{"id":28766,"date":"2021-04-20T08:32:06","date_gmt":"2021-04-20T13:32:06","guid":{"rendered":"https:\/\/www.isvara.org\/archive\/?p=28766"},"modified":"2021-12-20T08:34:34","modified_gmt":"2021-12-20T13:34:34","slug":"explained-how-indian-mathematicians-calculated-the-value-of-pi","status":"publish","type":"post","link":"https:\/\/www.isvara.org\/archive\/explained-how-indian-mathematicians-calculated-the-value-of-pi\/","title":{"rendered":"Explained: How Indian Mathematicians Calculated The Value Of Pi \u00a0"},"content":{"rendered":"<div class=\"_2PqtR\">\n<h1>\u00a0<\/h1>\n<div class=\"_23eFk\">\n<div class=\"_3QXmM\">\n<div class=\"_3b0bV\">by <a class=\"_3VTqo\" href=\"https:\/\/swarajyamag.com\/author\/17513\/Swarajya%20Staff\" rel=\"nofollow noopener\" target=\"_blank\">Swarajya Staff<\/a><span class=\"hyphen\">&#8211; <\/span><span class=\"_3GZgQ\">Mar 27, 2017 08:14 AM<\/span><\/div>\n<div class=\"_JscD\">\n<div class=\"_17oQT\">\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"_3-lXG\">\n<div class=\"_1sMRD\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-28767 aligncenter\" src=\"https:\/\/www.isvara.org\/archive\/wp-content\/uploads\/swarajya-2017-03-16a04b9f-5588-4620-b1b1-5b1983d984e4-Madhava-300x169.png\" alt=\"\" width=\"300\" height=\"169\" srcset=\"https:\/\/www.isvara.org\/archive\/wp-content\/uploads\/swarajya-2017-03-16a04b9f-5588-4620-b1b1-5b1983d984e4-Madhava-300x169.png 300w, https:\/\/www.isvara.org\/archive\/wp-content\/uploads\/swarajya-2017-03-16a04b9f-5588-4620-b1b1-5b1983d984e4-Madhava.png 519w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/div>\n<div>\u00a0<\/div>\n<div class=\"_1sMRD\"><span class=\"_3n7EQ\">The Mathematician Madhava arrived at the approximate value of Pi in the 14 century.<\/span><\/div>\n<div class=\"_2Ii2B\">\n<div class=\"ntw8h\">\n<div id=\"43d52a48-87fd-4d38-8854-0b3e6f787b7f\">\n<div class=\"_2-cdL _1CjbM\">\n<div class=\"_1ndoe\">\n<h5>Snapshot<\/h5>\n<\/div>\n<div class=\"lRxtW\">\n<ul>\n<li>\n<div class=\"story-element story-element-text story-element-text-summary\">\n<div>\n<p>How were Indians so comfortable with the concept of pi before anybody else? Watch to know.<\/p>\n<\/div>\n<\/div>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"story-element story-element-text\">\n<div>\n<p>Mathematics in India has a rich history. Indian mathematicians Madhava and Aryabhata made very significant contributions in finding the exact value of \u03c0 (pi).<\/p>\n<p>Professor K Ramasubramanian, who teaches at the Department of Humanities and Social Sciences, IIT Bombay, has wonderfully explained the history of calculation of pi in India in a recent video.<\/p>\n<p><div class=\"entry-content-asset videofit\"><iframe loading=\"lazy\" title=\"9. Computing \u03c0 - The Indian Method\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zKlKzau_bsE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/p>\n<p>Of the various infinite series representation of pi, one of the oldest is today ascribed to is Gregory and Leibniz.<\/p>\n<p>\u201cBut almost three hundred years before Gregory and Leibniz&#8217;s formula came to the fore, there was a series which was codified in the form of a verse by an Indian mathematician Madhava,\u201d he says.<\/p>\n<p>\u201cIf the series were to be given a name which honours the founder, then it should be called Madhava series instead of Gregory-Leibniz series,\u201d he said.<\/p>\n<p>So what was the context in which people wanted to know the value of Pi in the Indian tradition?<\/p>\n<\/div>\n<\/div>\n<div class=\"story-element story-element-youtube-video\">\n<div class=\"\"><iframe loading=\"lazy\" id=\"widget2\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/zKlKzau_bsE?autoplay=0&amp;enablejsapi=1&amp;origin=https%3A%2F%2Fswarajyamag.com&amp;widgetid=1\" width=\"640\" height=\"360\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<\/div>\n<div class=\"story-element story-element-text\">\n<div>\n<p>One of the reasons why Indians would have wanted to know the value of pi, would have been for the construction of altars for havana. According to Professor Ramasubramanian, each household was supposed to have three of them\u2014one square, one circular, and third semi-circular one. The only condition was that the area of all the three altars be the same. This would have made it necessary for the society to be aware of the value of pi.<\/p>\n<p>The other Indic mathematical genius to calculate the value of pi, upto four digits after decimal, was Aryabhata. In the the video embedded, Prof Ramasubramanian quotes and explains the exact verses of Aryabhata where he deals with the value of pi.<\/p>\n<p>Video courtesy <a href=\"http:\/\/shaale.com\/\" rel=\"nofollow noopener\" target=\"_blank\">Shaale<\/a>. Shaale is a platform that strives to document &amp; reach Traditional Indian arts &amp; literature worldwide through online courses, live webcasts, mobile apps and more.<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<div class=\"single-thread-container\">\n<div class=\"metype-comment-thread metype-comment\">\n<div class=\"metype-comment__initial comment-post-body\">\n<div class=\"metype-comment-body shown\">\n<div class=\"author-name-date metype-clickable\"><a class=\"author-name\">Sadovnik Socratus <\/a><time class=\"timestamp\" datetime=\"2020-10-11T11:47:58.520Z\">11 Oct 2020 at 6:47 AM<\/time><\/div>\n<div>\n<div>\n<div class=\"comment-body\">God is Mathematician and many-many years ago He created Pi. . . . And today, March 14 is recognized across the math world as Pi Day, <br \/>\nas the day when God created Pi = 3, 141592 . . . <br \/>\n===<\/div>\n<\/div>\n<\/div>\n<div class=\"action-buttons\">\n<div class=\"reaction-count\">\n<div class=\"not-reacted heart\">\u00a0<\/div>\n<p>Like<\/p><\/div>\n<p><a class=\"action-link reply-button\">Reply<\/a><\/p>\n<div class=\"share-component-wrapper\"><a class=\"share-component-wrapper__share-link\"> Share<\/a><\/div>\n<\/div>\n<\/div>\n<div class=\"vertical-action-comment-menu\">\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"single-thread-container\">\n<div class=\"metype-comment-thread metype-comment\">\n<div class=\"metype-comment__initial comment-post-body\">\n<div class=\"author-image-container\"><img decoding=\"async\" class=\"author-image\" src=\"https:\/\/fea.assettype.com\/quintype-metype\/assets\/icons\/author-b1d7806ace0e485f0f7374762a004506a82bec54e49e5cf9a38fde56bc1f0ae6.png\" \/><\/div>\n<div class=\"metype-comment-body shown\">\n<div class=\"author-name-date metype-clickable\"><a class=\"author-name\">rohan_M <\/a><time class=\"timestamp\" datetime=\"2017-04-03T08:29:39.000Z\">3 Apr 2017 at 3:29 AM<\/time><\/div>\n<div>\n<div>\n<div class=\"comment-body\">The ACPO team produced a Si-28 spheres with diameters of 9.375 Centimeters. The specific gravity of Si is 2.3296 gr cc. The Weight of <\/p>\n<p>the Si-28 sphere is 1000 grams.Therefore, the volume of the sphere is 429.26 cc. This gives the value of Pi at 3.1258 (3.125763), which is <\/p>\n<p>closest to Babylonian value of pi. Will the Perfect Sphere of Si-28 give a Perfect Value for Pi ? <\/p>\n<p><span class=\"comment-body-seemore\">See More&#8230;<\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"action-buttons\">\n<div class=\"reaction-count\">\n<div class=\"not-reacted heart\">\u00a0<\/div>\n<p>Like<\/p><\/div>\n<p><a class=\"action-link reply-button\">Reply<\/a><\/p>\n<div class=\"share-component-wrapper\"><a class=\"share-component-wrapper__share-link\"> Share<\/a><\/div>\n<\/div>\n<\/div>\n<div class=\"vertical-action-comment-menu\">\u00a0<\/div>\n<\/div>\n<section class=\"metype-comment__reply\">\n<div>\n<div class=\"child-comment\">\n<div class=\"comment-post-body\">\n<div class=\"author-image-container\"><img decoding=\"async\" class=\"author-image\" src=\"https:\/\/fea.assettype.com\/quintype-metype\/assets\/icons\/author-b1d7806ace0e485f0f7374762a004506a82bec54e49e5cf9a38fde56bc1f0ae6.png\" \/><\/div>\n<div class=\"author-info-comment-body metype-comment-body\">\n<div class=\"author-name-date\">\n<div>\u00a0<\/div>\n<p><a class=\"author-name metype-clickable\">Mohan<\/a><\/p>\n<div class=\"timestamp\"><time class=\"timestamp\" datetime=\"2017-04-25T14:28:43.000Z\">25 Apr 2017 at 9:28 AM<\/time><\/div>\n<\/div>\n<div>\n<div>\n<div class=\"comment-body\">Babylonians were the first people to measure the circumference of a circle.Old Babylonian mathematical tablet excavated near Susa in 1936 (dated to between the 19th and 17th centuries BCE)assigns a value of 3.125 to Pi.It is the only value which is rational and with it a circle may be squared. Hence <span class=\"comment-body-seemore\">See More&#8230;<\/span><\/div>\n<\/div>\n<\/div>\n<div class=\"action-buttons\">\n<div class=\"reaction-count\">\n<div class=\"not-reacted heart\">\u00a0<\/div>\n<p>Like<\/p><\/div>\n<p><a class=\"action-link reply-button\">Reply<\/a><\/p>\n<div class=\"share-component-wrapper\"><a class=\"share-component-wrapper__share-link\">Share<\/a><\/div>\n<\/div>\n<\/div>\n<div class=\"vertical-action-comment-menu\">\u00a0<\/div>\n<\/div>\n<\/div>\n<div class=\"child-comment\">\n<div class=\"comment-post-body\">\n<div class=\"author-image-container\"><img decoding=\"async\" class=\"author-image\" src=\"https:\/\/lh3.googleusercontent.com\/-Z1YDuGIxmjE\/AAAAAAAAAAI\/AAAAAAAAADg\/c4VoVfjRUXY\/photo.jpg\" \/><\/div>\n<div class=\"author-info-comment-body metype-comment-body\">\n<div class=\"author-name-date\">\n<div>\u00a0<\/div>\n<p><a class=\"author-name metype-clickable\">Raja Seth<\/a><\/p>\n<div class=\"timestamp\"><time class=\"timestamp\" datetime=\"2018-09-08T05:10:46.555Z\">8 Sep 2018 at 12:10 AM<\/time><\/div>\n<\/div>\n<div>\n<div>\n<div class=\"comment-body\">Between 19 and 17 BCE, Babylonia did not exist. They were just a bunch of brutes. In fact, other than the Harappa and Mohanjodaro civilizations, no other civilizations existed at that time. Where was the question of pondering over PI by Babylonians?<\/div>\n<\/div>\n<\/div>\n<div class=\"action-buttons\">\n<div class=\"reaction-count\">\n<div class=\"not-reacted heart\">\u00a0<\/div>\n<p>Like<\/p><\/div>\n<p><a class=\"action-link reply-button\">Reply<\/a><\/p>\n<div class=\"share-component-wrapper\"><a class=\"share-component-wrapper__share-link\">Share<\/a><\/div>\n<\/div>\n<\/div>\n<div class=\"vertical-action-comment-menu\">\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<div class=\"single-thread-container\">\n<div class=\"metype-comment-thread metype-comment\">\n<div class=\"metype-comment__initial comment-post-body\">\n<div class=\"author-image-container\"><img decoding=\"async\" class=\"author-image\" src=\"https:\/\/fea.assettype.com\/quintype-metype\/assets\/icons\/author-b1d7806ace0e485f0f7374762a004506a82bec54e49e5cf9a38fde56bc1f0ae6.png\" \/><\/div>\n<div class=\"metype-comment-body shown\">\n<div class=\"author-name-date metype-clickable\"><a class=\"author-name\">Shiva <\/a><time class=\"timestamp\" datetime=\"2017-03-29T08:30:05.000Z\">29 Mar 2017 at 3:30 AM<\/time><\/div>\n<div>\n<div>\n<div class=\"comment-body\">Its Not INDIAN mathematicians &#8211; change d heading to &#8216;VEDIC HINDU Mathematicians&#8217; &#8211; give credit where it is due <\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"action-buttons\">\n<div class=\"reaction-count\">\n<div class=\"not-reacted heart\">\u00a0<\/div>\n<p>2 Likes<\/p><\/div>\n<p><a class=\"action-link reply-button\">Reply<\/a><\/p>\n<div class=\"share-component-wrapper\"><a class=\"share-component-wrapper__share-link\"> Share<\/a><\/div>\n<\/div>\n<\/div>\n<div class=\"vertical-action-comment-menu\">\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"single-thread-container\">\n<div class=\"metype-comment-thread metype-comment\">\n<div class=\"metype-comment__initial comment-post-body\">\n<div class=\"metype-comment-body hidden shown\">\n<div class=\"deleted-comment\">\n<div class=\"deleted-comment__image-container\">\u00a0<\/div>\n<div class=\"deleted-comment__message-parent\">This comment has been deleted<\/div>\n<\/div>\n<div>\u00a0<\/div>\n<div class=\"action-buttons\">\n<div class=\"share-component-wrapper\">\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<section class=\"metype-comment__reply\">\n<div>\n<div class=\"child-comment\">\n<div class=\"comment-post-body\">\n<div class=\"author-image-container\"><img decoding=\"async\" class=\"author-image\" src=\"https:\/\/fea.assettype.com\/quintype-metype\/assets\/icons\/author-b1d7806ace0e485f0f7374762a004506a82bec54e49e5cf9a38fde56bc1f0ae6.png\" \/><\/div>\n<div class=\"author-info-comment-body metype-comment-body\">\n<div class=\"author-name-date\">\n<div>\u00a0<\/div>\n<p><a class=\"author-name metype-clickable\">Plato<\/a><\/p>\n<div class=\"timestamp\"><time class=\"timestamp\" datetime=\"2017-03-29T11:37:18.000Z\">29 Mar 2017 at 6:37 AM<\/time><\/div>\n<\/div>\n<div>\n<div>\n<div class=\"comment-body\">really?You tie up the community &amp; thrown them into an abyss, treat them worse than a beast, take away EVERY SHRED of dignity &amp; identity from them, occupy &amp; plunder their land for 800 years, deny their contributions to all fields, which are the BASES for the &#8220;western development&#8221;&amp; then you complain that their contributions are dismal?<\/div>\n<\/div>\n<div>\u00a0<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 by Swarajya Staff&#8211; Mar 27, 2017 08:14 AM \u00a0 \u00a0 The Mathematician Madhava arrived at the approximate value of Pi in the 14 century. Snapshot How were Indians so comfortable with the concept of pi &hellip; <a class=\"kt-excerpt-readmore\" href=\"https:\/\/www.isvara.org\/archive\/explained-how-indian-mathematicians-calculated-the-value-of-pi\/\" aria-label=\"Explained: How Indian Mathematicians Calculated The Value Of Pi \u00a0\">Read More<\/a><\/p>\n","protected":false},"author":81,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-28766","post","type-post","status-publish","format-standard","hentry","category-english"],"publishpress_future_action":{"enabled":false,"date":"2026-06-01 11:12:49","action":"change-status","newStatus":"draft","terms":[],"taxonomy":"category","extraData":[]},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/posts\/28766","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/users\/81"}],"replies":[{"embeddable":true,"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/comments?post=28766"}],"version-history":[{"count":0,"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/posts\/28766\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/media?parent=28766"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/categories?post=28766"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.isvara.org\/archive\/wp-json\/wp\/v2\/tags?post=28766"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}