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Oud-Griekse wiskunde - Wikipedia

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Beschikbaar in 31 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-31" 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">31 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D9%84%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA_%D8%B9%D9%86%D8%AF_%D8%A7%D9%84%D8%A5%D8%BA%D8%B1%D9%8A%D9%82" title="الرياضيات عند الإغريق – Arabisch" lang="ar" hreflang="ar" data-title="الرياضيات عند الإغريق" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%95_%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গ্রিক গণিত – Bengaals" lang="bn" hreflang="bn" data-title="গ্রিক গণিত" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Matem%C3%A0tiques_de_l%27antiga_Gr%C3%A8cia" title="Matemàtiques de l&#039;antiga Grècia – Catalaans" lang="ca" hreflang="ca" data-title="Matemàtiques de l&#039;antiga Grècia" data-language-autonym="Català" data-language-local-name="Catalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Griechische_Mathematik" title="Griechische Mathematik – Duits" lang="de" hreflang="de" data-title="Griechische Mathematik" 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%95%CE%BB%CE%BB%CE%B7%CE%BD%CE%B9%CE%BA%CE%AC_%CE%BC%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AC" title="Ελληνικά μαθηματικά – Grieks" lang="el" hreflang="el" data-title="Ελληνικά μαθηματικά" 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/Greek_mathematics" title="Greek mathematics – Engels" lang="en" hreflang="en" data-title="Greek mathematics" data-language-autonym="English" data-language-local-name="Engels" 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/Matem%C3%A1tica_griega" title="Matemática griega – Spaans" lang="es" hreflang="es" data-title="Matemática griega" data-language-autonym="Español" data-language-local-name="Spaans" 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/Greziar_matematika" title="Greziar matematika – Baskisch" lang="eu" hreflang="eu" data-title="Greziar matematika" 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%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA_%DB%8C%D9%88%D9%86%D8%A7%D9%86%DB%8C" title="ریاضیات یونانی – Perzisch" lang="fa" hreflang="fa" data-title="ریاضیات یونانی" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Math%C3%A9matiques_de_la_Gr%C3%A8ce_antique" title="Mathématiques de la Grèce antique – Frans" lang="fr" hreflang="fr" data-title="Mathématiques de la Grèce antique" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94_%D7%91%D7%99%D7%95%D7%95%D7%9F_%D7%94%D7%A2%D7%AA%D7%99%D7%A7%D7%94" title="מתמטיקה ביוון העתיקה – Hebreeuws" lang="he" hreflang="he" data-title="מתמטיקה ביוון העתיקה" data-language-autonym="עברית" data-language-local-name="Hebreeuws" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/G%C3%B6r%C3%B6g_matematika" title="Görög matematika – Hongaars" lang="hu" hreflang="hu" data-title="Görög matematika" 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/%D5%84%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1%D5%B6_%D5%80%D5%AB%D5%B6_%D5%80%D5%B8%D6%82%D5%B6%D5%A1%D5%BD%D5%BF%D5%A1%D5%B6%D5%B8%D6%82%D5%B4" title="Մաթեմատիկան Հին Հունաստանում – Armeens" lang="hy" hreflang="hy" data-title="Մաթեմատիկան Հին Հունաստանում" 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/Matematika_Yunani" title="Matematika Yunani – Indonesisch" lang="id" hreflang="id" data-title="Matematika Yunani" 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-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Matematica_greco-ellenistica" title="Matematica greco-ellenistica – Italiaans" lang="it" hreflang="it" data-title="Matematica greco-ellenistica" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%95%D0%B6%D0%B5%D0%BB%D0%B3%D1%96_%D0%93%D1%80%D0%B5%D0%BA%D0%B8%D1%8F%D0%B4%D0%B0%D2%93%D1%8B_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Ежелгі Грекиядағы математика – Kazachs" lang="kk" hreflang="kk" data-title="Ежелгі Грекиядағы математика" 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/%EA%B7%B8%EB%A6%AC%EC%8A%A4_%EC%88%98%ED%95%99" title="그리스 수학 – Koreaans" lang="ko" hreflang="ko" data-title="그리스 수학" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Matematica_elinica" title="Matematica elinica – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Matematica elinica" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B5%8D%E0%B4%B0%E0%B5%80%E0%B4%95%E0%B5%8D%E0%B4%95%E0%B5%8D_%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%B6%E0%B4%BE%E0%B4%B8%E0%B5%8D%E0%B4%A4%E0%B5%8D%E0%B4%B0%E0%B4%82" title="ഗ്രീക്ക് ഗണിതശാസ്ത്രം – Malayalam" lang="ml" hreflang="ml" data-title="ഗ്രീക്ക് ഗണിതശാസ്ത്രം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Matematik_Yunani" title="Matematik Yunani – Maleis" lang="ms" hreflang="ms" data-title="Matematik Yunani" 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-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Gresk_matematikk" title="Gresk matematikk – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Gresk matematikk" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Matem%C3%A1tica_da_Gr%C3%A9cia_Antiga" title="Matemática da Grécia Antiga – Portugees" lang="pt" hreflang="pt" data-title="Matemática da Grécia Antiga" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0_%D0%B2_%D0%94%D1%80%D0%B5%D0%B2%D0%BD%D0%B5%D0%B9_%D0%93%D1%80%D0%B5%D1%86%D0%B8%D0%B8" title="Математика в Древней Греции – Russisch" lang="ru" hreflang="ru" data-title="Математика в Древней Греции" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Gr%C4%8Dka_matematika" title="Grčka matematika – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Grčka matematika" 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-si mw-list-item"><a href="https://si.wikipedia.org/wiki/Greek_mathematics" title="Greek mathematics – Singalees" lang="si" hreflang="si" data-title="Greek mathematics" data-language-autonym="සිංහල" data-language-local-name="Singalees" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Greek_mathematics" title="Greek mathematics – Simple English" lang="en-simple" hreflang="en-simple" data-title="Greek mathematics" 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-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D1%82%D0%B0%D1%80%D0%BE%D0%B3%D1%80%D1%87%D0%BA%D0%B0_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Старогрчка математика – Servisch" lang="sr" hreflang="sr" data-title="Старогрчка математика" 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-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Yunan_matemati%C4%9Fi" title="Yunan matematiği – Turks" lang="tr" hreflang="tr" data-title="Yunan matematiği" data-language-autonym="Türkçe" data-language-local-name="Turks" 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%94%D0%B0%D0%B2%D0%BD%D1%8C%D0%BE%D0%B3%D1%80%D0%B5%D1%86%D1%8C%D0%BA%D0%B0_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Давньогрецька математика – Oekraïens" lang="uk" hreflang="uk" data-title="Давньогрецька математика" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/To%C3%A1n_h%E1%BB%8Dc_Hy_L%E1%BA%A1p" title="Toán học Hy Lạp – Vietnamees" lang="vi" hreflang="vi" data-title="Toán học Hy Lạp" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8F%A4%E5%B8%8C%E8%85%8A%E6%95%B0%E5%AD%A6" title="古希腊数学 – Chinees" lang="zh" hreflang="zh" data-title="古希腊数学" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</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/Q58413#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</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="Naamruimten"> <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 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src="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Pythagoras_Euclid.svg/200px-Pythagoras_Euclid.svg.png" decoding="async" width="200" height="211" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Pythagoras_Euclid.svg/300px-Pythagoras_Euclid.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/41/Pythagoras_Euclid.svg/400px-Pythagoras_Euclid.svg.png 2x" data-file-width="398" data-file-height="420" /></a><figcaption>Illustratie bij het bewijs van <a href="/wiki/Euclides_van_Alexandri%C3%AB" title="Euclides van Alexandrië">Euclides</a> van de <a href="/wiki/Stelling_van_Pythagoras" title="Stelling van Pythagoras">stelling van Pythagoras</a>.</figcaption></figure> <p>De <b>oud-Griekse wiskunde</b> is de in de <a href="/wiki/Oudgrieks" title="Oudgrieks">Oudgriekse</a> taal geschreven <a href="/wiki/Wiskunde" title="Wiskunde">wiskunde</a>, zoals deze zich vanaf de 7e eeuw v.Chr. tot de 4e eeuw n.Chr. langs de oostelijke kusten van de <a href="/wiki/Middellandse_Zee" title="Middellandse Zee">Middellandse Zee</a> ontwikkelde. Griekse wiskundigen woonden in tal van steden om het hele oostelijke deel van de <a href="/wiki/Middellandse_Zee" title="Middellandse Zee">Middellandse Zee</a>, van het huidige zuiden van <a href="/wiki/Itali%C3%AB" title="Italië">Italië</a> en <a href="/wiki/Sicili%C3%AB" title="Sicilië">Sicilië</a> tot in <a href="/wiki/Noord-Afrika" title="Noord-Afrika">Noord-Afrika</a> naar het oosten tot <a href="/wiki/Anatoli%C3%AB" title="Anatolië">Anatolië</a>, het huidige <a href="/wiki/Turkije" title="Turkije">Turkije</a>. Zij werden door de <a href="/wiki/Oud-Griekse_cultuur" title="Oud-Griekse cultuur">oud-Griekse cultuur</a> en het <a href="/wiki/Oudgrieks" title="Oudgrieks">Oudgrieks</a> verenigd. De oud-Griekse wiskunde uit de periode na <a href="/wiki/Alexander_de_Grote" title="Alexander de Grote">Alexander de Grote</a> wordt ook wel <a href="/wiki/Hellenisme" title="Hellenisme">hellenistische</a> wiskunde genoemd. </p><p>Het woord <i>mathematica</i>, <a href="/wiki/Synoniem_(taalkunde)" title="Synoniem (taalkunde)">synoniem</a> voor wiskunde, is afgeleid van het Oudgriekse μάθημα, <i>mathema</i>, wat 'onderwerp van instructie' betekent,<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> dat weer van μᾰνθᾰ́νω afkomt, dat in ruime zin leren betekent. </p><p>De studie van de wiskunde als doel op zich en het gebruik van algemene wiskundige theorieën en <a href="/wiki/Bewijs_(wiskunde)" class="mw-redirect" title="Bewijs (wiskunde)">bewijzen</a> is het belangrijkste verschil tussen de oud-Griekse wiskunde en die van <a href="/wiki/Beschaving" title="Beschaving">beschavingen</a> van voor het <a href="/wiki/Oude_Griekenland" title="Oude Griekenland">oude Griekenland</a>. </p> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Voetnoten</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"><style data-mw-deduplicate="TemplateStyles:r67679320">.mw-parser-output .taalaanduiding{font-family:sans-serif;font-size:85%;cursor:help;color:var(--color-subtle,#555)}.mw-parser-output .taalaanduiding span{border-bottom:1px dotted var(--color-subtle,#555)}</style><span class="taalaanduiding" title="Taal: Engels">(<span>en</span>) </span> <span style="font-variant:small-caps;"><a href="/wiki/Thomas_Heath" title="Thomas Heath">TL Heath</a></span>. A Manual of Greek Mathematics, Een handleiding van de Griekse wiskunde, blz 5.</span> </li> </ol></div></div> </div> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐f6c7df9b8‐wdpfq Cached time: 20241102175308 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.046 seconds Real time usage: 0.146 seconds Preprocessor visited node count: 107/1000000 Post‐expand include size: 846/2097152 bytes Template argument size: 74/2097152 bytes Highest expansion depth: 8/100 Expensive parser function count: 0/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 918/5000000 bytes Lua time usage: 0.003/10.000 seconds Lua memory usage: 584298/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 34.800 1 Sjabloon:Appendix 100.00% 34.800 1 -total 91.58% 31.871 1 Sjabloon:References 32.57% 11.336 1 Sjabloon:En 21.92% 7.630 1 Sjabloon:Taalaanduiding 5.83% 2.029 1 Sjabloon:Aut --> <!-- Saved in parser cache with key nlwiki:pcache:idhash:2178415-0!canonical and timestamp 20241102175308 and revision id 66170987. 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