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Disponível em 33 línguas" > <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-33" 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">33 línguas</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/Reuleaux-driehoek" title="Reuleaux-driehoek — africanês" lang="af" hreflang="af" data-title="Reuleaux-driehoek" data-language-autonym="Afrikaans" data-language-local-name="africanês" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AB%D9%84%D8%AB_%D8%B1%D9%88%D9%84%D9%88" title="مثلث رولو — árabe" lang="ar" hreflang="ar" data-title="مثلث رولو" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Tri%C3%A1ngulu_de_Reuleaux" title="Triángulu de Reuleaux — asturiano" lang="ast" hreflang="ast" data-title="Triángulu de Reuleaux" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Triangle_de_Reuleaux" title="Triangle de Reuleaux — catalão" lang="ca" hreflang="ca" data-title="Triangle de Reuleaux" data-language-autonym="Català" data-language-local-name="catalão" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Reuleaux%C5%AFv_troj%C3%BAheln%C3%ADk" title="Reuleauxův trojúhelník — checo" lang="cs" hreflang="cs" data-title="Reuleauxův trojúhelník" data-language-autonym="Čeština" data-language-local-name="checo" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Reuleaux-Dreieck" title="Reuleaux-Dreieck — alemão" lang="de" hreflang="de" data-title="Reuleaux-Dreieck" data-language-autonym="Deutsch" data-language-local-name="alemão" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CF%81%CE%AF%CE%B3%CF%89%CE%BD%CE%BF_%CE%A1%CE%B5%CE%BB%CF%8E" title="Τρίγωνο Ρελώ — grego" lang="el" hreflang="el" data-title="Τρίγωνο Ρελώ" data-language-autonym="Ελληνικά" data-language-local-name="grego" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en badge-Q17437798 badge-goodarticle mw-list-item" title="artigo bom"><a href="https://en.wikipedia.org/wiki/Reuleaux_triangle" title="Reuleaux triangle — inglês" lang="en" hreflang="en" data-title="Reuleaux triangle" data-language-autonym="English" data-language-local-name="inglês" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Tri%C3%A1ngulo_de_Reuleaux" title="Triángulo de Reuleaux — espanhol" lang="es" hreflang="es" data-title="Triángulo de Reuleaux" data-language-autonym="Español" data-language-local-name="espanhol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Reuleauxen_triangelua" title="Reuleauxen triangelua — basco" lang="eu" hreflang="eu" data-title="Reuleauxen triangelua" 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%AB%D9%84%D8%AB_%D8%B1%D9%88%D9%84%D9%88" title="مثلث رولو — persa" lang="fa" hreflang="fa" data-title="مثلث رولو" data-language-autonym="فارسی" data-language-local-name="persa" 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/Reuleaux%E2%80%99n_kolmio" title="Reuleaux’n kolmio — finlandês" lang="fi" hreflang="fi" data-title="Reuleaux’n kolmio" data-language-autonym="Suomi" data-language-local-name="finlandês" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Triangle_de_Reuleaux" title="Triangle de Reuleaux — francês" lang="fr" hreflang="fr" data-title="Triangle de Reuleaux" data-language-autonym="Français" data-language-local-name="francês" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Tri%C3%A1ngulo_de_Reuleaux" title="Triángulo de Reuleaux — galego" lang="gl" hreflang="gl" data-title="Triángulo de Reuleaux" data-language-autonym="Galego" data-language-local-name="galego" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A9%D7%95%D7%9C%D7%A9_%D7%A8%D7%95%D7%9C%D7%95" title="משולש רולו — hebraico" lang="he" hreflang="he" data-title="משולש רולו" data-language-autonym="עברית" data-language-local-name="hebraico" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Reuleauxov_trokut" title="Reuleauxov trokut — croata" lang="hr" hreflang="hr" data-title="Reuleauxov trokut" data-language-autonym="Hrvatski" data-language-local-name="croata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8C%D5%B5%D5%B8%D5%AC%D5%B8%D5%B5%D5%AB_%D5%A5%D5%BC%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6" title="Ռյոլոյի եռանկյուն — arménio" lang="hy" hreflang="hy" data-title="Ռյոլոյի եռանկյուն" data-language-autonym="Հայերեն" data-language-local-name="arménio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Triangolo_di_Reuleaux" title="Triangolo di Reuleaux — italiano" lang="it" hreflang="it" data-title="Triangolo di Reuleaux" data-language-autonym="Italiano" data-language-local-name="italiano" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%AB%E3%83%BC%E3%83%AD%E3%83%BC%E3%81%AE%E4%B8%89%E8%A7%92%E5%BD%A2" title="ルーローの三角形 — japonês" lang="ja" hreflang="ja" data-title="ルーローの三角形" data-language-autonym="日本語" data-language-local-name="japonês" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A0%D1%91%D0%BB%D0%BE_%D2%AF%D1%88%D0%B1%D2%B1%D1%80%D1%8B%D1%88%D1%8B" title="Рёло үшбұрышы — cazaque" lang="kk" hreflang="kk" data-title="Рёло үшбұрышы" data-language-autonym="Қазақша" data-language-local-name="cazaque" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A2%B8%EB%A1%9C_%EC%82%BC%EA%B0%81%ED%98%95" title="뢸로 삼각형 — coreano" lang="ko" hreflang="ko" data-title="뢸로 삼각형" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Reuleaux-driehoek" title="Reuleaux-driehoek — neerlandês" lang="nl" hreflang="nl" data-title="Reuleaux-driehoek" data-language-autonym="Nederlands" data-language-local-name="neerlandês" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Reuleaux-trekant" title="Reuleaux-trekant — norueguês bokmål" lang="nb" hreflang="nb" data-title="Reuleaux-trekant" data-language-autonym="Norsk bokmål" data-language-local-name="norueguês bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_Reuleaux" title="Trójkąt Reuleaux — polaco" lang="pl" hreflang="pl" data-title="Trójkąt Reuleaux" data-language-autonym="Polski" data-language-local-name="polaco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437796 badge-featuredarticle mw-list-item" title="artigo destacado"><a href="https://ru.wikipedia.org/wiki/%D0%A2%D1%80%D0%B5%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B8%D0%BA_%D0%A0%D1%91%D0%BB%D0%BE" title="Треугольник Рёло — russo" lang="ru" hreflang="ru" data-title="Треугольник Рёло" data-language-autonym="Русский" data-language-local-name="russo" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Reuleauxov_trokut" title="Reuleauxov trokut — servo-croata" lang="sh" hreflang="sh" data-title="Reuleauxov trokut" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="servo-croata" 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/Reuleaux_triangle" title="Reuleaux triangle — Simple English" lang="en-simple" hreflang="en-simple" data-title="Reuleaux triangle" 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-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Reloov_trougao" title="Reloov trougao — sérvio" lang="sr" hreflang="sr" data-title="Reloov trougao" data-language-autonym="Српски / srpski" data-language-local-name="sérvio" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Reuleaux_%C3%BC%C3%A7geni" title="Reuleaux üçgeni — turco" lang="tr" hreflang="tr" data-title="Reuleaux üçgeni" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk badge-Q17437796 badge-featuredarticle mw-list-item" title="artigo destacado"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA_%D0%A0%D0%B5%D0%BB%D0%BE" title="Трикутник Рело — ucraniano" lang="uk" hreflang="uk" data-title="Трикутник Рело" data-language-autonym="Українська" data-language-local-name="ucraniano" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi badge-Q17437798 badge-goodarticle mw-list-item" title="artigo bom"><a href="https://vi.wikipedia.org/wiki/Tam_gi%C3%A1c_Reuleaux" title="Tam giác Reuleaux — vietnamita" lang="vi" hreflang="vi" data-title="Tam giác Reuleaux" 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-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8B%92%E6%B4%9B%E4%B8%89%E8%A7%92%E5%BD%A2" title="勒洛三角形 — chinês" lang="zh" hreflang="zh" data-title="勒洛三角形" data-language-autonym="中文" data-language-local-name="chinês" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/Reuleaux_%E4%B8%89%E8%A7%92%E5%BD%A2" title="Reuleaux 三角形 — cantonês" lang="yue" hreflang="yue" data-title="Reuleaux 三角形" data-language-autonym="粵語" data-language-local-name="cantonês" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q959203#sitelinks-wikipedia" title="Editar hiperligações interlínguas" class="wbc-editpage">Editar 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class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Origem: Wikipédia, a enciclopédia livre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="pt" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Reuleaux_triangle_Animation.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Reuleaux_triangle_Animation.gif/200px-Reuleaux_triangle_Animation.gif" decoding="async" width="200" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/6/65/Reuleaux_triangle_Animation.gif 1.5x" data-file-width="250" data-file-height="250" /></a><figcaption>O triângulo de Reuleaux, em qualquer orientação, sempre é tangente a um quadrado.</figcaption></figure> <p>O <b>triângulo de Reuleaux</b> (ou <b>triângulo esférico</b>) é o exemplo mais simples dos chamados <a href="/wiki/Pol%C3%ADgonos_de_Reuleaux" title="Polígonos de Reuleaux">polígonos de Reuleaux</a>. O nome é uma homenagem ao <a href="/wiki/Cientista" title="Cientista">cientista</a> e <a href="/wiki/Engenheiro" title="Engenheiro">engenheiro</a> que os desenvolveu, <a href="/wiki/Franz_Reuleaux" title="Franz Reuleaux">Franz Reuleaux</a>. Estes <a href="/wiki/Pol%C3%ADgono" title="Polígono">polígonos</a> tem a distinção de serem <a href="/wiki/Curva_de_largura_constante" title="Curva de largura constante">curvas de largura constante</a>, ou seja, a distância entre os duas <a href="/wiki/Reta" title="Reta">retas</a> <a href="/wiki/Tangente_(geometria)" title="Tangente (geometria)">tangentes</a> <a href="/wiki/Paralela" class="mw-disambig" title="Paralela">paralelas</a> opostas é a mesma, independentemente da direção destas retas. Isto é mostrado na figura anexa, em que há sempre quatro pontos de contato com o quadrado, uma de cada lado.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span>[</span>1<span>]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Construção"><span id="Constru.C3.A7.C3.A3o"></span>Construção</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tri%C3%A2ngulo_de_Reuleaux&veaction=edit&section=1" title="Editar secção: Construção" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tri%C3%A2ngulo_de_Reuleaux&action=edit&section=1" title="Editar código-fonte da secção: Construção"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Construction_triangle_Reuleaux.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Construction_triangle_Reuleaux.svg/150px-Construction_triangle_Reuleaux.svg.png" decoding="async" width="150" height="143" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Construction_triangle_Reuleaux.svg/225px-Construction_triangle_Reuleaux.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/27/Construction_triangle_Reuleaux.svg/300px-Construction_triangle_Reuleaux.svg.png 2x" data-file-width="1067" data-file-height="1019" /></a><figcaption>Construção de um triângulo de Reuleaux</figcaption></figure> <p>Um triângulo de Reuleaux pode ser tanto construído diretamente a partir de três <a href="/wiki/C%C3%ADrculo" title="Círculo">círculos</a>, ou pelo arredondamento dos lados de um <a href="/wiki/Tri%C3%A2ngulo_equil%C3%A1tero" title="Triângulo equilátero">triângulo equilátero</a>.<sup id="cite_ref-hann_2-0" class="reference"><a href="#cite_note-hann-2"><span>[</span>2<span>]</span></a></sup> </p><p>A construção com três círculos pode ser realizada com <a href="/wiki/Compasso" class="mw-disambig" title="Compasso">compasso</a> sozinho, sem a necessidade de uma régua. Pelo <a href="/wiki/Teorema_de_Mohr-Mascheroni" title="Teorema de Mohr-Mascheroni">teorema de Mohr-Mascheroni</a>, o mesmo vale para qualquer <a href="/wiki/Constru%C3%A7%C3%A3o_com_r%C3%A9gua_e_compasso" class="mw-redirect" title="Construção com régua e compasso">construção com régua e compasso</a>,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span>[</span>3<span>]</span></a></sup> mas a construção do triângulo de Reuleaux é particularmente simples: </p><p>Primeiro, usa-se o compasso para desenhar o círculo, ou um arco circular suficientemente grande. Em seguida, mantendo-se fixa a abertura do compasso, coloca-se a ponta do compasso sobre o círculo ou arco, e desenha-se um segundo círculo ou arco passando pelo centro do primeiro. Finalmente, com a ponta do compasso em um dos dois pontos de interseção dos dois círculos, desenha-se um terceiro círculo ou arco de mesmo raio, através dos centros dos dois primeiros círculos. A região central do arranjo correspondente de três círculos é um triângulo de Reuleaux.<sup id="cite_ref-hann_2-1" class="reference"><a href="#cite_note-hann-2"><span>[</span>2<span>]</span></a></sup> </p><p>Alternativamente, constrói-se um triângulo equilátero <i>T</i>. Então desenha-se os arcos dos círculos, cada um centrado em um vértice de <i>T</i> e conectando os outros dois vértices.<sup id="cite_ref-gardner_4-0" class="reference"><a href="#cite_note-gardner-4"><span>[</span>4<span>]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Outros_ficheiros">Outros ficheiros</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tri%C3%A2ngulo_de_Reuleaux&veaction=edit&section=2" title="Editar secção: Outros ficheiros" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tri%C3%A2ngulo_de_Reuleaux&action=edit&section=2" title="Editar código-fonte da secção: Outros ficheiros"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheiro:Tri%C3%A2ngulo_de_Reuleaux.pdf" class="mw-file-description" title="Triângulo de Reuleaux"><img alt="Triângulo de Reuleaux" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Tri%C3%A2ngulo_de_Reuleaux.pdf/page1-120px-Tri%C3%A2ngulo_de_Reuleaux.pdf.jpg" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Tri%C3%A2ngulo_de_Reuleaux.pdf/page1-180px-Tri%C3%A2ngulo_de_Reuleaux.pdf.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/be/Tri%C3%A2ngulo_de_Reuleaux.pdf/page1-240px-Tri%C3%A2ngulo_de_Reuleaux.pdf.jpg 2x" data-file-width="1908" data-file-height="1908" /></a></span></div> <div class="gallerytext">Triângulo de Reuleaux</div> </li> </ul> <h2 id="Referências" style="cursor: help;" title="Esta seção foi configurada para não ser editável diretamente. Edite a página toda ou a seção anterior em vez disso."><span id="Refer.C3.AAncias"></span>Referências</h2> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Clifford A. Pickover; <a rel="nofollow" class="external text" href="https://books.google.com.br/books?id=JrslMKTgSZwC">The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics</a>; Sterling Publishing Company, Inc., 2009. pg 266. - <b>books.google.com.br</b></span> </li> <li id="cite_note-hann-2"><span class="mw-cite-backlink">↑ <sup><i><b><a href="#cite_ref-hann_2-0">a</a></b></i></sup> <sup><i><b><a href="#cite_ref-hann_2-1">b</a></b></i></sup></span> <span class="reference-text"><cite id="CITEREFHann2014" class="citation">Hann, Michael (2014), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=-CX-AgAAQBAJ&pg=PA34"><i>Structure and Form in Design: Critical Ideas for Creative Practice</i></a>, <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Especial:Fontes_de_livros/9781472584311" title="Especial:Fontes de livros/9781472584311">9781472584311</a>, A&C Black, p. 34</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATri%C3%A2ngulo+de+Reuleaux&rft.aufirst=Michael&rft.aulast=Hann&rft.btitle=Structure+and+Form+in+Design%3A+Critical+Ideas+for+Creative+Practice&rft.date=2014&rft.genre=book&rft.isbn=9781472584311&rft.pages=34&rft.pub=A%26C+Black&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D-CX-AgAAQBAJ%26pg%3DPA34&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><cite id="CITEREFHungerbühler1994" class="citation">Hungerbühler, Norbert (1994), «A short elementary proof of the Mohr-Mascheroni theorem», <i>The American Mathematical Monthly</i>, <b>101</b> (8): 784–787, <a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">MR</a> <a rel="nofollow" class="external text" href="//www.ams.org/mathscinet-getitem?mr=1299166">1299166</a>, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.2307%2F2974536">10.2307/2974536</a></cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATri%C3%A2ngulo+de+Reuleaux&rft.atitle=A+short+elementary+proof+of+the+Mohr-Mascheroni+theorem&rft.aufirst=Norbert&rft.aulast=Hungerb%C3%BChler&rft.date=1994&rft.genre=article&rft.issue=8&rft.jtitle=The+American+Mathematical+Monthly&rft.pages=784-787&rft.volume=101&rft_id=%2F%2Fwww.ams.org%2Fmathscinet-getitem%3Fmr%3D1299166&rft_id=info%3Adoi%2F10.2307%2F2974536&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> <li id="cite_note-gardner-4"><span class="mw-cite-backlink"><a href="#cite_ref-gardner_4-0">↑</a></span> <span class="reference-text"><cite id="CITEREFGardner2014" class="citation"><a href="/wiki/Martin_Gardner" title="Martin Gardner">Gardner, Martin</a> (2014), «Chapter 18: Curves of Constant Width», <i>Knots and Borromean Rings, Rep-Tiles, and Eight Queens</i>, <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Especial:Fontes_de_livros/9780521756136" title="Especial:Fontes de livros/9780521756136">9780521756136</a>, The New Martin Gardner Mathematical Library, <b>4</b>, Cambridge University Press, pp. 223–245</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3ATri%C3%A2ngulo+de+Reuleaux&rft.atitle=Chapter+18%3A+Curves+of+Constant+Width&rft.aufirst=Martin&rft.aulast=Gardner&rft.btitle=Knots+and+Borromean+Rings%2C+Rep-Tiles%2C+and+Eight+Queens&rft.date=2014&rft.genre=bookitem&rft.isbn=9780521756136&rft.pages=223-245&rft.pub=Cambridge+University+Press&rft.series=The+New+Martin+Gardner+Mathematical+Library&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span>.</span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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