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Espaço tridimensional – Wikipédia, a enciclopédia livre
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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">Início</div> </a> </li> <li id="toc-Terceira_dimensão" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Terceira_dimensão"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Terceira dimensão</span> </div> </a> <ul id="toc-Terceira_dimensão-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Física_clássica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Física_clássica"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Física clássica</span> </div> </a> <ul id="toc-Física_clássica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ambiente_virtual_tridimensional" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ambiente_virtual_tridimensional"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Ambiente virtual tridimensional</span> </div> </a> <ul id="toc-Ambiente_virtual_tridimensional-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ver_também" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ver_também"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Ver também</span> </div> </a> <ul id="toc-Ver_também-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notas"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Notas</span> </div> </a> <ul id="toc-Notas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referências" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referências"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Referências</span> </div> </a> <ul id="toc-Referências-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="Conteúdo" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Índice" > <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="Alternar o índice" > <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">Alternar o índice</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">Espaço tridimensional</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="Ir para um artigo noutra língua. Disponível em 72 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-72" 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">72 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/Driedimensioneel" title="Driedimensioneel — africanês" lang="af" hreflang="af" data-title="Driedimensioneel" data-language-autonym="Afrikaans" data-language-local-name="africanês" 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/3D" title="3D — alemão suíço" lang="gsw" hreflang="gsw" data-title="3D" data-language-autonym="Alemannisch" data-language-local-name="alemão suíço" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%81%D8%B6%D8%A7%D8%A1_%D8%AB%D9%84%D8%A7%D8%AB%D9%8A_%D8%A7%D9%84%D8%A3%D8%A8%D8%B9%D8%A7%D8%AF" title="فضاء ثلاثي الأبعاد — árabe" lang="ar" hreflang="ar" data-title="فضاء ثلاثي الأبعاد" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%BF%E0%A6%AE%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%BF%E0%A6%95_%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A7%B0" title="ত্ৰিমাত্ৰিক ক্ষেত্ৰ — assamês" lang="as" hreflang="as" data-title="ত্ৰিমাত্ৰিক ক্ষেত্ৰ" data-language-autonym="অসমীয়া" data-language-local-name="assamês" 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/Tridimensional" title="Tridimensional — asturiano" lang="ast" hreflang="ast" data-title="Tridimensional" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C3%9C%C3%A7%C3%B6l%C3%A7%C3%BCl%C3%BC_f%C9%99za" title="Üçölçülü fəza — azerbaijano" lang="az" hreflang="az" data-title="Üçölçülü fəza" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijano" 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/%D8%A7%D9%88%DA%86%E2%80%8C%D8%A7%D8%A4%D9%84%DA%86%D9%88%D9%84%D9%88_%D9%85%DA%A9%D8%A7%D9%86" title="اوچاؤلچولو مکان — South Azerbaijani" lang="azb" hreflang="azb" data-title="اوچاؤلچولو مکان" 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/%D3%A8%D1%81_%D2%AF%D0%BB%D1%81%D3%99%D0%BC%D0%BB%D0%B5_%D0%B0%D1%80%D0%B0%D1%83%D1%8B%D2%A1" title="Өс үлсәмле арауыҡ — bashkir" lang="ba" hreflang="ba" data-title="Өс үлсәмле арауыҡ" data-language-autonym="Башҡортса" data-language-local-name="bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%BC%D0%B5%D1%80%D0%BD%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE" title="Тримерно пространство — búlgaro" lang="bg" hreflang="bg" data-title="Тримерно пространство" data-language-autonym="Български" data-language-local-name="búlgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A4%E0%A5%80%E0%A4%A8-%E0%A4%86%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A5%80_%E0%A4%B8%E0%A5%8D%E0%A4%AA%E0%A5%87%E0%A4%B8_(%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4)" title="तीन-आयामी स्पेस (गणित) — Bhojpuri" lang="bh" hreflang="bh" data-title="तीन-आयामी स्पेस (गणित)" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/3_diminsi" title="3 diminsi — Banjar" lang="bjn" hreflang="bjn" data-title="3 diminsi" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%AE%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%95_%E0%A6%95%E0%A7%8D%E0%A6%B7%E0%A7%87%E0%A6%A4%E0%A7%8D%E0%A6%B0" title="ত্রিমাত্রিক ক্ষেত্র — bengalês" lang="bn" hreflang="bn" data-title="ত্রিমাত্রিক ক্ষেত্র" data-language-autonym="বাংলা" data-language-local-name="bengalês" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Espai_tridimensional" title="Espai tridimensional — catalão" lang="ca" hreflang="ca" data-title="Espai tridimensional" data-language-autonym="Català" data-language-local-name="catalão" 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/%D8%A8%DB%86%D8%B4%D8%A7%DB%8C%DB%8C%DB%8C_%D8%B3%DB%8E-%DA%95%DB%95%DA%BE%DB%95%D9%86%D8%AF%DB%8C" title="بۆشاییی سێ-ڕەھەندی — curdo central" lang="ckb" hreflang="ckb" data-title="بۆشاییی سێ-ڕەھەندی" data-language-autonym="کوردی" data-language-local-name="curdo central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/3D" title="3D — checo" lang="cs" hreflang="cs" data-title="3D" data-language-autonym="Čeština" data-language-local-name="checo" 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%92%D0%B8%C3%A7%C4%95_%D0%B2%D0%B8%C3%A7%D0%B5%D0%BB%D0%BB%C4%95_%D1%83%C3%A7%D0%BB%C4%83%D1%85" title="Виçĕ виçеллĕ уçлăх — chuvash" lang="cv" hreflang="cv" data-title="Виçĕ виçеллĕ уçлăх" data-language-autonym="Чӑвашла" data-language-local-name="chuvash" 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/Gofod_tri_dimensiwn" title="Gofod tri dimensiwn — galês" lang="cy" hreflang="cy" data-title="Gofod tri dimensiwn" data-language-autonym="Cymraeg" data-language-local-name="galês" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/3D" title="3D — alemão" lang="de" hreflang="de" data-title="3D" 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%B9%CF%83%CE%B4%CE%B9%CE%AC%CF%83%CF%84%CE%B1%CF%84%CE%BF%CF%82_%CF%87%CF%8E%CF%81%CE%BF%CF%82" title="Τρισδιάστατος χώρος — grego" lang="el" hreflang="el" data-title="Τρισδιάστατος χώρος" data-language-autonym="Ελληνικά" data-language-local-name="grego" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Three-dimensional_space" title="Three-dimensional space — inglês" lang="en" hreflang="en" data-title="Three-dimensional space" data-language-autonym="English" data-language-local-name="inglês" 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/Tri-dimensia_spaco" title="Tri-dimensia spaco — esperanto" lang="eo" hreflang="eo" data-title="Tri-dimensia spaco" 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/Tridimensional" title="Tridimensional — espanhol" lang="es" hreflang="es" data-title="Tridimensional" data-language-autonym="Español" data-language-local-name="espanhol" 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/Kolmem%C3%B5%C3%B5tmeline_eukleidiline_ruum" title="Kolmemõõtmeline eukleidiline ruum — estónio" lang="et" hreflang="et" data-title="Kolmemõõtmeline eukleidiline ruum" data-language-autonym="Eesti" data-language-local-name="estónio" 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/Hiru_dimentsioko" title="Hiru dimentsioko — basco" lang="eu" hreflang="eu" data-title="Hiru dimentsioko" 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%81%D8%B6%D8%A7%DB%8C_%D8%B3%D9%87%E2%80%8C%D8%A8%D8%B9%D8%AF%DB%8C" title="فضای سهبعدی — persa" lang="fa" hreflang="fa" data-title="فضای سهبعدی" 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/Kolmiulotteisuus" title="Kolmiulotteisuus — finlandês" lang="fi" hreflang="fi" data-title="Kolmiulotteisuus" 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/Trois_dimensions" title="Trois dimensions — francês" lang="fr" hreflang="fr" data-title="Trois dimensions" 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/Espazo_tridimensional" title="Espazo tridimensional — galego" lang="gl" hreflang="gl" data-title="Espazo tridimensional" 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%A8%D7%97%D7%91_%D7%AA%D7%9C%D7%AA-%D7%9E%D7%9E%D7%93%D7%99" title="מרחב תלת-ממדי — hebraico" lang="he" hreflang="he" data-title="מרחב תלת-ממדי" data-language-autonym="עברית" data-language-local-name="hebraico" 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%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%B5%E0%A4%BF%E0%A4%AE_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" title="त्रिविम समष्टि — hindi" lang="hi" hreflang="hi" data-title="त्रिविम समष्टि" 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/Trodimenzionalni_prostor" title="Trodimenzionalni prostor — croata" lang="hr" hreflang="hr" data-title="Trodimenzionalni prostor" 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/%D4%B5%D5%BC%D5%A1%D5%B9%D5%A1%D6%83_%D5%BF%D5%A1%D6%80%D5%A1%D5%AE%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Եռաչափ տարածություն — arménio" lang="hy" hreflang="hy" data-title="Եռաչափ տարածություն" data-language-autonym="Հայերեն" data-language-local-name="arménio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Ruang_dimensi_tiga" title="Ruang dimensi tiga — indonésio" lang="id" hreflang="id" data-title="Ruang dimensi tiga" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésio" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Tri-dimensionala_spaco" title="Tri-dimensionala spaco — ido" lang="io" hreflang="io" data-title="Tri-dimensionala spaco" 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/%C3%9Er%C3%ADv%C3%ADtt_form" title="Þrívítt form — islandês" lang="is" hreflang="is" data-title="Þrívítt form" data-language-autonym="Íslenska" data-language-local-name="islandês" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Tridimensionalit%C3%A0" title="Tridimensionalità — italiano" lang="it" hreflang="it" data-title="Tridimensionalità" 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/3%E6%AC%A1%E5%85%83" title="3次元 — japonês" lang="ja" hreflang="ja" data-title="3次元" 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-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%90%E1%83%9B%E1%83%92%E1%83%90%E1%83%9C%E1%83%96%E1%83%9D%E1%83%9B%E1%83%98%E1%83%9A%E1%83%94%E1%83%91%E1%83%98%E1%83%90%E1%83%9C%E1%83%98_%E1%83%92%E1%83%A0%E1%83%90%E1%83%A4%E1%83%98%E1%83%99%E1%83%90" title="სამგანზომილებიანი გრაფიკა — georgiano" lang="ka" hreflang="ka" data-title="სამგანზომილებიანი გრაფიკა" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/3%EC%B0%A8%EC%9B%90" title="3차원 — coreano" lang="ko" hreflang="ko" data-title="3차원" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Trimat%C4%97_erdv%C4%97" title="Trimatė erdvė — lituano" lang="lt" hreflang="lt" data-title="Trimatė erdvė" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ltg mw-list-item"><a href="https://ltg.wikipedia.org/wiki/Trejmiereigs" title="Trejmiereigs — Latgalian" lang="ltg" hreflang="ltg" data-title="Trejmiereigs" data-language-autonym="Latgaļu" data-language-local-name="Latgalian" class="interlanguage-link-target"><span>Latgaļu</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Tr%C4%ABsdimensiju_telpa" title="Trīsdimensiju telpa — letão" lang="lv" hreflang="lv" data-title="Trīsdimensiju telpa" data-language-autonym="Latviešu" data-language-local-name="letão" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Ruang_dimensi_tigo" title="Ruang dimensi tigo — minangkabau" lang="min" hreflang="min" data-title="Ruang dimensi tigo" data-language-autonym="Minangkabau" data-language-local-name="minangkabau" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A4%E0%B5%8D%E0%B4%B0%E0%B4%BF%E0%B4%AE%E0%B4%BE%E0%B4%A8%E0%B4%82" title="ത്രിമാനം — malaiala" lang="ml" hreflang="ml" data-title="ത്രിമാനം" data-language-autonym="മലയാളം" data-language-local-name="malaiala" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%85%E0%A4%B5%E0%A4%95%E0%A4%BE%E0%A4%B6" title="त्रिमितीय अवकाश — marata" lang="mr" hreflang="mr" data-title="त्रिमितीय अवकाश" data-language-autonym="मराठी" data-language-local-name="marata" 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/Tiga_dimensi" title="Tiga dimensi — malaio" lang="ms" hreflang="ms" data-title="Tiga dimensi" data-language-autonym="Bahasa Melayu" data-language-local-name="malaio" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Driedimensionaal" title="Driedimensionaal — neerlandês" lang="nl" hreflang="nl" data-title="Driedimensionaal" 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/Tredimensjonal" title="Tredimensjonal — norueguês bokmål" lang="nb" hreflang="nb" data-title="Tredimensjonal" 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-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Tres_dimensions" title="Tres dimensions — occitano" lang="oc" hreflang="oc" data-title="Tres dimensions" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A4%E0%A8%BF%E0%A9%B0%E0%A8%A8-%E0%A8%AA%E0%A8%B8%E0%A8%BE%E0%A8%B0%E0%A9%80_%E0%A8%96%E0%A8%BC%E0%A8%B2%E0%A8%BE%E0%A8%85" title="ਤਿੰਨ-ਪਸਾਰੀ ਖ਼ਲਾਅ — panjabi" lang="pa" hreflang="pa" data-title="ਤਿੰਨ-ਪਸਾਰੀ ਖ਼ਲਾਅ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Przestrze%C5%84_tr%C3%B3jwymiarowa" title="Przestrzeń trójwymiarowa — polaco" lang="pl" hreflang="pl" data-title="Przestrzeń trójwymiarowa" data-language-autonym="Polski" data-language-local-name="polaco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Spa%C8%9Biu_tridimensional" title="Spațiu tridimensional — romeno" lang="ro" hreflang="ro" data-title="Spațiu tridimensional" data-language-autonym="Română" data-language-local-name="romeno" 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%A2%D1%80%D1%91%D1%85%D0%BC%D0%B5%D1%80%D0%BD%D0%BE%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE" title="Трёхмерное пространство — russo" lang="ru" hreflang="ru" data-title="Трёхмерное пространство" 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/Trodimenzionalni_prostor" title="Trodimenzionalni prostor — servo-croata" lang="sh" hreflang="sh" data-title="Trodimenzionalni prostor" 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/3D" title="3D — Simple English" lang="en-simple" hreflang="en-simple" data-title="3D" 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/Trojrozmern%C3%BD_priestor" title="Trojrozmerný priestor — eslovaco" lang="sk" hreflang="sk" data-title="Trojrozmerný priestor" data-language-autonym="Slovenčina" data-language-local-name="eslovaco" 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/Trirazse%C5%BEni_prostor" title="Trirazsežni prostor — esloveno" lang="sl" hreflang="sl" data-title="Trirazsežni prostor" data-language-autonym="Slovenščina" data-language-local-name="esloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Hap%C3%ABsira_tre-dimensionale" title="Hapësira tre-dimensionale — albanês" lang="sq" hreflang="sq" data-title="Hapësira tre-dimensionale" data-language-autonym="Shqip" data-language-local-name="albanês" 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%A2%D1%80%D0%BE%D0%B4%D0%B8%D0%BC%D0%B5%D0%BD%D0%B7%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Тродимензионални простор — sérvio" lang="sr" hreflang="sr" data-title="Тродимензионални простор" 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-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Tredimensionellt_rum" title="Tredimensionellt rum — sueco" lang="sv" hreflang="sv" data-title="Tredimensionellt rum" data-language-autonym="Svenska" data-language-local-name="sueco" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%B0%E0%AE%BF%E0%AE%AE%E0%AE%BE%E0%AE%A3_%E0%AE%B5%E0%AF%86%E0%AE%B3%E0%AE%BF" title="முப்பரிமாண வெளி — tâmil" lang="ta" hreflang="ta" data-title="முப்பரிமாண வெளி" data-language-autonym="தமிழ்" data-language-local-name="tâmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9B%E0%B8%A3%E0%B8%B4%E0%B8%A0%E0%B8%B9%E0%B8%A1%E0%B8%B4%E0%B8%AA%E0%B8%B2%E0%B8%A1%E0%B8%A1%E0%B8%B4%E0%B8%95%E0%B8%B4" title="ปริภูมิสามมิติ — tailandês" lang="th" hreflang="th" data-title="ปริภูมิสามมิติ" data-language-autonym="ไทย" data-language-local-name="tailandês" 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/Espasyong_tatlong-dimensyon" title="Espasyong tatlong-dimensyon — tagalo" lang="tl" hreflang="tl" data-title="Espasyong tatlong-dimensyon" data-language-autonym="Tagalog" data-language-local-name="tagalo" 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/%C3%9C%C3%A7_boyutlu_uzay" title="Üç boyutlu uzay — turco" lang="tr" hreflang="tr" data-title="Üç boyutlu uzay" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B2%D0%B8%D0%BC%D1%96%D1%80%D0%BD%D0%B8%D0%B9_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%96%D1%80" title="Тривимірний простір — ucraniano" lang="uk" hreflang="uk" data-title="Тривимірний простір" data-language-autonym="Українська" data-language-local-name="ucraniano" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Uch_o%CA%BBlchamli_fazo" title="Uch oʻlchamli fazo — usbeque" lang="uz" hreflang="uz" data-title="Uch oʻlchamli fazo" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbeque" 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/3D" title="3D — véneto" lang="vec" hreflang="vec" data-title="3D" data-language-autonym="Vèneto" data-language-local-name="véneto" 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/Kh%C3%B4ng_gian_ba_chi%E1%BB%81u" title="Không gian ba chiều — vietnamita" lang="vi" hreflang="vi" data-title="Không gian ba chiều" 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-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%B8%89%E7%BB%B4%E7%A9%BA%E9%97%B4" title="三维空间 — wu" lang="wuu" hreflang="wuu" data-title="三维空间" 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-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%89%E7%B6%AD%E7%A9%BA%E9%96%93" title="三維空間 — chinês" lang="zh" hreflang="zh" data-title="三維空間" 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-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Sam-chh%C3%B9-go%C3%A2n" title="Sam-chhù-goân — min nan" lang="nan" hreflang="nan" data-title="Sam-chhù-goân" 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/%E4%B8%89%E7%B6%AD" title="三維 — cantonês" lang="yue" hreflang="yue" data-title="三維" 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/Q34929#sitelinks-wikipedia" title="Editar hiperligações interlínguas" class="wbc-editpage">Editar hiperligações</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaços nominais"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a 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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-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Cen%C3%A1rio_tridimensional.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Cen%C3%A1rio_tridimensional.png/220px-Cen%C3%A1rio_tridimensional.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Cen%C3%A1rio_tridimensional.png/330px-Cen%C3%A1rio_tridimensional.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Cen%C3%A1rio_tridimensional.png/440px-Cen%C3%A1rio_tridimensional.png 2x" data-file-width="1080" data-file-height="1080" /></a><figcaption>Uma imagem que produz a sensação visual de um cenário tridimensional.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Refer%C3%AAncial_com_Plano_de_Perfil.tif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Refer%C3%AAncial_com_Plano_de_Perfil.tif/lossy-page1-220px-Refer%C3%AAncial_com_Plano_de_Perfil.tif.jpg" decoding="async" width="220" height="161" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Refer%C3%AAncial_com_Plano_de_Perfil.tif/lossy-page1-330px-Refer%C3%AAncial_com_Plano_de_Perfil.tif.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/91/Refer%C3%AAncial_com_Plano_de_Perfil.tif/lossy-page1-440px-Refer%C3%AAncial_com_Plano_de_Perfil.tif.jpg 2x" data-file-width="966" data-file-height="705" /></a><figcaption>A <a href="/wiki/Geometria_descritiva" title="Geometria descritiva">Geometria descritiva</a> resolveu os problemas do espaço através da linguagem gráfica enquanto a <a href="/wiki/Geometria_anal%C3%ADtica" title="Geometria analítica">Geometria analítica tridimensional</a> usou a <a href="/wiki/Matem%C3%A1tica" title="Matemática">matemática</a>.</figcaption></figure><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Cartesien-system.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Cartesien-system.svg/250px-Cartesien-system.svg.png" decoding="async" width="220" height="206" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/68/Cartesien-system.svg/330px-Cartesien-system.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/68/Cartesien-system.svg/500px-Cartesien-system.svg.png 2x" data-file-width="606" data-file-height="567" /></a><figcaption>O <a href="/wiki/Sistema_de_coordenadas_cartesiano" title="Sistema de coordenadas cartesiano">tri-eixo cartesiano</a> (<a href="/wiki/Geometria_anal%C3%ADtica" title="Geometria analítica">geometria analítica</a> <a href="/wiki/Tridimensional" class="mw-redirect" title="Tridimensional">tridimensional</a>) é um <a href="/wiki/%C3%8Dcone" title="Ícone">ícone</a> do <i><b>espaço tridimensional</b></i>.</figcaption></figure> <p>O <b>espaço tridimensional</b>,<sup id="ref_nota_1" class="reference"><a href="#endnote_nota_1">[nota 1]</a></sup> de acordo com a linguística, é aquele que pode ser definido como tendo três <a href="/wiki/Dimens%C3%A3o" title="Dimensão">dimensões</a> (altura, <a href="/wiki/Percep%C3%A7%C3%A3o_de_profundidade" title="Percepção de profundidade">profundidade</a> e <a href="/wiki/Largura" title="Largura">largura</a>),<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> o que na prática indica <a href="/wiki/Relevo" title="Relevo">relevo</a>.<sup id="cite_ref-Gillan_2-0" class="reference"><a href="#cite_note-Gillan-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Os povos da <a href="/wiki/Idade_Antiga" title="Idade Antiga">antiguidade</a> trabalhavam com formas volumétricas, mas o estudo metódico do tema pode ser encontrado nos livros de <a href="/wiki/Euclides" title="Euclides">Euclides</a> que também trabalhava com o tridimensional quando estudava os <a href="/wiki/S%C3%B3lido" title="Sólido">sólidos</a> (embora a <a href="/wiki/Geometria_euclidiana" title="Geometria euclidiana">geometria euclidiana</a> se dedique a <a href="/wiki/Geometria_plana" class="mw-redirect" title="Geometria plana">geometria plana</a> que inclui o <a href="/wiki/Espa%C3%A7o_euclidiano" title="Espaço euclidiano">espaço euclidiano</a>). </p><p>A <a href="/wiki/Geometria_anal%C3%ADtica" title="Geometria analítica">geometria analítica tridimensional</a> e a <a href="/wiki/Geometria_descritiva" title="Geometria descritiva">geometria descritiva</a> trataram do espaço tridimensional de maneiras diferentes, mas com conteúdo aproximado, a primeira usou a linguagem algébrica e a segunda a geométrica.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Terceira_dimensão"><span id="Terceira_dimens.C3.A3o"></span>Terceira dimensão</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&veaction=edit&section=1" title="Editar secção: Terceira dimensão" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&action=edit&section=1" title="Editar código-fonte da secção: Terceira dimensão"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Com o surgimento da terceira dimensão, alguns problemas geométricos que não existiam no <a href="/wiki/Espa%C3%A7o_bidimensional" title="Espaço bidimensional">bidimensional</a> passaram a ser estudados, como: </p> <ul><li>distância entre planos paralelos,</li> <li>distância entre <a href="/wiki/Retas_reversas" title="Retas reversas">retas reversas</a>,</li> <li>cálculo de <a href="/wiki/Volume" title="Volume">volumes</a>,</li> <li>elaboração de sistemas projetivos<sup id="ref_nota_2" class="reference"><a href="#endnote_nota_2">[nota 2]</a></sup> etc.<sup id="cite_ref-GD_4-0" class="reference"><a href="#cite_note-GD-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Física_clássica"><span id="F.C3.ADsica_cl.C3.A1ssica"></span>Física clássica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&veaction=edit&section=2" title="Editar secção: Física clássica" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&action=edit&section=2" title="Editar código-fonte da secção: Física clássica"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A <a href="/wiki/F%C3%ADsica_newtoniana" class="mw-redirect" title="Física newtoniana">física newtoniana</a> se baseia no espaço tridimensional. Como consequências <a href="/wiki/Teoria" title="Teoria">teóricas</a> têm-se:<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <ul><li>o espaço é <a href="/wiki/Absoluto" title="Absoluto">absoluto</a>,</li> <li>o <a href="/wiki/Tempo" title="Tempo">tempo</a> é absoluto,</li> <li>o <a href="/wiki/Movimento" title="Movimento">movimento</a> é absoluto,</li> <li>intervalos de tempo são por toda a parte idênticos, sob todas as condições,</li> <li>as <a href="/wiki/Dimens%C3%A3o_(matem%C3%A1tica)" class="mw-redirect" title="Dimensão (matemática)">dimensões</a> dos corpos rígidos são independentes do estado de <a href="/wiki/Repouso" title="Repouso">repouso</a> ou <a href="/wiki/Movimento" title="Movimento">movimento</a>,</li> <li>os <a href="/wiki/Axioma" title="Axioma">axiomas</a> de Euclides permanecem verdadeiros para todo <a href="/wiki/Universo" title="Universo">Universo</a></li> <li>a <a href="/wiki/Gravita%C3%A7%C3%A3o" class="mw-redirect" title="Gravitação">gravitação</a> é devida a uma atração entre os corpos,</li> <li>raios de <a href="/wiki/Luz" title="Luz">luz</a> propagam-se em linha reta etc.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Ambiente_virtual_tridimensional">Ambiente virtual tridimensional</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&veaction=edit&section=3" title="Editar secção: Ambiente virtual tridimensional" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&action=edit&section=3" title="Editar código-fonte da secção: Ambiente virtual tridimensional"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Na <a href="/wiki/Inform%C3%A1tica" title="Informática">informática</a>, o "espaço virtual tridimensional" ou "ambiente virtual 3D", é um tipo de ambiente criado por técnicas computacionais, como a <a href="/wiki/Realidade_virtual" title="Realidade virtual">técnica realidade virtual</a> (RV), na tentativa de <a href="/wiki/Simulador" title="Simulador">simular um ambiente real</a>, uma representação mais próxima do mundo real do que uma i<a href="/wiki/Fotografia" title="Fotografia">magem com duas dimensões</a> (altura e largura); é apresentado ao usuário em um dispositivo tecnológico um ambiente virtual em três dimensões que possui recursos que dão a ideia de profundidade onde o usuário pode mover-se através dele passando uma sensação de presença real (simulação da realidade).<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Ver_também"><span id="Ver_tamb.C3.A9m"></span>Ver também</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&veaction=edit&section=4" title="Editar secção: Ver também" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&action=edit&section=4" title="Editar código-fonte da secção: Ver também"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Espa%C3%A7o_bidimensional" title="Espaço bidimensional">Espaço bidimensional</a></li> <li><a href="/wiki/Espa%C3%A7o_quadridimensional" title="Espaço quadridimensional">Espaço quadridimensional</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notas">Notas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&veaction=edit&section=5" title="Editar secção: Notas" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Espa%C3%A7o_tridimensional&action=edit&section=5" title="Editar código-fonte da secção: Notas"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small"> <dl><dd><sup><b>[nota 1]</b> <b><a href="#ref_nota_1">^</a></b></sup> <span class="citation" id="endnote_nota_1"></span> A palavra <b>espaço</b> vem do latim (spatìum,ìí) e significa <i>extensão</i>, <i>distância</i> e <i>intervalo</i>. <b>Dimensão</b> do latim (mensìo,ónis) significa <i>medida</i>.</dd></dl> </div> <div class="references-small"> <dl><dd><sup><b>[nota 2]</b> <b><a href="#ref_nota_2">^</a></b></sup> <span class="citation" id="endnote_nota_2"></span> No <a href="/wiki/Espa%C3%A7o_bidimensional" title="Espaço bidimensional">espaço bidimensional</a> seria improdutivo a criação de um sistema projetivo, porque todos os entes geométricos se reduziriam a pontos e retas, de acordo com um observador (que necessariamente estaria presente no plano). Para que exista um sistema de projeções é necessário que se tenha um observador (fora do plano), um plano de projeção e algo para ser observado (o elemento observado pode coincidir com o plano de projeção), mas não pode coincidir com o observador.</dd></dl> </div> <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"><cite class="citation book">Dicionário Eletrônico Houaiss de Língua Portuguesa 3.0 (2009). <i><span></span></i>Espaço<i> e </i>Dimensão<i><span></span></i>. [S.l.]: Objetiva Ltda</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AEspa%C3%A7o+tridimensional&rft.au=Dicion%C3%A1rio+Eletr%C3%B4nico+Houaiss+de+L%C3ngua+Portuguesa+3.0&rft.btitle=Espa%C3%A7o+e+Dimens%C3%A3o&rft.date=2009&rft.genre=book&rft.pub=Objetiva+Ltda&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-Gillan-2"><span class="mw-cite-backlink"><a href="#cite_ref-Gillan_2-0">↑</a></span> <span class="reference-text"><cite class="citation book">Rober Gillan Scott (1970). <i>Fundamentos del diseño</i>. [S.l.]: Editorial Victor Leru. p. 138</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AEspa%C3%A7o+tridimensional&rft.au=Rober+Gillan+Scott&rft.btitle=Fundamentos+del+dise%C3%B1o&rft.date=1970&rft.genre=book&rft.pub=Editorial+Victor+Leru&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">Encyclopaedia Britannica. Rio de Janeiro, São Paulo: Britannica editores LTDA, 1968. <i>Geometria descritiva</i>.</span> </li> <li id="cite_note-GD-4"><span class="mw-cite-backlink"><a href="#cite_ref-GD_4-0">↑</a></span> <span class="reference-text">Mandarino, Denis, Desenho Projetivo e Geometria Descritiva. São Paulo: Ed. Plêiade, 1996. Cap. I-VI. </span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><cite class="citation book">Dietz, David (1947). <i>História da ciência</i>. [S.l.]: Livraria José Olympio. p. 302</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AEspa%C3%A7o+tridimensional&rft.au=Dietz%2C+David&rft.btitle=Hist%C3%B3ria+da+ci%C3%AAncia&rft.date=1947&rft.genre=book&rft.pub=Livraria+Jos%C3%A9+Olympio&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><cite class="citation book">Garcia, Léo Manoel Lopes da Silva; Dias, Diego Colombo; Brega, José Remo Ferreira. <a rel="nofollow" class="external text" href="https://sites.unisanta.br/wrva/st/62392.pdf"><i>Descrição Semântica de Componentes em Ambiente Virtual 3D</i></a> <span style="font-size:85%;">(PDF)</span>. [S.l.]: Universidade Estadual Paulista</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fpt.wikipedia.org%3AEspa%C3%A7o+tridimensional&rft.au=Brega%2C+Jos%C3%A9+Remo+Ferreira&rft.au=Dias%2C+Diego+Colombo&rft.aufirst=L%C3%A9o+Manoel+Lopes+da+Silva&rft.aulast=Garcia&rft.btitle=Descri%C3%A7%C3%A3o+Sem%C3%A2ntica+de+Componentes+em+Ambiente+Virtual+3D&rft.genre=book&rft.pub=Universidade+Estadual+Paulista&rft_id=https%3A%2F%2Fsites.unisanta.br%2Fwrva%2Fst%2F62392.pdf&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <ul class="noprint navigation-box" style="border-top: solid silver 1px; border-right: solid silver 1px; border-bottom:1px solid silver; border-left: solid silver 1px; padding:3px; background-color: #F9F9F9; text-align: center; margin-top:10px; margin-left: 0; clear: both;"><li style="display: inline;"><span style="white-space: nowrap; margin: auto 1.5em"><span style="margin-right: 0.5em"><span typeof="mw:File"><a href="/wiki/Ficheiro:Circle-sector.svg" title="Portal da geometria"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Circle-sector.svg/25px-Circle-sector.svg.png" decoding="async" width="25" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Circle-sector.svg/38px-Circle-sector.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Circle-sector.svg/50px-Circle-sector.svg.png 2x" data-file-width="360" data-file-height="320" /></a></span></span> <span style="font-weight:bold"><a href="/wiki/Portal:Geometria" title="Portal:Geometria">Portal da geometria</a></span></span></li> </ul> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐75687f9f4b‐bjckp Cached time: 20250322114602 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.129 seconds Real time usage: 0.430 seconds Preprocessor visited node count: 866/1000000 Post‐expand include size: 7721/2097152 bytes Template argument size: 228/2097152 bytes Highest expansion depth: 9/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 4550/5000000 bytes Lua time usage: 0.040/10.000 seconds Lua memory usage: 1675224/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 113.487 1 -total 67.88% 77.036 1 Predefinição:Referências 60.16% 68.270 4 Predefinição:Citar_livro 21.66% 24.585 1 Predefinição:Portal3 19.37% 21.978 1 Predefinição:Portal3/Portais 2.35% 2.668 2 Predefinição:Ref_label2 2.09% 2.368 2 Predefinição:Note_label2 1.99% 2.256 1 Predefinição:Portal3/Suporte 1.71% 1.935 1 Predefinição:Esconder_link_para_editar_seção --> <!-- Saved in parser cache with key ptwiki:pcache:2757738:|#|:idhash:canonical and timestamp 20250322114602 and revision id 69186503. 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