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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-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A6%D1%8B%D0%BD%D1%8C_%D0%A6%D0%B7%D1%8E%D1%88%D0%B0%D0%B0" title="Цынь Цзюшаа – Belarusian" lang="be" hreflang="be" data-title="Цынь Цзюшаа" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Catalan" lang="ca" hreflang="ca" data-title="Qin Jiushao" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C4%8Cchin_%C5%A4iou-%C5%A1ao" title="Čchin Ťiou-šao – Czech" lang="cs" hreflang="cs" data-title="Čchin Ťiou-šao" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – German" lang="de" hreflang="de" data-title="Qin Jiushao" 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/Qin_Jiushao" title="Qin Jiushao – Spanish" lang="es" hreflang="es" data-title="Qin Jiushao" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Basque" lang="eu" hreflang="eu" data-title="Qin Jiushao" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – French" lang="fr" hreflang="fr" data-title="Qin Jiushao" 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/Qin_Jiushao" title="Qin Jiushao – Galician" lang="gl" hreflang="gl" data-title="Qin Jiushao" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Indonesian" lang="id" hreflang="id" data-title="Qin Jiushao" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Italian" lang="it" hreflang="it" data-title="Qin Jiushao" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Cornish" lang="kw" hreflang="kw" data-title="Qin Jiushao" data-language-autonym="Kernowek" data-language-local-name="Cornish" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%AA%D8%B4%D9%8A%D9%86_%D8%AC%D9%8A%D9%88%D8%B4%D8%A7%D9%88" title="تشين جيوشاو – Egyptian Arabic" lang="arz" hreflang="arz" data-title="تشين جيوشاو" 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/Qin_Jiushao" title="Qin Jiushao – Dutch" lang="nl" hreflang="nl" data-title="Qin Jiushao" 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/%E7%A7%A6%E4%B9%9D%E9%9F%B6" title="秦九韶 – Japanese" lang="ja" hreflang="ja" data-title="秦九韶" 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/Qin_Jiushao" title="Qin Jiushao – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Qin Jiushao" 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/Chin_Ch%27iu-shao" title="Chin Ch'iu-shao – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Chin Ch'iu-shao" 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-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Portuguese" lang="pt" hreflang="pt" data-title="Qin Jiushao" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A6%D0%B8%D0%BD%D1%8C_%D0%A6%D0%B7%D1%8E%D1%88%D0%B0%D0%BE" title="Цинь Цзюшао – Russian" lang="ru" hreflang="ru" data-title="Цинь Цзюшао" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Simple English" lang="en-simple" hreflang="en-simple" data-title="Qin Jiushao" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/%C4%8Cin_D%C5%BEju%C5%A1ao" title="Čin Džjušao – Slovenian" lang="sl" hreflang="sl" data-title="Čin Džjušao" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Qin_Jiushao" title="Qin Jiushao – Turkish" lang="tr" hreflang="tr" data-title="Qin Jiushao" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A6%D1%96%D0%BD%D1%8C_%D0%A6%D0%B7%D1%8E%D1%88%D0%B0%D0%BE" title="Цінь Цзюшао – Ukrainian" lang="uk" hreflang="uk" data-title="Цінь Цзюшао" 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div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">In this <a href="/wiki/Chinese_name" title="Chinese name">Chinese name</a>, the <a href="/wiki/Chinese_surname" title="Chinese surname">family name</a> is <i> <a href="/wiki/Qin_(surname)" title="Qin (surname)">Qin</a></i>.</div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Third_order_equation-Shu-shu-jiu-zhang.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Third_order_equation-Shu-shu-jiu-zhang.jpg/220px-Third_order_equation-Shu-shu-jiu-zhang.jpg" decoding="async" width="220" height="142" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Third_order_equation-Shu-shu-jiu-zhang.jpg/330px-Third_order_equation-Shu-shu-jiu-zhang.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Third_order_equation-Shu-shu-jiu-zhang.jpg/440px-Third_order_equation-Shu-shu-jiu-zhang.jpg 2x" data-file-width="1214" data-file-height="782" /></a><figcaption>Third order equation Yi Jia Tang "Six Book Nine Chapters" positive and negative opening power map</figcaption></figure> <p><b>Qin Jiushao</b> (<a href="/wiki/Chinese_language" title="Chinese language">Chinese</a>: <span lang="zh">秦九韶</span>; <a href="/wiki/Pinyin" title="Pinyin">pinyin</a>: <i><span lang="zh-Latn">Qín Jiǔsháo</span></i>; <a href="/wiki/Wade%E2%80%93Giles" title="Wade–Giles">Wade–Giles</a>: <i><span lang="zh-Latn-wadegile"><b>Ch'in Chiu-shao</b></span></i>, ca. 1202–1261), <a href="/wiki/Courtesy_name" title="Courtesy name">courtesy name</a> Daogu (道古), was a Chinese mathematician, meteorologist, inventor, politician, and writer. He is credited for discovering <a href="/wiki/Horner%27s_method" title="Horner's method">Horner's method</a> as well as inventing <a href="/wiki/Tianchi_basin" title="Tianchi basin">Tianchi basins</a>, a type of rain gauge instrument used to gather meteorological data.<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> <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=Qin_Jiushao&action=edit&section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Although Qin Jiushao was born in <a href="/wiki/Ziyang,_Sichuan" class="mw-redirect" title="Ziyang, Sichuan">Ziyang, Sichuan</a>, his family came from <a href="/wiki/Shandong" title="Shandong">Shandong</a> province. He is regarded as one of the greatest mathematicians in Chinese history. This is especially remarkable because Qin did not devote his life to <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>. He was accomplished in many other fields and held a series of bureaucratic positions in several <a href="/wiki/Chinese_provinces" class="mw-redirect" title="Chinese provinces">Chinese provinces</a>. </p><p>Qin wrote <i>Shùshū Jiǔzhāng</i> ("<a href="/wiki/Mathematical_Treatise_in_Nine_Sections" title="Mathematical Treatise in Nine Sections">Mathematical Treatise in Nine Sections</a>") in 1247 CE. This treatise covered a variety of topics including indeterminate equations and the numerical solution of certain polynomial equations up to 10th order, as well as discussions on military matters and surveying. In the treatise Qin included a general form of the <a href="/wiki/Chinese_remainder_theorem" title="Chinese remainder theorem">Chinese remainder theorem</a> that used <i>Da yan shu</i> (大衍术) or <a href="/wiki/Algorithm" title="Algorithm">algorithms</a> to solve it. In geometry, he discovered "Qin Jiushao's formula" for finding the area of a triangle from the given lengths of three sides. This formula is the same as <a href="/wiki/Heron%27s_formula" title="Heron's formula">Heron's formula</a>, proved by <a href="/wiki/Heron_of_Alexandria" class="mw-redirect" title="Heron of Alexandria">Heron of Alexandria</a> about 60 BCE, though knowledge of the formula may go back to <a href="/wiki/Archimedes" title="Archimedes">Archimedes</a>. </p><p>As precipitation was important agriculture and food production, Qin developed precipitation gauges that was widely used in 1247 during the <a href="/wiki/Mongol_Empire" title="Mongol Empire">Mongol Empire</a>/<a href="/wiki/Southern_Song_dynasty" class="mw-redirect" title="Southern Song dynasty">Southern Song dynasty</a> to gather meteorological data. Qin Jiushao later records the application of rainfall measurements in the mathematical treatise. The book also discusses the use of large snow gauges made from bamboo situated in mountain passes and uplands which are speculated to be first referenced to snow measurement.<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><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Qin recorded the earliest explanation of how <a href="/wiki/Chinese_calendar" title="Chinese calendar">Chinese calendar</a> experts calculated <a href="/wiki/Astronomy" title="Astronomy">astronomical</a> data according to the timing of the <a href="/wiki/Dongzhi_(solar_term)" title="Dongzhi (solar term)">winter solstice</a>. Among his accomplishments are the introduction techniques for solving certain types of algebraic <a href="/wiki/Equation" title="Equation">equations</a> using a numerical algorithm (equivalent to the 19th century <a href="/wiki/Horner%27s_method" title="Horner's method">Horner's method</a>) and for finding <a href="/wiki/Sums" class="mw-redirect" title="Sums">sums</a> of <a href="/wiki/Arithmetic_series" class="mw-redirect" title="Arithmetic series">arithmetic series</a>. He also introduced the use of the <a href="/wiki/0_(number)" class="mw-redirect" title="0 (number)">zero symbol</a> into written <a href="/wiki/Chinese_mathematics" title="Chinese mathematics">Chinese mathematics</a>. </p><p>After he completed his work on mathematics, he ventured into politics. As a government official he was boastful, corrupt, and was accused of bribery and of poisoning his enemies. As a result, he was relieved of his duties multiple times. Yet in spite of these problems he managed to become very wealthy (Katz, 1993). </p> <div class="mw-heading mw-heading2"><h2 id="Main_work">Main work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Qin_Jiushao&action=edit&section=2" title="Edit section: Main work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i>Shushu Jiuzhang (Mathematical Treatise in Nine Sections)</i> (1248)</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=Qin_Jiushao&action=edit&section=3" 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 reflist-columns references-column-width reflist-columns-3"> <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="CITEREFSelin2008" class="citation book cs1">Selin, Helaine (2008). <i><a href="/wiki/Encyclopaedia_of_the_History_of_Science,_Technology,_and_Medicine_in_Non-Western_Cultures" title="Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures">Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures</a></i> (2nd ed.). Springer. p. 736. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1402045592" title="Special:BookSources/978-1402045592"><bdi>978-1402045592</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Encyclopaedia+of+the+History+of+Science%2C+Technology%2C+and+Medicine+in+Non-Western+Cultures&rft.pages=736&rft.edition=2nd&rft.pub=Springer&rft.date=2008&rft.isbn=978-1402045592&rft.aulast=Selin&rft.aufirst=Helaine&rfr_id=info%3Asid%2Fen.wikipedia.org%3AQin+Jiushao" 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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFStrangeways2011" class="citation book cs1">Strangeways, Ian (2011). <i>Precipitation: Theory, Measurement and Distribution</i>. Cambridge University Press (published April 14, 2011). p. 140. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0521172929" title="Special:BookSources/978-0521172929"><bdi>978-0521172929</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Precipitation%3A+Theory%2C+Measurement+and+Distribution&rft.pages=140&rft.pub=Cambridge+University+Press&rft.date=2011&rft.isbn=978-0521172929&rft.aulast=Strangeways&rft.aufirst=Ian&rfr_id=info%3Asid%2Fen.wikipedia.org%3AQin+Jiushao" class="Z3988"></span></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSelin2008" class="citation book cs1">Selin, Helaine (2008). <i>Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures</i> (2nd ed.). Springer (published April 16, 2008). p. 736. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1402045592" title="Special:BookSources/978-1402045592"><bdi>978-1402045592</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Encyclopaedia+of+the+History+of+Science%2C+Technology%2C+and+Medicine+in+Non-Western+Cultures&rft.pages=736&rft.edition=2nd&rft.pub=Springer&rft.date=2008&rft.isbn=978-1402045592&rft.aulast=Selin&rft.aufirst=Helaine&rfr_id=info%3Asid%2Fen.wikipedia.org%3AQin+Jiushao" class="Z3988"></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Bibliography">Bibliography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Qin_Jiushao&action=edit&section=4" title="Edit section: Bibliography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Guo, Shuchun. <i><a href="/wiki/Encyclopedia_of_China" title="Encyclopedia of China">Encyclopedia of China</a></i> (Mathematics Volume), 1st ed.</li> <li>Qin Jiushao, <a rel="nofollow" class="external autonumber" href="https://web.archive.org/web/20050408053452/http://www.math.sfu.ca/histmath/China/13thCenturyAD/Qin.html">[1]</a>. (Chinese History Timeline), 2007.</li> <li>Ulrich Libbrecht: <i>Chinese Mathematics in the Thirteenth Century</i> (The Shu-Shu-Chiu-Chang of Chin Chiu shao) Dover Publication <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-486-44619-0" title="Special:BookSources/0-486-44619-0">0-486-44619-0</a></li> <li><a href="/wiki/Victor_J._Katz" title="Victor J. Katz">Victor J. Katz</a> "A history of mathematics: an introduction." New York (1993).</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=Qin_Jiushao&action=edit&section=5" 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/Qin_Jiushao.html">"Qin Jiushao"</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=Qin+Jiushao&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%2FQin_Jiushao.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AQin+Jiushao" class="Z3988"></span></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20050408053452/http://www.math.sfu.ca/histmath/China/13thCenturyAD/Qin.html">Simon Fraser University biography for "Qin Jiushao"</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": 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id="Song_dynasty_topics" style="font-size:114%;margin:0 4em"><a href="/wiki/Song_dynasty" title="Song dynasty">Song dynasty</a> topics</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_the_Song_dynasty" title="History of the Song dynasty">History</a> (<a href="/wiki/Timeline_of_the_Song_dynasty" title="Timeline of the Song dynasty">Timeline</a>)</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chenqiao_mutiny" title="Chenqiao mutiny">Chenqiao mutiny</a></li> <li>Unification <ul><li><a href="/wiki/Song_conquest_of_Later_Shu" title="Song conquest of Later Shu">Later Shu</a></li> <li><a href="/wiki/Song_conquest_of_Southern_Han" title="Song conquest of Southern Han">Southern Han</a></li> <li><a href="/wiki/Song_conquest_of_Southern_Tang" title="Song conquest of Southern Tang">Southern Tang</a></li> <li><a href="/wiki/Battle_of_Gaoliang_River" title="Battle of Gaoliang River">Gaoliang River</a></li></ul></li> <li><a href="/wiki/Song%E2%80%93%C4%90%E1%BA%A1i_C%E1%BB%93_Vi%E1%BB%87t_war" title="Song–Đại Cồ Việt war">Song–Đại Cồ Việt war</a></li> <li><a href="/wiki/Song%E2%80%93Xia_wars" title="Song–Xia wars">Song–Xia wars</a></li> <li><a href="/wiki/Chanyuan_Treaty" title="Chanyuan Treaty">Chanyuan Treaty</a></li> <li><a href="/wiki/Wang_Ze" title="Wang Ze">Wang Ze rebellion</a></li> <li><a href="/wiki/Nong_Zhigao_rebellions" title="Nong Zhigao rebellions">Nong Zhigao rebellions</a></li> <li><a href="/wiki/Song%E2%80%93Tibet_relations" title="Song–Tibet relations">Song–Tibet relations</a></li> <li><a href="/wiki/Song%E2%80%93Viet_war_(1075%E2%80%931077)" class="mw-redirect" title="Song–Viet war (1075–1077)">Song–Viet war (1075–1077)</a></li> <li><a href="/wiki/Fang_La" title="Fang La">Fang La rebellion</a></li> <li><a href="/wiki/Alliance_Conducted_at_Sea" title="Alliance Conducted at Sea">Alliance Conducted at Sea</a></li> <li><a href="/wiki/Jin%E2%80%93Song_Wars" class="mw-redirect" title="Jin–Song Wars">Jin–Song Wars</a> <ul><li><a href="/wiki/Jingkang_incident" title="Jingkang incident">Jingkang</a></li> <li><a href="/wiki/Battle_of_Huangtiandang" title="Battle of Huangtiandang">Huangtiandang</a></li> <li><a href="/wiki/Siege_of_De%27an" title="Siege of De'an">De'an</a></li> <li><a href="/wiki/Battle_of_Yancheng" title="Battle of Yancheng">Yancheng</a></li> <li><a href="/wiki/Treaty_of_Shaoxing" title="Treaty of Shaoxing">Treaty of Shaoxing</a></li> <li><a href="/wiki/Battle_of_Tangdao" title="Battle of Tangdao">Tangdao</a></li> <li><a href="/wiki/Battle_of_Caishi" title="Battle of Caishi">Caishi</a></li> <li><a href="/wiki/Siege_of_Caizhou" title="Siege of Caizhou">Caizhou</a></li></ul></li> <li><a href="/wiki/Mongol_conquest_of_Song_China" class="mw-redirect" title="Mongol conquest of Song China">Mongol conquest</a> <ul><li><a href="/wiki/Siege_of_Diaoyucheng" title="Siege of Diaoyucheng">Diaoyucheng</a></li> <li><a href="/wiki/Battle_of_Xiangyang" title="Battle of Xiangyang">Xiangyang</a></li> <li><a href="/wiki/Battle_of_Yamen" title="Battle of Yamen">Yamen</a></li></ul></li></ul> </div></td><td class="noviewer navbox-image" rowspan="5" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:Ma_Lin_Guests.jpg" class="mw-file-description" title="Painting by Song painter Ma Lin"><img alt="Painting by Song painter Ma Lin" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Ma_Lin_Guests.jpg/50px-Ma_Lin_Guests.jpg" decoding="async" width="50" height="49" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Ma_Lin_Guests.jpg/75px-Ma_Lin_Guests.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Ma_Lin_Guests.jpg/100px-Ma_Lin_Guests.jpg 2x" data-file-width="1864" data-file-height="1818" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Government</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_emperors_of_the_Song_dynasty" title="List of emperors of the Song dynasty">Emperors</a> <ul><li><a href="/wiki/Chinese_emperors_family_tree_(middle)#Song_dynasty" class="mw-redirect" title="Chinese emperors family tree (middle)">Family tree</a></li></ul></li> <li><a href="/wiki/Imperial_examination#Song_dynasty_(960–1279)" title="Imperial examination">Imperial examinations</a></li> <li><a href="/wiki/Administration_of_territory_in_dynastic_China#Song_dynasty_(960–1279)" title="Administration of territory in dynastic China">Administrative units</a> <ul><li><a href="/wiki/Sixteen_Prefectures" title="Sixteen Prefectures">Sixteen Prefectures</a></li></ul></li> <li><a href="/wiki/Military_history_of_the_Song_dynasty" title="Military history of the Song dynasty">Military</a></li> <li><a href="/wiki/Bureau_of_Military_Affairs" title="Bureau of Military Affairs">Bureau of Military Affairs</a></li> <li><a href="/wiki/Qingli_Reforms" title="Qingli Reforms">Qingli Reforms</a></li> <li><a href="/wiki/New_Policies_(Song_dynasty)" title="New Policies (Song dynasty)">New Policies</a></li> <li><a href="/wiki/Baojia_system" title="Baojia system">Baojia system</a></li> <li><a href="/wiki/Three_Bureaus" title="Three Bureaus">Three Bureaus</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;text-align: center;"><a href="/wiki/Three_Departments_and_Six_Ministries" title="Three Departments and Six Ministries">Three Departments</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Department_of_State_Affairs" class="mw-redirect" title="Department of State Affairs">Department of State Affairs</a></li> <li><a href="/wiki/Zhongshu_Sheng" title="Zhongshu Sheng">Secretariat</a></li> <li><a href="/wiki/Menxia_Sheng" title="Menxia Sheng">Chancellery</a></li> <li>(<a href="/wiki/Secretariat-Chancellery" title="Secretariat-Chancellery">Secretariat-Chancellery</a>)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align: center;"><a href="/wiki/Three_Departments_and_Six_Ministries" title="Three Departments and Six Ministries">Six Ministries</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ol><li><a href="/wiki/Ministry_of_Personnel" title="Ministry of Personnel">Ministry of Personnel</a></li> <li><a href="/wiki/Ministry_of_Revenue_(imperial_China)" title="Ministry of Revenue (imperial China)">Ministry of Revenue</a></li> <li><a href="/wiki/Ministry_of_Rites" title="Ministry of Rites">Ministry of Rites</a></li> <li><a href="/wiki/Ministry_of_War_(imperial_China)" title="Ministry of War (imperial China)">Ministry of War</a></li> <li><a href="/wiki/Ministry_of_Justice_(imperial_China)" title="Ministry of Justice (imperial China)">Ministry of Justice</a></li> <li><a href="/wiki/Ministry_of_Works_(imperial_China)" title="Ministry of Works (imperial China)">Ministry of Works</a></li></ol> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Culture_of_the_Song_dynasty" title="Culture of the Song dynasty">Culture</a> and <a href="/wiki/Society_of_the_Song_dynasty" title="Society of the Song dynasty">Society</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Religion_in_the_Song_dynasty" title="Religion in the Song dynasty">Religion</a></li> <li><a href="/wiki/Song_poetry" title="Song poetry">Poetry</a></li> <li><a href="/wiki/Five_Great_Kilns" title="Five Great Kilns">Five Great Kilns</a> <ul><li><a href="/wiki/Ding_ware" title="Ding ware">Ding ware</a></li> <li><a href="/wiki/Ge_ware" title="Ge ware">Ge ware</a></li> <li><a href="/wiki/Guan_ware" title="Guan ware">Guan ware</a></li> <li><a href="/wiki/Jun_ware" title="Jun ware">Jun ware</a></li> <li><a href="/wiki/Ru_ware" title="Ru ware">Ru ware</a></li></ul></li> <li><a href="/wiki/Longquan_celadon" title="Longquan celadon">Longquan celadon</a></li> <li><a href="/wiki/Cizhou_ware" title="Cizhou ware">Cizhou ware</a></li> <li><a href="/wiki/Qingbai_ware" title="Qingbai ware">Qingbai ware</a></li> <li><a href="/wiki/Yaozhou_ware" title="Yaozhou ware">Yaozhou ware</a></li> <li><a href="/wiki/Jian_ware" title="Jian ware">Jian ware</a></li> <li><a href="/wiki/Four_Treasures_of_Hebei#Great_Bodhisattva_of_Zhengding_(971)" title="Four Treasures of Hebei">Great Bodhisattva of Zhengding</a></li> <li><i><a href="/wiki/Along_the_River_During_the_Qingming_Festival" title="Along the River During the Qingming Festival">Along the River During the Qingming Festival</a></i></li> <li><a href="/wiki/Four_Great_Books_of_Song" title="Four Great Books of Song">Four Great Books of Song</a></li> <li><i><a href="/wiki/Dongjing_Meng_Hua_Lu" title="Dongjing Meng Hua Lu">Dongjing Meng Hua Lu</a></i></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;text-align: center;">Writers</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Fan_Zhongyan" title="Fan Zhongyan">Fan Zhongyan</a> (989–1052)</li> <li><a href="/wiki/Yan_Shu" title="Yan Shu">Yan Shu</a> (991–1055)</li> <li><a href="/wiki/Song_Qi" title="Song Qi">Song Qi</a> (998–1061)</li> <li><a href="/wiki/Mei_Yaochen" title="Mei Yaochen">Mei Yaochen</a> (1002–1060)</li> <li><a href="/wiki/Ouyang_Xiu" title="Ouyang Xiu">Ouyang Xiu</a> (1007–1072)</li> <li><a href="/wiki/Su_Xun" title="Su Xun">Su Xun</a> (1009–1066)</li> <li><a href="/wiki/Shao_Yong" title="Shao Yong">Shao Yong</a> (1011–1077)</li> <li><a href="/wiki/Cai_Xiang" title="Cai Xiang">Cai Xiang</a> (1012–1067)</li> <li><a href="/wiki/Zhou_Dunyi" title="Zhou Dunyi">Zhou Dunyi</a> (1017–1073)</li> <li><a href="/wiki/Zeng_Gong" title="Zeng Gong">Zeng Gong</a> (1019–1083)</li> <li><a href="/wiki/Sima_Guang" title="Sima Guang">Sima Guang</a> (1019–1086)</li> <li><a href="/wiki/Zhang_Zai" title="Zhang Zai">Zhang Zai</a> (1022–1077)</li> <li><a href="/wiki/Cheng_Hao" title="Cheng Hao">Cheng Hao</a> (1032–1085)</li> <li><a href="/wiki/Cheng_Yi_(philosopher)" title="Cheng Yi (philosopher)">Cheng Yi</a> (1033–1107)</li> <li><a href="/wiki/Su_Shi" title="Su Shi">Su Shi</a> (1037–1101)</li> <li><a href="/wiki/Su_Zhe" title="Su Zhe">Su Zhe</a> (1039–1112)</li> <li><a href="/wiki/Huang_Tingjian" title="Huang Tingjian">Huang Tingjian</a> (1045–1105)</li> <li><a href="/wiki/Cai_Jing" title="Cai Jing">Cai Jing</a> (1047–1126)</li> <li><a href="/wiki/Zhou_Bangyan" title="Zhou Bangyan">Zhou Bangyan</a> (1056–1121)</li> <li><a href="/wiki/Li_Qingzhao" title="Li Qingzhao">Li Qingzhao</a> (1084–1155)</li> <li><a href="/wiki/Zhu_Bian" title="Zhu Bian">Zhu Bian</a> (1085–1144)</li> <li><a href="/wiki/Zhu_Yu_(author)" title="Zhu Yu (author)">Zhu Yu</a> (<abbr title="floruit ('flourished' – known to have been active at a particular time or during a particular period)">fl.</abbr><span style="white-space:nowrap;"> 1111–1117</span>)</li> <li><a href="/wiki/Lu_You" title="Lu You">Lu You</a> (1125–1209)</li> <li><a href="/wiki/Fan_Chengda" title="Fan Chengda">Fan Chengda</a> (1126–1193)</li> <li><a href="/wiki/Yang_Wanli" title="Yang Wanli">Yang Wanli</a> (1127–1206)</li> <li><a href="/wiki/Zhu_Xi" title="Zhu Xi">Zhu Xi</a> (1130–1200)</li> <li><a href="/wiki/Xin_Qiji" title="Xin Qiji">Xin Qiji</a> (1140–1207)</li> <li><a href="/wiki/Zhao_Rukuo" title="Zhao Rukuo">Zhao Rukuo</a> (1170–1231)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align: center;">Painters</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Fan_Kuan" title="Fan Kuan">Fan Kuan</a> (960–1030)</li> <li><a href="/wiki/Xu_Daoning" title="Xu Daoning">Xu Daoning</a> (970–1053)</li> <li><a href="/wiki/Zhao_Chang" title="Zhao Chang">Zhao Chang</a> (10th c.)</li> <li><a href="/wiki/Yi_Yuanji" title="Yi Yuanji">Yi Yuanji</a> (1000–1064)</li> <li><a href="/wiki/Wen_Tong" title="Wen Tong">Wen Tong</a> (1019–1079)</li> <li><a href="/wiki/Guo_Xi" title="Guo Xi">Guo Xi</a> (1020–1090)</li> <li><a href="/wiki/Wang_Shen_(Song_dynasty)" title="Wang Shen (Song dynasty)">Wang Shen</a> (1036–1093)</li> <li><a href="/wiki/Li_Gonglin" title="Li Gonglin">Li Gonglin</a> (1049–1106)</li> <li><a href="/wiki/Cui_Bai" title="Cui Bai">Cui Bai</a> (<abbr title="floruit ('flourished' – known to have been active at a particular time or during a particular period)">fl.</abbr><span style="white-space:nowrap;"> 1050–1080</span>)</li> <li><a href="/wiki/Mi_Fu" title="Mi Fu">Mi Fu</a> (1051–1107)</li> <li><a href="/wiki/Emperor_Huizong_of_Song" title="Emperor Huizong of Song">Emperor Huizong</a> (1082–1135)</li> <li><a href="/wiki/Zhang_Zeduan" title="Zhang Zeduan">Zhang Zeduan</a> (1085–1145)</li> <li><a href="/wiki/Su_Hanchen" title="Su Hanchen">Su Hanchen</a> (1094-1172)</li> <li><a href="/wiki/Wang_Ximeng" title="Wang Ximeng">Wang Ximeng</a> (1096–1119)</li> <li><a href="/wiki/Li_Di" title="Li Di">Li Di</a> (1100–1197)</li> <li><a href="/wiki/Zhao_Boju" title="Zhao Boju">Zhao Boju</a> (1120–1182)</li> <li><a href="/wiki/Liang_Kai" title="Liang Kai">Liang Kai</a> (1140–1210)</li> <li><a href="/wiki/Lin_Tinggui" title="Lin Tinggui">Lin Tinggui</a> (<abbr title="floruit ('flourished' – known to have been active at a particular time or during a particular period)">fl.</abbr><span style="white-space:nowrap;"> 1174–1189</span>)</li> <li><a href="/wiki/Zhou_Jichang" title="Zhou Jichang">Zhou Jichang</a> (12th c.)</li> <li><a href="/wiki/Wuzhun_Shifan" title="Wuzhun Shifan">Wuzhun Shifan</a> (1178–1249)</li> <li><a href="/wiki/Li_Song_(painter)" title="Li Song (painter)">Li Song</a> (1190–1230)</li> <li><a href="/wiki/Zhao_Mengjian" title="Zhao Mengjian">Zhao Mengjian</a> (1199–1295)</li> <li><a href="/wiki/Muqi" title="Muqi">Muqi</a> (1210–1269)</li> <li><a href="/wiki/Gong_Kai" title="Gong Kai">Gong Kai</a> (1222–1307)</li> <li><a href="/wiki/Qian_Xuan" title="Qian Xuan">Qian Xuan</a> (1235–1305)</li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Economy_of_the_Song_dynasty" title="Economy of the Song dynasty">Economy</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Wang_Anshi" title="Wang Anshi">Wang Anshi</a> (1021–1086)</li> <li><a href="/wiki/Joint-stock_company" title="Joint-stock company">Joint-stock company</a></li> <li><a href="/wiki/Banknote" title="Banknote">Banknote</a> <ul><li><a href="/wiki/Jiaozi_(currency)" title="Jiaozi (currency)">Jiaozi</a></li> <li><a href="/wiki/Guanzi_(currency)" title="Guanzi (currency)">Guanzi</a></li> <li><a href="/wiki/Huizi_(currency)" title="Huizi (currency)">Huizi</a></li></ul></li> <li><a href="/wiki/Southern_Song_dynasty_coinage" title="Southern Song dynasty coinage">Southern Song dynasty coinage</a></li> <li><a href="/wiki/Champa_rice" title="Champa rice">Champa rice</a></li> <li><a href="/wiki/Nanhai_One" title="Nanhai One">Nanhai One</a></li> <li><i><a href="/wiki/Zhu_Fan_Zhi" title="Zhu Fan Zhi">Zhu Fan Zhi</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Science_and_technology_of_the_Song_dynasty" title="Science and technology of the Song dynasty">Science and technology</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Gunpowder" title="Gunpowder">Gunpowder</a> <ul><li><a href="/wiki/Gunpowder_weapons_in_the_Song_dynasty" title="Gunpowder weapons in the Song dynasty">Gunpowder weapons</a></li> <li><i><a href="/wiki/Wujing_Zongyao" title="Wujing Zongyao">Wujing Zongyao</a></i></li></ul></li> <li><a href="/wiki/Coke_(fuel)" title="Coke (fuel)">Coke</a></li> <li><a href="/wiki/Bessemer_process" title="Bessemer process">Early Bessemer process</a></li> <li><a href="/wiki/Chain_drive" title="Chain drive">Endless power transmitting chain drive</a></li> <li><a href="/wiki/Astronomical_clock" title="Astronomical clock">Astronomical clock</a></li> <li><a href="/wiki/Movable_type" title="Movable type">Movable type</a></li> <li><a href="/wiki/Compass" title="Compass">Compass</a></li> <li><a href="/wiki/Lock_(water_navigation)" title="Lock (water navigation)">Pound lock</a></li> <li><a href="/wiki/Dry_dock" title="Dry dock">Dry dock</a></li> <li><a href="/wiki/Bulkhead_(partition)" title="Bulkhead (partition)">Watertight bulkhead</a></li> <li><a href="/wiki/Fishing_reel" title="Fishing reel">Fishing reel</a></li> <li><a href="/wiki/Tianchi_basin" title="Tianchi basin">Tianchi basin</a></li> <li><a href="/wiki/Horner%27s_method" title="Horner's method">Horner's method</a></li> <li><a href="/wiki/Architecture_of_the_Song_dynasty" title="Architecture of the Song dynasty">Architecture</a> <ul><li><a href="/wiki/Liaodi_Pagoda" title="Liaodi Pagoda">Liaodi Pagoda</a></li> <li><i><a href="/wiki/Yingzao_Fashi" title="Yingzao Fashi">Yingzao Fashi</a></i></li></ul></li> <li><a href="/wiki/Forensic_entomology" title="Forensic entomology">Forensic entomology</a> <ul><li><i><a href="/wiki/Collected_Cases_of_Injustice_Rectified" title="Collected Cases of Injustice Rectified">Collected Cases of Injustice Rectified</a></i></li></ul></li> <li><i><a href="/wiki/Dream_Pool_Essays" title="Dream Pool Essays">Dream Pool Essays</a></i></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Inventors" scope="row" class="navbox-group" style="width:1%;text-align: center;">Inventors</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bi_Sheng" title="Bi Sheng">Bi Sheng</a> (972–1051)</li> <li><a href="/wiki/Zhang_Sixun" title="Zhang Sixun">Zhang Sixun</a> (<abbr title="floruit ('flourished' – known to have been active at a particular time or during a particular period)">fl.</abbr><span style="white-space:nowrap;"> 10th c.</span>)</li> <li><a href="/wiki/Jia_Xian" title="Jia Xian">Jia Xian</a> (1010–1070)</li> <li><a href="/wiki/Su_Song" title="Su Song">Su Song</a> (1020–1101)</li> <li><a href="/wiki/Shen_Kuo" title="Shen Kuo">Shen Kuo</a> (1031–1095)</li> <li><a href="/wiki/Song_Ci" title="Song Ci">Song Ci</a> (1186–1249)</li> <li><a href="/wiki/Li_Ye_(mathematician)" title="Li Ye (mathematician)">Li Ye</a> (1192-1279)</li> <li><a class="mw-selflink selflink">Qin Jiushao</a> (1202–1261)</li> <li><a href="/wiki/Guo_Shoujing" title="Guo Shoujing">Guo Shoujing</a> (1231–1316)</li></ul> </div></td></tr></tbody></table><div> </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/31891968">VIAF</a></span><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/288947665">2</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/678159234128803370901">3</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/317039939">4</a></span></li></ul></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/1842699/">FAST</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJmMYrtfG7hG7Ryb87w3cP">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://id.loc.gov/authorities/nr96003148">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://nla.gov.au/anbd.aut-an36718575">Australia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p113902735">Netherlands</a></span><ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p222367377">2</a></span></li></ul></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://aleweb.ncl.edu.tw/F/?func=accref&acc_sequence=000225191&CON_LNG=ENG">Taiwan</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" 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