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aria-label="Indice" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Indice</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">nascondi</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inizio</div> </a> </li> <li id="toc-Confronto_con_altre_figure_geometriche" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Confronto_con_altre_figure_geometriche"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Confronto con altre figure geometriche</span> </div> </a> <ul id="toc-Confronto_con_altre_figure_geometriche-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Caratteristiche_principali_nella_geometria_euclidea" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Caratteristiche_principali_nella_geometria_euclidea"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Caratteristiche principali nella geometria euclidea</span> </div> </a> <ul id="toc-Caratteristiche_principali_nella_geometria_euclidea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Equazione_di_un_quadrato_su_un_piano_cartesiano" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Equazione_di_un_quadrato_su_un_piano_cartesiano"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Equazione di un quadrato su un piano cartesiano</span> </div> </a> <ul id="toc-Equazione_di_un_quadrato_su_un_piano_cartesiano-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Esistenza_del_quadrato" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Esistenza_del_quadrato"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Esistenza del quadrato</span> </div> </a> <ul id="toc-Esistenza_del_quadrato-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Costruzione" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Costruzione"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Costruzione</span> </div> </a> <ul id="toc-Costruzione-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voci_correlate" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voci_correlate"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Voci correlate</span> </div> </a> <ul id="toc-Voci_correlate-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Altri_progetti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Altri_progetti"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Altri progetti</span> </div> </a> <ul id="toc-Altri_progetti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Collegamenti_esterni" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collegamenti_esterni"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Indice" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Mostra/Nascondi l'indice" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Mostra/Nascondi l'indice</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Quadrato</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Vai a una voce in un'altra lingua. Disponibile in 145 lingue" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-145" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">145 lingue</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Vierkant" 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://als.wikipedia.org/wiki/Quadrat_(Geometrie)" title="Quadrat (Geometrie) - tedesco svizzero" lang="gsw" hreflang="gsw" data-title="Quadrat (Geometrie)" data-language-autonym="Alemannisch" data-language-local-name="tedesco svizzero" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Cuadrau" title="Cuadrau - aragonese" lang="an" hreflang="an" data-title="Cuadrau" data-language-autonym="Aragonés" data-language-local-name="aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B1%D8%A8%D8%B9" title="مربع - arabo" lang="ar" hreflang="ar" data-title="مربع" data-language-autonym="العربية" data-language-local-name="arabo" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%83%D8%A7%D8%B1%D9%88" title="كارو - arabo marocchino" lang="ary" hreflang="ary" data-title="كارو" data-language-autonym="الدارجة" data-language-local-name="arabo marocchino" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%85%D8%B1%D8%A8%D8%B9" title="مربع - arabo egiziano" lang="arz" hreflang="arz" data-title="مربع" data-language-autonym="مصرى" data-language-local-name="arabo egiziano" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AC%E0%A7%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A7%B0" title="বৰ্গক্ষেত্ৰ - assamese" lang="as" hreflang="as" data-title="বৰ্গক্ষেত্ৰ" data-language-autonym="অসমীয়া" data-language-local-name="assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Cuadr%C3%A1u" title="Cuadráu - asturiano" lang="ast" hreflang="ast" data-title="Cuadráu" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Pusi_k%27uchuni" 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://az.wikipedia.org/wiki/Kvadrat" title="Kvadrat - azerbaigiano" lang="az" hreflang="az" data-title="Kvadrat" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%85%D9%88%D8%B1%D8%A8%D8%B9" 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://ba.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - baschiro" lang="ba" hreflang="ba" data-title="Квадрат" data-language-autonym="Башҡортса" data-language-local-name="baschiro" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Kvadrots" title="Kvadrots - samogitico" lang="sgs" hreflang="sgs" data-title="Kvadrots" data-language-autonym="Žemaitėška" data-language-local-name="samogitico" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="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://be.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - bielorusso" lang="be" hreflang="be" data-title="Квадрат" data-language-autonym="Беларуская" data-language-local-name="bielorusso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" 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://bg.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - bulgaro" lang="bg" hreflang="bg" data-title="Квадрат" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AC%E0%A6%B0%E0%A7%8D%E0%A6%97%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0" title="বর্গক্ষেত্র - bengalese" lang="bn" hreflang="bn" data-title="বর্গক্ষেত্র" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%98%E0%BD%82%E0%BE%B2%E0%BD%B4%E0%BC%8B%E0%BD%96%E0%BD%9E%E0%BD%B2%E0%BC%8B%E0%BD%81%E0%BC%8B%E0%BD%82%E0%BD%84%E0%BC%8B%E0%BC%8D" title="མགྲུ་བཞི་ཁ་གང་། - tibetano" lang="bo" hreflang="bo" data-title="མགྲུ་བཞི་ཁ་གང་།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetano" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Karrez" title="Karrez - bretone" lang="br" hreflang="br" data-title="Karrez" data-language-autonym="Brezhoneg" data-language-local-name="bretone" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kvadrat" title="Kvadrat - bosniaco" lang="bs" hreflang="bs" data-title="Kvadrat" data-language-autonym="Bosanski" data-language-local-name="bosniaco" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Quadrat_(pol%C3%ADgon)" title="Quadrat (polígon) - catalano" lang="ca" hreflang="ca" data-title="Quadrat (polígon)" data-language-autonym="Català" data-language-local-name="catalano" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%86%D9%88%D8%A7%D8%B1%DA%AF%DB%86%D8%B4%DB%95" title="چوارگۆشە - curdo centrale" lang="ckb" hreflang="ckb" data-title="چوارگۆشە" data-language-autonym="کوردی" data-language-local-name="curdo centrale" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Murabba" title="Murabba - turco crimeo" lang="crh" hreflang="crh" data-title="Murabba" data-language-autonym="Qırımtatarca" data-language-local-name="turco crimeo" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C4%8Ctverec" title="Čtverec - ceco" lang="cs" hreflang="cs" data-title="Čtverec" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%C4%83%D0%B2%D0%B0%D1%82%D0%BA%D0%B0%D0%BB" title="Тăваткал - ciuvascio" lang="cv" hreflang="cv" data-title="Тăваткал" data-language-autonym="Чӑвашла" data-language-local-name="ciuvascio" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Sgw%C3%A2r" title="Sgwâr - gallese" lang="cy" hreflang="cy" data-title="Sgwâr" data-language-autonym="Cymraeg" data-language-local-name="gallese" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Kvadrat" title="Kvadrat - danese" lang="da" hreflang="da" data-title="Kvadrat" data-language-autonym="Dansk" data-language-local-name="danese" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Quadrat" title="Quadrat - tedesco" lang="de" hreflang="de" data-title="Quadrat" data-language-autonym="Deutsch" data-language-local-name="tedesco" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Kwadrat" title="Kwadrat - basso sorabo" lang="dsb" hreflang="dsb" data-title="Kwadrat" data-language-autonym="Dolnoserbski" data-language-local-name="basso sorabo" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CE%B5%CF%84%CF%81%CE%AC%CE%B3%CF%89%CE%BD%CE%BF" title="Τετράγωνο - greco" lang="el" hreflang="el" data-title="Τετράγωνο" data-language-autonym="Ελληνικά" data-language-local-name="greco" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Quadr%C3%AA_(giometr%C3%ACa)" 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://en.wikipedia.org/wiki/Square" title="Square - inglese" lang="en" hreflang="en" data-title="Square" data-language-autonym="English" data-language-local-name="inglese" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Kvadrato_(geometrio)" title="Kvadrato (geometrio) - esperanto" lang="eo" hreflang="eo" data-title="Kvadrato (geometrio)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cuadrado" title="Cuadrado - spagnolo" lang="es" hreflang="es" data-title="Cuadrado" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ruut" title="Ruut - estone" lang="et" hreflang="et" data-title="Ruut" data-language-autonym="Eesti" data-language-local-name="estone" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Karratu" title="Karratu - basco" lang="eu" hreflang="eu" data-title="Karratu" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%B1%D8%A8%D8%B9" title="مربع - persiano" lang="fa" hreflang="fa" data-title="مربع" data-language-autonym="فارسی" data-language-local-name="persiano" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Neli%C3%B6_(geometria)" title="Neliö (geometria) - finlandese" lang="fi" hreflang="fi" data-title="Neliö (geometria)" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Sikuea" title="Sikuea - figiano" lang="fj" hreflang="fj" data-title="Sikuea" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="figiano" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Carr%C3%A9" title="Carré - francese" lang="fr" hreflang="fr" data-title="Carré" data-language-autonym="Français" data-language-local-name="francese" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Kwadroot" title="Kwadroot - frisone settentrionale" lang="frr" hreflang="frr" data-title="Kwadroot" data-language-autonym="Nordfriisk" data-language-local-name="frisone settentrionale" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Cearn%C3%B3g" title="Cearnóg - irlandese" lang="ga" hreflang="ga" data-title="Cearnóg" data-language-autonym="Gaeilge" data-language-local-name="irlandese" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%96%B9%E5%BD%A2" 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://gl.wikipedia.org/wiki/Cadrado" title="Cadrado - galiziano" lang="gl" hreflang="gl" data-title="Cadrado" data-language-autonym="Galego" data-language-local-name="galiziano" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%9A%E0%AB%8B%E0%AA%B0%E0%AA%B8" title="ચોરસ - gujarati" lang="gu" hreflang="gu" data-title="ચોરસ" data-language-autonym="ગુજરાતી" data-language-local-name="gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Chang-f%C3%B4ng-h%C3%ACn" 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://he.wikipedia.org/wiki/%D7%A8%D7%99%D7%91%D7%95%D7%A2" title="ריבוע - ebraico" lang="he" hreflang="he" data-title="ריבוע" data-language-autonym="עברית" data-language-local-name="ebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%97%E0%A4%BE%E0%A4%95%E0%A4%BE%E0%A4%B0" 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://hr.wikipedia.org/wiki/Kvadrat" title="Kvadrat - croato" lang="hr" hreflang="hr" data-title="Kvadrat" data-language-autonym="Hrvatski" data-language-local-name="croato" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hsb mw-list-item"><a href="https://hsb.wikipedia.org/wiki/Kwadrat" title="Kwadrat - alto sorabo" lang="hsb" hreflang="hsb" data-title="Kwadrat" data-language-autonym="Hornjoserbsce" data-language-local-name="alto sorabo" class="interlanguage-link-target"><span>Hornjoserbsce</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Kare" title="Kare - creolo haitiano" lang="ht" hreflang="ht" data-title="Kare" data-language-autonym="Kreyòl ayisyen" data-language-local-name="creolo haitiano" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/N%C3%A9gyzet" title="Négyzet - ungherese" lang="hu" hreflang="hu" data-title="Négyzet" data-language-autonym="Magyar" data-language-local-name="ungherese" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%94%D5%A1%D5%BC%D5%A1%D5%AF%D5%B8%D6%82%D5%BD%D5%AB" title="Քառակուսի - armeno" lang="hy" hreflang="hy" data-title="Քառակուսի" data-language-autonym="Հայերեն" data-language-local-name="armeno" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="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://id.wikipedia.org/wiki/Persegi" title="Persegi - indonesiano" lang="id" hreflang="id" data-title="Persegi" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ik mw-list-item"><a href="https://ik.wikipedia.org/wiki/Ka%C5%8Bi%C4%A1allulik" title="Kaŋiġallulik - inupiak" lang="ik" hreflang="ik" data-title="Kaŋiġallulik" data-language-autonym="Iñupiatun" data-language-local-name="inupiak" class="interlanguage-link-target"><span>Iñupiatun</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Quadrato_(geometrio)" title="Quadrato (geometrio) - ido" lang="io" hreflang="io" data-title="Quadrato (geometrio)" 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://is.wikipedia.org/wiki/Ferningur" title="Ferningur - islandese" lang="is" hreflang="is" data-title="Ferningur" data-language-autonym="Íslenska" data-language-local-name="islandese" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形 - giapponese" lang="ja" hreflang="ja" data-title="正方形" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Skwier_(jaamichri)" title="Skwier (jaamichri) - creolo giamaicano" lang="jam" hreflang="jam" data-title="Skwier (jaamichri)" data-language-autonym="Patois" data-language-local-name="creolo giamaicano" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Pesagi" title="Pesagi - giavanese" lang="jv" hreflang="jv" data-title="Pesagi" data-language-autonym="Jawa" data-language-local-name="giavanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%95%E1%83%90%E1%83%93%E1%83%A0%E1%83%90%E1%83%A2%E1%83%98" title="კვადრატი - georgiano" lang="ka" hreflang="ka" data-title="კვადრატი" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kbd mw-list-item"><a href="https://kbd.wikipedia.org/wiki/%D0%97%D1%8D%D0%B1%D0%B3%D1%8A%D1%83%D0%B7%D1%8D%D0%BD%D0%B0%D1%82%D3%80%D1%8D" title="ЗэбгъузэнатӀэ - cabardino" lang="kbd" hreflang="kbd" data-title="ЗэбгъузэнатӀэ" data-language-autonym="Адыгэбзэ" data-language-local-name="cabardino" class="interlanguage-link-target"><span>Адыгэбзэ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A8%D0%B0%D1%80%D1%88%D1%8B" title="Шаршы - kazako" lang="kk" hreflang="kk" data-title="Шаршы" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9F%89%E1%9F%81" 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://ko.wikipedia.org/wiki/%EC%A0%95%EC%82%AC%EA%B0%81%ED%98%95" title="정사각형 - coreano" lang="ko" hreflang="ko" data-title="정사각형" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/%C3%87ar%C3%A7ik" title="Çarçik - curdo" lang="ku" hreflang="ku" data-title="Çarçik" data-language-autonym="Kurdî" data-language-local-name="curdo" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Pedrek" title="Pedrek - cornico" lang="kw" hreflang="kw" data-title="Pedrek" data-language-autonym="Kernowek" data-language-local-name="cornico" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - kirghiso" lang="ky" hreflang="ky" data-title="Квадрат" data-language-autonym="Кыргызча" data-language-local-name="kirghiso" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Quadrum" title="Quadrum - latino" lang="la" hreflang="la" data-title="Quadrum" data-language-autonym="Latina" data-language-local-name="latino" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="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://li.wikipedia.org/wiki/Veerkantj" title="Veerkantj - limburghese" lang="li" hreflang="li" data-title="Veerkantj" data-language-autonym="Limburgs" data-language-local-name="limburghese" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Quadr%C3%A0t_(geometr%C3%ACa)" title="Quadràt (geometrìa) - lombardo" lang="lmo" hreflang="lmo" data-title="Quadràt (geometrìa)" data-language-autonym="Lombard" data-language-local-name="lombardo" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%AE%E0%BA%B9%E0%BA%9A%E0%BA%88%E0%BA%B1%E0%BA%94%E0%BA%95%E0%BA%B8%E0%BA%A5%E0%BA%B1%E0%BA%94" 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://lt.wikipedia.org/wiki/Kvadratas" title="Kvadratas - lituano" lang="lt" hreflang="lt" data-title="Kvadratas" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Kvadr%C4%81ts" title="Kvadrāts - lettone" lang="lv" hreflang="lv" data-title="Kvadrāts" data-language-autonym="Latviešu" data-language-local-name="lettone" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82%D1%81%D1%8C" title="Квадратсь - moksha" lang="mdf" hreflang="mdf" data-title="Квадратсь" data-language-autonym="Мокшень" data-language-local-name="moksha" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Efamira" title="Efamira - malgascio" lang="mg" hreflang="mg" data-title="Efamira" data-language-autonym="Malagasy" data-language-local-name="malgascio" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_(%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9)" 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://mk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - macedone" lang="mk" hreflang="mk" data-title="Квадрат" data-language-autonym="Македонски" data-language-local-name="macedone" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B8%E0%B4%AE%E0%B4%9A%E0%B4%A4%E0%B5%81%E0%B4%B0%E0%B4%82" 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://mn.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - mongolo" lang="mn" hreflang="mn" data-title="Квадрат" data-language-autonym="Монгол" data-language-local-name="mongolo" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%9A%E0%A5%8C%E0%A4%B0%E0%A4%B8" 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://ms.wikipedia.org/wiki/Segi_empat_sama" title="Segi empat sama - malese" lang="ms" hreflang="ms" data-title="Segi empat sama" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%97_(%E0%A4%86%E0%A4%95%E0%A4%BE%E0%A4%B0)" title="वर्ग (आकार) - nepalese" lang="ne" hreflang="ne" data-title="वर्ग (आकार)" data-language-autonym="नेपाली" data-language-local-name="nepalese" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Vierkant" title="Vierkant - olandese" lang="nl" hreflang="nl" data-title="Vierkant" data-language-autonym="Nederlands" data-language-local-name="olandese" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kvadrat" title="Kvadrat - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Kvadrat" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kvadrat" title="Kvadrat - norvegese bokmål" lang="nb" hreflang="nb" data-title="Kvadrat" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Cairat_(geometria)" title="Cairat (geometria) - occitano" lang="oc" hreflang="oc" data-title="Cairat (geometria)" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="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://os.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - ossetico" lang="os" hreflang="os" data-title="Квадрат" data-language-autonym="Ирон" data-language-local-name="ossetico" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B5%E0%A8%B0%E0%A8%97" title="ਵਰਗ - punjabi" lang="pa" hreflang="pa" data-title="ਵਰਗ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pfl mw-list-item"><a href="https://pfl.wikipedia.org/wiki/Quadrat_(Geometrie)" title="Quadrat (Geometrie) - tedesco palatino" lang="pfl" hreflang="pfl" data-title="Quadrat (Geometrie)" data-language-autonym="Pälzisch" data-language-local-name="tedesco palatino" class="interlanguage-link-target"><span>Pälzisch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Kwadrat" title="Kwadrat - polacco" lang="pl" hreflang="pl" data-title="Kwadrat" data-language-autonym="Polski" data-language-local-name="polacco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Quadr%C3%A0" title="Quadrà - piemontese" lang="pms" hreflang="pms" data-title="Quadrà" data-language-autonym="Piemontèis" data-language-local-name="piemontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%D8%B1%D8%A8%D8%B9" 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://ps.wikipedia.org/wiki/%DA%85%D9%84%D9%88%D8%B1%D9%8A%DA%81_(%D9%85%DB%90%DA%86%D9%BE%D9%88%D9%87%D9%86%D9%87)" title="څلوريځ (مېچپوهنه) - pashto" lang="ps" hreflang="ps" data-title="څلوريځ (مېچپوهنه)" data-language-autonym="پښتو" data-language-local-name="pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Quadrado" title="Quadrado - portoghese" lang="pt" hreflang="pt" data-title="Quadrado" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/T%27asra" 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://ro.wikipedia.org/wiki/P%C4%83trat" title="Pătrat - rumeno" lang="ro" hreflang="ro" data-title="Pătrat" data-language-autonym="Română" data-language-local-name="rumeno" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - russo" lang="ru" hreflang="ru" data-title="Квадрат" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82_(%D2%91%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F)" title="Квадрат (ґеометрія) - ruteno" lang="rue" hreflang="rue" data-title="Квадрат (ґеометрія)" data-language-autonym="Русиньскый" data-language-local-name="ruteno" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Quatratu" title="Quatratu - siciliano" lang="scn" hreflang="scn" data-title="Quatratu" data-language-autonym="Sicilianu" data-language-local-name="siciliano" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Square" title="Square - scozzese" lang="sco" hreflang="sco" data-title="Square" data-language-autonym="Scots" data-language-local-name="scozzese" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%86%D9%88%D8%B1%D8%B3" 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://se.wikipedia.org/wiki/Kvadr%C3%A1hta" title="Kvadráhta - sami del nord" lang="se" hreflang="se" data-title="Kvadráhta" data-language-autonym="Davvisámegiella" data-language-local-name="sami del nord" class="interlanguage-link-target"><span>Davvisámegiella</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kvadrat" title="Kvadrat - serbo-croato" lang="sh" hreflang="sh" data-title="Kvadrat" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="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://sk.wikipedia.org/wiki/%C5%A0tvorec" title="Štvorec - slovacco" lang="sk" hreflang="sk" data-title="Štvorec" data-language-autonym="Slovenčina" data-language-local-name="slovacco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kvadrat_(geometrija)" title="Kvadrat (geometrija) - sloveno" lang="sl" hreflang="sl" data-title="Kvadrat (geometrija)" data-language-autonym="Slovenščina" data-language-local-name="sloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="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://so.wikipedia.org/wiki/Labajibaarane" title="Labajibaarane - somalo" lang="so" hreflang="so" data-title="Labajibaarane" data-language-autonym="Soomaaliga" data-language-local-name="somalo" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Katrori" title="Katrori - albanese" lang="sq" hreflang="sq" data-title="Katrori" data-language-autonym="Shqip" data-language-local-name="albanese" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - serbo" lang="sr" hreflang="sr" data-title="Квадрат" data-language-autonym="Српски / srpski" data-language-local-name="serbo" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Pasagi_bener" title="Pasagi bener - sundanese" lang="su" hreflang="su" data-title="Pasagi bener" data-language-autonym="Sunda" data-language-local-name="sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kvadrat" title="Kvadrat - svedese" lang="sv" hreflang="sv" data-title="Kvadrat" data-language-autonym="Svenska" data-language-local-name="svedese" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="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://szl.wikipedia.org/wiki/Kwadrat" title="Kwadrat - slesiano" lang="szl" hreflang="szl" data-title="Kwadrat" data-language-autonym="Ślůnski" data-language-local-name="slesiano" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AE%A4%E0%AF%81%E0%AE%B0%E0%AE%AE%E0%AF%8D" title="சதுரம் - tamil" lang="ta" hreflang="ta" data-title="சதுரம்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%9A%E0%B0%A4%E0%B1%81%E0%B0%B0%E0%B0%B8%E0%B1%8D%E0%B0%B0%E0%B0%82" title="చతురస్రం - telugu" lang="te" hreflang="te" data-title="చతురస్రం" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - tagico" lang="tg" hreflang="tg" data-title="Квадрат" data-language-autonym="Тоҷикӣ" data-language-local-name="tagico" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%9B%E0%B8%AA%E0%B8%B5%E0%B9%88%E0%B9%80%E0%B8%AB%E0%B8%A5%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A1%E0%B8%88%E0%B8%B1%E0%B8%95%E0%B8%B8%E0%B8%A3%E0%B8%B1%E0%B8%AA" title="รูปสี่เหลี่ยมจัตุรัส - thailandese" lang="th" hreflang="th" data-title="รูปสี่เหลี่ยมจัตุรัส" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="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://tr.wikipedia.org/wiki/Kare" title="Kare - turco" lang="tr" hreflang="tr" data-title="Kare" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - tataro" lang="tt" hreflang="tt" data-title="Квадрат" data-language-autonym="Татарча / tatarça" data-language-local-name="tataro" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%B4%D1%80%D0%B0%D1%82" title="Квадрат - ucraino" lang="uk" hreflang="uk" data-title="Квадрат" data-language-autonym="Українська" data-language-local-name="ucraino" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%B1%D8%A8%D8%B9_(%DB%81%D9%86%D8%AF%D8%B3%DB%81)" title="مربع (ہندسہ) - urdu" lang="ur" hreflang="ur" data-title="مربع (ہندسہ)" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kvadrat" title="Kvadrat - uzbeco" lang="uz" hreflang="uz" data-title="Kvadrat" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeco" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Quadrato" title="Quadrato - veneto" lang="vec" hreflang="vec" data-title="Quadrato" data-language-autonym="Vèneto" data-language-local-name="veneto" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_vu%C3%B4ng" title="Hình vuông - vietnamita" lang="vi" hreflang="vi" data-title="Hình vuông" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Vierkant" title="Vierkant - fiammingo occidentale" lang="vls" hreflang="vls" data-title="Vierkant" data-language-autonym="West-Vlams" data-language-local-name="fiammingo occidentale" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Cw%C3%A5r%C3%A9" title="Cwåré - vallone" lang="wa" hreflang="wa" data-title="Cwåré" data-language-autonym="Walon" data-language-local-name="vallone" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="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://wuu.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" 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://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://xmf.wikipedia.org/wiki/%E1%83%99%E1%83%95%E1%83%90%E1%83%93%E1%83%A0%E1%83%90%E1%83%A2%E1%83%98" title="კვადრატი - mengrelio" lang="xmf" hreflang="xmf" data-title="კვადრატი" data-language-autonym="მარგალური" data-language-local-name="mengrelio" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A7%D7%95%D7%95%D7%90%D7%93%D7%A8%D7%90%D7%98" 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://yo.wikipedia.org/wiki/Al%E1%BB%8D%CC%81pom%C3%A9j%C3%AC" 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://zgh.wikipedia.org/wiki/%E2%B4%B0%E2%B5%8E%E2%B4%BD%E2%B4%BD%E2%B5%93%E2%B5%A5" title="ⴰⵎⴽⴽⵓⵥ - tamazight del Marocco standard" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴽⴽⵓⵥ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="tamazight del Marocco standard" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形 - cinese" lang="zh" hreflang="zh" data-title="正方形" data-language-autonym="中文" data-language-local-name="cinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形 - cinese classico" lang="lzh" hreflang="lzh" data-title="正方形" data-language-autonym="文言" data-language-local-name="cinese classico" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Ch%C3%A8ng-hong-h%C3%AAng" title="Chèng-hong-hêng - min nan" lang="nan" hreflang="nan" data-title="Chèng-hong-hêng" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min nan" 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://zh-yue.wikipedia.org/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形 - cantonese" lang="yue" hreflang="yue" data-title="正方形" data-language-autonym="粵語" data-language-local-name="cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/IGcagcane" title="IGcagcane - zulu" lang="zu" hreflang="zu" 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id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r130658281">body:not(.skin-minerva) .mw-parser-output .hatnote.nota-disambigua{clear:both;margin-top:0;padding:.05em .5em}</style> <style data-mw-deduplicate="TemplateStyles:r139142988">.mw-parser-output .hatnote-content{align-items:center;display:flex}.mw-parser-output .hatnote-icon{flex-shrink:0}.mw-parser-output .hatnote-icon img{display:flex}.mw-parser-output .hatnote-text{font-style:italic}body:not(.skin-minerva) .mw-parser-output .hatnote{border:1px solid #CCC;display:flex;margin:.5em 0;padding:.2em .5em}body:not(.skin-minerva) .mw-parser-output .hatnote-text{padding-left:.5em}body.skin-minerva .mw-parser-output .hatnote-icon{padding-right:8px}body.skin-minerva .mw-parser-output .hatnote-icon img{height:auto;width:16px}body.skin--responsive .mw-parser-output .hatnote a.new{color:#d73333}body.skin--responsive .mw-parser-output .hatnote a.new:visited{color:#a55858}</style> <div class="hatnote noprint nota-disambigua"> <div class="hatnote-content"><span class="noviewer hatnote-icon" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Nota_disambigua.svg/18px-Nota_disambigua.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Nota_disambigua.svg/27px-Nota_disambigua.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Nota_disambigua.svg/36px-Nota_disambigua.svg.png 2x" data-file-width="200" data-file-height="200" /></span></span> <span class="hatnote-text"><a href="/wiki/Aiuto:Disambiguazione" title="Aiuto:Disambiguazione">Disambiguazione</a> – Se stai cercando altri significati, vedi <b><a href="/wiki/Quadrato_(disambigua)" class="mw-disambig" title="Quadrato (disambigua)">Quadrato (disambigua)</a></b>.</span></div> </div> <style data-mw-deduplicate="TemplateStyles:r133964453">.mw-parser-output .avviso .mbox-text-div>div,.mw-parser-output .avviso .mbox-text-full-div>div{font-size:90%}.mw-parser-output .avviso .mbox-image{flex-basis:52px;flex-grow:0;flex-shrink:0}.mw-parser-output .avviso .mbox-text-full-div .hide-when-compact{display:block}</style><div style="" class="ambox metadata plainlinks avviso avviso-contenuto"> <div class="avviso-immagine mbox-image noprint"><span typeof="mw:File"><a href="/wiki/File:Question_book-4.svg" class="mw-file-description" title="Niente fonti!"><img alt="Niente fonti!" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/45px-Question_book-4.svg.png" decoding="async" width="45" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/68px-Question_book-4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Question_book-4.svg/90px-Question_book-4.svg.png 2x" data-file-width="262" data-file-height="204" /></a></span></div> <div class="avviso-testo mbox-text"> <div class="mbox-text-div"><b>Questa voce o sezione  sull'argomento geometria <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">non cita le fonti necessarie</a> o quelle presenti sono insufficienti</b>. <div class="hide-when-compact"> <div class="noprint"><hr />Puoi <a class="external text" href="https://it.wikipedia.org/w/index.php?title=Quadrato&action=edit">migliorare questa voce</a> aggiungendo citazioni da <a href="/wiki/Wikipedia:Fonti_attendibili" title="Wikipedia:Fonti attendibili">fonti attendibili</a> secondo le <a href="/wiki/Wikipedia:Uso_delle_fonti" title="Wikipedia:Uso delle fonti">linee guida sull'uso delle fonti</a>. Segui i suggerimenti del <a href="/wiki/Progetto:Geometria" class="mw-redirect" title="Progetto:Geometria">progetto di riferimento</a>.</div> </div> </div> </div> </div> <figure typeof="mw:File/Frame"><a href="/wiki/File:Carre.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/334px-Carre.svg.png" decoding="async" width="334" height="337" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/501px-Carre.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Carre.svg/668px-Carre.svg.png 2x" data-file-width="334" data-file-height="337" /></a><figcaption>Rappresentazione di quadrato nella <a href="/wiki/Geometria_euclidea" title="Geometria euclidea">geometria euclidea</a>.</figcaption></figure> <p>Un <b>quadrato</b>, in <a href="/wiki/Geometria" title="Geometria">geometria</a>, è un <a href="/wiki/Quadrilatero" title="Quadrilatero">quadrilatero</a> <a href="/wiki/Poligono_regolare" title="Poligono regolare">regolare</a>, cioè un <a href="/wiki/Poligono" title="Poligono">poligono</a> con quattro <a href="/wiki/Lato_(geometria)" title="Lato (geometria)">lati</a> e quattro <a href="/wiki/Angolo" title="Angolo">angoli</a> congruenti. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Confronto_con_altre_figure_geometriche">Confronto con altre figure geometriche</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=1" title="Modifica la sezione Confronto con altre figure geometriche" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=1" title="Edit section's source code: Confronto con altre figure geometriche"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il quadrato è un caso particolare di <a href="/wiki/Rombo_(geometria)" title="Rombo (geometria)">rombo</a> (in quanto ha tutti e quattro i lati congruenti) e di <a href="/wiki/Rettangolo" title="Rettangolo">rettangolo</a> (in quanto ha quattro angoli congruenti) quindi è un caso particolare di <a href="/wiki/Parallelogramma" title="Parallelogramma">parallelogramma</a> (in quanto ha i lati a due a due paralleli). </p> <div class="mw-heading mw-heading2"><h2 id="Caratteristiche_principali_nella_geometria_euclidea">Caratteristiche principali nella geometria euclidea</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=2" title="Modifica la sezione Caratteristiche principali nella geometria euclidea" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=2" title="Edit section's source code: Caratteristiche principali nella geometria euclidea"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Le <a href="/wiki/Diagonale" title="Diagonale">diagonali</a> di un quadrato euclideo sono congruenti e perpendicolari, il loro punto di intersezione le divide a metà e misurano come il lato moltiplicato per la <a href="/wiki/Radice_quadrata_di_2" title="Radice quadrata di 2">radice quadrata di 2</a>: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mbox{diagonale}}={\mbox{lato}}\cdot {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>diagonale</mtext> </mstyle> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>lato</mtext> </mstyle> </mrow> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mbox{diagonale}}={\mbox{lato}}\cdot {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3690bdc29c2a4dde73a6a0b3860b0dbb73e7d4a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:21.313ex; height:3.009ex;" alt="{\displaystyle {\mbox{diagonale}}={\mbox{lato}}\cdot {\sqrt {2}}}"></span></dd></dl> <p>Questa formula si dimostra con il <a href="/wiki/Teorema_di_Pitagora" title="Teorema di Pitagora">teorema di Pitagora</a>. Ciascuna diagonale, infatti, divide il quadrato in due <a href="/wiki/Triangolo" title="Triangolo">triangoli</a> rettangoli per i quali vale che la somma dei quadrati costruiti sui <a href="/wiki/Cateto" title="Cateto">cateti</a> è equivalente al quadrato costruito sull'<a href="/wiki/Ipotenusa" title="Ipotenusa">ipotenusa</a> (che è la <a href="/wiki/Diagonale" title="Diagonale">diagonale</a>). </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle AC={\sqrt {AD^{2}+CD^{2}}}={\sqrt {l^{2}+l^{2}}}={\sqrt {2\cdot l^{2}}}=l\cdot {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mi>C</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>A</mi> <msup> <mi>D</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>C</mi> <msup> <mi>D</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <mo>⋅</mo> <msup> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mi>l</mi> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle AC={\sqrt {AD^{2}+CD^{2}}}={\sqrt {l^{2}+l^{2}}}={\sqrt {2\cdot l^{2}}}=l\cdot {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a4f66b2e42e1a28110a713327eca1e249b348446" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:51.577ex; height:3.509ex;" alt="{\displaystyle AC={\sqrt {AD^{2}+CD^{2}}}={\sqrt {l^{2}+l^{2}}}={\sqrt {2\cdot l^{2}}}=l\cdot {\sqrt {2}}}"></span>.</dd></dl> <p>Il perimetro di un quadrato, visto che ha tutti i lati congruenti, misura: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mbox{lato}}\cdot 4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>lato</mtext> </mstyle> </mrow> <mo>⋅</mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mbox{lato}}\cdot 4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f081f587aa6194f279165f4fbfb9ef6fcd72dca2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.718ex; height:2.176ex;" alt="{\displaystyle {\mbox{lato}}\cdot 4}"></span></dd></dl> <p>L'area di un quadrato, visto che l'altezza e la base sono congruenti, misura: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mbox{lato}}^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>lato</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mbox{lato}}^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df43772a25ac20a599629d53591921308d3e4691" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.931ex; height:2.676ex;" alt="{\displaystyle {\mbox{lato}}^{2}}"></span></dd></dl> <p>ma si può calcolare anche come </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {{\mbox{diagonale}}^{2}}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>diagonale</mtext> </mstyle> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {{\mbox{diagonale}}^{2}}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4021e53e95ea4d3bd84939540d28a0aca67b8265" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.451ex; height:5.843ex;" alt="{\displaystyle {\frac {{\mbox{diagonale}}^{2}}{2}}}"></span> per il <a href="/wiki/Teorema_di_Pitagora" title="Teorema di Pitagora">teorema di Pitagora</a>.</dd></dl> <p>Da ciò si deduce che la diagonale di un quadrato di area <b>a</b> è il lato del quadrato con Area <b>2a</b>. </p><p>Il quadrato possiede 4 assi di simmetria: 2 passanti per una coppia di vertici opposti e 2 passanti per una coppia di punti medi dei lati. </p><p>Il punto di intersezione delle due diagonali è detto <b>centro del quadrato</b> ed è centro di <a href="/wiki/Simmetria_(matematica)" title="Simmetria (matematica)">simmetria</a> di <a href="/wiki/Rotazione_(matematica)" title="Rotazione (matematica)">rotazione</a> e di <a href="/wiki/Simmetria_centrale_(matematica)" class="mw-redirect" title="Simmetria centrale (matematica)">simmetria centrale</a> per il quadrato. L'ordine della simmetria di rotazione del quadrato è 4; in altre parole, il quadrato è invariante per le rotazioni intorno al suo centro relative agli angoli <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 k{\frac {\pi }{2}}{\mbox{rad}}=k90^{\circ }{\mbox{ per }}k=0,1,2,3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>rad</mtext> </mstyle> </mrow> <mo>=</mo> <mi>k</mi> <msup> <mn>90</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>∘</mo> </mrow> </msup> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext> per </mtext> </mstyle> </mrow> <mi>k</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k{\frac {\pi }{2}}{\mbox{rad}}=k90^{\circ }{\mbox{ per }}k=0,1,2,3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/073ee43d2d5e758f50686c715792fc2cb7ec12ce" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:30.894ex; height:4.676ex;" alt="{\displaystyle k{\frac {\pi }{2}}{\mbox{rad}}=k90^{\circ }{\mbox{ per }}k=0,1,2,3}"></span>; naturalmente la rotazione di <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 \,\pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,\pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0fd28f114435146b0728cbd8805af448fa8ff1e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.719ex; height:1.676ex;" alt="{\displaystyle \,\pi }"></span> <a href="/wiki/Radiante" title="Radiante">radianti</a> è la simmetria centrale. </p> <div class="mw-heading mw-heading2"><h2 id="Equazione_di_un_quadrato_su_un_piano_cartesiano">Equazione di un quadrato su un piano cartesiano</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=3" title="Modifica la sezione Equazione di un quadrato su un piano cartesiano" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=3" title="Edit section's source code: Equazione di un quadrato su un piano cartesiano"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il quadrato <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 Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.838ex; height:2.509ex;" alt="{\displaystyle Q}"></span> di lato 2 e centro l'origine può essere descritto in vari modi. Ad esempio: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q={\big \{}(x,y)\ {\big |}\ |x|\leq 1,|y|\leq 1{\big \}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">{</mo> </mrow> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">}</mo> </mrow> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q={\big \{}(x,y)\ {\big |}\ |x|\leq 1,|y|\leq 1{\big \}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7f1cfeb534e709b0deee9d8cef0ac835c77c54e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:30.059ex; height:3.176ex;" alt="{\displaystyle Q={\big \{}(x,y)\ {\big |}\ |x|\leq 1,|y|\leq 1{\big \}}.}"></span></dd></dl> <p>Il suo bordo è quindi </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ |x|=1,|y|\leq 1\}\cup \{(x,y)\ |\ |y|=1,|x|\leq 1{\big \}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∂</mi> <mi>Q</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">{</mo> </mrow> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mo fence="false" stretchy="false">}</mo> <mo>∪</mo> <mo fence="false" stretchy="false">{</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">}</mo> </mrow> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ |x|=1,|y|\leq 1\}\cup \{(x,y)\ |\ |y|=1,|x|\leq 1{\big \}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/330d3fb0636313a9c4884a343096fbf6b4525656" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:58.049ex; height:3.176ex;" alt="{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ |x|=1,|y|\leq 1\}\cup \{(x,y)\ |\ |y|=1,|x|\leq 1{\big \}}.}"></span></dd></dl> <p>Questo può essere anche descritto come </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ 0<\lim _{n\rightarrow \infty }x^{2n}+y^{2n}<\infty {\big \}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∂</mi> <mi>Q</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">{</mo> </mrow> </mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mtext> </mtext> <mn>0</mn> <mo><</mo> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo stretchy="false">→</mo> <mi mathvariant="normal">∞</mi> </mrow> </munder> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>n</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mi>n</mi> </mrow> </msup> <mo><</mo> <mi mathvariant="normal">∞</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">}</mo> </mrow> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ 0<\lim _{n\rightarrow \infty }x^{2n}+y^{2n}<\infty {\big \}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16516fca7b771bd715a4fd5fde5bcb13bf07d531" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:40.503ex; height:4.176ex;" alt="{\displaystyle \partial Q={\big \{}(x,y)\ {\big |}\ 0<\lim _{n\rightarrow \infty }x^{2n}+y^{2n}<\infty {\big \}}.}"></span> In <a href="/wiki/Matematica" title="Matematica">matematica</a>, questo quadrato rappresenta la <a href="/wiki/Sfera_unitaria" title="Sfera unitaria">palla unitaria</a> del piano rispetto alla <a href="/wiki/Norma_uniforme" title="Norma uniforme">norma uniforme</a>.</dd></dl> <p>Più in generale, l'equazione cartesiana di un quadrato avente centro nell'origine degli assi è: <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 Q:{\big |}ax+by|+|bx-ay|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mi>a</mi> <mi>x</mi> <mo>+</mo> <mi>b</mi> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>b</mi> <mi>x</mi> <mo>−</mo> <mi>a</mi> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mo>,</mo> <mspace width="1em" /> <mtext> </mtext> <mi>a</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> <mtext> </mtext> <mo>∨</mo> <mtext> </mtext> <mi>b</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q:{\big |}ax+by|+|bx-ay|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f66a2be9a14fd76fef6c20cae3693a541ae7ee0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:48.162ex; height:3.176ex;" alt="{\displaystyle Q:{\big |}ax+by|+|bx-ay|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"></span> </p><p>Se si considera invece il centro del quadrato nel punto di coordinate <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 {\big (}x_{0},y_{0})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">(</mo> </mrow> </mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\big (}x_{0},y_{0})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c52e9ec7e02f54c754f5849e2d8226be2f687f7a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:7.581ex; height:3.176ex;" alt="{\displaystyle {\big (}x_{0},y_{0})}"></span> l'equazione diventa: </p><p><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 Q:{\big |}a(x-x_{0})+b(y-y_{0})|+|b(x-x_{0})-a(y-y_{0})|\leq 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>+</mo> <mi>b</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>b</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo>−</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q:{\big |}a(x-x_{0})+b(y-y_{0})|+|b(x-x_{0})-a(y-y_{0})|\leq 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fdb6aad716f9573de17b83805d50e28a4571bbfb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:56.324ex; height:3.176ex;" alt="{\displaystyle Q:{\big |}a(x-x_{0})+b(y-y_{0})|+|b(x-x_{0})-a(y-y_{0})|\leq 1}"></span> </p><p>da cui: </p><p><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 Q:{\big |}ax+by-ax_{0}-by_{0}|+|bx-ay-bx_{0}+ay_{0}|\leq 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mi>a</mi> <mi>x</mi> <mo>+</mo> <mi>b</mi> <mi>y</mi> <mo>−</mo> <mi>a</mi> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>−</mo> <mi>b</mi> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>b</mi> <mi>x</mi> <mo>−</mo> <mi>a</mi> <mi>y</mi> <mo>−</mo> <mi>b</mi> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <mi>a</mi> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q:{\big |}ax+by-ax_{0}-by_{0}|+|bx-ay-bx_{0}+ay_{0}|\leq 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/868dda01b1185aa9fa4c9c428fb6dd167041509a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:53.541ex; height:3.176ex;" alt="{\displaystyle Q:{\big |}ax+by-ax_{0}-by_{0}|+|bx-ay-bx_{0}+ay_{0}|\leq 1}"></span> </p><p>ovvero nella forma più generale possibile: </p><p><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 Q:{\big |}ax+by+p|+|bx-ay+q|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mi>a</mi> <mi>x</mi> <mo>+</mo> <mi>b</mi> <mi>y</mi> <mo>+</mo> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>b</mi> <mi>x</mi> <mo>−</mo> <mi>a</mi> <mi>y</mi> <mo>+</mo> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>≤</mo> <mn>1</mn> <mo>,</mo> <mspace width="1em" /> <mtext> </mtext> <mi>a</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> <mtext> </mtext> <mo>∨</mo> <mtext> </mtext> <mi>b</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q:{\big |}ax+by+p|+|bx-ay+q|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f50470ba8cc9910a5ceefc29f6fbf5952eb2e3df" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:56.081ex; height:3.176ex;" alt="{\displaystyle Q:{\big |}ax+by+p|+|bx-ay+q|\leq 1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"></span> </p><p>Il cui bordo è quindi: </p><p><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 Q:{\big |}ax+by+p|+|bx-ay+q|=1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.2em" minsize="1.2em">|</mo> </mrow> </mrow> <mi>a</mi> <mi>x</mi> <mo>+</mo> <mi>b</mi> <mi>y</mi> <mo>+</mo> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>b</mi> <mi>x</mi> <mo>−</mo> <mi>a</mi> <mi>y</mi> <mo>+</mo> <mi>q</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mspace width="1em" /> <mtext> </mtext> <mi>a</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> <mtext> </mtext> <mo>∨</mo> <mtext> </mtext> <mi>b</mi> <mo>≠</mo> <mtext> </mtext> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q:{\big |}ax+by+p|+|bx-ay+q|=1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6935c86a257eaa80ece34464f9aa6a78bcc6e02f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:56.081ex; height:3.176ex;" alt="{\displaystyle Q:{\big |}ax+by+p|+|bx-ay+q|=1,\quad \ a\neq \ 0\ \lor \ b\neq \ 0}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Esistenza_del_quadrato">Esistenza del quadrato</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=4" title="Modifica la sezione Esistenza del quadrato" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=4" title="Edit section's source code: Esistenza del quadrato"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Quadrato_iperbolico.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Quadrato_iperbolico.svg/220px-Quadrato_iperbolico.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Quadrato_iperbolico.svg/330px-Quadrato_iperbolico.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Quadrato_iperbolico.svg/440px-Quadrato_iperbolico.svg.png 2x" data-file-width="360" data-file-height="360" /></a><figcaption>Rappresentazione di quadrato nel <a href="/wiki/Disco_di_Poincar%C3%A9" title="Disco di Poincaré">disco di Poincaré</a>, esso ha angoli acuti.</figcaption></figure> <p>Una dimostrazione costruttiva dell'esistenza del quadrato è data da Euclide nella proposizione 46 del I libro degli <a href="/wiki/Elementi_(Euclide)" title="Elementi (Euclide)">Elementi</a>, subito prima di usare questa figura nell'enunciare e dimostrare il <a href="/wiki/Teorema_di_Pitagora" title="Teorema di Pitagora">teorema di Pitagora</a>. Nella tradizione didattica moderna l'esistenza dei quadrati è invece in genere data per scontata. Bisogna notare che la dimostrazione euclidea usa indirettamente il <a href="/wiki/V_postulato_di_Euclide" title="V postulato di Euclide">V postulato</a> e l'esistenza di quadrati non è garantita nelle <a href="/wiki/Geometrie_non_euclidee" class="mw-redirect" title="Geometrie non euclidee">geometrie non euclidee</a>. </p><p>Ad esempio, in <a href="/wiki/Geometria_iperbolica" title="Geometria iperbolica">geometria iperbolica</a> non esistono poligoni con quattro lati uguali e quattro angoli retti: la somma degli angoli interni di un quadrilatero iperbolico è infatti sempre strettamente minore di un <a href="/wiki/Angolo_giro" title="Angolo giro">angolo giro</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Costruzione">Costruzione</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=5" title="Modifica la sezione Costruzione" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=5" title="Edit section's source code: Costruzione"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Un quadrato può essere inscritto in una circonferenza <a href="/wiki/Costruzioni_con_riga_e_compasso" title="Costruzioni con riga e compasso">con riga e compasso</a>. Qui sotto ne è mostrata un'animazione: </p> <figure class="mw-default-size mw-halign-center" typeof="mw:File"><a href="/wiki/File:Straight_Square_Inscribed_in_a_Circle.gif" class="mw-file-description" title="Costruzione del quadrato inscritto nella circonferenza"><img alt="Costruzione del quadrato inscritto nella circonferenza" src="//upload.wikimedia.org/wikipedia/commons/4/4f/Straight_Square_Inscribed_in_a_Circle.gif" decoding="async" width="480" height="480" class="mw-file-element" data-file-width="480" data-file-height="480" /></a><figcaption>Costruzione del quadrato inscritto nella circonferenza</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=6" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=6" title="Edit section's source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Quadrilatero" title="Quadrilatero">Quadrilatero</a></li> <li><a href="/wiki/Quadrato_(algebra)" title="Quadrato (algebra)">Quadrato (algebra)</a></li> <li><a href="/wiki/Teorema_delle_intersezioni_dimensionali" title="Teorema delle intersezioni dimensionali">Teorema delle intersezioni dimensionali</a></li> <li><a href="/wiki/Sezioni_ipercubiche_ortoassiali" title="Sezioni ipercubiche ortoassiali">Sezioni ipercubiche ortoassiali</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Altri_progetti">Altri progetti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=7" title="Modifica la sezione Altri progetti" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=7" title="Edit section's source code: Altri progetti"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div id="interProject" class="toccolours" style="display: none; clear: both; margin-top: 2em"><p id="sisterProjects" style="background-color: #efefef; color: black; font-weight: bold; margin: 0"><span>Altri progetti</span></p><ul title="Collegamenti verso gli altri progetti Wikimedia"> <li class="" title=""><a href="https://it.wiktionary.org/wiki/quadrato" class="extiw" title="wikt:quadrato">Wikizionario</a></li> <li class="" title=""><span class="plainlinks" title="commons:Category:Square (geometry)"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Square_(geometry)?uselang=it">Wikimedia Commons</a></span></li></ul></div> <ul><li><span typeof="mw:File"><a href="https://it.wiktionary.org/wiki/" title="Collabora a Wikizionario"><img alt="Collabora a Wikizionario" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/18px-Wiktionary_small.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/27px-Wiktionary_small.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f9/Wiktionary_small.svg/36px-Wiktionary_small.svg.png 2x" data-file-width="350" data-file-height="350" /></a></span> <a href="https://it.wiktionary.org/wiki/" class="extiw" title="wikt:">Wikizionario</a> contiene il lemma di dizionario «<b><a href="https://it.wiktionary.org/wiki/quadrato" class="extiw" title="wikt:quadrato">quadrato</a></b>»</li> <li><span typeof="mw:File"><a href="https://commons.wikimedia.org/wiki/?uselang=it" title="Collabora a Wikimedia Commons"><img alt="Collabora a Wikimedia Commons" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png" decoding="async" width="18" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/27px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/36px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=it">Wikimedia Commons</a></span> contiene immagini o altri file sul <b><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Square_(geometry)?uselang=it">quadrato</a></span></b></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Quadrato&veaction=edit&section=8" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Quadrato&action=edit&section=8" title="Edit section's source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li> <li><cite id="CITEREFTreccani.it" class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://www.treccani.it/enciclopedia/quadrato"><span style="font-style:italic;">quadrato</span></a>, su <span style="font-style:italic;">Treccani.it – Enciclopedie on line</span>, <a href="/wiki/Istituto_dell%27Enciclopedia_Italiana" title="Istituto dell'Enciclopedia Italiana">Istituto dell'Enciclopedia Italiana</a>.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q164#P3365" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFEnciclopedia_Italiana" class="citation libro" style="font-style:normal"> Attilio Frajese, <a rel="nofollow" class="external text" href="https://www.treccani.it/enciclopedia/quadrato_(Enciclopedia-Italiana)/"><span style="font-style:italic;">QUADRATO</span></a>, in <span style="font-style:italic;"><a href="/wiki/Enciclopedia_Treccani" title="Enciclopedia Treccani">Enciclopedia Italiana</a></span>, <a href="/wiki/Istituto_dell%27Enciclopedia_Italiana" title="Istituto dell'Enciclopedia Italiana">Istituto dell'Enciclopedia Italiana</a>, 1935.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q164#P4223" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFVocabolario_Treccani" class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://www.treccani.it/vocabolario/quadrato2"><span style="font-style:italic;">quadrato²</span></a>, su <span style="font-style:italic;"><a href="/wiki/Vocabolario_Treccani" title="Vocabolario Treccani">Vocabolario Treccani</a></span>, <a href="/wiki/Istituto_dell%27Enciclopedia_Italiana" title="Istituto dell'Enciclopedia Italiana">Istituto dell'Enciclopedia Italiana</a>.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q164#P5844" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFSapere.it" class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://www.sapere.it/enciclopedia/quadrato+(sostantivo).html"><span style="font-style:italic;">quadrato</span></a>, su <span style="font-style:italic;">sapere.it</span>, <a href="/wiki/De_Agostini" title="De Agostini">De Agostini</a>.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q164#P6706" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFBritannica.com" class="citation web" style="font-style:normal">(<span style="font-weight:bolder; font-size:80%"><abbr title="inglese">EN</abbr></span>) <a rel="nofollow" class="external text" href="https://www.britannica.com/topic/square-mathematics"><span style="font-style:italic;">square</span></a>, su <span style="font-style:italic;"><a href="/wiki/Enciclopedia_Britannica" title="Enciclopedia Britannica">Enciclopedia Britannica</a></span>, Encyclopædia Britannica, Inc.</cite> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q164#P1417" title="Modifica su Wikidata"><img alt="Modifica su Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/10px-Blue_pencil.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/15px-Blue_pencil.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/73/Blue_pencil.svg/20px-Blue_pencil.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></li> <li><cite id="CITEREFMathWorld" class="citation web" style="font-style:normal">(<span 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Usa l'anteprima prima di salvare">M</span></a></div></div><span class="navbox_title"><a href="/wiki/Poligono" title="Poligono">Poligoni</a></span></th></tr><tr><th colspan="1" class="navbox_group">Poligoni per numero di lati</th><td colspan="1" class="navbox_list navbox_odd"><a href="/wiki/Triangolo" title="Triangolo">Triangolo</a> (3)<b> ·</b> <a href="/wiki/Quadrilatero" title="Quadrilatero">Quadrilatero</a> (4)<b> ·</b> <a href="/wiki/Pentagono" title="Pentagono">Pentagono</a> (5)<b> ·</b> <a href="/wiki/Esagono" title="Esagono">Esagono</a> (6)<b> ·</b> <a href="/wiki/Ettagono" title="Ettagono">Ettagono</a> (7)<b> ·</b> <a href="/wiki/Ottagono" title="Ottagono">Ottagono</a> (8)<b> ·</b> <a href="/wiki/Ennagono" title="Ennagono">Ennagono</a> (9)<b> ·</b> <a href="/wiki/Decagono" title="Decagono">Decagono</a> (10)<b> ·</b> <a href="/wiki/Endecagono" title="Endecagono">Endecagono</a> (11)<b> ·</b> <a href="/wiki/Dodecagono" title="Dodecagono">Dodecagono</a> (12)<b> ·</b> <a href="/wiki/Tridecagono" title="Tridecagono">Tridecagono</a> (13)<b> ·</b> <a href="/wiki/Tetradecagono" title="Tetradecagono">Tetradecagono</a> (14)<b> ·</b> <a href="/wiki/Pentadecagono" title="Pentadecagono">Pentadecagono</a> (15)<b> ·</b> <a href="/wiki/Esadecagono" title="Esadecagono">Esadecagono</a> (16)<b> ·</b> <a href="/wiki/Eptadecagono" title="Eptadecagono">Eptadecagono</a> (17)<b> ·</b> <a href="/wiki/Ottadecagono" title="Ottadecagono">Ottadecagono</a> (18)<b> ·</b> <a href="/wiki/Ennadecagono" title="Ennadecagono">Ennadecagono</a> (19)<b> ·</b> <a href="/wiki/Icosagono" title="Icosagono">Icosagono</a> (20)<b> ·</b> <a href="/wiki/Endeicosagono" title="Endeicosagono">Endeicosagono</a> (21)<b> ·</b> <a href="/wiki/Doicosagono" title="Doicosagono">Doicosagono</a> (22)<b> ·</b> <a href="/wiki/Triacontagono" title="Triacontagono">Triacontagono</a> (30)<b> ·</b> <a href="/wiki/Pentacontagono" title="Pentacontagono">Pentacontagono</a> (50)<b> ·</b> <a href="/wiki/257-gono" title="257-gono">257-gono</a> (257)<b> ·</b> <a href="/wiki/Chiliagono" title="Chiliagono">Chiliagono</a> (1 000)<b> ·</b> <a href="/wiki/Miriagono" title="Miriagono">Miriagono</a> (10 000)<b> ·</b> <a href="/wiki/65537-gono" title="65537-gono">65537-gono</a> (65 537)</td><td rowspan="5" class="navbox_image"><span typeof="mw:File"><a href="/wiki/File:Suprematism_with_Blue_Triangle_and_Black_Square.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Suprematism_with_Blue_Triangle_and_Black_Square.jpg/150px-Suprematism_with_Blue_Triangle_and_Black_Square.jpg" decoding="async" width="150" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Suprematism_with_Blue_Triangle_and_Black_Square.jpg/225px-Suprematism_with_Blue_Triangle_and_Black_Square.jpg 1.5x, 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ottusangolo</a></td></tr><tr><th colspan="1" class="navbox_group"><a href="/wiki/Quadrilatero" title="Quadrilatero">Quadrilateri</a></th><td colspan="1" class="navbox_list navbox_odd"><a class="mw-selflink selflink">Quadrato</a><b> ·</b> <a href="/wiki/Rettangolo" title="Rettangolo">Rettangolo</a><b> ·</b> <a href="/wiki/Parallelogramma" title="Parallelogramma">Parallelogramma</a><b> ·</b> <a href="/wiki/Rombo_(geometria)" title="Rombo (geometria)">Rombo</a><b> ·</b> <a href="/wiki/Trapezio" title="Trapezio">Trapezio</a><b> ·</b> <a href="/wiki/Aquilone_(geometria)" title="Aquilone (geometria)">Aquilone</a></td></tr><tr><th colspan="1" class="navbox_group"><a href="/wiki/Poligono_stellato" title="Poligono stellato">Poligoni stellati</a></th><td colspan="1" class="navbox_list navbox_even"><a href="/wiki/Pentagramma_(geometria)" title="Pentagramma (geometria)">Pentagramma</a><b> ·</b> <a href="/wiki/Esagramma" title="Esagramma">Esagramma</a><b> ·</b> <a href="/wiki/Eptagramma" class="mw-redirect" title="Eptagramma">Eptagramma</a><b> ·</b> <a href="/w/index.php?title=Ottagramma&action=edit&redlink=1" class="new" title="Ottagramma (la pagina non esiste)">Ottagramma</a><b> ·</b> <a href="/wiki/Enneagramma_(geometria)" title="Enneagramma (geometria)">Enneagramma</a><b> ·</b> <a href="/w/index.php?title=Decagramma&action=edit&redlink=1" class="new" title="Decagramma (la pagina non esiste)">Decagramma</a><b> ·</b> <a href="/w/index.php?title=Endecagramma&action=edit&redlink=1" class="new" title="Endecagramma (la pagina non esiste)">Endecagramma</a><b> ·</b> <a href="/w/index.php?title=Dodecagramma&action=edit&redlink=1" class="new" title="Dodecagramma (la pagina non esiste)">Dodecagramma</a></td></tr><tr><th colspan="1" class="navbox_group">Altri</th><td colspan="1" class="navbox_list navbox_odd"><a href="/wiki/Poligono_regolare" title="Poligono regolare">Poligono regolare</a><b> ·</b> <a href="/wiki/Poligono_equilatero" title="Poligono equilatero">Poligono equilatero</a><b> ·</b> <a href="/wiki/Poligono_equiangolo" title="Poligono equiangolo">Poligono equiangolo</a><b> ·</b> <a href="/wiki/Poligono_sghembo" title="Poligono sghembo">Poligono sghembo</a></td></tr></tbody></table> <style data-mw-deduplicate="TemplateStyles:r140554510">.mw-parser-output .CdA{border:1px solid #aaa;width:100%;margin:auto;font-size:90%;padding:2px}.mw-parser-output .CdA th{background-color:#f2f2f2;font-weight:bold;width:20%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-night .mw-parser-output .CdA th{background-color:#202122}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .CdA{border-color:#54595D}html.skin-theme-clientpref-os .mw-parser-output .CdA th{background-color:#202122}}</style><table class="CdA"><tbody><tr><th><a href="/wiki/Aiuto:Controllo_di_autorit%C3%A0" title="Aiuto:Controllo di autorità">Controllo di autorità</a></th><td><a 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