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Luzera (geometria) - Wikipedia, entziklopedia askea.
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class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Kontzeptu matematikoa</span> </div> </a> <ul id="toc-Kontzeptu_matematikoa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kontzeptu_fisikoa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kontzeptu_fisikoa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Kontzeptu fisikoa</span> </div> </a> <ul id="toc-Kontzeptu_fisikoa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Luzera-unitatea" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Luzera-unitatea"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Luzera-unitatea</span> </div> </a> <ul id="toc-Luzera-unitatea-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Oharrak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Oharrak"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Oharrak</span> </div> </a> <ul id="toc-Oharrak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ikus,_gainera" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ikus,_gainera"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Ikus, gainera</span> </div> </a> <ul id="toc-Ikus,_gainera-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-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="Edukiak" 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="Eduki taularen ikusgarritasuna aldatu" > <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">Eduki taularen ikusgarritasuna aldatu</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">Luzera (geometria)</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="Joan beste hizkuntza batean idatzitako artikulu batera. 119 hizkuntzatan eskuragarri." > <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-119" 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">119 hizkuntza</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/Lengte" title="Lengte – afrikaansa" lang="af" hreflang="af" data-title="Lengte" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Longaria" title="Longaria – aragoiera" lang="an" hreflang="an" data-title="Longaria" data-language-autonym="Aragonés" data-language-local-name="aragoiera" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B2%E0%A4%82%E0%A4%AC%E0%A4%BE%E0%A4%88" title="लंबाई – angikera" lang="anp" hreflang="anp" data-title="लंबाई" data-language-autonym="अंगिका" data-language-local-name="angikera" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B7%D9%88%D9%84" title="طول – arabiera" lang="ar" hreflang="ar" data-title="طول" data-language-autonym="العربية" data-language-local-name="arabiera" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%90%DC%98%DC%AA%DC%9F%DC%90" title="ܐܘܪܟܐ – Aramaic" lang="arc" hreflang="arc" data-title="ܐܘܪܟܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="Aramaic" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D8%B7%D9%88%D9%84" title="طول – Moroccan Arabic" lang="ary" hreflang="ary" data-title="طول" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Llargor" title="Llargor – asturiera" lang="ast" hreflang="ast" data-title="Llargor" data-language-autonym="Asturianu" data-language-local-name="asturiera" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-atj mw-list-item"><a href="https://atj.wikipedia.org/wiki/Tipahikinatikw" title="Tipahikinatikw – atikamekwera" lang="atj" hreflang="atj" data-title="Tipahikinatikw" data-language-autonym="Atikamekw" data-language-local-name="atikamekwera" class="interlanguage-link-target"><span>Atikamekw</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Uzunluq" title="Uzunluq – azerbaijanera" lang="az" hreflang="az" data-title="Uzunluq" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" 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%D8%B2%D9%88%D9%86%D9%84%D9%88%D9%82" title="اوزونلوق – South Azerbaijani" lang="azb" hreflang="azb" data-title="اوزونلوق" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9E%D2%99%D0%BE%D0%BD%D0%BB%D0%BE%D2%A1" title="Оҙонлоҡ – baxkirera" lang="ba" hreflang="ba" data-title="Оҙонлоҡ" data-language-autonym="Башҡортса" data-language-local-name="baxkirera" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/L%C3%A4ng" title="Läng – Bavarian" lang="bar" hreflang="bar" data-title="Läng" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/%C4%96lgoms" title="Ėlgoms – Samogitian" lang="sgs" hreflang="sgs" data-title="Ėlgoms" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Laba" title="Laba – Central Bikol" lang="bcl" hreflang="bcl" data-title="Laba" 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%94%D0%B0%D1%9E%D0%B6%D1%8B%D0%BD%D1%8F" title="Даўжыня – bielorrusiera" lang="be" hreflang="be" data-title="Даўжыня" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" 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%94%D0%B0%D1%9E%D0%B6%D1%8B%D0%BD%D1%8F" title="Даўжыня – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Даўжыня" 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%94%D1%8A%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0" title="Дължина – bulgariera" lang="bg" hreflang="bg" data-title="Дължина" data-language-autonym="Български" data-language-local-name="bulgariera" 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%A6%E0%A7%88%E0%A6%B0%E0%A7%8D%E0%A6%98%E0%A7%8D%E0%A6%AF" title="দৈর্ঘ্য – bengalera" lang="bn" hreflang="bn" data-title="দৈর্ঘ্য" data-language-autonym="বাংলা" data-language-local-name="bengalera" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Hed" title="Hed – bretoiera" lang="br" hreflang="br" data-title="Hed" data-language-autonym="Brezhoneg" data-language-local-name="bretoiera" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Du%C5%BEina" title="Dužina – bosniera" lang="bs" hreflang="bs" data-title="Dužina" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Longitud" title="Longitud – katalana" lang="ca" hreflang="ca" data-title="Longitud" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/D%C3%B2ng-d%C3%B4" title="Dòng-dô – Mindong" lang="cdo" hreflang="cdo" data-title="Dòng-dô" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AF%D8%B1%DB%8E%DA%98%DB%8C" title="درێژی – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="درێژی" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" 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/D%C3%A9lka" title="Délka – txekiera" lang="cs" hreflang="cs" data-title="Délka" data-language-autonym="Čeština" data-language-local-name="txekiera" 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%C4%83%D1%80%C4%83%D0%BC%C4%83%D1%88" title="Вăрăмăш – txuvaxera" lang="cv" hreflang="cv" data-title="Вăрăмăш" data-language-autonym="Чӑвашла" data-language-local-name="txuvaxera" 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/Hyd" title="Hyd – galesa" lang="cy" hreflang="cy" data-title="Hyd" data-language-autonym="Cymraeg" data-language-local-name="galesa" 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/L%C3%A6ngde" title="Længde – daniera" lang="da" hreflang="da" data-title="Længde" data-language-autonym="Dansk" data-language-local-name="daniera" 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/L%C3%A4nge_(Physik)" title="Länge (Physik) – alemana" lang="de" hreflang="de" data-title="Länge (Physik)" data-language-autonym="Deutsch" data-language-local-name="alemana" 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%9C%CE%AE%CE%BA%CE%BF%CF%82" title="Μήκος – greziera" lang="el" hreflang="el" data-title="Μήκος" data-language-autonym="Ελληνικά" data-language-local-name="greziera" 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/Length" title="Length – ingelesa" lang="en" hreflang="en" data-title="Length" data-language-autonym="English" data-language-local-name="ingelesa" 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/Longo" title="Longo – esperantoa" lang="eo" hreflang="eo" data-title="Longo" data-language-autonym="Esperanto" data-language-local-name="esperantoa" 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/Longitud" title="Longitud – gaztelania" lang="es" hreflang="es" data-title="Longitud" data-language-autonym="Español" data-language-local-name="gaztelania" 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/Pikkus" title="Pikkus – estoniera" lang="et" hreflang="et" data-title="Pikkus" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Longol" title="Longol – Extremaduran" lang="ext" hreflang="ext" data-title="Longol" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B7%D9%88%D9%84" title="طول – persiera" lang="fa" hreflang="fa" data-title="طول" data-language-autonym="فارسی" data-language-local-name="persiera" 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/Pituus" title="Pituus – finlandiera" lang="fi" hreflang="fi" data-title="Pituus" data-language-autonym="Suomi" data-language-local-name="finlandiera" 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/Longueur" title="Longueur – frantsesa" lang="fr" hreflang="fr" data-title="Longueur" data-language-autonym="Français" data-language-local-name="frantsesa" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Lengde" title="Lengde – iparraldeko frisiera" lang="frr" hreflang="frr" data-title="Lengde" data-language-autonym="Nordfriisk" data-language-local-name="iparraldeko frisiera" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Fad" title="Fad – irlandera" lang="ga" hreflang="ga" data-title="Fad" data-language-autonym="Gaeilge" data-language-local-name="irlandera" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/L%C3%A8_(j%C3%A9om%C3%A9tri)" title="Lè (jéométri) – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Lè (jéométri)" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Lonxitude" title="Lonxitude – galiziera" lang="gl" hreflang="gl" data-title="Lonxitude" data-language-autonym="Galego" data-language-local-name="galiziera" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Chh%C3%B2ng-thu" title="Chhòng-thu – Hakka Chinese" lang="hak" hreflang="hak" data-title="Chhòng-thu" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" 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%90%D7%95%D7%A8%D7%9A" title="אורך – hebreera" lang="he" hreflang="he" data-title="אורך" data-language-autonym="עברית" data-language-local-name="hebreera" 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%B2%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%BE%E0%A4%88" title="लम्बाई – hindia" lang="hi" hreflang="hi" data-title="लम्बाई" data-language-autonym="हिन्दी" data-language-local-name="hindia" 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/Duljina" title="Duljina – kroaziera" lang="hr" hreflang="hr" data-title="Duljina" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" 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/Hossz%C3%BAs%C3%A1g" title="Hosszúság – hungariera" lang="hu" hreflang="hu" data-title="Hosszúság" data-language-autonym="Magyar" data-language-local-name="hungariera" 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%B5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Երկարություն – armeniera" lang="hy" hreflang="hy" data-title="Երկարություն" data-language-autonym="Հայերեն" data-language-local-name="armeniera" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%B5%D6%80%D5%AF%D5%A1%D6%80%D5%B8%D6%82%D5%A9%D5%AB%D6%82%D5%B6" title="Երկարութիւն – Western Armenian" lang="hyw" hreflang="hyw" data-title="Երկարութիւն" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Longitude" title="Longitude – interlingua" lang="ia" hreflang="ia" data-title="Longitude" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Panjang" title="Panjang – indonesiera" lang="id" hreflang="id" data-title="Panjang" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Lengd" title="Lengd – islandiera" lang="is" hreflang="is" data-title="Lengd" data-language-autonym="Íslenska" data-language-local-name="islandiera" 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/Lunghezza" title="Lunghezza – italiera" lang="it" hreflang="it" data-title="Lunghezza" data-language-autonym="Italiano" data-language-local-name="italiera" 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/%E9%95%B7%E3%81%95" title="長さ – japoniera" lang="ja" hreflang="ja" data-title="長さ" data-language-autonym="日本語" data-language-local-name="japoniera" 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%98%E1%83%92%E1%83%A0%E1%83%AB%E1%83%94" title="სიგრძე – georgiera" lang="ka" hreflang="ka" data-title="სიგრძე" data-language-autonym="ქართული" data-language-local-name="georgiera" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Te%C9%A3zi_(tusnakt)" title="Teɣzi (tusnakt) – kabiliera" lang="kab" hreflang="kab" data-title="Teɣzi (tusnakt)" data-language-autonym="Taqbaylit" data-language-local-name="kabiliera" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/%C6%89a%C9%A3lak%C9%A9%C5%8B_(longeur)" title="Ɖaɣlakɩŋ (longeur) – Kabiye" lang="kbp" hreflang="kbp" data-title="Ɖaɣlakɩŋ (longeur)" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D2%B0%D0%B7%D1%8B%D0%BD%D0%B4%D1%8B%D2%9B" title="Ұзындық – kazakhera" lang="kk" hreflang="kk" data-title="Ұзындық" data-language-autonym="Қазақша" data-language-local-name="kazakhera" 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%89%E0%B2%A6%E0%B3%8D%E0%B2%A6" title="ಉದ್ದ – kannada" lang="kn" hreflang="kn" data-title="ಉದ್ದ" 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/%EA%B8%B8%EC%9D%B4" title="길이 – koreera" lang="ko" hreflang="ko" data-title="길이" data-language-autonym="한국어" data-language-local-name="koreera" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Dir%C3%AAjah%C3%AE" title="Dirêjahî – kurduera" lang="ku" hreflang="ku" data-title="Dirêjahî" data-language-autonym="Kurdî" data-language-local-name="kurduera" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Longitudo" title="Longitudo – latina" lang="la" hreflang="la" data-title="Longitudo" data-language-autonym="Latina" data-language-local-name="latina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/L%C3%A4ngt_(Physik)" title="Längt (Physik) – luxenburgera" lang="lb" hreflang="lb" data-title="Längt (Physik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxenburgera" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Lingdje" title="Lingdje – limburgera" lang="li" hreflang="li" data-title="Lingdje" data-language-autonym="Limburgs" data-language-local-name="limburgera" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Longh%C3%A9ssa" title="Longhéssa – liguriera" lang="lij" hreflang="lij" data-title="Longhéssa" data-language-autonym="Ligure" data-language-local-name="liguriera" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ilgis_(matematika)" title="Ilgis (matematika) – lituaniera" lang="lt" hreflang="lt" data-title="Ilgis (matematika)" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" 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/Garums" title="Garums – letoniera" lang="lv" hreflang="lv" data-title="Garums" data-language-autonym="Latviešu" data-language-local-name="letoniera" 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%94%D0%BE%D0%BB%D0%B6%D0%B8%D0%BD%D0%B0" title="Должина – mazedoniera" lang="mk" hreflang="mk" data-title="Должина" data-language-autonym="Македонски" data-language-local-name="mazedoniera" 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%A8%E0%B5%80%E0%B4%B3%E0%B4%82" title="നീളം – malabarera" lang="ml" hreflang="ml" data-title="നീളം" data-language-autonym="മലയാളം" data-language-local-name="malabarera" 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%A3%D1%80%D1%82" title="Урт – mongoliera" lang="mn" hreflang="mn" data-title="Урт" data-language-autonym="Монгол" data-language-local-name="mongoliera" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B2%E0%A4%BE%E0%A4%82%E0%A4%AC%E0%A5%80" title="लांबी – marathera" lang="mr" hreflang="mr" data-title="लांबी" data-language-autonym="मराठी" data-language-local-name="marathera" 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/Panjang" title="Panjang – malaysiera" lang="ms" hreflang="ms" data-title="Panjang" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%9C%E1%80%BB%E1%80%AC%E1%80%B8" title="အလျား – birmaniera" lang="my" hreflang="my" data-title="အလျား" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmaniera" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/L%C3%A4ng_(Physik)" title="Läng (Physik) – behe-alemana" lang="nds" hreflang="nds" data-title="Läng (Physik)" data-language-autonym="Plattdüütsch" data-language-local-name="behe-alemana" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Lengte_(meetkunde)" title="Lengte (meetkunde) – nederlandera" lang="nl" hreflang="nl" data-title="Lengte (meetkunde)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" 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/Lengd" title="Lengd – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Lengd" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" 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/Lengde" title="Lengde – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Lengde" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B2%E0%A9%B0%E0%A8%AC%E0%A8%BE%E0%A8%88" title="ਲੰਬਾਈ – punjabera" lang="pa" hreflang="pa" data-title="ਲੰਬਾਈ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabera" 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/D%C5%82ugo%C5%9B%C4%87_fizyczna" title="Długość fizyczna – poloniera" lang="pl" hreflang="pl" data-title="Długość fizyczna" data-language-autonym="Polski" data-language-local-name="poloniera" 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/Longheur" title="Longheur – Piedmontese" lang="pms" hreflang="pms" data-title="Longheur" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%84%D9%85%D8%A8%D8%A7%D8%A6%DB%8C" title="لمبائی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="لمبائی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Comprimento" title="Comprimento – portugesa" lang="pt" hreflang="pt" data-title="Comprimento" data-language-autonym="Português" data-language-local-name="portugesa" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Karu_kay" title="Karu kay – kitxua" lang="qu" hreflang="qu" data-title="Karu kay" data-language-autonym="Runa Simi" data-language-local-name="kitxua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Lungime" title="Lungime – errumaniera" lang="ro" hreflang="ro" data-title="Lungime" data-language-autonym="Română" data-language-local-name="errumaniera" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-tara mw-list-item"><a href="https://roa-tara.wikipedia.org/wiki/Lunghezze" title="Lunghezze – Tarantino" lang="nap-x-tara" hreflang="nap-x-tara" data-title="Lunghezze" data-language-autonym="Tarandíne" data-language-local-name="Tarantino" class="interlanguage-link-target"><span>Tarandíne</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%94%D0%BB%D0%B8%D0%BD%D0%B0" title="Длина – errusiera" lang="ru" hreflang="ru" data-title="Длина" data-language-autonym="Русский" data-language-local-name="errusiera" 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%94%D0%BE%D0%B2%D0%B6%D0%BA%D0%B0" title="Довжка – Rusyn" lang="rue" hreflang="rue" data-title="Довжка" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Lenth" title="Lenth – eskoziera" lang="sco" hreflang="sco" data-title="Lenth" data-language-autonym="Scots" data-language-local-name="eskoziera" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%8A%DA%AF%DA%BE%D8%A7%D8%A6%D9%8A_(%D9%81%D8%B2%DA%AA%D8%B3)" title="ڊگھائي (فزڪس) – sindhia" lang="sd" hreflang="sd" data-title="ڊگھائي (فزڪس)" data-language-autonym="سنڌي" data-language-local-name="sindhia" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Du%C5%BEina" title="Dužina – serbokroaziera" lang="sh" hreflang="sh" data-title="Dužina" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Ti%C9%A3zi" title="Tiɣzi – tachelhita" lang="shi" hreflang="shi" data-title="Tiɣzi" data-language-autonym="Taclḥit" data-language-local-name="tachelhita" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Length" title="Length – Simple English" lang="en-simple" hreflang="en-simple" data-title="Length" 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/D%C4%BA%C5%BEka" title="Dĺžka – eslovakiera" lang="sk" hreflang="sk" data-title="Dĺžka" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" 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/Dol%C5%BEina" title="Dolžina – esloveniera" lang="sl" hreflang="sl" data-title="Dolžina" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Hurefu" title="Hurefu – shonera" lang="sn" hreflang="sn" data-title="Hurefu" data-language-autonym="ChiShona" data-language-local-name="shonera" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Gjat%C3%ABsia" title="Gjatësia – albaniera" lang="sq" hreflang="sq" data-title="Gjatësia" data-language-autonym="Shqip" data-language-local-name="albaniera" 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%94%D1%83%D0%B6%D0%B8%D0%BD%D0%B0" title="Дужина – serbiera" lang="sr" hreflang="sr" data-title="Дужина" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Laangte" title="Laangte – Saterland Frisian" lang="stq" hreflang="stq" data-title="Laangte" data-language-autonym="Seeltersk" data-language-local-name="Saterland Frisian" class="interlanguage-link-target"><span>Seeltersk</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/L%C3%A4ngd" title="Längd – suediera" lang="sv" hreflang="sv" data-title="Längd" data-language-autonym="Svenska" data-language-local-name="suediera" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Urefu" title="Urefu – swahilia" lang="sw" hreflang="sw" data-title="Urefu" data-language-autonym="Kiswahili" data-language-local-name="swahilia" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szy mw-list-item"><a href="https://szy.wikipedia.org/wiki/tanaya%E2%80%99" title="tanaya’ – Sakizaya" lang="szy" hreflang="szy" data-title="tanaya’" data-language-autonym="Sakizaya" data-language-local-name="Sakizaya" class="interlanguage-link-target"><span>Sakizaya</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A8%E0%AF%80%E0%AE%B3%E0%AE%AE%E0%AF%8D" title="நீளம் – tamilera" lang="ta" hreflang="ta" data-title="நீளம்" data-language-autonym="தமிழ்" data-language-local-name="tamilera" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AA%E0%B1%8A%E0%B0%A1%E0%B0%B5%E0%B1%81" title="పొడవు – telugua" lang="te" hreflang="te" data-title="పొడవు" data-language-autonym="తెలుగు" data-language-local-name="telugua" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%A7%E0%B8%B2%E0%B8%A1%E0%B8%A2%E0%B8%B2%E0%B8%A7" title="ความยาว – thailandiera" lang="th" hreflang="th" data-title="ความยาว" data-language-autonym="ไทย" data-language-local-name="thailandiera" 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/Haba" title="Haba – tagaloa" lang="tl" hreflang="tl" data-title="Haba" data-language-autonym="Tagalog" data-language-local-name="tagaloa" 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/Uzunluk" title="Uzunluk – turkiera" lang="tr" hreflang="tr" data-title="Uzunluk" data-language-autonym="Türkçe" data-language-local-name="turkiera" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Kuleha" title="Kuleha – tsongera" lang="ts" hreflang="ts" data-title="Kuleha" data-language-autonym="Xitsonga" data-language-local-name="tsongera" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%BE%D0%B2%D0%B6%D0%B8%D0%BD%D0%B0" title="Довжина – ukrainera" lang="uk" hreflang="uk" data-title="Довжина" data-language-autonym="Українська" data-language-local-name="ukrainera" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%84%D9%85%D8%A8%D8%A7%D8%A6%DB%8C" title="لمبائی – urdua" lang="ur" hreflang="ur" data-title="لمبائی" data-language-autonym="اردو" data-language-local-name="urdua" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Uzunlik" title="Uzunlik – uzbekera" lang="uz" hreflang="uz" data-title="Uzunlik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" 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/%C5%81onghesa" title="Łonghesa – veneziera" lang="vec" hreflang="vec" data-title="Łonghesa" data-language-autonym="Vèneto" data-language-local-name="veneziera" 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/Chi%E1%BB%81u_d%C3%A0i" title="Chiều dài – vietnamera" lang="vi" hreflang="vi" data-title="Chiều dài" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Lengte" title="Lengte – West Flemish" lang="vls" hreflang="vls" data-title="Lengte" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Tipahilaba" title="Tipahilaba – warayera" lang="war" hreflang="war" data-title="Tipahilaba" data-language-autonym="Winaray" data-language-local-name="warayera" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%95%BF%E5%BA%A6" title="长度 – wu txinera" lang="wuu" hreflang="wuu" data-title="长度" data-language-autonym="吴语" data-language-local-name="wu txinera" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A1%E1%83%98%E1%83%92%E1%83%B7%E1%83%A0%E1%83%AB%E1%83%90" title="სიგჷრძა – Mingrelian" lang="xmf" hreflang="xmf" data-title="სიგჷრძა" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%9C%D7%A2%D7%A0%D7%92" title="לענג – yiddisha" lang="yi" hreflang="yi" data-title="לענג" data-language-autonym="ייִדיש" data-language-local-name="yiddisha" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%95%BF%E5%BA%A6" title="长度 – txinera" lang="zh" hreflang="zh" data-title="长度" data-language-autonym="中文" data-language-local-name="txinera" 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/Tn%CC%82g-t%C3%A9" title="Tn̂g-té – Minnan" lang="nan" hreflang="nan" data-title="Tn̂g-té" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%95%B7%E5%BA%A6" title="長度 – kantonera" lang="yue" hreflang="yue" data-title="長度" data-language-autonym="粵語" data-language-local-name="kantonera" 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/Q36253#sitelinks-wikipedia" title="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</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="Izen-tarteak"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul 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href="/wiki/Berezi:ZerkLotzenDuHona/Luzera_(geometria)" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Luzera_(geometria)" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Berezi:OrrialdeBereziak" title="Orri berezi guztien zerrenda [q]" accesskey="q"><span>Orri bereziak</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Luzera_(geometria)&oldid=9181804" title="Orriaren bertsio honetaranzko esteka 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class="mw-content-ltr mw-parser-output" lang="eu" dir="ltr"><p class="mw-empty-elt"> </p> <table class="infobox" style="width:22em"><tbody><tr><th colspan="2" style="text-align:center;font-size:125%;font-weight:bold">Luzera (geometria)</th></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Magnitude mota</th><td class="infobox-data"><a href="/w/index.php?title=Kind_of_quantity&action=edit&redlink=1" class="new" title="Kind of quantity (sortu gabe)">kind of quantity</a> <sup>(en)</sup> <span class="mw-valign-baseline skin-invert" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q110653654?uselang=eu"><img alt="Itzuli" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/10px-Noun_Project_label_icon_1116097_cc_mirror.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/15px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/20px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 2x" data-file-width="158" data-file-height="161" /></a></span> eta <a href="/w/index.php?title=ISQ_oinarriko_kantitatea&action=edit&redlink=1" class="new" title="ISQ oinarriko kantitatea (sortu gabe)">ISQ oinarriko kantitatea</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Ohiko ikurra</th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.693ex; height:2.176ex;" alt="{\displaystyle l}"></span> eta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Neurtzeko unitatea</th><td class="infobox-data"><a href="/wiki/Metro" title="Metro">metro</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left">Dimentsioa</th><td class="infobox-data"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">L</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4d25704a85c37e68d78dd9f549587912bf314b3c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.26ex; height:2.176ex;" alt="{\displaystyle {\mathsf {L}}}"></span></td></tr></tbody></table> <style data-mw-deduplicate="TemplateStyles:r8986446">.mw-parser-output .noexcerpt{padding-top:10px}</style><div> <dl><dd><i>Artikulu hau luzetasunaren neurriari buruzkoa da; beste esanahietarako, ikus «<a href="/wiki/Luzera_(argipena)" class="mw-disambig" title="Luzera (argipena)">Luzera (argipena)</a>».</i></dd></dl></div><p><b>Luzera</b> da bi punturen arteko <a href="/wiki/Distantzia" title="Distantzia">distantziari</a> edo objektu geometrikoen luzetasunari dagokion <a href="/wiki/Magnitude_fisiko" title="Magnitude fisiko">magnitude fisikoa</a>. </p><p>Bi punturen arteko <b>distantzia</b> kontzeptu matematikoa da, lerro zuzen baten edo kurba baten arabera neur daitekeena. Agerikoa denez, <a href="/wiki/Geometria_euklidear" title="Geometria euklidear">geometria euklidearrean</a> bi punturen arteko distantziarik laburrena <a href="/wiki/Lerro_zuzen" class="mw-redirect" title="Lerro zuzen">lerro zuzenaren</a> bidezkoa da; neurketa bi puntuen arteko edozein <a href="/wiki/Kurba" class="mw-redirect mw-disambig" title="Kurba">kurbatan</a> zehar eginez gero, luzeagoa izango da distantzia. <a href="/w/index.php?title=Objektu_geometriko&action=edit&redlink=1" class="new" title="Objektu geometriko (sortu gabe)">Objektu geometriko</a> tridimentsionalen kasuan, gorputzaren bi muturren arteko distantzia zuzenaren neurria da "luzera", eta bereizi egiten da "altuera" eta "sakonera" neurrietatik<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>. </p><p>Oinarrizko <a href="/wiki/Magnitude_fisiko" title="Magnitude fisiko">magnitude fisikoa</a> da luzera; hots, ezin da adierazi beste oinarrizko magnitude batzuen bidez. Horrek esan nahi du, magnitude batzuk luzeratik eratortzen direla; <a href="/wiki/Abiadura" title="Abiadura">abiadura</a>, adibidez, luzera <a href="/wiki/Denbora" title="Denbora">denborarekin</a> erlazionatuz. </p><p>Fisikan eta ingeniaritzan, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/829091f745070b9eb97a80244129025440a1cfac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.693ex; height:2.176ex;" alt="{\displaystyle l}"></span> edo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span> sinboloa erabiltzen da luzera adierazteko. <a href="/wiki/Mekanika_klasiko" title="Mekanika klasiko">Mekanika klasikoan</a>, luzera <a href="/wiki/Magnitude_absolutu" title="Magnitude absolutu">magnitude absolutua</a> da; hau da, balio berbera du edozein erreferentzia-sistematatik neurturik. Baina <a href="/wiki/Albert_Einstein" title="Albert Einstein">Einsteinen</a> <a href="/wiki/Erlatibitatearen_teoria" title="Erlatibitatearen teoria">erlatibitatearen teoria</a>ren arabera objektuen eta distantzien luzera kontzeptu erlatiboa da<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>, eta neurriak aldatu egiten dira neurketarako erabili den sistemaren arabera<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>; hain zuzen, higitzen ari diren objektuen luzeraren uzkurdura behatzen da (<a href="/wiki/Lorentzen_uzkurdura" title="Lorentzen uzkurdura">Lorentzen uzkurdura</a>).  </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Historia">Historia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=1" title="Aldatu atal hau: «Historia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=1" title="Edit section's source code: Historia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Neurketek beti izan dute garrantzia, gizakiak bizimodu nomada utzi eta herriak sortzen hasi zenetik, horrela <a href="/wiki/Nekazaritza" title="Nekazaritza">nekazaritzan</a> edo lur-jabegoetan erabiliz. Gizartea garatuz joan den heinean, teknologia berriak sartu ahala, neurketa zehatzagoak behar izan dira gero eta arlo gehiagotan, mikroelektronikatik hasi eta planeten arteko distantzietaraino. </p><p>Luzera-unitate zaharrenetako bat “<a href="/wiki/Besabete" title="Besabete">besabetea</a>” (besoaren neurria, alegia) izan zen. Unitate hura erdiko hatzaren puntatik ukondorainoko distantziatzat hartu zen. Hori bai, pertsona batetik bestera asko alda zitekeen. Beste unitate txikiago batzuk “<a href="/wiki/Oin_(unitatea)" title="Oin (unitatea)">oina</a>”, “<a href="/wiki/Arra" title="Arra">arra</a>” edo “<a href="/wiki/Hazbete" title="Hazbete">hazbetea</a>” izan ziren. Nolanahi dela, XVIII. mendearen bukaeratik aurrera, <b>metroa</b> da munduan zehar zabalduz joan den unitatea.  </p> <div class="mw-heading mw-heading2"><h2 id="Kontzeptu_matematikoa">Kontzeptu matematikoa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=2" title="Aldatu atal hau: «Kontzeptu matematikoa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=2" title="Edit section's source code: Kontzeptu matematikoa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Luzera kontzeptua <a href="/wiki/Geometria" title="Geometria">geometriako</a> segmentuetarako zehaztu zen hasiera batean. Distantzia euklidearraren oinarrizko kontzeptuak <a href="/wiki/Zuzenki" title="Zuzenki">zuzenki</a> baten luzera zehazteko balio izan zuen, bi muturren arteko distantzia gisa. Hurrengo pausoa kurba baten (<a href="/wiki/Zirkulu" title="Zirkulu">zirkulua</a>, <a href="/wiki/Elipse" title="Elipse">elipsea</a>…) luzera zehaztea izan zen. Hori prozesu fisiko baten bidez egiten zen: kurba baten inguruan soka bat jarri, eta bi muturretan marka egin ondoren soka berriro ere zuzen ipini, horrela kurbaren luzera neurtuz. </p><p>Luzeraren kontzeptu modernoa kurben geometria diferentzialaren barruan definitzen da. Dena den, luzeraren jatorrizko kontzeptuarekin erlazio gehien duen beste modu bat, poligonal baten bidezko kurba diferentziagarri baten hurbilketa da. Horrela, <a href="/wiki/Arkimedes" title="Arkimedes">Arkimedesen</a> garaian posible zen <a href="/wiki/Zirkunferentzia" title="Zirkunferentzia">zirkunferentzia</a> baten perimetroa doitasun handiz kalkulatzea, hartarako erabiliz zirkunferentziara inskribaturik eta zirkunskribaturik dauden poligono-hurrenkerak eta <a href="/wiki/Pitagorasen_teorema" title="Pitagorasen teorema">Pitagorasen teorema</a>. <a href="/wiki/Kalkulu_infinitesimal" title="Kalkulu infinitesimal">Kalkulu infinitesimalaren</a> garapenak, luzeraren kontzeptua kurba analitiko konplexuetara hedatzea ekarri zuen, zeintzuentzat zaila den antzinako matematikari grekoen poligonalen bidezko metodoa aplikatzea. </p><p>Kurba kotatu baten luzerak finitua izan behar zuela onartu zen <a href="/wiki/XIX._mende" class="mw-redirect" title="XIX. mende">XIX. mendera</a> arte. Baina ordutik aurrera, <a href="/wiki/Karl_Weierstrass" title="Karl Weierstrass">Karl Weierstrass</a> matematikariak, besteak beste, ikusi zuen diferentziagarriak ez diren kurba jarraituak existitzen direla; eta horrelakoak ezin dira geometria diferentziagarriaren bidez definitu. </p><p>Geroago, frogatu zen existitzen zirela <a href="/w/index.php?title=Kochen_kurba&action=edit&redlink=1" class="new" title="Kochen kurba (sortu gabe)">Kochen kurba</a> deritzen kurba jarraituak, zeintzuk azalera finituan dauden kurba itxiak diren, baina luzera infinitukoak<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>.  </p> <div class="mw-heading mw-heading2"><h2 id="Kontzeptu_fisikoa">Kontzeptu fisikoa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=3" title="Aldatu atal hau: «Kontzeptu fisikoa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=3" title="Edit section's source code: Kontzeptu fisikoa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Mekanika klasikoan, <a href="/wiki/Galileo" class="mw-redirect" title="Galileo">Galileoren</a> erlatibitatean oinarrituta, luzera kontzeptu absolututzat hartu zen hasiera batean. Hortaz, behatzailearekiko kontzeptu guztiz independentea da, eta edozein erreferentzia-sistematatik neurtuz, beti lortzen da luzera berbera. </p><p>Baina <a href="/wiki/XIX._mende" class="mw-redirect" title="XIX. mende">XIX. mendearen</a> bukaeran fisikariak uste hori zalantzan jartzen hasi ziren, Riemann, Poincaré, eta Lorentz-en lanetan oinarrituta. Azkenean, Einsteinen erlatibitatearen teoria bereziak <b>argiaren abiaduraren aldaezintasuna</b> eta <b>sistema inertzialen baliokidetza</b> postulatzean, gertaeren aldiberekotasuna sistema bakoitzean definitu behar zela eta erlatiboa zela ondorioztatu zen. Horrek ekarri zuen  luzerak neurtzeko metodologia zehaztea, eta luzerak nola neurtu behar diren finkatzean, luzeraren uzkurdura (Lorentzen uzkurdura) deritzon kontzeptua agertu zen, zeinaren arabera luzera ez den magnitude absolutua, erlatiboa baizik, behatzailearen erreferentzia-sistemaren araberakoa.   </p> <div class="mw-heading mw-heading2"><h2 id="Luzera-unitatea">Luzera-unitatea</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=4" title="Aldatu atal hau: «Luzera-unitatea»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=4" title="Edit section's source code: Luzera-unitatea"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Platinum-Iridium_meter_bar.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Platinum-Iridium_meter_bar.jpg/250px-Platinum-Iridium_meter_bar.jpg" decoding="async" width="250" height="164" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Platinum-Iridium_meter_bar.jpg/375px-Platinum-Iridium_meter_bar.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bb/Platinum-Iridium_meter_bar.jpg/500px-Platinum-Iridium_meter_bar.jpg 2x" data-file-width="4232" data-file-height="2781" /></a><figcaption><a href="/wiki/Metro_patroi" class="mw-redirect" title="Metro patroi">Metro patroi</a> gisa <a href="/wiki/1889" title="1889">1889</a> eta <a href="/wiki/1960" title="1960">1960</a> urteen artean erabilitako <a href="/wiki/Platino" title="Platino">platino</a>-<a href="/wiki/Iridio" title="Iridio">iridio</a> barraren irudia.</figcaption></figure> <p><a href="/wiki/Nazioarteko_Unitate_Sistema" title="Nazioarteko Unitate Sistema">Nazioarteko SI unitate-sisteman</a>, luzeraren unitatea <a href="/wiki/Metro" title="Metro">metroa</a> da. Hasiera batean, metroa «Paristik pasatzen den meridianoaren luzeraren laurdenaren hamar miloirenaren luzera» zela erabaki zen XVIII. mendearen azken hamarkadan<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>, eta <a href="/wiki/Metro_patroi" class="mw-redirect" title="Metro patroi">metroaren lehenengo txantiloia</a> 1799an fabrikatu zen. Geroago, 1889tik 1960 arte metro unitatea definitzeko <a href="/wiki/Platino" title="Platino">platino</a>-<a href="/wiki/Iridio" title="Iridio">iridioz</a> egindako txantiloi estandarra erabili zen<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>. Baina 1960an Pisu eta Neurrien 11. Batzar Nagusiak definizio zehatzago bat onartu zuen <a href="/wiki/Kripton" title="Kripton"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\ce {^{86}Kr}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mmultiscripts> <mtext>Kr</mtext> <none /> <none /> <mprescripts /> <none /> <mn>86</mn> </mmultiscripts> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\ce {^{86}Kr}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/25ea276af3e863ab79f9e8d53fde37e0c7a15c13" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.538ex; height:2.676ex;" alt="{\displaystyle {\ce {^{86}Kr}}}"></span>aren</a> <a href="/wiki/Erradiazio" title="Erradiazio">erradiazioaren</a> <a href="/wiki/Uhin-luzera" title="Uhin-luzera">uhin-luzeran</a> oinarritua, tartean teoria fisikoetan egindako aurrerapenak kontuan izanik<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>oh 1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup>. Azkenik, 1983an, 17. Batzar Nagusiak definizio hori baztertu eta gaur egungoa onartu zuen. Azken definizio berri hori argiaren abiaduran oinarritzen da, kontuan izanik erlatibitatearen teoriaren arabera argiaren abiadura berbera dela sistema guztietan. Hauxe da gaur egungo definizio estandarra: </p> <table style="background-color:#e0e0e0;border-collapse:collapse;border-radius: 6px;border-style:none;margin: .5em 2.75em; padding: 20px;"> <tbody><tr> <td width="20" valign="top" style="color:silver;font-size:40px;font-family:'Times New Roman',serif;font-weight:bold;text-align:left;padding-left:10px; padding-right:10px;">« </td> <td align="left" style="padding:10px; padding-bottom:0; font-size: 90%;">Metroa argiak segundo baten 1/299.792.458 segundoan hutsean egiten duen ibilbidearen luzera da </td> <td width="20" valign="bottom" style="color:silver;font-size:40px;font-family:'Times New Roman',serif;font-weight:bold;text-align:right;padding-left:10px; padding-right:10px;">» </td></tr> <tr> <td colspan="3" style="padding: 10px; padding-top:0; font-size: 85%;"><p style="line-height:1em;text-align: right"><cite style="font-style:normal;">—<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></cite></p> </td></tr></tbody></table> <p><br /> Metroa oinarri harturik, beraren multiplo eta azpimultiplo guztiak ere onarturik daude SI sisteman, eta horiek normalki erabiltzen dira objektuen tamainak edo puntuen arteko distantziak nolakoak diren arabera. </p><p>Dena den, fisikan zenbait fenomeno aztertzean, normalak baino askoz luzeagoak edo txikiagoak diren luzerekin lan egin behar izaten da, eta horietarako egokitutako unitate bereziak erabiltzen dira. </p><p>Espazioko distantziak (astronomia) adierazteko, Lurrean erabiltzen direnak baino luzera-unitate askoz handiagoak behar dira:  </p> <table class="wikitable"> <tbody><tr> <td><b>Unitatearen izena</b> </td> <td><b>Sinboloa</b> </td> <td><b>Balioa metrotan</b> </td></tr> <tr> <td>argi-urtea </td> <td>l.y. </td> <td>1 l.y. = 9,460730×10<sup>15</sup> m </td></tr> <tr> <td>unitate astronomikoa </td> <td>AU </td> <td>1 AU = 1,4959877×10<sup>11</sup> m </td></tr> <tr> <td>parsec </td> <td>pc </td> <td>1 pc = 206264,8 AU = 30,85678×10<sup>15</sup> m </td></tr></tbody></table><p>  </p><p>Kimika edo fisika atomikoaren arloetan atomoen tamainako distantzia oso txikiak eta are txikiagoak adierazteko, luzera-unitatea hauek erabiltzen dira:  </p> <table class="wikitable"> <tbody><tr> <td><b>Unitatearen izena</b> </td> <td><b>Sinboloa</b> </td> <td><b>Balioa metrotan</b> </td></tr> <tr> <td>ångstrom </td> <td>Å </td> <td>1 Å = 0,1 nm = 10<sup>–10</sup> m </td></tr> <tr> <td>Planck luzera </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle l_{\text{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>l</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>p</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l_{\text{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/883be052f8c6479dd73a166ca38a0c181e8bd754" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:1.84ex; height:2.843ex;" alt="{\displaystyle l_{\text{p}}}"></span> </td> <td>1 <i>l</i><sub>P</sub> 1,616 229(38)×10<sup>−35</sup> m </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Oharrak">Oharrak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=5" title="Aldatu atal hau: «Oharrak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=5" title="Edit section's source code: Oharrak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-8"><a href="#cite_ref-8">↑</a> <span class="reference-text">Metroa kripton 86 atomoak 2p<sub>10</sub> eta 5d<sub>5</sub> mailen arteko trantsizioari dagokion hutsean 1.650.763,73 uhin-luzeraren tamaina da da.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=6" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=6" title="Edit section's source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns references-column-width" style="-moz-column-width: 30em; -webkit-column-width: 30em; column-width: 30em; list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://zthiztegia.elhuyar.eus/terminoa/eu/luzera"><i>ZT Hiztegi Berria. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://zthiztegia.elhuyar.eus/terminoa/eu/erlatibitate%20orokor"><i>ZT Hiztegi Berria. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-3"><a href="#cite_ref-3">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFEinstein">Einstein, Albert. <a rel="nofollow" class="external text" href="http://www.fourmilab.ch/etexts/einstein/specrel/www/"><i>On the Electrodynamics of Moving Bodies. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://babel.hathitrust.org/cgi/pt?id=inu.30000100114564;view=1up;seq=693"><i>Arkiv för matematik, astronomi och fysik / utgifvet af K. Svenska Vetenskaps-Akademien v.1 1903-1904.. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation"> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Grand_dictionnaire_universel_du_XIXe_si%C3%A8cle&oldid=728642751"><i>Grand dictionnaire universel du XIXe siècle. </i></a> 2016-07-06 <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-6"><a href="#cite_ref-6">↑</a> <span class="reference-text"><span class="citation"> <span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span></span> <span class="citation" id="CITEREFA.1981/12/00">A., Nelson, Robert.  (1981/12/00). <a rel="nofollow" class="external text" href="https://eric.ed.gov/?id=EJ256976">«Foundations of the International System of Units (SI).»</a> <i>Physics Teacher</i> 19 (9) <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-7"><a href="#cite_ref-7">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"><a rel="nofollow" class="external text" href="http://adsabs.harvard.edu/abs/1908TIUCS...2...17.">«Procès-verbaux des séances du Congrès International des Études Solaires tenu à Meudon, Mai 20-23, 1907. Séance du Mardi 21 Mai 1907»</a> <i>Transactions of the International Union for Cooperation in Solar Research</i> 2: 17–34. 1908 <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> <li id="cite_note-9"><a href="#cite_ref-9">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="https://www.worldcat.org/oclc/70240217"><i>Le Système International d'Unités (SI) = The International System of Units (SI). </i></a> (8e éd. argitaraldia) Bureau International des Poids et Mesures 2006 <a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Berezi:BookSources/9282222136" title="Berezi:BookSources/9282222136">9282222136</a>.</span>.</span> </li> <li id="cite_note-10"><a href="#cite_ref-10">↑</a> <span class="reference-text"><span class="citation"></span> <span class="citation"> <a rel="nofollow" class="external text" href="http://www.bipm.org/en/CGPM/db/17/1/"><i>BIPM - Resolution 1 of the 17th CGPM. </i></a> <span class="reference-accessdate"><small>(Noiz kontsultatua: 2018-01-17)</small></span></span>.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Ikus,_gainera"><span id="Ikus.2C_gainera"></span>Ikus, gainera</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Luzera_(geometria)&veaction=edit&section=7" title="Aldatu atal hau: «Ikus, gainera»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Luzera_(geometria)&action=edit&section=7" title="Edit section's source code: Ikus, gainera"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Azalera" title="Azalera">Azalera</a></li> <li><a href="/wiki/Dimentsio" title="Dimentsio">Dimentsio</a></li> <li><a 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