{"id":3642,"date":"2026-03-21T02:11:29","date_gmt":"2026-03-21T02:11:29","guid":{"rendered":"https:\/\/npk1169-001-site1.mtempurl.com\/?p=3642"},"modified":"2026-04-19T11:20:35","modified_gmt":"2026-04-19T11:20:35","slug":"symbolic-algebra-bijaganita","status":"publish","type":"post","link":"https:\/\/www.bharatwisdom.com\/hi\/mathematics\/symbolic-algebra-bijaganita\/","title":{"rendered":"\u092a\u094d\u0930\u0924\u0940\u0915\u093e\u0924\u094d\u092e\u0915 \u092c\u0940\u091c\u0917\u0923\u093f\u0924 (\u092c\u0940\u091c\u0917\u0923\u093f\u0924) \u2013 \u0905\u091c\u094d\u091e\u093e\u0924\u094b\u0902 \u0915\u093e \u0930\u0902\u0917\u0940\u0928 \u0915\u094b\u0921"},"content":{"rendered":"<div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:1279.2px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:0px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-text fusion-text-1\"><p id=\"p-rc_2c7e7ac57808f84c-383\" data-path-to-node=\"25\"><span data-path-to-node=\"25,0\"><b data-path-to-node=\"25,0\" data-index-in-node=\"0\">\u0905\u0935\u0927\u093e\u0930\u0923\u093e<\/b> <\/span><span data-path-to-node=\"25,2\"><span class=\"citation-1674\">\u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u092e\u0947\u0902, \u0906\u092a \u0905\u091c\u094d\u091e\u093e\u0924 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0915\u094d\u0937\u0930\u094b\u0902 (x, y, z) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/span><\/span><span data-path-to-node=\"25,4\">. <\/span><span data-path-to-node=\"25,6\"><span class=\"citation-1673\">\u0917\u0923\u093f\u0924 \u0915\u094b \u092a\u0939\u0932\u0947 \u0932\u0902\u092c\u0947-\u0932\u0902\u092c\u0947 \u0914\u0930 \u091c\u091f\u093f\u0932 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u091c\u093e\u0924\u093e \u0925\u093e\u0964<\/span><\/span><span data-path-to-node=\"25,8\">. <\/span><span data-path-to-node=\"25,10\"><span class=\"citation-1672\">\u092a\u094d\u0930\u0924\u0940\u0915\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u091c\u091f\u093f\u0932 \u0924\u0930\u094d\u0915 \u0915\u094b \u0938\u0930\u0932\u0924\u093e \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0938\u0939\u093e\u092f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"25,12\">.<\/span><\/p>\n<p id=\"p-rc_2c7e7ac57808f84c-384\" data-path-to-node=\"26\"><span data-path-to-node=\"26,0\"><b data-path-to-node=\"26,0\" data-index-in-node=\"0\">\u0915\u0939\u093e\u0928\u0940<\/b> <\/span><span data-path-to-node=\"26,2\"><span class=\"citation-1671\">\u0917\u0923\u093f\u0924 \u0915\u0947 \u0915\u093e\u0932\u0947 \u0930\u0902\u0917 \u0915\u0940 \u0938\u094d\u092f\u093e\u0939\u0940 \u0914\u0930 \u0909\u092c\u093e\u090a \u091a\u0930\u094b\u0902 \u0915\u093e \u0938\u093e\u0917\u0930 \u092c\u0928\u0928\u0947 \u0938\u0947 \u092a\u0939\u0932\u0947, \u092d\u093e\u0930\u0924 \u092e\u0947\u0902 \u092f\u0939 \u090f\u0915 \u091c\u0940\u0935\u0902\u0924, \u0930\u0902\u0917-\u0915\u094b\u0921\u093f\u0924 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0925\u0940\u0964<\/span><\/span><span data-path-to-node=\"26,4\">. <\/span><span data-path-to-node=\"26,6\"><span class=\"citation-1670\">\u0938\u0926\u093f\u092f\u094b\u0902 \u0938\u0947, \u0926\u0941\u0928\u093f\u092f\u093e \u0917\u0923\u093f\u0924 \u0915\u0940 \u0938\u092e\u0938\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0932\u0902\u092c\u0947, \u0925\u0915\u093e\u090a \u0935\u093e\u0915\u094d\u092f\u094b\u0902 \u092e\u0947\u0902 \u0932\u093f\u0916\u0915\u0930 \u0939\u0932 \u0915\u0930\u0924\u0940 \u0930\u0939\u0940 \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"26,8\">. <\/span><span data-path-to-node=\"26,10\"><span class=\"citation-1669\">\u092b\u093f\u0930 \u092d\u093e\u0938\u094d\u0915\u0930 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u0906\u090f, \u091c\u093f\u0928\u094d\u0939\u094b\u0902\u0928\u0947 \u092f\u0939 \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u093f\u092f\u093e \u0915\u093f &quot;\u0905\u091c\u094d\u091e\u093e\u0924&quot; \u0930\u0939\u0938\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u094b\u0928\u0947 \u091a\u093e\u0939\u093f\u090f\u2014\u092c\u0932\u094d\u0915\u093f \u0930\u0902\u0917\u0940\u0928 \u0939\u094b\u0928\u0947 \u091a\u093e\u0939\u093f\u090f\u0964<\/span><\/span><span data-path-to-node=\"26,12\">. <\/span><span data-path-to-node=\"26,14\"><span class=\"citation-1668\">\u0935\u0939 \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e <\/span><i data-path-to-node=\"26,14\" data-index-in-node=\"8\"><span class=\"citation-1668\">\u0915\u0932\u093e\u0915\u093e<\/span><\/i><span class=\"citation-1668\"> (\u0915\u093e\u0932\u093e) &#039;x&#039; \u0915\u0947 \u0932\u093f\u090f, <\/span><i data-path-to-node=\"26,14\" data-index-in-node=\"32\"><span class=\"citation-1668\">\u0928\u0940\u0932\u093e\u0915\u093e<\/span><\/i><span class=\"citation-1668\"> (\u0928\u0940\u0932\u093e) &#039;y&#039; \u0915\u0947 \u0932\u093f\u090f, \u0914\u0930 <\/span><i data-path-to-node=\"26,14\" data-index-in-node=\"59\"><span class=\"citation-1668\">\u092a\u093f\u091f\u0915<\/span><\/i><span class=\"citation-1668\"> (\u092a\u0940\u0932\u093e) &#039;z&#039; \u0915\u0947 \u0932\u093f\u090f\u2018<\/span><\/span><span data-path-to-node=\"26,16\">. <\/span><span data-path-to-node=\"26,18\"><span class=\"citation-1667\">\u0907\u0928 \u0938\u0902\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u091a\u093f\u0939\u094d\u0928\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u0935\u0939 \u0915\u0947\u0935\u0932 \u092c\u0930\u093e\u092c\u0930 \u0915\u0947 \u091a\u093f\u0939\u094d\u0928 \u0915\u0947 \u0906\u0930-\u092a\u093e\u0930 &quot;\u0930\u0902\u0917\u094b\u0902&quot; \u0915\u094b \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0915\u0947 \u091c\u091f\u093f\u0932 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u094b \u0938\u0902\u0924\u0941\u0932\u093f\u0924 \u0915\u0930 \u0938\u0915\u0924\u093e \u0925\u093e\u0964<\/span><\/span><span data-path-to-node=\"26,20\">. <\/span><span data-path-to-node=\"26,22\"><span class=\"citation-1666\">\u092b\u094d\u0930\u093e\u0902\u0938\u094d\u0935\u093e \u0935\u093f\u090f\u0924\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092f\u0942\u0930\u094b\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u0940\u0915\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0915\u0947\u0924\u0928 \u0915\u0940 \u0936\u0941\u0930\u0941\u0906\u0924 \u0915\u0930\u0928\u0947 \u0938\u0947 \u0938\u0926\u093f\u092f\u094b\u0902 \u092a\u0939\u0932\u0947, \u092d\u093e\u0930\u0924\u0940\u092f \u0935\u093f\u0926\u094d\u0935\u093e\u0928 \u092a\u0939\u0932\u0947 \u0938\u0947 \u0939\u0940 &quot;\u091a\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0939\u093f\u0924\u093e&quot; \u0915\u094b \u090f\u0915 \u0910\u0938\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902 \u0932\u093f\u0916 \u0930\u0939\u0947 \u0925\u0947 \u091c\u094b \u0905\u0902\u0915\u0917\u0923\u093f\u0924 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u0932\u093e \u0915\u0940 \u0924\u0930\u0939 \u0905\u0927\u093f\u0915 \u0926\u093f\u0916\u0924\u0940 \u0925\u0940\u0964<\/span><\/span><span data-path-to-node=\"26,24\">.<\/span><\/p>\n<p data-path-to-node=\"27\"><b data-path-to-node=\"27\" data-index-in-node=\"0\">\u0938\u092e\u092f\u0930\u0947\u0916\u093e<\/b><\/p>\n<table data-path-to-node=\"28\">\n<thead>\n<tr>\n<td><strong>\u092e\u0940\u0932 \u0915\u093e \u092a\u0924\u094d\u0925\u0930<\/strong><\/td>\n<td><strong>\u0935\u093f\u0935\u0930\u0923<\/strong><\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><span data-path-to-node=\"28,1,0,0\"><b data-path-to-node=\"28,1,0,0\" data-index-in-node=\"0\">\u092a\u0936\u094d\u091a\u093f\u092e\u0940 \u0938\u0902\u0926\u0930\u094d\u092d.<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_2c7e7ac57808f84c-385\" data-path-to-node=\"28,1,1,0\"><span data-path-to-node=\"28,1,1,0,1\"><span class=\"citation-1665\">1591 \u0908\u0938\u094d\u0935\u0940 (\u092b\u094d\u0930\u093e\u0902\u0915\u094b\u0907\u0938 \u0935\u093f\u090f\u091f\u0947) <\/span><\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"28,2,0,0\"><b data-path-to-node=\"28,2,0,0\" data-index-in-node=\"0\">\u092d\u093e\u0930\u0924\u0940\u092f \u0938\u094d\u0930\u094b\u0924<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_2c7e7ac57808f84c-386\" data-path-to-node=\"28,2,1,0\"><span data-path-to-node=\"28,2,1,0,1\"><span class=\"citation-1664\">1150 \u0908. (\u092d\u093e\u0938\u094d\u0915\u0930 \u0926\u094d\u0935\u093f\u0924\u0940\u092f - \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u093e) <\/span><\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"28,3,0,0\"><b data-path-to-node=\"28,3,0,0\" data-index-in-node=\"0\">\u0915\u093e\u0932 \u0905\u0902\u0924\u0930\u093e\u0932<\/b><\/span><\/td>\n<td>\n<p id=\"p-rc_2c7e7ac57808f84c-387\" data-path-to-node=\"28,3,1,0\"><span data-path-to-node=\"28,3,1,0,1\"><span class=\"citation-1663\">400 \u0935\u0930\u094d\u0937\u094b\u0902 \u0938\u0947 \u0905\u0927\u093f\u0915 <\/span><\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p data-path-to-node=\"29\"><b data-path-to-node=\"29\" data-index-in-node=\"0\">\u092e\u0942\u0932 \u092a\u093e\u0920<\/b><\/p>\n<blockquote data-path-to-node=\"30\">\n<p id=\"p-rc_2c7e7ac57808f84c-388\" data-path-to-node=\"30,0\"><span data-path-to-node=\"30,0,1\"><span class=\"citation-1662\">The <\/span><i data-path-to-node=\"30,0,1\" data-index-in-node=\"4\"><span class=\"citation-1662\">\u092c\u093f\u091c\u093e\u0917\u0923\u093f\u0924\u093e<\/span><\/i><span class=\"citation-1662\"> (\u0930\u0902\u0917\u094b\u0902 \u092a\u0930 \u0905\u0927\u094d\u092f\u093e\u092f) \u092e\u0947\u0902 &#039; \u0915\u0947 \u0909\u092a\u092f\u094b\u0917 \u0915\u093e \u092a\u094d\u0930\u0938\u093f\u0926\u094d\u0927 \u0930\u0942\u092a \u0938\u0947 \u0935\u0930\u094d\u0923\u0928 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964\u2018<\/span><i data-path-to-node=\"30,0,1\" data-index-in-node=\"65\"><span class=\"citation-1662\">\u0915\u0932\u093e\u0915\u093e \u0928\u093f\u0932\u0915\u093e\u2026<\/span><\/i><span class=\"citation-1662\">\u2018\u0907\u0928 \u0930\u0902\u0917\u0940\u0928 \u091a\u0930\u094b\u0902 \u0915\u094b \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f<\/span><\/span><span data-path-to-node=\"30,0,3\">.<\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/blockquote>\n<p id=\"p-rc_2c7e7ac57808f84c-389\" data-path-to-node=\"31\"><span data-path-to-node=\"31,0\"><b data-path-to-node=\"31,0\" data-index-in-node=\"0\">\u092e\u091c\u0947\u0926\u093e\u0930 \u0924\u0925\u094d\u092f<\/b> \u0915\u094d\u092f\u093e \u0906\u092a \u091c\u093e\u0928\u0924\u0947 \u0939\u0948\u0902? <\/span><span data-path-to-node=\"31,2\"><span class=\"citation-1661\">\u092d\u093e\u0930\u0924\u0940\u092f \u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0915\u094b &#039;\u0930\u0902\u0917-\u0915\u094b\u0921\u093f\u0924&#039; \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0925\u093e\u0964\u2018<\/span><\/span><span data-path-to-node=\"31,4\">. <\/span><span data-path-to-node=\"31,6\"><span class=\"citation-1660\">\u0907\u0938\u0938\u0947 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0905\u091c\u094d\u091e\u093e\u0924\u094b\u0902 \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u092e\u093f\u0932\u0940, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u091a\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0930\u0902\u0917\u094b\u0902 (\u091c\u0948\u0938\u0947 \u0915\u093e\u0932\u093e \u0914\u0930 \u0928\u0940\u0932\u093e) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0925\u093e, \u091c\u094b \u092a\u0936\u094d\u091a\u093f\u092e \u092e\u0947\u0902 x \u0914\u0930 y \u0915\u0947 \u0909\u092a\u092f\u094b\u0917 \u0938\u0947 \u092a\u0939\u0932\u0947 \u0915\u093e \u0925\u093e\u0964<\/span><\/span><span data-path-to-node=\"31,8\">.<\/span><\/p>\n<p id=\"p-rc_2c7e7ac57808f84c-390\" data-path-to-node=\"32\"><span data-path-to-node=\"32,0\"><b data-path-to-node=\"32,0\" data-index-in-node=\"0\">\u0906\u0927\u0941\u0928\u093f\u0915 \u0935\u093f\u0930\u093e\u0938\u0924<\/b> <\/span><span data-path-to-node=\"32,2\"><span class=\"citation-1659\">\u0906\u0927\u0941\u0928\u093f\u0915 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0907\u0938 \u0935\u093f\u091a\u093e\u0930 \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u0924\u0940\u0915\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0915\u0947\u0924\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928 \u0915\u0940 \u092d\u093e\u0937\u093e \u0939\u0948\u0964<\/span><\/span><span data-path-to-node=\"32,4\">. <\/span><span data-path-to-node=\"32,6\"><span class=\"citation-1658\">\u0907\u0938\u0915\u0947 \u092c\u093f\u0928\u093e, \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u094b \u0907\u0938 \u0924\u0930\u0939 \u0932\u093f\u0916\u0928\u093e <\/span><span class=\"math-inline\" data-math=\"E=mc^2\" data-index-in-node=\"35\">$E=mc^2$<\/span><span class=\"citation-1658\"> \u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u092a\u0942\u0930\u0947 \u092a\u0948\u0930\u093e\u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0917\u0940\u0964<\/span><\/span><span data-path-to-node=\"32,8\">.<\/span><\/p>\n<div class=\"source-inline-chip-container ng-star-inserted\"><\/div>\n<\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3509,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[74],"tags":[544,584,602,604,601,603],"class_list":["post-3642","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics","tag-ancient-indian-mathematics","tag-bhaskara-ii","tag-bijaganita","tag-mathematical-notation","tag-symbolic-algebra","tag-variables"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\r\n<title>Symbolic Algebra (Bijaganita) \u2013 The Colorful Code of Unknowns - BharatWisdom<\/title>\r\n<meta name=\"description\" content=\"Excerpt\" \/>\r\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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