William Brouncker, 2nd Viscount Brouncker

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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">Toggle the table of contents</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">William Brouncker, 2nd Viscount Brouncker</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="Go to an article in another language. Available in 23 languages" > <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-23" 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">23 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Vilyam_Brounker_(riyaziyyat%C3%A7%C4%B1)" title="Vilyam Brounker (riyaziyyatçı) – Azerbaijani" lang="az" hreflang="az" data-title="Vilyam Brounker (riyaziyyatçı)" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%88%DB%8C%D9%84%DB%8C%D8%A7%D9%85_%D8%A8%D8%B1%D9%88%DA%A9%D9%86%D8%B1" title="ویلیام بروکنر – South Azerbaijani" lang="azb" hreflang="azb" data-title="ویلیام بروکنر" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Catalan" lang="ca" hreflang="ca" data-title="William Brouncker" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/William_Brouncker,_2._Viscount_Brouncker" title="William Brouncker, 2. Viscount Brouncker – German" lang="de" hreflang="de" data-title="William Brouncker, 2. Viscount Brouncker" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Spanish" lang="es" hreflang="es" data-title="William Brouncker" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – French" lang="fr" hreflang="fr" data-title="William Brouncker" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%9C2%EB%8C%80_%EB%B8%8C%EB%A1%B1%EC%BB%A4_%EC%9E%90%EC%9E%91_%EC%9C%8C%EB%A6%AC%EC%97%84_%EB%B8%8C%EB%A1%B1%EC%BB%A4" title="제2대 브롱커 자작 윌리엄 브롱커 – Korean" lang="ko" hreflang="ko" data-title="제2대 브롱커 자작 윌리엄 브롱커" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Italian" lang="it" hreflang="it" data-title="William Brouncker" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B5%E0%B2%BF%E0%B2%B2%E0%B2%BF%E0%B2%AF%E0%B2%AE%E0%B3%8D_%E0%B2%AC%E0%B3%8D%E0%B2%B0%E0%B3%8C%E0%B2%82%E0%B2%95%E0%B2%B0%E0%B3%8D" title="ವಿಲಿಯಮ್ ಬ್ರೌಂಕರ್ – Kannada" lang="kn" hreflang="kn" data-title="ವಿಲಿಯಮ್ ಬ್ರೌಂಕರ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Haitian Creole" lang="ht" hreflang="ht" data-title="William Brouncker" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%88%D9%84%D9%8A%D8%A7%D9%85_%D8%A8%D8%B1%D9%88%D9%86%D9%83%D8%B1_%D8%A7%D9%84%D9%81%D9%8A%D9%83%D9%88%D9%86%D8%AA_%D8%A7%D9%84%D8%AA%D8%A7%D9%86%D9%89_%D8%A8%D8%B1%D9%88%D9%86%D9%83%D8%B1" title="وليام برونكر الفيكونت التانى برونكر – Egyptian Arabic" lang="arz" hreflang="arz" data-title="وليام برونكر الفيكونت التانى برونكر" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Dutch" lang="nl" hreflang="nl" data-title="William Brouncker" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%A6%E3%82%A3%E3%83%AA%E3%82%A2%E3%83%A0%E3%83%BB%E3%83%96%E3%83%A9%E3%82%A6%E3%83%B3%E3%82%AB%E3%83%BC" title="ウィリアム・ブラウンカー – Japanese" lang="ja" hreflang="ja" data-title="ウィリアム・ブラウンカー" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/William_Brouncker,_2._vicomte_Brouncker" title="William Brouncker, 2. vicomte Brouncker – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="William Brouncker, 2. vicomte Brouncker" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/William_Brouncker,_2._Viscount_Brouncker" title="William Brouncker, 2. Viscount Brouncker – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="William Brouncker, 2. Viscount Brouncker" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Piedmontese" lang="pms" hreflang="pms" data-title="William Brouncker" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Portuguese" lang="pt" hreflang="pt" data-title="William Brouncker" data-language-autonym="Português" data-language-local-name="Portuguese" 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/William_Brouncker,_al_II-lea_Viconte_de_Brouncker" title="William Brouncker, al II-lea Viconte de Brouncker – Romanian" lang="ro" hreflang="ro" data-title="William Brouncker, al II-lea Viconte de Brouncker" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17559452 badge-recommendedarticle mw-list-item" title="recommended article"><a href="https://ru.wikipedia.org/wiki/%D0%91%D1%80%D0%B0%D1%83%D0%BD%D0%BA%D0%B5%D1%80,_%D0%A3%D0%B8%D0%BB%D1%8C%D1%8F%D0%BC,_2-%D0%B9_%D0%B2%D0%B8%D0%BA%D0%BE%D0%BD%D1%82_%D0%91%D1%80%D0%B0%D1%83%D0%BD%D0%BA%D0%B5%D1%80" title="Браункер, Уильям, 2-й виконт Браункер – Russian" lang="ru" hreflang="ru" data-title="Браункер, Уильям, 2-й виконт Браункер" data-language-autonym="Русский" data-language-local-name="Russian" 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/William_Brouncker" title="William Brouncker – Slovenian" lang="sl" hreflang="sl" data-title="William Brouncker" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Finnish" lang="fi" hreflang="fi" data-title="William Brouncker" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/William_Brouncker" title="William Brouncker – Swedish" lang="sv" hreflang="sv" data-title="William Brouncker" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D1%96%D0%BB%D1%8C%D1%8F%D0%BC_%D0%91%D1%80%D0%B0%D1%83%D0%BD%D0%BA%D0%B5%D1%80" title="Вільям Браункер – Ukrainian" lang="uk" hreflang="uk" data-title="Вільям Браункер" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</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/Q451693#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</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="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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<div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</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="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Anglo-Irish peer and mathematician (1620–1684)</div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki 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.mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size: 100%;"><div class="honorific-prefix" style="font-weight: normal;"><a href="/wiki/The_Right_Honourable" title="The Right Honourable">The Right Honourable</a></div><div class="fn" style="font-size:125%;">The Viscount Brouncker</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Portrait_of_William_Brouncker,_2nd_Viscount_Brouncker.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg/220px-Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg" decoding="async" width="220" height="272" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg/330px-Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg/440px-Portrait_of_William_Brouncker%2C_2nd_Viscount_Brouncker.jpg 2x" data-file-width="648" data-file-height="800" /></a></span></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th colspan="2" class="infobox-header" style="color: #202122; background:lavender;line-height:normal;padding:0.2em;"><a href="/wiki/List_of_presidents_of_the_Royal_Society" title="List of presidents of the Royal Society">President of the Royal Society</a></th></tr><tr><td colspan="2" class="infobox-full-data" style="border-bottom:none"><span class="nowrap"><b>In office</b></span><br />1662–1677</td><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><span class="nowrap">Preceded by</span></th><td class="infobox-data"><i>Office established</i></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><span class="nowrap">Succeeded by</span></th><td class="infobox-data"><a href="/wiki/Joseph_Williamson_(English_politician)" title="Joseph Williamson (English politician)">Joseph Williamson</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th colspan="2" class="infobox-header" style="color: #202122; background:lavender">Personal details</th></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 1620</span><br /><a href="/wiki/Castlelyons" title="Castlelyons">Castlelyons</a>, Ireland</td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">5 April 1684<span style="display:none">(1684-04-05)</span> (aged 64)<br /><a href="/wiki/Westminster" title="Westminster">Westminster</a>, London</td></tr><tr><th scope="row" class="infobox-label">Residence</th><td class="infobox-data">England</td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Oxford" title="University of Oxford">University of Oxford</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Brouncker%27s_formula" class="mw-redirect" title="Brouncker's formula">Brouncker's formula</a>, leadership of <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematician" title="Mathematician">Mathematician</a>, <a href="/wiki/Civil_servant" class="mw-redirect" title="Civil servant">civil servant</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/w/index.php?title=Saint_Catherine%27s_Hospital&action=edit&redlink=1" class="new" title="Saint Catherine's Hospital (page does not exist)">Saint Catherine's Hospital</a></td></tr><tr><th scope="row" class="infobox-label">Academic advisors</th><td class="infobox-data"><a href="/wiki/John_Wallis" title="John Wallis">John Wallis</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><td colspan="2" class="infobox-below" style="border-top: 1px solid right;"><div></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg/220px-Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg/330px-Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg/440px-Royal_Society_-_Council_Minutes_of_the_Royal_Society_6.jpg 2x" data-file-width="5168" data-file-height="3445" /></a><figcaption>Brouncker's signature as president, signing off the 1667 accounts of the <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a>, from the minutes book</figcaption></figure> <p><b>William Brouncker, 2nd Viscount Brouncker</b> <a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">FRS</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 1620</span> – 5 April 1684) was an Anglo-Irish peer and mathematician who served as the <a href="/wiki/List_of_presidents_of_the_Royal_Society" title="List of presidents of the Royal Society">president of the Royal Society</a> from 1662 to 1677. Best known for introducing Brouncker's formula, he also worked as a <a href="/wiki/Civil_servant" class="mw-redirect" title="Civil servant">civil servant</a>, serving as a <a href="/wiki/Commissioner" title="Commissioner">commissioner</a> in the <a href="/wiki/Royal_Navy" title="Royal Navy">Royal Navy</a>. Brouncker was a friend and colleague of <a href="/wiki/Samuel_Pepys" title="Samuel Pepys">Samuel Pepys</a>, and features prominently in the <a href="/wiki/Samuel_Pepys#Diary" title="Samuel Pepys">Pepys' diary</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Brouncker was born <abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 1620</span> in <a href="/wiki/Castlelyons" title="Castlelyons">Castlelyons</a>, <a href="/wiki/County_Cork" title="County Cork">County Cork</a>, the elder son of <a href="/wiki/William_Brouncker,_1st_Viscount_Brouncker" class="mw-redirect" title="William Brouncker, 1st Viscount Brouncker">William Brouncker (1585–1649)</a>, 1st <a href="/wiki/Viscount_Brouncker" title="Viscount Brouncker">Viscount Brouncker</a> and Winifred, daughter of Sir William Leigh of Newnham. His family came originally from <a href="/wiki/Melksham" title="Melksham">Melksham</a> in <a href="/wiki/Wiltshire" title="Wiltshire">Wiltshire</a>. His grandfather Sir <a href="/wiki/Henry_Brouncker_(died_1607)" title="Henry Brouncker (died 1607)">Henry Brouncker (died 1607)</a> had been <a href="/wiki/Lord_President_of_Munster" title="Lord President of Munster">Lord President of Munster</a> 1603–1607, and settled his family in Ireland. His father was created a <a href="/wiki/Viscount" title="Viscount">viscount</a> in the <a href="/wiki/Peerage_of_Ireland" title="Peerage of Ireland">Peerage of Ireland</a> in 1645 for his services to the Crown. Although the first viscount had fought for the Crown in the Anglo-Scots war of 1639, malicious gossip said that he paid the then enormous sum of £1200 for the title and was almost ruined as a result. He died only a few months afterwards. </p><p>William obtained a <a href="/wiki/Doctor_of_Medicine" title="Doctor of Medicine">DM</a> at the <a href="/wiki/University_of_Oxford" title="University of Oxford">University of Oxford</a> in 1647. Until 1660 he played no part in public life: being a staunch Royalist, he felt it best to live quietly and devote himself to his mathematical studies. He was one of the founders and the first <a href="/wiki/President_of_the_Royal_Society" class="mw-redirect" title="President of the Royal Society">president of the Royal Society</a>. In 1662, he became <a href="/wiki/Chancellor" title="Chancellor">chancellor</a> to <a href="/wiki/Catherine_of_Braganza" title="Catherine of Braganza">Queen Catherine</a>, then head of the <a href="/w/index.php?title=Saint_Catherine%27s_Hospital&action=edit&redlink=1" class="new" title="Saint Catherine's Hospital (page does not exist)">Saint Catherine's Hospital</a>. He was appointed one of the commissioners of the <a href="/wiki/Royal_Navy" title="Royal Navy">Royal Navy</a> in 1664, and his career thereafter can be traced in the <i><a href="/wiki/Diary_of_Samuel_Pepys" class="mw-redirect" title="Diary of Samuel Pepys">Diary of Samuel Pepys</a></i>; despite their frequent disagreements, <a href="/wiki/Samuel_Pepys" title="Samuel Pepys">Samuel Pepys</a> on the whole respected Brouncker more than most of his other colleagues, writing in 1668 that "in truth he is the best of them". </p><p>Although his attendance at the Royal Society had become infrequent, and he had quarrelled with some of his fellow members, he was nonetheless greatly displeased to be deprived of the presidency in 1677. He was commissioner for executing the office of <a href="/wiki/Lord_High_Admiral_of_England" class="mw-redirect" title="Lord High Admiral of England">Lord High Admiral of England</a> from 1679.<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-heading3"><h3 id="Abigail_Williams">Abigail Williams</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=2" title="Edit section: Abigail Williams"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Brouncker never married, but lived for many years with the <a href="/wiki/Actress" class="mw-redirect" title="Actress">actress</a> Abigail Williams (much to Pepys' disgust) and left most of his property to her. She was the daughter of Sir Henry Clere (died 1622), first and last of the <a href="/wiki/Clere_Baronets" class="mw-redirect" title="Clere Baronets">Clere Baronets</a>, and the estranged wife of John Williams, otherwise Cromwell, second son of <a href="/wiki/Oliver_Cromwell_(died_1655)" class="mw-redirect" title="Oliver Cromwell (died 1655)">Sir Oliver Cromwell</a>, and first cousin to the renowned <a href="/wiki/Oliver_Cromwell" title="Oliver Cromwell">Oliver Cromwell</a>. She and John had a son and a daughter. The fire of 1673 which destroyed the Royal Navy Office started in her private closet: this is unlikely to have improved her relations with <a href="/wiki/Samuel_Pepys" title="Samuel Pepys">Samuel Pepys</a>, whose private apartments were also destroyed in the blaze. </p><p>On Brouncker's death in 1684, his title passed to his brother <a href="/wiki/Henry_Brouncker,_3rd_Viscount_Brouncker" title="Henry Brouncker, 3rd Viscount Brouncker">Henry</a>, one of the most detested men of the era. William left him almost nothing in his will "for reasons I think not fit to mention". </p> <div class="mw-heading mw-heading2"><h2 id="Mathematical_works">Mathematical works</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=3" title="Edit section: Mathematical works"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>His mathematical work concerned in particular the calculations of the lengths of the <a href="/wiki/Parabola" title="Parabola">parabola</a> and <a href="/wiki/Cycloid" title="Cycloid">cycloid</a>, and the <a href="/wiki/Quadrature_(mathematics)" class="mw-redirect" title="Quadrature (mathematics)">quadrature</a> of the <a href="/wiki/Hyperbola" title="Hyperbola">hyperbola</a>,<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> which requires approximation of the <a href="/wiki/Natural_logarithm" title="Natural logarithm">natural logarithm</a> function by <a href="/wiki/Infinite_series" class="mw-redirect" title="Infinite series">infinite series</a>.<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> He was the first European to solve what is now known as <a href="/wiki/Pell%27s_equation" title="Pell's equation">Pell's equation</a>. He was the first in England to take interest in <a href="/wiki/Generalized_continued_fraction" class="mw-redirect" title="Generalized continued fraction">generalized continued fractions</a> and, following the work of <a href="/wiki/John_Wallis" title="John Wallis">John Wallis</a>, he provided development in the generalized continued fraction of <a href="/wiki/Pi" title="Pi">pi</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Brouncker's_formula"><span id="Brouncker.27s_formula"></span>Brouncker's formula</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=4" title="Edit section: Brouncker's formula"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>This formula provides a development of π/4 in a generalized continued fraction: </p> <dl><dd><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 {\frac {\pi }{4}}={\cfrac {1}{1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>4</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>5</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>7</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>9</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mo>⋱</mo> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\pi }{4}}={\cfrac {1}{1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1ecc4d758b2d00a0376a92ab8bbc3b62e48f2b8b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -22.671ex; width:37.279ex; height:26.843ex;" alt="{\displaystyle {\frac {\pi }{4}}={\cfrac {1}{1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}}}"></span></dd></dl> <p>The convergents are related to the <a href="/wiki/Leibniz_formula_for_pi" class="mw-redirect" title="Leibniz formula for pi">Leibniz formula for pi</a>: for instance </p> <dl><dd><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 {\frac {1}{1+{\frac {1^{2}}{2}}}}={\frac {2}{3}}=1-{\frac {1}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{1+{\frac {1^{2}}{2}}}}={\frac {2}{3}}=1-{\frac {1}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/08cc41b4f09766e3b13b11702543c932c128bd7a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.838ex; width:21.526ex; height:7.176ex;" alt="{\displaystyle {\frac {1}{1+{\frac {1^{2}}{2}}}}={\frac {2}{3}}=1-{\frac {1}{3}}}"></span></dd></dl> <p>and </p> <dl><dd><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 {\frac {1}{1+{\frac {1^{2}}{2+{\frac {3^{2}}{2}}}}}}={\frac {13}{15}}=1-{\frac {1}{3}}+{\frac {1}{5}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> </mrow> </mfrac> </mrow> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>13</mn> <mn>15</mn> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>5</mn> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{1+{\frac {1^{2}}{2+{\frac {3^{2}}{2}}}}}}={\frac {13}{15}}=1-{\frac {1}{3}}+{\frac {1}{5}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d79560747c29ad08904c01b7fa91b6e60140d7fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.838ex; width:30.925ex; height:9.176ex;" alt="{\displaystyle {\frac {1}{1+{\frac {1^{2}}{2+{\frac {3^{2}}{2}}}}}}={\frac {13}{15}}=1-{\frac {1}{3}}+{\frac {1}{5}}.}"></span></dd></dl> <p>Because of its slow convergence, Brouncker's formula is not useful for practical computations of π. </p><p>Brouncker's formula can also be expressed as<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> <dl><dd><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 {\frac {4}{\pi }}=1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mi>π</mi> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>5</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>7</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mn>9</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> <mo>+</mo> <mo>⋱</mo> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {4}{\pi }}=1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0e61f2445a9211215989788f23c3b351bd7707d1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -19.005ex; width:36.443ex; height:23.176ex;" alt="{\displaystyle {\frac {4}{\pi }}=1+{\cfrac {1^{2}}{2+{\cfrac {3^{2}}{2+{\cfrac {5^{2}}{2+{\cfrac {7^{2}}{2+{\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}"></span></dd></dl> <p>See <a href="/wiki/Euler%27s_continued_fraction_formula#A_continued_fraction_for_π" title="Euler's continued fraction formula">Euler's continued fraction formula</a>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=5" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_presidents_of_the_Royal_Society" title="List of presidents of the Royal Society">List of presidents of the Royal Society</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFGazette1485" class="citation magazine cs1"><a rel="nofollow" class="external text" href="https://www.thegazette.co.uk/London/issue/1485/page/2">"No. 1485"</a>. <i><a href="/wiki/The_London_Gazette" title="The London Gazette">The London Gazette</a></i>. 9 February 1679. p. 2.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+London+Gazette&rft.atitle=No.+1485&rft.pages=2&rft.date=1679-02-09&rft_id=https%3A%2F%2Fwww.thegazette.co.uk%2FLondon%2Fissue%2F1485%2Fpage%2F2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AWilliam+Brouncker%2C+2nd+Viscount+Brouncker" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">W. Brouncker (1667) <a rel="nofollow" class="external text" href="http://www.biodiversityheritagelibrary.org/item/75194#page/267/mode/1up">The Squaring of the Hyperbola</a>, <a href="/wiki/Philosophical_Transactions_of_the_Royal_Society_of_London" class="mw-redirect" title="Philosophical Transactions of the Royal Society of London">Philosophical Transactions of the Royal Society of London</a>, abridged edition 1809, v. i, pp 233–6, link form <a href="/wiki/Biodiversity_Heritage_Library" title="Biodiversity Heritage Library">Biodiversity Heritage Library</a></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a href="/wiki/Julian_Coolidge" title="Julian Coolidge">Julian Coolidge</a> <i>Mathematics of Great Amateurs</i>, chapter 11, pp. 136–46</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">John Wallis, <i>Arithmetica Infinitorum</i>, ... (Oxford, England: Leon Lichfield, 1656), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Z5w_AAAAcAAJ&pg=PA182">page 182</a>. Brouncker expressed, as a continued fraction, the ratio of the area of a circle to the area of the circumscribed square (i.e., 4/<i>π</i>). The continued fraction appears at the top of page 182 (roughly) as: ☐ = 1 1/2 9/2 25/2 49/2 81/2 &c , where the square denotes the ratio that is sought. (Note: On the preceding page, Wallis names Brouncker as: "Dom. Guliel. Vicecon, & Barone <i>Brouncher</i>" (Lord William Viscount and Baron Brouncker).)</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&action=edit&section=7" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFO'ConnorRobertson" class="citation cs2">O'Connor, John J.; <a href="/wiki/Edmund_F._Robertson" title="Edmund F. Robertson">Robertson, Edmund F.</a>, <a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Brouncker.html">"William Brouncker, 2nd Viscount Brouncker"</a>, <i><a href="/wiki/MacTutor_History_of_Mathematics_Archive" title="MacTutor History of Mathematics Archive">MacTutor History of Mathematics Archive</a></i>, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=William+Brouncker%2C+2nd+Viscount+Brouncker&rft.btitle=MacTutor+History+of+Mathematics+Archive&rft.pub=University+of+St+Andrews&rft.aulast=O%27Connor&rft.aufirst=John+J.&rft.au=Robertson%2C+Edmund+F.&rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FBrouncker.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AWilliam+Brouncker%2C+2nd+Viscount+Brouncker" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation encyclopaedia cs1"><span class="cs1-ws-icon" title="s:Dictionary of National Biography, 1885-1900/Brouncker, William"><a class="external text" href="https://en.wikisource.org/wiki/Dictionary_of_National_Biography,_1885-1900/Brouncker,_William">"Brouncker, William" </a></span>. <i><a href="/wiki/Dictionary_of_National_Biography" title="Dictionary of National Biography">Dictionary of National Biography</a></i>. London: Smith, Elder & Co. 1885–1900.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Brouncker%2C+William&rft.btitle=Dictionary+of+National+Biography&rft.place=London&rft.pub=Smith%2C+Elder+%26+Co&rft.date=1885%2F1900&rfr_id=info%3Asid%2Fen.wikipedia.org%3AWilliam+Brouncker%2C+2nd+Viscount+Brouncker" class="Z3988"></span></li></ul> <table class="wikitable succession-box noprint" style="margin:0.5em auto; font-size:small;clear:both;"> <tbody><tr> <th colspan="3" style="border-top: 5px solid #ACE777;"><a href="/wiki/Peerage_of_Ireland" title="Peerage of Ireland">Peerage of Ireland</a> </th></tr> <tr style="text-align:center;"> <td style="width:30%;" rowspan="1">Preceded by<div style="font-weight: bold"><a href="/wiki/William_Brouncker,_1st_Viscount_Brouncker" class="mw-redirect" title="William Brouncker, 1st Viscount Brouncker">William Brouncker</a></div> </td> <td style="width: 40%; text-align: center;" rowspan="1"><b> <a href="/wiki/Viscount_Brouncker" title="Viscount Brouncker">Viscount Brouncker</a> </b><br />1645–1684 </td> <td style="width: 30%; text-align: center;" rowspan="1">Succeeded by<div style="font-weight: bold"><a href="/wiki/Henry_Brouncker,_3rd_Viscount_Brouncker" title="Henry Brouncker, 3rd Viscount Brouncker">Henry Brouncker</a></div> </td></tr> <tr> <th colspan="3" style="border-top: 5px solid lightgreen">Professional and academic associations </th></tr> <tr> <td style="width: 30%; text-align: center;" rowspan="1"><b>First</b> </td> <td style="width: 40%; text-align: center;" rowspan="1"><b>1st President of the <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a> </b><br />1662–1677 </td> <td style="width: 30%; text-align: center;" rowspan="1">Succeeded by<div style="font-weight: bold"><a href="/wiki/Joseph_Williamson_(English_politician)" title="Joseph Williamson (English politician)">Joseph Williamson</a></div> </td></tr> </tbody></table> <div 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presidents of the Royal Society">Presidents</a> of the <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">17th century</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a class="mw-selflink selflink">Viscount Brouncker</a> (1662)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_Williamson_(English_politician)" title="Joseph Williamson (English politician)">Joseph Williamson</a> (1677)</span></li> <li><span class="nowrap"><a href="/wiki/Christopher_Wren" title="Christopher Wren">Christopher Wren</a> (1680)</span></li> <li><span class="nowrap"><a href="/wiki/Sir_John_Hoskyns,_2nd_Baronet" title="Sir John Hoskyns, 2nd Baronet">John Hoskyns</a> (1682)</span></li> <li><span class="nowrap"><a href="/wiki/Cyril_Wyche" title="Cyril Wyche">Cyril Wyche</a> (1683)</span></li> <li><span class="nowrap"><a href="/wiki/Samuel_Pepys" title="Samuel Pepys">Samuel Pepys</a> (1684)</span></li> <li><span class="nowrap"><a href="/wiki/John_Vaughan,_3rd_Earl_of_Carbery" title="John Vaughan, 3rd Earl of Carbery">Earl of Carbery</a> (1686)</span></li> <li><span class="nowrap"><a href="/wiki/Thomas_Herbert,_8th_Earl_of_Pembroke" title="Thomas Herbert, 8th Earl of Pembroke">Earl of Pembroke</a> (1689)</span></li> <li><span class="nowrap"><a href="/wiki/Sir_Robert_Southwell_(diplomat)" class="mw-redirect" title="Sir Robert Southwell (diplomat)">Robert Southwell</a> (1690)</span></li> <li><span class="nowrap"><a href="/wiki/Charles_Montagu,_1st_Earl_of_Halifax" title="Charles Montagu, 1st Earl of Halifax">Charles Montagu</a> (1695)</span></li> <li><span class="nowrap"><a href="/wiki/John_Somers,_1st_Baron_Somers" title="John Somers, 1st Baron Somers">Lord Somers</a> (1698)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">18th century</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a> (1703)</span></li> <li><span class="nowrap"><a href="/wiki/Hans_Sloane" title="Hans Sloane">Hans Sloane</a> (1727)</span></li> <li><span class="nowrap"><a href="/wiki/Martin_Folkes" title="Martin Folkes">Martin Folkes</a> (1741)</span></li> <li><span class="nowrap"><a href="/wiki/George_Parker,_2nd_Earl_of_Macclesfield" title="George Parker, 2nd Earl of Macclesfield">Earl of Macclesfield</a> (1752)</span></li> <li><span class="nowrap"><a href="/wiki/James_Douglas,_14th_Earl_of_Morton" title="James Douglas, 14th Earl of Morton">Earl of Morton</a> (1764)</span></li> <li><span class="nowrap"><a href="/wiki/James_Burrow" title="James Burrow">James Burrow</a> (1768)</span></li> <li><span class="nowrap"><a href="/wiki/James_West_(antiquary)" title="James West (antiquary)">James West</a> (1768)</span></li> <li><span class="nowrap"><a href="/wiki/James_Burrow" title="James Burrow">James Burrow</a> (1772)</span></li> <li><span class="nowrap"><a href="/wiki/John_Pringle_(physician)" class="mw-redirect" title="John Pringle (physician)">John Pringle</a> (1772)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_Banks" title="Joseph Banks">Joseph Banks</a> (1778)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">19th century</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/William_Hyde_Wollaston" title="William Hyde Wollaston">William Hyde Wollaston</a> (1820)</span></li> <li><span class="nowrap"><a href="/wiki/Humphry_Davy" title="Humphry Davy">Humphry Davy</a> (1820)</span></li> <li><span class="nowrap"><a href="/wiki/Davies_Gilbert" title="Davies Gilbert">Davies Gilbert</a> (1827)</span></li> <li><span class="nowrap"><a href="/wiki/Prince_Augustus_Frederick,_Duke_of_Sussex" title="Prince Augustus Frederick, Duke of Sussex">Duke of Sussex</a> (1830)</span></li> <li><span class="nowrap"><a href="/wiki/Spencer_Compton,_2nd_Marquess_of_Northampton" title="Spencer Compton, 2nd Marquess of Northampton">Marquess of Northampton</a> (1838)</span></li> <li><span class="nowrap"><a href="/wiki/William_Parsons,_3rd_Earl_of_Rosse" title="William Parsons, 3rd Earl of Rosse">Earl of Rosse</a> (1848)</span></li> <li><span class="nowrap"><a href="/wiki/John_Wrottesley,_2nd_Baron_Wrottesley" title="John Wrottesley, 2nd Baron Wrottesley">Lord Wrottesley</a> (1854)</span></li> <li><span class="nowrap"><a href="/wiki/Sir_Benjamin_Collins_Brodie,_1st_Baronet" title="Sir Benjamin Collins Brodie, 1st Baronet">Benjamin Collins Brodie</a> (1858)</span></li> <li><span class="nowrap"><a href="/wiki/Edward_Sabine" title="Edward Sabine">Edward Sabine</a> (1861)</span></li> <li><span class="nowrap"><a href="/wiki/George_Biddell_Airy" title="George Biddell Airy">George Biddell Airy</a> (1871)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_Dalton_Hooker" title="Joseph Dalton Hooker">Joseph Dalton Hooker</a> (1873)</span></li> <li><span class="nowrap"><a href="/wiki/William_Spottiswoode" title="William Spottiswoode">William Spottiswoode</a> (1878)</span></li> <li><span class="nowrap"><a href="/wiki/Thomas_Henry_Huxley" title="Thomas Henry Huxley">Thomas Henry Huxley</a> (1883)</span></li> <li><span class="nowrap"><a href="/wiki/Sir_George_Stokes,_1st_Baronet" title="Sir George Stokes, 1st Baronet">George Gabriel Stokes</a> (1885)</span></li> <li><span class="nowrap"><a href="/wiki/Lord_Kelvin" title="Lord Kelvin">Lord Kelvin</a> (1890)</span></li> <li><span class="nowrap"><a href="/wiki/Joseph_Lister" title="Joseph Lister">Joseph Lister</a> (1895)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">20th century</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/William_Huggins" title="William Huggins">William Huggins</a> (1900)</span></li> <li><span class="nowrap"><a href="/wiki/John_William_Strutt,_3rd_Baron_Rayleigh" title="John William Strutt, 3rd Baron Rayleigh">Lord Rayleigh</a> (1905)</span></li> <li><span class="nowrap"><a href="/wiki/Archibald_Geikie" title="Archibald Geikie">Archibald Geikie</a> (1908)</span></li> <li><span class="nowrap"><a href="/wiki/William_Crookes" title="William Crookes">William Crookes</a> (1913)</span></li> <li><span class="nowrap"><a href="/wiki/J._J._Thomson" title="J. J. Thomson">J. J. Thomson</a> (1915)</span></li> <li><span class="nowrap"><a href="/wiki/Charles_Scott_Sherrington" title="Charles Scott Sherrington">Charles Scott Sherrington</a> (1920)</span></li> <li><span class="nowrap"><a href="/wiki/Ernest_Rutherford" title="Ernest Rutherford">Ernest Rutherford</a> (1925)</span></li> <li><span class="nowrap"><a href="/wiki/Frederick_Gowland_Hopkins" title="Frederick Gowland Hopkins">Frederick Gowland Hopkins</a> (1930)</span></li> <li><span class="nowrap"><a href="/wiki/William_Henry_Bragg" title="William Henry Bragg">William Henry Bragg</a> (1935)</span></li> <li><span class="nowrap"><a href="/wiki/Henry_Hallett_Dale" title="Henry Hallett Dale">Henry Hallett Dale</a> (1940)</span></li> <li><span class="nowrap"><a href="/wiki/Robert_Robinson_(organic_chemist)" class="mw-redirect" title="Robert Robinson (organic chemist)">Robert Robinson</a> (1945)</span></li> <li><span class="nowrap"><a href="/wiki/Edgar_Adrian,_1st_Baron_Adrian" class="mw-redirect" title="Edgar Adrian, 1st Baron Adrian">Lord Adrian</a> (1950)</span></li> <li><span class="nowrap"><a href="/wiki/Cyril_Norman_Hinshelwood" class="mw-redirect" title="Cyril Norman Hinshelwood">Cyril Norman Hinshelwood</a> (1955)</span></li> <li><span class="nowrap"><a href="/wiki/Howard_Florey" title="Howard Florey">Howard Florey</a> (1960)</span></li> <li><span class="nowrap"><a href="/wiki/Patrick_Blackett" title="Patrick Blackett">Patrick Blackett</a> (1965)</span></li> <li><span class="nowrap"><a href="/wiki/Alan_Lloyd_Hodgkin" class="mw-redirect" title="Alan Lloyd Hodgkin">Alan Lloyd Hodgkin</a> (1970)</span></li> <li><span class="nowrap"><a href="/wiki/Alexander_R._Todd" class="mw-redirect" title="Alexander R. Todd">Lord Todd</a> (1975)</span></li> <li><span class="nowrap"><a href="/wiki/Andrew_Huxley" title="Andrew Huxley">Andrew Huxley</a> (1980)</span></li> <li><span class="nowrap"><a href="/wiki/George_Porter" title="George Porter">George Porter</a> (1985)</span></li> <li><span class="nowrap"><a href="/wiki/Michael_Atiyah" title="Michael Atiyah">Sir Michael Atiyah</a> (1990)</span></li> <li><span class="nowrap"><a href="/wiki/Aaron_Klug" title="Aaron Klug">Sir Aaron Klug</a> (1995)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">21st century</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="nowrap"><a href="/wiki/Robert_May,_Baron_May_of_Oxford" title="Robert May, Baron May of Oxford">Lord May</a> (2000)</span></li> <li><span class="nowrap"><a href="/wiki/Martin_Rees,_Baron_Rees_of_Ludlow" class="mw-redirect" title="Martin Rees, Baron Rees of Ludlow">Lord Rees</a> (2005)</span></li> <li><span class="nowrap"><a href="/wiki/Paul_Nurse" title="Paul Nurse">Sir Paul Nurse</a> (2010)</span></li> <li><span class="nowrap"><a href="/wiki/Venki_Ramakrishnan" title="Venki Ramakrishnan">Venki Ramakrishnan</a> (2015)</span></li> <li><span class="nowrap"><a href="/wiki/Adrian_Smith_(statistician)" title="Adrian Smith (statistician)">Adrian Smith</a> (2020)</span></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style></div><div role="navigation" class="navbox authority-control" 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href="https://viaf.org/viaf/77098447">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/1809845/">FAST</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJqKb3W4hx8Hmt4TF4YByd">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/117634794">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n85115999">United States</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Brouncker, William <1620-1684>"><a rel="nofollow" class="external text" href="https://opac.sbn.it/nome/BVEV105891">Italy</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://nla.gov.au/anbd.aut-an35713485">Australia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p070327238">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.kbr.be/LIBRARY/doc/AUTHORITY/14181729">Belgium</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=170243">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:brouncker.william">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/679520">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://trove.nla.gov.au/people/1053814">Trove</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-biographie.de/pnd117634794.html?language=en">Deutsche Biographie</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/078523265">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w67m109m">SNAC</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://rism.online/people/164545">RISM</a></span></li></ul></div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&oldid=1249957047">https://en.wikipedia.org/w/index.php?title=William_Brouncker,_2nd_Viscount_Brouncker&oldid=1249957047</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a 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William Brouncker, 2nd Viscount Brouncker - Wikipedia