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vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Punti,_linii_e_chiani"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Punti, linii e chiani</span> </div> </a> <ul id="toc-Punti,_linii_e_chiani-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Figuri_chiani" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Figuri_chiani"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Figuri chiani</span> </div> </a> <ul id="toc-Figuri_chiani-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tiuremi_funnamintali" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Tiuremi_funnamintali"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Tiuremi funnamintali</span> </div> </a> <ul id="toc-Tiuremi_funnamintali-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Cuurdinati_e_Sistema_di_Rifirimentu" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Cuurdinati_e_Sistema_di_Rifirimentu"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Cuurdinati e Sistema di Rifirimentu</span> </div> </a> <ul id="toc-Cuurdinati_e_Sistema_di_Rifirimentu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Applicazzioni_pràtichi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Applicazzioni_pràtichi"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Applicazzioni pràtichi</span> </div> </a> <ul id="toc-Applicazzioni_pràtichi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Giumitrìa_nun_euclidea" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Giumitrìa_nun_euclidea"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Giumitrìa nun euclidea</span> </div> </a> <ul id="toc-Giumitrìa_nun_euclidea-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="Ìnnici" 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="Ammustra/Ammuccia l'ìnnici" > <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">Ammustra/Ammuccia l'ìnnici</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">Giomitrìa euclidea</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="Va a na vuci n n'àutra lingua. Dispunìbbili n 83 lingui" > <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-83" 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">83 lingui</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/Euklidiese_meetkunde" title="Euklidiese meetkunde - afrikaans" lang="af" hreflang="af" data-title="Euklidiese meetkunde" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8B%A9%E1%8A%AD%E1%88%8A%E1%8B%B3%E1%8B%8A_%E1%8C%82%E1%8B%8E%E1%88%9C%E1%89%B5%E1%88%AA" title="ዩክሊዳዊ ጂዎሜትሪ - amàricu" lang="am" hreflang="am" data-title="ዩክሊዳዊ ጂዎሜትሪ" data-language-autonym="አማርኛ" data-language-local-name="amàricu" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%87%D9%86%D8%AF%D8%B3%D8%A9_%D8%A5%D9%82%D9%84%D9%8A%D8%AF%D9%8A%D8%A9" title="هندسة إقليدية - àrabbu" lang="ar" hreflang="ar" data-title="هندسة إقليدية" data-language-autonym="العربية" data-language-local-name="àrabbu" 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/Xeometr%C3%ADa_eucl%C3%ADdea" title="Xeometría euclídea - asturianu" lang="ast" hreflang="ast" data-title="Xeometría euclídea" data-language-autonym="Asturianu" data-language-local-name="asturianu" 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/Evklid_h%C9%99nd%C9%99s%C9%99si" title="Evklid həndəsəsi - azerbaigiano" lang="az" hreflang="az" data-title="Evklid həndəsəsi" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%D2%BB%D1%8B" title="Евклид геометрияһы - baschiro" lang="ba" hreflang="ba" data-title="Евклид геометрияһы" data-language-autonym="Башҡортса" data-language-local-name="baschiro" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Euclidean_geometry" title="Euclidean geometry - Central Bikol" lang="bcl" hreflang="bcl" data-title="Euclidean geometry" 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%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4%D0%B0%D0%B2%D0%B0_%D0%B3%D0%B5%D0%B0%D0%BC%D0%B5%D1%82%D1%80%D1%8B%D1%8F" title="Эўклідава геаметрыя - bielorusso" lang="be" hreflang="be" data-title="Эўклідава геаметрыя" 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%AD%D1%9E%D0%BA%D0%BB%D1%96%D0%B4%D0%B0%D0%B2%D0%B0_%D0%B3%D0%B5%D0%B0%D0%BC%D1%8D%D1%82%D1%80%D1%8B%D1%8F" title="Эўклідава геамэтрыя - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эўклідава геамэтрыя" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидова геометрия - bùrgaru" lang="bg" hreflang="bg" data-title="Евклидова геометрия" data-language-autonym="Български" data-language-local-name="bùrgaru" 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%87%E0%A6%89%E0%A6%95%E0%A7%8D%E0%A6%B2%E0%A6%BF%E0%A6%A1%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%9C%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF" title="ইউক্লিডীয় জ্যামিতি - bengalese" lang="bn" hreflang="bn" data-title="ইউক্লিডীয় জ্যামিতি" data-language-autonym="বাংলা" data-language-local-name="bengalese" 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/Geometria_euclidiana" title="Geometria euclidiana - catalanu" lang="ca" hreflang="ca" data-title="Geometria euclidiana" data-language-autonym="Català" data-language-local-name="catalanu" 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%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95%DB%8C_%D8%A6%DB%8C%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="ئەندازەی ئیقلیدسی - curdu cintrali" lang="ckb" hreflang="ckb" data-title="ئەندازەی ئیقلیدسی" data-language-autonym="کوردی" data-language-local-name="curdu cintrali" 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/Eukleidovsk%C3%A1_geometrie" title="Eukleidovská geometrie - cecu" lang="cs" hreflang="cs" data-title="Eukleidovská geometrie" data-language-autonym="Čeština" data-language-local-name="cecu" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D0%B9%C4%95" title="Евклид геометрийĕ - ciuvascio" lang="cv" hreflang="cv" data-title="Евклид геометрийĕ" 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/Geometreg_Euclidaidd" title="Geometreg Euclidaidd - gallisi" lang="cy" hreflang="cy" data-title="Geometreg Euclidaidd" data-language-autonym="Cymraeg" data-language-local-name="gallisi" 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/Euklidisk_geometri" title="Euklidisk geometri - danisi" lang="da" hreflang="da" data-title="Euklidisk geometri" data-language-autonym="Dansk" data-language-local-name="danisi" 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/Euklidische_Geometrie" title="Euklidische Geometrie - tidiscu" lang="de" hreflang="de" data-title="Euklidische Geometrie" data-language-autonym="Deutsch" data-language-local-name="tidiscu" 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%95%CF%85%CE%BA%CE%BB%CE%B5%CE%AF%CE%B4%CE%B5%CE%B9%CE%B1_%CE%B3%CE%B5%CF%89%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1" title="Ευκλείδεια γεωμετρία - grecu" lang="el" hreflang="el" data-title="Ευκλείδεια γεωμετρία" data-language-autonym="Ελληνικά" data-language-local-name="grecu" 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/Euclidean_geometry" title="Euclidean geometry - ngrisi" lang="en" hreflang="en" data-title="Euclidean geometry" data-language-autonym="English" data-language-local-name="ngrisi" 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/E%C5%ADklida_geometrio" title="Eŭklida geometrio - spirantu" lang="eo" hreflang="eo" data-title="Eŭklida geometrio" data-language-autonym="Esperanto" data-language-local-name="spirantu" 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/Geometr%C3%ADa_euclidiana" title="Geometría euclidiana - spagnolu" lang="es" hreflang="es" data-title="Geometría euclidiana" data-language-autonym="Español" data-language-local-name="spagnolu" 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/Eukleidese_geomeetria" title="Eukleidese geomeetria - èstuni" lang="et" hreflang="et" data-title="Eukleidese geomeetria" data-language-autonym="Eesti" data-language-local-name="èstuni" 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/Geometria_euklidear" title="Geometria euklidear - bascu" lang="eu" hreflang="eu" data-title="Geometria euklidear" data-language-autonym="Euskara" data-language-local-name="bascu" 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%87%D9%86%D8%AF%D8%B3%D9%87_%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="هندسه اقلیدسی - persiano" lang="fa" hreflang="fa" data-title="هندسه اقلیدسی" 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/Euklidinen_geometria" title="Euklidinen geometria - finlandese" lang="fi" hreflang="fi" data-title="Euklidinen geometria" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr badge-Q17437798 badge-goodarticle mw-list-item" title="vuci fatta bona"><a href="https://fr.wikipedia.org/wiki/G%C3%A9om%C3%A9trie_euclidienne" title="Géométrie euclidienne - francisi" lang="fr" hreflang="fr" data-title="Géométrie euclidienne" data-language-autonym="Français" data-language-local-name="francisi" 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/Xeometr%C3%ADa_euclidiana" title="Xeometría euclidiana - galizzianu" lang="gl" hreflang="gl" data-title="Xeometría euclidiana" data-language-autonym="Galego" data-language-local-name="galizzianu" 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%AF%E0%AB%81%E0%AA%95%E0%AB%8D%E0%AA%B2%E0%AA%BF%E0%AA%A1%E0%AA%BF%E0%AA%AF%E0%AA%A8_%E0%AA%AD%E0%AB%82%E0%AA%AE%E0%AA%BF%E0%AA%A4%E0%AA%BF" title="યુક્લિડિયન ભૂમિતિ - gujarati" lang="gu" hreflang="gu" data-title="યુક્લિડિયન ભૂમિતિ" 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/Euclid_K%C3%AD-h%C3%B2" title="Euclid Kí-hò - hakka" lang="hak" hreflang="hak" data-title="Euclid Kí-hò" 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%92%D7%90%D7%95%D7%9E%D7%98%D7%A8%D7%99%D7%94_%D7%90%D7%95%D7%A7%D7%9C%D7%99%D7%93%D7%99%D7%AA" title="גאומטריה אוקלידית - ebbràicu" lang="he" hreflang="he" data-title="גאומטריה אוקלידית" data-language-autonym="עברית" data-language-local-name="ebbràicu" 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%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="यूक्लिडीय ज्यामिति - hindi" lang="hi" hreflang="hi" data-title="यूक्लिडीय ज्यामिति" 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/Euklidska_geometrija" title="Euklidska geometrija - cruatu" lang="hr" hreflang="hr" data-title="Euklidska geometrija" data-language-autonym="Hrvatski" data-language-local-name="cruatu" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Euklideszi_geometria" title="Euklideszi geometria - unghirisi" lang="hu" hreflang="hu" data-title="Euklideszi geometria" data-language-autonym="Magyar" data-language-local-name="unghirisi" 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/%D4%B7%D5%BE%D5%AF%D5%AC%D5%AB%D5%A4%D5%A5%D5%BD%D5%B5%D5%A1%D5%B6_%D5%A5%D6%80%D5%AF%D6%80%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Էվկլիդեսյան երկրաչափություն - armenu" lang="hy" hreflang="hy" data-title="Էվկլիդեսյան երկրաչափություն" data-language-autonym="Հայերեն" data-language-local-name="armenu" 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/Geometri_Euklides" title="Geometri Euklides - indonesiano" lang="id" hreflang="id" data-title="Geometri Euklides" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Geometria_euclidea" title="Geometria euclidea - talianu" lang="it" hreflang="it" data-title="Geometria euclidea" data-language-autonym="Italiano" data-language-local-name="talianu" 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%A6%E3%83%BC%E3%82%AF%E3%83%AA%E3%83%83%E3%83%89%E5%B9%BE%E4%BD%95%E5%AD%A6" title="ユークリッド幾何学 - giappunisi" lang="ja" hreflang="ja" data-title="ユークリッド幾何学" data-language-autonym="日本語" data-language-local-name="giappunisi" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/euklidi_tamcmaci" title="euklidi tamcmaci - lojban" lang="jbo" hreflang="jbo" data-title="euklidi tamcmaci" data-language-autonym="La .lojban." data-language-local-name="lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Euclidean_Geometry" title="Euclidean Geometry - kikuyu" lang="ki" hreflang="ki" data-title="Euclidean Geometry" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuyu" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D1%82%D1%96%D0%BA_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидтік геометрия - kazako" lang="kk" hreflang="kk" data-title="Евклидтік геометрия" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AF%E0%B3%82%E0%B2%95%E0%B3%8D%E0%B2%B2%E0%B2%BF%E0%B2%A1%E0%B3%80%E0%B2%AF_%E0%B2%9C%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%AE%E0%B2%BF%E0%B2%A4%E0%B2%BF" title="ಯೂಕ್ಲಿಡೀಯ ಜ್ಯಾಮಿತಿ - kannada" lang="kn" hreflang="kn" data-title="ಯೂಕ್ಲಿಡೀಯ ಜ್ಯಾಮಿತಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B8%B0%ED%95%98%ED%95%99" title="유클리드 기하학 - curianu" lang="ko" hreflang="ko" data-title="유클리드 기하학" data-language-autonym="한국어" data-language-local-name="curianu" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%D1%81%D1%8B" title="Евклид геометриясы - kirghiso" lang="ky" hreflang="ky" data-title="Евклид геометриясы" 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/Geometria_Euclidea" title="Geometria Euclidea - latinu" lang="la" hreflang="la" data-title="Geometria Euclidea" data-language-autonym="Latina" data-language-local-name="latinu" 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/Jeometria_euclidal" title="Jeometria euclidal - Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Jeometria euclidal" 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-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Euklidin%C4%97_geometrija" title="Euklidinė geometrija - lituanu" lang="lt" hreflang="lt" data-title="Euklidinė geometrija" data-language-autonym="Lietuvių" data-language-local-name="lituanu" 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/Eikl%C4%ABda_%C4%A3eometrija" title="Eiklīda ģeometrija - lèttuni" lang="lv" hreflang="lv" data-title="Eiklīda ģeometrija" data-language-autonym="Latviešu" data-language-local-name="lèttuni" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Евклидова геометрија - macèduni" lang="mk" hreflang="mk" data-title="Евклидова геометрија" data-language-autonym="Македонски" data-language-local-name="macèduni" 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%AF%E0%B5%82%E0%B4%95%E0%B5%8D%E0%B4%B2%E0%B4%BF%E0%B4%A1%E0%B4%BF%E0%B4%AF%E0%B5%BB_%E0%B4%9C%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%AE%E0%B4%BF%E0%B4%A4%E0%B4%BF" title="യൂക്ലിഡിയൻ ജ്യാമിതി - malayalam" lang="ml" hreflang="ml" data-title="യൂക്ലിഡിയൻ ജ്യാമിതി" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%B8%D0%B9%D0%BD_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80" title="Евклидийн геометр - mòngulu" lang="mn" hreflang="mn" data-title="Евклидийн геометр" data-language-autonym="Монгол" data-language-local-name="mòngulu" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Geometri_Euclid" title="Geometri Euclid - malese" lang="ms" hreflang="ms" data-title="Geometri Euclid" 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-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Euclidische_meetkunde" title="Euclidische meetkunde - ulannisi" lang="nl" hreflang="nl" data-title="Euclidische meetkunde" data-language-autonym="Nederlands" data-language-local-name="ulannisi" 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/Euklidsk_geometri" title="Euklidsk geometri - nurviggisi Nynorsk" lang="nn" hreflang="nn" data-title="Euklidsk geometri" data-language-autonym="Norsk nynorsk" data-language-local-name="nurviggisi 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/Euklidsk_geometri" title="Euklidsk geometri - nurviggisi Bokmål" lang="nb" hreflang="nb" data-title="Euklidsk geometri" data-language-autonym="Norsk bokmål" data-language-local-name="nurviggisi 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/Geometria_euclidiana" title="Geometria euclidiana - occitano" lang="oc" hreflang="oc" data-title="Geometria euclidiana" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Geometria_euklidesowa" title="Geometria euklidesowa - pulaccu" lang="pl" hreflang="pl" data-title="Geometria euklidesowa" data-language-autonym="Polski" data-language-local-name="pulaccu" 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/Geometr%C3%ACa_euclid%C3%A9a" title="Geometrìa euclidéa - piemontese" lang="pms" hreflang="pms" data-title="Geometrìa euclidéa" data-language-autonym="Piemontèis" data-language-local-name="piemontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Geometria_euclidiana" title="Geometria euclidiana - purtughisi" lang="pt" hreflang="pt" data-title="Geometria euclidiana" data-language-autonym="Português" data-language-local-name="purtughisi" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Geometrie_euclidian%C4%83" title="Geometrie euclidiană - rumenu" lang="ro" hreflang="ro" data-title="Geometrie euclidiană" data-language-autonym="Română" data-language-local-name="rumenu" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидова геометрия - russu" lang="ru" hreflang="ru" data-title="Евклидова геометрия" data-language-autonym="Русский" data-language-local-name="russu" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D1%81%D0%BA%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидовска геометрия - ruteno" lang="rue" hreflang="rue" data-title="Евклидовска геометрия" data-language-autonym="Русиньскый" data-language-local-name="ruteno" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Euklidova_geometrija" title="Euklidova geometrija - serbo-croato" lang="sh" hreflang="sh" data-title="Euklidova geometrija" 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-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%BA%E0%B7%96%E0%B6%9A%E0%B7%8A%E0%B6%BD%E0%B7%92%E0%B6%A9%E0%B7%92%E0%B6%BA%E0%B7%8F%E0%B6%B1%E0%B7%94_%E0%B6%A2%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%8F%E0%B6%B8%E0%B7%92%E0%B6%AD%E0%B7%92%E0%B6%BA" title="යූක්ලිඩියානු ජ්‍යාමිතිය - singalese" lang="si" hreflang="si" data-title="යූක්ලිඩියානු ජ්‍යාමිතිය" data-language-autonym="සිංහල" data-language-local-name="singalese" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Euclidean_geometry" title="Euclidean geometry - Simple English" lang="en-simple" hreflang="en-simple" data-title="Euclidean geometry" 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/Euklidovsk%C3%A1_geometria" title="Euklidovská geometria - sluvaccu" lang="sk" hreflang="sk" data-title="Euklidovská geometria" data-language-autonym="Slovenčina" data-language-local-name="sluvaccu" 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/Evklidska_geometrija" title="Evklidska geometrija - sluvenu" lang="sl" hreflang="sl" data-title="Evklidska geometrija" data-language-autonym="Slovenščina" data-language-local-name="sluvenu" 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/Gjeometria_euklidiane" title="Gjeometria euklidiane - arbanisi" lang="sq" hreflang="sq" data-title="Gjeometria euklidiane" data-language-autonym="Shqip" data-language-local-name="arbanisi" 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%95%D1%83%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Еуклидова геометрија - serbu" lang="sr" hreflang="sr" data-title="Еуклидова геометрија" data-language-autonym="Српски / srpski" data-language-local-name="serbu" 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/Euklidisk_geometri" title="Euklidisk geometri - svidisi" lang="sv" hreflang="sv" data-title="Euklidisk geometri" data-language-autonym="Svenska" data-language-local-name="svidisi" 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%AF%E0%AF%82%E0%AE%95%E0%AF%8D%E0%AE%B3%E0%AF%80%E0%AE%9F%E0%AF%8D_%E0%AE%B5%E0%AE%9F%E0%AE%BF%E0%AE%B5%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D" title="யூக்ளீட் வடிவியல் - tamil" lang="ta" hreflang="ta" data-title="யூக்ளீட் வடிவியல்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D2%B2%D0%B0%D0%BD%D0%B4%D0%B0%D1%81%D0%B0%D0%B8_%D1%83%D2%9B%D0%BB%D0%B8%D0%B4%D1%83%D1%81%D3%A3" title="Ҳандасаи уқлидусӣ - tagico" lang="tg" hreflang="tg" data-title="Ҳандасаи уқлидусӣ" 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%B9%80%E0%B8%A3%E0%B8%82%E0%B8%B2%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B9%81%E0%B8%9A%E0%B8%9A%E0%B8%A2%E0%B8%B8%E0%B8%84%E0%B8%A5%E0%B8%B4%E0%B8%94" title="เรขาคณิตแบบยุคลิด - thailandese" lang="th" hreflang="th" data-title="เรขาคณิตแบบยุคลิด" data-language-autonym="ไทย" data-language-local-name="thailandese" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%96klid_geometrisi" title="Öklid geometrisi - turcu" lang="tr" hreflang="tr" data-title="Öklid geometrisi" data-language-autonym="Türkçe" data-language-local-name="turcu" 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%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D1%87%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Евклидча геометрия - tataro" lang="tt" hreflang="tt" data-title="Евклидча геометрия" 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%95%D0%B2%D0%BA%D0%BB%D1%96%D0%B4%D0%BE%D0%B2%D0%B0_%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F" title="Евклідова геометрія - ucraino" lang="uk" hreflang="uk" data-title="Евклідова геометрія" data-language-autonym="Українська" data-language-local-name="ucraino" 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/Yevklid_geometriyasi" title="Yevklid geometriyasi - uzbeku" lang="uz" hreflang="uz" data-title="Yevklid geometriyasi" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbeku" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%C3%ACnh_h%E1%BB%8Dc_Euclid" title="Hình học Euclid - vietnamita" lang="vi" hreflang="vi" data-title="Hình học Euclid" 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/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%87%A0%E4%BD%95" title="欧几里得几何 - wu" lang="wuu" hreflang="wuu" data-title="欧几里得几何" 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-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B5%9C%E2%B4%B0%E2%B5%8F%E2%B5%A3%E2%B4%B3%E2%B4%B3%E2%B5%89%E2%B5%9C_%E2%B5%9C%E2%B5%93%E2%B4%BD%E2%B5%8D%E2%B5%89%E2%B4%B7%E2%B5%9C" title="ⵜⴰⵏⵣⴳⴳⵉⵜ ⵜⵓⴽⵍⵉⴷⵜ - tamazight del Marocco standard" lang="zgh" hreflang="zgh" data-title="ⵜⴰⵏⵣⴳⴳⵉⵜ ⵜⵓⴽⵍⵉⴷⵜ" 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%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E5%87%A0%E4%BD%95" title="欧几里得几何 - cinisi" lang="zh" hreflang="zh" data-title="欧几里得几何" data-language-autonym="中文" data-language-local-name="cinisi" 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%90%E6%B0%8F%E5%B9%BE%E4%BD%95" title="歐氏幾何 - cinese classico" lang="lzh" hreflang="lzh" data-title="歐氏幾何" 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-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%AD%90%E5%B9%BE%E9%87%8C%E5%BE%97%E5%B9%BE%E4%BD%95" title="歐幾里得幾何 - cantunisi" lang="yue" hreflang="yue" data-title="歐幾里得幾何" data-language-autonym="粵語" data-language-local-name="cantunisi" 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/Q162886#sitelinks-wikipedia" title="Cancia li culligamenti di lingua" class="wbc-editpage">Cancia li culligamenti</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="Namespace"> <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 href="/wiki/Giomitr%C3%ACa_euclidea" title="Vidi l'artìculu [c]" accesskey="c"><span>artìculu</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Discussioni:Giomitr%C3%ACa_euclidea&action=edit&redlink=1" rel="discussion" class="new" title="Vidi li discussioni rilativi a sta pàggina (nun ancora scrivutu) [t]" accesskey="t"><span>Discussioni</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cancia virsioni linguìstica" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">sicilianu</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Vìsiti"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Giomitr%C3%ACa_euclidea"><span>Leggi</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit" title="Cancia sta pàggina [v]" accesskey="v"><span>Cancia</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit" title="Cancia lu codici surgenti di sta pàggina [e]" accesskey="e"><span>Cancia surgenti</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=history" title="Virsioni pricidenti di sta pàggina. [h]" accesskey="h"><span>Talìa la crunuluggìa</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Strummenta pàggina"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Strumenta" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Strumenta</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Strummenta</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">sposta nella barra laterale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ammuccia</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Àutri opzioni" > <div class="vector-menu-heading"> Azzioni </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Giomitr%C3%ACa_euclidea"><span>Leggi</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit" title="Cancia sta pàggina [v]" accesskey="v"><span>Cancia</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit" title="Cancia lu codici surgenti di sta pàggina [e]" accesskey="e"><span>Cancia surgenti</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=history"><span>Talìa la crunuluggìa</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Ginirali </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Spiciali:PuntanoQui/Giomitr%C3%ACa_euclidea" title="Alencu di tutti li pàggini ca sunnu culligati a chista [j]" accesskey="j"><span>Chi punta ccà</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Spiciali:ModificheCorrelate/Giomitr%C3%ACa_euclidea" rel="nofollow" title="Alencu di l'ùrtimi canciamenti ê pàggini culligati a chista [k]" accesskey="k"><span>Canciamenti culligati</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=scn" title="Càrrica mmàggini o file multimidiali [u]" accesskey="u"><span>Càrrica nu file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Spiciali:PagineSpeciali" title="Lista di tutti li pàggini spiciali [q]" accesskey="q"><span>Pàggini spiciali</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&oldid=757505" title="Liami pirmanenti a chista virsioni dâ pàggina"><span>Liami pirmanenti</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=info" title="Àutri nfurmazzioni a prupòsitu di sta pàggina"><span>Nfurmazzioni ncapu la pàggina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Spiciali:Cita&page=Giomitr%C3%ACa_euclidea&id=757505&wpFormIdentifier=titleform" title="Nfurmazzioni pi comu citari sta pàggina"><span>Cita st'artìculu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Spiciali:UrlShortener&url=https%3A%2F%2Fscn.wikipedia.org%2Fwiki%2FGiomitr%25C3%25ACa_euclidea"><span>Utteni URL brevi</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Spiciali:QrCode&url=https%3A%2F%2Fscn.wikipedia.org%2Fwiki%2FGiomitr%25C3%25ACa_euclidea"><span>Scarica codice QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Stampa/esporta </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Spiciali:Libro&bookcmd=book_creator&referer=Giomitr%C3%ACa+euclidea"><span>Crea nu libbru</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Spiciali:DownloadAsPdf&page=Giomitr%C3%ACa_euclidea&action=show-download-screen"><span>Scàrrica comu PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&printable=yes" title="Virsioni stampabbili di chista pàggina [p]" accesskey="p"><span>Virsioni stampàbbili</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> N àutri pruggetti </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Euclidean_geometry" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q162886" title="Culligamentu ô suggettu assuciatu ntô dipòsitu dati [g]" accesskey="g"><span>Suggettu nta Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Strummenta pàggina"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aspettu"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" 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id="siteSub" class="noprint">Dâ Wikipedia, la nciclupidìa lìbbira.</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="scn" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno,_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf/page1-220px-Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf.jpg" decoding="async" width="220" height="311" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf/page1-330px-Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/95/Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf/page1-440px-Proposizioni_di_geometria_scelte_da%27_primi_sei_libri_di_Euclide_che_dimostreranno%2C_applicheranno_a_varj_usi_e_libereranno_da_ogni_difficolt%C3%A0.pdf.jpg 2x" data-file-width="1002" data-file-height="1416" /></a><figcaption>Li funnamenta dâ giomitrìa euclidea forru enunciati di <a href="/wiki/Euclidi" title="Euclidi">Euclidi</a> ô tempu dâ <a href="/wiki/Grecia_antica" title="Grecia antica">Grecia antica</a></figcaption></figure> <p>La <b>giomitrìa euclidea</b> è na vranca dâ <a href="/wiki/Giometr%C3%ACa" title="Giometrìa">giomitrìa</a> chi si basa supra l'assioma e li postulati furmulati dû matimàticu grecu Euclidi ntô sò cèlibbri trattatu "Elimenti". È la giomitrìa ca studia li pruprietà dî figuri chiatti e sòlidi ntô spazziu bidiminziunali e tridiminziunali. L'assioma principali di Euclidi sunnu: </p> <ul><li>Du’ punta ditirminanu na linia dritta.</li> <li>Na linia dritta po èssiri allargata ô nfinitu.</li> <li>Si po disignari un cerchiu cu ogni centru e raggiu.</li> <li>Tutti l’ànguli ritti su’ uguali.</li> <li>Si na linia ntèrsica du' linii e forma ànguli nterni dû stissu latu ca sunnu cchiù nichi di du' ànguli retti, allura li du' lini si ncòntranu.</li></ul> <p>Sta giomitrìa è carattirizzata di cuncetti comu punti, linii, chiani, ànguli, pulìguni e sòlidi, e è â basi dâ giomitrìa tradizziunali. Veni usatu nta diversi disciplini, dâ matimàtica â fìsica, di l'architittura â ncignirìa. </p><p>La giumitrìa euclidea pò èssiri esplurata prufunnamenti nta diversi aspetti chiavi: </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading3"><h3 id="Assiomi_e_postulati">Assiomi e postulati</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=1" title="Cancia la sizzioni Assiomi e postulati" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=1" title="Edit section's source code: Assiomi e postulati"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'assioma di Euclidi sunnu prupusizzioni funnamintali ca nun hannu bisognu di dimustrazzioni Li cincu postulati principali stabbilisciunu li basi dâ giomitrìa euclidea, cu lu quintu, canusciutu comu "assioma parallelu", affirmannu ca siddu na linia ntèrsica àutri dui linii facennu anguli nterni cchiù nichi di dui retti, li dui linii si ncuntranu. </p> <div class="mw-heading mw-heading3"><h3 id="Punti,_linii_e_chiani"><span id="Punti.2C_linii_e_chiani"></span>Punti, linii e chiani</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=2" title="Cancia la sizzioni Punti, linii e chiani" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=2" title="Edit section's source code: Punti, linii e chiani"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Puntu: n'entità senza diminziuna, ca rapprisenta na pusizzioni nnô spazziu. Linia: na succissiuni nfinita di punta ca s'allunga nta tutti du' li dirizzioni, cu na diminziuni (lunghizza). Chianu: na supirfici chiana nfinita, senza spissuri, difinuta di armenu tri punta nun alliniati. </p> <div class="mw-heading mw-heading3"><h3 id="Figuri_chiani">Figuri chiani</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=3" title="Cancia la sizzioni Figuri chiani" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=3" title="Edit section's source code: Figuri chiani"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Li figuri chiani su’ li furmi bidiminziunali. Quarchi esempiu sunu li <a href="/wiki/Tri%C3%A0nculu" title="Triànculu">triànguli</a>, Classificati a secunna di l'ànguli (acuti, ottusi, dritti) o dî lati (equilàtiri, isòscili, scaleni), li quadrilàtiri: cumprenni <a href="/wiki/Ritt%C3%A0nculu" title="Rittànculu">rittànguli</a>, <a href="/wiki/Quatratu" title="Quatratu">quatrati</a>, <a href="/w/index.php?title=Trapezziu&action=edit&redlink=1" class="new" title="Trapezziu (nun ancora scrivutu)">trapezzi</a> e <a href="/w/index.php?title=Parallelugrammu&action=edit&redlink=1" class="new" title="Parallelugrammu (nun ancora scrivutu)">parallelugrammi</a>, ognunu cu prupità spicìfichi; e li <a href="/wiki/Circunfirenza" title="Circunfirenza">cerchi</a>: difiniti di nu centru e di nu raggiu, cu elimenti comu lu diàmitru, l'arcu e la corda. </p> <div class="mw-heading mw-heading3"><h3 id="Tiuremi_funnamintali">Tiuremi funnamintali</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=4" title="Cancia la sizzioni Tiuremi funnamintali" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=4" title="Edit section's source code: Tiuremi funnamintali"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Arcuni tiuremi mpurtanti sunnu: <a href="/wiki/Tiurema_di_Pitagora" title="Tiurema di Pitagora">Tiurema di Pitagora</a>: Rilazzioni tra li lati di nu trianculu rittànculu, unni <\math>a^2 + b^2 = c^2 <\math> . Lu <a href="/w/index.php?title=Tiurema_di_Euclidi&action=edit&redlink=1" class="new" title="Tiurema di Euclidi (nun ancora scrivutu)">Tiurema di Euclidi</a> supra li prupurzioni: Supra la rilazzioni tra li lunchizzi dî lati e l'anculi nti triànguli sìmili. 5. Giumitrìa dî sòlidi Allarga la giomitrìa chiana a furmi a tri diminsioni, comu: Prismi: sòlidi cu basi paralleli e facci latirali rittangulari. Piràmidi: sòlidi cu na basi puligunali e facci triangulari ca s'ancòntranu nta nu puntu (vèrtici). Sferi, cilìnnari e coni: furmi cu prupità spicìfichi riguardu la curvatura e li vulumi. </p> <div class="mw-heading mw-heading3"><h3 id="Cuurdinati_e_Sistema_di_Rifirimentu">Cuurdinati e Sistema di Rifirimentu</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=5" title="Cancia la sizzioni Cuurdinati e Sistema di Rifirimentu" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=5" title="Edit section's source code: Cuurdinati e Sistema di Rifirimentu"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La giumitrìa euclidea pò èssiri analizzata puru tràmiti nu sistema di cuurdinati, comu lu pianu cartisianu, unni li punti sunnu difinuti di para di cuurdinati ( x , y ) (x, y). St'approcciu pirmetti di usari l'equazziuna pi riprisintari furmi giumètrichi e arrisòrbiri prubblemi. </p> <div class="mw-heading mw-heading2"><h2 id="Applicazzioni_pràtichi"><span id="Applicazzioni_pr.C3.A0tichi"></span>Applicazzioni pràtichi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=6" title="Cancia la sizzioni Applicazzioni pràtichi" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=6" title="Edit section's source code: Applicazzioni pràtichi"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La giumitrìa euclidea àvi tanti applicazzioni pràtichi, tra cui: Architittura e ncignirìa: pruggettazzioni di strutturi e spazzi. Cartugrafìa: rapprisintazzioni e navigazzioni ncapu li mappi. Fìsica: discrizzioni di traiettori e forzi. </p> <div class="mw-heading mw-heading2"><h2 id="Giumitrìa_nun_euclidea"><span id="Giumitr.C3.ACa_nun_euclidea"></span>Giumitrìa nun euclidea</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&veaction=edit&section=7" title="Cancia la sizzioni Giumitrìa nun euclidea" class="mw-editsection-visualeditor"><span>cancia</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Giomitr%C3%ACa_euclidea&action=edit&section=7" title="Edit section's source code: Giumitrìa nun euclidea"><span>cancia la surgenti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ci sunnu puru giumitrìi altirnativi, comu chidda iperbòlica e chidda ellìttica, chi si diviàvanu di l'assioma Euclidei, supratuttu pi quantu riguarda l'assioma parallelu. Chisti sunnu sulu arcuni di l'aspetti cchiù dittagghiati dâ giumitrìa euclidea, chi havi na mpurtanza funnamintali sia 'n matimàtica ca nta l'applicazzioni pràtichi dâ vita di tutti li jorna. </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Estrattu di "<a dir="ltr" href="https://scn.wikipedia.org/w/index.php?title=Giomitrìa_euclidea&oldid=757505">https://scn.wikipedia.org/w/index.php?title=Giomitrìa_euclidea&oldid=757505</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Spiciali:Categorie" title="Spiciali:Categorie">Catigurìa</a>: <ul><li><a href="/wiki/Catigur%C3%ACa:Matim%C3%A0tica" title="Catigurìa:Matimàtica">Matimàtica</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Sta pàggina fu canciata a 08:48 di lu 3 nuv 2024.</li> <li id="footer-info-copyright">Stu testu è dispunìbbili sutta â <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.it">Licenza Creative Commons Attribuzzioni/Spartuta dâ stissa manera</a>; si ponnu applicari àutri cunnizzioni. 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