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</div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Yevklid fazosi</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="Boshqa tildagi maqolaga oʻting. 64 ta tilda mavjud" > <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-64" 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">64 ta til</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_ruimte" title="Euklidiese ruimte – afrikaans" lang="af" hreflang="af" data-title="Euklidiese ruimte" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Euklidischer_Raum" title="Euklidischer Raum – nemis (Shveytsariya)" lang="gsw" hreflang="gsw" data-title="Euklidischer Raum" data-language-autonym="Alemannisch" data-language-local-name="nemis (Shveytsariya)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%81%D8%B6%D8%A7%D8%A1_%D8%A5%D9%82%D9%84%D9%8A%D8%AF%D9%8A" title="فضاء إقليدي – arab" lang="ar" hreflang="ar" data-title="فضاء إقليدي" data-language-autonym="العربية" data-language-local-name="arab" 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/Espaciu_euclideu" title="Espaciu euclideu – asturiy" lang="ast" hreflang="ast" data-title="Espaciu euclideu" data-language-autonym="Asturianu" data-language-local-name="asturiy" class="interlanguage-link-target"><span>Asturianu</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%B0%D1%80%D0%B0%D1%83%D1%8B%D2%93%D1%8B" title="Евклид арауығы – boshqird" lang="ba" hreflang="ba" data-title="Евклид арауығы" data-language-autonym="Башҡортса" data-language-local-name="boshqird" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4%D0%BE%D0%B2%D0%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE" title="Евклидово пространство – bolgar" lang="bg" hreflang="bg" data-title="Евклидово пространство" data-language-autonym="Български" data-language-local-name="bolgar" 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%B8%E0%A7%8D%E0%A6%A5%E0%A6%BE%E0%A6%A8" title="ইউক্লিডীয় স্থান – bengal" lang="bn" hreflang="bn" data-title="ইউক্লিডীয় স্থান" data-language-autonym="বাংলা" data-language-local-name="bengal" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Espai_euclidi%C3%A0" title="Espai euclidià – katalan" lang="ca" hreflang="ca" data-title="Espai euclidià" data-language-autonym="Català" data-language-local-name="katalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%DB%86%D8%B4%D8%A7%DB%8C%DB%8C%DB%8C_%D8%A6%DB%8C%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="بۆشاییی ئیقلیدسی – sorani-kurd" lang="ckb" hreflang="ckb" data-title="بۆشاییی ئیقلیدسی" data-language-autonym="کوردی" data-language-local-name="sorani-kurd" 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%BD_prostor" title="Eukleidovský prostor – chex" lang="cs" hreflang="cs" data-title="Eukleidovský prostor" data-language-autonym="Čeština" data-language-local-name="chex" 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_%D1%83%C3%A7%D0%BB%C4%83%D1%85%C4%95" title="Евклид уçлăхĕ – chuvash" lang="cv" hreflang="cv" data-title="Евклид уçлăхĕ" data-language-autonym="Чӑвашла" data-language-local-name="chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Gofod_Euclidaidd" title="Gofod Euclidaidd – valliy" lang="cy" hreflang="cy" data-title="Gofod Euclidaidd" data-language-autonym="Cymraeg" data-language-local-name="valliy" 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_rum" title="Euklidisk rum – dan" lang="da" hreflang="da" data-title="Euklidisk rum" data-language-autonym="Dansk" data-language-local-name="dan" 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/Euklidischer_Raum" title="Euklidischer Raum – nemischa" lang="de" hreflang="de" data-title="Euklidischer Raum" data-language-autonym="Deutsch" data-language-local-name="nemischa" 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%BF%CF%82_%CF%87%CF%8E%CF%81%CE%BF%CF%82" title="Ευκλείδειος χώρος – grek" lang="el" hreflang="el" data-title="Ευκλείδειος χώρος" data-language-autonym="Ελληνικά" data-language-local-name="grek" 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_space" title="Euclidean space – inglizcha" lang="en" hreflang="en" data-title="Euclidean space" data-language-autonym="English" data-language-local-name="inglizcha" 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_spaco" title="Eŭklida spaco – esperanto" lang="eo" hreflang="eo" data-title="Eŭklida spaco" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Espacio_eucl%C3%ADdeo" title="Espacio euclídeo – ispancha" lang="es" hreflang="es" data-title="Espacio euclídeo" data-language-autonym="Español" data-language-local-name="ispancha" 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/Eukleidiline_ruum" title="Eukleidiline ruum – estoncha" lang="et" hreflang="et" data-title="Eukleidiline ruum" data-language-autonym="Eesti" data-language-local-name="estoncha" 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/Euklidear_espazio" title="Euklidear espazio – bask" lang="eu" hreflang="eu" data-title="Euklidear espazio" data-language-autonym="Euskara" data-language-local-name="bask" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%81%D8%B6%D8%A7%DB%8C_%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C" title="فضای اقلیدسی – fors" lang="fa" hreflang="fa" data-title="فضای اقلیدسی" data-language-autonym="فارسی" data-language-local-name="fors" 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_avaruus" title="Euklidinen avaruus – fincha" lang="fi" hreflang="fi" data-title="Euklidinen avaruus" data-language-autonym="Suomi" data-language-local-name="fincha" 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/Espace_euclidien" title="Espace euclidien – fransuzcha" lang="fr" hreflang="fr" data-title="Espace euclidien" data-language-autonym="Français" data-language-local-name="fransuzcha" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Espazo_euclidiano" title="Espazo euclidiano – galisiy" lang="gl" hreflang="gl" data-title="Espazo euclidiano" data-language-autonym="Galego" data-language-local-name="galisiy" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A8%D7%97%D7%91_%D7%90%D7%95%D7%A7%D7%9C%D7%99%D7%93%D7%99" title="מרחב אוקלידי – ivrit" lang="he" hreflang="he" data-title="מרחב אוקלידי" data-language-autonym="עברית" data-language-local-name="ivrit" 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%A8_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" title="यूक्लिडीन समष्टि – hind" lang="hi" hreflang="hi" data-title="यूक्लिडीन समष्टि" data-language-autonym="हिन्दी" data-language-local-name="hind" 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/Euklidski_prostor" title="Euklidski prostor – xorvat" lang="hr" hreflang="hr" data-title="Euklidski prostor" data-language-autonym="Hrvatski" data-language-local-name="xorvat" 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_t%C3%A9r_(line%C3%A1ris_algebra)" title="Euklideszi tér (lineáris algebra) – venger" lang="hu" hreflang="hu" data-title="Euklideszi tér (lineáris algebra)" data-language-autonym="Magyar" data-language-local-name="venger" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Ruang_Euklides" title="Ruang Euklides – indonez" lang="id" hreflang="id" data-title="Ruang Euklides" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonez" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Euklidana_spaco" title="Euklidana spaco – ido" lang="io" hreflang="io" data-title="Euklidana spaco" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Spazio_euclideo" title="Spazio euclideo – italyan" lang="it" hreflang="it" data-title="Spazio euclideo" data-language-autonym="Italiano" data-language-local-name="italyan" 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%E7%A9%BA%E9%96%93" title="ユークリッド空間 – yapon" lang="ja" hreflang="ja" data-title="ユークリッド空間" data-language-autonym="日本語" data-language-local-name="yapon" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%B2%D0%BA%D0%BB%D0%B8%D0%B4_%D0%BA%D0%B5%D2%A3%D1%96%D1%81%D1%82%D1%96%D0%B3%D1%96" title="Евклид кеңістігі – qozoqcha" lang="kk" hreflang="kk" data-title="Евклид кеңістігі" data-language-autonym="Қазақша" data-language-local-name="qozoqcha" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B3%B5%EA%B0%84" title="유클리드 공간 – koreyscha" lang="ko" hreflang="ko" data-title="유클리드 공간" data-language-autonym="한국어" data-language-local-name="koreyscha" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Euklidin%C4%97_erdv%C4%97" title="Euklidinė erdvė – litva" lang="lt" hreflang="lt" data-title="Euklidinė erdvė" data-language-autonym="Lietuvių" data-language-local-name="litva" class="interlanguage-link-target"><span>Lietuvių</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%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Евклидов простор – makedon" lang="mk" hreflang="mk" data-title="Евклидов простор" data-language-autonym="Македонски" data-language-local-name="makedon" 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%B8%E0%B5%8D%E0%B4%AA%E0%B5%86%E0%B4%AF%E0%B5%8D%E0%B4%B8%E0%B5%8D" title="യൂക്ലിഡിയൻ സ്പെയ്സ് – malayalam" lang="ml" hreflang="ml" data-title="യൂക്ലിഡിയൻ സ്പെയ്സ്" 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%BE%D1%80%D0%BE%D0%BD_%D0%B7%D0%B0%D0%B9" title="Евклидийн орон зай – mongol" lang="mn" hreflang="mn" data-title="Евклидийн орон зай" data-language-autonym="Монгол" data-language-local-name="mongol" 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/Ruang_Euclides" title="Ruang Euclides – malay" lang="ms" hreflang="ms" data-title="Ruang Euclides" data-language-autonym="Bahasa Melayu" data-language-local-name="malay" 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%9A%E1%80%B0%E1%80%80%E1%80%9C%E1%80%85%E1%80%BA%E1%80%92%E1%80%BA_%E1%80%85%E1%80%95%E1%80%B1%E1%80%B7%E1%80%85%E1%80%BA" title="ယူကလစ်ဒ် စပေ့စ် – birman" lang="my" hreflang="my" data-title="ယူကလစ်ဒ် စပေ့စ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birman" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Euclidische_ruimte" title="Euclidische ruimte – niderland" lang="nl" hreflang="nl" data-title="Euclidische ruimte" data-language-autonym="Nederlands" data-language-local-name="niderland" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Euklidsk_rom" title="Euklidsk rom – norveg-bokmal" lang="nb" hreflang="nb" data-title="Euklidsk rom" data-language-autonym="Norsk bokmål" data-language-local-name="norveg-bokmal" 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%AF%E0%A9%81%E0%A8%95%E0%A8%B2%E0%A8%BF%E0%A8%A1%E0%A9%80%E0%A8%85%E0%A8%A8_%E0%A8%B8%E0%A8%AA%E0%A9%87%E0%A8%B8" title="ਯੁਕਲਿਡੀਅਨ ਸਪੇਸ – panjobcha" lang="pa" hreflang="pa" data-title="ਯੁਕਲਿਡੀਅਨ ਸਪੇਸ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjobcha" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Przestrze%C5%84_euklidesowa" title="Przestrzeń euklidesowa – polyakcha" lang="pl" hreflang="pl" data-title="Przestrzeń euklidesowa" data-language-autonym="Polski" data-language-local-name="polyakcha" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%A7%D9%82%D9%84%DB%8C%D8%AF%D8%B3%DB%8C_%D8%B3%D9%BE%DB%8C%D8%B3" title="اقلیدسی سپیس – Western Punjabi" lang="pnb" hreflang="pnb" data-title="اقلیدسی سپیس" 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/Espa%C3%A7o_euclidiano" title="Espaço euclidiano – portugalcha" lang="pt" hreflang="pt" data-title="Espaço euclidiano" data-language-autonym="Português" data-language-local-name="portugalcha" 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/Spa%C8%9Biu_euclidian" title="Spațiu euclidian – rumincha" lang="ro" hreflang="ro" data-title="Spațiu euclidian" data-language-autonym="Română" data-language-local-name="rumincha" 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%BE_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE" title="Евклидово пространство – ruscha" lang="ru" hreflang="ru" data-title="Евклидово пространство" data-language-autonym="Русский" data-language-local-name="ruscha" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Euklidski_prostor" title="Euklidski prostor – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Euklidski prostor" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" 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%94%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%85%E0%B7%80%E0%B6%9A%E0%B7%8F%E0%B7%81%E0%B6%BA" title="යුක්ලිඩියානු අවකාශය – singal" lang="si" hreflang="si" data-title="යුක්ලිඩියානු අවකාශය" data-language-autonym="සිංහල" data-language-local-name="singal" 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_space" title="Euclidean space – Simple English" lang="en-simple" hreflang="en-simple" data-title="Euclidean space" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Evklidski_prostor" title="Evklidski prostor – slovencha" lang="sl" hreflang="sl" data-title="Evklidski prostor" data-language-autonym="Slovenščina" data-language-local-name="slovencha" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Hap%C3%ABsira_Euklidiane" title="Hapësira Euklidiane – alban" lang="sq" hreflang="sq" data-title="Hapësira Euklidiane" data-language-autonym="Shqip" data-language-local-name="alban" 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%BF%D1%80%D0%BE%D1%81%D1%82%D0%BE%D1%80" title="Еуклидов простор – serbcha" lang="sr" hreflang="sr" data-title="Еуклидов простор" data-language-autonym="Српски / srpski" data-language-local-name="serbcha" 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/Euklidiskt_rum" title="Euklidiskt rum – shved" lang="sv" hreflang="sv" data-title="Euklidiskt rum" data-language-autonym="Svenska" data-language-local-name="shved" 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%AE%BF%E0%AE%9F%E0%AE%BF%E0%AE%AF_%E0%AE%B5%E0%AF%86%E0%AE%B3%E0%AE%BF" title="யூக்ளிடிய வெளி – tamil" lang="ta" hreflang="ta" data-title="யூக்ளிடிய வெளி" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Espasyong_Euclides" title="Espasyong Euclides – Tagalog" lang="tl" hreflang="tl" data-title="Espasyong Euclides" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%96klid_uzay%C4%B1" title="Öklid uzayı – turk" lang="tr" hreflang="tr" data-title="Öklid uzayı" data-language-autonym="Türkçe" data-language-local-name="turk" 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%84%D3%99%D0%B7%D0%B0%D1%81%D1%8B" title="Евклид фәзасы – tatar" lang="tt" hreflang="tt" data-title="Евклид фәзасы" data-language-autonym="Татарча / tatarça" data-language-local-name="tatar" 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%D1%96%D0%B2_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%96%D1%80" title="Евклідів простір – ukrain" lang="uk" hreflang="uk" data-title="Евклідів простір" data-language-autonym="Українська" data-language-local-name="ukrain" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Kh%C3%B4ng_gian_Euclid" title="Không gian Euclid – vyetnam" lang="vi" hreflang="vi" data-title="Không gian Euclid" data-language-autonym="Tiếng Việt" data-language-local-name="vyetnam" 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%E7%A9%BA%E9%97%B4" title="欧几里得空间 – vu xitoy" lang="wuu" hreflang="wuu" data-title="欧几里得空间" data-language-autonym="吴语" data-language-local-name="vu xitoy" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AC%A7%E5%87%A0%E9%87%8C%E5%BE%97%E7%A9%BA%E9%97%B4" title="欧几里得空间 – xitoy" lang="zh" hreflang="zh" data-title="欧几里得空间" data-language-autonym="中文" data-language-local-name="xitoy" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%AD%90%E5%B9%BE%E9%87%8C%E5%BE%97%E7%A9%BA%E9%96%93" title="歐幾里得空間 – kanton" lang="yue" hreflang="yue" data-title="歐幾里得空間" data-language-autonym="粵語" data-language-local-name="kanton" 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/Q17295#sitelinks-wikipedia" title="Tillararo ishoratlarni tahrirlash" class="wbc-editpage">Ishoratlarni tahrirla</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="Nomfazolar"> <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/Yevklid_fazosi" title="Sahifani ko‘rish [c]" accesskey="c"><span>Maqola</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Munozara:Yevklid_fazosi&action=edit&redlink=1" rel="discussion" class="new" title="Sahifa matni borasida munozara (sahifa yaratilmagan) [t]" accesskey="t"><span>Munozara</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <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 " 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href="/w/index.php?title=Yevklid_fazosi&variant=uz-cyrl" lang="uz-Cyrl" hreflang="uz-Cyrl"><span>кирилл</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Koʻrinishlar"> <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/Yevklid_fazosi"><span>Mutolaa</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&veaction=edit" title="Bu sahifani tahrirlash [v]" accesskey="v"><span>Tahrirlash</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&action=edit" title="Sahifa manba kodini tahrirlash [e]" accesskey="e"><span>Manbasini tahrirlash</span></a></li><li id="ca-history" 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<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">Asboblar</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">yonqutiga oʻtish</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">yashirish</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Koʻproq opsiyalar" > <div class="vector-menu-heading"> Amallar </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/Yevklid_fazosi"><span>Mutolaa</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&veaction=edit" title="Bu sahifani tahrirlash [v]" accesskey="v"><span>Tahrirlash</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&action=edit" title="Sahifa manba kodini tahrirlash [e]" accesskey="e"><span>Manbasini tahrirlash</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&action=history"><span>Tarix</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Umumiy </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Maxsus:WhatLinksHere/Yevklid_fazosi" title="Ushbu sahifaga bogʻlangan sahifalar roʻyxati [j]" accesskey="j"><span>Bu yerga ishoratlar</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Maxsus:RecentChangesLinked/Yevklid_fazosi" rel="nofollow" title="Bu sahifaga bogʻlangan sahifalardagi yangi oʻzgarishlar [k]" accesskey="k"><span>Bogʻliq oʻzgarishlar</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Maxsus:SpecialPages" title="Maxsus sahifalar ro‘yxati [q]" accesskey="q"><span>Maxsus sahifalar</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&oldid=4448571" title="Sahifaning ushbu versiyasiga doimiy ishorat"><span>Doimiy havola</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Yevklid_fazosi&action=info" title="Bu sahifa haqida koʻproq maʼlumot"><span>Sahifa haqida maʼlumot</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Maxsus:CiteThisPage&page=Yevklid_fazosi&id=4448571&wpFormIdentifier=titleform" title="Information on how to cite this page"><span>Sahifadan matn parchasi ajratish</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Maxsus:UrlShortener&url=https%3A%2F%2Fuz.wikipedia.org%2Fwiki%2FYevklid_fazosi"><span>Qisqartirilgan URL-manzilni olish</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Maxsus:QrCode&url=https%3A%2F%2Fuz.wikipedia.org%2Fwiki%2FYevklid_fazosi"><span>QR-kodni yuklab olish</span></a></li> </ul> </div> </div> <div id="p-electronpdfservice-sidebar-portlet-heading" class="vector-menu mw-portlet mw-portlet-electronpdfservice-sidebar-portlet-heading" > <div class="vector-menu-heading"> Nashr/eksport qilish </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Maxsus:DownloadAsPdf&page=Yevklid_fazosi&action=show-download-screen"><span>PDF sifatida yuklash</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="Ushbu sahifaning bosma uchun versiyasi [p]" accesskey="p"><span>Bosma uchun versiya</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"> Boshqa loyihalarda </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q17295" title="Link to connected data repository item [g]" accesskey="g"><span>Vikimaʼlumotlar bandi</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="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Qiyofa"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Qiyofa</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">yonqutiga oʻtish</button> <button 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data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">Bu 2021-12-27da <b><a href="/wiki/Vikipediya:Manbalarga_ishoratlar" title="Vikipediya:Manbalarga ishoratlar">manbalar</a> <code><ref></ref></code> teglariga olinmagan</b> yoki <b>umuman koʻrsatilmagan</b>.<span class="hide-when-compact"> Iltimos, <a href="/wiki/Vikipediya:Qoida_va_ko%CA%BBrsatmalar" title="Vikipediya:Qoida va koʻrsatmalar">qoida va koʻrsatmalarga</a> muvofiq maqolani vikilashtiring.</span></div></td></tr></tbody></table> <p><b>Yevklid fazosi</b> <a href="/wiki/Matematika" title="Matematika">matematika</a> va <a href="/wiki/Fizika" title="Fizika">fizikaning</a> turli sohalarida qoʻllanadi. </p><p>Yevklid fazosi — Yevklid geometriyasida oʻrganiladigan tekislik va uch oʻlchovli fazoning umumlashgani. Agar vektor fazoda ixtiyoriy x, u vek- torga quyida keltirilgan aksiomalarni qanoatlantiruvchi va (x, u) deb belgilanuvchi son mos qoʻyilgan boʻlsa, bu vektor fazo Yevklid fazosi, (x, u) soni esa skalyar koʻpaytma deyiladi. Aksiomalar: </p> <ol><li>(x, x)>0; x=0 boʻlgan xildagina (x, x)=0;</li> <li>(x, u)=(x, u);</li> <li>(Xx, u)=X(x, u);</li> <li>(x+u, 2)=(x, 2)+(u, 2).</li></ol> <p>Skalyarning haqiqiy yoki kompleksliligiga karab mos ravishda haqiqiy Yevklid fazosi kompleks Yevklid fazosi deb yuritiladi. Agar Yevklid fazosi hosil qilgan vektor fazo (i) oʻlchovli boʻlsa, Yevklid fazosi ham § oʻlchovli deyiladi. Baʼzan, faqat chekli oʻlchovli fazolargina Yevklid fazosi deb ataladi. Yevklid fazosida formula bilann vektor uzunligi, ikki vektor orasidagi burchak aniqlanadi.<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> <div class="mw-heading mw-heading2"><h2 id="Manbalar">Manbalar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Yevklid_fazosi&veaction=edit&section=1" title="Boʻlimni tahrirlash: Manbalar" class="mw-editsection-visualeditor"><span>tahrir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Yevklid_fazosi&action=edit&section=1" title="Edit section's source code: Manbalar"><span>manbasini tahrirlash</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r3605845">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a href="/wiki/O%CA%BBzME" class="mw-redirect" title="OʻzME">OʻzME</a>. Birinchi jild. 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href="https://d-nb.info/gnd/4309127-1">4309127-1</a></span></span></li> <li><span class="nowrap"><a href="https://en.wikipedia.org/wiki/National_Diet_Library" class="extiw" title="en:National Diet Library">NDL</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00562065">00562065</a></span></span></li> <li><span class="nowrap"><a href="https://en.wikipedia.org/wiki/National_Library_of_the_Czech_Republic" class="extiw" title="en:National Library of the Czech Republic">NKC</a>: <span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph120032&CON_LNG=ENG">ph120032</a></span></span></li></ul> </div></td></tr></tbody></table></div> <p><br /> </p> <table class="metadata plainlinks stub" align="center" role="presentation" style="background:transparent"><tbody><tr><td><span typeof="mw:File"><a href="/wiki/Fayl:E-to-the-i-pi.svg" class="mw-file-description" title="Stub 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Siz uni <a class="external text" href="https://uz.wikipedia.org/w/index.php?title=Yevklid_fazosi&action=edit">boyitib,</a> <a href="/wiki/Vikipediya" title="Vikipediya">Vikipediyaga</a> yordam berishingiz mumkin.</i><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r4048111"><style data-mw-deduplicate="TemplateStyles:r4048093">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini 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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=""><pre>"<a dir="ltr" href="https://uz.wikipedia.org/w/index.php?title=Yevklid_fazosi&oldid=4448571">https://uz.wikipedia.org/w/index.php?title=Yevklid_fazosi&oldid=4448571</a>" dan olindi </pre></div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Maxsus:Categories" title="Maxsus:Categories">Turkum</a>: <ul><li><a href="/wiki/Turkum:Matematikaga_oid_chala_maqolalar" title="Turkum:Matematikaga oid chala maqolalar">Matematikaga oid chala maqolalar</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Yashirin turkum: <ul><li><a href="/wiki/Turkum:Ref_teglaridan_foydalanilmagan_maqolalar" title="Turkum:Ref teglaridan foydalanilmagan maqolalar">Ref teglaridan 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