{"id":4576,"date":"2011-07-14T03:50:00","date_gmt":"2011-07-14T03:50:00","guid":{"rendered":"https:\/\/www.eastrovedica.com\/wordpress\/?p=4576"},"modified":"2011-07-14T03:50:00","modified_gmt":"2011-07-14T03:50:00","slug":"vyasardha-the-radius-of-the-circle-3","status":"publish","type":"post","link":"https:\/\/www.eastrovedica.com\/wordpress\/?p=4576","title":{"rendered":"Vyasardha, the Radius of the Circle"},"content":{"rendered":"<p><a href=\"http:\/\/3.bp.blogspot.com\/-gImimZFnMrw\/Th5mCUR95TI\/AAAAAAAABoE\/E_t9zI1NIV4\/s1600\/half-chord.jpg\"><img decoding=\"async\" style=\"display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 234px;\" src=\"http:\/\/3.bp.blogspot.com\/-gImimZFnMrw\/Th5mCUR95TI\/AAAAAAAABoE\/E_t9zI1NIV4\/s320\/half-chord.jpg\" border=\"0\" alt=\"\"id=\"BLOGGER_PHOTO_ID_5629048774249538866\" \/><\/a><\/p>\n<p><a href=\"http:\/\/4.bp.blogspot.com\/-saNz-Ed3JY8\/Th5l9bbyvBI\/AAAAAAAABn8\/NH4G1zxvdts\/s1600\/chord.jpg\"><img decoding=\"async\" style=\"display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 255px; height: 262px;\" src=\"http:\/\/4.bp.blogspot.com\/-saNz-Ed3JY8\/Th5l9bbyvBI\/AAAAAAAABn8\/NH4G1zxvdts\/s320\/chord.jpg\" border=\"0\" alt=\"\"id=\"BLOGGER_PHOTO_ID_5629048690270452754\" \/><\/a><\/p>\n<p>Aryabhata, one of the earliest mathematicians and astronomers, ( circa 476-550 CE )  postulated that <span style=\"font-style:italic;\">Vysasardha<\/span>, the Radius of the Circle is 3438 minutes and Arc is 5400 minutes.<\/p>\n<p>Circumference = 2 Pi R<br \/>R             = 360\/2 Pi<br \/>R = 57.3 degrees<br \/>R = 57.3 * 60 = 3438 arcminutes<br \/>R = 3438 * 60 = 206265 arcseconds<\/p>\n<p>Half Chord of 90 degrees = 90*60 = 5400 arcminutes.<\/p>\n<p>In his astronomical treatise, the <span style=\"font-style:italic;\">Aryabhatiya<\/span>, he postulated that the Circumference of the Circle is 360*60 = 21600 minutes. All these formulae are useful for the computation of half chords of certain sets of arcs in a circle and became the base of Hindu Trignometry.<\/p>\n<p>In his Sine Tablest, he called 3 degrees 45 minutes divisions by many Sanskrit names, given below.<\/p>\n<p>     \u092e\u0916\u093f \u092d\u0916\u093f \u092b\u0916\u093f \u0927\u0916\u093f \u0923\u0916\u093f \u091e\u0916\u093f \u0919\u0916\u093f \u0939\u0938\u094d\u091d \u0938\u094d\u0915\u0915\u093f \u0915\u093f\u0937\u094d\u0917 \u0936\u094d\u0918\u0915\u093f \u0915\u093f\u0918\u094d\u0935 |<br \/>     \u0918\u094d\u0932\u0915\u093f \u0915\u093f\u0917\u094d\u0930 \u0939\u0915\u094d\u092f \u0927\u0915\u093f \u0915\u093f\u091a \u0938\u094d\u0917 \u091d\u0936 \u0919\u094d\u0935 \u0915\u094d\u0932 \u092a\u094d\u0924 \u092b \u091b \u0915\u0932\u093e-\u0905\u0930\u094d\u0927-\u091c\u094d\u092f\u093e\u0938\u094d ||<\/p>\n<p>Aryabhata&#8217;s Sine Table is not a set of values of the trignometric sine functions, but rather is a table of the first differences of the values of trignometric sines expressed in arcminutes. Because of this, this Table is referred to as the Table of Sine Differences.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aryabhata, one of the earliest mathematicians and astronomers, ( circa 476-550 CE ) postulated that Vysasardha, the Radius of the Circle is 3438 minutes and Arc is 5400 minutes. Circumference = 2 Pi RR = 360\/2 PiR = 57.3 degreesR = 57.3 * 60 = 3438 arcminutesR = 3438 * 60 = 206265 arcseconds Half &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.eastrovedica.com\/wordpress\/?p=4576\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Vyasardha, the Radius of the Circle&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4576","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/4576","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4576"}],"version-history":[{"count":0,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/4576\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.eastrovedica.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}