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Jakob II Bernoulli - Wikipedia

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Available in 16 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-16" 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">16 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Jakob_Bernoulli_II" title="Jakob Bernoulli II – Catalan" lang="ca" hreflang="ca" data-title="Jakob Bernoulli II" 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/Jakob_II_Bernoulli" title="Jakob II Bernoulli – German" lang="de" hreflang="de" data-title="Jakob II Bernoulli" 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/Jacob_II_Bernoulli" title="Jacob II Bernoulli – Spanish" lang="es" hreflang="es" data-title="Jacob II Bernoulli" 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/Jacques_Bernoulli_(1759-1789)" title="Jacques Bernoulli (1759-1789) – French" lang="fr" hreflang="fr" data-title="Jacques Bernoulli (1759-1789)" data-language-autonym="Français" data-language-local-name="French" 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/Jakob_II_Bernoulli" title="Jakob II Bernoulli – Galician" lang="gl" hreflang="gl" data-title="Jakob II Bernoulli" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Jakob_Bernoulli_II" title="Jakob Bernoulli II – Italian" lang="it" hreflang="it" data-title="Jakob Bernoulli II" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Jacob_II_Bernoulli" title="Jacob II Bernoulli – Maltese" lang="mt" hreflang="mt" data-title="Jacob II Bernoulli" data-language-autonym="Malti" data-language-local-name="Maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%AC%D8%A7%D9%83%D9%88%D8%A8_%D8%A7%D9%84%D8%AA%D8%A7%D9%86%D9%89_%D8%A8%D8%B1%D9%86%D9%88%D9%84%D9%89" title="جاكوب التانى برنولى – Egyptian Arabic" lang="arz" hreflang="arz" data-title="جاكوب التانى برنولى" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Jakob_Bernoulli_II" title="Jakob Bernoulli II – Piedmontese" lang="pms" hreflang="pms" data-title="Jakob Bernoulli II" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Jakob_Bernoulli_(1759%E2%80%931789)" title="Jakob Bernoulli (1759–1789) – Polish" lang="pl" hreflang="pl" data-title="Jakob Bernoulli (1759–1789)" data-language-autonym="Polski" data-language-local-name="Polish" 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/Jacob_II_Bernoulli" title="Jacob II Bernoulli – Portuguese" lang="pt" hreflang="pt" data-title="Jacob II Bernoulli" 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/Jakob_II_Bernoulli" title="Jakob II Bernoulli – Romanian" lang="ro" hreflang="ro" data-title="Jakob II Bernoulli" data-language-autonym="Română" data-language-local-name="Romanian" 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%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D0%B8,_%D0%AF%D0%BA%D0%BE%D0%B1_II" title="Бернулли, Якоб II – Russian" lang="ru" hreflang="ru" data-title="Бернулли, Якоб II" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Jakob_II_Bernoulli" title="Jakob II Bernoulli – Swedish" lang="sv" hreflang="sv" data-title="Jakob II Bernoulli" 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%AF%D0%BA%D0%BE%D0%B1_II_%D0%91%D0%B5%D1%80%D0%BD%D1%83%D0%BB%D0%BB%D1%96" title="Якоб II Бернуллі – Ukrainian" lang="uk" hreflang="uk" data-title="Якоб II Бернуллі" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AC%DB%8C%DA%A9%D8%A8_%D8%A8%D8%B1%D9%86%D9%88%D9%84%DB%8C_%D8%AF%D9%88%D9%85" title="جیکب برنولی دوم – Urdu" lang="ur" hreflang="ur" data-title="جیکب برنولی دوم" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</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/Q123982#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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Unsourced material may be challenged and removed.<br /><small><span class="plainlinks"><i>Find sources:</i>&#160;<a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&amp;q=%22Jakob+II+Bernoulli%22">"Jakob II Bernoulli"</a>&#160;–&#160;<a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&amp;q=%22Jakob+II+Bernoulli%22+-wikipedia&amp;tbs=ar:1">news</a>&#160;<b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&amp;q=%22Jakob+II+Bernoulli%22&amp;tbs=bkt:s&amp;tbm=bks">newspapers</a>&#160;<b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&amp;q=%22Jakob+II+Bernoulli%22+-wikipedia">books</a>&#160;<b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Jakob+II+Bernoulli%22">scholar</a>&#160;<b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Jakob+II+Bernoulli%22&amp;acc=on&amp;wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">September 2010</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Jakob_II_Bernoulli-Euler.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Jakob_II_Bernoulli-Euler.png/220px-Jakob_II_Bernoulli-Euler.png" decoding="async" width="220" height="276" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Jakob_II_Bernoulli-Euler.png/330px-Jakob_II_Bernoulli-Euler.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e3/Jakob_II_Bernoulli-Euler.png/440px-Jakob_II_Bernoulli-Euler.png 2x" data-file-width="819" data-file-height="1028" /></a><figcaption>Jakob II Bernoulli.</figcaption></figure> <p><b>Jakob II Bernoulli</b> (17 October 1759, <a href="/wiki/Basel" title="Basel">Basel</a> – 3 July 1789, <a href="/wiki/Saint_Petersburg" title="Saint Petersburg">Saint Petersburg</a>), younger brother of <a href="/wiki/Johann_III_Bernoulli" title="Johann III Bernoulli">Johann III Bernoulli</a>, was a Swiss physicist. </p> <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=Jakob_II_Bernoulli&amp;action=edit&amp;section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Having finished his literary studies, he was, according to custom, sent to Neuchâtel to learn French. On his return, he graduated in law. This study, however, did not check his hereditary taste for geometry. The early lessons which he had received from his father were continued by his uncle <a href="/wiki/Daniel_Bernoulli" title="Daniel Bernoulli">Daniel</a>, and such was his progress that at the age of twenty-one he was called to undertake the duties of the chair of experimental physics, which his uncle's advanced years rendered him unable to discharge. He afterwards accepted the situation of secretary to count de Brenner, which afforded him an opportunity of seeing Germany and Italy. In Italy, he formed a friendship with Lorgna, professor of mathematics at Verona, and one of the founders of the Società Italiana for the encouragement of the sciences. He was also made corresponding member of the royal society of Turin; and, while residing at Venice, he was, through the friendly representation of <a href="/wiki/Nicolaus_von_Fuss" class="mw-redirect" title="Nicolaus von Fuss">Nicolaus von Fuss</a>, admitted into the academy of St Petersburg. In 1788, he was named one of its mathematical professors. </p><p>He drowned while bathing in the <a href="/wiki/Neva_River" class="mw-redirect" title="Neva River">Neva</a> in July 1789, a few months after his marriage to a granddaughter of <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a>. </p><p>Several of his papers are contained in the first six volumes of <i>Nova Acta Academiae Scientiarum Imperialis Petropolitanae</i>, in the <i>Acta Helvetica</i>, in the <i>Memoirs of the Academies of Berlin and Turin</i>, and in his brother Johann's publications. He also published separately some juridical and physical theses, and a German translation of <i>Mémoires du philosophe de Merian</i>. </p><p>He was one of the last notable members of the <a href="/wiki/Bernoulli_family" title="Bernoulli family">Bernoulli family</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Sources">Sources</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Jakob_II_Bernoulli&amp;action=edit&amp;section=2" title="Edit section: Sources"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="noprint"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png" decoding="async" width="12" height="13" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/18px-Wikisource-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/24px-Wikisource-logo.svg.png 2x" data-file-width="410" data-file-height="430" /></span></span>&#160;</span>This article&#160;incorporates text from a publication now in the <a href="/wiki/Public_domain" title="Public domain">public domain</a>:&#160;<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="CITEREFChisholm1911" class="citation encyclopaedia cs1"><a href="/wiki/Hugh_Chisholm" title="Hugh Chisholm">Chisholm, Hugh</a>, ed. (1911). "<a href="https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Bernoulli" class="extiw" title="s:1911 Encyclopædia Britannica/Bernoulli">Bernoulli</a>". <i><a href="/wiki/Encyclop%C3%A6dia_Britannica_Eleventh_Edition" title="Encyclopædia Britannica Eleventh Edition">Encyclopædia Britannica</a></i> (11th&#160;ed.). Cambridge University Press.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Bernoulli&amp;rft.btitle=Encyclop%C3%A6dia+Britannica&amp;rft.edition=11th&amp;rft.pub=Cambridge+University+Press&amp;rft.date=1911&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AJakob+II+Bernoulli" class="Z3988"></span></li></ul> <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=Jakob_II_Bernoulli&amp;action=edit&amp;section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Commons-logo.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" 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style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus Bernoulli <br />(1623–1708)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Jacob_Bernoulli" title="Jacob Bernoulli">Jacob Bernoulli</a> <br />(1654–1705)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus Bernoulli <br />(1662–1716)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_Bernoulli" title="Johann Bernoulli">Johann Bernoulli</a> <br />(1667–1748)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Nicolaus_I_Bernoulli" title="Nicolaus I Bernoulli">Nicolaus I Bernoulli</a> <br />(1687–1759)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Nicolaus_II_Bernoulli" title="Nicolaus II Bernoulli">Nicolaus II Bernoulli</a> <br />(1695–1726)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Daniel_Bernoulli" title="Daniel Bernoulli">Daniel Bernoulli</a> <br />(1700–1782)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_II_Bernoulli" title="Johann II Bernoulli">Johann II Bernoulli</a> <br />(1710–1790)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Johann_III_Bernoulli" title="Johann III Bernoulli">Johann III Bernoulli</a> <br />(1744–1807)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Daniel II Bernoulli <br />(1751–1834)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus IV Bernoulli <br />(1754–1841)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a class="mw-selflink selflink">Jakob II Bernoulli</a> <br />(1759–1789)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Nicolaus <br />(1793–1876)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Fritz <br />(1824–1913)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em">Theodor <br />(1837–1909)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td rowspan="2" style="border-right:1px solid;height:2em;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td style="height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="border-right:1px solid;border-bottom:1px solid;height:1em;width:1em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td style="height:1em;border-bottom:1px solid;width:1em"></td><td rowspan="2" style="height:2em;width:1em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td style="border-right:1px solid;height:1em;width:1em"></td><td style="height:1em;width:1em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td colspan="2" style="height:1em;width:2em"></td><td style="border-right:1px solid;height:1em;width:1em"></td></tr> <tr style="height:1px;text-align:center"><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Hermann_Hesse" title="Hermann Hesse">Hermann Hesse</a> <br />(1877–1962)</td><td colspan="2" style="height:1em;border-bottom:1px solid;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Maria_Bernoulli" class="mw-redirect" title="Maria Bernoulli">Maria Bernoulli</a><span class="noprint" style="font-size:85%; font-style: normal;">&#160;&#91;<a href="https://de.wikipedia.org/wiki/Mia_Hesse-Bernoulli" class="extiw" title="de:Mia Hesse-Bernoulli">de</a>&#93;</span> <br />(1868–1963)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Elisabeth_Bernoulli" title="Elisabeth Bernoulli">Elisabeth Bernoulli</a> <br />(1873–1935)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="6" rowspan="2" style="border:2px solid;padding:0.2em"><a href="/wiki/Hans_Benno_Bernoulli" title="Hans Benno Bernoulli">Hans Benno Bernoulli</a> <br />(1876–1959)</td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td><td colspan="2" rowspan="2" style="height:2em;width:2em"></td></tr><tr style="height:1px;text-align:center"><td colspan="2" style="height:1em;width:2em"></td></tr> </tbody></table></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" /></div><div role="navigation" class="navbox authority-control" 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href="https://viaf.org/viaf/18054468">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJtcDGVghxc38kYBtkyrv3">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/120475030">Germany</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://zbmath.org/authors/?q=ai:bernoulli.jacob-ii">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/657207">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://www.deutsche-biographie.de/120475030.html?language=en">Deutsche Biographie</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-digitale-bibliothek.de/person/gnd/120475030">DDB</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/25934396X">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://hls-dhs-dss.ch/fr/articles/025845">Historical Dictionary of Switzerland</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.next‐57c6b68f99‐6cdg4 Cached time: 20250311141924 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1] CPU time usage: 0.364 seconds Real time usage: 0.521 seconds Preprocessor visited node count: 1327/1000000 Post‐expand include size: 125786/2097152 bytes Template argument size: 755/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 4/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 16672/5000000 bytes Lua time usage: 0.255/10.000 seconds Lua memory usage: 6688097/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 464.027 1 -total 33.11% 153.617 1 Template:Bernoulli_family 30.98% 143.751 1 Template:Navbox 20.75% 96.285 1 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