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aria-label="ਦਿੱਖ"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="ਸਫ਼ੇ ਦੇ ਫੋਂਟ ਦਾ ਆਕਾਰ, ਚੌਡ਼ਾਈ ਅਤੇ ਰੰਗ ਦੀ ਦਿੱਖ ਨੂੰ ਬਦਲੋ" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="ਦਿੱਖ" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">ਦਿੱਖ</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_pa.wikipedia.org&uselang=pa" class=""><span>ਦਾਨ</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%96%E0%A8%BE%E0%A8%A4%E0%A8%BE_%E0%A8%AC%E0%A8%A3%E0%A8%BE%E0%A8%93&returnto=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" title="ਤੁਹਾਨੂੰ ਖ਼ਾਤਾ ਬਣਾਉਣ ਤੋਂ ਬਾਅਦ ਦਾਖ਼ਲ ਕਰਨ ਦੀ ਸਲਾਹ ਦਿੱਤੀ ਜਾਂਦੀ ਹੈ; ਹਾਲਾਂਕਿ ਇਹ ਲਾਜ਼ਮੀ ਨਹੀਂ" class=""><span>ਖ਼ਾਤਾ ਬਣਾਓ</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=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%B5%E0%A8%B0%E0%A8%A4%E0%A9%8B%E0%A8%82%E0%A8%95%E0%A8%BE%E0%A8%B0_%E0%A8%B2%E0%A8%BE%E0%A8%97%E0%A8%87%E0%A8%A8&returnto=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" title="ਤੁਹਾਨੂੰ ਦਾਖ਼ਲ ਹੋਣ ਲਈ ਪ੍ਰੇਰਿਆ ਜਾਂਦਾ ਹੈ; ਪਰ ਇਹ ਕੋਈ ਲਾਜ਼ਮੀ ਨਹੀਂ [o]" accesskey="o" class=""><span>ਦਾਖ਼ਲ ਹੋਵੋ</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="ਹੋਰ ਚੋਣਾਂ" > <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="ਨਿੱਜੀ ਸੰਦ" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ਨਿੱਜੀ ਸੰਦ</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_pa.wikipedia.org&uselang=pa"><span>ਦਾਨ</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%96%E0%A8%BE%E0%A8%A4%E0%A8%BE_%E0%A8%AC%E0%A8%A3%E0%A8%BE%E0%A8%93&returnto=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" title="ਤੁਹਾਨੂੰ ਖ਼ਾਤਾ ਬਣਾਉਣ ਤੋਂ ਬਾਅਦ ਦਾਖ਼ਲ ਕਰਨ ਦੀ ਸਲਾਹ ਦਿੱਤੀ ਜਾਂਦੀ ਹੈ; ਹਾਲਾਂਕਿ ਇਹ ਲਾਜ਼ਮੀ ਨਹੀਂ"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>ਖ਼ਾਤਾ ਬਣਾਓ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%B5%E0%A8%B0%E0%A8%A4%E0%A9%8B%E0%A8%82%E0%A8%95%E0%A8%BE%E0%A8%B0_%E0%A8%B2%E0%A8%BE%E0%A8%97%E0%A8%87%E0%A8%A8&returnto=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" title="ਤੁਹਾਨੂੰ ਦਾਖ਼ਲ ਹੋਣ ਲਈ ਪ੍ਰੇਰਿਆ ਜਾਂਦਾ ਹੈ; ਪਰ ਇਹ ਕੋਈ ਲਾਜ਼ਮੀ ਨਹੀਂ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>ਦਾਖ਼ਲ ਹੋਵੋ</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"> ਬਾਹਰ ਹੋਏ ਸੰਪਾਦਕਾਂ ਲਈ ਸਫ਼ੇ <a href="/wiki/%E0%A8%AE%E0%A8%A6%E0%A8%A6:%E0%A8%9C%E0%A8%BE%E0%A8%A3-%E0%A8%AA%E0%A8%9B%E0%A8%BE%E0%A8%A3" aria-label="ਸੰਪਾਦਨ ਬਾਰੇ ਹੋਰ ਜਾਣੋ"><span>ਹੋਰ ਜਾਣੋ</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/%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%AE%E0%A9%87%E0%A8%B0%E0%A9%87_%E0%A8%AF%E0%A9%8B%E0%A8%97%E0%A8%A6%E0%A8%BE%E0%A8%A8" title="A list of edits made from this IP address [y]" accesskey="y"><span>ਯੋਗਦਾਨ</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%AE%E0%A9%87%E0%A8%B0%E0%A9%80_%E0%A8%9A%E0%A8%B0%E0%A8%9A%E0%A8%BE" title="ਇਸ IP ਪਤੇ ਤੋਂ ਹੋਈਆਂ ਸੋਧਾਂ ਬਾਰੇ ਗੱਲਬਾਤ [n]" accesskey="n"><span>ਗੱਲ-ਬਾਤ</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="ਸਾਈਟ"> <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="ਸਮੱਗਰੀ" 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">ਸਮੱਗਰੀ</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ਸਾਈਡਬਾਰ 'ਤੇ ਜਾਓ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ਲੁਕਾਓ</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">ਸ਼ੁਰੂਆਤ</div> </a> </li> <li id="toc-ਬਣਤਰ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ਬਣਤਰ"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>ਬਣਤਰ</span> </div> </a> <ul id="toc-ਬਣਤਰ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ਭਾਰਤ_ਵਿੱਚ_ਅਬੈਕਸ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ਭਾਰਤ_ਵਿੱਚ_ਅਬੈਕਸ"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>ਭਾਰਤ ਵਿੱਚ ਅਬੈਕਸ</span> </div> </a> <ul id="toc-ਭਾਰਤ_ਵਿੱਚ_ਅਬੈਕਸ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ਮਹੱਤਵ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ਮਹੱਤਵ"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>ਮਹੱਤਵ</span> </div> </a> <ul id="toc-ਮਹੱਤਵ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ਗਣਿਤ_ਦੀਆਂ_ਸਮੱਸਿਆਵਾਂ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ਗਣਿਤ_ਦੀਆਂ_ਸਮੱਸਿਆਵਾਂ"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>ਗਣਿਤ ਦੀਆਂ ਸਮੱਸਿਆਵਾਂ</span> </div> </a> <ul id="toc-ਗਣਿਤ_ਦੀਆਂ_ਸਮੱਸਿਆਵਾਂ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ਹਵਾਲੇ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ਹਵਾਲੇ"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>ਹਵਾਲੇ</span> </div> </a> <ul id="toc-ਹਵਾਲੇ-sublist" class="vector-toc-list"> </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="ਸਮੱਗਰੀ" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <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="ਸਮੱਗਰੀ ਦੀ ਸਾਰਣੀ ਨੂੰ ਟੌਗਲ ਕਰੋ" > <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">ਸਮੱਗਰੀ ਦੀ ਸਾਰਣੀ ਨੂੰ ਟੌਗਲ ਕਰੋ</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">ਅਬੈਕਸ</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="ਕਿਸੇ ਹੋਰ ਭਾਸ਼ਾ ਵਿੱਚ ਲੇਖ 'ਤੇ ਜਾਓ। 109 ਭਾਸ਼ਾਵਾਂ ਵਿੱਚ ਉਪਲਬਧ ਹੈ" > <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-109" 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">109 ਭਾਸ਼ਾਵਾਂ</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Abakus" title="Abakus – ਅਫ਼ਰੀਕੀ" lang="af" hreflang="af" data-title="Abakus" data-language-autonym="Afrikaans" data-language-local-name="ਅਫ਼ਰੀਕੀ" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Abaco" title="Abaco – ਅਰਾਗੋਨੀ" lang="an" hreflang="an" data-title="Abaco" data-language-autonym="Aragonés" data-language-local-name="ਅਰਾਗੋਨੀ" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%B9%D8%AF%D8%A7%D8%AF" title="معداد – ਅਰਬੀ" lang="ar" hreflang="ar" data-title="معداد" data-language-autonym="العربية" data-language-local-name="ਅਰਬੀ" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%8F%E0%A6%AC%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%9B" title="এবাকাছ – ਅਸਾਮੀ" lang="as" hreflang="as" data-title="এবাকাছ" data-language-autonym="অসমীয়া" data-language-local-name="ਅਸਾਮੀ" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/%C3%81bacu" title="Ábacu – ਅਸਤੂਰੀ" lang="ast" hreflang="ast" data-title="Ábacu" data-language-autonym="Asturianu" data-language-local-name="ਅਸਤੂਰੀ" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Jakhu%C3%B1a" title="Jakhuña – ਅਯਮਾਰਾ" lang="ay" hreflang="ay" data-title="Jakhuña" data-language-autonym="Aymar aru" data-language-local-name="ਅਯਮਾਰਾ" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Abak" title="Abak – ਅਜ਼ਰਬਾਈਜਾਨੀ" lang="az" hreflang="az" data-title="Abak" data-language-autonym="Azərbaycanca" data-language-local-name="ਅਜ਼ਰਬਾਈਜਾਨੀ" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%86%D8%A4%D8%B1%D8%AA%DA%A9%D9%87" title="چؤرتکه – ਦੱਖਣੀ ਅਜ਼ੇਰੀ" lang="azb" hreflang="azb" data-title="چؤرتکه" data-language-autonym="تۆرکجه" data-language-local-name="ਦੱਖਣੀ ਅਜ਼ੇਰੀ" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Abakus" title="Abakus – ਕੇਂਦਰੀ ਬਿਕਲ" lang="bcl" hreflang="bcl" data-title="Abakus" data-language-autonym="Bikol Central" data-language-local-name="ਕੇਂਦਰੀ ਬਿਕਲ" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਬੇਲਾਰੂਸੀ" lang="be" hreflang="be" data-title="Абак" data-language-autonym="Беларуская" data-language-local-name="ਬੇਲਾਰੂਸੀ" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਬੇਲਾਰੂਸੀ (ਰਵਾਇਤੀ)" lang="be-tarask" hreflang="be-tarask" data-title="Абак" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="ਬੇਲਾਰੂਸੀ (ਰਵਾਇਤੀ)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA_(%D1%81%D0%BC%D0%B5%D1%82%D0%B0%D0%BB%D0%BE)" title="Абак (сметало) – ਬੁਲਗਾਰੀਆਈ" lang="bg" hreflang="bg" data-title="Абак (сметало)" data-language-autonym="Български" data-language-local-name="ਬੁਲਗਾਰੀਆਈ" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Abakus" title="Abakus – ਬਿਸਲਾਮਾ" lang="bi" hreflang="bi" data-title="Abakus" data-language-autonym="Bislama" data-language-local-name="ਬਿਸਲਾਮਾ" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%85%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%AC%E0%A6%BE%E0%A6%95%E0%A6%BE%E0%A6%B8" title="অ্যাবাকাস – ਬੰਗਾਲੀ" lang="bn" hreflang="bn" data-title="অ্যাবাকাস" data-language-autonym="বাংলা" data-language-local-name="ਬੰਗਾਲੀ" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Abakus_(ra%C4%8Dunaljka)" title="Abakus (računaljka) – ਬੋਸਨੀਆਈ" lang="bs" hreflang="bs" data-title="Abakus (računaljka)" data-language-autonym="Bosanski" data-language-local-name="ਬੋਸਨੀਆਈ" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BC%D0%BF%D0%B8%D0%BD" title="Сампин – ਰੂਸ ਬੁਰਿਆਤ" lang="bxr" hreflang="bxr" data-title="Сампин" data-language-autonym="Буряад" data-language-local-name="ਰੂਸ ਬੁਰਿਆਤ" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/%C3%80bac" title="Àbac – ਕੈਟਾਲਾਨ" lang="ca" hreflang="ca" data-title="Àbac" data-language-autonym="Català" data-language-local-name="ਕੈਟਾਲਾਨ" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C3%A1ung-bu%C3%A0ng" title="Sáung-buàng – ਚੀਨੀ (ਮਿਨ ਡੌਂਗ)" lang="cdo" hreflang="cdo" data-title="Sáung-buàng" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="ਚੀਨੀ (ਮਿਨ ਡੌਂਗ)" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Po%C4%8D%C3%ADtadlo" title="Počítadlo – ਚੈੱਕ" lang="cs" hreflang="cs" data-title="Počítadlo" data-language-autonym="Čeština" data-language-local-name="ਚੈੱਕ" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਚੁਵਾਸ਼" lang="cv" hreflang="cv" data-title="Абак" data-language-autonym="Чӑвашла" data-language-local-name="ਚੁਵਾਸ਼" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Abacws" title="Abacws – ਵੈਲਸ਼" lang="cy" hreflang="cy" data-title="Abacws" data-language-autonym="Cymraeg" data-language-local-name="ਵੈਲਸ਼" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Abacus_(regnemaskine)" title="Abacus (regnemaskine) – ਡੈਨਿਸ਼" lang="da" hreflang="da" data-title="Abacus (regnemaskine)" data-language-autonym="Dansk" data-language-local-name="ਡੈਨਿਸ਼" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Abakus_(Rechenhilfsmittel)" title="Abakus (Rechenhilfsmittel) – ਜਰਮਨ" lang="de" hreflang="de" data-title="Abakus (Rechenhilfsmittel)" data-language-autonym="Deutsch" data-language-local-name="ਜਰਮਨ" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%86%CE%B2%CE%B1%CE%BA%CE%B1%CF%82" title="Άβακας – ਯੂਨਾਨੀ" lang="el" hreflang="el" data-title="Άβακας" data-language-autonym="Ελληνικά" data-language-local-name="ਯੂਨਾਨੀ" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Abacus" title="Abacus – ਅੰਗਰੇਜ਼ੀ" lang="en" hreflang="en" data-title="Abacus" data-language-autonym="English" data-language-local-name="ਅੰਗਰੇਜ਼ੀ" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Abako_(me%C4%A5anika_kalkulilo)" title="Abako (meĥanika kalkulilo) – ਇਸਪੇਰਾਂਟੋ" lang="eo" hreflang="eo" data-title="Abako (meĥanika kalkulilo)" data-language-autonym="Esperanto" data-language-local-name="ਇਸਪੇਰਾਂਟੋ" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/%C3%81baco" title="Ábaco – ਸਪੇਨੀ" lang="es" hreflang="es" data-title="Ábaco" data-language-autonym="Español" data-language-local-name="ਸਪੇਨੀ" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Abakus" title="Abakus – ਇਸਟੋਨੀਆਈ" lang="et" hreflang="et" data-title="Abakus" data-language-autonym="Eesti" data-language-local-name="ਇਸਟੋਨੀਆਈ" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Abako" title="Abako – ਬਾਸਕ" lang="eu" hreflang="eu" data-title="Abako" data-language-autonym="Euskara" data-language-local-name="ਬਾਸਕ" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DA%86%D8%B1%D8%AA%DA%A9%D9%87" title="چرتکه – ਫ਼ਾਰਸੀ" lang="fa" hreflang="fa" data-title="چرتکه" data-language-autonym="فارسی" data-language-local-name="ਫ਼ਾਰਸੀ" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Helmitaulu" title="Helmitaulu – ਫਿਨਿਸ਼" lang="fi" hreflang="fi" data-title="Helmitaulu" data-language-autonym="Suomi" data-language-local-name="ਫਿਨਿਸ਼" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Abaque_(calcul)" title="Abaque (calcul) – ਫਰਾਂਸੀਸੀ" lang="fr" hreflang="fr" data-title="Abaque (calcul)" data-language-autonym="Français" data-language-local-name="ਫਰਾਂਸੀਸੀ" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Abacas" title="Abacas – ਆਇਰਸ਼" lang="ga" hreflang="ga" data-title="Abacas" data-language-autonym="Gaeilge" data-language-local-name="ਆਇਰਸ਼" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E7%AE%97%E7%9B%A4" title="算盤 – ਚੀਨੀ ਗਾਨ" lang="gan" hreflang="gan" data-title="算盤" data-language-autonym="贛語" data-language-local-name="ਚੀਨੀ ਗਾਨ" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Bouly%C3%A9" title="Boulyé – ਗੂਈਆਨੀਸ ਕਰੀਓਲ ਫਰੈਂਚ" lang="gcr" hreflang="gcr" data-title="Boulyé" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="ਗੂਈਆਨੀਸ ਕਰੀਓਲ ਫਰੈਂਚ" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/%C3%81baco" title="Ábaco – ਗੈਲਿਸ਼ਿਅਨ" lang="gl" hreflang="gl" data-title="Ábaco" data-language-autonym="Galego" data-language-local-name="ਗੈਲਿਸ਼ਿਅਨ" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-glk mw-list-item"><a href="https://glk.wikipedia.org/wiki/%DA%86%DB%8A%D8%B1%D8%AA%D9%8A%DA%A9%D8%A7" title="چۊرتيکا – ਗਿਲਾਕੀ" lang="glk" hreflang="glk" data-title="چۊرتيکا" data-language-autonym="گیلکی" data-language-local-name="ਗਿਲਾਕੀ" class="interlanguage-link-target"><span>گیلکی</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AE%E0%AA%A3%E0%AA%95%E0%AA%BE%E0%AA%98%E0%AB%8B%E0%AA%A1%E0%AB%80" title="મણકાઘોડી – ਗੁਜਰਾਤੀ" lang="gu" hreflang="gu" data-title="મણકાઘોડી" data-language-autonym="ગુજરાતી" data-language-local-name="ਗੁਜਰਾਤੀ" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%A9%D7%91%D7%95%D7%A0%D7%99%D7%99%D7%94" title="חשבונייה – ਹਿਬਰੂ" lang="he" hreflang="he" data-title="חשבונייה" data-language-autonym="עברית" data-language-local-name="ਹਿਬਰੂ" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%97%E0%A4%BF%E0%A4%A8%E0%A4%A4%E0%A4%BE%E0%A4%B0%E0%A4%BE" title="गिनतारा – ਹਿੰਦੀ" lang="hi" hreflang="hi" data-title="गिनतारा" data-language-autonym="हिन्दी" data-language-local-name="ਹਿੰਦੀ" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Abak" title="Abak – ਸਰਬੋ-ਕ੍ਰੋਏਸ਼ੀਅਨ" lang="hr" hreflang="hr" data-title="Abak" data-language-autonym="Hrvatski" data-language-local-name="ਸਰਬੋ-ਕ੍ਰੋਏਸ਼ੀਅਨ" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Abakusz" title="Abakusz – ਹੰਗਰੀਆਈ" lang="hu" hreflang="hu" data-title="Abakusz" data-language-autonym="Magyar" data-language-local-name="ਹੰਗਰੀਆਈ" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%A2%D5%A1%D5%AF_(%D5%BF%D5%A1%D5%AD%D5%BF%D5%A1%D5%AF)" title="Աբակ (տախտակ) – ਅਰਮੀਨੀਆਈ" lang="hy" hreflang="hy" data-title="Աբակ (տախտակ)" data-language-autonym="Հայերեն" data-language-local-name="ਅਰਮੀਨੀਆਈ" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Abaco" title="Abaco – ਇੰਟਰਲਿੰਗੁਆ" lang="ia" hreflang="ia" data-title="Abaco" data-language-autonym="Interlingua" data-language-local-name="ਇੰਟਰਲਿੰਗੁਆ" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Swipoa" title="Swipoa – ਇੰਡੋਨੇਸ਼ੀਆਈ" lang="id" hreflang="id" data-title="Swipoa" data-language-autonym="Bahasa Indonesia" data-language-local-name="ਇੰਡੋਨੇਸ਼ੀਆਈ" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Abako" title="Abako – ਇਡੂ" lang="io" hreflang="io" data-title="Abako" data-language-autonym="Ido" data-language-local-name="ਇਡੂ" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Talnagrind" title="Talnagrind – ਆਈਸਲੈਂਡਿਕ" lang="is" hreflang="is" data-title="Talnagrind" data-language-autonym="Íslenska" data-language-local-name="ਆਈਸਲੈਂਡਿਕ" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Abaco" title="Abaco – ਇਤਾਲਵੀ" lang="it" hreflang="it" data-title="Abaco" data-language-autonym="Italiano" data-language-local-name="ਇਤਾਲਵੀ" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%A2%E3%83%90%E3%82%AB%E3%82%B9" title="アバカス – ਜਪਾਨੀ" lang="ja" hreflang="ja" data-title="アバカス" data-language-autonym="日本語" data-language-local-name="ਜਪਾਨੀ" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Abakos" title="Abakos – ਜਾਮਾਈਕਨ ਕਰੀਓਲ ਅੰਗਰੇਜ਼ੀ" lang="jam" hreflang="jam" data-title="Abakos" data-language-autonym="Patois" data-language-local-name="ਜਾਮਾਈਕਨ ਕਰੀਓਲ ਅੰਗਰੇਜ਼ੀ" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Simpoa" title="Simpoa – ਜਾਵਾਨੀਜ਼" lang="jv" hreflang="jv" data-title="Simpoa" data-language-autonym="Jawa" data-language-local-name="ਜਾਵਾਨੀਜ਼" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%90%E1%83%91%E1%83%90%E1%83%99%E1%83%98" title="აბაკი – ਜਾਰਜੀਆਈ" lang="ka" hreflang="ka" data-title="აბაკი" data-language-autonym="ქართული" data-language-local-name="ਜਾਰਜੀਆਈ" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Abakus" title="Abakus – ਕਰਾਕਲਪਾਕ" lang="kaa" hreflang="kaa" data-title="Abakus" data-language-autonym="Qaraqalpaqsha" data-language-local-name="ਕਰਾਕਲਪਾਕ" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/Abacus" title="Abacus – ਕਿਕੂਯੂ" lang="ki" hreflang="ki" data-title="Abacus" data-language-autonym="Gĩkũyũ" data-language-local-name="ਕਿਕੂਯੂ" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਕਜ਼ਾਖ਼" lang="kk" hreflang="kk" data-title="Абак" data-language-autonym="Қазақша" data-language-local-name="ਕਜ਼ਾਖ਼" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%80%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%85%E1%9F%8B%E1%9E%82%E1%9E%B7%E1%9E%8F%E1%9E%9B%E1%9F%81%E1%9E%81" title="ក្បាច់គិតលេខ – ਖਮੇਰ" lang="km" hreflang="km" data-title="ក្បាច់គិតលេខ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="ਖਮੇਰ" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%85%E0%B2%AC%E0%B3%8D%E0%B2%AF%E0%B2%BE%E0%B2%95%E0%B2%B8%E0%B3%8D%E2%80%8C" title="ಅಬ್ಯಾಕಸ್‌ – ਕੰਨੜ" lang="kn" hreflang="kn" data-title="ಅಬ್ಯಾಕಸ್‌" data-language-autonym="ಕನ್ನಡ" data-language-local-name="ਕੰਨੜ" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A3%BC%ED%8C%90" title="주판 – ਕੋਰੀਆਈ" lang="ko" hreflang="ko" data-title="주판" data-language-autonym="한국어" data-language-local-name="ਕੋਰੀਆਈ" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%DA%AF%D9%90%D9%86%D8%AA%D8%A7%D8%B1%D9%95" title="گِنتارٕ – ਕਸ਼ਮੀਰੀ" lang="ks" hreflang="ks" data-title="گِنتارٕ" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="ਕਸ਼ਮੀਰੀ" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Абак (математика) – ਕਿਰਗੀਜ਼" lang="ky" hreflang="ky" data-title="Абак (математика)" data-language-autonym="Кыргызча" data-language-local-name="ਕਿਰਗੀਜ਼" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Abacus" title="Abacus – ਲਾਤੀਨੀ" lang="la" hreflang="la" data-title="Abacus" data-language-autonym="Latina" data-language-local-name="ਲਾਤੀਨੀ" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Abaco" title="Abaco – ਲਿੰਗੂਆ ਫਰਾਂਸਾ ਨੋਵਾ" lang="lfn" hreflang="lfn" data-title="Abaco" data-language-autonym="Lingua Franca Nova" data-language-local-name="ਲਿੰਗੂਆ ਫਰਾਂਸਾ ਨੋਵਾ" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/T%C3%A8lraam" title="Tèlraam – ਲਿਮਬੁਰਗੀ" lang="li" hreflang="li" data-title="Tèlraam" data-language-autonym="Limburgs" data-language-local-name="ਲਿਮਬੁਰਗੀ" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%A5%E0%BA%B9%E0%BA%81%E0%BA%84%E0%BA%B4%E0%BA%94" title="ລູກຄິດ – ਲਾਓ" lang="lo" hreflang="lo" data-title="ລູກຄິດ" data-language-autonym="ລາວ" data-language-local-name="ਲਾਓ" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Abakas" title="Abakas – ਲਿਥੁਆਨੀਅਨ" lang="lt" hreflang="lt" data-title="Abakas" data-language-autonym="Lietuvių" data-language-local-name="ਲਿਥੁਆਨੀਅਨ" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Skait%C4%ABk%C4%BCi" title="Skaitīkļi – ਲਾਤੀਵੀ" lang="lv" hreflang="lv" data-title="Skaitīkļi" data-language-autonym="Latviešu" data-language-local-name="ਲਾਤੀਵੀ" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D0%BC%D0%B5%D1%82%D0%B0%D0%BB%D0%BA%D0%B0" title="Сметалка – ਮੈਕਡੋਨੀਆਈ" lang="mk" hreflang="mk" data-title="Сметалка" data-language-autonym="Македонски" data-language-local-name="ਮੈਕਡੋਨੀਆਈ" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AE%E0%B4%A3%E0%B4%BF%E0%B4%9A%E0%B5%8D%E0%B4%9A%E0%B4%9F%E0%B5%8D%E0%B4%9F%E0%B4%82" title="മണിച്ചട്ടം – ਮਲਿਆਲਮ" lang="ml" hreflang="ml" data-title="മണിച്ചട്ടം" data-language-autonym="മലയാളം" data-language-local-name="ਮਲਿਆਲਮ" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BC%D0%BF%D0%B8%D0%BD" title="Сампин – ਮੰਗੋਲੀ" lang="mn" hreflang="mn" data-title="Сампин" data-language-autonym="Монгол" data-language-local-name="ਮੰਗੋਲੀ" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Sempoa" title="Sempoa – ਮਲਯ" lang="ms" hreflang="ms" data-title="Sempoa" data-language-autonym="Bahasa Melayu" data-language-local-name="ਮਲਯ" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/%C3%81baco" title="Ábaco – ਮਿਰਾਂਡੀ" lang="mwl" hreflang="mwl" data-title="Ábaco" data-language-autonym="Mirandés" data-language-local-name="ਮਿਰਾਂਡੀ" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%85%E0%A4%AC%E0%A4%BE%E0%A4%95%E0%A4%B8" title="अबाकस – ਨੇਪਾਲੀ" lang="ne" hreflang="ne" data-title="अबाकस" data-language-autonym="नेपाली" data-language-local-name="ਨੇਪਾਲੀ" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Abacus_(rekentuig)" title="Abacus (rekentuig) – ਡੱਚ" lang="nl" hreflang="nl" data-title="Abacus (rekentuig)" data-language-autonym="Nederlands" data-language-local-name="ਡੱਚ" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kuleramme" title="Kuleramme – ਨਾਰਵੇਜਿਆਈ ਨਿਓਨੌਰਸਕ" lang="nn" hreflang="nn" data-title="Kuleramme" data-language-autonym="Norsk nynorsk" data-language-local-name="ਨਾਰਵੇਜਿਆਈ ਨਿਓਨੌਰਸਕ" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Abakus_(kuleramme)" title="Abakus (kuleramme) – ਨਾਰਵੇਜਿਆਈ ਬੋਕਮਲ" lang="nb" hreflang="nb" data-title="Abakus (kuleramme)" data-language-autonym="Norsk bokmål" data-language-local-name="ਨਾਰਵੇਜਿਆਈ ਬੋਕਮਲ" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Abakus_(liczyd%C5%82o)" title="Abakus (liczydło) – ਪੋਲੈਂਡੀ" lang="pl" hreflang="pl" data-title="Abakus (liczydło)" data-language-autonym="Polski" data-language-local-name="ਪੋਲੈਂਡੀ" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/%C3%80baco" title="Àbaco – ਪੀਦਮੋਨਟੀਸ" lang="pms" hreflang="pms" data-title="Àbaco" data-language-autonym="Piemontèis" data-language-local-name="ਪੀਦਮੋਨਟੀਸ" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%DA%AF%D9%86%D8%AA%D8%A7%D8%B1%D8%A7" title="گنتارا – ਪੰਜਾਬੀ (ਸ਼ਾਹਮੁਖੀ)" lang="pnb" hreflang="pnb" data-title="گنتارا" data-language-autonym="پنجابی" data-language-local-name="ਪੰਜਾਬੀ (ਸ਼ਾਹਮੁਖੀ)" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/%C3%81baco" title="Ábaco – ਪੁਰਤਗਾਲੀ" lang="pt" hreflang="pt" data-title="Ábaco" data-language-autonym="Português" data-language-local-name="ਪੁਰਤਗਾਲੀ" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Abac" title="Abac – ਰੋਮਾਨੀਆਈ" lang="ro" hreflang="ro" data-title="Abac" data-language-autonym="Română" data-language-local-name="ਰੋਮਾਨੀਆਈ" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਰੂਸੀ" lang="ru" hreflang="ru" data-title="Абак" data-language-autonym="Русский" data-language-local-name="ਰੂਸੀ" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Badduttuleri" title="Badduttuleri – ਸਿਸੀਲੀਅਨ" lang="scn" hreflang="scn" data-title="Badduttuleri" data-language-autonym="Sicilianu" data-language-local-name="ਸਿਸੀਲੀਅਨ" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A2%D8%A8%D8%A7%DA%AA%D8%B3" title="آباڪس – ਸਿੰਧੀ" lang="sd" hreflang="sd" data-title="آباڪس" data-language-autonym="سنڌي" data-language-local-name="ਸਿੰਧੀ" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Abakus_(ra%C4%8Dunanje)" title="Abakus (računanje) – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Abakus (računanje)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Abacus" title="Abacus – Simple English" lang="en-simple" hreflang="en-simple" data-title="Abacus" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Abakus_(po%C4%8D%C3%ADtacia_tabu%C4%BEka)" title="Abakus (počítacia tabuľka) – ਸਲੋਵਾਕ" lang="sk" hreflang="sk" data-title="Abakus (počítacia tabuľka)" data-language-autonym="Slovenčina" data-language-local-name="ਸਲੋਵਾਕ" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Abak" title="Abak – ਸਲੋਵੇਨੀਆਈ" lang="sl" hreflang="sl" data-title="Abak" data-language-autonym="Slovenščina" data-language-local-name="ਸਲੋਵੇਨੀਆਈ" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Abakusi" title="Abakusi – ਅਲਬਾਨੀਆਈ" lang="sq" hreflang="sq" data-title="Abakusi" data-language-autonym="Shqip" data-language-local-name="ਅਲਬਾਨੀਆਈ" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA%D1%83%D1%81_(%D1%80%D0%B0%D1%87%D1%83%D0%BD%D0%B0%D1%9A%D0%B5)" title="Абакус (рачунање) – ਸਰਬੀਆਈ" lang="sr" hreflang="sr" data-title="Абакус (рачунање)" data-language-autonym="Српски / srpski" data-language-local-name="ਸਰਬੀਆਈ" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Sipoah" title="Sipoah – ਸੂੰਡਾਨੀ" lang="su" hreflang="su" data-title="Sipoah" data-language-autonym="Sunda" data-language-local-name="ਸੂੰਡਾਨੀ" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Abakus" title="Abakus – ਸਵੀਡਿਸ਼" lang="sv" hreflang="sv" data-title="Abakus" data-language-autonym="Svenska" data-language-local-name="ਸਵੀਡਿਸ਼" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Abakasi" title="Abakasi – ਸਵਾਹਿਲੀ" lang="sw" hreflang="sw" data-title="Abakasi" data-language-autonym="Kiswahili" data-language-local-name="ਸਵਾਹਿਲੀ" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D%E0%AE%9A%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="எண்சட்டம் – ਤਮਿਲ" lang="ta" hreflang="ta" data-title="எண்சட்டம்" data-language-autonym="தமிழ்" data-language-local-name="ਤਮਿਲ" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%85%E0%B0%AC%E0%B0%BE%E0%B0%95%E0%B0%B8%E0%B1%8D" title="అబాకస్ – ਤੇਲਗੂ" lang="te" hreflang="te" data-title="అబాకస్" data-language-autonym="తెలుగు" data-language-local-name="ਤੇਲਗੂ" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA" title="Абак – ਤਾਜਿਕ" lang="tg" hreflang="tg" data-title="Абак" data-language-autonym="Тоҷикӣ" data-language-local-name="ਤਾਜਿਕ" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A5%E0%B8%B9%E0%B8%81%E0%B8%84%E0%B8%B4%E0%B8%94" title="ลูกคิด – ਥਾਈ" lang="th" hreflang="th" data-title="ลูกคิด" data-language-autonym="ไทย" data-language-local-name="ਥਾਈ" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Abakus" title="Abakus – ਤਗਾਲੋਗ" lang="tl" hreflang="tl" data-title="Abakus" data-language-autonym="Tagalog" data-language-local-name="ਤਗਾਲੋਗ" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Abak%C3%BCs" title="Abaküs – ਤੁਰਕੀ" lang="tr" hreflang="tr" data-title="Abaküs" data-language-autonym="Türkçe" data-language-local-name="ਤੁਰਕੀ" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%90%D0%B1%D0%B0%D0%BA_(%D1%80%D0%B0%D1%85%D1%96%D0%B2%D0%BD%D0%B8%D1%86%D1%8F)" title="Абак (рахівниця) – ਯੂਕਰੇਨੀਆਈ" lang="uk" hreflang="uk" data-title="Абак (рахівниця)" data-language-autonym="Українська" data-language-local-name="ਯੂਕਰੇਨੀਆਈ" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%DA%AF%D9%86%D8%AA%D8%A7%D8%B1%D8%A7" title="گنتارا – ਉਰਦੂ" lang="ur" hreflang="ur" data-title="گنتارا" data-language-autonym="اردو" data-language-local-name="ਉਰਦੂ" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Abak" title="Abak – ਉਜ਼ਬੇਕ" lang="uz" hreflang="uz" data-title="Abak" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ਉਜ਼ਬੇਕ" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/B%C3%A0n_t%C3%ADnh" title="Bàn tính – ਵੀਅਤਨਾਮੀ" lang="vi" hreflang="vi" data-title="Bàn tính" data-language-autonym="Tiếng Việt" data-language-local-name="ਵੀਅਤਨਾਮੀ" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Abacus" title="Abacus – ਵੈਰੇ" lang="war" hreflang="war" data-title="Abacus" data-language-autonym="Winaray" data-language-local-name="ਵੈਰੇ" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%AE%97%E7%9B%98" title="算盘 – ਚੀਨੀ ਵੂ" lang="wuu" hreflang="wuu" data-title="算盘" data-language-autonym="吴语" data-language-local-name="ਚੀਨੀ ਵੂ" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-abacus" title="I-abacus – ਖੋਸਾ" lang="xh" hreflang="xh" data-title="I-abacus" data-language-autonym="IsiXhosa" data-language-local-name="ਖੋਸਾ" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%AE%97%E7%9B%98" title="算盘 – ਚੀਨੀ" lang="zh" hreflang="zh" data-title="算盘" data-language-autonym="中文" data-language-local-name="ਚੀਨੀ" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E7%AE%97%E7%9B%A4" title="算盤 – ਚੀਨੀ (ਰਵਾਇਤੀ)" lang="lzh" hreflang="lzh" data-title="算盤" data-language-autonym="文言" data-language-local-name="ਚੀਨੀ (ਰਵਾਇਤੀ)" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/S%C7%B9g-p%C3%B4a%E2%81%BF" title="Sǹg-pôaⁿ – ਚੀਨੀ ਮਿਨ ਨਾਨ" lang="nan" hreflang="nan" data-title="Sǹg-pôaⁿ" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="ਚੀਨੀ ਮਿਨ ਨਾਨ" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%AE%97%E7%9B%A4" title="算盤 – ਕੈਂਟੋਨੀਜ਼" lang="yue" hreflang="yue" data-title="算盤" data-language-autonym="粵語" data-language-local-name="ਕੈਂਟੋਨੀਜ਼" class="interlanguage-link-target"><span>粵語</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/Q12806#sitelinks-wikipedia" title="ਅੰਤਰਭਾਸ਼ਾਈ ਕੜੀਆਂ ਸੋਧੋ" class="wbc-editpage">ਜੋੜ ਸੋਧੋ</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="ਨਾਂ-ਥਾਂ"> <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/%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" title="ਸਮੱਗਰੀ ਸਫ਼ਾ ਵੇਖੋ [c]" accesskey="c"><span>ਸਫ਼ਾ</span></a></li><li id="ca-talk" 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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">ਸੰਦ</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ਸਾਈਡਬਾਰ 'ਤੇ ਜਾਓ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ਲੁਕਾਓ</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="ਹੋਰ ਚੋਣਾਂ" > <div class="vector-menu-heading"> ਕਾਰਵਾਈਆਂ </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/%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8"><span>ਪੜ੍ਹੋ</span></a></li><li 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ਦੀ ਸੂਚੀ, ਜੋ ਇੱਥੇ ਜੋੜਦੇ ਹਨ [j]" accesskey="j"><span>ਇੱਥੇ ਕੀ ਆ ਕੇ ਜੁੜਦਾ ਹੈ</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%9C%E0%A9%81%E0%A9%9C%E0%A9%80%E0%A8%86%E0%A8%82_%E0%A8%B9%E0%A8%BE%E0%A8%B2%E0%A9%80%E0%A8%86_%E0%A8%A4%E0%A8%AC%E0%A8%A6%E0%A9%80%E0%A8%B2%E0%A9%80%E0%A8%86%E0%A8%82/%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8" rel="nofollow" title="ਇਸ ਸਫ਼ੇ ਤੋਂ ਜੋੜੇ ਗਏ ਸਫ਼ਿਆਂ ਵਿਚ ਹਾਲੀਆ ਤਬਦੀਲੀਆਂ [k]" accesskey="k"><span>ਸਬੰਧਤ ਤਬਦੀਲੀਆਂ</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8_%E0%A8%B8%E0%A8%AB%E0%A8%BC%E0%A9%87" title="ਸਾਰੇ ਖ਼ਾਸ ਸਫ਼ਿਆਂ ਦੀ ਲਿਸਟ [q]" accesskey="q"><span>ਖ਼ਾਸ ਸਫ਼ੇ</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&oldid=525743" title="ਇਸ ਸਫ਼ੇ ਦੇ ਇਸ ਸੋਧ ਲਈ ਸਥਾਈ ਕੜੀ"><span>ਪੱਕੀ ਕੜੀਆਂ</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=info" title="More information about this page"><span>ਸਫ਼ਾ ਜਾਣਕਾਰੀ</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:CiteThisPage&page=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&id=525743&wpFormIdentifier=titleform" title="ਇਸ ਸਫ਼ੇ ਦਾ ਹਵਾਲੇ ਦੇਣ ਸਬੰਧੀ ਜਾਣਕਾਰੀ"><span>ਇਸ ਸਫ਼ੇ ਦਾ ਹਵਾਲਾ ਦਿਉ</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:UrlShortener&url=https%3A%2F%2Fpa.wikipedia.org%2Fwiki%2F%25E0%25A8%2585%25E0%25A8%25AC%25E0%25A9%2588%25E0%25A8%2595%25E0%25A8%25B8"><span>ਛੋਟਾ ਯੂਆਰਐੱਲ ਪ੍ਰਾਪਤ ਕਰੋ</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:QrCode&url=https%3A%2F%2Fpa.wikipedia.org%2Fwiki%2F%25E0%25A8%2585%25E0%25A8%25AC%25E0%25A9%2588%25E0%25A8%2595%25E0%25A8%25B8"><span>QR ਕੋਡ ਡਾਊਨਲੋਡ ਕਰੋ</span></a></li><li id="t-shorturl" class="mw-list-item"><a href="//pa.wikipedia.org/s/91n" title="ਸਾਂਝਾ ਕਰਨ ਲਈ ਇਸ ਛੋਟੀ ਕੜੀ ਦੀ ਨਕਲ ਕਰੋ"><span>ਛੋਟਾ ਯੂਆਰਐੱਲ</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> ਛਾਪੋ / ਬਰਾਮਦ ਕਰੋ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%95%E0%A8%BF%E0%A8%A4%E0%A8%BE%E0%A8%AC&bookcmd=book_creator&referer=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8"><span>ਇੱਕ ਕਿਤਾਬ ਬਣਾਓ</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a 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src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ea/Boulier1.JPG/220px-Boulier1.JPG" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ea/Boulier1.JPG/330px-Boulier1.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/e/ea/Boulier1.JPG 2x" data-file-width="409" data-file-height="307" /></a><figcaption><a href="/wiki/%E0%A8%9A%E0%A9%80%E0%A8%A8" title="ਚੀਨ">ਚੀਨ</a> ਦਾ ਅਬੈਕਸ</figcaption></figure> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A8%A4%E0%A8%B8%E0%A8%B5%E0%A9%80%E0%A8%B0:Gregor_Reisch,_Margarita_Philosophica,_1508_(1230x1615).png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png/220px-Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png" decoding="async" width="220" height="290" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png/330px-Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png/440px-Gregor_Reisch%2C_Margarita_Philosophica%2C_1508_%281230x1615%29.png 2x" data-file-width="1205" data-file-height="1591" /></a><figcaption><i>ਗਰੇਗੋਰ ਰੋਆਸਚ ਦਾ ਗਣਨਾ ਕਰਨ ਵਾਲਾ ਯੰਤਰ</i></figcaption></figure> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A8%A4%E0%A8%B8%E0%A8%B5%E0%A9%80%E0%A8%B0:RomanAbacusRecon.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b5/RomanAbacusRecon.jpg/220px-RomanAbacusRecon.jpg" decoding="async" width="220" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/b5/RomanAbacusRecon.jpg 1.5x" data-file-width="300" data-file-height="239" /></a><figcaption><a href="/w/index.php?title=%E0%A8%B0%E0%A9%8B%E0%A8%AE%E0%A8%A8&action=edit&redlink=1" class="new" title="ਰੋਮਨ (ਸਫ਼ਾ ਮੌਜੂਦ ਨਹੀਂ ਹੈ)">ਰੋਮਨ</a> ਅਬੈਕਸ</figcaption></figure> <p><b>ਅਬੈਕਸ</b> ਇੱਕ ਮਕੈਨੀਕਲ ਯੰਤਰ ਹੈ, ਜਿਸ ਨਾਲ ਹਿਸਾਬ ਦੀ ਵੱਡੀ ਤੋਂ ਵੱਡੀ ਗਿਣਤੀ ਨੂੰ ਬੜੀ ਅਸਾਨੀ ਨਾਲ ਹੱਲ ਕੀਤਾ ਜਾ ਸਕਦਾ ਹੈ। ਇਸ ਦਾ ਸਬੰਧ ਬਹੁਤ ਪਹਿਲੇ ਤੋਂ ਏਸ਼ੀਆ ਨਾਲ ਹੈ। ਇਸ ਲਈ ਆਧੁਨਿਕ ਪਰਿਭਾਸ਼ਾ ਅਨੁਸਾਰ ਅਬੈਕਸ 'ਦਿਮਾਗੀ ਕਸਰਤ ਲਈ ਇੱਕ ਗਣਿਤਕ ਹਥਿਆਰ' ਵਜੋਂ ਜਾਣਿਆ ਜਾਂਦਾ ਹੈ।<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="ਬਣਤਰ"><span id=".E0.A8.AC.E0.A8.A3.E0.A8.A4.E0.A8.B0"></span>ਬਣਤਰ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=edit&section=1" title="ਭਾਗ ਸੋਧ: ਬਣਤਰ"><span>ਸੋਧੋ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ਇਹ ਇੱਕ ਲੱਕੜੀ, ਪਲਾਸਟਿਕ ਜਾਂ ਧਾਤ ਦੇ ਫਰੇਮ ਦਾ ਬਣਿਆ ਹੁੰਦਾ ਹੈ, ਜਿਸ ਵਿੱਚ ਸਿੱਧੀਆਂ ਕਈ ਛੜਾਂ ਲੱਗੀਆਂ ਹੁੰਦੀਆਂ ਹਨ, ਜਿਹਨਾਂ ਉੱਤੇ ਮਣਕੇ ਹੁੰਦੇ ਹਨ, ਜੋ ਬੜੀ ਆਸਾਨੀ ਨਾਲ ਇਨ੍ਹਾਂ ਛੜਾਂ ਉੱਤੇ ਉੱਪਰ-ਹੇਠਾਂ ਜਾ ਸਕਦੇ ਹਨੈ। ਇਨ੍ਹਾਂ ਛੜਾਂ ਨੂੰ ਇੱਕ ਲੇਟਵੀਆਂ {ਹਾਰੀਜੋਨਟਲ} ਛੜ ਕੱਟਦੀ ਹੈ, ਜਿਸ ਨਾਲ ਹਰ ਸਿੱਧੀ ਛੜ ਦੇ ਉੱਪਰ ਵੱਲ ਇੱਕ ਮਣਕਾ ਅਤੇ ਹੇਠਾਂ ਚਾਰ ਮਣਕੇ ਲੱਗੇ ਹੁੰਦੇ ਹਨੈ।<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> ਅਬੈਕਸ ਦੁਨੀਆ ਭਰ ਵਿੱਚ ਜਾਣਿਆ ਜਾਂਦਾ ਹੈ ਉਹ 1/5 ਮਣਕੇ ਜਾਪਾਨੀ ਸੋਰੋਬਨ ਉੱਤੇ ਆਧਾਰਿਤ ਹੈ ਤੇ ਆਧੁਨਿਕ ਗਣਿਤ ਪ੍ਰਣਾਲੀ ਵਿੱਚ ਇਸ ਦੀ ਆਪਣੀ ਚੰਗੀ ਥਾਂ ਹੈ। ਇਹ ਗਣਿਤ ਦੀਆਂ ਸੰਖਿਆਵਾਂ ਨੂੰ ਉਸ ਦੇ ਸਥਾਨਕ ਮੁੱਲ ਦੱਸਣ ਵਿੱਚ ਮਦਦ ਕਰਦਾ ਹੈ। ਅੱਜ ਦੁਨੀਆ ਵਿੱਚ ਇਸ ਨੂੰ 'ਪਹਿਲਾ ਕੰਪਿਊਟਰ' ਦੇ ਨਾਂਅ ਨਾਲ ਜਾਣਿਆ ਜਾਂਦਾ ਹੈ। </p> <div class="mw-heading mw-heading2"><h2 id="ਭਾਰਤ_ਵਿੱਚ_ਅਬੈਕਸ"><span id=".E0.A8.AD.E0.A8.BE.E0.A8.B0.E0.A8.A4_.E0.A8.B5.E0.A8.BF.E0.A9.B1.E0.A8.9A_.E0.A8.85.E0.A8.AC.E0.A9.88.E0.A8.95.E0.A8.B8"></span>ਭਾਰਤ ਵਿੱਚ ਅਬੈਕਸ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=edit&section=2" title="ਭਾਗ ਸੋਧ: ਭਾਰਤ ਵਿੱਚ ਅਬੈਕਸ"><span>ਸੋਧੋ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ਪਹਿਲੀ ਸਦੀ ਵਿੱਚ <a href="/w/index.php?title=%E0%A8%85%E0%A8%AD%E0%A9%80%E0%A8%A7%E0%A8%B0%E0%A8%AE%E0%A8%BE%E0%A8%95%E0%A9%8B%E0%A8%B8%E0%A8%BE&action=edit&redlink=1" class="new" title="ਅਭੀਧਰਮਾਕੋਸਾ (ਸਫ਼ਾ ਮੌਜੂਦ ਨਹੀਂ ਹੈ)">ਅਭੀਧਰਮਾਕੋਸਾ</a> ਨੇ ਅਬੈਕਸ ਦੀ ਵਰਤੋਂ <a href="/wiki/%E0%A8%AD%E0%A8%BE%E0%A8%B0%E0%A8%A4" title="ਭਾਰਤ">ਭਾਰਤ</a> ਵਿੱਚ ਕੀਤੀ।<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> ਅਤੇ 5ਵੀਂ ਸਦੀ ਵਿੱਚ ਭਾਰਤੀ ਕਲਰਕ ਨੇ ਅਬੈਕਸ ਦੀ ਵਰਤੋਂ ਦੇ ਨਵੇਂ ਤਰੀਕੇ ਵਾਰੇ ਵਿਚਾਰ ਕਰ ਰਹੇ ਸਨ।<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Hindu texts used the term <i>shunya</i> (zero) to indicate the empty column on the abacus.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="ਮਹੱਤਵ"><span id=".E0.A8.AE.E0.A8.B9.E0.A9.B1.E0.A8.A4.E0.A8.B5"></span>ਮਹੱਤਵ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=edit&section=3" title="ਭਾਗ ਸੋਧ: ਮਹੱਤਵ"><span>ਸੋਧੋ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ਅਬੈਕਸ ਗਣਿਤ ਕਿਰਿਆਵਾਂ ਜਿਵੇਂ ਜਮ੍ਹਾਂ, ਗੁਣਾਂ, ਘਟਾਓ, ਭਾਗ, ਵਰਗ, ਵਰਗਮੂਲ ਨਾਲ ਸਬੰਧਤ ਸਮੱਸਿਆਵਾਂ ਨੂੰ ਬੜੇ ਹੀ ਆਸਾਨ ਢੰਗ ਨਾਲ ਹੱਲ ਕਰਨ ਵਿੱਚ ਮਦਦ ਕਰਦਾ ਹੈ। ਅੱਜ ਦੁਨੀਆ ਭਰ ਵਿੱਚ ਬੱਚੇ ਇਸ ਅਨੋਖੇ ਟੂਲ ਦੀ ਮਦਦ ਨਾਲ ਵੱਡੀ ਤੋਂ ਵੱਡੀ ਗਣਿਤਕ ਕਿਰਿਆ ਨੂੰ ਜ਼ਬਾਨੀ ਹੀ ਕੁਝ ਸਕਿੰਟਾਂ ਵਿੱਚ ਹੱਲ ਕਰ ਲੈਂਦੇ ਹਨੈ। ਇਹ 4-14 ਸਾਲ ਤੱਕ ਦੇ ਬੱਚਿਆਂ ਲਈ ਲਾਹੇਵੰਦ ਹੈ। </p> <div class="mw-heading mw-heading2"><h2 id="ਗਣਿਤ_ਦੀਆਂ_ਸਮੱਸਿਆਵਾਂ"><span id=".E0.A8.97.E0.A8.A3.E0.A8.BF.E0.A8.A4_.E0.A8.A6.E0.A9.80.E0.A8.86.E0.A8.82_.E0.A8.B8.E0.A8.AE.E0.A9.B1.E0.A8.B8.E0.A8.BF.E0.A8.86.E0.A8.B5.E0.A8.BE.E0.A8.82"></span>ਗਣਿਤ ਦੀਆਂ ਸਮੱਸਿਆਵਾਂ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=edit&section=4" title="ਭਾਗ ਸੋਧ: ਗਣਿਤ ਦੀਆਂ ਸਮੱਸਿਆਵਾਂ"><span>ਸੋਧੋ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ਇਹ ਜਾਦੂਈ ਗਣਿਤਕ ਹਥਿਆਰ ਵੱਡੀ ਤੋਂ ਵੱਡੀ ਗਣਿਤਕ ਸਮੱਸਿਆਵਾਂ ਨੂੰ ਸਕਿੰਟਾਂ ਵਿੱਚ ਜ਼ਬਾਨੀ ਹੱਲ ਕਰਨ ਵਿੱਚ ਮਦਦ ਕਰਦਾ ਹੈ। ਉਦਾਹਰਨ ਦੇ ਤੌਰ ਉੱਤੇ ਗੁਣਾਂ ਦੇ ਸਵਾਲਾਂ ਨੂੰ ਸਕਿੰਟਾਂ ਵਿੱਚ ਹੱਲ ਕਰਨਾ ਅਬੈਕਸ ਦੀ ਕੁਸ਼ਲਤਾ ਦਾ ਜਵਾਬ ਹੈ। 5391+6478+3075+8956+7431+6492 ਆਦਿ ਜਮ੍ਹਾਂ ਦੇ ਵੱਡੇ-ਵੱਡੇ ਸਵਾਲਾਂ ਨੂੰ ਬਿਨਾਂ ਕੈਲਕੁਲੇਟਰ ਦੀ ਮਦਦ ਤੋਂ ਜਲਦੀ ਹੱਲ ਨਹੀਂ ਕੀਤਾ ਜਾ ਸਕਦਾ ਪਰ ਅਬੈਕਸ ਦੀ ਮਦਦ ਨਾਲ ਇਸ ਨੂੰ ਕੁਝ ਹੀ ਸਕਿੰਟਾਂ ਵਿੱਚ ਜ਼ਬਾਨੀ ਹੱਲ ਕਰ ਸਕਦੇ ਹਾਂ। ਅਬੈਕਸ ਦੀ ਮਦਦ ਨਾਲ ਕੋਈ ਵੀ ਦੋ ਅੰਕਾਂ ਜਿਵੇਂ 55, 67 ਦਾ ਪਹਾੜਾ ਜਾਂ ਤਿੰਨ ਅੰਕਾਂ ਵਾਲੇ ਪਹਾੜੇ ਜਿਵੇਂ ਕਿ 589, 217 ਜ਼ਬਾਨੀ ਕੁਝ ਸਮੇਂ ਵਿੱਚ ਯਾਦ ਕਰ ਸਕਦੇ ਹਨ। </p> <div class="mw-heading mw-heading2"><h2 id="ਹਵਾਲੇ"><span id=".E0.A8.B9.E0.A8.B5.E0.A8.BE.E0.A8.B2.E0.A9.87"></span>ਹਵਾਲੇ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A8%85%E0%A8%AC%E0%A9%88%E0%A8%95%E0%A8%B8&action=edit&section=5" title="ਭਾਗ ਸੋਧ: ਹਵਾਲੇ"><span>ਸੋਧੋ</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r636460">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Boyer, Carl B.; Merzbach, Uta C. (1991); pp. 252-253</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Gove, Philip Babcock (1976)</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text">Stearns, Peter N.; Langer, William Leonard (2001); p. 44</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text">Körner, Thomas William (1996); p. 232</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text">Mollin, Richard Anthony (1998); p. 3</span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">"<a dir="ltr" href="https://pa.wikipedia.org/w/index.php?title=ਅਬੈਕਸ&oldid=525743">https://pa.wikipedia.org/w/index.php?title=ਅਬੈਕਸ&oldid=525743</a>" ਤੋਂ ਲਿਆ</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%E0%A8%96%E0%A8%BC%E0%A8%BE%E0%A8%B8:%E0%A8%B8%E0%A8%BC%E0%A9%8D%E0%A8%B0%E0%A9%87%E0%A8%A3%E0%A9%80%E0%A8%86%E0%A8%82" title="ਖ਼ਾਸ:ਸ਼੍ਰੇਣੀਆਂ">ਸ਼੍ਰੇਣੀ</a>: <ul><li><a href="/wiki/%E0%A8%B8%E0%A8%BC%E0%A9%8D%E0%A8%B0%E0%A9%87%E0%A8%A3%E0%A9%80:%E0%A8%B9%E0%A8%BF%E0%A8%B8%E0%A8%BE%E0%A8%AC" title="ਸ਼੍ਰੇਣੀ:ਹਿਸਾਬ">ਹਿਸਾਬ</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> ਇਸ ਸਫ਼ੇ ਵਿੱਚ ਆਖ਼ਰੀ ਸੋਧ 15 ਸਤੰਬਰ 2020 ਨੂੰ 05:51 ਵਜੇ ਹੋਈ।</li> <li id="footer-info-copyright">ਇਹ ਲਿਖਤ <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike License 4.0</a> ਦੇ ਤਹਿਤ ਉਪਲਬਧ ਹੈ; 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