{"id":22198,"date":"2017-05-28T00:02:47","date_gmt":"2017-05-27T21:02:47","guid":{"rendered":"http:\/\/www.lecturesbureau.gr\/1\/?p=22198"},"modified":"2017-05-28T00:01:04","modified_gmt":"2017-05-27T21:01:04","slug":"the-history-of-algebra-808","status":"publish","type":"post","link":"https:\/\/www.lecturesbureau.gr\/1\/the-history-of-algebra-808\/","title":{"rendered":"\u0397 \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u0386\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2."},"content":{"rendered":"<p><strong>Al-jabr, al-Khw\u00e2rizmi<\/strong><\/p>\n<p>\u0397 \u03bb\u03ad\u03be\u03b7 \u0391\u039b\u0393\u0395\u0392\u03a1\u0391 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bb\u03b1\u03c4\u03b9\u03bd\u03b9\u03ba\u03ae Algebra \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc 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\u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03c1\u03af\u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03b5\u03c4\u03ac\u03c1\u03c4\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd . \u039f Maestro Dardi da Pisa \u03b5\u03c1\u03b3\u03ac\u03c3\u03c4\u03b7\u03ba\u03b5 \u03c3\u03c4\u03b9\u03c2 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b5\u03c4\u03ac\u03c1\u03c4\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03c4\u03b9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03b1\u03bd\u03ae\u03b3\u03b1\u03b3\u03b5 \u03c3\u03b5 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b4\u03b5\u03c5\u03c4\u03ad\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd. O Piero della Francesca \u03b5\u03c0\u03b9\u03b4\u03cc\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03c0\u03ad\u03bc\u03c0\u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03ad\u03ba\u03c4\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd<\/p>\n<p><strong>16\u03bf\u03c2 \u03b1\u03b9\u03ce\u03bd\u03b1\u03c2: \u0386\u03b3\u03b3\u03bb\u03bf\u03b9, \u0393\u03ac\u03bb\u03bb\u03bf\u03b9 \u03ba\u03b1\u03b9 \u03ba\u03c5\u03c1\u03af\u03c9\u03c2 \u0393\u03b5\u03c1\u03bc\u03b1\u03bd\u03bf\u03af<\/strong><\/p>\n<p>\u039f Nicolas Chuquet \u03c3\u03c4\u03b7 \u0393\u03b1\u03bb\u03bb\u03af\u03b1 \u03ba\u03b1\u03b9 \u03bf Christoff Rudolff \u03c3\u03c4\u03b7 \u0393\u03b5\u03c1\u03bc\u03b1\u03bd\u03af\u03b1 \u03b1\u03bd\u03ad\u03c0\u03c4\u03c5\u03be\u03b1\u03bd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03ba\u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03b9\u03c3\u03bc\u03bf\u03cd. \u039f Rudolff \u03b5\u03c0\u03b9\u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03bf \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03ba\u03b8\u03b5\u03c4\u03ce\u03bd. \u039f Rudolff \u03ae\u03c4\u03b1\u03bd \u03ba\u03b1\u03b9 \u03bf \u03c0\u03c1\u03ce\u03c4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03b5\u03b9\u03c3\u03ac\u03b3\u03b5\u03b9 \u03c4\u03bf \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1. \u03a3\u03c4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03c4\u03bf\u03c5 Die Coss , \u03c4\u03bf 1526, \u03b1\u03c3\u03c7\u03bf\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd. \u0395\u03c1\u03b5\u03c5\u03bd\u03ac \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03c4\u03c1\u03af\u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b1\u03bb\u03bb\u03ac \u03c4\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03bd\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b3\u03b9\u03b1 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03ba\u03b1\u03b9 \u03b1\u03bd\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b5\u03c2. \u0393\u03b9\u03b1 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03bc\u03b9\u03b1 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c0\u03bf\u03c5 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03b7 \u03b1\u03bb\u03bb\u03ac \u03b1\u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03af \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03ae \u03bc\u03b7\u03b4\u03ad\u03bd. \u03a3\u03c4\u03b7\u03bd \u0391\u03b3\u03b3\u03bb\u03af\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c4\u03bf\u03c5 Robert Recorde \u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b7\u03c1\u03b5\u03b1\u03c3\u03c4\u03b5\u03af \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u0393\u03b5\u03c1\u03bc\u03b1\u03bd\u03bf\u03cd\u03c2. \u03a3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03c0\u03c1\u03ce\u03c4\u03b7 \u03c6\u03bf\u03c1\u03ac \u03c4\u03b7\u03bd \u03b5\u03bc\u03c6\u03ac\u03bd\u03b9\u03c3\u03ae \u03c4\u03bf\u03c5 \u03c4\u03bf \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf \u00ab\u03af\u03c3\u03bf\u03bd\u00bb \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b4\u03cd\u03bf \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ce\u03bd \u03c0\u03bf\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd.<\/p>\n<p><strong>\u0397 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c4\u03c1\u03b9\u03c4\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2: \u03c5\u03c0\u03cc\u03b8\u03b5\u03c3\u03b7 \u03c4\u03c9\u03bd \u0399\u03c4\u03b1\u03bb\u03ce\u03bd<\/strong><\/p>\n<p>\u0397 \u03b9\u03c4\u03b1\u03bb\u03b9\u03ba\u03ae \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03b4\u03bf\u03c3\u03b7 \u00ab\u03b1\u03bd\u03c4\u03ad\u03c7\u03b5\u03b9\u00bb \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b5\u03b9\u03c3\u03b4\u03cd\u03b5\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd 16\u03bf \u03b1\u03b9\u03ce\u03bd\u03b1. \u0397 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03c4\u03c1\u03af\u03c4\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b4\u03b5\u03bd \u03b5\u03af\u03c7\u03b5 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03b5\u03c0\u03b9\u03c4\u03b5\u03c5\u03c7\u03b8\u03b5\u03af \u03ba\u03b1\u03b9 \u03ae\u03c4\u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03bf\u03af \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03c0\u03bf\u03c5 \u03b5\u03c1\u03b3\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03bd \u03c0\u03c1\u03bf\u03c2 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03bd \u03c3\u03c4\u03cc\u03c7\u03bf. \u039f \u0399\u03c4\u03b1\u03bb\u03cc\u03c2 Scipione del Ferro \u03b5\u03af\u03c7\u03b5 \u03c3\u03c4\u03bf \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2<strong> x<span style=\"vertical-align: super;\">3<\/span> + cx = d<\/strong> \u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03b4\u03b5\u03bd \u03b1\u03bd\u03b1\u03ba\u03bf\u03af\u03bd\u03c9\u03c3\u03b5 \u03b1\u03bb\u03bb\u03ac \u03bb\u03af\u03b3\u03bf \u03c0\u03c1\u03b9\u03bd \u03c0\u03b5\u03b8\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03b5\u03cd\u03c4\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf\u03bd \u03bc\u03b1\u03b8\u03b7\u03c4\u03ae \u03c4\u03bf\u03c5 Antonio Maria Fiore \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03b4\u03b9\u03ac\u03b4\u03bf\u03c7\u03cc \u03c4\u03bf\u03c5 Annibale della Nave. \u039b\u03af\u03b3\u03bf \u03b1\u03c1\u03b3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03bf Niccolo Tartaglia \u03b1\u03c0\u03cc \u03c4\u03b7 Brescia \u03b2\u03c1\u03ae\u03ba\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 <strong>x<span style=\"vertical-align: super;\">3<\/span> + bx<span style=\"vertical-align: super;\">2<\/span> = d<\/strong> \u03b1\u03bb\u03bb\u03ac \u03c3\u03c4\u03b7 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u03b5\u03c0\u03bf\u03c7\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03ba\u03ac\u03bb\u03c5\u03c0\u03c4\u03b5. \u039f \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u03c3\u03c5\u03bd\u03bf\u03bc\u03af\u03bb\u03b7\u03ba\u03cc\u03c2 \u03c4\u03bf\u03c5 Gerolamo Cardano \u03c4\u03bf\u03bd \u03c0\u03af\u03b5\u03c3\u03b5 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03bf Tartaglia \u03c0\u03b5\u03af\u03c3\u03c4\u03b7\u03ba\u03b5 \u03c5\u03c0\u03cc \u03c4\u03bf\u03bd \u03cc\u03c1\u03bf \u03bd\u03b1 \u03bc\u03b7\u03bd \u03b4\u03b7\u03bc\u03bf\u03c3\u03b9\u03b5\u03c5\u03c4\u03b5\u03af \u03c0\u03bf\u03c4\u03ad \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1\u03bd. \u039b\u03af\u03b3\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03bc\u03b5\u03c4\u03ac \u03c4\u03bf \u03ad\u03c4\u03bf\u03c2 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae 1545 \u03bc\u03b5 \u03c4\u03bf \u03c0\u03c1\u03cc\u03c3\u03c7\u03b7\u03bc\u03b1 \u03cc\u03c4\u03b9 \u03bf Scipione del Ferro \u03ae\u03c4\u03b1\u03bd \u03bf \u03c0\u03c1\u03ce\u03c4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03bb\u03c5\u03c3\u03b5 \u03c4\u03b7\u03bd \u03c4\u03c1\u03b9\u03c4\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1 \u03bf Cardano \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b5 \u03c4\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 Ars Magna \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b4\u03b7\u03bc\u03bf\u03c3\u03af\u03b5\u03c5\u03c3\u03b5 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2. \u039f Tartaglia \u03b4\u03b9\u03b1\u03bc\u03b1\u03c1\u03c4\u03c5\u03c1\u03ae\u03b8\u03b7\u03ba\u03b5 \u03ad\u03bd\u03c4\u03bf\u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac \u03b7 \u03c6\u03cc\u03c1\u03bc\u03bf\u03c5\u03bb\u03b1 \u03c4\u03b7\u03c2 \u03c4\u03c1\u03b9\u03c4\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ac\u03b4\u03b9\u03ba\u03b1 \u00ab\u03c6\u03cc\u03c1\u03bc\u03bf\u03c5\u03bb\u03b1 \u03c4\u03bf\u03c5 Cardano\u00bb .<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p align=\"LEFT\"><span style=\"font-size: large;\"><em><strong><span style=\"color: #000000;\"><span style=\"font-family: Arial, sans-serif;\">\u0391\u03bd\u03b4\u03c1\u03ad\u03b1\u03c2 \u0399\u03c9\u03ac\u03bd\u03bd\u03bf\u03c5 \u039a\u03b1\u03c3\u03c3\u03ad\u03c4\u03b1\u03c2<\/span><\/span><\/strong><\/em><\/span><\/p>\n<p><em><span style=\"color: #000000;\"><span style=\"font-family: Arial, sans-serif;\"><span style=\"font-size: large;\">\u0395\u03b9\u03ba\u03cc\u03bd\u03b1: <\/span><\/span><\/span><a href=\"http:\/\/strictlypaper.com\/blog\/2012\/10\/heres-looking-at-euclid\/\"><span style=\"color: #000000;\"><span style=\"font-family: Arial, sans-serif;\"><span style=\"font-size: large;\">Here&#8217;s Looking At Euclid by Helen Friel<\/span><\/span><\/span><\/a><span style=\"color: #000000;\"><span style=\"font-family: Arial, sans-serif;\"><span style=\"font-size: large;\"> | <\/span><\/span><\/span><span style=\"color: #000000;\"><span style=\"font-family: Arial, sans-serif;\"><span style=\"font-size: large;\">http:\/\/strictlypaper.com\/blog\/wp-content\/uploads\/2012\/10\/strictlypaper-helen-friel-euclid5.jpg<\/span><\/span><\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Al-jabr, al-Khw\u00e2rizmi \u0397 \u03bb\u03ad\u03be\u03b7 \u0391\u039b\u0393\u0395\u0392\u03a1\u0391 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bb\u03b1\u03c4\u03b9\u03bd\u03b9\u03ba\u03ae Algebra \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03ae \u03bb\u03ad\u03be\u03b7 al-jabr. \u0397 \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03ae \u03bb\u03ad\u03be\u03b7 \u03c0\u03c1\u03c9\u03c4\u03bf\u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf &#8211; \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf \u03b3\u03cd\u03c1\u03c9 \u03c3\u03c4\u03b1 825- \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03c5 \u03ac\u03c1\u03b1\u03b2\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd al-Khw\u00e2rizmi \u03ba\u03b1\u03b9 \u03b7 \u03bb\u03ad\u03be\u03b7 al-jabr \u03ae\u03c4\u03b1\u03bd \u03b3\u03b9\u03b1 \u03c0\u03bf\u03bb\u03bb\u03ac&#8230;<\/p>\n","protected":false},"author":1,"featured_media":22185,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1,66],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=900%2C609&ssl=1","rttpg_featured_image_url":{"full":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=900%2C609&ssl=1",900,609,false],"landscape":["https:\/\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg",900,609,false],"portraits":["https:\/\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg",900,609,false],"thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=150%2C150&ssl=1",150,150,true],"medium":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=300%2C203&ssl=1",300,203,true],"large":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=900%2C609&ssl=1",900,609,true],"1536x1536":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=900%2C609&ssl=1",900,609,true],"2048x2048":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=900%2C609&ssl=1",900,609,true],"portfolio-square":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=570%2C570&ssl=1",570,570,true],"portfolio-portrait":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=600%2C609&ssl=1",600,609,true],"portfolio-landscape":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=800%2C600&ssl=1",800,600,true],"menu-featured-post":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=345%2C198&ssl=1",345,198,true],"qode-carousel_slider":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=400%2C260&ssl=1",400,260,true],"portfolio_slider":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=500%2C380&ssl=1",500,380,true],"portfolio_masonry_regular":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=500%2C500&ssl=1",500,500,true],"portfolio_masonry_wide":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=900%2C500&ssl=1",900,500,true],"portfolio_masonry_tall":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=500%2C609&ssl=1",500,609,true],"portfolio_masonry_large":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=900%2C609&ssl=1",900,609,true],"portfolio_masonry_with_space":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=700%2C474&ssl=1",700,474,true],"latest_post_boxes":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=539%2C303&ssl=1",539,303,true],"woocommerce_thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=300%2C300&ssl=1",300,300,true],"woocommerce_single":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?fit=600%2C406&ssl=1",600,406,true],"woocommerce_gallery_thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2017\/05\/post-808.jpg?resize=100%2C100&ssl=1",100,100,true]},"rttpg_author":{"display_name":"admin","author_link":"https:\/\/www.lecturesbureau.gr\/1\/author\/admin\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/www.lecturesbureau.gr\/1\/category\/uncategorized\/?lang=en\" rel=\"category tag\">Uncategorized<\/a> <a href=\"https:\/\/www.lecturesbureau.gr\/1\/category\/science\/\" rel=\"category tag\">\u0395\u03a0\u0399\u03a3\u03a4\u0397\u039c\u0397<\/a>","rttpg_excerpt":"Al-jabr, al-Khw\u00e2rizmi \u0397 \u03bb\u03ad\u03be\u03b7 \u0391\u039b\u0393\u0395\u0392\u03a1\u0391 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bb\u03b1\u03c4\u03b9\u03bd\u03b9\u03ba\u03ae Algebra \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03ae \u03bb\u03ad\u03be\u03b7 al-jabr. \u0397 \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03ae \u03bb\u03ad\u03be\u03b7 \u03c0\u03c1\u03c9\u03c4\u03bf\u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf &#8211; \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf \u03b3\u03cd\u03c1\u03c9 \u03c3\u03c4\u03b1 825- \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03c5 \u03ac\u03c1\u03b1\u03b2\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd al-Khw\u00e2rizmi \u03ba\u03b1\u03b9 \u03b7 \u03bb\u03ad\u03be\u03b7 al-jabr \u03ae\u03c4\u03b1\u03bd \u03b3\u03b9\u03b1 \u03c0\u03bf\u03bb\u03bb\u03ac...","_links":{"self":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/22198"}],"collection":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/comments?post=22198"}],"version-history":[{"count":10,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/22198\/revisions"}],"predecessor-version":[{"id":22214,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/22198\/revisions\/22214"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/media\/22185"}],"wp:attachment":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/media?parent=22198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/categories?post=22198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/tags?post=22198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}