{"id":104201,"date":"2025-11-03T03:00:20","date_gmt":"2025-11-02T21:00:20","guid":{"rendered":"https:\/\/sarakhon.com\/?p=104201"},"modified":"2025-11-02T18:40:51","modified_gmt":"2025-11-02T12:40:51","slug":"104201","status":"publish","type":"post","link":"https:\/\/sarakhon.com\/?p=104201","title":{"rendered":"\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e7\u09ee)"},"content":{"rendered":"<p><strong>When the interpolator is positive, diminish the (reduced) divisor by one (r\u016bponah\u0101ra), by that multiply the interpolator (r\u016bponaharagu\u0146it\u0101t gantavya), divide that by the (reduced) dividend (aptasya bhajyalabolhasya), and then divide the (resulting) quotient by the (reduced) divisor (harah\u1e5btasya); the remainder (obtained) is the mati. In case the remainder is zero, the divisor itself is the mati.<\/strong><\/p>\n<p>Multiply the (reduced) dividend by the mati; then subtract the gata (ie, negative interpolator) from or add the gantavya (ie, positive interpolator) to that (product); and then divide that (difference or sum) by the (reduced) divisor. Write down the mati under the chain (of quotients), and underneath that (mati) write down the quotient (obtained) also.<\/p>\n<p>By the penultimate number (of the chain of quotients) multiply the upper number and (to the product) add the last (ie, lowermost) number. (After doing this rub out the last number). Repeat this process again and again until there are left only two number in the chain.<\/p>\n<p>(Of these two numbers) divide the upper nnmber by the divisor and the lower number by the dividend (if it is possible). The remainders (obtained) denote (respectively) the days, etc. and the revolutions, etc, which are the requisite quantities.<\/p>\n<p>\u09ac\u09b2\u09be \u09ac\u09be\u09b9\u09c1\u09b2\u09cd\u09af \u0997\u09cb\u09ac\u09bf\u09a8\u09cd\u09a6\u09b8\u09cd\u09ac\u09be\u09ae\u09c0\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u0985\u0982\u09b6 \u0986\u09b2\u09cb\u099a\u09a8\u09be \u0995\u09b0\u09a4\u09c7 \u0997\u09c7\u09b2\u09c7 \u0986\u09ae\u09b0\u09be \u09a6\u09c7\u0996\u09a4\u09c7 \u09aa\u09be\u09ac\u09cb \u09af\u09c7, \u09af\u09a6\u09bf \u09eb \u098f\u09ac\u0982 b \u098f\u09b0 \u09b2, \u09b8\u09be, \u0997\u09c1 \u09a7\u09b0\u09be \u09b9\u09df \u09a4\u09be\u09b9\u09b2\u09c7 \u09eb=BA \u098f\u09ac\u0982 b=B. \u09af\u09a6\u09bf c=AC \u09a7\u09b0\u09be \u09af\u09be\u09df \u09a4\u09be\u09b9\u09b2\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u09ac,<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-104202 aligncenter\" src=\"https:\/\/sarakhon.com\/wp-content\/uploads\/2025\/11\/11-1.jpg\" alt=\"\" width=\"357\" height=\"56\" \/><\/p>\n<p>\u09af\u09a6\u09bf \u098f&#8217;\u09b0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be C \u09ac\u09bf\u09ad\u09be\u099c\u09cd\u09af \u09a8\u09be \u09b9\u09df \u09a4\u09be\u09b9\u09b2\u09c7<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-104204\" src=\"https:\/\/sarakhon.com\/wp-content\/uploads\/2025\/11\/12-1.jpg\" alt=\"\" width=\"119\" height=\"47\" \/>\u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u099f\u09bf \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964<\/p>\n<p>\u098f\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09aa\u09cd\u09b0\u09be\u09df \u09aa\u09c1\u09b0\u09be\u09a8\u09cb \u09a8\u09bf\u09df\u09ae\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u0997\u09cb\u09ac\u09bf\u09a8\u09cd\u09a6\u09b8\u09cd\u09ac\u09be\u09ae\u09c0 \u0995\u09b0\u09c7\u099b\u09c7\u09a8\u0964<\/p>\n<p><strong>(\u099a\u09b2\u09ac\u09c7)<\/strong><\/p>\n<h4 class=\"single-page-title\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e7\u09ed)<\/h4>\n<blockquote class=\"wp-embedded-content\" data-secret=\"H31dj03G3R\"><p><a href=\"https:\/\/sarakhon.com\/?p=103827\">\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e7\u09ed)<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;\u09aa\u09cd\u09b0\u09be\u099a\u09c0\u09a8 \u09ad\u09be\u09b0\u09a4\u09c7 \u0997\u09a3\u09bf\u09a4\u099a\u09b0\u09cd\u099a\u09be (\u09aa\u09b0\u09cd\u09ac-\u09e9\u09e7\u09ed)&#8221; &#8212; Sarakhon \u0964 \u09b8\u09be\u09b0\u09be\u0995\u09cd\u09b7\u09a3\" src=\"https:\/\/sarakhon.com\/?p=103827&#038;embed=true#?secret=9lSWq1lGTz#?secret=H31dj03G3R\" data-secret=\"H31dj03G3R\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When the interpolator is positive, diminish the (reduced) divisor by one (r\u016bponah\u0101ra), by that multiply the interpolator (r\u016bponaharagu\u0146it\u0101t gantavya), divide that by the (reduced) dividend (aptasya bhajyalabolhasya), and then divide the (resulting) quotient by the (reduced) divisor (harah\u1e5btasya); the remainder (obtained) is the mati. In case the remainder is zero, the divisor itself is the [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":104207,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[38,17],"tags":[],"location":[],"class_list":["post-104201","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-38","category-17"],"cmb2":{"heading_information":{"sub_title":""},"reporter_information":{"video":"","reporter_name":"\u09aa\u09cd\u09b0\u09a6\u09c0\u09aa \u0995\u09c1\u09ae\u09be\u09b0 \u09ae\u099c\u09c1\u09ae\u09a6\u09be\u09b0"},"audio_information":{"audio_link":"","audio_link_id":""},"seo_information":{"meta_keyword":""}},"_links":{"self":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/104201","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=104201"}],"version-history":[{"count":3,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/104201\/revisions"}],"predecessor-version":[{"id":104210,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/posts\/104201\/revisions\/104210"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=\/wp\/v2\/media\/104207"}],"wp:attachment":[{"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=104201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=104201"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=104201"},{"taxonomy":"location","embeddable":true,"href":"https:\/\/sarakhon.com\/index.php?rest_route=%2Fwp%2Fv2%2Flocation&post=104201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}