%2595" title="چوارگۆشە – sorani" lang="ckb" hreflang="ckb" data-title="چوارگۆشە" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li> <li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://crh.wikipedia.org/wiki/Murabba" title="Murabba – tatar de Crimée" lang="crh" hreflang="crh" data-title="Murabba" data-language-autonym="Qırımtatarca" data-language-local-name="tatar de Crimée" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cs.wikipedia.org/wiki/%25C4%258Ctverec" title="Čtverec – tchèque" lang="cs" hreflang="cs" data-title="Čtverec" data-language-autonym="Čeština" data-language-local-name="tchèque" class="interlanguage-link-target"><span>Čeština</span></a></li> <li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cv.wikipedia.org/wiki/%25D0%25A2%25C4%2583%25D0%25B2%25D0%25B0%25D1%2582%25D0%25BA%25D0%25B0%25D0%25BB" title="Тăваткал – tchouvache" lang="cv" hreflang="cv" data-title="Тăваткал" data-language-autonym="Чӑвашла" data-language-local-name="tchouvache" class="interlanguage-link-target"><span>Чӑвашла</span></a></li> <li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cy.wikipedia.org/wiki/Sgw%25C3%25A2r" title="Sgwâr – gallois" lang="cy" hreflang="cy" data-title="Sgwâr" data-language-autonym="Cymraeg" data-language-local-name="gallois" class="interlanguage-link-target"><span>Cymraeg</span></a></li> <li class="interlanguage-link interwiki-da mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://da.wikipedia.org/wiki/Kvadrat" title="Kvadrat – danois" lang="da" hreflang="da" data-title="Kvadrat" data-language-autonym="Dansk" data-language-local-name="danois" class="interlanguage-link-target"><span>Dansk</span></a></li> <li class="interlanguage-link interwiki-de mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://de.wikipedia.org/wiki/Quadrat" title="Quadrat – allemand" lang="de" hreflang="de" data-title="Quadrat" data-language-autonym="Deutsch" data-language-local-name="allemand" class="interlanguage-link-target"><span>Deutsch</span></a></li> <li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://dsb.wikipedia.org/wiki/Kwadrat" title="Kwadrat – bas-sorabe" lang="dsb" hreflang="dsb" data-title="Kwadrat" data-language-autonym="Dolnoserbski" data-language-local-name="bas-sorabe" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li> <li class="interlanguage-link interwiki-el mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://el.wikipedia.org/wiki/%25CE%25A4%25CE%25B5%25CF%2584%25CF%2581%25CE%25AC%25CE%25B3%25CF%2589%25CE%25BD%25CE%25BF" title="Τετράγωνο – grec" lang="el" hreflang="el" data-title="Τετράγωνο" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li> <li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eml.wikipedia.org/wiki/Quadr%25C3%25AA_(giometr%25C3%25ACa)" title="Quadrê (giometrìa) – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Quadrê (giometrìa)" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://en.wikipedia.org/wiki/Square" title="Square – anglais" lang="en" hreflang="en" data-title="Square" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li> <li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eo.wikipedia.org/wiki/Kvadrato_(geometrio)" title="Kvadrato (geometrio) – espéranto" lang="eo" hreflang="eo" data-title="Kvadrato (geometrio)" data-language-autonym="Esperanto" data-language-local-name="espéranto" class="interlanguage-link-target"><span>Esperanto</span></a></li> <li class="interlanguage-link interwiki-es mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://es.wikipedia.org/wiki/Cuadrado" title="Cuadrado – espagnol" lang="es" hreflang="es" data-title="Cuadrado" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li> <li class="interlanguage-link interwiki-et mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://et.wikipedia.org/wiki/Ruut" title="Ruut – estonien" lang="et" hreflang="et" data-title="Ruut" data-language-autonym="Eesti" data-language-local-name="estonien" class="interlanguage-link-target"><span>Eesti</span></a></li> <li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eu.wikipedia.org/wiki/Karratu" title="Karratu – basque" lang="eu" hreflang="eu" data-title="Karratu" data-language-autonym="Euskara" data-language-local-name="basque" class="interlanguage-link-target"><span>Euskara</span></a></li> <li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fa.wikipedia.org/wiki/%25D9%2585%25D8%25B1%25D8%25A8%25D8%25B9" title="مربع – persan" lang="fa" hreflang="fa" data-title="مربع" data-language-autonym="فارسی" data-language-local-name="persan" class="interlanguage-link-target"><span>فارسی</span></a></li> <li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fi.wikipedia.org/wiki/Neli%25C3%25B6_(geometria)" title="Neliö (geometria) – finnois" lang="fi" hreflang="fi" data-title="Neliö (geometria)" data-language-autonym="Suomi" data-language-local-name="finnois" class="interlanguage-link-target"><span>Suomi</span></a></li> <li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fj.wikipedia.org/wiki/Sikuea" title="Sikuea – fidjien" lang="fj" hreflang="fj" data-title="Sikuea" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fidjien" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li> <li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://frr.wikipedia.org/wiki/Kwadroot" title="Kwadroot – frison septentrional" lang="frr" hreflang="frr" data-title="Kwadroot" data-language-autonym="Nordfriisk" data-language-local-name="frison septentrional" class="interlanguage-link-target"><span>Nordfriisk</span></a></li> <li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ga.wikipedia.org/wiki/Cearn%25C3%25B3g" title="Cearnóg – irlandais" lang="ga" hreflang="ga" data-title="Cearnóg" data-language-autonym="Gaeilge" data-language-local-name="irlandais" class="interlanguage-link-target"><span>Gaeilge</span></a></li> <li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gan.wikipedia.org/wiki/%25E6%2596%25B9%25E5%25BD%25A2" title="方形 – gan" lang="gan" hreflang="gan" data-title="方形" data-language-autonym="贛語" data-language-local-name="gan" class="interlanguage-link-target"><span>贛語</span></a></li> <li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gl.wikipedia.org/wiki/Cadrado" title="Cadrado – galicien" lang="gl" hreflang="gl" data-title="Cadrado" data-language-autonym="Galego" data-language-local-name="galicien" class="interlanguage-link-target"><span>Galego</span></a></li> <li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gu.wikipedia.org/wiki/%25E0%25AA%259A%25E0%25AB%258B%25E0%25AA%25B0%25E0%25AA%25B8" title="ચોરસ – goudjarati" lang="gu" hreflang="gu" data-title="ચોરસ" data-language-autonym="ગુજરાતી" data-language-local-name="goudjarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li> <li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hak.wikipedia.org/wiki/Chang-f%25C3%25B4ng-h%25C3%25ACn" title="Chang-fông-hìn – hakka" lang="hak" hreflang="hak" data-title="Chang-fông-hìn" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="hakka" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li> <li class="interlanguage-link interwiki-he mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://he.wikipedia.org/wiki/%25D7%25A8%25D7%2599%25D7%2591%25D7%2595%25D7%25A2" title="ריבוע – hébreu" lang="he" hreflang="he" data-title="ריבוע" data-language-autonym="עברית" data-language-local-name="hébreu" class="interlanguage-link-target"><span>עברית</span></a></li> <li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hi.wikipedia.org/wiki/%25E0%25A4%25B5%25E0%25A4%25B0%25E0%25A5%258D%25E0%25A4%2597%25E0%25A4%25BE%25E0%25A4%2595%25E0%25A4%25BE%25E0%25A4%25B0" title="वर्गाकार – hindi" lang="hi" hreflang="hi" data-title="वर्गाकार" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li> <li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hr.wikipedia.org/wiki/Kvadrat" title="Kvadrat – croate" lang="hr" hreflang="hr" data-title="Kvadrat" data-language-autonym="Hrvatski" data-language-local-name="croate" class="interlanguage-link-target"><span>Hrvatski</span></a></li> <li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hsb.wikipedia.org/wiki/Kwadrat" title="Kwadrat – haut-sorabe" lang="hsb" hreflang="hsb" data-title="Kwadrat" data-language-autonym="Hornjoserbsce" data-language-local-name="haut-sorabe" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li> <li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ht.wikipedia.org/wiki/Kare" title="Kare – créole haïtien" lang="ht" hreflang="ht" data-title="Kare" data-language-autonym="Kreyòl ayisyen" data-language-local-name="créole haïtien" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li> <li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hu.wikipedia.org/wiki/N%25C3%25A9gyzet" title="Négyzet – hongrois" lang="hu" hreflang="hu" data-title="Négyzet" data-language-autonym="Magyar" data-language-local-name="hongrois" class="interlanguage-link-target"><span>Magyar</span></a></li> <li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hy.wikipedia.org/wiki/%25D5%2594%25D5%25A1%25D5%25BC%25D5%25A1%25D5%25AF%25D5%25B8%25D6%2582%25D5%25BD%25D5%25AB" title="Քառակուսի – arménien" lang="hy" hreflang="hy" data-title="Քառակուսի" data-language-autonym="Հայերեն" data-language-local-name="arménien" class="interlanguage-link-target"><span>Հայերեն</span></a></li> <li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ia.wikipedia.org/wiki/Quadrato" title="Quadrato – interlingua" lang="ia" hreflang="ia" data-title="Quadrato" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li> <li class="interlanguage-link interwiki-id mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/wiki/Persegi" title="Persegi – indonésien" lang="id" hreflang="id" data-title="Persegi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésien" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li> <li class="interlanguage-link interwiki-ik mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ik.wikipedia.org/wiki/Ka%25C5%258Bi%25C4%25A1allulik" title="Kaŋiġallulik – inupiaq" lang="ik" hreflang="ik" data-title="Kaŋiġallulik" data-language-autonym="Iñupiatun" data-language-local-name="inupiaq" class="interlanguage-link-target"><span>Iñupiatun</span></a></li> <li class="interlanguage-link interwiki-io mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://io.wikipedia.org/wiki/Quadrato" title="Quadrato – ido" lang="io" hreflang="io" data-title="Quadrato" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li> <li class="interlanguage-link interwiki-is mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://is.wikipedia.org/wiki/Ferningur" title="Ferningur – islandais" lang="is" hreflang="is" data-title="Ferningur" data-language-autonym="Íslenska" data-language-local-name="islandais" class="interlanguage-link-target"><span>Íslenska</span></a></li> <li class="interlanguage-link interwiki-it mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://it.wikipedia.org/wiki/Quadrato" title="Quadrato – italien" lang="it" hreflang="it" data-title="Quadrato" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li> <li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ja.wikipedia.org/wiki/%25E6%25AD%25A3%25E6%2596%25B9%25E5%25BD%25A2" title="正方形 – japonais" lang="ja" hreflang="ja" data-title="正方形" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li> <li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://jam.wikipedia.org/wiki/Skwier_(jaamichri)" title="Skwier (jaamichri) – créole jamaïcain" lang="jam" hreflang="jam" data-title="Skwier (jaamichri)" data-language-autonym="Patois" data-language-local-name="créole jamaïcain" class="interlanguage-link-target"><span>Patois</span></a></li> <li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://jv.wikipedia.org/wiki/Pesagi" title="Pesagi – javanais" lang="jv" hreflang="jv" data-title="Pesagi" data-language-autonym="Jawa" data-language-local-name="javanais" class="interlanguage-link-target"><span>Jawa</span></a></li> <li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ka.wikipedia.org/wiki/%25E1%2583%2599%25E1%2583%2595%25E1%2583%2590%25E1%2583%2593%25E1%2583%25A0%25E1%2583%2590%25E1%2583%25A2%25E1%2583%2598" title="კვადრატი – géorgien" lang="ka" hreflang="ka" data-title="კვადრატი" data-language-autonym="ქართული" data-language-local-name="géorgien" class="interlanguage-link-target"><span>ქართული</span></a></li> <li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kbd.wikipedia.org/wiki/%25D0%2597%25D1%258D%25D0%25B1%25D0%25B3%25D1%258A%25D1%2583%25D0%25B7%25D1%258D%25D0%25BD%25D0%25B0%25D1%2582%25D3%2580%25D1%258D" title="ЗэбгъузэнатӀэ – kabarde" lang="kbd" hreflang="kbd" data-title="ЗэбгъузэнатӀэ" data-language-autonym="Адыгэбзэ" data-language-local-name="kabarde" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li> <li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kk.wikipedia.org/wiki/%25D0%25A8%25D0%25B0%25D1%2580%25D1%2588%25D1%258B" title="Шаршы – kazakh" lang="kk" hreflang="kk" data-title="Шаршы" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li> <li class="interlanguage-link interwiki-km mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://km.wikipedia.org/wiki/%25E1%259E%2580%25E1%259E%25B6%25E1%259E%259A%25E1%259F%2589%25E1%259F%2581" title="ការ៉េ – khmer" lang="km" hreflang="km" data-title="ការ៉េ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li> <li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ko.wikipedia.org/wiki/%25EC%25A0%2595%25EC%2582%25AC%25EA%25B0%2581%25ED%2598%2595" title="정사각형 – coréen" lang="ko" hreflang="ko" data-title="정사각형" data-language-autonym="한국어" data-language-local-name="coréen" class="interlanguage-link-target"><span>한국어</span></a></li> <li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ku.wikipedia.org/wiki/%25C3%2587ar%25C3%25A7ik" title="Çarçik – kurde" lang="ku" hreflang="ku" data-title="Çarçik" data-language-autonym="Kurdî" data-language-local-name="kurde" class="interlanguage-link-target"><span>Kurdî</span></a></li> <li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kw.wikipedia.org/wiki/Pedrek" title="Pedrek – cornique" lang="kw" hreflang="kw" data-title="Pedrek" data-language-autonym="Kernowek" data-language-local-name="cornique" class="interlanguage-link-target"><span>Kernowek</span></a></li> <li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ky.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – kirghize" lang="ky" hreflang="ky" data-title="Квадрат" data-language-autonym="Кыргызча" data-language-local-name="kirghize" class="interlanguage-link-target"><span>Кыргызча</span></a></li> <li class="interlanguage-link interwiki-la mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://la.wikipedia.org/wiki/Quadrum" title="Quadrum – latin" lang="la" hreflang="la" data-title="Quadrum" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li> <li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lfn.wikipedia.org/wiki/Cuadro" title="Cuadro – lingua franca nova" lang="lfn" hreflang="lfn" data-title="Cuadro" data-language-autonym="Lingua Franca Nova" data-language-local-name="lingua franca nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li> <li class="interlanguage-link interwiki-li mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://li.wikipedia.org/wiki/Veerkantj" title="Veerkantj – limbourgeois" lang="li" hreflang="li" data-title="Veerkantj" data-language-autonym="Limburgs" data-language-local-name="limbourgeois" class="interlanguage-link-target"><span>Limburgs</span></a></li> <li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lmo.wikipedia.org/wiki/Quadr%25C3%25A0t_(geometr%25C3%25ACa)" title="Quadràt (geometrìa) – lombard" lang="lmo" hreflang="lmo" data-title="Quadràt (geometrìa)" data-language-autonym="Lombard" data-language-local-name="lombard" class="interlanguage-link-target"><span>Lombard</span></a></li> <li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lo.wikipedia.org/wiki/%25E0%25BA%25AE%25E0%25BA%25B9%25E0%25BA%259A%25E0%25BA%2588%25E0%25BA%25B1%25E0%25BA%2594%25E0%25BA%2595%25E0%25BA%25B8%25E0%25BA%25A5%25E0%25BA%25B1%25E0%25BA%2594" title="ຮູບຈັດຕຸລັດ – lao" lang="lo" hreflang="lo" data-title="ຮູບຈັດຕຸລັດ" data-language-autonym="ລາວ" data-language-local-name="lao" class="interlanguage-link-target"><span>ລາວ</span></a></li> <li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lt.wikipedia.org/wiki/Kvadratas" title="Kvadratas – lituanien" lang="lt" hreflang="lt" data-title="Kvadratas" data-language-autonym="Lietuvių" data-language-local-name="lituanien" class="interlanguage-link-target"><span>Lietuvių</span></a></li> <li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lv.wikipedia.org/wiki/Kvadr%25C4%2581ts" title="Kvadrāts – letton" lang="lv" hreflang="lv" data-title="Kvadrāts" data-language-autonym="Latviešu" data-language-local-name="letton" class="interlanguage-link-target"><span>Latviešu</span></a></li> <li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mdf.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582%25D1%2581%25D1%258C" title="Квадратсь – mokcha" lang="mdf" hreflang="mdf" data-title="Квадратсь" data-language-autonym="Мокшень" data-language-local-name="mokcha" class="interlanguage-link-target"><span>Мокшень</span></a></li> <li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mg.wikipedia.org/wiki/Efamira" title="Efamira – malgache" lang="mg" hreflang="mg" data-title="Efamira" data-language-autonym="Malagasy" data-language-local-name="malgache" class="interlanguage-link-target"><span>Malagasy</span></a></li> <li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mhr.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582_(%25D0%25B3%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D0%25B8%25D0%25B9)" title="Квадрат (геометрий) – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Квадрат (геометрий)" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li> <li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mk.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – macédonien" lang="mk" hreflang="mk" data-title="Квадрат" data-language-autonym="Македонски" data-language-local-name="macédonien" class="interlanguage-link-target"><span>Македонски</span></a></li> <li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ml.wikipedia.org/wiki/%25E0%25B4%25B8%25E0%25B4%25AE%25E0%25B4%259A%25E0%25B4%25A4%25E0%25B5%2581%25E0%25B4%25B0%25E0%25B4%2582" title="സമചതുരം – malayalam" lang="ml" hreflang="ml" data-title="സമചതുരം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li> <li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mn.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – mongol" lang="mn" hreflang="mn" data-title="Квадрат" data-language-autonym="Монгол" data-language-local-name="mongol" class="interlanguage-link-target"><span>Монгол</span></a></li> <li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mr.wikipedia.org/wiki/%25E0%25A4%259A%25E0%25A5%258C%25E0%25A4%25B0%25E0%25A4%25B8" title="चौरस – marathi" lang="mr" hreflang="mr" data-title="चौरस" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li> <li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ms.wikipedia.org/wiki/Segi_empat_sama" title="Segi empat sama – malais" lang="ms" hreflang="ms" data-title="Segi empat sama" data-language-autonym="Bahasa Melayu" data-language-local-name="malais" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li> <li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ne.wikipedia.org/wiki/%25E0%25A4%25B5%25E0%25A4%25B0%25E0%25A5%258D%25E0%25A4%2597_(%25E0%25A4%2586%25E0%25A4%2595%25E0%25A4%25BE%25E0%25A4%25B0)" title="वर्ग (आकार) – népalais" lang="ne" hreflang="ne" data-title="वर्ग (आकार)" data-language-autonym="नेपाली" data-language-local-name="népalais" class="interlanguage-link-target"><span>नेपाली</span></a></li> <li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nl.wikipedia.org/wiki/Vierkant" title="Vierkant – néerlandais" lang="nl" hreflang="nl" data-title="Vierkant" data-language-autonym="Nederlands" data-language-local-name="néerlandais" class="interlanguage-link-target"><span>Nederlands</span></a></li> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nn.wikipedia.org/wiki/Kvadrat" title="Kvadrat – norvégien nynorsk" lang="nn" hreflang="nn" data-title="Kvadrat" data-language-autonym="Norsk nynorsk" data-language-local-name="norvégien nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li> <li class="interlanguage-link interwiki-no mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://no.wikipedia.org/wiki/Kvadrat" title="Kvadrat – norvégien bokmål" lang="nb" hreflang="nb" data-title="Kvadrat" data-language-autonym="Norsk bokmål" data-language-local-name="norvégien bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li> <li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://oc.wikipedia.org/wiki/Cairat_(geometria)" title="Cairat (geometria) – occitan" lang="oc" hreflang="oc" data-title="Cairat (geometria)" data-language-autonym="Occitan" data-language-local-name="occitan" class="interlanguage-link-target"><span>Occitan</span></a></li> <li class="interlanguage-link interwiki-om mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://om.wikipedia.org/wiki/Arfakkuu" title="Arfakkuu – oromo" lang="om" hreflang="om" data-title="Arfakkuu" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li> <li class="interlanguage-link interwiki-os mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://os.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – ossète" lang="os" hreflang="os" data-title="Квадрат" data-language-autonym="Ирон" data-language-local-name="ossète" class="interlanguage-link-target"><span>Ирон</span></a></li> <li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pa.wikipedia.org/wiki/%25E0%25A8%25B5%25E0%25A8%25B0%25E0%25A8%2597" title="ਵਰਗ – pendjabi" lang="pa" hreflang="pa" data-title="ਵਰਗ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pendjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li> <li class="interlanguage-link interwiki-pfl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pfl.wikipedia.org/wiki/Quadrat_(Geometrie)" title="Quadrat (Geometrie) – allemand palatin" lang="pfl" hreflang="pfl" data-title="Quadrat (Geometrie)" data-language-autonym="Pälzisch" data-language-local-name="allemand palatin" class="interlanguage-link-target"><span>Pälzisch</span></a></li> <li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pl.wikipedia.org/wiki/Kwadrat" title="Kwadrat – polonais" lang="pl" hreflang="pl" data-title="Kwadrat" data-language-autonym="Polski" data-language-local-name="polonais" class="interlanguage-link-target"><span>Polski</span></a></li> <li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pms.wikipedia.org/wiki/Quadr%25C3%25A0" title="Quadrà – piémontais" lang="pms" hreflang="pms" data-title="Quadrà" data-language-autonym="Piemontèis" data-language-local-name="piémontais" class="interlanguage-link-target"><span>Piemontèis</span></a></li> <li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pnb.wikipedia.org/wiki/%25D9%2585%25D8%25B1%25D8%25A8%25D8%25B9" title="مربع – Western Punjabi" lang="pnb" hreflang="pnb" data-title="مربع" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li> <li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ps.wikipedia.org/wiki/%25DA%2585%25D9%2584%25D9%2588%25D8%25B1%25D9%258A%25DA%2581_(%25D9%2585%25DB%2590%25DA%2586%25D9%25BE%25D9%2588%25D9%2587%25D9%2586%25D9%2587)" title="څلوريځ (مېچپوهنه) – pachto" lang="ps" hreflang="ps" data-title="څلوريځ (مېچپوهنه)" data-language-autonym="پښتو" data-language-local-name="pachto" class="interlanguage-link-target"><span>پښتو</span></a></li> <li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Quadrado" title="Quadrado – portugais" lang="pt" hreflang="pt" data-title="Quadrado" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</span></a></li> <li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://qu.wikipedia.org/wiki/T%2527asra" title="T'asra – quechua" lang="qu" hreflang="qu" data-title="T'asra" data-language-autonym="Runa Simi" data-language-local-name="quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li> <li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ro.wikipedia.org/wiki/P%25C4%2583trat" title="Pătrat – roumain" lang="ro" hreflang="ro" data-title="Pătrat" data-language-autonym="Română" data-language-local-name="roumain" class="interlanguage-link-target"><span>Română</span></a></li> <li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ru.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – russe" lang="ru" hreflang="ru" data-title="Квадрат" data-language-autonym="Русский" data-language-local-name="russe" class="interlanguage-link-target"><span>Русский</span></a></li> <li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://rue.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582_(%25D2%2591%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D1%2596%25D1%258F)" title="Квадрат (ґеометрія) – ruthène" lang="rue" hreflang="rue" data-title="Квадрат (ґеометрія)" data-language-autonym="Русиньскый" data-language-local-name="ruthène" class="interlanguage-link-target"><span>Русиньскый</span></a></li> <li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://scn.wikipedia.org/wiki/Quatratu" title="Quatratu – sicilien" lang="scn" hreflang="scn" data-title="Quatratu" data-language-autonym="Sicilianu" data-language-local-name="sicilien" class="interlanguage-link-target"><span>Sicilianu</span></a></li> <li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sco.wikipedia.org/wiki/Square" title="Square – écossais" lang="sco" hreflang="sco" data-title="Square" data-language-autonym="Scots" data-language-local-name="écossais" class="interlanguage-link-target"><span>Scots</span></a></li> <li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sd.wikipedia.org/wiki/%25DA%2586%25D9%2588%25D8%25B1%25D8%25B3" title="چورس – sindhi" lang="sd" hreflang="sd" data-title="چورس" data-language-autonym="سنڌي" data-language-local-name="sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li> <li class="interlanguage-link interwiki-se mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://se.wikipedia.org/wiki/Kvadr%25C3%25A1hta" title="Kvadráhta – same du Nord" lang="se" hreflang="se" data-title="Kvadráhta" data-language-autonym="Davvisámegiella" data-language-local-name="same du Nord" class="interlanguage-link-target"><span>Davvisámegiella</span></a></li> <li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sh.wikipedia.org/wiki/Kvadrat" title="Kvadrat – serbo-croate" lang="sh" hreflang="sh" data-title="Kvadrat" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croate" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li> <li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://simple.wikipedia.org/wiki/Square" title="Square – Simple English" lang="en-simple" hreflang="en-simple" data-title="Square" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li> <li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sk.wikipedia.org/wiki/%25C5%25A0tvorec" title="Štvorec – slovaque" lang="sk" hreflang="sk" data-title="Štvorec" data-language-autonym="Slovenčina" data-language-local-name="slovaque" class="interlanguage-link-target"><span>Slovenčina</span></a></li> <li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sl.wikipedia.org/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija) – slovène" lang="sl" hreflang="sl" data-title="Kvadrat (geometrija)" data-language-autonym="Slovenščina" data-language-local-name="slovène" class="interlanguage-link-target"><span>Slovenščina</span></a></li> <li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sn.wikipedia.org/wiki/Skweya" title="Skweya – shona" lang="sn" hreflang="sn" data-title="Skweya" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li> <li class="interlanguage-link interwiki-so mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://so.wikipedia.org/wiki/Labajibaarane" title="Labajibaarane – somali" lang="so" hreflang="so" data-title="Labajibaarane" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li> <li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sq.wikipedia.org/wiki/Katrori" title="Katrori – albanais" lang="sq" hreflang="sq" data-title="Katrori" data-language-autonym="Shqip" data-language-local-name="albanais" class="interlanguage-link-target"><span>Shqip</span></a></li> <li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sr.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – serbe" lang="sr" hreflang="sr" data-title="Квадрат" data-language-autonym="Српски / srpski" data-language-local-name="serbe" class="interlanguage-link-target"><span>Српски / srpski</span></a></li> <li class="interlanguage-link interwiki-su mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://su.wikipedia.org/wiki/Pasagi_bener" title="Pasagi bener – soundanais" lang="su" hreflang="su" data-title="Pasagi bener" data-language-autonym="Sunda" data-language-local-name="soundanais" class="interlanguage-link-target"><span>Sunda</span></a></li> <li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sv.wikipedia.org/wiki/Kvadrat" title="Kvadrat – suédois" lang="sv" hreflang="sv" data-title="Kvadrat" data-language-autonym="Svenska" data-language-local-name="suédois" class="interlanguage-link-target"><span>Svenska</span></a></li> <li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sw.wikipedia.org/wiki/Mraba" title="Mraba – swahili" lang="sw" hreflang="sw" data-title="Mraba" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li> <li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://szl.wikipedia.org/wiki/Kwadrat" title="Kwadrat – silésien" lang="szl" hreflang="szl" data-title="Kwadrat" data-language-autonym="Ślůnski" data-language-local-name="silésien" class="interlanguage-link-target"><span>Ślůnski</span></a></li> <li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ta.wikipedia.org/wiki/%25E0%25AE%259A%25E0%25AE%25A4%25E0%25AF%2581%25E0%25AE%25B0%25E0%25AE%25AE%25E0%25AF%258D" title="சதுரம் – tamoul" lang="ta" hreflang="ta" data-title="சதுரம்" data-language-autonym="தமிழ்" data-language-local-name="tamoul" class="interlanguage-link-target"><span>தமிழ்</span></a></li> <li class="interlanguage-link interwiki-te mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://te.wikipedia.org/wiki/%25E0%25B0%259A%25E0%25B0%25A4%25E0%25B1%2581%25E0%25B0%25B0%25E0%25B0%25B8%25E0%25B1%258D%25E0%25B0%25B0%25E0%25B0%2582" title="చతురస్రం – télougou" lang="te" hreflang="te" data-title="చతురస్రం" data-language-autonym="తెలుగు" data-language-local-name="télougou" class="interlanguage-link-target"><span>తెలుగు</span></a></li> <li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tg.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – tadjik" lang="tg" hreflang="tg" data-title="Квадрат" data-language-autonym="Тоҷикӣ" data-language-local-name="tadjik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li> <li class="interlanguage-link interwiki-th mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://th.wikipedia.org/wiki/%25E0%25B8%25A3%25E0%25B8%25B9%25E0%25B8%259B%25E0%25B8%25AA%25E0%25B8%25B5%25E0%25B9%2588%25E0%25B9%2580%25E0%25B8%25AB%25E0%25B8%25A5%25E0%25B8%25B5%25E0%25B9%2588%25E0%25B8%25A2%25E0%25B8%25A1%25E0%25B8%2588%25E0%25B8%25B1%25E0%25B8%2595%25E0%25B8%25B8%25E0%25B8%25A3%25E0%25B8%25B1%25E0%25B8%25AA" title="รูปสี่เหลี่ยมจัตุรัส – thaï" lang="th" hreflang="th" data-title="รูปสี่เหลี่ยมจัตุรัส" data-language-autonym="ไทย" data-language-local-name="thaï" class="interlanguage-link-target"><span>ไทย</span></a></li> <li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tl.wikipedia.org/wiki/Parisukat" title="Parisukat – tagalog" lang="tl" hreflang="tl" data-title="Parisukat" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li> <li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tr.wikipedia.org/wiki/Kare" title="Kare – turc" lang="tr" hreflang="tr" data-title="Kare" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li> <li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tt.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – tatar" lang="tt" hreflang="tt" data-title="Квадрат" data-language-autonym="Татарча / tatarça" data-language-local-name="tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li> <li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uk.wikipedia.org/wiki/%25D0%259A%25D0%25B2%25D0%25B0%25D0%25B4%25D1%2580%25D0%25B0%25D1%2582" title="Квадрат – ukrainien" lang="uk" hreflang="uk" data-title="Квадрат" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li> <li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ur.wikipedia.org/wiki/%25D9%2585%25D8%25B1%25D8%25A8%25D8%25B9_(%25DB%2581%25D9%2586%25D8%25AF%25D8%25B3%25DB%2581)" title="مربع (ہندسہ) – ourdou" lang="ur" hreflang="ur" data-title="مربع (ہندسہ)" data-language-autonym="اردو" data-language-local-name="ourdou" class="interlanguage-link-target"><span>اردو</span></a></li> <li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uz.wikipedia.org/wiki/Kvadrat" title="Kvadrat – ouzbek" lang="uz" hreflang="uz" data-title="Kvadrat" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ouzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li> <li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vec.wikipedia.org/wiki/Quadrato" title="Quadrato – vénitien" lang="vec" hreflang="vec" data-title="Quadrato" data-language-autonym="Vèneto" data-language-local-name="vénitien" class="interlanguage-link-target"><span>Vèneto</span></a></li> <li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vi.wikipedia.org/wiki/H%25C3%25ACnh_vu%25C3%25B4ng" title="Hình vuông – vietnamien" lang="vi" hreflang="vi" data-title="Hình vuông" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamien" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> <li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vls.wikipedia.org/wiki/Vierkant" title="Vierkant – flamand occidental" lang="vls" hreflang="vls" data-title="Vierkant" data-language-autonym="West-Vlams" data-language-local-name="flamand occidental" class="interlanguage-link-target"><span>West-Vlams</span></a></li> <li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://wa.wikipedia.org/wiki/Cw%25C3%25A5r%25C3%25A9" title="Cwåré – wallon" lang="wa" hreflang="wa" data-title="Cwåré" data-language-autonym="Walon" data-language-local-name="wallon" class="interlanguage-link-target"><span>Walon</span></a></li> <li class="interlanguage-link interwiki-war mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://war.wikipedia.org/wiki/Kwatro_kantos" title="Kwatro kantos – waray" lang="war" hreflang="war" data-title="Kwatro kantos" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li> <li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://wuu.wikipedia.org/wiki/%25E6%25AD%25A3%25E6%2596%25B9%25E5%25BD%25A2" title="正方形 – wu" lang="wuu" hreflang="wuu" data-title="正方形" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li> <li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://xh.wikipedia.org/wiki/I-square" title="I-square – xhosa" lang="xh" hreflang="xh" data-title="I-square" data-language-autonym="IsiXhosa" data-language-local-name="xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li> <li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://xmf.wikipedia.org/wiki/%25E1%2583%2599%25E1%2583%2595%25E1%2583%2590%25E1%2583%2593%25E1%2583%25A0%25E1%2583%2590%25E1%2583%25A2%25E1%2583%2598" title="კვადრატი – mingrélien" lang="xmf" hreflang="xmf" data-title="კვადრატი" data-language-autonym="მარგალური" data-language-local-name="mingrélien" class="interlanguage-link-target"><span>მარგალური</span></a></li> <li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://yi.wikipedia.org/wiki/%25D7%25A7%25D7%2595%25D7%2595%25D7%2590%25D7%2593%25D7%25A8%25D7%2590%25D7%2598" title="קוואדראט – yiddish" lang="yi" hreflang="yi" data-title="קוואדראט" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li> <li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://yo.wikipedia.org/wiki/Al%25E1%25BB%258D%25CC%2581pom%25C3%25A9j%25C3%25AC" title="Alọ́poméjì – yoruba" lang="yo" hreflang="yo" data-title="Alọ́poméjì" data-language-autonym="Yorùbá" data-language-local-name="yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li> <li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zgh.wikipedia.org/wiki/%25E2%25B4%25B0%25E2%25B5%258E%25E2%25B4%25BD%25E2%25B4%25BD%25E2%25B5%2593%25E2%25B5%25A5" title="ⴰⵎⴽⴽⵓⵥ – amazighe standard marocain" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴽⴽⵓⵥ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="amazighe standard marocain" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li> <li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh.wikipedia.org/wiki/%25E6%25AD%25A3%25E6%2596%25B9%25E5%25BD%25A2" title="正方形 – chinois" lang="zh" hreflang="zh" data-title="正方形" data-language-autonym="中文" data-language-local-name="chinois" class="interlanguage-link-target"><span>中文</span></a></li> <li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-classical.wikipedia.org/wiki/%25E6%25AD%25A3%25E6%2596%25B9%25E5%25BD%25A2" title="正方形 – chinois littéraire" lang="lzh" hreflang="lzh" data-title="正方形" data-language-autonym="文言" data-language-local-name="chinois littéraire" class="interlanguage-link-target"><span>文言</span></a></li> <li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-min-nan.wikipedia.org/wiki/Ch%25C3%25A8ng-hong-h%25C3%25AAng" title="Chèng-hong-hêng – minnan" lang="nan" hreflang="nan" data-title="Chèng-hong-hêng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li> <li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-yue.wikipedia.org/wiki/%25E6%25AD%25A3%25E6%2596%25B9%25E5%25BD%25A2" title="正方形 – cantonais" lang="yue" hreflang="yue" data-title="正方形" data-language-autonym="粵語" data-language-local-name="cantonais" class="interlanguage-link-target"><span>粵語</span></a></li> <li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zu.wikipedia.org/wiki/IGcagcane" title="IGcagcane – zoulou" lang="zu" hreflang="zu" data-title="IGcagcane" data-language-autonym="IsiZulu" data-language-local-name="zoulou" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> </section> </div> <div class="minerva-footer-logo"> <img src="/static/images/mobile/copyright/wikipedia-wordmark-fr.svg" alt="Wikipédia" width="119" height="18" style="width: 7.4375em; height: 1.125em;"> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> <li 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