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Aryabhata II - Wikipedia

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class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A6%E0%A5%81%E0%A4%B8%E0%A4%B0%E0%A4%BE_%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F" title="दुसरा आर्यभट – Bhojpuri" lang="bh" hreflang="bh" data-title="दुसरा आर्यभट" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Aryabhata_II" title="Aryabhata II – Catalan" lang="ca" hreflang="ca" data-title="Aryabhata II" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Aryabhata_II." title="Aryabhata II. – German" lang="de" hreflang="de" data-title="Aryabhata II." data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A2%D8%B1%DB%8C%D8%A7%D8%A8%D9%87%D8%A7%D8%AA%D8%A7_%D8%AF%D9%88%D9%85" title="آریابهاتا دوم – Persian" lang="fa" hreflang="fa" data-title="آریابهاتا دوم" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Aryabhata_II" title="Aryabhata II – Galician" lang="gl" hreflang="gl" data-title="Aryabhata II" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F%E0%A5%8D%E0%A4%9F_%E0%A4%A6%E0%A5%8D%E0%A4%B5%E0%A4%BF%E0%A4%A4%E0%A5%80%E0%A4%AF" title="आर्यभट्ट द्वितीय – Hindi" lang="hi" hreflang="hi" data-title="आर्यभट्ट द्वितीय" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%86%E0%B4%B0%E0%B5%8D%E0%B4%AF%E0%B4%AD%E0%B4%9F%E0%B5%BB_II" title="ആര്യഭടൻ II – Malayalam" lang="ml" hreflang="ml" data-title="ആര്യഭടൻ II" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F" title="आर्यभट – Nepali" lang="ne" hreflang="ne" data-title="आर्यभट" data-language-autonym="नेपाली" data-language-local-name="Nepali" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F_%E0%A5%A8" title="आर्यभट २ – Newari" lang="new" hreflang="new" data-title="आर्यभट २" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%86%E0%A8%B0%E0%A9%80%E0%A8%86%E0%A8%AD%E0%A9%B1%E0%A8%9F_%E0%A8%A6%E0%A9%82%E0%A8%B8%E0%A8%B0%E0%A8%BE" title="ਆਰੀਆਭੱਟ ਦੂਸਰਾ – Punjabi" lang="pa" hreflang="pa" data-title="ਆਰੀਆਭੱਟ ਦੂਸਰਾ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Aryabhata_II" title="Aryabhata II – Romanian" lang="ro" hreflang="ro" data-title="Aryabhata II" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%87%E0%AE%B0%E0%AE%A3%E0%AF%8D%E0%AE%9F%E0%AE%BE%E0%AE%AE%E0%AF%8D_%E0%AE%86%E0%AE%B0%E0%AE%BF%E0%AE%AF%E0%AE%AA%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%BE" title="இரண்டாம் ஆரியபட்டா – Tamil" lang="ta" hreflang="ta" data-title="இரண்டாம் ஆரியபட்டா" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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%86%E0%B0%B0%E0%B1%8D%E0%B0%AF%E0%B0%AD%E0%B0%9F%E0%B1%8D%E0%B0%9F_II" title="ఆర్యభట్ట II – Telugu" lang="te" hreflang="te" data-title="ఆర్యభట్ట II" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</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/Q404213#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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/Aryabhata_II" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a 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class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Indian mathematician and astronomer (920-1000)</div> <p class="mw-empty-elt"> </p><p><b>Āryabhaṭa</b> (c. 920 &#8211; c. 1000)<sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> also known as Arya Diya Jankhi was an Indian <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> and <a href="/wiki/Astronomer" title="Astronomer">astronomer</a>, and the author of the <i>Maha-Siddhanta</i>. The numeral II is given to him to distinguish him from the earlier and more influential <a href="/wiki/%C4%80ryabha%E1%B9%ADa_I" class="mw-redirect" title="Āryabhaṭa I">Āryabhaṭa&#160;I</a>. Scholars are unsure of when exactly he was born, though <a href="/wiki/David_Pingree" title="David Pingree">David Pingree</a> dates of his main publications between 950&#8211;1100.<sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-CESS1_2-0" class="reference"><a href="#cite_note-CESS1-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> The manuscripts of his <i>Maha-Siddhanta</i> have been discovered from <a href="/wiki/Gujarat" title="Gujarat">Gujarat</a>, <a href="/wiki/Rajasthan" title="Rajasthan">Rajasthan</a>, <a href="/wiki/Uttar_Pradesh" title="Uttar Pradesh">Uttar Pradesh</a>, and <a href="/wiki/Bengal" title="Bengal">Bengal</a>, so he probably lived in northern India.<sup id="cite_ref-CESS1_2-1" class="reference"><a href="#cite_note-CESS1-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Maha_Siddhanta">Maha Siddhanta</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aryabhata_II&amp;action=edit&amp;section=1" title="Edit section: Maha Siddhanta"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Aryabhata wrote <i>Maha-Siddhanta</i>, also known as <i>Arya-siddhanta</i>, <a href="/wiki/Sanskrit" title="Sanskrit">Sanskrit</a> language work containing 18 chapters. It summarizes a <a href="/wiki/Lost_literary_work" title="Lost literary work">lost work</a> attributed to Parashara, and is probably based on <a href="/wiki/Shridhara" class="mw-redirect" title="Shridhara">Shridhara</a>'s work.<sup id="cite_ref-CESS1_2-2" class="reference"><a href="#cite_note-CESS1-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p><p>The initial twelve chapters deal with topics related to <a href="/wiki/Mathematical_astronomy" class="mw-redirect" title="Mathematical astronomy">mathematical astronomy</a> and cover the topics that <a href="/wiki/Indian_mathematicians" class="mw-redirect" title="Indian mathematicians">Indian mathematicians</a> of that period had already worked on. The various topics that have been included in these twelve chapters are: the <a href="/wiki/Longitude_(planets)" class="mw-redirect" title="Longitude (planets)">longitudes</a> of the planets, lunar and solar <a href="/wiki/Eclipse" title="Eclipse">eclipses</a>, the estimation of eclipses, the lunar crescent, the rising and setting of the planets, association of the planets with each other and with the stars. </p><p>The next six chapters of the book includes topics such as <a href="/wiki/Geometry" title="Geometry">geometry</a>, <a href="/wiki/Geography" title="Geography">geography</a> and <a href="/wiki/Algebra" title="Algebra">algebra</a>, which were applied to calculate the longitudes of the planets. In about twenty verses in the treatise, he gives elaborate rules to solve the <a href="/wiki/Indeterminate_equation" title="Indeterminate equation">indeterminate equation</a>: by = ax + c. These rules have been applied to a number of different cases such as when c has a positive value, when c has a negative value, when the number of the quotients is an even number, when this number of quotients is an odd number, etc. </p> <div class="mw-heading mw-heading2"><h2 id="Other_contributions_to_maths">Other contributions to maths</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aryabhata_II&amp;action=edit&amp;section=2" title="Edit section: Other contributions to maths"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Aryabhata II also deduced a method to calculate the <a href="/wiki/Cube_root" title="Cube root">cube root</a> of a number, but his method was already given by Aryabhata I, many years earlier. Indian mathematicians were very keen to give the correct <a href="/wiki/Sine_tables" class="mw-redirect" title="Sine tables">sine tables</a> since they played a vital role to calculate the planetary positions as accurately as possible. Aryabhata II played a vital role in it by constructing a sine table, which was accurate up to five decimal places. </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aryabhata_II&amp;action=edit&amp;section=3" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-:0-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Aryabhata_II/">"Aryabhata II - Biography"</a>. <i>Maths History: University of St Andrews</i><span class="reference-accessdate">. Retrieved <span class="nowrap">16 July</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Maths+History%3A+University+of+St+Andrews&amp;rft.atitle=Aryabhata+II+-+Biography&amp;rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FAryabhata_II%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AAryabhata+II" class="Z3988"></span></span> </li> <li id="cite_note-CESS1-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-CESS1_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-CESS1_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-CESS1_2-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDavid_Pingree1970" class="citation book cs1"><a href="/wiki/David_Pingree" title="David Pingree">David Pingree</a>, ed. (1970). <a rel="nofollow" class="external text" href="https://archive.org/details/PingreeCESS/Pingree_CESS_A1_1970/"><i>Census of the Exact Sciences in Sanskrit Series A</i></a>. Vol.&#160;1. American Philosophical Society. p.&#160;53.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Census+of+the+Exact+Sciences+in+Sanskrit+Series+A&amp;rft.pages=53&amp;rft.pub=American+Philosophical+Society&amp;rft.date=1970&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2FPingreeCESS%2FPingree_CESS_A1_1970%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AAryabhata+II" class="Z3988"></span></span> </li> </ol></div></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFO&#39;ConnorRobertson" class="citation cs2">O'Connor, John J.; <a href="/wiki/Edmund_F._Robertson" class="mw-redirect" title="Edmund F. Robertson">Robertson, Edmund F.</a>, <a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Aryabhata_II.html">"Aryabhata II"</a>, <i><a href="/wiki/MacTutor_History_of_Mathematics_Archive" title="MacTutor History of Mathematics Archive">MacTutor History of Mathematics Archive</a></i>, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Aryabhata+II&amp;rft.btitle=MacTutor+History+of+Mathematics+Archive&amp;rft.pub=University+of+St+Andrews&amp;rft.aulast=O%27Connor&amp;rft.aufirst=John+J.&amp;rft.au=Robertson%2C+Edmund+F.&amp;rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FAryabhata_II.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AAryabhata+II" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Aryabhata_II&amp;action=edit&amp;section=4" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFVagiswari2007" class="citation encyclopaedia cs1">Vagiswari, A. (2007). <a rel="nofollow" class="external text" href="http://islamsci.mcgill.ca/RASI/BEA/Aryabhata_II_BEA.htm">"Āryabhaṭa II"</a>. In Thomas Hockey; et&#160;al. (eds.). <i>The Biographical Encyclopedia of Astronomers</i>. New York: Springer. p.&#160;64. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-387-31022-0" title="Special:BookSources/978-0-387-31022-0"><bdi>978-0-387-31022-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=%C4%80ryabha%E1%B9%ADa+II&amp;rft.btitle=The+Biographical+Encyclopedia+of+Astronomers&amp;rft.place=New+York&amp;rft.pages=64&amp;rft.pub=Springer&amp;rft.date=2007&amp;rft.isbn=978-0-387-31022-0&amp;rft.aulast=Vagiswari&amp;rft.aufirst=A.&amp;rft_id=http%3A%2F%2Fislamsci.mcgill.ca%2FRASI%2FBEA%2FAryabhata_II_BEA.htm&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AAryabhata+II" class="Z3988"></span> (<a rel="nofollow" class="external text" href="http://islamsci.mcgill.ca/RASI/BEA/Aryabhata_II_BEA.pdf">PDF version</a>)</li></ul> <div class="navbox-styles"><style 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class="navbox-group" style="width:1%"><a href="/wiki/List_of_Indian_mathematicians" title="List of Indian mathematicians">Mathematicians</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Ancient</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Apastamba_Dharmasutra" title="Apastamba Dharmasutra">Apastamba</a></li> <li><a href="/wiki/Baudhayana_sutras" title="Baudhayana sutras">Baudhayana</a></li> <li><a href="/wiki/K%C4%81ty%C4%81yana" title="Kātyāyana">Katyayana</a></li> <li><a href="/wiki/Manava" title="Manava">Manava</a></li> <li><a href="/wiki/P%C4%81%E1%B9%87ini" title="Pāṇini">Pāṇini</a></li> <li><a href="/wiki/Pingala" title="Pingala">Pingala</a></li> <li><a href="/wiki/Yajnavalkya" title="Yajnavalkya">Yajnavalkya</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Classical</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aryabhata" title="Aryabhata">Āryabhaṭa I</a></li> <li><a class="mw-selflink selflink">Āryabhaṭa II</a></li> <li><a href="/wiki/Bh%C4%81skara_I" title="Bhāskara I">Bhāskara I</a></li> <li><a href="/wiki/Bh%C4%81skara_II" title="Bhāskara II">Bhāskara II</a></li> <li><a href="/wiki/Melpathur_Narayana_Bhattathiri" title="Melpathur Narayana Bhattathiri">Melpathur Narayana Bhattathiri</a></li> <li><a href="/wiki/Brahmadeva" title="Brahmadeva">Brahmadeva</a></li> <li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li> <li><a href="/wiki/Govindasv%C4%81mi" title="Govindasvāmi">Govindasvāmi</a></li> <li><a href="/wiki/Halayudha" title="Halayudha">Halayudha</a></li> <li><a href="/wiki/Jye%E1%B9%A3%E1%B9%ADhadeva" title="Jyeṣṭhadeva">Jyeṣṭhadeva</a></li> <li><a href="/wiki/Kamalakara" title="Kamalakara">Kamalakara</a></li> <li><a href="/wiki/Madhava_of_Sangamagrama" title="Madhava of Sangamagrama">Mādhava of Saṅgamagrāma</a></li> <li><a href="/wiki/Mah%C4%81v%C4%ABra_(mathematician)" title="Mahāvīra (mathematician)">Mahāvīra</a></li> <li><a href="/wiki/Mahendra_S%C5%ABri" title="Mahendra Sūri">Mahendra Sūri</a></li> <li><a href="/wiki/Munishvara" title="Munishvara">Munishvara</a></li> <li><a href="/wiki/Narayana_Pandit" class="mw-redirect" title="Narayana Pandit">Narayana</a></li> <li><a href="/wiki/Parameshvara" class="mw-redirect" title="Parameshvara">Parameshvara</a></li> <li><a href="/wiki/Achyuta_Pisharati" class="mw-redirect" title="Achyuta Pisharati">Achyuta Pisharati</a></li> <li><a href="/wiki/Jagannatha_Samrat" title="Jagannatha Samrat">Jagannatha Samrat</a></li> <li><a href="/wiki/Nilakantha_Somayaji" title="Nilakantha Somayaji">Nilakantha Somayaji</a></li> <li><a href="/wiki/%C5%9Ar%C4%ABpati" title="Śrīpati">Śrīpati</a></li> <li><a href="/wiki/Sridhara" title="Sridhara">Sridhara</a></li> <li><a href="/wiki/Gangesha_Upadhyaya" class="mw-redirect" title="Gangesha Upadhyaya">Gangesha Upadhyaya</a></li> <li><a href="/wiki/Var%C4%81hamihira" title="Varāhamihira">Varāhamihira</a></li> <li><a href="/wiki/Sankara_Variar" title="Sankara Variar">Sankara Variar</a></li> <li><a href="/wiki/Virasena" title="Virasena">Virasena</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Modern</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Srinivasa_Ramanujan" title="Srinivasa Ramanujan">Srinivasa Ramanujan</a></li> <li><a href="/wiki/Satyendra_Nath_Bose" title="Satyendra Nath Bose">Satyendra Nath Bose</a></li> <li><a href="/wiki/P.C._Mahalanobis" class="mw-redirect" title="P.C. Mahalanobis">P.C. Mahalanobis</a></li> <li><a href="/wiki/Subrahmanyan_Chandrasekhar" title="Subrahmanyan Chandrasekhar">Subrahmanyan Chandrasekhar</a></li> <li><a href="/wiki/C.R._Rao" class="mw-redirect" title="C.R. Rao">C.R. Rao</a></li> <li><a href="/wiki/Veeravalli_S._Varadarajan" title="Veeravalli S. Varadarajan">Veeravalli S. Varadarajan</a></li> <li><a href="/wiki/S._R._Srinivasa_Varadhan" title="S. R. Srinivasa Varadhan">S. R. Srinivasa Varadhan</a></li> <li><a href="/wiki/K._R._Parthasarathy_(probabilist)" title="K. R. Parthasarathy (probabilist)">K. R. Parthasarathy (probabilist)</a></li> <li><a href="/wiki/M._S._Narasimhan" title="M. S. Narasimhan">M. S. Narasimhan</a></li> <li><a href="/wiki/C._S._Seshadri" title="C. S. Seshadri">C. S. Seshadri</a></li> <li><a href="/wiki/Harish-Chandra" title="Harish-Chandra">Harish-Chandra</a></li> <li><a href="/wiki/Subbayya_Sivasankaranarayana_Pillai" title="Subbayya Sivasankaranarayana Pillai">Subbayya Sivasankaranarayana Pillai</a></li> <li><a href="/wiki/Tilak_Raj_Prabhakar" title="Tilak Raj Prabhakar">Tilak Raj Prabhakar</a></li> <li><a href="/wiki/Manjul_Bhargava" title="Manjul Bhargava">Manjul Bhargava</a></li> <li><a href="/wiki/Akshay_Venkatesh" title="Akshay Venkatesh">Akshay Venkatesh</a></li> <li><a href="/wiki/Ravi_Vakil" title="Ravi Vakil">Ravi Vakil</a></li> <li><a href="/wiki/Kannan_Soundararajan" title="Kannan Soundararajan">Kannan Soundararajan</a></li> <li><a href="/wiki/Template:SSBPST_recipients_in_Mathematical_Science" title="Template:SSBPST recipients in Mathematical Science">Shanti Swarup Bhatnagar Prize recipients in Mathematical Science</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Treatises</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Aryabhatiya" title="Aryabhatiya">Aryabhatiya</a></i></li> <li><a href="/wiki/Bakhshali_manuscript" title="Bakhshali manuscript">Bakhshali manuscript</a></li> <li><i><a href="/wiki/Bijaganita" title="Bijaganita">Bijaganita</a></i></li> <li><i><a href="/wiki/Br%C4%81hmasphu%E1%B9%ADasiddh%C4%81nta" title="Brāhmasphuṭasiddhānta">Brāhmasphuṭasiddhānta</a></i></li> <li><i><a href="/wiki/Ganita_Kaumudi" title="Ganita Kaumudi">Ganita Kaumudi</a></i></li> <li><i><a href="/wiki/Grahalaghava" title="Grahalaghava">Grahalaghava</a></i></li> <li><i><a href="/wiki/Kanakkusaram" title="Kanakkusaram">Kanakkusaram</a></i></li> <li><i><a href="/wiki/Karanapaddhati" title="Karanapaddhati">Karanapaddhati</a></i></li> <li><i><a href="/wiki/L%C4%ABl%C4%81vat%C4%AB" title="Līlāvatī">Līlāvatī</a></i></li> <li><i><a href="/wiki/Lokavibhaga" title="Lokavibhaga">Lokavibhaga</a></i></li> <li><i><a href="/wiki/P%C4%81t%C4%ABga%E1%B9%87ita" title="Pātīgaṇita">Pātīgaṇita</a></i></li> <li><i><a href="/wiki/Paulisa_Siddhanta" title="Paulisa Siddhanta">Paulisa Siddhanta</a></i></li> <li><i><a href="/wiki/Var%C4%81hamihira#Pancha-Siddhantika" title="Varāhamihira">Paitamaha Siddhanta</a></i></li> <li><i><a href="/wiki/Romaka_Siddhanta" title="Romaka Siddhanta">Romaka Siddhanta</a></i></li> <li><i><a href="/wiki/Sadratnamala" title="Sadratnamala">Sadratnamala</a></i></li> <li><i><a href="/wiki/Siddh%C4%81nta_Shiromani" title="Siddhānta Shiromani">Siddhānta Shiromani</a></i></li> <li><i><a href="/wiki/Shulba_Sutras" title="Shulba Sutras">Śulba Sūtras</a></i></li> <li><i><a href="/wiki/Surya_Siddhanta" title="Surya Siddhanta">Surya Siddhanta</a></i></li> <li><i><a href="/wiki/Tantrasamgraha" title="Tantrasamgraha">Tantrasamgraha</a></i></li> <li><i><a href="/wiki/Vasishtha_Siddhanta" title="Vasishtha Siddhanta">Vasishtha Siddhanta</a></i></li> <li><i><a href="/wiki/Venvaroha" title="Venvaroha">Veṇvāroha</a></i></li> <li><i><a href="/wiki/Yuktibh%C4%81%E1%B9%A3%C4%81" title="Yuktibhāṣā">Yuktibhāṣā</a></i></li> <li><i><a href="/wiki/Yavanajataka" title="Yavanajataka">Yavanajataka</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Pioneering<br /> innovations</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Brahmi_numerals" title="Brahmi numerals">Brahmi numerals</a></li> <li><a href="/wiki/Hindu%E2%80%93Arabic_numeral_system" title="Hindu–Arabic numeral system">Hindu–Arabic numeral system</a></li> <li>Symbol for <a href="/wiki/0" title="0">zero (0)</a></li> <li><a href="/wiki/Madhava_series" title="Madhava series">Infinite series expansions for the trigonometric functions</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Centres</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Kerala_school_of_astronomy_and_mathematics" title="Kerala school of astronomy and mathematics">Kerala school of astronomy and mathematics</a></li> <li><a href="/wiki/Jantar_Mantar" title="Jantar Mantar">Jantar Mantar</a> (<a href="/wiki/Jantar_Mantar,_Jaipur" title="Jantar Mantar, Jaipur">Jaipur</a>, <a href="/wiki/Jantar_Mantar,_New_Delhi" title="Jantar Mantar, New Delhi">New Delhi</a>, <a href="/wiki/Jantar_Mantar,_Ujjain" title="Jantar Mantar, Ujjain">Ujjain</a>, <a href="/wiki/Jantar_Mantar,_Varanasi" title="Jantar Mantar, Varanasi">Varanasi</a>)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Historians of<br /> mathematics</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bapudeva_Sastri" title="Bapudeva Sastri">Bapudeva Sastri</a> (1821–1900)</li> <li><a href="/w/index.php?title=Shankar_Balakrishna_Dikshit&amp;action=edit&amp;redlink=1" class="new" title="Shankar Balakrishna Dikshit (page does not exist)">Shankar Balakrishna Dikshit</a> (1853–1898)</li> <li><a href="/wiki/Sudhakara_Dvivedi" title="Sudhakara Dvivedi">Sudhakara Dvivedi</a> (1855–1910)</li> <li><a href="/w/index.php?title=M._Rangacarya&amp;action=edit&amp;redlink=1" class="new" title="M. Rangacarya (page does not exist)">M. Rangacarya</a> (1861–1916)</li> <li><a href="/wiki/P._C._Sengupta" class="mw-redirect" title="P. C. Sengupta">P. C. Sengupta</a> (1876–1962)</li> <li><a href="/wiki/B._B._Datta" class="mw-redirect" title="B. B. Datta">B. B. Datta</a> (1888–1958)</li> <li><a href="/wiki/Takao_Hayashi" title="Takao Hayashi">T. Hayashi</a></li> <li><a href="/w/index.php?title=A._A._Krishnaswamy_Ayyangar&amp;action=edit&amp;redlink=1" class="new" title="A. A. Krishnaswamy Ayyangar (page does not exist)">A. A. Krishnaswamy Ayyangar</a> (1892– 1953)</li> <li><a href="/wiki/Avadhesh_Narayan_Singh" title="Avadhesh Narayan Singh">A. N. Singh</a> (1901–1954)</li> <li><a href="/wiki/C._T._Rajagopal" class="mw-redirect" title="C. T. Rajagopal">C. T. Rajagopal</a> (1903–1978)</li> <li><a href="/wiki/T._A._Saraswati_Amma" class="mw-redirect" title="T. A. Saraswati Amma">T. A. Saraswati Amma</a> (1918–2000)</li> <li><a href="/w/index.php?title=S._N._Sen&amp;action=edit&amp;redlink=1" class="new" title="S. N. Sen (page does not exist)">S. N. Sen</a> (1918–1992)</li> <li><a href="/wiki/K._S._Shukla" class="mw-redirect" title="K. S. Shukla">K. S. Shukla</a> (1918–2007)</li> <li><a href="/wiki/K._V._Sarma" title="K. V. Sarma">K. V. Sarma</a> (1919–2005)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Translators</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Walter_Eugene_Clark" title="Walter Eugene Clark">Walter Eugene Clark</a></li> <li><a href="/wiki/Henry_Thomas_Colebrooke" title="Henry Thomas Colebrooke">Henry Thomas Colebrooke </a></li> <li><a href="/wiki/David_Pingree" title="David Pingree">David Pingree</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other regions</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Babylonian_mathematics" title="Babylonian mathematics">Babylon</a></li> <li><a href="/wiki/Chinese_mathematics" title="Chinese mathematics">China</a></li> <li><a href="/wiki/Greek_mathematics" title="Greek mathematics">Greece</a></li> <li><a href="/wiki/Mathematics_in_the_medieval_Islamic_world" title="Mathematics in the medieval Islamic world">Islamic mathematics</a></li> <li><a href="/wiki/History_of_mathematics#Medieval_European_mathematics" title="History of mathematics">Europe</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Modern<br /> institutions</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Indian_Statistical_Institute" title="Indian Statistical Institute">Indian Statistical Institute</a></li> <li><a href="/wiki/Bhaskaracharya_Pratishthana" title="Bhaskaracharya Pratishthana">Bhaskaracharya Pratishthana</a></li> <li><a href="/wiki/Chennai_Mathematical_Institute" title="Chennai Mathematical Institute">Chennai Mathematical Institute</a></li> <li><a href="/wiki/Institute_of_Mathematical_Sciences,_Chennai" title="Institute of Mathematical Sciences, Chennai">Institute of Mathematical Sciences</a></li> <li><a href="/wiki/Indian_Institute_of_Science" title="Indian Institute of Science">Indian Institute of Science</a></li> <li><a href="/wiki/Harish-Chandra_Research_Institute" title="Harish-Chandra Research Institute">Harish-Chandra Research Institute</a></li> <li><a href="/wiki/Homi_Bhabha_Centre_for_Science_Education" title="Homi Bhabha Centre for Science Education">Homi Bhabha Centre for Science Education</a></li> <li><a href="/wiki/Ramanujan_Institute_for_Advanced_Study_in_Mathematics" title="Ramanujan Institute for Advanced Study in Mathematics">Ramanujan Institute for Advanced Study in Mathematics</a></li> <li><a href="/wiki/Tata_Institute_of_Fundamental_Research" title="Tata Institute of Fundamental Research">TIFR</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Indian_astronomy" style="padding:3px"><table class="nowraplinks mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Indian_astronomy" title="Template:Indian astronomy"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Indian_astronomy" title="Template talk:Indian astronomy"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Indian_astronomy" title="Special:EditPage/Template:Indian astronomy"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Indian_astronomy" style="font-size:114%;margin:0 4em"><a href="/wiki/Indian_astronomy" title="Indian astronomy">Indian astronomy</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Astronomers</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Apastamba" class="mw-redirect" title="Apastamba">Apastamba</a></li> <li><a href="/wiki/Aryabhata" title="Aryabhata">Aryabhata I</a></li> <li><a class="mw-selflink selflink">Aryabhata II</a></li> <li><a href="/wiki/Vainu_Bappu" title="Vainu Bappu">Vainu Bappu</a></li> <li><a href="/wiki/Bh%C4%81skara_I" title="Bhāskara I">Bhāskara I</a></li> <li><a href="/wiki/Bh%C4%81skara_II" title="Bhāskara II">Bhāskara II</a></li> <li><a href="/wiki/Baudhayana" class="mw-redirect" title="Baudhayana">Baudhayana</a></li> <li><a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a></li> <li><a href="/wiki/Sandip_Chakrabarti" title="Sandip Chakrabarti">Sandip Chakrabarti</a></li> <li><a href="/wiki/Radhagobinda_Chandra" class="mw-redirect" title="Radhagobinda Chandra">Radhagobinda Chandra</a></li> <li><a href="/wiki/Subrahmanyan_Chandrasekhar" title="Subrahmanyan Chandrasekhar">Subrahmanyan Chandrasekhar</a></li> <li><a href="/wiki/Amil_Kumar_Das" class="mw-redirect" title="Amil Kumar Das">Amil Kumar Das</a></li> <li><a href="/wiki/P_Devadas" class="mw-redirect" title="P Devadas">P. Devadas</a></li> <li><a href="/wiki/Gautama_Siddha" title="Gautama Siddha">Gautama Siddha</a></li> <li><a href="/wiki/M_K_Das_Gupta" class="mw-redirect" title="M K Das Gupta">M. K. Das Gupta</a></li> <li><a href="/wiki/Jyesthadeva" class="mw-redirect" title="Jyesthadeva">Jyesthadeva</a></li> <li><a href="/wiki/Kamalakara" title="Kamalakara">Kamalakara</a></li> <li><a href="/wiki/Katyayana" class="mw-redirect" title="Katyayana">Katyayana</a></li> <li><a href="/wiki/Lagadha" class="mw-redirect" title="Lagadha">Lagadha</a></li> <li><a href="/wiki/Lalla" title="Lalla">Lalla</a></li> <li><a href="/wiki/Madhava_of_Sangamagrama" title="Madhava of Sangamagrama">Madhava of Sangamagrama</a></li> <li><a href="/wiki/Prasanta_Chandra_Mahalanobis" title="Prasanta Chandra Mahalanobis">Prasanta Chandra Mahalanobis</a></li> <li><a href="/wiki/Mahavira_(mathematician)" class="mw-redirect" title="Mahavira (mathematician)">Mahavira</a></li> <li><a href="/wiki/Manava" title="Manava">Manava</a></li> <li><a href="/wiki/Jayant_Narlikar" title="Jayant Narlikar">Jayant Narlikar</a></li> <li><a href="/wiki/Parameshvara" class="mw-redirect" title="Parameshvara">Parameshvara</a></li> <li><a href="/wiki/Achyuta_Pisharati" class="mw-redirect" title="Achyuta Pisharati">Achyuta Pisharati</a></li> <li><a href="/wiki/Venkatraman_Radhakrishnan" title="Venkatraman Radhakrishnan">Venkatraman Radhakrishnan</a></li> <li><a href="/wiki/J._J._Rawal" class="mw-redirect" title="J. J. Rawal">J. J. Rawal</a></li> <li><a href="/wiki/Megh_Nad_Saha" class="mw-redirect" title="Megh Nad Saha">Megh Nad Saha</a></li> <li><a href="/wiki/Jagannatha_Samrat" title="Jagannatha Samrat">Jagannatha Samrat</a></li> <li><a href="/wiki/Bapudeva_Sastri" title="Bapudeva Sastri">Bapudeva Sastri</a></li> <li><a href="/wiki/Jai_Singh_II_of_Amber" class="mw-redirect" title="Jai Singh II of Amber">Jai Singh II of Amber</a></li> <li><a href="/wiki/Nilakantha_Somayaji" title="Nilakantha Somayaji">Nilakantha Somayaji</a></li> <li><a href="/wiki/Sripati" class="mw-redirect" title="Sripati">Sripati</a></li> <li><a href="/wiki/Mahendra_Suri" class="mw-redirect" title="Mahendra Suri">Mahendra Suri</a></li> <li><a href="/wiki/Govind_Swarup" title="Govind Swarup">Govind Swarup</a></li> <li><a href="/wiki/Utpala_(astronomer)" title="Utpala (astronomer)">Utpala</a></li> <li><a href="/wiki/Varahamihira" class="mw-redirect" title="Varahamihira">Varahamihira</a></li> <li><a href="/wiki/Shankara_Variyar" class="mw-redirect" title="Shankara Variyar">Shankara Variyar</a></li> <li><a href="/wiki/Vasistha" class="mw-redirect" title="Vasistha">Vasistha</a></li> <li><a href="/wiki/Yajnavalkya" title="Yajnavalkya">Yajnavalkya</a></li> <li><a href="/wiki/Pathani_Samanta" title="Pathani Samanta">Pathani Samanta</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Works</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Aryabhatiya" title="Aryabhatiya">Aryabhatiya</a></i></li> <li><i><b><a href="/wiki/Brahmana" title="Brahmana">Brahmanas</a></b></i> <ul><li><i><a href="/wiki/Aitareya_Brahmana" title="Aitareya Brahmana">Aitareya Brahmana</a></i></li> <li><i><a href="/wiki/Shatapatha_Brahmana" title="Shatapatha Brahmana">Shatapatha Brahmana</a></i></li></ul></li> <li><i><span title="International Alphabet of Sanskrit transliteration"><i lang="sa-Latn"><a href="/wiki/B%E1%B9%9Bhat_Sa%E1%B9%83hit%C4%81" title="Bṛhat Saṃhitā">Bṛhat Saṃhitā</a></i></span></i></li> <li><i><a href="/wiki/Ganitagannadi" title="Ganitagannadi">Ganitagannadi</a></i></li> <li><i><a href="/wiki/Jyotirmimamsa" title="Jyotirmimamsa">Jyotirmimamsa</a></i></li> <li><i><a href="/wiki/Shulba_Sutras" title="Shulba Sutras">Shulba Sutras</a></i></li> <li><i><a href="/wiki/Panchangam" title="Panchangam">Panchangam</a></i></li> <li><i><a href="/wiki/Khandakhadyaka" title="Khandakhadyaka">Khandakhadyaka</a></i></li> <li><i><a href="/wiki/Mahadevi_(astronomy_book)" title="Mahadevi (astronomy book)">Mahādevī</a></i></li> <li><i><a href="/wiki/Makarandasarini" title="Makarandasarini">Makarandasarini</a></i></li> <li><i><b><a href="/wiki/Siddhanta_(astronomy)" class="mw-redirect" title="Siddhanta (astronomy)">Siddhantas</a></b></i> <ul><li><i><a href="/wiki/Br%C4%81hmasphu%E1%B9%ADasiddh%C4%81nta" title="Brāhmasphuṭasiddhānta">Brāhmasphuṭasiddhānta</a></i></li> <li><i><a href="/wiki/Maha-Siddhanta" class="mw-redirect" title="Maha-Siddhanta">Maha-Siddhanta</a></i></li> <li><i><a href="/wiki/Pancha-siddhantika" title="Pancha-siddhantika">Pancha-Siddhantika</a></i></li> <li><i><a href="/wiki/Paulisa_Siddhanta" title="Paulisa Siddhanta">Paulisa Siddhanta</a></i></li> <li><i><a href="/wiki/Paitamaha_Siddhanta" class="mw-redirect" title="Paitamaha Siddhanta">Paitamaha Siddhanta</a></i></li> <li><a href="/wiki/R%C4%81jam%E1%B9%9Bg%C4%81%E1%B9%85ka_(astronomy_book)" title="Rājamṛgāṅka (astronomy book)">Rājamṛgāṅka (astronomy book)</a></li> <li><i><a href="/wiki/Romaka_Siddhanta" title="Romaka Siddhanta">Romaka Siddhanta</a></i></li> <li><i><a href="/wiki/Surya_Siddhanta" title="Surya Siddhanta">Surya Siddhanta</a></i></li> <li><i><a href="/wiki/Vasishtha_Siddhanta" title="Vasishtha Siddhanta">Vasishtha Siddhanta</a></i></li></ul></li> <li><i><a href="/wiki/Tantrasangraha" class="mw-redirect" title="Tantrasangraha">Tantrasangraha</a></i></li> <li><i><a href="/wiki/Treatise_on_Astrology_of_the_Kaiyuan_Era" title="Treatise on Astrology of the Kaiyuan Era">Treatise on Astrology of the Kaiyuan Era</a></i></li> <li><i><a href="/wiki/V%C4%81kyakara%E1%B9%87a" title="Vākyakaraṇa">Vākyakaraṇa</a></i></li> <li><i><a href="/wiki/Vedanga_Jyotisha" title="Vedanga Jyotisha">Vedanga Jyotisha</a></i></li> <li><i><b><a href="/wiki/Vedas" title="Vedas">Vedas</a></b></i> <ul><li><i><a href="/wiki/Atharvaveda" title="Atharvaveda">Atharvaveda</a></i></li> <li><i><a href="/wiki/Rigveda" title="Rigveda">Rigveda</a></i></li></ul></li> <li><i><a href="/wiki/Yavanajataka" title="Yavanajataka">Yavanajataka</a></i></li> <li><i><a href="/wiki/Zij" title="Zij">Zij</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Instruments</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Armillary_sphere" title="Armillary sphere">Armillary sphere</a></li> <li><a href="/wiki/Astrolabe" title="Astrolabe">Astrolabe</a></li> <li><a href="/wiki/Armillary_sphere" title="Armillary sphere">Celestial globe</a></li> <li><a href="/wiki/Compass" title="Compass">Compass</a></li> <li><a href="/wiki/Jacob%27s_staff" title="Jacob&#39;s staff">Cross-staff</a></li> <li><a href="/wiki/Dioptra" title="Dioptra">Dioptra</a></li> <li><a href="/wiki/Equatorial_ring" title="Equatorial ring">Equatorial ring</a></li> <li><a href="/wiki/Equatorial_sundial" class="mw-redirect" title="Equatorial sundial">Equatorial sundial</a></li> <li><a href="/wiki/Globe" title="Globe">Globe</a></li> <li><a href="/wiki/Gnomon" title="Gnomon">Gnomon</a></li> <li><a href="/wiki/Mural_instrument" title="Mural instrument">Mural instrument</a></li> <li><a href="/wiki/Quadrant_(instrument)" title="Quadrant (instrument)">Quadrant</a></li> <li><a href="/wiki/Sextant_(astronomical)" class="mw-redirect" title="Sextant (astronomical)">Sextant</a></li> <li><a href="/wiki/Sundial" title="Sundial">Sundial</a></li> <li><a href="/wiki/Triquetrum_(astronomy)" title="Triquetrum (astronomy)">Triquetrum</a></li> <li><a href="/wiki/Water_clock" title="Water clock">Water clock</a></li> <li><a href="/wiki/Yantraraja" title="Yantraraja">Yantraraja</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Axial_tilt" title="Axial tilt">Axial tilt</a></li> <li><a href="/wiki/Azimuth" title="Azimuth">Azimuth</a></li> <li><a href="/wiki/Cardinal_direction" title="Cardinal direction">Cardinal direction</a></li> <li><a href="/wiki/Celestial_equator" title="Celestial equator">Celestial equator</a></li> <li><a href="/wiki/Celestial_sphere" title="Celestial sphere">Celestial sphere</a></li> <li><a href="/wiki/Celestial_spheres" title="Celestial spheres">Celestial spheres</a></li> <li><a href="/wiki/Center_of_mass" title="Center of mass">Center of mass</a></li> <li><a href="/wiki/Circular_orbit" title="Circular orbit">Circular orbit</a></li> <li><a href="/wiki/Deferent_and_epicycle" title="Deferent and epicycle">Deferent and epicycle</a></li> <li><a href="/wiki/Earth%27s_rotation" title="Earth&#39;s rotation">Earth's rotation</a></li> <li><a href="/wiki/Orbital_eccentricity" title="Orbital eccentricity">Eccentricity</a></li> <li><a href="/wiki/Ecliptic" title="Ecliptic">Ecliptic</a></li> <li><a href="/wiki/Elliptic_orbit" title="Elliptic orbit">Elliptic orbit</a></li> <li><a href="/wiki/Equant" title="Equant">Equant</a></li> <li><a href="/wiki/Geocentric_model" title="Geocentric model">Geocentrism</a></li> <li><a href="/wiki/Tychonic_system" title="Tychonic system">Geoheliocentrism</a></li> <li><a href="/wiki/Globe" title="Globe">Globe</a></li> <li><a href="/wiki/Gravitation" class="mw-redirect" title="Gravitation">Gravity</a></li> <li><a href="/wiki/Heliocentrism" title="Heliocentrism">Heliocentrism</a></li> <li><a href="/wiki/Hindu_units_of_time" title="Hindu units of time">Hindu units of time</a></li> <li><span title="International Alphabet of Sanskrit transliteration"><i lang="sa-Latn"><a href="/wiki/Jyoti%E1%B9%A3a" class="mw-redirect" title="Jyotiṣa">Jyotiṣa</a></i></span></li> <li><a href="/wiki/Kali_ahargana" title="Kali ahargana">Kali ahargaṇa</a></li> <li><b><a href="/wiki/Kalpa_(aeon)" class="mw-redirect" title="Kalpa (aeon)">Kalpa</a></b></li> <li><a href="/wiki/Karana_(pancanga)" class="mw-redirect" title="Karana (pancanga)">Karana</a></li> <li><a href="/wiki/Manvantara" title="Manvantara">Manvantara</a></li> <li><a href="/wiki/Moonlight" title="Moonlight">Moonlight</a></li> <li><a href="/wiki/Nakshatra" title="Nakshatra">Nakshatra</a></li> <li><a href="/wiki/Nityayoga" title="Nityayoga">Nityayoga</a></li> <li><a href="/wiki/Parallax" title="Parallax">Parallax</a></li> <li><a href="/wiki/Precession" title="Precession">Precession</a></li> <li><a href="/wiki/Ritu_(Indian_season)" class="mw-redirect" title="Ritu (Indian season)">Ritu</a></li> <li><a href="/wiki/Spherical_Earth" title="Spherical Earth">Spherical Earth</a></li> <li><a href="/wiki/Sunlight" title="Sunlight">Sunlight</a></li> <li><a href="/wiki/Tithi" title="Tithi">Tithi</a></li> <li><a href="/wiki/V%C4%81ra_(astronomy)" title="Vāra (astronomy)">Vāra</a></li> <li><b><a href="/wiki/Yuga" title="Yuga">Yuga</a></b></li> <li><a href="/wiki/Astrological_sign" title="Astrological sign">Zodiacal sign</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Centres</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Jantar_Mantar" title="Jantar Mantar">Jantar Mantar</a> <ul><li><a href="/wiki/Jantar_Mantar,_Jaipur" title="Jantar Mantar, Jaipur">Jaipur</a></li> <li><a href="/wiki/Jantar_Mantar,_New_Delhi" title="Jantar Mantar, New Delhi">New Delhi</a></li> <li><a href="/wiki/Jantar_Mantar,_Ujjain" title="Jantar Mantar, Ujjain">Ujjain</a></li> <li><a href="/wiki/Jantar_Mantar,_Varanasi" title="Jantar Mantar, Varanasi">Varanasi</a></li></ul></li> <li><a href="/wiki/Kerala_school_of_astronomy_and_mathematics" title="Kerala school of astronomy and mathematics">Kerala school of astronomy and mathematics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other regions</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Babylonian_astronomy" title="Babylonian astronomy">Babylonian astronomy</a></li> <li><a href="/wiki/Ancient_Greek_astronomy" title="Ancient Greek astronomy">Ancient Greek astronomy</a></li> <li><a href="/wiki/Ancient_Greek_astronomy#Hellenistic_astronomy" title="Ancient Greek astronomy">Hellenistic astronomy</a></li> <li><a href="/wiki/Astronomy_in_medieval_Islam" class="mw-redirect" title="Astronomy in medieval Islam">Islamic astronomy</a></li> <li><a href="/wiki/Chinese_astronomy" title="Chinese astronomy">Chinese astronomy</a></li> <li><a href="/wiki/Science_in_Medieval_Western_Europe" class="mw-redirect" title="Science in Medieval Western Europe">European astronomy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Months of the<br /><a href="/wiki/Hindu_calendar" title="Hindu calendar">Vedic calendar</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ol><li><a href="/wiki/Chaitra" title="Chaitra">Chaitra</a></li> <li><a href="/wiki/Vaisakha" class="mw-redirect" title="Vaisakha">Vaisakha</a></li> <li><a href="/wiki/Jyeshtha_(month)" title="Jyeshtha (month)">Jyeshta</a></li> <li><a href="/wiki/Aashaadha" class="mw-redirect" title="Aashaadha">Aashaadha</a></li> <li><a href="/wiki/Shraavana" class="mw-redirect" title="Shraavana">Shraavana</a></li> <li><a href="/wiki/Bhaadra" class="mw-redirect" title="Bhaadra">Bhadrapada</a></li> <li><a href="/wiki/Ashvin_(month)" title="Ashvin (month)">Ashvin</a></li> <li><a href="/wiki/Kartika_(month)" class="mw-redirect" title="Kartika (month)">Kartik</a></li> <li><a href="/wiki/Agrahayana" title="Agrahayana"> Margashirsha</a></li> <li><a href="/wiki/Pausha" title="Pausha">Pausha</a></li> <li><a href="/wiki/Maagha" class="mw-redirect" title="Maagha">Maagha</a></li> <li><a href="/wiki/Phalguna" title="Phalguna">Phalguna</a></li></ol> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q404213#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q404213#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q404213#identifiers" title="Edit this at 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