https://www.vigyanwiki.in/index.php?action=history&feed=atom&title=%C5%9Ar%C4%ABdhara 2026-05-26T19:48:15Z Revision history for this page on the wiki MediaWiki 1.39.3 https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47493&oldid=prev 2022-12-16T04:13:35Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 09:43, 16 December 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l35">Line 35:</td> <td colspan="2" class="diff-lineno">Line 35:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== References ==</div></td><td class="diff-marker"></td><td style="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;"><div>== References ==</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;references /></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:CS1 français-language sources (fr)]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:CS1 maint]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:CS1 Ελληνικά-language sources (el)]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Citation Style 1 templates|W]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Collapse templates]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Indian Mathematicians]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category:<del style="font-weight: bold; text-decoration: none;">Indian Mathematicians</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Category:<ins style="font-weight: bold; text-decoration: none;">Navigational boxes| </ins>]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">&lt;references /&gt;</del></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Navigational boxes without horizontal lists]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Organic Articles English]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Organic Articles English]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category:<del style="font-weight: bold; text-decoration: none;">Vigyan Ready</del>]]</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Category:<ins style="font-weight: bold; text-decoration: none;">Pages with script errors]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Sidebars with styles needing conversion]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Template documentation pages|Documentation/doc]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates based on the Citation/CS1 Lua module]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates generating COinS|Cite web]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates generating microformats]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates that are not mobile friendly]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates used by AutoWikiBrowser|Cite web]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Templates using TemplateData]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Wikipedia fully protected templates|Cite web]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Wikipedia metatemplates</ins>]]</div></td></tr> </table>

Admin https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47371&oldid=prev 2022-12-16T04:11:57Z

<p>13 revisions imported from <a href="https://alpha.indicwiki.in/index.php?title=%C5%9Ar%C4%ABdhara" class="extiw" title="alpha:Śrīdhara">alpha:Śrīdhara</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en-GB"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 09:41, 16 December 2022</td> </tr><tr><td colspan="2" class="diff-notice" lang="en-GB"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Indicwiki https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47370&oldid=prev 2022-12-15T17:52:28Z

<p>Category added</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:22, 15 December 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l37">Line 37:</td> <td colspan="2" class="diff-lineno">Line 37:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Indian Mathematicians]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Indian Mathematicians]]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;references /></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Organic Articles English]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Vigyan Ready]]</ins></div></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47369&oldid=prev 2022-12-01T06:25:14Z

<p>external links title updated</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:55, 1 December 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l31">Line 31:</td> <td colspan="2" class="diff-lineno">Line 31:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== External Links ==</div></td><td class="diff-marker"></td><td style="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;"><div>== External Links ==</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/sridhara <del style="font-weight: bold; text-decoration: none;">Sridhara</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>* [https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/sridhara <ins style="font-weight: bold; text-decoration: none;">Śrīdhara</ins>]</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>* [https://www.jeevangatha.com/2020/04/indian-mathematician-sanskrit-pandit.html Indian-mathematician-sanskrit-pandit.html]</div></td><td class="diff-marker"></td><td style="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;"><div>* [https://www.jeevangatha.com/2020/04/indian-mathematician-sanskrit-pandit.html Indian-mathematician-sanskrit-pandit.html]</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47368&oldid=prev 2022-11-30T07:15:27Z

<p>Internal inks added</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:45, 30 November 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>Pāṭīgaṇita&lt;ref&gt;{{Cite web|title=Pāṭīgaṇita|url=https://ia903003.us.archive.org/11/items/Patiganita/Patiganita.pdf}}&lt;/ref&gt;  aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td><td class="diff-marker"></td><td style="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;"><div>Pāṭīgaṇita&lt;ref&gt;{{Cite web|title=Pāṭīgaṇita|url=https://ia903003.us.archive.org/11/items/Patiganita/Patiganita.pdf}}&lt;/ref&gt;  aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) [[<del style="font-weight: bold; text-decoration: none;">Trairasika </del>(Rule of Three)|trairāśika]] (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) [[<del style="font-weight: bold; text-decoration: none;">Trairasika </del>(Rule of Three)|pañcarāśika]] (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) [[<ins style="font-weight: bold; text-decoration: none;">Trairāśika </ins>(Rule of Three)|trairāśika]] (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) [[<ins style="font-weight: bold; text-decoration: none;">Trairāśika </ins>(Rule of Three)|pañcarāśika]] (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47367&oldid=prev 2022-11-28T09:43:54Z

<p>Abhishek moved page <a href="/index.php?title=Sridhara&amp;action=edit&amp;redlink=1" class="new" title="Sridhara (page does not exist)">Sridhara</a> to <a href="/wiki/%C5%9Ar%C4%ABdhara" title="Śrīdhara">Śrīdhara</a> without leaving a redirect</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en-GB"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:13, 28 November 2022</td> </tr><tr><td colspan="2" class="diff-notice" lang="en-GB"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

alpha>Abhishek https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47366&oldid=prev 2022-11-25T08:28:57Z

<p><span dir="auto"><span class="autocomment">See Also</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:58, 25 November 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Śrīdhara''', '''Śrīdharācārya''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. Śrīdhara was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations.&lt;ref&gt;{{Cite web|title=Śrīdhara|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>'''Śrīdhara''', '''Śrīdharācārya''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. Śrīdhara was an Indian mathematician who wrote on practical applications of <ins style="font-weight: bold; text-decoration: none;">[[</ins>algebra<ins style="font-weight: bold; text-decoration: none;">]] </ins>and was one of the first to give a formula for solving <ins style="font-weight: bold; text-decoration: none;">[[Equations|</ins>quadratic equations<ins style="font-weight: bold; text-decoration: none;">]]</ins>.&lt;ref&gt;{{Cite web|title=Śrīdhara|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>Śrīdhara is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''. ''Bījagaṇita'', ''Navaśati'', and  ''Bṛhatpāṭī''  are the other works from Śrīdhara.</div></td><td class="diff-marker"></td><td style="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;"><div>Śrīdhara is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''. ''Bījagaṇita'', ''Navaśati'', and  ''Bṛhatpāṭī''  are the other works from Śrīdhara.</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>Pāṭīgaṇita&lt;ref&gt;{{Cite web|title=Pāṭīgaṇita|url=https://ia903003.us.archive.org/11/items/Patiganita/Patiganita.pdf}}&lt;/ref&gt;  aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td><td class="diff-marker"></td><td style="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;"><div>Pāṭīgaṇita&lt;ref&gt;{{Cite web|title=Pāṭīgaṇita|url=https://ia903003.us.archive.org/11/items/Patiganita/Patiganita.pdf}}&lt;/ref&gt;  aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) <ins style="font-weight: bold; text-decoration: none;">[[Trairasika (Rule of Three)|</ins>trairāśika<ins style="font-weight: bold; text-decoration: none;">]] </ins>(rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) <ins style="font-weight: bold; text-decoration: none;">[[Trairasika (Rule of Three)|</ins>pañcarāśika<ins style="font-weight: bold; text-decoration: none;">]] </ins>(rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In mixtures of things (miśraka), Śrīdharācārya deals with (i) simple interest, (ii) alligation of gold, (iii) partnership, (iv) purchase and sale, (v) meeting of two travellers, (vi) wages and payments, (vii) the well-known cistern problem, (viii) wages paid out of the commodity, (ix) combination of savours, and (x) certain special problems reducing to the solution of simple and quadratic equations. In series (śreḍhī) he deals. with arithmetic and geometric series as well as with series of squares, cubes, and successive sums of series in arithmetic progression. In the surviving part of the section dealing with plane figures, he gives rules for finding the areas of triangles and quadrilaterals.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>In mixtures of things (miśraka), Śrīdharācārya deals with (i) simple interest, (ii) alligation of gold, (iii) partnership, (iv) purchase and sale, (v) meeting of two travellers, (vi) wages and payments, (vii) the well-known cistern problem, (viii) wages paid out of the commodity, (ix) combination of savours, and (x) certain special problems reducing to the solution of simple and quadratic equations. In series (śreḍhī) he deals. with arithmetic and geometric series as well as with series of squares, cubes, and successive sums of series in <ins style="font-weight: bold; text-decoration: none;">[[</ins>arithmetic progression<ins style="font-weight: bold; text-decoration: none;">]]</ins>. In the surviving part of the section dealing with plane figures, he gives rules for finding the areas of triangles and quadrilaterals.</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== Pāṭīgaṇitasara (Trisatika ) ==</div></td><td class="diff-marker"></td><td style="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;"><div>== Pāṭīgaṇitasara (Trisatika ) ==</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l30">Line 30:</td> <td colspan="2" class="diff-lineno">Line 30:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== External Links ==</div></td><td class="diff-marker"></td><td style="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;"><div>== External Links ==</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/sridhara Sridhara]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">* [https://www.jeevangatha.com/2020/04/indian-mathematician-sanskrit-pandit.html Indian-mathematician-sanskrit-pandit.html]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== References ==</div></td><td class="diff-marker"></td><td style="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;"><div>== References ==</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Mathematics]]</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>[[Category:Indian Mathematicians]]</div></td><td class="diff-marker"></td><td style="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;"><div>[[Category:Indian Mathematicians]]</div></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47365&oldid=prev 2022-11-25T07:02:23Z

<p><span dir="auto"><span class="autocomment">Pāṭīgaṇita</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:32, 25 November 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Śrīdhara''', '''Śrīdharācārya''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. <del style="font-weight: bold; text-decoration: none;">Sridhara </del>was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations.&lt;ref&gt;{{Cite web|title=<del style="font-weight: bold; text-decoration: none;">Sridhara</del>|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>'''Śrīdhara''', '''Śrīdharācārya''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. <ins style="font-weight: bold; text-decoration: none;">Śrīdhara </ins>was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations.&lt;ref&gt;{{Cite web|title=<ins style="font-weight: bold; text-decoration: none;">Śrīdhara</ins>|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Sridhara </del>is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''. <del style="font-weight: bold; text-decoration: none;"> </del>''<del style="font-weight: bold; text-decoration: none;">Bijaganita</del>'', ''<del style="font-weight: bold; text-decoration: none;">Navasati</del>'', and ''<del style="font-weight: bold; text-decoration: none;">Brhatpati</del>'' are the other works from <del style="font-weight: bold; text-decoration: none;">Sridhara</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Śrīdhara </ins>is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''. ''<ins style="font-weight: bold; text-decoration: none;">Bījagaṇita</ins>'', ''<ins style="font-weight: bold; text-decoration: none;">Navaśati</ins>'', and <ins style="font-weight: bold; text-decoration: none;"> </ins>''<ins style="font-weight: bold; text-decoration: none;">Bṛhatpāṭī</ins>'' <ins style="font-weight: bold; text-decoration: none;"> </ins>are the other works from <ins style="font-weight: bold; text-decoration: none;">Śrīdhara</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== Pāṭīgaṇita ==</div></td><td class="diff-marker"></td><td style="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;"><div>== Pāṭīgaṇita ==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Pāṭīgaṇita  aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>Pāṭīgaṇita<ins style="font-weight: bold; text-decoration: none;">&lt;ref&gt;{{Cite web|title=Pāṭīgaṇita|url=https://ia903003.us.archive.org/11/items/Patiganita/Patiganita.pdf}}&lt;/ref&gt; </ins> aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td><td class="diff-marker"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47364&oldid=prev 2022-11-25T06:30:05Z

<p>Content Modified</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:00, 25 November 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>Sridhara is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''.  ''Bijaganita'', ''Navasati'', and ''Brhatpati'' are the other works from Sridhara.</div></td><td class="diff-marker"></td><td style="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;"><div>Sridhara is the author of two mathematical treatises, namely the ''Trisatika'' (''Pāṭīgaṇitasara'' ) and the ''Pāṭīgaṇita''.  ''Bijaganita'', ''Navasati'', and ''Brhatpati'' are the other works from Sridhara.</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Pāṭīgaṇita aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">== </ins>Pāṭīgaṇita <ins style="font-weight: bold; text-decoration: none;">==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Pāṭīgaṇita  </ins>aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita .  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td><td class="diff-marker"></td><td style="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;"><div>'''Logistics''': (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter of commodities), and (29) jīva-vikraya (sale of living beings).  </div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l9">Line 9:</td> <td colspan="2" class="diff-lineno">Line 10:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td><td class="diff-marker"></td><td style="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;"><div>'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber), (7) rāśi (heaps or mounds of grain), (8) chāyā (shadow), and (9) śūnya-tatva (the mathematics of zero).</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">In mixtures of things (miśraka), Śrīdharācārya deals with (i) simple interest, (ii) alligation of gold, (iii) partnership, (iv) purchase and sale, (v) meeting of two travellers, (vi) wages and payments, (vii) the well-known cistern problem, (viii) wages paid out of the commodity, (ix) combination of savours, and (x) certain special problems reducing to the solution of simple and quadratic equations. In series (śreḍhī) he deals. with arithmetic and geometric series as well as with series of squares, cubes, and successive sums of series in arithmetic progression. In the surviving part of the section dealing with plane figures, he gives rules for finding the areas of triangles and quadrilaterals.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">== Pāṭīgaṇitasara (Trisatika ) ==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Pāṭīgaṇitasara is an abstract of the Pāṭīgaṇita.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">It gives the important rules and examples of the Pāṭīgaṇita with slight modifications, alterations and additions here and there, and provides a short course of arithmetic and mensuration. </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">== Appreciation of Śrīdharācārya  ==</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>The works of Śrīdharācārya  were so popular which brought a great name to Śrīdharācārya . The following verse which is in appreciation of him both by the Hindus and Jainas gives an idea of the unique position attained by him as a mathematician.</div></td><td class="diff-marker"></td><td style="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;"><div>The works of Śrīdharācārya  were so popular which brought a great name to Śrīdharācārya . The following verse which is in appreciation of him both by the Hindus and Jainas gives an idea of the unique position attained by him as a mathematician.</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> </table>

alpha>Ramamurthy S https://www.vigyanwiki.in/index.php?title=%C5%9Ar%C4%ABdhara&diff=47363&oldid=prev 2022-11-24T17:28:19Z

<p>Content added</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en-GB"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:58, 24 November 2022</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Śrīdhara''', '''<del style="font-weight: bold; text-decoration: none;">Śrīdharācāryya</del>''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. Sridhara was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations.&lt;ref&gt;{{Cite web|title=Sridhara|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>'''Śrīdhara''', '''<ins style="font-weight: bold; text-decoration: none;">Śrīdharācārya</ins>''' or '''Śrīdhara Acharya''' (&lt;abbr&gt;c.&lt;/abbr&gt; 870 CE – &lt;abbr&gt;c.&lt;/abbr&gt; 930 CE) was an Indian mathematician, Sanskrit pundit and philosopher. Sridhara was an Indian mathematician who wrote on practical applications of algebra and was one of the first to give a formula for solving quadratic equations.&lt;ref&gt;{{Cite web|title=Sridhara|url=https://mathshistory.st-andrews.ac.uk/Biographies/Sridhara/}}&lt;/ref&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Sridhara is the author of two mathematical treatises, namely the ''Trisatika'' (''<del style="font-weight: bold; text-decoration: none;">Patiganitasara</del>'' ) and the ''<del style="font-weight: bold; text-decoration: none;">Patiganita</del>''.  ''Bijaganita'', ''Navasati'', and ''Brhatpati'' are the other works from Sridhara.</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>Sridhara is the author of two mathematical treatises, namely the ''Trisatika'' (''<ins style="font-weight: bold; text-decoration: none;">Pāṭīgaṇitasara</ins>'' ) and the ''<ins style="font-weight: bold; text-decoration: none;">Pāṭīgaṇita</ins>''.  ''Bijaganita'', ''Navasati'', and ''Brhatpati'' are the other works from Sridhara.</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">The </del>''<del style="font-weight: bold; text-decoration: none;">Patiganita</del>'' <del style="font-weight: bold; text-decoration: none;">is written in verse form. The book begins by providing tables </del>of <del style="font-weight: bold; text-decoration: none;">monetary </del>and <del style="font-weight: bold; text-decoration: none;">metrological units</del>. <del style="font-weight: bold; text-decoration: none;">Based on this algorithms are provided for carrying out the elementary arithmetical operations</del>, <del style="font-weight: bold; text-decoration: none;">squaring</del>, <del style="font-weight: bold; text-decoration: none;">cubing</del>, and <del style="font-weight: bold; text-decoration: none;">square root </del> and <del style="font-weight: bold; text-decoration: none;">cube root with natural numbers</del>.  </div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Pāṭīgaṇita aims at providing a complete course of arithmetic and mensuration. Logistics and determinations are the two main sections in Pāṭīgaṇita . </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">''</ins>'<ins style="font-weight: bold; text-decoration: none;">Logistics</ins>'''<ins style="font-weight: bold; text-decoration: none;">: (1) saṅkalita (addition), (2) vyvakalita (subtraction, (3) pratyutpanna (multiplication), (4) bhāgahāra (division), (5) varga (square), (6) varga-mūla (square root), (7) ghana (cube), (8) ghana-mūla (cube root), (9-16) the same operations for fractions, (17-22) kalāsavarṇa (reduction of fractions of six varieties), (23) trairāśika (rule of three), (24) vyasta-trairāśika(inverse rule of three), (25) pañcarāśika (rule of five), (26) sapta-rāśika (rule of seven), (27) nava-rāśika (rule of nine), (28) bhāṇḍa-pratibhāṇḍa (barter </ins>of <ins style="font-weight: bold; text-decoration: none;">commodities), </ins>and <ins style="font-weight: bold; text-decoration: none;">(29) jīva-vikraya (sale of living beings)</ins>.  </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">'''Determinations''': (1) miśraka (mixtures), (2) śreḍhī (series), (3) kṣetra (plane figures), (4) khāta (excavations), (5) citi (piles of bricks), (6) krākaca (sawn pieces of timber)</ins>, <ins style="font-weight: bold; text-decoration: none;">(7) rāśi (heaps or mounds of grain)</ins>, <ins style="font-weight: bold; text-decoration: none;">(8) chāyā (shadow)</ins>, and <ins style="font-weight: bold; text-decoration: none;">(9) śūnya-tatva (the mathematics of zero).</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">The works of Śrīdharācārya </ins> <ins style="font-weight: bold; text-decoration: none;">were so popular which brought a great name to Śrīdharācārya . The following verse which is in appreciation of him both by the Hindus and Jainas gives an idea of the unique position attained by him as a mathematician.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">उत्तरतो सुरनिलयं दक्षिणतो मलयपर्वतं यावत् । </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">प्रागपरोदधिमध्ये नो गणकः श्रीधरादन्यः ॥ </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">&quot;Up to the abode of the gods (Himalayas) towards the north </ins>and <ins style="font-weight: bold; text-decoration: none;">up to the Malaya mountain towards the south and between the eastern and western oceans, there is no mathematician except Śrīdhara</ins>.<ins style="font-weight: bold; text-decoration: none;">&quot;  </ins></div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>== See Also ==</div></td><td class="diff-marker"></td><td style="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;"><div>== See Also ==</div></td></tr> </table>

alpha>Ramamurthy S