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id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Geschiedenis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Geschiedenis"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Geschiedenis</span> </div> </a> <ul id="toc-Geschiedenis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Definitie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Definitie"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Definitie</span> </div> </a> <button aria-controls="toc-Definitie-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Definitie-subkopje inklappen</span> </button> <ul id="toc-Definitie-sublist" class="vector-toc-list"> <li id="toc-Getallenlijn" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Getallenlijn"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Getallenlijn</span> </div> </a> <ul id="toc-Getallenlijn-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Twee_dimensies" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Twee_dimensies"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Twee dimensies</span> </div> </a> <ul id="toc-Twee_dimensies-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Drie_dimensies" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Drie_dimensies"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Drie dimensies</span> </div> </a> <ul id="toc-Drie_dimensies-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Oriëntatie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Oriëntatie"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Oriëntatie</span> </div> </a> <ul id="toc-Oriëntatie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notatie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notatie"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Notatie</span> </div> </a> <ul id="toc-Notatie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Transformatie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Transformatie"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Transformatie</span> </div> </a> <ul id="toc-Transformatie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referentie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referentie"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Referentie</span> </div> </a> <ul id="toc-Referentie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zie_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zie_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Zie ook</span> </div> </a> <ul id="toc-Zie_ook-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="Inhoud" 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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Cartesisch coördinatenstelsel</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="Ga naar een artikel in een andere taal. Beschikbaar in 74 talen" > <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-74" 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">74 talen</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/Cartesiese_ko%C3%B6rdinatestelsel" title="Cartesiese koördinatestelsel – Afrikaans" lang="af" hreflang="af" data-title="Cartesiese koördinatestelsel" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B8%D8%A7%D9%85_%D8%A5%D8%AD%D8%AF%D8%A7%D8%AB%D9%8A%D8%A7%D8%AA_%D8%AF%D9%8A%D9%83%D8%A7%D8%B1%D8%AA%D9%8A%D8%A9" title="نظام إحداثيات ديكارتية – Arabisch" lang="ar" hreflang="ar" data-title="نظام إحداثيات ديكارتية" data-language-autonym="العربية" data-language-local-name="Arabisch" 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/Coordenaes_cartesianes" title="Coordenaes cartesianes – Asturisch" lang="ast" hreflang="ast" data-title="Coordenaes cartesianes" data-language-autonym="Asturianu" data-language-local-name="Asturisch" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Karteziyan_koordinat_sistemi" title="Karteziyan koordinat sistemi – Azerbeidzjaans" lang="az" hreflang="az" data-title="Karteziyan koordinat sistemi" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A2%D1%83%D1%80%D0%B0_%D0%BC%D3%A9%D0%B9%D3%A9%D1%88%D0%BB%D3%A9_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%B0%D0%BB%D0%B0%D1%80_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D2%BB%D1%8B" title="Тура мөйөшлө координаталар системаһы – Basjkiers" lang="ba" hreflang="ba" data-title="Тура мөйөшлө координаталар системаһы" data-language-autonym="Башҡортса" data-language-local-name="Basjkiers" 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%94%D0%B5%D0%BA%D0%B0%D1%80%D1%82%D0%BE%D0%B2%D0%B0_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%BD%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0" title="Декартова координатна система – Bulgaars" lang="bg" hreflang="bg" data-title="Декартова координатна система" data-language-autonym="Български" data-language-local-name="Bulgaars" 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%95%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A4%E0%A7%87%E0%A6%B8%E0%A7%80%E0%A6%AF%E0%A6%BC_%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BE%E0%A6%A8%E0%A6%BE%E0%A6%82%E0%A6%95_%E0%A6%AC%E0%A7%8D%E0%A6%AF%E0%A6%AC%E0%A6%B8%E0%A7%8D%E0%A6%A5%E0%A6%BE" title="কার্তেসীয় স্থানাংক ব্যবস্থা – Bengaals" lang="bn" hreflang="bn" data-title="কার্তেসীয় স্থানাংক ব্যবস্থা" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Descartesov_koordinatni_sistem" title="Descartesov koordinatni sistem – Bosnisch" lang="bs" hreflang="bs" data-title="Descartesov koordinatni sistem" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" 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/Sistema_de_coordenades_cartesianes" title="Sistema de coordenades cartesianes – Catalaans" lang="ca" hreflang="ca" data-title="Sistema de coordenades cartesianes" data-language-autonym="Català" data-language-local-name="Catalaans" 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%B3%DB%8C%D8%B3%D8%AA%D9%85%DB%8C_%D9%BE%DB%86%D8%AA%D8%A7%D9%86%DB%8C_%D8%AF%DB%8E%DA%A9%D8%A7%D8%B1%D8%AA%DB%8C" title="سیستمی پۆتانی دێکارتی – Soranî" lang="ckb" hreflang="ckb" data-title="سیستمی پۆتانی دێکارتی" data-language-autonym="کوردی" data-language-local-name="Soranî" 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/Kart%C3%A9zsk%C3%A1_soustava_sou%C5%99adnic" title="Kartézská soustava souřadnic – Tsjechisch" lang="cs" hreflang="cs" data-title="Kartézská soustava souřadnic" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" 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%9A%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D1%81%D0%B5%D0%BD_%D1%82%D3%B3%D1%80_%D0%BA%C4%95%D1%82%D0%B5%D1%81%D0%BB%D0%B5_%D1%82%D1%8B%D1%82%C4%83%D0%BC%C4%95" title="Координатсен тӳр кĕтесле тытăмĕ – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Координатсен тӳр кĕтесле тытăмĕ" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" 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/System_gyfesurynnol_Gartesaidd" title="System gyfesurynnol Gartesaidd – Welsh" lang="cy" hreflang="cy" data-title="System gyfesurynnol Gartesaidd" data-language-autonym="Cymraeg" data-language-local-name="Welsh" 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/Kartesisk_koordinatsystem" title="Kartesisk koordinatsystem – Deens" lang="da" hreflang="da" data-title="Kartesisk koordinatsystem" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Kartesisches_Koordinatensystem" title="Kartesisches Koordinatensystem – Duits" lang="de" hreflang="de" data-title="Kartesisches Koordinatensystem" data-language-autonym="Deutsch" data-language-local-name="Duits" 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%9A%CE%B1%CF%81%CF%84%CE%B5%CF%83%CE%B9%CE%B1%CE%BD%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1_%CF%83%CF%85%CE%BD%CF%84%CE%B5%CF%84%CE%B1%CE%B3%CE%BC%CE%AD%CE%BD%CF%89%CE%BD" title="Καρτεσιανό σύστημα συντεταγμένων – Grieks" lang="el" hreflang="el" data-title="Καρτεσιανό σύστημα συντεταγμένων" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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/Cartesian_coordinate_system" title="Cartesian coordinate system – Engels" lang="en" hreflang="en" data-title="Cartesian coordinate system" data-language-autonym="English" data-language-local-name="Engels" 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/Kartezia_koordinato" title="Kartezia koordinato – Esperanto" lang="eo" hreflang="eo" data-title="Kartezia koordinato" 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/Coordenadas_cartesianas" title="Coordenadas cartesianas – Spaans" lang="es" hreflang="es" data-title="Coordenadas cartesianas" data-language-autonym="Español" data-language-local-name="Spaans" 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/Descartesi_koordinaadid" title="Descartesi koordinaadid – Estisch" lang="et" hreflang="et" data-title="Descartesi koordinaadid" data-language-autonym="Eesti" data-language-local-name="Estisch" 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/Koordenatu_kartesiar" title="Koordenatu kartesiar – Baskisch" lang="eu" hreflang="eu" data-title="Koordenatu kartesiar" data-language-autonym="Euskara" data-language-local-name="Baskisch" 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/%D8%AF%D8%B3%D8%AA%DA%AF%D8%A7%D9%87_%D9%85%D8%AE%D8%AA%D8%B5%D8%A7%D8%AA_%D8%AF%DA%A9%D8%A7%D8%B1%D8%AA%DB%8C" title="دستگاه مختصات دکارتی – Perzisch" lang="fa" hreflang="fa" data-title="دستگاه مختصات دکارتی" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Suorakulmainen_koordinaatisto" title="Suorakulmainen koordinaatisto – Fins" lang="fi" hreflang="fi" data-title="Suorakulmainen koordinaatisto" data-language-autonym="Suomi" data-language-local-name="Fins" 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/Coordonn%C3%A9es_cart%C3%A9siennes" title="Coordonnées cartésiennes – Frans" lang="fr" hreflang="fr" data-title="Coordonnées cartésiennes" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Comhordan%C3%A1id%C3%AD_Cairt%C3%A9iseacha" title="Comhordanáidí Cairtéiseacha – Iers" lang="ga" hreflang="ga" data-title="Comhordanáidí Cairtéiseacha" data-language-autonym="Gaeilge" data-language-local-name="Iers" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Sistema_de_coordenadas_cartesianas" title="Sistema de coordenadas cartesianas – Galicisch" lang="gl" hreflang="gl" data-title="Sistema de coordenadas cartesianas" data-language-autonym="Galego" data-language-local-name="Galicisch" 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%A2%D7%A8%D7%9B%D7%AA_%D7%A6%D7%99%D7%A8%D7%99%D7%9D_%D7%A7%D7%A8%D7%98%D7%96%D7%99%D7%AA" title="מערכת צירים קרטזית – Hebreeuws" lang="he" hreflang="he" data-title="מערכת צירים קרטזית" data-language-autonym="עברית" data-language-local-name="Hebreeuws" 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%95%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A5%80%E0%A4%AF_%E0%A4%A8%E0%A4%BF%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%87%E0%A4%B6%E0%A4%BE%E0%A4%82%E0%A4%95_%E0%A4%AA%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%A4%E0%A4%BF" title="कार्तीय निर्देशांक पद्धति – Hindi" lang="hi" hreflang="hi" data-title="कार्तीय निर्देशांक पद्धति" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kartezijev_koordinatni_sustav" title="Kartezijev koordinatni sustav – Kroatisch" lang="hr" hreflang="hr" data-title="Kartezijev koordinatni sustav" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" 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/Descartes-f%C3%A9le_koordin%C3%A1ta-rendszer" title="Descartes-féle koordináta-rendszer – Hongaars" lang="hu" hreflang="hu" data-title="Descartes-féle koordináta-rendszer" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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%B4%D5%A5%D5%AF%D5%A1%D6%80%D5%BF%D5%B5%D5%A1%D5%B6_%D5%AF%D5%B8%D5%B8%D6%80%D5%A4%D5%AB%D5%B6%D5%A1%D5%BF%D5%B6%D5%A5%D6%80%D5%AB_%D5%B0%D5%A1%D5%B4%D5%A1%D5%AF%D5%A1%D6%80%D5%A3" title="Դեկարտյան կոորդինատների համակարգ – Armeens" lang="hy" hreflang="hy" data-title="Դեկարտյան կոորդինատների համակարգ" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Sistem_koordinat_Cartesius" title="Sistem koordinat Cartesius – Indonesisch" lang="id" hreflang="id" data-title="Sistem koordinat Cartesius" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" 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/Karteziana_koordinataro" title="Karteziana koordinataro – Ido" lang="io" hreflang="io" data-title="Karteziana koordinataro" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Kartes%C3%ADusarhnitakerfi%C3%B0" title="Kartesíusarhnitakerfið – IJslands" lang="is" hreflang="is" data-title="Kartesíusarhnitakerfið" data-language-autonym="Íslenska" data-language-local-name="IJslands" 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/Sistema_di_riferimento_cartesiano" title="Sistema di riferimento cartesiano – Italiaans" lang="it" hreflang="it" data-title="Sistema di riferimento cartesiano" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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/%E7%9B%B4%E4%BA%A4%E5%BA%A7%E6%A8%99%E7%B3%BB" title="直交座標系 – Japans" lang="ja" hreflang="ja" data-title="直交座標系" data-language-autonym="日本語" data-language-local-name="Japans" 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%93%E1%83%94%E1%83%99%E1%83%90%E1%83%A0%E1%83%A2%E1%83%98%E1%83%A1_%E1%83%99%E1%83%9D%E1%83%9D%E1%83%A0%E1%83%93%E1%83%98%E1%83%9C%E1%83%90%E1%83%A2%E1%83%97%E1%83%90_%E1%83%A1%E1%83%98%E1%83%A1%E1%83%A2%E1%83%94%E1%83%9B%E1%83%90" title="დეკარტის კოორდინატთა სისტემა – Georgisch" lang="ka" hreflang="ka" data-title="დეკარტის კოორდინატთა სისტემა" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Cartesian_Coordinates" title="Cartesian Coordinates – Gikuyu" lang="ki" hreflang="ki" data-title="Cartesian Coordinates" data-language-autonym="Gĩkũyũ" data-language-local-name="Gikuyu" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%94%D0%B5%D0%BA%D0%B0%D1%80%D1%82%D1%82%D1%8B%D2%9B_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D1%82%D0%B0%D1%80_%D0%B6%D2%AF%D0%B9%D0%B5%D1%81%D1%96" title="Декарттық координаттар жүйесі – Kazachs" lang="kk" hreflang="kk" data-title="Декарттық координаттар жүйесі" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%8D%B0%EC%B9%B4%EB%A5%B4%ED%8A%B8_%EC%A2%8C%ED%91%9C%EA%B3%84" title="데카르트 좌표계 – Koreaans" lang="ko" hreflang="ko" data-title="데카르트 좌표계" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Systema_Cartesianum_coordinatarum" title="Systema Cartesianum coordinatarum – Latijn" lang="la" hreflang="la" data-title="Systema Cartesianum coordinatarum" data-language-autonym="Latina" data-language-local-name="Latijn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Dekarto_koordina%C4%8Di%C5%B3_sistema" title="Dekarto koordinačių sistema – Litouws" lang="lt" hreflang="lt" data-title="Dekarto koordinačių sistema" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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/Dekarta_koordin%C4%81tu_sist%C4%93ma" title="Dekarta koordinātu sistēma – Lets" lang="lv" hreflang="lv" data-title="Dekarta koordinātu sistēma" data-language-autonym="Latviešu" data-language-local-name="Lets" 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%B5%D0%BA%D0%B0%D1%80%D1%82%D0%BE%D0%B2_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%B5%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Декартов координатен систем – Macedonisch" lang="mk" hreflang="mk" data-title="Декартов координатен систем" data-language-autonym="Македонски" data-language-local-name="Macedonisch" 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%85%E0%B4%95%E0%B5%8D%E0%B4%B7%E0%B4%82" title="അക്ഷം – Malayalam" lang="ml" hreflang="ml" data-title="അക്ഷം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%95%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%9F%E0%A5%87%E0%A4%B6%E0%A4%BF%E0%A4%AF%E0%A4%A8_%E0%A4%B8%E0%A4%B9%E0%A4%A8%E0%A4%BF%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%87%E0%A4%B6%E0%A4%95_%E0%A4%AA%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%A4%E0%A5%80" title="कार्टेशियन सहनिर्देशक पद्धती – Marathi" lang="mr" hreflang="mr" data-title="कार्टेशियन सहनिर्देशक पद्धती" data-language-autonym="मराठी" data-language-local-name="Marathi" 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/Sistem_koordinat_Cartes" title="Sistem koordinat Cartes – Maleis" lang="ms" hreflang="ms" data-title="Sistem koordinat Cartes" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" 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%80%E1%80%AC%E1%80%90%E1%80%80%E1%80%BA%E1%80%85%E1%80%AE%E1%80%B8%E1%80%9A%E1%80%94%E1%80%BA%E1%80%B8_%E1%80%80%E1%80%AD%E1%80%AF%E1%80%A9%E1%80%92%E1%80%AD%E1%80%94%E1%80%AD%E1%80%90%E1%80%BA%E1%80%85%E1%80%94%E1%80%85%E1%80%BA" title="ကာတက်စီးယန်း ကိုဩဒိနိတ်စနစ် – Birmaans" lang="my" hreflang="my" data-title="ကာတက်စီးယန်း ကိုဩဒိနိတ်စနစ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Birmaans" 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/Karteesch_Koordinatensystem" title="Karteesch Koordinatensystem – Nedersaksisch" lang="nds" hreflang="nds" data-title="Karteesch Koordinatensystem" data-language-autonym="Plattdüütsch" data-language-local-name="Nedersaksisch" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kartesisk_koordinatsystem" title="Kartesisk koordinatsystem – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Kartesisk koordinatsystem" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kartesisk_koordinatsystem" title="Kartesisk koordinatsystem – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Kartesisk koordinatsystem" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" 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%95%E0%A8%BE%E0%A8%B0%E0%A8%9F%E0%A9%87%E0%A8%9C%E0%A8%BC%E0%A9%80_%E0%A8%97%E0%A9%81%E0%A8%A3%E0%A8%95_%E0%A8%AA%E0%A9%8D%E0%A8%B0%E0%A8%AC%E0%A9%B0%E0%A8%A7" title="ਕਾਰਟੇਜ਼ੀ ਗੁਣਕ ਪ੍ਰਬੰਧ – Punjabi" lang="pa" hreflang="pa" data-title="ਕਾਰਟੇਜ਼ੀ ਗੁਣਕ ਪ੍ਰਬੰਧ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" 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/Uk%C5%82ad_wsp%C3%B3%C5%82rz%C4%99dnych_kartezja%C5%84skich" title="Układ współrzędnych kartezjańskich – Pools" lang="pl" hreflang="pl" data-title="Układ współrzędnych kartezjańskich" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_coordenadas_cartesiano" title="Sistema de coordenadas cartesiano – Portugees" lang="pt" hreflang="pt" data-title="Sistema de coordenadas cartesiano" data-language-autonym="Português" data-language-local-name="Portugees" 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/Coordonate_carteziene" title="Coordonate carteziene – Roemeens" lang="ro" hreflang="ro" data-title="Coordonate carteziene" data-language-autonym="Română" data-language-local-name="Roemeens" 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%9F%D1%80%D1%8F%D0%BC%D0%BE%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82" title="Прямоугольная система координат – Russisch" lang="ru" hreflang="ru" data-title="Прямоугольная система координат" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Sistema_di_rifirimentu_cartisianu" title="Sistema di rifirimentu cartisianu – Siciliaans" lang="scn" hreflang="scn" data-title="Sistema di rifirimentu cartisianu" data-language-autonym="Sicilianu" data-language-local-name="Siciliaans" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kartezijanski_koordinatni_sistem" title="Kartezijanski koordinatni sistem – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Kartezijanski koordinatni sistem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Cartesian_coordinate_system" title="Cartesian coordinate system – Simple English" lang="en-simple" hreflang="en-simple" data-title="Cartesian coordinate system" 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/Kartezi%C3%A1nska_s%C3%BAstava_s%C3%BAradn%C3%ADc_(v_naju%C5%BE%C5%A1om_zmysle)" title="Karteziánska sústava súradníc (v najužšom zmysle) – Slowaaks" lang="sk" hreflang="sk" data-title="Karteziánska sústava súradníc (v najužšom zmysle)" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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/Kartezi%C4%8Dni_koordinatni_sistem" title="Kartezični koordinatni sistem – Sloveens" lang="sl" hreflang="sl" data-title="Kartezični koordinatni sistem" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" 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/Sistemi_koordinativ_kartezian" title="Sistemi koordinativ kartezian – Albanees" lang="sq" hreflang="sq" data-title="Sistemi koordinativ kartezian" data-language-autonym="Shqip" data-language-local-name="Albanees" 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%D0%B5%D0%BA%D0%B0%D1%80%D1%82%D0%BE%D0%B2_%D0%BF%D1%80%D0%B0%D0%B2%D0%BE%D1%83%D0%B3%D0%BB%D0%B8_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%BD%D0%B8_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Декартов правоугли координатни систем – Servisch" lang="sr" hreflang="sr" data-title="Декартов правоугли координатни систем" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" 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/Kartesiskt_koordinatsystem" title="Kartesiskt koordinatsystem – Zweeds" lang="sv" hreflang="sv" data-title="Kartesiskt koordinatsystem" data-language-autonym="Svenska" data-language-local-name="Zweeds" 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%95%E0%AE%BE%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AF%80%E0%AE%9A%E0%AE%BF%E0%AE%AF%E0%AE%A9%E0%AF%8D_%E0%AE%86%E0%AE%B3%E0%AF%8D%E0%AE%95%E0%AF%82%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AF%81_%E0%AE%AE%E0%AF%81%E0%AE%B1%E0%AF%88%E0%AE%AE%E0%AF%88" title="காட்டீசியன் ஆள்கூற்று முறைமை – Tamil" lang="ta" hreflang="ta" data-title="காட்டீசியன் ஆள்கூற்று முறைமை" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B0%E0%B8%9A%E0%B8%9A%E0%B8%9E%E0%B8%B4%E0%B8%81%E0%B8%B1%E0%B8%94%E0%B8%84%E0%B8%B2%E0%B8%A3%E0%B9%8C%E0%B8%97%E0%B8%B5%E0%B9%80%E0%B8%8B%E0%B8%B5%E0%B8%A2%E0%B8%99" title="ระบบพิกัดคาร์ทีเซียน – Thai" lang="th" hreflang="th" data-title="ระบบพิกัดคาร์ทีเซียน" data-language-autonym="ไทย" data-language-local-name="Thai" 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font-size:95%;" role="note"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/15px-1rightarrow_blue.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/23px-1rightarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/30px-1rightarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <i>"Assenstelsel" verwijst hierheen. Zie <a href="/wiki/Assenstelsel_(kristallografie)" title="Assenstelsel (kristallografie)">Assenstelsel (kristallografie)</a> voor de term uit de kristallografie.</i> </div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Cartesian-coordinate-system.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Cartesian-coordinate-system.svg/260px-Cartesian-coordinate-system.svg.png" decoding="async" width="260" height="257" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Cartesian-coordinate-system.svg/390px-Cartesian-coordinate-system.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Cartesian-coordinate-system.svg/520px-Cartesian-coordinate-system.svg.png 2x" data-file-width="661" data-file-height="654" /></a><figcaption>Illustratie van een cartesisch coördinaten-stelsel. Vier punten worden gemarkeerd en geëtiketteerd met hun coördinaten. (2,3) in het groen, (-3,1) in het rood, (-1.5, -2.5) in het blauw en de <a href="/wiki/Oorsprong_(wiskunde)" title="Oorsprong (wiskunde)">oorsprong</a> (0,0) in het paars.</figcaption></figure> <p>Een <b>cartesisch</b> (of <b>cartesiaans</b>) <b>coördinatenstelsel</b> is een <a href="/wiki/Orthogonaal" title="Orthogonaal">orthogonaal</a> <a href="/wiki/Co%C3%B6rdinatenstelsel" title="Coördinatenstelsel">coördinatenstelsel</a> waarbij de afstand tussen twee coördinaatlijnen constant is. Voor elke <a href="/wiki/Dimensie_(algemeen)" title="Dimensie (algemeen)">dimensie</a> is er een as (coördinaatas) die bij twee of drie dimensies onderling loodrecht op elkaar staan. Alle punten in dit stelsel die gegeven (vastgelegd) worden door hun <a href="/wiki/Co%C3%B6rdinaten" class="mw-redirect" title="Coördinaten">coördinaten</a> ten opzichte van de assen, vormen samen het <i>cartesisch vlak</i>. </p><p>Het cartesisch stelsel is het meest gebruikte coördinatenstelsel, omdat in dit stelsel <a href="/wiki/Meetkunde" title="Meetkunde">meetkundige</a> eigenschappen goed beschreven kunnen worden. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Geschiedenis">Geschiedenis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=1" title="Bewerk dit kopje: Geschiedenis" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=1" title="De broncode bewerken van de sectie: Geschiedenis"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het cartesisch coördinatenstelsel is genoemd naar zijn bedenker, de <a href="/wiki/Frankrijk" title="Frankrijk">Franse</a> <a href="/wiki/Wiskundige" title="Wiskundige">wiskundige</a> en <a href="/wiki/Filosoof" title="Filosoof">filosoof</a> <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">René Descartes</a>; diens <a href="/wiki/Latijn" title="Latijn">Latijnse</a> naam was Cartesius. </p><p>Descartes ontwikkelde het idee voor dit systeem in <a href="/wiki/1637" title="1637">1637</a> in de volgende publicaties: </p> <ul><li><i><a href="/wiki/Verhandeling_over_de_methode" title="Verhandeling over de methode">Discours de la méthode</a></i> <ul><li>In het tweede deel introduceert hij het nieuwe idee om de positie van een punt of een object in een vlak vast te leggen via de afstand daarvan tot twee elkaar snijdende lijnen.</li></ul></li> <li><i><a href="/w/index.php?title=La_G%C3%A9om%C3%A9trie&action=edit&redlink=1" class="new" title="La Géométrie (de pagina bestaat niet)">La Géométrie</a></i> <ul><li>Hierin werkt hij dat idee verder uit.</li></ul></li></ul> <p>Dit assenstelsel werd vervolgens door de Leidse hoogleraar <a href="/wiki/Frans_van_Schooten" title="Frans van Schooten">Frans van Schooten</a> uitgewerkt.<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="Definitie">Definitie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=2" title="Bewerk dit kopje: Definitie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=2" title="De broncode bewerken van de sectie: Definitie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Getallenlijn">Getallenlijn</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=3" title="Bewerk dit kopje: Getallenlijn" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=3" title="De broncode bewerken van de sectie: Getallenlijn"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="hatnote" style="margin-bottom:0.5em; padding:0.5em 0 0.5em 1.6em; font-size:95%;" role="note"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/15px-1rightarrow_blue.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/23px-1rightarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/30px-1rightarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <i>Zie <a href="/wiki/Re%C3%ABle_lijn" title="Reële lijn">Reële lijn</a> voor het hoofdartikel over dit onderwerp.</i></div> <p>Het kiezen van een cartesisch coördinatenstelsel voor een eendimensionale ruimte - dat wil zeggen voor een rechte <a href="/wiki/Lijn_(meetkunde)" title="Lijn (meetkunde)">lijn</a> - betekent het kiezen van een punt <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span>, de <a href="/wiki/Oorsprong_(wiskunde)" title="Oorsprong (wiskunde)">oorsprong</a> (op die lijn), een eenheid van lengte en een <a href="/wiki/Ori%C3%ABntatie_(chiraliteit)" title="Oriëntatie (chiraliteit)">oriëntatie</a> op de lijn. Dit laatste betekent het kiezen welke van de twee halve lijnen die <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span> als beginpunt hebben, de <i>positieve</i> en welke de <i>negatieve</i> is. De lijn is dan georiënteerd (of gericht) van de negatieve kant naar de positieve kant. Dan kan de positie van elk punt <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> op de lijn worden vastgelegd door de afstand tot <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span>, voorzien van een plusteken (+) of minteken (-), afhankelijk van op welke halve lijn <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 P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> ligt. </p><p>Een rechte lijn met een gekozen cartesisch systeem wordt <i>getallenlijn</i> genoemd. Elk reëel getal, of het nu een geheel getal, rationaal getal of irrationaal getal is, heeft een unieke positie op de lijn. Omgekeerd kan elk punt op de lijn worden geïnterpreteerd als een <a href="/wiki/Getal_(wiskunde)" title="Getal (wiskunde)">getal</a> in een geordend continuüm, dat de reële getallen bevat. </p> <div class="mw-heading mw-heading3"><h3 id="Twee_dimensies">Twee dimensies</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=4" title="Bewerk dit kopje: Twee dimensies" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=4" title="De broncode bewerken van de sectie: Twee dimensies"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een cartesisch coördinatenstelsel in twee dimensies heeft twee assen, meestal <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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>-as en <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-as genoemd, die loodrecht op elkaar staan, en een zogeheten <i>assenkruis</i> vormen. De punten in zo'n assenstelsel vormen een vlak, het <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 xy}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle xy}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c72eb345e496513fb8b2fa4aa8c4d89b855f9a01" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.485ex; height:2.009ex;" alt="{\displaystyle xy}"></span>-vlak of cartesische vlak. De assen worden bij het tekenen meestal horizontaal en verticaal gekozen, met de positieve <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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>-richting naar rechts en de positieve <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-richting naar boven. </p><p>Het punt waarin de twee assen elkaar snijden, wordt <i>oorsprong</i> genoemd, gewoonlijk aangegeven met de letter <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 O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d70e1d0d87e2ef1092ea1ffe2923d9933ff18fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.773ex; height:2.176ex;" alt="{\displaystyle O}"></span>. Op beide assen is de eenheid van lengte gelijk. </p><p>Een specifiek punt in het cartesische vlak wordt aangegeven door het coördinatenpaar <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 (x,y)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x,y)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/41cf50e4a314ca8e2c30964baa8d26e5be7a9386" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.328ex; height:2.843ex;" alt="{\displaystyle (x,y)}"></span>, gevormd door de coördinaten <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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> en <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span> van het punt die de gerichte afstanden van het punt tot de beide assen voorstellen. Voorbeeld: het punt (5,2) in de afbeelding hieronder. </p> <figure class="mw-default-size mw-halign-center" typeof="mw:File"><a href="/wiki/Bestand:Cartesiancoordinates2D.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/c4/Cartesiancoordinates2D.jpg" decoding="async" width="226" height="224" class="mw-file-element" data-file-width="226" data-file-height="224" /></a><figcaption></figcaption></figure> <p>Met de pijlen op de assen kan aangegeven worden dat ze oneindig lang zijn in die richting. De twee assen definiëren samen vier <a href="/wiki/Kwadrant_(wiskunde)" title="Kwadrant (wiskunde)">kwadranten</a>, aangegeven met de <a href="/wiki/Romeinse_cijfers" title="Romeinse cijfers">Romeinse cijfers</a> I, II, III en IV. De kwadranten worden tegen de klok in benoemd, beginnend bij het kwadrant rechtsboven. In de onderstaande tabel staan de mogelijke waarden op de <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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>- en de <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-as voor de vier kwadranten. </p> <dl><dd><table border="0" cellspacing="0" cellpadding="0" width="40%" style="text-align:center;"> <tbody><tr> <th>kwadrant </th> <th><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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>-waarden </th> <th><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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-waarden </th></tr> <tr> <td>I</td> <td>> 0</td> <td>> 0 </td></tr> <tr> <td>II</td> <td>< 0</td> <td>> 0 </td></tr> <tr> <td>III</td> <td>< 0</td> <td>< 0 </td></tr> <tr> <td>IV</td> <td>> 0</td> <td>< 0 </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Drie_dimensies">Drie dimensies</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=5" title="Bewerk dit kopje: Drie dimensies" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=5" title="De broncode bewerken van de sectie: Drie dimensies"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Vroeg in de <a href="/wiki/19e_eeuw" title="19e eeuw">19e eeuw</a> is het stelsel uitgebreid naar drie dimensies. Hiervoor is er een nieuwe as geïntroduceerd, de <a href="/wiki/Z-as" class="mw-redirect" title="Z-as"><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 z}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>z</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle z}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf368e72c009decd9b6686ee84a375632e11de98" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.088ex; height:1.676ex;" alt="{\displaystyle z}"></span>-as</a>. </p><p>Een punt in een driedimensionale ruimte wordt aangegeven met <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 (x,y,z)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x,y,z)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/22a8c93372e8f8b6e24d523bd5545aed3430baf4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.45ex; height:2.843ex;" alt="{\displaystyle (x,y,z)}"></span>. Een voorbeeld van een driedimensionaal cartesisch coördinatenstelsel is in de hier onderstaande afbeelding te zien. In de afbeelding is het punt (2,3,4) weergegeven. </p><p><span typeof="mw:File"><a href="/wiki/Bestand:Coord_system_CA_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Coord_system_CA_0.svg/400px-Coord_system_CA_0.svg.png" decoding="async" width="400" height="387" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Coord_system_CA_0.svg/600px-Coord_system_CA_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/69/Coord_system_CA_0.svg/800px-Coord_system_CA_0.svg.png 2x" data-file-width="620" data-file-height="600" /></a></span> </p> <div class="mw-heading mw-heading2"><h2 id="Oriëntatie"><span id="Ori.C3.ABntatie"></span>Oriëntatie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=6" title="Bewerk dit kopje: Oriëntatie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=6" title="De broncode bewerken van de sectie: Oriëntatie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Right_hand_rule_Cartesian_axes-permuted.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Right_hand_rule_Cartesian_axes-permuted.svg/260px-Right_hand_rule_Cartesian_axes-permuted.svg.png" decoding="async" width="260" height="235" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Right_hand_rule_Cartesian_axes-permuted.svg/390px-Right_hand_rule_Cartesian_axes-permuted.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Right_hand_rule_Cartesian_axes-permuted.svg/520px-Right_hand_rule_Cartesian_axes-permuted.svg.png 2x" data-file-width="507" data-file-height="459" /></a><figcaption>Houding van de rechterhand voor een rechtshandig assenstelsel</figcaption></figure> <p>In drie dimensies zijn er (afgezien van rotatie van het geheel) twee manieren om de drie assen onderling loodrecht op elkaar te zetten, namelijk via het zogeheten linkshandig of rechtshandig assenstelsel. De afbeelding hierboven is een rechtshandig coördinatenstelsel. Dit kan gecontroleerd worden met de <a href="/wiki/Rechterhandregel" class="mw-redirect" title="Rechterhandregel">rechterhandregel</a>. Spreid <a href="/wiki/Duim_(vinger)" title="Duim (vinger)">duim</a>, wijs- en middelvinger van de rechterhand zo, dat ze onderling haaks op elkaar staan. De wijsvinger is gestrekt en de middelvinger naar binnen gebogen. Wijs met de wijsvinger in de richting van de positieve <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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>-as en met de middelvinger in de richting van de positieve <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>-as. Als de duim in de richting van de positieve <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 z}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>z</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle z}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf368e72c009decd9b6686ee84a375632e11de98" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.088ex; height:1.676ex;" alt="{\displaystyle z}"></span>-as wijst, is er sprake van een rechtshandig assenstelsel. </p><p>Rechtshandig: <span class="mw-default-size" typeof="mw:File"><a href="/wiki/Bestand:Righthandedcartesian.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/c6/Righthandedcartesian.png" decoding="async" width="339" height="330" class="mw-file-element" data-file-width="339" data-file-height="330" /></a></span> </p><p>Linkshandig: <span class="mw-default-size" typeof="mw:File"><a href="/wiki/Bestand:Lefthandedcartesian.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Lefthandedcartesian.png" decoding="async" width="339" height="330" class="mw-file-element" data-file-width="339" data-file-height="330" /></a></span> </p><p>Wanneer de <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 z}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>z</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle z}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf368e72c009decd9b6686ee84a375632e11de98" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.088ex; height:1.676ex;" alt="{\displaystyle z}"></span>-as naar boven wijst, wordt het soms een wereldcoördinatenstelsel genoemd, zoals in bovenstaande afbeelding. Het belangrijkste is echter in welke richting de assen met hun positieve kant wijzen ten opzichte van elkaar. Het <a href="/wiki/Spiegelbeeld_(reflectie)" title="Spiegelbeeld (reflectie)">spiegelbeeld</a> van een rechtshandig systeem is een linkshandig systeem. </p><p>Het linkshandig systeem wordt ook gebruikt, zij het minder vaak dan het rechtshandig systeem. </p> <div class="mw-heading mw-heading2"><h2 id="Notatie">Notatie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=7" title="Bewerk dit kopje: Notatie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=7" title="De broncode bewerken van de sectie: Notatie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Het punt <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 (0,2,7)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>7</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (0,2,7)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4cd0ac9a12bcc22c95651e0ea56509a2e3386a6e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.365ex; height:2.843ex;" alt="{\displaystyle (0,2,7)}"></span> in de driedimensionale ruimte kan men een naam geven, bijvoorbeeld <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 P=(0,2,7)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>7</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=(0,2,7)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/22bfd500cc313f324d19f9337ba8f62b581d25a8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.208ex; height:2.843ex;" alt="{\displaystyle P=(0,2,7)}"></span>. Of in twee dimensies bijvoorbeeld <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 A=({\tfrac {1}{2}},-1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mstyle> </mrow> <mo>,</mo> <mo>−</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=({\tfrac {1}{2}},-1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1beac941b6078ba193524687656cdc15d7b411b3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:12.314ex; height:3.509ex;" alt="{\displaystyle A=({\tfrac {1}{2}},-1)}"></span>. De naam (letter) is slechts een afkorting voor het rijtje getallen. In sommige disciplines bestaat de gewoonte een punt <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 P=(x_{P},y_{P},z_{P})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo>=</mo> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P=(x_{P},y_{P},z_{P})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1802dd6348794de2f2d54006369141daef60e025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.671ex; height:2.843ex;" alt="{\displaystyle P=(x_{P},y_{P},z_{P})}"></span> niet aan te duiden als het rijtje van z'n coördinaten, maar als <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 P(x_{P},y_{P},z_{P})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>z</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>P</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P(x_{P},y_{P},z_{P})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/984733a2d0bf266de378ef755e4e2150c920e02b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.572ex; height:2.843ex;" alt="{\displaystyle P(x_{P},y_{P},z_{P})}"></span>, dus met weglating van het =-teken; soms ook met de coördinaten gescheiden door verticale strepen in plaats van door komma's om verwarring met decimale komma's te voorkomen. In die notatie stelt <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 B(0|3|1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo stretchy="false">(</mo> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B(0|3|1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae0eca96e018ae4656d9fa9ab1cbc58de1549a9c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.354ex; height:2.843ex;" alt="{\displaystyle B(0|3|1)}"></span> het punt <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 B=(0,3,1)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B=(0,3,1)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/598bdb52226d74d5cae0a538932f76d2fc3dd435" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.227ex; height:2.843ex;" alt="{\displaystyle B=(0,3,1)}"></span> voor. </p> <div class="mw-heading mw-heading2"><h2 id="Transformatie">Transformatie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=8" title="Bewerk dit kopje: Transformatie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=8" title="De broncode bewerken van de sectie: Transformatie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een cartesisch coördinatenstelsel kan worden <a href="/wiki/Co%C3%B6rdinatentransformatie" title="Coördinatentransformatie">getransformeerd in een ander coördinatenstelsel</a> dat al of niet ook een cartesisch coördinatenstelsel is. Hierbij veranderen de coördinaten van de punten in het assenstelsel. Bijzondere gevallen zijn de transformaties die een <a href="/wiki/Lineaire_transformatie" title="Lineaire transformatie">lineaire transformatie</a> en/of een <a href="/wiki/Isometrie_(wiskunde)" title="Isometrie (wiskunde)">isometrie</a> zijn. </p><p>Andere <a href="/wiki/Co%C3%B6rdinatenstelsel" title="Coördinatenstelsel">coördinatenstelsels</a> waarin de cartesische coördinaten kunnen worden uitgedrukt zijn: </p> <ul><li><a href="/wiki/Poolco%C3%B6rdinaten" title="Poolcoördinaten">Poolcoördinaten</a></li> <li><a href="/wiki/Bolco%C3%B6rdinaten" title="Bolcoördinaten">Bolcoördinaten</a></li> <li><a href="/wiki/Gegeneraliseerde_co%C3%B6rdinaten" title="Gegeneraliseerde coördinaten">Gegeneraliseerde coördinaten</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referentie">Referentie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=9" title="Bewerk dit kopje: Referentie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=9" title="De broncode bewerken van de sectie: Referentie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="font-variant:small-caps;">René Descartes (1637)</span>: <i>Discourse on Method, Optics, Geometry, and Meteorology</i>; vertaling <span style="font-variant:small-caps;">Paul J. Oskamp (2001)</span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&veaction=edit&section=10" title="Bewerk dit kopje: Zie ook" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Cartesisch_co%C3%B6rdinatenstelsel&action=edit&section=10" title="De broncode bewerken van de sectie: Zie ook"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Logaritmische_schaal" title="Logaritmische schaal">Logaritmische schaal</a></li> <li><a href="/wiki/Euclidische_ruimte" title="Euclidische ruimte">Euclidische ruimte</a></li> <li><a href="/wiki/Hilbertruimte" title="Hilbertruimte">Hilbertruimte</a></li></ul> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span style="font-variant:small-caps;">Rens Bod (2019)</span>: <i>Een wereld vol patronen</i>. Amsterdam: Prometheus; p. 343</span> </li> </ol></div></div> </div> <div class="interProject commons mw-list-item" style="display:none;"><a href="https://commons.wikimedia.org/wiki/Category:Cartesisch_co%C3%B6rdinatenstelsel#mw-subcategories" class="extiw" title="commons:Category:Cartesisch coördinatenstelsel">Mediabestanden</a></div> <div class="interProjectTemplate interProject-groot toccolours" style="display:flex; gap:1em; align-items:center; clear:both; margin:1em 0 -0.5em 0;"> <div style="min-width:max-content;"><span class="noviewer noresize" typeof="mw:File"><a href="/wiki/Bestand:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/25px-Commons-logo.svg.png" decoding="async" width="25" height="34" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/38px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/50px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span></div> <div>Zie de categorie <i><b><a href="https://commons.wikimedia.org/wiki/Category:Cartesian_coordinates#mw-subcategories" class="extiw" title="commons:Category:Cartesian coordinates">Cartesian coordinates</a></b></i> van <a href="/wiki/Wikimedia_Commons" title="Wikimedia Commons">Wikimedia Commons</a> voor mediabestanden over dit onderwerp.</div> </div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Cartesisch_coördinatenstelsel&oldid=67279759">https://nl.wikipedia.org/w/index.php?title=Cartesisch_coördinatenstelsel&oldid=67279759</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorieën</a>: <ul><li><a href="/wiki/Categorie:Meetkunde" title="Categorie:Meetkunde">Meetkunde</a></li><li><a href="/wiki/Categorie:Grafiek" title="Categorie:Grafiek">Grafiek</a></li><li><a href="/wiki/Categorie:Werk_van_Descartes" title="Categorie:Werk van Descartes">Werk van Descartes</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Deze pagina is voor het laatst bewerkt op 28 mrt 2024 om 11:42.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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