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class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="我们推荐您创建账号并登录，但这不是强制性的" class=""><span>创建账号</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="建议你登录，尽管并非必须。[o]" accesskey="o" class=""><span>登录</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="更多选项" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="个人工具" > <label 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href="/w/index.php?title=Special:%E5%88%9B%E5%BB%BA%E8%B4%A6%E6%88%B7&returnto=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="我们推荐您创建账号并登录，但这不是强制性的"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>创建账号</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:%E7%94%A8%E6%88%B7%E7%99%BB%E5%BD%95&returnto=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="建议你登录，尽管并非必须。[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>登录</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 未登录编辑者的页面 <a href="/wiki/Help:%E6%96%B0%E6%89%8B%E5%85%A5%E9%97%A8" aria-label="了解有关编辑的更多信息"><span>了解详情</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%B4%A1%E7%8C%AE" title="来自此IP地址的编辑列表[y]" accesskey="y"><span>贡献</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:%E6%88%91%E7%9A%84%E8%AE%A8%E8%AE%BA%E9%A1%B5" title="对于来自此IP地址编辑的讨论[n]" accesskey="n"><span>讨论</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="站点"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="目录" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">目录</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">隐藏</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">序言</div> </a> </li> <li id="toc-卷上" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#卷上"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>卷上</span> </div> </a> <ul id="toc-卷上-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-卷中" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#卷中"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>卷中</span> </div> </a> <ul id="toc-卷中-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-卷下" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#卷下"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>卷下</span> </div> </a> <ul id="toc-卷下-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-參考文獻" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#參考文獻"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>參考文獻</span> </div> </a> <button aria-controls="toc-參考文獻-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>开关參考文獻子章节</span> </button> <ul id="toc-參考文獻-sublist" class="vector-toc-list"> <li id="toc-引用" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#引用"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>引用</span> </div> </a> <ul id="toc-引用-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-来源" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#来源"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>来源</span> </div> </a> <ul id="toc-来源-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="目录" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="目录" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="开关目录" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">开关目录</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">益古演段</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="前往另一种语言写成的文章。1种语言可用" > <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-1" 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">1种语言</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Yigu_yanduan" title="Yigu yanduan – 英语" lang="en" hreflang="en" data-title="Yigu yanduan" data-language-autonym="English" data-language-local-name="英语" class="interlanguage-link-target"><span>English</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/Q8053579#sitelinks-wikipedia" title="编辑跨语言链接" class="wbc-editpage">编辑链接</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="命名空间"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="浏览条目正文[c]" accesskey="c"><span>条目</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" rel="discussion" title="关于此页面的讨论[t]" accesskey="t"><span>讨论</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown " > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="更改语言变体" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">不转换</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-varlang-0" class="selected ca-variants-zh mw-list-item"><a href="/zh/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh" hreflang="zh"><span>不转换</span></a></li><li id="ca-varlang-1" class="ca-variants-zh-Hans mw-list-item"><a href="/zh-hans/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hans" hreflang="zh-Hans"><span>简体</span></a></li><li id="ca-varlang-2" class="ca-variants-zh-Hant mw-list-item"><a href="/zh-hant/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hant" hreflang="zh-Hant"><span>繁體</span></a></li><li id="ca-varlang-3" class="ca-variants-zh-Hans-CN mw-list-item"><a href="/zh-cn/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hans-CN" hreflang="zh-Hans-CN"><span>大陆简体</span></a></li><li id="ca-varlang-4" class="ca-variants-zh-Hant-HK mw-list-item"><a href="/zh-hk/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hant-HK" hreflang="zh-Hant-HK"><span>香港繁體</span></a></li><li id="ca-varlang-5" class="ca-variants-zh-Hant-MO mw-list-item"><a href="/zh-mo/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hant-MO" hreflang="zh-Hant-MO"><span>澳門繁體</span></a></li><li id="ca-varlang-6" class="ca-variants-zh-Hans-MY mw-list-item"><a href="/zh-my/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hans-MY" hreflang="zh-Hans-MY"><span>大马简体</span></a></li><li id="ca-varlang-7" class="ca-variants-zh-Hans-SG mw-list-item"><a href="/zh-sg/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hans-SG" hreflang="zh-Hans-SG"><span>新加坡简体</span></a></li><li id="ca-varlang-8" class="ca-variants-zh-Hant-TW mw-list-item"><a href="/zh-tw/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" lang="zh-Hant-TW" hreflang="zh-Hant-TW"><span>臺灣正體</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="查看"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5"><span>阅读</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=history" title="本页面的早前版本。[h]" accesskey="h"><span>查看历史</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="页面工具"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="工具" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">工具</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">工具</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">移至侧栏</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">隐藏</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="更多选项" > <div class="vector-menu-heading"> 操作 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5"><span>阅读</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit" title="编辑该页面[e]" accesskey="e"><span>编辑</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=history"><span>查看历史</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> 常规 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%85%A5%E9%A1%B5%E9%9D%A2/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" title="列出所有与本页相链的页面[j]" accesskey="j"><span>链入页面</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:%E9%93%BE%E5%87%BA%E6%9B%B4%E6%94%B9/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" rel="nofollow" title="页面链出所有页面的更改[k]" accesskey="k"><span>相关更改</span></a></li><li id="t-upload" class="mw-list-item"><a href="//zh.wikipedia.org/wiki/Project:上传" title="上传图像或多媒体文件[u]" accesskey="u"><span>上传文件</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&oldid=48631494" title="此页面该修订版本的固定链接"><span>固定链接</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=info" title="关于此页面的更多信息"><span>页面信息</span></a></li><li id="t-cite" 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id="electron-print_pdf" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=show-download-screen"><span>下载为PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="本页面的可打印版本[p]" accesskey="p"><span>打印页面</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> 在其他项目中 </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5" hreflang="en"><span>维基共享资源</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q8053579" title="链接到连接的数据仓库项目[g]" 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src="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5.jpg/300px-%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5.jpg" decoding="async" width="300" height="423" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/85/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5.jpg/450px-%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/8/85/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5.jpg 2x" data-file-width="579" data-file-height="817" /></a><figcaption><a href="/wiki/%E5%9B%9B%E5%BA%93%E5%85%A8%E4%B9%A6" class="mw-redirect" title="四库全书">四库全书</a><a href="/wiki/%E7%9F%A5%E4%B8%8D%E8%B6%B3%E9%BD%8B%E5%8F%A2%E6%9B%B8" title="知不足齋叢書">知不足斋丛书</a>《益古演段》书影</figcaption></figure> <p>《<b>益古演段</b>》是<a href="/wiki/%E6%9D%8E%E5%86%B6_(%E6%95%B8%E5%AD%B8%E5%AE%B6)" class="mw-redirect" title="李冶 (數學家)">李冶</a>的一部数学著作。“益古”指蒋周的《益古集》，“演段”指蒋周的算书《益古集》中的<a href="/wiki/%E6%9D%A1%E6%AE%B5%E6%B3%95" title="条段法">条段法</a>。基本上都是已知平面图形的面积，求圆的半径、<a href="/wiki/%E6%AD%A3%E6%96%B9%E5%BD%A2" title="正方形">正方形</a>的边长和<a href="/wiki/%E5%91%A8%E9%95%BF" title="周长">周长</a>等等。书中先用<a href="/wiki/%E5%A4%A9%E5%85%83%E6%9C%AF" title="天元术">天元术</a>建立方程（多数是二次方程），再用条段法旁证。 </p><p>题目的格式，分四部分：“法曰”、“条段图”、“依条段求之”、“义曰”、和“旧术曰”。 </p> <ul><li>法即天元法，</li> <li>条段图和条段法是蒋周《益古集》的方法，</li> <li>义就是文字说明，</li> <li>旧术是《益古籍》中的方法，</li> <li>依条段求之指用条段法证明天元术。</li></ul> <p><a href="/wiki/%E5%9B%9B%E5%BA%93%E5%85%A8%E4%B9%A6" class="mw-redirect" title="四库全书">四库全书</a>所收<a href="/wiki/%E7%9F%A5%E4%B8%8D%E8%B6%B3%E9%BD%8B%E5%8F%A2%E6%9B%B8" title="知不足齋叢書">知不足斋丛书</a>《益古演段》三卷，一共64问。 </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="卷上"><span id=".E5.8D.B7.E4.B8.8A"></span>卷上</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=1" title="编辑章节：卷上"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/File:%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg/300px-%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg" decoding="async" width="300" height="398" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg/450px-%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2f/%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg/600px-%E7%9B%8A%E5%8F%A4%E7%AC%AC%E5%85%AB%E9%97%AE.jpg 2x" data-file-width="618" data-file-height="819" /></a><figcaption></figcaption></figure> <p>卷上第一问至第二十二问，全是关于正方形和圆形的问题。 </p><p>例子：第八问：<i>今有方田一段，内有园池水占之。外有地一十三亩七分半。只云内外方圆周共相和，得三百步。问方圆周各多少？</i> </p><p>答曰：外方周二百四十步，内圆周六十步。 </p><p>法曰：立天元一为圆径，以三之为圆周，以减共步，得 </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太 <dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_v-3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Counting_rod_v-3.png/20px-Counting_rod_v-3.png" decoding="async" width="20" height="23" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/3/3f/Counting_rod_v-3.png 1.5x" data-file-width="25" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>为方周，以自增乘，得 </p> <dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/7a/Counting_rod_v9.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太</dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/72/Counting_rod_v-8.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> （天元：相当于未知数 x） <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/7a/Counting_rod_v9.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>十六段方田积于头，再立天元圆径以自之又十二之，得 </p> <dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太</dd> <dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span></dd></dl></dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span></dd></dl></dd></dl> <p>为十六个圆池积以减头位得 </p> <dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/7a/Counting_rod_v9.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太</dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/72/Counting_rod_v-8.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> <dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/3/3f/Counting_rod_v-3.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>为十六段如积，寄左然后列真积一十三亩七分半，以亩法通之得五万二千八百步，与左相消得 </p> <dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span></dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/72/Counting_rod_v-8.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/3/3f/Counting_rod_v-3.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>开平方为圆池径，又三之为圆池周。 </p> <div class="mw-heading mw-heading2"><h2 id="卷中"><span id=".E5.8D.B7.E4.B8.AD"></span>卷中</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=2" title="编辑章节：卷中"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/File:%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg/250px-%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg" decoding="async" width="250" height="272" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d7/%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg/375px-%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d7/%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg/500px-%E7%9B%8A%E5%8F%A4%E7%AC%AC36%E9%97%AE.jpg 2x" data-file-width="615" data-file-height="670" /></a><figcaption></figcaption></figure> <p>第二十三问至第四十二问，共20 问，解长方形和圆形的问题。 </p><p>例题：第三十六问 </p><p>今有圆田一段，中有直池水占之，外计地六千步。只云从内池四角斜至四楞各一十七步半。其内池长阔共相和得八十五步。问三事各多少？ </p><p>答曰外田径一百步，池长六十步，阔二十五步。 </p><p>法曰（天元术）：立天元一位内池斜角，加二倍池角到圆池的距离为圆的直径 </p><p>圆直径： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/6b/Counting_rod_h3.png" decoding="async" width="29" height="19" class="mw-file-element" data-file-width="29" data-file-height="19" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> 太（常数项） <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span> （天元：相当于未知数 x）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>圆直径= x+35 </p><p><br /> 将近似圆周率 3 乘圆直径的平方得圆面积的四倍= <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 3(x+35)^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mn>35</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3(x+35)^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5430a6718c359f0a56f92f15a685e9f50432a5f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.521ex; height:3.176ex;" alt="{\displaystyle 3(x+35)^{2}}"></span>= 3 <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 (x^{2}+70x+1225)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>70</mn> <mi>x</mi> <mo>+</mo> <mn>1225</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x^{2}+70x+1225)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6532f840bcb15f43b2701aa9ab9bbd01f5ab833d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.178ex; height:3.176ex;" alt="{\displaystyle (x^{2}+70x+1225)}"></span>= <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 3x^{2}+210x+3675}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>210</mn> <mi>x</mi> <mo>+</mo> <mn>3675</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3x^{2}+210x+3675}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d2e36c638d23b7cb172748615324cc07acd01a9d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:18.694ex; height:2.843ex;" alt="{\displaystyle 3x^{2}+210x+3675}"></span> </p><p>四段圆面积： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/6b/Counting_rod_h3.png" decoding="async" width="29" height="19" class="mw-file-element" data-file-width="29" data-file-height="19" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> 太（常数项） <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 元（x） <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span> （<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 x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf0bf28fd28f45d07e1ceb909ce333c18c558c93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.384ex; height:2.676ex;" alt="{\displaystyle x^{2}}"></span>项）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>四段圆面积减去四倍土地面积得池面积的四倍=<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 3x^{2}+210x+3675}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>210</mn> <mi>x</mi> <mo>+</mo> <mn>3675</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3x^{2}+210x+3675}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d2e36c638d23b7cb172748615324cc07acd01a9d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:18.694ex; height:2.843ex;" alt="{\displaystyle 3x^{2}+210x+3675}"></span>- 4 x 6000 =<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 3x^{2}+210x-20325}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>210</mn> <mi>x</mi> <mo>−</mo> <mn>20325</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3x^{2}+210x-20325}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8ce3b4cd84012881ad338bae6bfb7b06da02e008" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:19.857ex; height:2.843ex;" alt="{\displaystyle 3x^{2}+210x-20325}"></span> </p><p>四段池积： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/3/3f/Counting_rod_v-3.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/51/Counting_rod_h2.png" decoding="async" width="29" height="13" class="mw-file-element" data-file-width="29" data-file-height="13" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> 太 <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 元（x） <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span> （<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 x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf0bf28fd28f45d07e1ceb909ce333c18c558c93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.384ex; height:2.676ex;" alt="{\displaystyle x^{2}}"></span>项）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>池长阔之和 85的平方 </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/51/Counting_rod_h2.png" decoding="async" width="29" height="13" class="mw-file-element" data-file-width="29" data-file-height="13" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> （7225）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>等于四段池面积加一段较（水池长与阔之差）幂（平方） </p><p>又二段池面积加一段较幂等于长的平方加阔的平方等于 </p><p>水池对角线幂（对角线长度的平方）： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太</dd> <dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 元（x）</dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span> （<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 x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf0bf28fd28f45d07e1ceb909ce333c18c558c93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.384ex; height:2.676ex;" alt="{\displaystyle x^{2}}"></span>）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>（四池积 + 较幂） -(二池积+ 较幂) = 二池积 = 7225-<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 x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf0bf28fd28f45d07e1ceb909ce333c18c558c93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.384ex; height:2.676ex;" alt="{\displaystyle x^{2}}"></span> </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/51/Counting_rod_h2.png" decoding="async" width="29" height="13" class="mw-file-element" data-file-width="29" data-file-height="13" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> （7225） <dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span></dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/Counting_rod_v-1.png" decoding="async" width="23" height="29" class="mw-file-element" data-file-width="23" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>二段池积乘二 = 四段池积: </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/74/Counting_rod_h5.png" decoding="async" width="29" height="31" class="mw-file-element" data-file-width="29" data-file-height="31" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> <dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span></dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/64/Counting_rod_v-2.png" decoding="async" width="23" height="29" class="mw-file-element" data-file-width="23" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>与上四段池积： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/3/3f/Counting_rod_v-3.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h2.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/51/Counting_rod_h2.png" decoding="async" width="29" height="13" class="mw-file-element" data-file-width="29" data-file-height="13" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> 太 <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 元（x） <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span> （<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 x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cf0bf28fd28f45d07e1ceb909ce333c18c558c93" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.384ex; height:2.676ex;" alt="{\displaystyle x^{2}}"></span>项）</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>合并得一元二次方程式 <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 5x^{2}+210x-34775}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>210</mn> <mi>x</mi> <mo>−</mo> <mn>34775</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5x^{2}+210x-34775}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7afbe02720b05b83557cf57cabb56cb9beb612e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:19.857ex; height:2.843ex;" alt="{\displaystyle 5x^{2}+210x-34775}"></span>: </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/b/b5/Counting_rod_v3.png" decoding="async" width="19" height="29" class="mw-file-element" data-file-width="19" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/d1/Counting_rod_v7.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span> 太 <dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_vertical_black_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/13px-Counting_rod_vertical_black_2.svg.png" decoding="async" width="13" height="29" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/20px-Counting_rod_vertical_black_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Counting_rod_vertical_black_2.svg/26px-Counting_rod_vertical_black_2.svg.png 2x" data-file-width="13" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 元</dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/e/e4/Counting_rod_v5.png" decoding="async" width="31" height="29" class="mw-file-element" data-file-width="31" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>解之得池对角线长度为65步 </p><p>圆直径= 65 + 2 * 17.5 = 65+35=100 </p><p>较 = 长 - 阔 =35步长 +阔 =85 </p><p>由此池长=60 步池阔 =25 步 </p> <div class="mw-heading mw-heading2"><h2 id="卷下"><span id=".E5.8D.B7.E4.B8.8B"></span>卷下</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=3" title="编辑章节：卷下"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File"><a href="/wiki/File:%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg/350px-%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg" decoding="async" width="350" height="265" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg/525px-%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg/700px-%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5%E4%B8%8B54.jpg 2x" data-file-width="822" data-file-height="623" /></a><figcaption></figcaption></figure> <p>第四十三问至第六十四问，共22 问，是关于比较复杂的图形。 </p><p>第五十四问：<i>今有方田一段，内有直池结角占之；外计地一千一百五十步只云从田角至水两边各一十四步，一十九步；问三事各多少？</i> </p><p>答曰：方四十五步，池长三十五步，阔二十五步。 </p><p><br /> 法曰：设天元一为池阔：x </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span></dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span> 元</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>池阔加田角到池边距离的2倍（38步）等于方田对角线的长度：x+38 </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h3.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/6b/Counting_rod_h3.png" decoding="async" width="29" height="19" class="mw-file-element" data-file-width="29" data-file-height="19" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/64/Counting_rod_v8.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span> <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span> 元</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>取平方得展田（以方田对角线为边的正方形）面积 <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 x^{2}+76x+1444}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>76</mn> <mi>x</mi> <mo>+</mo> <mn>1444</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+76x+1444}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c587c8944beccc3d665d0bb9f40b184506a6d960" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:16.369ex; height:2.843ex;" alt="{\displaystyle x^{2}+76x+1444}"></span> </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span> <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h7.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/5/5d/Counting_rod_h7.png" decoding="async" width="29" height="37" class="mw-file-element" data-file-width="29" data-file-height="37" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span> 元 <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd>又池长-池阔 = 2 (19-14) = 10</dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>池长 = 池阔 +10：x+10 </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太 <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>池面积 = 池阔乘池长：x(x+10) =<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 x^{2}+10x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>10</mn> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+10x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/188f44091114fc40f6e58e67202533336663c0ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:8.879ex; height:2.843ex;" alt="{\displaystyle x^{2}+10x}"></span> </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> 太</dd> <dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>池面积乘 1.96 ( <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 {\sqrt {(}}2)=1.4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> </msqrt> </mrow> <mn>2</mn> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1.4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {(}}2)=1.4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2892eff0c1cc2f5b7c701030fa2ca9332ea0c787" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.366ex; height:4.843ex;" alt="{\displaystyle {\sqrt {(}}2)=1.4}"></span> 的平方 =1.96) 得 <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 1.96x^{2}+19.6x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1.96</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>19.6</mn> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1.96x^{2}+19.6x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ab65a4bb560ae151a0d53342a48136099e81625" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:14.822ex; height:2.843ex;" alt="{\displaystyle 1.96x^{2}+19.6x}"></span> </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/7a/Counting_rod_v9.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/c1/Counting_rod_h6.png" decoding="async" width="29" height="31" class="mw-file-element" data-file-width="29" data-file-height="31" /></a></span> 太 <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v1.png" decoding="async" width="7" height="29" class="mw-file-element" data-file-width="7" data-file-height="29" /></a></span> <span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/ff/Counting_rod_h9.png" decoding="async" width="29" height="47" class="mw-file-element" data-file-width="29" data-file-height="47" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>展田面积 - 池面积乘 1.96得地积乘1.96： </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 x^{2}+76x+1444}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>76</mn> <mi>x</mi> <mo>+</mo> <mn>1444</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+76x+1444}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c587c8944beccc3d665d0bb9f40b184506a6d960" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:16.369ex; height:2.843ex;" alt="{\displaystyle x^{2}+76x+1444}"></span> - <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 1.96x^{2}+19.6x=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1.96</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>19.6</mn> <mi>x</mi> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1.96x^{2}+19.6x=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2caca4da5c7d11fcd619a9298cf69ebf91805b7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.276ex; height:2.843ex;" alt="{\displaystyle 1.96x^{2}+19.6x=}"></span>：<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 -0.96x^{2}+56.4x+1444}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mn>0.96</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>56.4</mn> <mi>x</mi> <mo>+</mo> <mn>1444</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -0.96x^{2}+56.4x+1444}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0cbc5a573f46d3cf641e90e6c57d2f757826de3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:24.121ex; height:2.843ex;" alt="{\displaystyle -0.96x^{2}+56.4x+1444}"></span></dd></dl> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/17/Counting_rod_h1.png" decoding="async" width="29" height="7" class="mw-file-element" data-file-width="29" data-file-height="7" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/67/Counting_rod_v4.png" decoding="async" width="25" height="29" class="mw-file-element" data-file-width="25" data-file-height="29" /></a></span> <dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/74/Counting_rod_h5.png" decoding="async" width="29" height="31" class="mw-file-element" data-file-width="29" data-file-height="31" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span> 元 <dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/ff/Counting_rod_h9.png" decoding="async" width="29" height="47" class="mw-file-element" data-file-width="29" data-file-height="47" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/11/Counting_rod_v-6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>占地乘 1.96 =1150 * 1.96 =2254=<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 -0.96x^{2}+56.4x+1444}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mn>0.96</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>56.4</mn> <mi>x</mi> <mo>+</mo> <mn>1444</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -0.96x^{2}+56.4x+1444}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0cbc5a573f46d3cf641e90e6c57d2f757826de3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:24.121ex; height:2.843ex;" alt="{\displaystyle -0.96x^{2}+56.4x+1444}"></span> </p><p>由此得 =<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 -0.96x^{2}+56.4x-810}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−</mo> <mn>0.96</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>56.4</mn> <mi>x</mi> <mo>−</mo> <mn>810</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -0.96x^{2}+56.4x-810}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b48b96b7bbcf86149f49204b389967e2ed112e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:22.958ex; height:2.843ex;" alt="{\displaystyle -0.96x^{2}+56.4x-810}"></span>： </p> <dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v8.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/64/Counting_rod_v8.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/6f/Counting_rod_v-1.png" decoding="async" width="23" height="29" class="mw-file-element" data-file-width="23" data-file-height="29" /></a></span><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span> <dl><dd><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h5.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/7/74/Counting_rod_h5.png" decoding="async" width="29" height="31" class="mw-file-element" data-file-width="29" data-file-height="31" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/19/Counting_rod_v6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h4.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/c/ce/Counting_rod_h4.png" decoding="async" width="29" height="25" class="mw-file-element" data-file-width="29" data-file-height="25" /></a></span> 元 <dl><dd><span typeof="mw:File"><a href="/wiki/File:Counting_rod_numeral_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/20px-Counting_rod_numeral_0.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/30px-Counting_rod_numeral_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Counting_rod_numeral_0.svg/40px-Counting_rod_numeral_0.svg.png 2x" data-file-width="23" data-file-height="23" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_h9.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/f/ff/Counting_rod_h9.png" decoding="async" width="29" height="47" class="mw-file-element" data-file-width="29" data-file-height="47" /></a></span><span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Counting_rod_v-6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/1/11/Counting_rod_v-6.png" decoding="async" width="29" height="32" class="mw-file-element" data-file-width="29" data-file-height="32" /></a></span></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl></dd></dl> <p>解方程得池阔 25步由此得池长 =池阔 +10 =35步放田边长 =45 步 </p><p><br /> </p><p><br /> </p><p><br /> 李冶在出版《<a href="/wiki/%E6%B5%8B%E5%9C%86%E6%B5%B7%E9%95%9C" title="测圆海镜">测圆海镜</a>》之后，撰写《益古演段》，将抽象的代数方法（天元术）和直观性强的几何方法（条段法）相结合来阐述问题，图文并茂，便于学习天元术，使此书成为当时受人们欢迎的数学教材。蒋周的《益古集》已失传，《益古演段》成为保留最详尽的条段法资料的文献。 </p><p>1902年英国<a href="/wiki/%E4%BC%A6%E6%95%A6%E4%BC%9A" class="mw-redirect" title="伦敦会">伦敦会</a>传教士<a href="/wiki/%E5%81%89%E7%83%88%E4%BA%9E%E5%8A%9B" title="偉烈亞力">伟烈亚力</a>在1902年上海出版的《中国典籍扎记》简略地介绍了《益古演段》<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><p>1913年法国赫师慎（van Hée）将《益古演段》64问翻译成法文，发表在通报上。<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> 1984年<a href="/wiki/%E6%96%B0%E5%8A%A0%E5%9D%A1%E5%A4%A7%E5%AD%A6" class="mw-redirect" title="新加坡大学">新加坡大学</a><a href="/wiki/%E8%93%9D%E4%B8%BD%E8%93%89" title="蓝丽蓉">蓝丽蓉</a>和<a href="/wiki/%E9%A9%AC%E6%9D%A5%E8%A5%BF%E4%BA%9A" title="马来西亚">马来西亚</a>的<a href="/w/index.php?title=%E6%B4%AA%E5%A4%A9%E8%B5%90&action=edit&redlink=1" class="new" title="洪天赐（页面不存在）">洪天赐</a>发表英文论文题为《李冶及其益古演段》。 </p> <div class="mw-heading mw-heading2"><h2 id="參考文獻"><span id=".E5.8F.83.E8.80.83.E6.96.87.E7.8D.BB"></span>參考文獻</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=4" title="编辑章节：參考文獻"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="引用"><span id=".E5.BC.95.E7.94.A8"></span>引用</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=5" title="编辑章节：引用"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist columns references-column-width" style="-moz-column-width: 30em; -webkit-column-width: 30em; column-width: 30em; list-style-type: decimal;"> <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">Alexander Wylie, Notes on Chinese Literature, p117; 1902, Shanghai</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">van Hée Li Yeh, Mathématicien Chinois du XIIIe siècle, <i>TP</i>,1913,<i>14</i>,537</span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="来源"><span id=".E6.9D.A5.E6.BA.90"></span>来源</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E7%9B%8A%E5%8F%A4%E6%BC%94%E6%AE%B5&action=edit&section=6" title="编辑章节：来源"><span>编辑</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r80540462">.mw-parser-output .refbegin{font-size:90%;margin-bottom:0.5em}.mw-parser-output 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style="width:1%;text-align:center; background-color:#FFD700;">易類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%91%A8%E6%98%93%E5%8F%A3%E8%A8%A3%E7%BE%A9&action=edit&redlink=1" class="new" title="周易口訣義（页面不存在）">周易口訣義</a>》 - 《<a href="/w/index.php?title=%E6%BA%AB%E5%85%AC%E6%98%93%E8%AA%AA&action=edit&redlink=1" class="new" title="溫公易說（页面不存在）">溫公易說</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E5%AD%B8%E8%BE%A8%E6%83%91&action=edit&redlink=1" class="new" title="易學辨惑（页面不存在）">易學辨惑</a>》 - 《<a href="/w/index.php?title=%E8%AE%80%E6%98%93%E8%A9%B3%E8%AA%AA&action=edit&redlink=1" class="new" title="讀易詳說（页面不存在）">讀易詳說</a>》 - 《<a href="/w/index.php?title=%E5%91%A8%E6%98%93%E7%AA%BA%E9%A4%98&action=edit&redlink=1" class="new" title="周易窺餘（页面不存在）">周易窺餘</a>》<br />《<a href="/w/index.php?title=%E6%98%93%E8%AE%8A%E9%AB%94%E7%BE%A9&action=edit&redlink=1" class="new" title="易變體義（页面不存在）">易變體義</a>》 - 《<a href="/wiki/%E6%98%93%E5%8E%9F" title="易原">易原</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E8%AA%AA&action=edit&redlink=1" class="new" title="易說（页面不存在）">易說</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E5%82%B3%E7%87%88&action=edit&redlink=1" class="new" title="易傳燈（页面不存在）">易傳燈</a>》 - 《<a href="/w/index.php?title=%E5%8E%9A%E9%BD%8B%E6%98%93%E5%AD%B8&action=edit&redlink=1" class="new" title="厚齋易學（页面不存在）">厚齋易學</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E8%B1%A1%E6%84%8F%E8%A8%80&action=edit&redlink=1" class="new" title="易象意言（页面不存在）">易象意言</a>》<br />《<a href="/w/index.php?title=%E5%91%A8%E6%98%93%E8%A9%B3%E8%A7%A3&action=edit&redlink=1" class="new" title="周易詳解（页面不存在）">周易詳解</a>》 - 《<a href="/w/index.php?title=%E8%AE%80%E6%98%93%E8%88%89%E8%A6%81&action=edit&redlink=1" class="new" title="讀易舉要（页面不存在）">讀易舉要</a>》 - 《<a href="/w/index.php?title=%E5%91%A8%E6%98%93%E8%B1%A1%E7%BE%A9&action=edit&redlink=1" class="new" title="周易象義（页面不存在）">周易象義</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E7%BA%82%E8%A8%80%E5%A4%96%E7%BF%BC&action=edit&redlink=1" class="new" title="易纂言外翼（页面不存在）">易纂言外翼</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E7%B2%BE%E8%98%8A%E5%A4%A7%E7%BE%A9&action=edit&redlink=1" class="new" title="易精蘊大義（页面不存在）">易精蘊大義</a>》 - 《<a href="/w/index.php?title=%E6%98%93%E5%AD%B8%E8%AE%8A%E9%80%9A&action=edit&redlink=1" class="new" title="易學變通（页面不存在）">易學變通</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">書類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%B4%AA%E7%AF%84%E5%8F%A3%E7%BE%A9&action=edit&redlink=1" class="new" title="洪範口義（页面不存在）">洪範口義</a>》 - 《<a href="/w/index.php?title=%E7%A6%B9%E8%B2%A2%E6%8C%87%E5%8D%97&action=edit&redlink=1" class="new" title="禹貢指南（页面不存在）">禹貢指南</a>》 - 《<a href="/w/index.php?title=%E7%A6%B9%E8%B2%A2%E8%AB%96&action=edit&redlink=1" class="new" title="禹貢論（页面不存在）">禹貢論</a>、後論、山川地理圖》 - 《<a href="/w/index.php?title=%E5%B0%9A%E6%9B%B8%E8%AC%9B%E7%BE%A9&action=edit&redlink=1" class="new" title="尚書講義（页面不存在）">尚書講義</a>》 - 《<a href="/w/index.php?title=%E5%B0%9A%E6%9B%B8%E8%A9%B3%E8%A7%A3&action=edit&redlink=1" class="new" title="尚書詳解（页面不存在）">尚書詳解</a>》<br />《<a href="/wiki/%E7%A6%B9%E8%B4%A1%E8%AF%B4%E6%96%AD" title="禹贡说断">禹貢說斷</a>》 - 《<a href="/w/index.php?title=%E4%BA%94%E8%AA%A5%E8%A7%A3&action=edit&redlink=1" class="new" title="五誥解（页面不存在）">五誥解</a>》 - 《<a href="/w/index.php?title=%E7%B5%9C%E9%BD%8B%E5%AE%B6%E5%A1%BE%E6%9B%B8%E9%88%94&action=edit&redlink=1" class="new" title="絜齋家塾書鈔（页面不存在）">絜齋家塾書鈔</a>》 - 《<a href="/w/index.php?title=%E5%B0%9A%E6%9B%B8%E7%B2%BE%E7%BE%A9&action=edit&redlink=1" class="new" title="尚書精義（页面不存在）">尚書精義</a>》 - 《<a href="/w/index.php?title=%E8%9E%8D%E5%A0%82%E6%9B%B8%E8%A7%A3&action=edit&redlink=1" class="new" title="融堂書解（页面不存在）">融堂書解</a>》 - 《<a href="/w/index.php?title=%E6%B4%AA%E7%AF%84%E7%B5%B1%E4%B8%80&action=edit&redlink=1" class="new" title="洪範統一（页面不存在）">洪範統一</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">詩類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%85%88%E6%B9%96%E8%A9%A9%E5%82%B3&action=edit&redlink=1" class="new" title="慈湖詩傳（页面不存在）">慈湖詩傳</a>》 - 《<a href="/w/index.php?title=%E7%BA%8C%E5%91%82%E6%B0%8F%E5%AE%B6%E5%A1%BE%E8%AE%80%E8%A9%A9%E8%A8%98&action=edit&redlink=1" class="new" title="續呂氏家塾讀詩記（页面不存在）">續呂氏家塾讀詩記</a>》 - 《<a href="/w/index.php?title=%E7%B5%9C%E9%BD%8B%E6%AF%9B%E8%A9%A9%E7%B6%93%E7%AD%B5%E8%AC%9B%E7%BE%A9&action=edit&redlink=1" class="new" title="絜齋毛詩經筵講義（页面不存在）">絜齋毛詩經筵講義</a>》 - 《<a href="/w/index.php?title=%E6%AF%9B%E8%A9%A9%E8%AC%9B%E7%BE%A9&action=edit&redlink=1" class="new" title="毛詩講義（页面不存在）">毛詩講義</a>》 - 《<a href="/w/index.php?title=%E8%A9%A9%E7%BA%98%E7%B7%92&action=edit&redlink=1" class="new" title="詩纘緒（页面不存在）">詩纘緒</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">禮類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%91%A8%E5%AE%98%E6%96%B0%E7%BE%A9&action=edit&redlink=1" class="new" title="周官新義（页面不存在）">周官新義</a>附考工記解》 - 《<a href="/w/index.php?title=%E5%91%A8%E5%AE%98%E7%B8%BD%E7%BE%A9&action=edit&redlink=1" class="new" title="周官總義（页面不存在）">周官總義</a>》 - 《<a href="/w/index.php?title=%E5%91%A8%E5%AE%98%E9%9B%86%E5%82%B3&action=edit&redlink=1" class="new" title="周官集傳（页面不存在）">周官集傳</a>》 - 《<a href="/w/index.php?title=%E5%84%80%E7%A6%AE%E9%9B%86%E9%87%8B&action=edit&redlink=1" class="new" title="儀禮集釋（页面不存在）">儀禮集釋</a>》 - 《<a href="/w/index.php?title=%E5%84%80%E7%A6%AE%E9%87%8B%E5%AE%AE&action=edit&redlink=1" class="new" title="儀禮釋宮（页面不存在）">儀禮釋宮</a>》<br />《<a href="/w/index.php?title=%E6%9C%88%E4%BB%A4%E8%A7%A3&action=edit&redlink=1" class="new" title="月令解（页面不存在）">月令解</a>》 - 《<a href="/w/index.php?title=%E8%92%99%E9%BD%8B%E4%B8%AD%E5%BA%B8%E8%AC%9B%E7%BE%A9&action=edit&redlink=1" class="new" title="蒙齋中庸講義（页面不存在）">蒙齋中庸講義</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">樂類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E7%91%9F%E8%AD%9C&action=edit&redlink=1" class="new" title="瑟譜（页面不存在）">瑟譜</a>》 - 《<a href="/w/index.php?title=%E9%9F%B6%E8%88%9E%E4%B9%9D%E6%88%90%E6%A8%82%E8%A3%9C&action=edit&redlink=1" class="new" title="韶舞九成樂補（页面不存在）">韶舞九成樂補</a>》 - 《<a href="/w/index.php?title=%E5%BE%8B%E5%91%82%E6%88%90%E6%9B%B8&action=edit&redlink=1" class="new" title="律呂成書（页面不存在）">律呂成書</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">春秋類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E9%87%8B%E4%BE%8B&action=edit&redlink=1" class="new" title="春秋釋例（页面不存在）">春秋釋例</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E5%B7%A6%E6%B0%8F%E5%82%B3%E7%BA%8C%E8%AA%AA&action=edit&redlink=1" class="new" title="春秋左氏傳續說（页面不存在）">春秋左氏傳續說</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E5%82%B3%E8%AA%AA%E4%BE%8B&action=edit&redlink=1" class="new" title="春秋傳說例（页面不存在）">春秋傳說例</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E8%BE%A8%E7%96%91&action=edit&redlink=1" class="new" title="春秋辨疑（页面不存在）">春秋辨疑</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E7%B6%93%E8%A7%A3&action=edit&redlink=1" class="new" title="春秋經解（页面不存在）">春秋經解</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E4%BE%8B%E8%A6%81&action=edit&redlink=1" class="new" title="春秋例要（页面不存在）">春秋例要</a>》<br />《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E9%80%9A%E8%A8%93&action=edit&redlink=1" class="new" title="春秋通訓（页面不存在）">春秋通訓</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E8%80%83&action=edit&redlink=1" class="new" title="春秋考（页面不存在）">春秋考</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E8%AE%9E&action=edit&redlink=1" class="new" title="春秋讞（页面不存在）">春秋讞</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E9%9B%86%E6%B3%A8&action=edit&redlink=1" class="new" title="春秋集注（页面不存在）">春秋集注</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E8%AC%9B%E7%BE%A9&action=edit&redlink=1" class="new" title="春秋講義（页面不存在）">春秋講義</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E8%AA%AA&action=edit&redlink=1" class="new" title="春秋說（页面不存在）">春秋說</a>》 - 《<a href="/w/index.php?title=%E6%98%A5%E7%A7%8B%E4%B8%89%E5%82%B3%E8%BE%A8%E7%96%91&action=edit&redlink=1" class="new" title="春秋三傳辨疑（页面不存在）">春秋三傳辨疑</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">其他</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%AD%9D%E7%B6%93%E8%BF%B0%E6%B3%A8&action=edit&redlink=1" class="new" title="孝經述注（页面不存在）">孝經述注</a>》 - 《<a href="/w/index.php?title=%E5%B0%8A%E5%AD%9F%E8%BE%A8&action=edit&redlink=1" class="new" title="尊孟辨（页面不存在）">尊孟辨</a>、續辨、別錄》 - 《<a href="/w/index.php?title=%E5%88%87%E9%9F%BB%E6%8C%87%E6%8E%8C%E5%9C%96&action=edit&redlink=1" class="new" title="切韻指掌圖（页面不存在）">切韻指掌圖</a>附撿例》</div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2" style=";text-align:center; background-color:#FFD700;"><div id="史部" style="font-size:110%;margin:0 5em">史部</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">正史類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E8%88%8A%E4%BA%94%E4%BB%A3%E5%8F%B2" class="mw-redirect" title="舊五代史">舊五代史</a>、目錄》 - 《<a href="/w/index.php?title=%E4%BA%94%E4%BB%A3%E5%8F%B2%E8%A8%98%E7%BA%82%E8%AA%A4&action=edit&redlink=1" class="new" title="五代史記纂誤（页面不存在）">五代史記纂誤</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">編年類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E7%BA%8C%E8%B3%87%E6%B2%BB%E9%80%9A%E9%91%91%E9%95%B7%E7%B7%A8" title="續資治通鑑長編">續資治通鑑長編</a>》 - 《<a href="/w/index.php?title=%E5%85%A9%E6%9C%9D%E7%B6%B1%E7%9B%AE%E5%82%99%E8%A6%81&action=edit&redlink=1" class="new" title="兩朝綱目備要（页面不存在）">兩朝綱目備要</a>》 - 《<a href="/w/index.php?title=%E8%A5%BF%E6%BC%A2%E7%B4%80%E5%B9%B4&action=edit&redlink=1" class="new" title="西漢紀年（页面不存在）">西漢紀年</a>》 - 《<a href="/wiki/%E4%B8%AD%E8%88%88%E5%B0%8F%E7%B4%80" title="中興小紀">中興小紀</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">別史雜史</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E6%9D%B1%E8%A7%80%E6%BC%A2%E8%A8%98" title="東觀漢記">東觀漢記</a>》 - 《<a href="/w/index.php?title=%E7%BA%8C%E5%BE%8C%E6%BC%A2%E6%9B%B8&action=edit&redlink=1" class="new" title="續後漢書（页面不存在）">續後漢書</a>》 - 《<a href="/w/index.php?title=%E5%92%B8%E6%B7%B3%E9%81%BA%E4%BA%8B&action=edit&redlink=1" class="new" title="咸淳遺事（页面不存在）">咸淳遺事</a>》 - 《<a href="/wiki/%E5%A4%A7%E9%87%91%E5%BC%94%E4%BC%90%E9%8C%84" class="mw-redirect" title="大金弔伐錄">大金弔伐錄</a>》 - 《<a href="/w/index.php?title=%E6%B1%9D%E5%8D%97%E9%81%BA%E4%BA%8B&action=edit&redlink=1" class="new" title="汝南遺事（页面不存在）">汝南遺事</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">傳記載記</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E6%85%B6%E5%85%83%E9%BB%A8%E7%A6%81" title="慶元黨禁">慶元黨禁</a>》 - 《<a href="/w/index.php?title=%E4%BA%AC%E5%8F%A3%E8%80%86%E8%88%8A%E5%82%B3&action=edit&redlink=1" class="new" title="京口耆舊傳（页面不存在）">京口耆舊傳</a>》 - 《<a href="/wiki/%E5%94%90%E6%89%8D%E5%AD%90%E5%82%B3" title="唐才子傳">唐才子傳</a>》 - 《<a href="/w/index.php?title=%E9%84%B4%E4%B8%AD%E8%A8%98&action=edit&redlink=1" class="new" title="鄴中記（页面不存在）">鄴中記</a>》 - 《<a href="/wiki/%E8%A0%BB%E6%9B%B8" class="mw-redirect" title="蠻書">蠻書</a>》 - 《<a href="/w/index.php?title=%E6%B1%9F%E5%8D%97%E9%A4%98%E8%BC%89&action=edit&redlink=1" class="new" title="江南餘載（页面不存在）">江南餘載</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">譜系</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E5%85%83%E5%92%8C%E5%A7%93%E7%BA%82" title="元和姓纂">元和姓纂</a>》 - 《<a href="/wiki/%E5%8F%A4%E4%BB%8A%E5%A7%93%E6%B0%8F%E4%B9%A6%E8%BE%A8%E8%AF%81" title="古今姓氏书辨证">古今姓氏書辨證</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">地理類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%B2%B3%E9%98%B2%E9%80%9A%E8%AD%B0&action=edit&redlink=1" class="new" title="河防通議（页面不存在）">河防通議</a>》 - 《<a href="/w/index.php?title=%E6%B2%BB%E6%B2%B3%E5%9C%96%E7%95%A5&action=edit&redlink=1" class="new" title="治河圖略（页面不存在）">治河圖略</a>》 - 《<a href="/wiki/%E5%B6%BA%E8%A1%A8%E9%8C%84%E7%95%B0" title="嶺表錄異">嶺表錄異</a>》 - 《<a href="/w/index.php?title=%E6%B2%B3%E6%9C%94%E8%A8%AA%E5%8F%A4%E8%A8%98&action=edit&redlink=1" class="new" title="河朔訪古記（页面不存在）">河朔訪古記</a>》 - 《<a href="/wiki/%E8%AB%B8%E8%95%83%E5%BF%97" class="mw-redirect" title="諸蕃志">諸蕃志</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">職官政書</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E9%BA%9F%E5%8F%B0%E6%95%85%E4%BA%8B&action=edit&redlink=1" class="new" title="麟台故事（页面不存在）">麟台故事</a>》 - 《<a href="/w/index.php?title=%E5%8D%97%E5%AE%8B%E9%A4%A8%E9%96%A3%E9%8C%84&action=edit&redlink=1" class="new" title="南宋館閣錄（页面不存在）">南宋館閣錄</a>》 - 《<a href="/w/index.php?title=%E5%8D%97%E5%AE%8B%E9%A4%A8%E9%96%A3%E7%BA%8C%E9%8C%84&action=edit&redlink=1" class="new" title="南宋館閣續錄（页面不存在）">南宋館閣續錄</a>》 - 《<a href="/w/index.php?title=%E5%B7%9E%E7%B8%A3%E6%8F%90%E7%B6%B1&action=edit&redlink=1" class="new" title="州縣提綱（页面不存在）">州縣提綱</a>》 - 《<a href="/wiki/%E5%AE%8B%E6%9C%9D%E4%BA%8B%E5%AF%A6" title="宋朝事實">宋朝事實</a>》<br />《<a href="/wiki/%E6%B1%89%E5%AE%98%E5%85%AD%E7%A7%8D" title="汉官六种">漢官舊儀</a>、補遺》《<a href="/w/index.php?title=%E5%BB%9F%E5%AD%B8%E5%85%B8%E7%A6%AE&action=edit&redlink=1" class="new" title="廟學典禮（页面不存在）">廟學典禮</a>》 - 《<a href="/w/index.php?title=%E8%AE%9C%E8%AB%96%E9%9B%86&action=edit&redlink=1" class="new" title="讜論集（页面不存在）">讜論集</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">金石史評</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%AF%B6%E5%88%BB%E9%A1%9E%E7%B7%A8&action=edit&redlink=1" class="new" title="寶刻類編（页面不存在）">寶刻類編</a>》 - 《<a href="/w/index.php?title=%E7%B6%93%E5%B9%84%E7%AE%A1%E8%A6%8B&action=edit&redlink=1" class="new" title="經幄管見（页面不存在）">經幄管見</a>》 - 《<a href="/w/index.php?title=%E8%88%8A%E8%81%9E%E8%AD%89%E8%AA%A4&action=edit&redlink=1" class="new" title="舊聞證誤（页面不存在）">舊聞證誤</a>》</div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2" style=";text-align:center; background-color:#FFD700;"><div id="子部" style="font-size:110%;margin:0 5em">子部</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">儒家類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E5%B8%9D%E7%AF%84" title="帝範">帝範</a>》 - 《<a href="/w/index.php?title=%E8%A2%81%E6%B0%8F%E4%B8%96%E7%AF%84&action=edit&redlink=1" class="new" title="袁氏世範（页面不存在）">袁氏世範</a>》 - 《<a href="/w/index.php?title=%E6%88%92%E5%AD%90%E9%80%9A%E9%8C%84&action=edit&redlink=1" class="new" title="戒子通錄（页面不存在）">戒子通錄</a>》 - 《<a href="/w/index.php?title=%E7%9F%A5%E8%A8%80%E9%99%84%E9%8C%84&action=edit&redlink=1" class="new" title="知言附錄（页面不存在）">知言附錄</a>》 - 《<a href="/w/index.php?title=%E6%98%8E%E6%9C%AC%E9%87%8B&action=edit&redlink=1" class="new" title="明本釋（页面不存在）">明本釋</a>》 - 《<a href="/w/index.php?title=%E5%B0%91%E5%84%80%E5%A4%96%E5%82%B3&action=edit&redlink=1" class="new" title="少儀外傳（页面不存在）">少儀外傳</a>》<br />《<a href="/w/index.php?title=%E9%A0%85%E6%B0%8F%E5%AE%B6%E8%AA%AA%E9%99%84%E9%8C%84&action=edit&redlink=1" class="new" title="項氏家說附錄（页面不存在）">項氏家說附錄</a>》 - 《<a href="/w/index.php?title=%E6%9C%B1%E5%AD%90%E8%AE%80%E6%9B%B8%E6%B3%95&action=edit&redlink=1" class="new" title="朱子讀書法（页面不存在）">朱子讀書法</a>》 - 《<a href="/w/index.php?title=%E5%AE%B6%E5%B1%B1%E5%9C%96%E6%9B%B8&action=edit&redlink=1" class="new" title="家山圖書（页面不存在）">家山圖書</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">法家農家</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E6%8A%98%E7%8D%84%E9%BE%9C%E9%91%91" title="折獄龜鑑">折獄龜鑑</a>》 - 《<a href="/wiki/%E5%86%9C%E6%A1%91%E8%BE%91%E8%A6%81" title="农桑辑要">農桑輯要</a>》 - 《<a href="/wiki/%E5%86%9C%E6%A1%91%E8%A1%A3%E9%A3%9F%E6%92%AE%E8%A6%81" title="农桑衣食撮要">農桑衣食撮要</a>》 - 《<a href="/wiki/%E7%8E%8B%E7%A5%AF%E5%86%9C%E4%B9%A6" title="王祯农书">農書</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; 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href="/w/index.php?title=%E5%85%A8%E7%94%9F%E6%8C%87%E8%BF%B7%E6%96%B9&action=edit&redlink=1" class="new" title="全生指迷方（页面不存在）">全生指迷方</a>》 - 《<a href="/w/index.php?title=%E8%A1%9B%E7%94%9F%E5%8D%81%E5%85%A8%E6%96%B9&action=edit&redlink=1" class="new" title="衛生十全方（页面不存在）">衛生十全方</a>》 - 《<a href="/w/index.php?title=%E5%A5%87%E7%96%BE%E6%96%B9&action=edit&redlink=1" class="new" title="奇疾方（页面不存在）">奇疾方</a>》 - 《<a href="/w/index.php?title=%E8%A1%9B%E6%BF%9F%E5%AF%B6%E6%9B%B8&action=edit&redlink=1" class="new" title="衛濟寶書（页面不存在）">衛濟寶書</a>》 - 《<a href="/w/index.php?title=%E5%A4%AA%E9%86%AB%E5%B1%80%E7%A8%8B%E6%96%87&action=edit&redlink=1" class="new" title="太醫局程文（页面不存在）">太醫局程文</a>》 - 《<a href="/w/index.php?title=%E7%94%A2%E8%82%B2%E5%AF%B6%E6%85%B6%E6%96%B9&action=edit&redlink=1" class="new" title="產育寶慶方（页面不存在）">產育寶慶方</a>》<br />《<a href="/w/index.php?title=%E9%9B%86%E9%A9%97%E8%83%8C%E7%96%BD%E6%96%B9&action=edit&redlink=1" class="new" title="集驗背疽方（页面不存在）">集驗背疽方</a>》 - 《<a href="/w/index.php?title=%E6%BF%9F%E7%94%9F%E6%96%B9&action=edit&redlink=1" class="new" title="濟生方（页面不存在）">濟生方</a>》 - 《<a href="/w/index.php?title=%E7%94%A2%E5%AF%B6%E8%AB%B8%E6%96%B9&action=edit&redlink=1" class="new" title="產寶諸方（页面不存在）">產寶諸方</a>》 - 《<a href="/w/index.php?title=%E6%95%91%E6%80%A5%E4%BB%99%E6%96%B9&action=edit&redlink=1" class="new" title="救急仙方（页面不存在）">救急仙方</a>》 - 《<a href="/w/index.php?title=%E7%91%9E%E7%AB%B9%E5%A0%82%E7%B6%93%E9%A9%97%E6%96%B9&action=edit&redlink=1" class="new" title="瑞竹堂經驗方（页面不存在）">瑞竹堂經驗方</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">天文演算</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%8E%9F%E6%9C%AC%E9%9D%A9%E8%B1%A1%E6%96%B0%E6%9B%B8&action=edit&redlink=1" class="new" title="原本革象新書（页面不存在）">原本革象新書</a>》 - 《<a href="/wiki/%E4%B9%9D%E7%AB%A0%E7%AE%97%E8%A1%93" class="mw-redirect" title="九章算術">九章算術</a>》 - 《<a href="/wiki/%E5%AD%99%E5%AD%90%E7%AE%97%E7%BB%8F" title="孙子算经">孫子算經</a>》 - 《<a href="/wiki/%E6%B5%B7%E5%B2%9B%E7%AE%97%E7%BB%8F" title="海岛算经">海島算經</a>》 - 《<a href="/wiki/%E4%BA%94%E6%9B%B9%E7%AE%97%E7%BB%8F" title="五曹算经">五曹算經</a>》<br />《<a href="/wiki/%E5%A4%8F%E4%BE%AF%E9%98%B3%E7%AE%97%E7%BB%8F" title="夏侯阳算经">夏侯陽算經</a>》 - 《<a href="/wiki/%E4%BA%94%E7%B6%93%E7%AE%97%E8%A1%93" title="五經算術">五經算術</a>》 - 《<a href="/wiki/%E6%95%B8%E5%AD%B8%E4%B9%9D%E7%AB%A0" class="mw-redirect" title="數學九章">數學九章</a>》 - 《<a class="mw-selflink selflink">益古演段</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">術數類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E7%9A%87%E6%A5%B5%E7%B6%93%E4%B8%96%E7%B4%A2%E9%9A%B1&action=edit&redlink=1" class="new" title="皇極經世索隱（页面不存在）">皇極經世索隱</a>》 - 《<a href="/w/index.php?title=%E5%A4%A7%E8%A1%8D%E7%B4%A2%E9%9A%B1&action=edit&redlink=1" class="new" title="大衍索隱（页面不存在）">大衍索隱</a>》 - 《<a href="/w/index.php?title=%E6%9C%88%E6%B3%A2%E6%B4%9E%E4%B8%AD%E8%A8%98&action=edit&redlink=1" class="new" title="月波洞中記（页面不存在）">月波洞中記</a>》 - 《<a href="/w/index.php?title=%E5%91%BD%E6%9B%B8%E6%9D%8E%E8%99%9B%E4%B8%AD%E6%B3%A8&action=edit&redlink=1" class="new" title="命書李虛中注（页面不存在）">命書李虛中注</a>》 - 《<a href="/w/index.php?title=%E7%8E%89%E7%85%A7%E5%AE%9A%E7%9C%9F%E7%B6%93&action=edit&redlink=1" class="new" title="玉照定真經（页面不存在）">玉照定真經</a>》<br />《<a href="/w/index.php?title=%E7%8E%89%E7%AE%A1%E7%85%A7%E7%A5%9E%E5%B1%80&action=edit&redlink=1" class="new" title="玉管照神局（页面不存在）">玉管照神局</a>》 - 《<a href="/w/index.php?title=%E5%A4%AA%E6%B8%85%E7%A5%9E%E9%91%91&action=edit&redlink=1" class="new" title="太清神鑑（页面不存在）">太清神鑑</a>》 - 《<a href="/w/index.php?title=%E5%BE%90%E6%B0%8F%E7%8F%9E%E7%90%AD%E5%AD%90%E8%B3%A6%E6%B3%A8&action=edit&redlink=1" class="new" title="徐氏珞琭子賦注（页面不存在）">徐氏珞琭子賦注</a>》 - 《<a href="/w/index.php?title=%E4%B8%89%E5%91%BD%E6%8C%87%E8%BF%B7%E8%B3%A6&action=edit&redlink=1" class="new" title="三命指迷賦（页面不存在）">三命指迷賦</a>》 - 《<a href="/w/index.php?title=%E6%98%9F%E5%91%BD%E7%B8%BD%E6%8B%AC&action=edit&redlink=1" class="new" title="星命總括（页面不存在）">星命總括</a>》 - 《<a href="/w/index.php?title=%E4%BA%BA%E5%80%AB%E5%A4%A7%E7%B5%B1%E8%B3%A6&action=edit&redlink=1" class="new" title="人倫大統賦（页面不存在）">人倫大統賦</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">藝術類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%AF%B6%E7%9C%9F%E9%BD%8B%E6%B3%95%E6%9B%B8%E8%B4%8A&action=edit&redlink=1" class="new" title="寶真齋法書贊（页面不存在）">寶真齋法書贊</a>》 - 《<a href="/w/index.php?title=%E7%AB%B9%E8%AD%9C&action=edit&redlink=1" class="new" title="竹譜（页面不存在）">竹譜</a>》 - 《<a href="/w/index.php?title=%E8%A1%8D%E6%A5%B5&action=edit&redlink=1" class="new" title="衍極（页面不存在）">衍極</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">雜家類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/wiki/%E9%87%91%E6%A8%93%E5%AD%90" title="金樓子">金樓子</a>》 - 《<a href="/w/index.php?title=%E8%98%87%E6%B0%8F%E6%BC%94%E7%BE%A9&action=edit&redlink=1" class="new" title="蘇氏演義（页面不存在）">蘇氏演義</a>》 - 《<a href="/w/index.php?title=%E9%9B%B2%E7%A9%80%E9%9B%9C%E8%A8%98&action=edit&redlink=1" class="new" title="雲穀雜記（页面不存在）">雲穀雜記</a>》 - 《<a href="/w/index.php?title=%E7%94%95%E7%89%96%E9%96%92%E8%A9%95&action=edit&redlink=1" class="new" title="甕牖閒評（页面不存在）">甕牖閒評</a>》 - 《<a href="/w/index.php?title=%E5%9D%A6%E9%BD%8B%E9%80%9A%E7%B7%A8&action=edit&redlink=1" class="new" title="坦齋通編（页面不存在）">坦齋通編</a>》 - 《<a href="/w/index.php?title=%E8%80%83%E5%8F%A4%E8%B3%AA%E7%96%91&action=edit&redlink=1" class="new" title="考古質疑（页面不存在）">考古質疑</a>》<br />《<a href="/w/index.php?title=%E6%BD%81%E5%B7%9D%E8%AA%9E%E5%B0%8F&action=edit&redlink=1" class="new" title="潁川語小（页面不存在）">潁川語小</a>》 - 《<a href="/w/index.php?title=%E6%84%9B%E6%97%A5%E9%BD%8B%E5%8F%A2%E9%88%94&action=edit&redlink=1" class="new" title="愛日齋叢鈔（页面不存在）">愛日齋叢鈔</a>》 - 《<a href="/w/index.php?title=%E5%91%82%E6%B0%8F%E9%9B%9C%E8%A8%98&action=edit&redlink=1" class="new" title="呂氏雜記（页面不存在）">呂氏雜記</a>》 - 《<a href="/w/index.php?title=%E7%9F%B3%E6%9E%97%E7%87%95%E8%AA%9E%E8%80%83%E7%95%B0&action=edit&redlink=1" class="new" title="石林燕語考異（页面不存在）">石林燕語考異</a>》 - 《<a href="/w/index.php?title=%E5%B8%B8%E8%AB%87&action=edit&redlink=1" class="new" title="常談（页面不存在）">常談</a>》 - 《<a href="/w/index.php?title=%E5%AF%86%E9%BD%8B%E7%AD%86%E8%A8%98%E7%BA%8C%E7%AD%86%E8%A8%98&action=edit&redlink=1" class="new" title="密齋筆記續筆記（页面不存在）">密齋筆記續筆記</a>》<br />《<a href="/w/index.php?title=%E7%90%B4%E5%A0%82%E8%AB%AD%E4%BF%97%E7%B7%A8&action=edit&redlink=1" class="new" title="琴堂諭俗編（页面不存在）">琴堂諭俗編</a>》 - 《<a href="/w/index.php?title=%E6%95%AC%E9%BD%8B%E5%8F%A4%E4%BB%8A%E6%B3%A8&action=edit&redlink=1" class="new" title="敬齋古今注（页面不存在）">敬齋古今注</a>》 - 《<a href="/w/index.php?title=%E6%97%A5%E8%81%9E%E9%8C%84&action=edit&redlink=1" class="new" title="日聞錄（页面不存在）">日聞錄</a>》 - 《<a href="/w/index.php?title=%E8%A8%80%E8%A1%8C%E9%BE%9C%E9%91%91&action=edit&redlink=1" class="new" title="言行龜鑑（页面不存在）">言行龜鑑</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">類書類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E5%8F%A4%E4%BB%8A%E5%90%8C%E5%A7%93%E5%90%8D%E9%8C%84&action=edit&redlink=1" class="new" title="古今同姓名錄（页面不存在）">古今同姓名錄</a>》 - 《<a href="/w/index.php?title=%E5%AF%A6%E8%B3%93%E9%8C%84&action=edit&redlink=1" class="new" title="實賓錄（页面不存在）">實賓錄</a>》 - 《<a href="/w/index.php?title=%E5%B8%9D%E7%8E%8B%E7%B6%93%E4%B8%96%E5%9C%96%E8%AD%9C&action=edit&redlink=1" class="new" title="帝王經世圖譜（页面不存在）">帝王經世圖譜</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">道家小說</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%96%87%E5%AD%90%E7%BA%98%E7%BE%A9&action=edit&redlink=1" class="new" title="文子纘義（页面不存在）">文子纘義</a>》 - 《<a href="/wiki/%E6%B1%9F%E6%B7%AE%E5%BC%82%E4%BA%BA%E5%BD%95" title="江淮异人录">江淮異人錄</a>》 - 《<a href="/w/index.php?title=%E8%B3%88%E6%B0%8F%E8%AB%87%E9%8C%84&action=edit&redlink=1" class="new" title="賈氏談錄（页面不存在）">賈氏談錄</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E9%BD%8B%E8%A8%98%E4%BA%8B&action=edit&redlink=1" class="new" title="東齋記事（页面不存在）">東齋記事</a>》 - 《<a href="/w/index.php?title=%E7%8F%8D%E5%B8%AD%E6%94%BE%E8%AB%87&action=edit&redlink=1" class="new" title="珍席放談（页面不存在）">珍席放談</a>》 - 《<a href="/wiki/%E5%94%90%E8%AA%9E%E6%9E%97" title="唐語林">唐語林</a>》<br />《<a href="/wiki/%E8%90%8D%E6%B4%B2%E5%8F%AF%E8%AB%87" title="萍洲可談">萍洲可談</a>》 - 《<a href="/w/index.php?title=%E9%AB%98%E9%BD%8B%E6%BC%AB%E9%8C%84&action=edit&redlink=1" class="new" title="高齋漫錄（页面不存在）">高齋漫錄</a>》 - 《<a href="/w/index.php?title=%E5%BC%B5%E6%B0%8F%E5%8F%AF%E6%9B%B8&action=edit&redlink=1" class="new" title="張氏可書（页面不存在）">張氏可書</a>》 - 《<a href="/w/index.php?title=%E6%AD%A5%E9%87%8C%E5%AE%A2%E8%AB%87&action=edit&redlink=1" class="new" title="步里客談（页面不存在）">步里客談</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E5%8D%97%E7%B4%80%E8%81%9E&action=edit&redlink=1" class="new" title="東南紀聞（页面不存在）">東南紀聞</a>》</div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px"><div style="padding:0em 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="collapsible-title navbox-title" colspan="2" style=";text-align:center; background-color:#FFD700;"><div id="集部" style="font-size:110%;margin:0 5em">集部</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">總集類</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E6%B1%9F%E6%B9%96%E5%B0%8F%E9%9B%86&action=edit&redlink=1" class="new" title="江湖小集（页面不存在）">江湖小集</a>》 - 《<a href="/w/index.php?title=%E6%B1%9F%E6%B9%96%E5%BE%8C%E9%9B%86&action=edit&redlink=1" class="new" title="江湖後集（页面不存在）">江湖後集</a>》 - 《<a href="/w/index.php?title=%E6%96%87%E9%81%B8%E9%A1%8F%E9%AE%91%E8%AC%9D%E8%A9%A9%E8%A9%95&action=edit&redlink=1" class="new" title="文選顏鮑謝詩評（页面不存在）">文選顏鮑謝詩評</a>》 - 《<a href="/wiki/%E5%AE%9B%E9%99%B5%E7%BE%A4%E8%8B%B1%E9%9B%86" title="宛陵群英集">宛陵群英集</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">別集類</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E9%80%8D%E9%81%99%E9%9B%86&action=edit&redlink=1" class="new" title="逍遙集（页面不存在）">逍遙集</a>》 - 《<a href="/w/index.php?title=%E5%8D%97%E9%99%BD%E9%9B%86&action=edit&redlink=1" class="new" title="南陽集（页面不存在）">南陽集</a>》 - 《<a href="/w/index.php?title=%E6%96%87%E8%8E%8A%E9%9B%86&action=edit&redlink=1" class="new" title="文莊集（页面不存在）">文莊集</a>》 - 《<a href="/w/index.php?title=%E5%AE%8B%E5%85%83%E6%86%B2%E9%9B%86&action=edit&redlink=1" class="new" title="宋元憲集（页面不存在）">宋元憲集</a>》 - 《<a href="/w/index.php?title=%E5%AE%8B%E6%99%AF%E6%96%87%E9%9B%86&action=edit&redlink=1" class="new" title="宋景文集（页面不存在）">宋景文集</a>、補遺、附錄》<br />《<a href="/w/index.php?title=%E6%96%87%E6%81%AD%E9%9B%86&action=edit&redlink=1" class="new" title="文恭集（页面不存在）">文恭集</a>、補遺》 - 《<a href="/w/index.php?title=%E7%A5%A0%E9%83%A8%E9%9B%86&action=edit&redlink=1" class="new" title="祠部集（页面不存在）">祠部集</a>》 - 《<a href="/w/index.php?title=%E8%8F%AF%E9%99%BD%E9%9B%86&action=edit&redlink=1" class="new" title="華陽集（页面不存在）">華陽集</a>、附錄》 - 《<a href="/w/index.php?title=%E9%87%91%E6%B0%8F%E6%96%87%E9%9B%86&action=edit&redlink=1" class="new" title="金氏文集（页面不存在）">金氏文集</a>》 - 《<a href="/w/index.php?title=%E5%85%AC%E6%98%AF%E9%9B%86&action=edit&redlink=1" class="new" title="公是集（页面不存在）">公是集</a>》 - 《<a href="/w/index.php?title=%E5%BD%AD%E5%9F%8E%E9%9B%86&action=edit&redlink=1" class="new" title="彭城集（页面不存在）">彭城集</a>》<br />《<a href="/w/index.php?title=%E9%83%BD%E5%AE%98%E9%9B%86&action=edit&redlink=1" class="new" title="都官集（页面不存在）">都官集</a>》 - 《<a href="/w/index.php?title=%E9%84%96%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="鄖溪集（页面不存在）">鄖溪集</a>》 - 《<a href="/w/index.php?title=%E6%B7%A8%E5%BE%B7%E9%9B%86&action=edit&redlink=1" class="new" title="淨德集（页面不存在）">淨德集</a>》 - 《<a href="/w/index.php?title=%E5%BF%A0%E8%82%85%E9%9B%86&action=edit&redlink=1" class="new" title="忠肅集（页面不存在）">忠肅集</a>》 - 《<a href="/w/index.php?title=%E7%8E%8B%E9%AD%8F%E5%85%AC%E9%9B%86&action=edit&redlink=1" class="new" title="王魏公集（页面不存在）">王魏公集</a>》 - 《<a href="/w/index.php?title=%E6%BF%9F%E5%8D%97%E9%9B%86&action=edit&redlink=1" class="new" title="濟南集（页面不存在）">濟南集</a>》 - 《<a href="/wiki/%E7%94%BB%E5%A2%81%E9%9B%86" title="画墁集">畫墁集</a>》<br />《<a href="/w/index.php?title=%E9%99%B6%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="陶山集（页面不存在）">陶山集</a>》 - 《<a href="/w/index.php?title=%E9%9B%B2%E6%BA%AA%E5%B1%85%E5%A3%AB%E9%9B%86&action=edit&redlink=1" class="new" title="雲溪居士集（页面不存在）">雲溪居士集</a>》 - 《<a href="/w/index.php?title=%E6%BD%8F%E6%B0%B4%E9%9B%86&action=edit&redlink=1" class="new" title="潏水集（页面不存在）">潏水集</a>》 - 《<a href="/w/index.php?title=%E5%AD%B8%E6%98%93%E9%9B%86&action=edit&redlink=1" class="new" title="學易集（页面不存在）">學易集</a>》 - 《<a href="/w/index.php?title=%E8%A5%BF%E5%8F%B0%E9%9B%86&action=edit&redlink=1" class="new" title="西台集（页面不存在）">西台集</a>》 - 《<a href="/w/index.php?title=%E5%8C%97%E6%B9%98%E9%9B%86&action=edit&redlink=1" class="new" title="北湘集（页面不存在）">北湘集</a>》<br />《<a href="/w/index.php?title=%E6%BA%AA%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="溪堂集（页面不存在）">溪堂集</a>》 - 《<a href="/w/index.php?title=%E6%97%A5%E6%B6%89%E5%9C%92%E9%9B%86&action=edit&redlink=1" class="new" title="日涉園集（页面不存在）">日涉園集</a>》 - 《<a href="/w/index.php?title=%E7%81%8C%E5%9C%92%E9%9B%86&action=edit&redlink=1" class="new" title="灌園集（页面不存在）">灌園集</a>》 - 《<a href="/w/index.php?title=%E6%91%9B%E6%96%87%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="摛文堂集（页面不存在）">摛文堂集</a>、附錄》 - 《<a href="/w/index.php?title=%E8%A5%84%E9%99%B5%E9%9B%86&action=edit&redlink=1" class="new" title="襄陵集（页面不存在）">襄陵集</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="東堂集（页面不存在）">東堂集</a>》<br />《<a href="/w/index.php?title=%E6%B5%AE%E6%B2%9A%E9%9B%86&action=edit&redlink=1" class="new" title="浮沚集（页面不存在）">浮沚集</a>》 - 《<a href="/w/index.php?title=%E7%AB%B9%E9%9A%B1%E7%95%B8%E5%A3%AB%E9%9B%86&action=edit&redlink=1" class="new" title="竹隱畸士集（页面不存在）">竹隱畸士集</a>》 - 《<a href="/w/index.php?title=%E6%B4%AA%E9%BE%9C%E7%88%B6%E9%9B%86&action=edit&redlink=1" class="new" title="洪龜父集（页面不存在）">洪龜父集</a>》 - 《<a href="/w/index.php?title=%E8%B7%A8%E9%BC%87%E9%9B%86&action=edit&redlink=1" class="new" title="跨鼇集（页面不存在）">跨鼇集</a>》 - 《<a href="/w/index.php?title=%E5%BF%A0%E6%B9%A3%E9%9B%86&action=edit&redlink=1" class="new" title="忠湣集（页面不存在）">忠湣集</a>》 - 《<a href="/w/index.php?title=%E5%88%9D%E5%AF%AE%E9%9B%86&action=edit&redlink=1" class="new" title="初寮集（页面不存在）">初寮集</a>》<br />《<a href="/w/index.php?title=%E6%A9%AB%E5%A1%98%E9%9B%86&action=edit&redlink=1" class="new" title="橫塘集（页面不存在）">橫塘集</a>》 - 《<a href="/w/index.php?title=%E8%80%81%E5%9C%83%E9%9B%86&action=edit&redlink=1" class="new" title="老圃集（页面不存在）">老圃集</a>》 - 《<a href="/w/index.php?title=%E4%B8%B9%E9%99%BD%E9%9B%86&action=edit&redlink=1" class="new" title="丹陽集（页面不存在）">丹陽集</a>》 - 《<a href="/w/index.php?title=%E6%AF%97%E9%99%B5%E9%9B%86&action=edit&redlink=1" class="new" title="毗陵集（页面不存在）">毗陵集</a>》 - 《<a href="/w/index.php?title=%E6%B5%AE%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="浮溪集（页面不存在）">浮溪集</a>》 - 《<a href="/w/index.php?title=%E8%8E%8A%E7%B0%A1%E9%9B%86&action=edit&redlink=1" class="new" title="莊簡集（页面不存在）">莊簡集</a>》 - 《<a href="/w/index.php?title=%E6%AD%A3%E5%BE%B7%E6%96%87%E9%9B%86&action=edit&redlink=1" class="new" title="正德文集（页面不存在）">正德文集</a>》<br />《<a href="/w/index.php?title=%E6%9D%B1%E7%AA%97%E9%9B%86&action=edit&redlink=1" class="new" title="東窗集（页面不存在）">東窗集</a>》 - 《<a href="/w/index.php?title=%E5%BF%A0%E6%83%A0%E9%9B%86&action=edit&redlink=1" class="new" title="忠惠集（页面不存在）">忠惠集</a>、附錄》 - 《<a href="/w/index.php?title=%E6%99%99%E6%BA%AA%E5%B1%85%E5%A3%AB%E9%9B%86&action=edit&redlink=1" class="new" title="晙溪居士集（页面不存在）">晙溪居士集</a>》 - 《<a href="/w/index.php?title=%E5%BF%A0%E7%A9%86%E9%9B%86&action=edit&redlink=1" class="new" title="忠穆集（页面不存在）">忠穆集</a>》 - 《<a href="/w/index.php?title=%E7%B4%AB%E5%BE%AE%E9%9B%86&action=edit&redlink=1" class="new" title="紫微集（页面不存在）">紫微集</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E7%89%9F%E9%9B%86&action=edit&redlink=1" class="new" title="東牟集（页面不存在）">東牟集</a>》<br />《<a href="/w/index.php?title=%E7%9B%B8%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="相山集（页面不存在）">相山集</a>》 - 《<a href="/w/index.php?title=%E4%B8%89%E9%A4%98%E9%9B%86&action=edit&redlink=1" class="new" title="三餘集（页面不存在）">三餘集</a>》 - 《<a href="/w/index.php?title=%E5%A4%A7%E9%9A%B1%E9%9B%86&action=edit&redlink=1" class="new" title="大隱集（页面不存在）">大隱集</a>》 - 《<a href="/w/index.php?title=%E9%84%B1%E9%99%BD%E9%9B%86&action=edit&redlink=1" class="new" title="鄱陽集（页面不存在）">鄱陽集</a>》 - 《<a href="/w/index.php?title=%E6%BE%B9%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="澹齋集（页面不存在）">澹齋集</a>》 - 《<a href="/w/index.php?title=%E7%81%8A%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="灊山集（页面不存在）">灊山集</a>》 - 《<a href="/w/index.php?title=%E9%9B%B2%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="雲溪集（页面不存在）">雲溪集</a>》<br />《<a href="/w/index.php?title=%E5%8C%97%E6%B5%B7%E9%9B%86&action=edit&redlink=1" class="new" title="北海集（页面不存在）">北海集</a>、附錄》 - 《<a href="/w/index.php?title=%E5%B4%A7%E5%BA%B5%E9%9B%86&action=edit&redlink=1" class="new" title="崧庵集（页面不存在）">崧庵集</a>》 - 《<a href="/w/index.php?title=%E8%97%8F%E6%B5%B7%E5%B1%85%E5%A3%AB%E9%9B%86&action=edit&redlink=1" class="new" title="藏海居士集（页面不存在）">藏海居士集</a>》 - 《<a href="/w/index.php?title=%E8%8C%B6%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="茶山集（页面不存在）">茶山集</a>》 - 《<a href="/w/index.php?title=%E8%98%86%E5%B7%9D%E6%AD%B8%E4%BE%86%E9%9B%86&action=edit&redlink=1" class="new" title="蘆川歸來集（页面不存在）">蘆川歸來集</a>、附錄》<br />《<a href="/w/index.php?title=%E9%84%A7%E7%B4%B3%E4%BC%AF%E9%9B%86&action=edit&redlink=1" class="new" title="鄧紳伯集（页面不存在）">鄧紳伯集</a>》 - 《<a href="/w/index.php?title=%E6%B5%AE%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="浮山集（页面不存在）">浮山集</a>》 - 《<a href="/w/index.php?title=%E6%B9%96%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="湖山集（页面不存在）">湖山集</a>》 - 《<a href="/w/index.php?title=%E6%96%87%E5%AE%9A%E9%9B%86&action=edit&redlink=1" class="new" title="文定集（页面不存在）">文定集</a>》 - 《<a href="/w/index.php?title=%E5%94%AF%E5%AE%A4%E9%9B%86&action=edit&redlink=1" class="new" title="唯室集（页面不存在）">唯室集</a>、附錄》 - 《<a href="/w/index.php?title=%E6%BC%A2%E6%BF%B1%E9%9B%86&action=edit&redlink=1" class="new" title="漢濱集（页面不存在）">漢濱集</a>》<br />《<a href="/w/index.php?title=%E9%9B%B2%E8%8E%8A%E9%9B%86&action=edit&redlink=1" class="new" title="雲莊集（页面不存在）">雲莊集</a>》 - 《<a href="/w/index.php?title=%E7%AB%B9%E8%BB%92%E9%9B%9C%E8%91%97&action=edit&redlink=1" class="new" title="竹軒雜著（页面不存在）">竹軒雜著</a>》 - 《<a href="/w/index.php?title=%E9%9B%AA%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="雪山集（页面不存在）">雪山集</a>》 - 《<a href="/w/index.php?title=%E6%96%B9%E8%88%9F%E9%9B%86&action=edit&redlink=1" class="new" title="方舟集（页面不存在）">方舟集</a>》 - 《<a href="/w/index.php?title=%E9%A6%99%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="香山集（页面不存在）">香山集</a>》 - 《<a href="/w/index.php?title=%E5%AE%AE%E6%95%99%E9%9B%86&action=edit&redlink=1" class="new" title="宮教集（页面不存在）">宮教集</a>》 - 《<a href="/w/index.php?title=%E8%92%99%E9%9A%B1%E9%9B%86&action=edit&redlink=1" class="new" title="蒙隱集（页面不存在）">蒙隱集</a>》<br />《<a href="/w/index.php?title=%E5%AE%9A%E5%BA%B5%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="定庵類稿（页面不存在）">定庵類稿</a>》 - 《<a href="/w/index.php?title=%E6%BE%B9%E8%BB%92%E9%9B%86&action=edit&redlink=1" class="new" title="澹軒集（页面不存在）">澹軒集</a>》 - 《<a href="/w/index.php?title=%E5%B0%8A%E7%99%BD%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="尊白堂集（页面不存在）">尊白堂集</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E5%A1%98%E9%9B%86&action=edit&redlink=1" class="new" title="東塘集（页面不存在）">東塘集</a>》 - 《<a href="/w/index.php?title=%E6%B6%89%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="涉齋集（页面不存在）">涉齋集</a>》 - 《<a href="/w/index.php?title=%E4%B9%BE%E9%81%93%E7%A8%BF&action=edit&redlink=1" class="new" title="乾道稿（页面不存在）">乾道稿</a>》 - 《<a href="/w/index.php?title=%E6%B7%B3%E7%86%99%E7%A8%BF&action=edit&redlink=1" class="new" title="淳熙稿（页面不存在）">淳熙稿</a>》<br />《<a href="/w/index.php?title=%E7%AB%A0%E6%B3%89%E7%A8%BF&action=edit&redlink=1" class="new" title="章泉稿（页面不存在）">章泉稿</a>》 - 《<a href="/w/index.php?title=%E6%AD%A2%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="止堂集（页面不存在）">止堂集</a>》 - 《<a href="/w/index.php?title=%E7%B7%A3%E7%9D%A3%E9%9B%86&action=edit&redlink=1" class="new" title="緣督集（页面不存在）">緣督集</a>》 - 《<a href="/w/index.php?title=%E7%B5%9C%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="絜齋集（页面不存在）">絜齋集</a>》 - 《<a href="/w/index.php?title=%E5%AE%9A%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="定齋集（页面不存在）">定齋集</a>》 - 《<a href="/w/index.php?title=%E4%B9%9D%E8%8F%AF%E9%9B%86&action=edit&redlink=1" class="new" title="九華集（页面不存在）">九華集</a>、附錄》<br />《<a href="/w/index.php?title=%E6%87%89%E9%BD%8B%E9%9B%9C%E8%91%97&action=edit&redlink=1" class="new" title="應齋雜著（页面不存在）">應齋雜著</a>》 - 《<a href="/w/index.php?title=%E8%8A%B8%E5%BA%B5%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="芸庵類稿（页面不存在）">芸庵類稿</a>》 - 《<a href="/w/index.php?title=%E5%8D%97%E6%B9%96%E9%9B%86&action=edit&redlink=1" class="new" title="南湖集（页面不存在）">南湖集</a>》 - 《<a href="/w/index.php?title=%E5%8D%97%E6%BE%97%E7%94%B2%E4%B9%99%E7%A8%BF&action=edit&redlink=1" class="new" title="南澗甲乙稿（页面不存在）">南澗甲乙稿</a>》 - 《<a href="/w/index.php?title=%E8%87%AA%E9%B3%B4%E9%9B%86&action=edit&redlink=1" class="new" title="自鳴集（页面不存在）">自鳴集</a>》 - 《<a href="/w/index.php?title=%E5%AE%A2%E4%BA%AD%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="客亭類稿（页面不存在）">客亭類稿</a>》<br />《<a href="/w/index.php?title=%E8%93%AE%E5%B3%B0%E9%9B%86&action=edit&redlink=1" class="new" title="蓮峰集（页面不存在）">蓮峰集</a>》 - 《<a href="/w/index.php?title=%E7%87%AD%E6%B9%96%E9%9B%86&action=edit&redlink=1" class="new" title="燭湖集（页面不存在）">燭湖集</a>、附編》 - 《<a href="/w/index.php?title=%E6%98%8C%E7%A9%80%E9%9B%86&action=edit&redlink=1" class="new" title="昌穀集（页面不存在）">昌穀集</a>》 - 《<a href="/w/index.php?title=%E7%9C%81%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="省齋集（页面不存在）">省齋集</a>》 - 《<a href="/w/index.php?title=%E5%B1%B1%E6%88%BF%E9%9B%86&action=edit&redlink=1" class="new" title="山房集（页面不存在）">山房集</a>》 - 《<a href="/w/index.php?title=%E5%BE%8C%E6%A8%82%E9%9B%86&action=edit&redlink=1" class="new" title="後樂集（页面不存在）">後樂集</a>》 - 《<a href="/w/index.php?title=%E6%80%A7%E5%96%84%E5%A0%82%E7%A8%BF&action=edit&redlink=1" class="new" title="性善堂稿（页面不存在）">性善堂稿</a>》<br />《<a href="/w/index.php?title=%E6%9D%B1%E5%B1%B1%E8%A9%A9%E9%81%B8&action=edit&redlink=1" class="new" title="東山詩選（页面不存在）">東山詩選</a>》 - 《<a href="/w/index.php?title=%E8%92%99%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="蒙齋集（页面不存在）">蒙齋集</a>》 - 《<a href="/w/index.php?title=%E9%B6%B4%E6%9E%97%E9%9B%86&action=edit&redlink=1" class="new" title="鶴林集（页面不存在）">鶴林集</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E6%BE%97%E9%9B%86&action=edit&redlink=1" class="new" title="東澗集（页面不存在）">東澗集</a>》 - 《<a href="/w/index.php?title=%E6%B5%A3%E5%B7%9D%E9%9B%86&action=edit&redlink=1" class="new" title="浣川集（页面不存在）">浣川集</a>》 - 《<a href="/w/index.php?title=%E6%BC%81%E5%A2%85%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="漁墅類稿（页面不存在）">漁墅類稿</a>》<br />《<a href="/w/index.php?title=%E6%BB%84%E6%B4%B2%E5%A1%B5%E7%BC%B6%E7%B7%A8&action=edit&redlink=1" class="new" title="滄洲塵缶編（页面不存在）">滄洲塵缶編</a>》 - 《<a href="/w/index.php?title=%E6%B3%A0%E7%84%B6%E9%BD%8B%E8%A9%A9%E9%9B%86&action=edit&redlink=1" class="new" title="泠然齋詩集（页面不存在）">泠然齋詩集</a>》 - 《<a href="/w/index.php?title=%E6%BE%97%E6%B3%89%E9%9B%86&action=edit&redlink=1" class="new" title="澗泉集（页面不存在）">澗泉集</a>》 - 《<a href="/w/index.php?title=%E7%AF%94%E7%AA%97%E9%9B%86&action=edit&redlink=1" class="new" title="篔窗集（页面不存在）">篔窗集</a>》 - 《<a href="/w/index.php?title=%E8%87%9E%E8%BB%92%E9%9B%86&action=edit&redlink=1" class="new" title="臞軒集（页面不存在）">臞軒集</a>》 - 《<a href="/w/index.php?title=%E6%95%9D%E5%B8%9A%E7%A8%BF%E7%95%A5&action=edit&redlink=1" class="new" title="敝帚稿略（页面不存在）">敝帚稿略</a>》 - 《<a href="/w/index.php?title=%E5%BA%B8%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="庸齋集（页面不存在）">庸齋集</a>》<br />《<a href="/w/index.php?title=%E5%BD%9D%E9%BD%8B%E6%96%87%E7%B7%A8&action=edit&redlink=1" class="new" title="彝齋文編（页面不存在）">彝齋文編</a>》 - 《<a href="/w/index.php?title=%E5%BC%B5%E6%B0%8F%E6%8B%99%E8%BB%92%E9%9B%86&action=edit&redlink=1" class="new" title="張氏拙軒集（页面不存在）">張氏拙軒集</a>》 - 《<a href="/w/index.php?title=%E9%9D%88%E5%B7%96%E9%9B%86&action=edit&redlink=1" class="new" title="靈巖集（页面不存在）">靈巖集</a>》 - 《<a href="/w/index.php?title=%E6%A5%B3%E5%9F%9C%E9%9B%86&action=edit&redlink=1" class="new" title="楳埜集（页面不存在）">楳埜集</a>》 - 《<a href="/w/index.php?title=%E6%81%A5%E5%A0%82%E5%AD%98%E7%A8%BF&action=edit&redlink=1" class="new" title="恥堂存稿（页面不存在）">恥堂存稿</a>》 - 《<a href="/w/index.php?title=%E5%AD%97%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="字溪集（页面不存在）">字溪集</a>、附錄》<br />《<a href="/w/index.php?title=%E6%BD%9B%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="潛山集（页面不存在）">潛山集</a>》 - 《<a href="/w/index.php?title=%E9%A0%88%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="須溪集（页面不存在）">須溪集</a>》 - 《<a href="/w/index.php?title=%E8%91%A6%E8%88%AA%E6%BC%AB%E9%81%8A%E7%A8%BF&action=edit&redlink=1" class="new" title="葦航漫遊稿（页面不存在）">葦航漫遊稿</a>》 - 《<a href="/w/index.php?title=%E7%A2%A7%E6%A2%A7%E7%8E%A9%E8%8A%B3%E9%9B%86&action=edit&redlink=1" class="new" title="碧梧玩芳集（页面不存在）">碧梧玩芳集</a>》 - 《<a href="/w/index.php?title=%E9%96%AC%E9%A2%A8%E9%9B%86&action=edit&redlink=1" class="new" title="閬風集（页面不存在）">閬風集</a>》 - 《<a href="/w/index.php?title=%E7%A7%8B%E8%81%B2%E9%9B%86&action=edit&redlink=1" class="new" title="秋聲集（页面不存在）">秋聲集</a>》<br />《<a href="/w/index.php?title=%E5%BB%AC%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="廬山集（页面不存在）">廬山集</a>》 - 《<a href="/w/index.php?title=%E8%8B%B1%E6%BA%AA%E9%9B%86&action=edit&redlink=1" class="new" title="英溪集（页面不存在）">英溪集</a>》 - 《<a href="/w/index.php?title=%E5%89%87%E5%A0%82%E9%9B%86&action=edit&redlink=1" class="new" title="則堂集（页面不存在）">則堂集</a>》 - 《<a href="/w/index.php?title=%E7%99%BE%E6%AD%A3%E9%9B%86&action=edit&redlink=1" class="new" title="百正集（页面不存在）">百正集</a>》 - 《<a href="/w/index.php?title=%E8%87%AA%E5%A0%82%E5%AD%98%E7%A8%BF&action=edit&redlink=1" class="new" title="自堂存稿（页面不存在）">自堂存稿</a>》 - 《<a href="/w/index.php?title=%E5%BF%83%E6%B3%89%E5%AD%B8%E8%A9%A9%E7%A8%BF&action=edit&redlink=1" class="new" title="心泉學詩稿（页面不存在）">心泉學詩稿</a>》 - 《<a href="/w/index.php?title=%E6%8B%99%E8%BB%92%E9%9B%86&action=edit&redlink=1" class="new" title="拙軒集（页面不存在）">拙軒集</a>》<br />《<a href="/w/index.php?title=%E6%AD%B8%E7%94%B0%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="歸田類稿（页面不存在）">歸田類稿</a>》 - 《<a href="/w/index.php?title=%E5%89%A9%E8%AA%9E&action=edit&redlink=1" class="new" title="剩語（页面不存在）">剩語</a>》 - 《<a href="/w/index.php?title=%E7%89%86%E6%9D%B1%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="牆東類稿（页面不存在）">牆東類稿</a>》 - 《<a href="/w/index.php?title=%E9%9D%92%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="青山集（页面不存在）">青山集</a>》 - 《<a href="/w/index.php?title=%E7%B4%AB%E5%B1%B1%E5%A4%A7%E5%85%A8%E9%9B%86&action=edit&redlink=1" class="new" title="紫山大全集（页面不存在）">紫山大全集</a>》 - 《<a href="/w/index.php?title=%E5%B0%8F%E4%BA%A8%E9%9B%86&action=edit&redlink=1" class="new" title="小亨集（页面不存在）">小亨集</a>》 - 《<a href="/w/index.php?title=%E9%9D%92%E5%B4%96%E9%9B%86&action=edit&redlink=1" class="new" title="青崖集（页面不存在）">青崖集</a>》<br />《<a href="/w/index.php?title=%E9%A4%8A%E5%90%BE%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="養吾齋集（页面不存在）">養吾齋集</a>》 - 《<a href="/w/index.php?title=%E9%9B%99%E6%BA%AA%E9%86%89%E9%9A%B1%E9%9B%86&action=edit&redlink=1" class="new" title="雙溪醉隱集（页面不存在）">雙溪醉隱集</a>》 - 《<a href="/w/index.php?title=%E6%9D%B1%E5%BA%B5%E9%9B%86&action=edit&redlink=1" class="new" title="東庵集（页面不存在）">東庵集</a>》 - 《<a href="/w/index.php?title=%E7%95%8F%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="畏齋集（页面不存在）">畏齋集</a>》 - 《<a href="/w/index.php?title=%E7%89%A7%E5%BA%B5%E6%96%87%E9%9B%86&action=edit&redlink=1" class="new" title="牧庵文集（页面不存在）">牧庵文集</a>》 - 《<a href="/w/index.php?title=%E9%99%B3%E7%A7%8B%E5%B2%A9%E8%A9%A9%E9%9B%86&action=edit&redlink=1" class="new" title="陳秋岩詩集（页面不存在）">陳秋岩詩集</a>》<br />《<a href="/w/index.php?title=%E8%98%AD%E8%BB%92%E9%9B%86&action=edit&redlink=1" class="new" title="蘭軒集（页面不存在）">蘭軒集</a>》 - 《<a href="/w/index.php?title=%E8%A5%BF%E5%B2%A9%E9%9B%86&action=edit&redlink=1" class="new" title="西岩集（页面不存在）">西岩集</a>》 - 《<a href="/w/index.php?title=%E4%B8%AD%E5%BA%B5%E9%9B%86&action=edit&redlink=1" class="new" title="中庵集（页面不存在）">中庵集</a>》 - 《<a href="/w/index.php?title=%E7%8E%8B%E6%96%87%E5%BF%A0%E9%9B%86&action=edit&redlink=1" class="new" title="王文忠集（页面不存在）">王文忠集</a>》 - 《<a href="/w/index.php?title=%E5%8B%A4%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="勤齋集（页面不存在）">勤齋集</a>》 - 《<a href="/w/index.php?title=%E6%A6%98%E5%BA%B5%E9%9B%86&action=edit&redlink=1" class="new" title="榘庵集（页面不存在）">榘庵集</a>》 - 《<a href="/w/index.php?title=%E4%BC%8A%E6%BF%B1%E9%9B%86&action=edit&redlink=1" class="new" title="伊濱集（页面不存在）">伊濱集</a>》<br />《<a href="/w/index.php?title=%E7%A9%8D%E9%BD%8B%E9%9B%86&action=edit&redlink=1" class="new" title="積齋集（页面不存在）">積齋集</a>》 - 《<a href="/w/index.php?title=%E7%93%A2%E6%B3%89%E5%90%9F%E7%A8%BF&action=edit&redlink=1" class="new" title="瓢泉吟稿（页面不存在）">瓢泉吟稿</a>》 - 《<a href="/w/index.php?title=%E5%AD%90%E6%B7%B5%E8%A9%A9%E9%9B%86&action=edit&redlink=1" class="new" title="子淵詩集（页面不存在）">子淵詩集</a>》 - 《<a href="/w/index.php?title=%E7%BE%BD%E5%BA%AD%E9%9B%86&action=edit&redlink=1" class="new" title="羽庭集（页面不存在）">羽庭集</a>》 - 《<a href="/w/index.php?title=%E5%90%BE%E5%90%BE%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="吾吾類稿（页面不存在）">吾吾類稿</a>》 - 《<a href="/w/index.php?title=%E6%80%A7%E6%83%85%E9%9B%86&action=edit&redlink=1" class="new" title="性情集（页面不存在）">性情集</a>》 - 《<a href="/w/index.php?title=%E6%A8%97%E9%9A%B1%E9%9B%86&action=edit&redlink=1" class="new" title="樗隱集（页面不存在）">樗隱集</a>》<br />《<a href="/w/index.php?title=%E5%AF%86%E5%BA%B5%E9%9B%86&action=edit&redlink=1" class="new" title="密庵集（页面不存在）">密庵集</a>》 - 《<a href="/wiki/%E8%87%A8%E5%AE%89%E9%9B%86" title="臨安集">臨安集</a>》 - 《<a href="/w/index.php?title=%E8%97%8D%E5%B1%B1%E9%9B%86&action=edit&redlink=1" class="new" title="藍山集（页面不存在）">藍山集</a>》 - 《<a href="/w/index.php?title=%E8%97%8D%E6%BE%97%E9%9B%86&action=edit&redlink=1" class="new" title="藍澗集（页面不存在）">藍澗集</a>》 - 《<a href="/w/index.php?title=%E6%A8%97%E5%BA%B5%E9%A1%9E%E7%A8%BF&action=edit&redlink=1" class="new" title="樗庵類稿（页面不存在）">樗庵類稿</a>》 - 《<a href="/w/index.php?title=%E9%B5%9D%E6%B9%96%E9%9B%86&action=edit&redlink=1" class="new" title="鵝湖集（页面不存在）">鵝湖集</a>》</div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;text-align:center; background-color:#FFD700;">詩文評</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0px;text-align:center;"><div style="padding:0em 0.25em">《<a href="/w/index.php?title=%E8%97%8F%E6%B5%B7%E8%A9%A9%E8%A9%B1&action=edit&redlink=1" class="new" title="藏海詩話（页面不存在）">藏海詩話</a>》 - 《<a href="/w/index.php?title=%E7%92%B0%E6%BA%AA%E8%A9%A9%E8%A9%B1&action=edit&redlink=1" class="new" title="環溪詩話（页面不存在）">環溪詩話</a>》 - 《<a href="/w/index.php?title=%E9%A4%98%E5%B8%AB%E9%8C%84&action=edit&redlink=1" class="new" title="餘師錄（页面不存在）">餘師錄</a>》 - 《<a href="/w/index.php?title=%E6%96%87%E7%AB%A0%E7%B2%BE%E7%BE%A9&action=edit&redlink=1" 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