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vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Cyfeiriadau"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Cyfeiriadau</span> </div> </a> <ul id="toc-Cyfeiriadau-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="Cynnwys" 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="Toglo'r tabl cynnwys" > <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">Toglo'r tabl cynnwys</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">Tarddiad (mathemateg)</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="Ewch i erthygl mewn iaith arall. Ar gael mewn 44 iaith" > <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-44" 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">44 iaith</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/Oorsprong_(wiskunde)" title="Oorsprong (wiskunde) - Affricaneg" lang="af" hreflang="af" data-title="Oorsprong (wiskunde)" data-language-autonym="Afrikaans" data-language-local-name="Affricaneg" 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/%D8%A3%D8%B5%D9%84_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="أصل (رياضيات) - Arabeg" lang="ar" hreflang="ar" data-title="أصل (رياضيات)" data-language-autonym="العربية" data-language-local-name="Arabeg" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Koordinat_ba%C5%9Flan%C4%9F%C4%B1c%C4%B1" title="Koordinat başlanğıcı - Aserbaijaneg" lang="az" hreflang="az" data-title="Koordinat başlanğıcı" data-language-autonym="Azərbaycanca" data-language-local-name="Aserbaijaneg" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%BE_%D0%BD%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%82%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0" title="Начало на координатната система - Bwlgareg" lang="bg" hreflang="bg" data-title="Начало на координатната система" data-language-autonym="Български" data-language-local-name="Bwlgareg" 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%AE%E0%A7%82%E0%A6%B2%E0%A6%AC%E0%A6%BF%E0%A6%A8%E0%A7%8D%E0%A6%A6%E0%A7%81_(%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4)" title="মূলবিন্দু (গণিত) - Bengaleg" lang="bn" hreflang="bn" data-title="মূলবিন্দু (গণিত)" data-language-autonym="বাংলা" data-language-local-name="Bengaleg" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Origo" title="Origo - Llydaweg" lang="br" hreflang="br" data-title="Origo" data-language-autonym="Brezhoneg" data-language-local-name="Llydaweg" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Origen" title="Origen - Catalaneg" lang="ca" hreflang="ca" data-title="Origen" data-language-autonym="Català" data-language-local-name="Catalaneg" 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%AE%D8%A7%DA%B5%DB%8C_%D8%A8%D9%86%DB%95%DA%95%DB%95%D8%AA_(%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9)" title="خاڵی بنەڕەت (ماتماتیک) - Cwrdeg Sorani" lang="ckb" hreflang="ckb" data-title="خاڵی بنەڕەت (ماتماتیک)" data-language-autonym="کوردی" data-language-local-name="Cwrdeg Sorani" 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/Po%C4%8D%C3%A1tek_sou%C5%99adnic" title="Počátek souřadnic - Tsieceg" lang="cs" hreflang="cs" data-title="Počátek souřadnic" data-language-autonym="Čeština" data-language-local-name="Tsieceg" 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_%D0%BF%D1%83%C3%A7%D0%BB%D0%B0%D0%BC%C4%83%D1%88%C4%95" title="Координатсен пуçламăшĕ - Tshwfasheg" lang="cv" hreflang="cv" data-title="Координатсен пуçламăшĕ" data-language-autonym="Чӑвашла" data-language-local-name="Tshwfasheg" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Origo" title="Origo - Daneg" lang="da" hreflang="da" data-title="Origo" data-language-autonym="Dansk" data-language-local-name="Daneg" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Koordinatenursprung" title="Koordinatenursprung - Almaeneg" lang="de" hreflang="de" data-title="Koordinatenursprung" data-language-autonym="Deutsch" data-language-local-name="Almaeneg" 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%91%CF%81%CF%87%CE%AE_%CF%84%CF%89%CE%BD_%CE%B1%CE%BE%CF%8C%CE%BD%CF%89%CE%BD_(%CE%BC%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AC)" title="Αρχή των αξόνων (μαθηματικά) - Groeg" lang="el" hreflang="el" data-title="Αρχή των αξόνων (μαθηματικά)" data-language-autonym="Ελληνικά" data-language-local-name="Groeg" 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/Origin_(mathematics)" title="Origin (mathematics) - Saesneg" lang="en" hreflang="en" data-title="Origin (mathematics)" data-language-autonym="English" data-language-local-name="Saesneg" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Origen_de_coordenadas" title="Origen de coordenadas - Sbaeneg" lang="es" hreflang="es" data-title="Origen de coordenadas" data-language-autonym="Español" data-language-local-name="Sbaeneg" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Jatorri_(geometria)" title="Jatorri (geometria) - Basgeg" lang="eu" hreflang="eu" data-title="Jatorri (geometria)" data-language-autonym="Euskara" data-language-local-name="Basgeg" 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%85%D8%A8%D8%AF%D8%A3_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA)" title="مبدأ (ریاضیات) - Perseg" lang="fa" hreflang="fa" data-title="مبدأ (ریاضیات)" data-language-autonym="فارسی" data-language-local-name="Perseg" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Origine_(math%C3%A9matiques)" title="Origine (mathématiques) - Ffrangeg" lang="fr" hreflang="fr" data-title="Origine (mathématiques)" data-language-autonym="Français" data-language-local-name="Ffrangeg" 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/Orixe_(matem%C3%A1ticas)" title="Orixe (matemáticas) - Galisieg" lang="gl" hreflang="gl" data-title="Orixe (matemáticas)" data-language-autonym="Galego" data-language-local-name="Galisieg" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he badge-Q70894304 mw-list-item" title=""><a href="https://he.wikipedia.org/wiki/%D7%A8%D7%90%D7%A9%D7%99%D7%AA_%D7%94%D7%A6%D7%99%D7%A8%D7%99%D7%9D" title="ראשית הצירים - Hebraeg" lang="he" hreflang="he" data-title="ראשית הצירים" data-language-autonym="עברית" data-language-local-name="Hebraeg" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ishodi%C5%A1te" title="Ishodište - Croateg" lang="hr" hreflang="hr" data-title="Ishodište" data-language-autonym="Hrvatski" data-language-local-name="Croateg" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Titik_nol" title="Titik nol - Indoneseg" lang="id" hreflang="id" data-title="Titik nol" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indoneseg" 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/Origino" title="Origino - Ido" lang="io" hreflang="io" data-title="Origino" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8E%9F%E7%82%B9_(%E6%95%B0%E5%AD%A6)" title="原点 (数学) - Japaneeg" lang="ja" hreflang="ja" data-title="原点 (数学)" data-language-autonym="日本語" data-language-local-name="Japaneeg" 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%9A%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82_%D0%B1%D0%B0%D1%81%D1%8B" title="Координат басы - Casacheg" lang="kk" hreflang="kk" data-title="Координат басы" data-language-autonym="Қазақша" data-language-local-name="Casacheg" 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%9B%90%EC%A0%90" title="원점 - Coreeg" lang="ko" hreflang="ko" data-title="원점" data-language-autonym="한국어" data-language-local-name="Coreeg" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%B5%D0%BD_%D0%BF%D0%BE%D1%87%D0%B5%D1%82%D0%BE%D0%BA" title="Координатен почеток - Macedoneg" lang="mk" hreflang="mk" data-title="Координатен почеток" data-language-autonym="Македонски" data-language-local-name="Macedoneg" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Asalan_(matematik)" title="Asalan (matematik) - Maleieg" lang="ms" hreflang="ms" data-title="Asalan (matematik)" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleieg" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Oorsprong_(wiskunde)" title="Oorsprong (wiskunde) - Iseldireg" lang="nl" hreflang="nl" data-title="Oorsprong (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="Iseldireg" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Origo" title="Origo - Norwyeg Nynorsk" lang="nn" hreflang="nn" data-title="Origo" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwyeg 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/Origo" title="Origo - Norwyeg Bokmål" lang="nb" hreflang="nb" data-title="Origo" data-language-autonym="Norsk bokmål" data-language-local-name="Norwyeg Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pocz%C4%85tek_(matematyka)" title="Początek (matematyka) - Pwyleg" lang="pl" hreflang="pl" data-title="Początek (matematyka)" data-language-autonym="Polski" data-language-local-name="Pwyleg" 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/Origem_de_coordenadas" title="Origem de coordenadas - Portiwgaleg" lang="pt" hreflang="pt" data-title="Origem de coordenadas" data-language-autonym="Português" data-language-local-name="Portiwgaleg" 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/Origine_(matematic%C4%83)" title="Origine (matematică) - Rwmaneg" lang="ro" hreflang="ro" data-title="Origine (matematică)" data-language-autonym="Română" data-language-local-name="Rwmaneg" 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%9D%D0%B0%D1%87%D0%B0%D0%BB%D0%BE_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82" title="Начало координат - Rwseg" lang="ru" hreflang="ru" data-title="Начало координат" data-language-autonym="Русский" data-language-local-name="Rwseg" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Koordinatno_izhodi%C5%A1%C4%8De" title="Koordinatno izhodišče - Slofeneg" lang="sl" hreflang="sl" data-title="Koordinatno izhodišče" data-language-autonym="Slovenščina" data-language-local-name="Slofeneg" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82%D0%BD%D0%B8_%D0%BF%D0%BE%D1%87%D0%B5%D1%82%D0%B0%D0%BA" title="Координатни почетак - Serbeg" lang="sr" hreflang="sr" data-title="Координатни почетак" data-language-autonym="Српски / srpski" data-language-local-name="Serbeg" 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/Origo" title="Origo - Swedeg" lang="sv" hreflang="sv" data-title="Origo" data-language-autonym="Svenska" data-language-local-name="Swedeg" 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%86%E0%AE%A4%E0%AE%BF_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="ஆதி (கணிதம்) - Tamileg" lang="ta" hreflang="ta" data-title="ஆதி (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="Tamileg" 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%88%E0%B8%B8%E0%B8%94%E0%B8%81%E0%B8%B3%E0%B9%80%E0%B8%99%E0%B8%B4%E0%B8%94" title="จุดกำเนิด - Thai" lang="th" hreflang="th" data-title="จุดกำเนิด" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/S%C4%B1f%C4%B1r_noktas%C4%B1" title="Sıfır noktası - Tyrceg" lang="tr" hreflang="tr" data-title="Sıfır noktası" data-language-autonym="Türkçe" data-language-local-name="Tyrceg" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D0%BE%D1%87%D0%B0%D1%82%D0%BE%D0%BA_%D0%BA%D0%BE%D0%BE%D1%80%D0%B4%D0%B8%D0%BD%D0%B0%D1%82" title="Початок координат - Wcreineg" lang="uk" hreflang="uk" data-title="Початок координат" data-language-autonym="Українська" data-language-local-name="Wcreineg" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8E%9F%E9%BB%9E" title="原點 - Tsieinëeg" lang="zh" hreflang="zh" data-title="原點" data-language-autonym="中文" data-language-local-name="Tsieinëeg" 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/%E5%8E%9F%E9%BB%9E" title="原點 - Cantoneeg" lang="yue" hreflang="yue" data-title="原點" data-language-autonym="粵語" data-language-local-name="Cantoneeg" 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/Q40735#sitelinks-wikipedia" title="Golygu dolenni rhyngwici" class="wbc-editpage">Golygu dolenni</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="Parthau"> <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/Tarddiad_(mathemateg)" title="Gweld y dudalen bwnc [c]" accesskey="c"><span>Erthygl</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Sgwrs:Tarddiad_(mathemateg)&action=edit&redlink=1" rel="discussion" class="new" title="Sgwrsio am y dudalen (dim tudalen ar gael) [t]" accesskey="t"><span>Sgwrs</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Newid amrywiad iaith" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Cymraeg</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Golygon"> <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/Tarddiad_(mathemateg)"><span>Darllen</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit" title="Golygu'r dudalen hon [v]" accesskey="v"><span>Golygu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit" title="Golygu cod ffynhonnell y dudalen hon [e]" accesskey="e"><span>Golygu cod</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=history" title="Fersiynau cynt o'r dudalen hon. 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vector-more-collapsible-item mw-list-item"><a href="/wiki/Tarddiad_(mathemateg)"><span>Darllen</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit" title="Golygu'r dudalen hon [v]" accesskey="v"><span>Golygu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit" title="Golygu cod ffynhonnell y dudalen hon [e]" accesskey="e"><span>Golygu cod</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=history"><span>Gweld hanes</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Cyffredinol </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Arbennig:WhatLinksHere/Tarddiad_(mathemateg)" title="Rhestr o bob tudalen sy'n cysylltu â hon [j]" accesskey="j"><span>Beth sy'n cysylltu yma</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Arbennig:RecentChangesLinked/Tarddiad_(mathemateg)" rel="nofollow" title="Newidiadau diweddar i dudalennau sydd yn cysylltu â hon [k]" accesskey="k"><span>Newidiadau perthnasol</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Arbennig:SpecialPages" title="Rhestr o'r holl dudalennau arbennig [q]" accesskey="q"><span>Tudalennau arbennig</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&oldid=9014049" title="Dolen barhaol i'r fersiwn hwn y dudalen hon"><span>Dolen barhaol</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=info" title="Mwy o wybodaeth am y dudalen hon"><span>Gwybodaeth am y dudalen</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Arbennig:CiteThisPage&page=Tarddiad_%28mathemateg%29&id=9014049&wpFormIdentifier=titleform" title="Gwybodaeth ar sut i gyfeirio at y dudalen hon"><span>Cyfeirio at y dudalen hon</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Arbennig:UrlShortener&url=https%3A%2F%2Fcy.wikipedia.org%2Fwiki%2FTarddiad_%28mathemateg%29"><span>Cael URL byr</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Arbennig:QrCode&url=https%3A%2F%2Fcy.wikipedia.org%2Fwiki%2FTarddiad_%28mathemateg%29"><span>Lawrlwytho cod QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Argraffu / allforio </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Arbennig:Book&bookcmd=book_creator&referer=Tarddiad+%28mathemateg%29"><span>Llunio llyfr</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Arbennig:DownloadAsPdf&page=Tarddiad_%28mathemateg%29&action=show-download-screen"><span>Lawrlwytho fel PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Tarddiad_(mathemateg)&printable=yes" title="Cynhyrchwch fersiwn o'r dudalen yn barod at ei hargraffu [p]" accesskey="p"><span>Fersiwn argraffu</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"> Mewn prosiectau eraill </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/Q40735" title="Cysylltu i eitem 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class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">symud i'r bar ochr</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">cuddio</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Oddi ar Wicipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="cy" dir="ltr"><figure typeof="mw:File/Frame"><a href="/wiki/Delwedd:Coordinate_with_Origin.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Coordinate_with_Origin.svg/212px-Coordinate_with_Origin.svg.png" decoding="async" width="212" height="212" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Coordinate_with_Origin.svg/318px-Coordinate_with_Origin.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Coordinate_with_Origin.svg/424px-Coordinate_with_Origin.svg.png 2x" data-file-width="212" data-file-height="212" /></a><figcaption>Tarddiad <a href="/wiki/System_gyfesurynnol_Cartesaidd" class="mw-redirect" title="System gyfesurynnol Cartesaidd">system gyfesurynnol Cartesaidd</a>, wedi'i ddangos gydag <i>O</i>.</figcaption></figure> <p>Mewn <a href="/wiki/Mathemateg" title="Mathemateg">mathemateg</a>, mae <b>tarddiad</b> <a href="/wiki/Geometreg_Ewclidaidd" class="mw-redirect" title="Geometreg Ewclidaidd">gofod Ewclidaidd</a> yn bwynt ac yn lleoliad arbennig, a ddynodir fel arfer gan y llythyren <i>O</i>, ac a ddefnyddir fel pwynt cyfeirio sefydlog ar gyfer <a href="/wiki/Geometreg" title="Geometreg">geometreg</a> y gofod o'i amgylch. </p><p>Mewn problemau ffisegol, mae'r dewis o darddiad yn aml yn fympwyol, sy'n golygu y bydd unrhyw ddewis yn rhoi yr un ateb yn y pen draw. Mae hyn yn caniatáu dewis pwynt tarddiad sy'n gwneud y fathemateg mor syml â phosib, yn aml trwy fanteisio ar ryw fath o gymesuredd geometrig. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="System_gyfesurynnol_Cartesaidd">System gyfesurynnol Cartesaidd</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit&section=1" title="Golygu'r adran: System gyfesurynnol Cartesaidd" class="mw-editsection-visualeditor"><span>golygu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit&section=1" title="Edit section's source code: System gyfesurynnol Cartesaidd"><span>golygu cod</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="margin-bottom:0.01em; padding: 0.01px; text-align: left; font-size: 100%;"> <dl><dd><span class="boilerplate seealso"><i>Prif: <a href="/wiki/System_gyfesurynnol_Cartesaidd" class="mw-redirect" title="System gyfesurynnol Cartesaidd">System gyfesurynnol Cartesaidd</a></i></span></dd></dl></div> <p>Mewn system gyfesurynnol Cartesaidd, y tarddiad yw'r pwynt lle mae <a href="/wiki/Echelin" class="mw-redirect" title="Echelin">echelinau</a>'r system yn croesi.<sup id="cite_ref-madsen_1-0" class="reference"><a href="#cite_note-madsen-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Mae'r tarddiad hwn yn rhannu'r ddwy echelin yn ddau hanner: yr isechelin positif a'r isechel negatif.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Yna gellir lleoli pwyntiau gan gyfeirio at y tarddiad trwy roi eu cyfesurynnau (mewn rhifau), h.y. tafluniad o'u lleoliad ar hyd pob echelin, naill ai yn y cyfeiriad positif neu'r negatif. Mae cyfesurynnau'r tarddiad bob amser yn <a href="/wiki/Sero" class="mw-redirect" title="Sero">sero</a>, er enghraifft (0,0) mewn <a href="/wiki/Gofod_dau_ddimensiwn" title="Gofod dau ddimensiwn">dau ddimensiwn</a>, a (0,0,0) mewn <a href="/wiki/Gofod_tri_dimensiwn" title="Gofod tri dimensiwn">tri dimensiwn</a>.<sup id="cite_ref-madsen_1-1" class="reference"><a href="#cite_note-madsen-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Systemau_cyfesurynnol_eraill">Systemau cyfesurynnol eraill</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit&section=2" title="Golygu'r adran: Systemau cyfesurynnol eraill" class="mw-editsection-visualeditor"><span>golygu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit&section=2" title="Edit section's source code: Systemau cyfesurynnol eraill"><span>golygu cod</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Mewn system gyfesurynnol pegynlinol (<i>polar coordinate system</i>), gellir galw'r tarddiad hefyd yn 'begwn'. Nid oes ganddo'i hun gyfesurynnau pegynliniol sydd wedi'u diffinio'n glir, oherwydd bod cyd-gysylltiadau pegynliniol unrhyw bwynt yn cynnwys yr <a href="/wiki/Ongl" title="Ongl">ongl</a> a wneir gan yr echelin-x positif a'r pelydr o'r tarddiad i'r pwynt, ac nid yw'r pelydryn hwn wedi'i ddiffinio'n glir ar gyfer y tarddiad ei hun.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Gellir cyfeirio darddiad y <a href="/wiki/Pl%C3%A2n" class="mw-redirect" title="Plân">plân cymhleth</a> fel y pwynt lle mae echelin real ac echelin ddychmygol yn croestorri. Mewn geiriau eraill, dyma'r rhif cymhleth sero.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Termau">Termau</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit&section=3" title="Golygu'r adran: Termau" class="mw-editsection-visualeditor"><span>golygu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit&section=3" title="Edit section's source code: Termau"><span>golygu cod</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>hafaliad pegynlinol - <i>polar equation</i></li></ul> <div class="mw-heading mw-heading2"><h2 id="Gweler_hefyd">Gweler hefyd</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit&section=4" title="Golygu'r adran: Gweler hefyd" class="mw-editsection-visualeditor"><span>golygu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit&section=4" title="Edit section's source code: Gweler hefyd"><span>golygu cod</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Geometreg_ddadansoddol" title="Geometreg ddadansoddol">Geometreg ddadansoddol</a></li> <li><a href="/wiki/Graff_llinell" title="Graff llinell">Graff llinell</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Cyfeiriadau">Cyfeiriadau</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Tarddiad_(mathemateg)&veaction=edit&section=5" title="Golygu'r adran: Cyfeiriadau" class="mw-editsection-visualeditor"><span>golygu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Tarddiad_(mathemateg)&action=edit&section=5" title="Edit section's source code: Cyfeiriadau"><span>golygu cod</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-madsen-1"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-madsen_1-0">1.0</a></sup> <sup><a href="#cite_ref-madsen_1-1">1.1</a></sup></span> <span class="reference-text"><span class="citation" id="CITEREFMadsen2001">Madsen, David A. (2001), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=N97zPAvogxoC&pg=PA120"><i>Engineering Drawing and Design</i></a>, Delmar drafting series, Thompson Learning, p. 120, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Arbennig:BookSources/9780766816343" title="Arbennig:BookSources/9780766816343">9780766816343</a><span class="printonly">, <a rel="nofollow" class="external free" href="https://books.google.com/books?id=N97zPAvogxoC&pg=PA120">https://books.google.com/books?id=N97zPAvogxoC&pg=PA120</a></span></span>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREFPontrjagin1984"><a href="/w/index.php?title=Lev_Pontryagin&action=edit&redlink=1" class="new" title="Lev Pontryagin (dim tudalen ar gael)">Pontrjagin, Lev S.</a> (1984), <i>Learning higher mathematics</i>, Springer series in Soviet mathematics, Springer-Verlag, p. 73, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Arbennig:BookSources/9783540123514" title="Arbennig:BookSources/9783540123514">9783540123514</a></span>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREFTanton2005">Tanton, James Stuart (2005), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=MfKKMSuthacC&pg=PA400"><i>Encyclopedia of Mathematics</i></a>, Infobase Publishing, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Arbennig:BookSources/9780816051243" title="Arbennig:BookSources/9780816051243">9780816051243</a><span class="printonly">, <a rel="nofollow" class="external free" href="https://books.google.com/books?id=MfKKMSuthacC&pg=PA400">https://books.google.com/books?id=MfKKMSuthacC&pg=PA400</a></span></span>.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREFGonzalez1991">Gonzalez, Mario (1991), <i>Classical Complex Analysis</i>, Chapman & Hall Pure and Applied Mathematics, CRC Press, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Arbennig:BookSources/9780824784157" title="Arbennig:BookSources/9780824784157">9780824784157</a></span>.</span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Wedi dod o "<a dir="ltr" href="https://cy.wikipedia.org/w/index.php?title=Tarddiad_(mathemateg)&oldid=9014049">https://cy.wikipedia.org/w/index.php?title=Tarddiad_(mathemateg)&oldid=9014049</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Arbennig:Categories" title="Arbennig:Categories">Categorïau</a>: <ul><li><a href="/wiki/Categori:Geometreg_ddadansoddol" title="Categori:Geometreg ddadansoddol">Geometreg ddadansoddol</a></li><li><a href="/wiki/Categori:Mathemateg_elfennol" title="Categori:Mathemateg elfennol">Mathemateg elfennol</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"> Golygwyd y dudalen hon ddiwethaf ar 27 Medi 2019, am 14:31.</li> <li id="footer-info-copyright">Mae'r testun ar gael o dan <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Creative Commons Attribution-ShareAlike License</a>; gall telerau ychwanegol fod yn berthnasol. 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