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	<title>Aryabhata II - Revision history</title>
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	<updated>2026-08-18T04:33:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://en.bharatpedia.org/w/index.php?title=Aryabhata_II&amp;diff=167147&amp;oldid=prev</id>
		<title>imported&gt;Whiteguru: Importing Wikidata short description: &quot;Indian mathematician and astronomer&quot; (Shortdesc helper)</title>
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		<updated>2021-07-28T11:30:56Z</updated>

		<summary type="html">&lt;p&gt;Importing Wikidata &lt;a href=&quot;https://en.bharatpedia.org/wiki/Bharatpedia:Short_description&quot; class=&quot;extiw&quot; title=&quot;wikipedia:Short description&quot;&gt;short description&lt;/a&gt;: &amp;quot;Indian mathematician and astronomer&amp;quot; (&lt;a href=&quot;https://en.bharatpedia.org/wiki/Bharatpedia:Shortdesc_helper&quot; class=&quot;extiw&quot; title=&quot;wikipedia:Shortdesc helper&quot;&gt;Shortdesc helper&lt;/a&gt;)&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:00, 28 July 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Short description|Indian mathematician and astronomer}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Use dmy dates|date=July 2019}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Use dmy dates|date=July 2019}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Āryabhaṭa&amp;#039;&amp;#039;&amp;#039; (c. 920 &amp;amp;ndash; c. 1000) was an [[India]]n [[mathematician]] and [[astronomer]], and the author of the &amp;#039;&amp;#039;[[Maha-Siddhanta]]&amp;#039;&amp;#039;. The numeral II is given to him to distinguish him from the earlier and more influential [[Āryabhaṭa I|Āryabhaṭa&amp;amp;nbsp;I]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Āryabhaṭa&amp;#039;&amp;#039;&amp;#039; (c. 920 &amp;amp;ndash; c. 1000) was an [[India]]n [[mathematician]] and [[astronomer]], and the author of the &amp;#039;&amp;#039;[[Maha-Siddhanta]]&amp;#039;&amp;#039;. The numeral II is given to him to distinguish him from the earlier and more influential [[Āryabhaṭa I|Āryabhaṭa&amp;amp;nbsp;I]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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	<entry>
		<id>https://en.bharatpedia.org/w/index.php?title=Aryabhata_II&amp;diff=51261&amp;oldid=prev</id>
		<title>&gt;Amshpatten: /* Further reading */ temp add</title>
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		<updated>2020-12-10T18:52:42Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Further reading: &lt;/span&gt; temp add&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Use dmy dates|date=July 2019}}&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Āryabhaṭa&amp;#039;&amp;#039;&amp;#039; (c. 920 &amp;amp;ndash; c. 1000) was an [[India]]n [[mathematician]] and [[astronomer]], and the author of the &amp;#039;&amp;#039;[[Maha-Siddhanta]]&amp;#039;&amp;#039;. The numeral II is given to him to distinguish him from the earlier and more influential [[Āryabhaṭa I|Āryabhaṭa&amp;amp;nbsp;I]].&lt;br /&gt;
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==MahaSiddhanta==&lt;br /&gt;
Aryabhata&amp;#039;s most eminent work was Mahasiddhanta. The treatise consists of eighteen chapters and was written in the form of verse in Sanskrit. The initial twelve chapters deals with topics related to mathematical astronomy and covers the topics that Indian mathematicians of that period had already worked on. The various topics that have been included in these twelve chapters are: the longitudes of the planets, lunar and solar eclipses, 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.&lt;br /&gt;
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The next six chapters of the book includes topics such as geometry, geography and algebra, which were applied to calculate the longitudes of the planets. In about twenty verses in the treatise, he gives elaborate rules to solve the indeterminate equation: 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.&lt;br /&gt;
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==Other contributions to maths==&lt;br /&gt;
Aryabhata II also deduced a method to calculate the cube root of a number, but his method was already given by Aryabhata I, many years earlier. Indian mathematicians were very keen to give the correct sine tables 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.&lt;br /&gt;
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==References==&lt;br /&gt;
*{{MacTutor|id=Aryabhata_II|title=Aryabhata II}}&lt;br /&gt;
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==Further reading==&lt;br /&gt;
* {{cite encyclopedia | editor = Thomas Hockey | last = Vagiswari | first = A. | title=Āryabhaṭa II | encyclopedia = The Biographical Encyclopedia of Astronomers | publisher = Springer | year = 2007 | location = New York | page = 64 | url=http://islamsci.mcgill.ca/RASI/BEA/Aryabhata_II_BEA.htm | isbn=978-0-387-31022-0|display-editors=etal}} ([http://islamsci.mcgill.ca/RASI/BEA/Aryabhata_II_BEA.pdf PDF version])&lt;br /&gt;
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{{Indian mathematics}}&lt;br /&gt;
{{Indian astronomy}}&lt;br /&gt;
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{{DEFAULTSORT:Aryabhata 2}}&lt;br /&gt;
[[Category:10th-century Indian astronomers]]&lt;br /&gt;
[[Category:Year of birth uncertain]]&lt;br /&gt;
[[Category:920s births]]&lt;br /&gt;
[[Category:1000s deaths]]&lt;br /&gt;
[[Category:10th-century Indian mathematicians]]&lt;br /&gt;
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		<author><name>&gt;Amshpatten</name></author>
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