{"id":52929,"date":"2022-01-16T09:19:07","date_gmt":"2022-01-16T07:19:07","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=52929"},"modified":"2022-01-13T09:39:05","modified_gmt":"2022-01-13T07:39:05","slug":"mu%e1%b8%a5ammad-ibn-musa-al-khwarizmi-%ce%bf-%cf%80%ce%ad%cf%81%cf%83%ce%b7%cf%82-%cf%80%ce%bf%ce%bb%cf%85%ce%bc%ce%b1%ce%b8%ce%ae%cf%82-%cf%80%ce%bf%cf%85-%cf%80%ce%b1%cf%81%ce%ae%ce%b3%ce%b1%ce%b3","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=52929","title":{"rendered":"Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b- \u039f \u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ac \u03ad\u03c1\u03b3\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1"},"content":{"rendered":"

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Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b<\/h3>\n

\u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ac \u03ad\u03c1\u03b3\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1<\/h3>\n<\/blockquote>\n

\u039f \u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 Muhammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b, \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc\u03c2 \u03c9\u03c2 \u03bf \u03c0\u03b1\u03c4\u03ad\u03c1\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2, \u03ae\u03c4\u03b1\u03bd \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c4\u03bf\u03c7\u03b1\u03c3\u03c4\u03ad\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b5\u03c0\u03b9\u03c1\u03c1\u03bf\u03ae \u03cc\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd \u03b5\u03c0\u03bf\u03c7\u03ce\u03bd.\u00a0\u03ad\u03c6\u03b5\u03c1\u03b5 \u03b5\u03c0\u03b1\u03bd\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b7 \u03ad\u03c1\u03b3\u03b1 \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af \u03bf \u03b8\u03b5\u03bc\u03ad\u03bb\u03b9\u03bf\u03c2 \u03bb\u03af\u03b8\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03b9\u03ce\u03bd\u03b5\u03c2 \u03c0\u03c1\u03bf\u03cc\u03b4\u03bf\u03c5 \u03c3\u03b5 \u03cc\u03bb\u03bf \u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf.<\/p>\n

\u039f Al-Khwarizmi \u03b3\u03b5\u03bd\u03bd\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c4\u03bf 780 \u03bc.\u03a7., \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03cc\u03bb\u03bf \u03c0\u03bf\u03c5 \u03b7 \u03b3\u03b5\u03bd\u03ad\u03c4\u03b5\u03b9\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03bc\u03b5 \u03b2\u03b5\u03b2\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03c4\u03bf al-Khwarizm\u012b \u03c3\u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03ac \u03c4\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u00ab\u03bf \u03bd\u03c4\u03cc\u03c0\u03b9\u03bf\u03c2 \u03c4\u03b7\u03c2 Khwarazm\u00bb, \u03c0\u03bf\u03c5 \u03b5\u03ba\u03b5\u03af\u03bd\u03b7 \u03c4\u03b7\u03bd \u03b5\u03c0\u03bf\u03c7\u03ae \u03ae\u03c4\u03b1\u03bd \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u039c\u03b5\u03b3\u03ac\u03bb\u03bf\u03c5 \u0399\u03c1\u03ac\u03bd, \u03b1\u03bb\u03bb\u03ac \u03c4\u03ce\u03c1\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03a4\u03bf\u03c5\u03c1\u03ba\u03bc\u03b5\u03bd\u03b9\u03c3\u03c4\u03ac\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u039f\u03c5\u03b6\u03bc\u03c0\u03b5\u03ba\u03b9\u03c3\u03c4\u03ac\u03bd, \u03c4\u03cc\u03c3\u03bf\u03b9 \u03c0\u03bf\u03bb\u03bb\u03bf\u03af \u03c0\u03b9\u03c3\u03c4\u03b5\u03cd\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03c3\u03b5 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae.<\/p>\n

\u039f Al-Khw\u0101rizm\u012b \u03b5\u03c1\u03b3\u03ac\u03c3\u03c4\u03b7\u03ba\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03b4\u03b9\u03b5\u03c5\u03b8\u03c5\u03bd\u03c4\u03ae\u03c2 \u03c4\u03bf\u03c5\u00a0House of Wisdom<\/a>\u00a0\u03c3\u03c4\u03b7 \u0392\u03b1\u03b3\u03b4\u03ac\u03c4\u03b7, \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03cc \u0399\u03c1\u03ac\u03ba, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03ae\u03c4\u03b1\u03bd \u03b7 \u03c0\u03c1\u03c9\u03c4\u03b5\u03cd\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 \u03b9\u03c3\u03bb\u03b1\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b1\u03c5\u03c4\u03bf\u03ba\u03c1\u03b1\u03c4\u03bf\u03c1\u03af\u03b1\u03c2 \u03b5\u03ba\u03b5\u03af\u03bd\u03b7 \u03c4\u03b7\u03bd \u03b5\u03c0\u03bf\u03c7\u03ae.\u00a0\u03a3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b4\u03b1\u03c3\u03ba\u03b1\u03bb\u03af\u03b1\u03c2, \u03b5\u03c0\u03ad\u03b2\u03bb\u03b5\u03c8\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03ac\u03c6\u03c1\u03b1\u03c3\u03b7 \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ce\u03bd \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b9\u03bd\u03b4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ce\u03bd \u03ad\u03c1\u03b3\u03c9\u03bd \u03c3\u03c4\u03b1 \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03ac.\u00a0\u03a0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c0\u03c1\u03c9\u03c4\u03cc\u03c4\u03c5\u03c0\u03bf \u03ad\u03c1\u03b3\u03bf \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03b4\u03b9\u03b1\u03c1\u03ba\u03ae \u03b5\u03c0\u03b9\u03c1\u03c1\u03bf\u03ae \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf \u03c4\u03c9\u03bd \u03bc\u03bf\u03c5\u03c3\u03bf\u03c5\u03bb\u03bc\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b5\u03c5\u03c1\u03c9\u03c0\u03b1\u03ca\u03ba\u03ce\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd.<\/p>\n

\u039f \u03b9\u03b4\u03c1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2<\/h2>\n

\u039f\u03b9 \u03cc\u03c1\u03bf\u03b9 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9\u00a0\u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2<\/a>\u00a0\u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 \u03c4\u03bf\u03c5 al-Khw\u0101rizm\u012b \u03ba\u03b1\u03b9 \u03c4\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5.\u00a0\u0397 \u03bb\u03b1\u03c4\u03b9\u03bd\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03bf\u03bd\u03cc\u03bc\u03b1\u03c4\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03c9\u03c2\u00a0Algoritmi<\/em>\u00a0\u03bf\u03b4\u03ae\u03b3\u03b7\u03c3\u03b5 \u03c3\u03c4\u03bf\u03bd \u03cc\u03c1\u03bf \u00ab\u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2\u00bb.\u00a0\u039a\u03b1\u03b9 \u03b7 \u03bb\u03ad\u03be\u03b7 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u00a0al-jabr<\/em>\u00a0\u03c3\u03c4\u03bf\u03bd \u03c4\u03af\u03c4\u03bb\u03bf \u03b5\u03bd\u03cc\u03c2 \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5-\u03bf\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf \u03c0\u03bf\u03c5 \u03ad\u03b3\u03c1\u03b1\u03c8\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c4\u03bf 820 \u03bc.\u03a7.,\u00a0al-Kit\u0101b al-Mukhta\u1e63ar f\u012b \u1e24is\u0101b al-Jabr wal-Muq\u0101balah, \u03ae The Compendious Book on Calculation by Completion and Balancing<\/em>\u00a0.\u00a0\u03a4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03b5\u03b9\u03c3\u03ae\u03b3\u03b1\u03b3\u03b5 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03b9\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9\u00a0\u03ba\u03b1\u03b8\u03b9\u03ad\u03c1\u03c9\u03c3\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b5\u03b9\u03b8\u03b1\u03c1\u03c7\u03af\u03b1 \u03c4\u03b7\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2<\/a>\u00a0.<\/p>\n

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\u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03c4\u03bf Al-Jabr<\/em>\u00a0\u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u00ab\u03b1\u03c0\u03bf\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u00bb \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03b8\u03ae\u03ba\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03cd\u03bf \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03b5\u03bd\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ae \u03b1\u03ba\u03cd\u03c1\u03c9\u03c3\u03b7 \u03cc\u03c1\u03c9\u03bd.\u00a0\u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03bf al-Khw\u0101rizm\u012b \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5 \u03bb\u03ad\u03be\u03b5\u03b9\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b1 \u03bb\u03cd\u03c3\u03b5\u03b9 \u03b1\u03bd\u03c4\u03af \u03b3\u03b9\u03b1 \u03c4\u03bf \u03b5\u03af\u03b4\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae\u03c2 \u03c3\u03b7\u03bc\u03b5\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ac \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1.<\/p>\n

\u03a4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03ad\u03b4\u03b5\u03b9\u03be\u03b5 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03bb\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c0\u03bf\u03bb\u03c5\u03c9\u03bd\u03c5\u03bc\u03b9\u03ba\u03ad\u03c2 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b3\u03c1\u03b1\u03c6\u03ae\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03b1\u03c0\u03bb\u03bf\u03cd\u03c3\u03c4\u03b5\u03c1\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae, \u03bc\u03b9\u03b1 \u03c4\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03c9\u03c2 \u03b1\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae.\u00a0\u039a\u03ac\u03bb\u03c5\u03c8\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03bc\u03b5\u03c4\u03b1\u03ba\u03af\u03bd\u03b7\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03bc\u03b9\u03b1 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03bc\u03b9\u03b1\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03c4\u03bf\u03c5 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03bf\u03c5 \u03c4\u03b7\u03c2, \u03c0\u03bf\u03c5 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7, \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03c6\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03af\u03b4\u03b9\u03b1\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b4\u03cd\u03bf \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2, \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03c9\u03c2 \u03b5\u03be\u03b9\u03c3\u03bf\u03c1\u03c1\u03cc\u03c0\u03b7\u03c3\u03b7.\u00a0\u03a3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1, \u03bf al-Khw\u0101rizm\u012b \u03b1\u03bd\u03ad\u03c0\u03c4\u03c5\u03be\u03b5 \u03bc\u03b9\u03b1 \u03c6\u03cc\u03c1\u03bc\u03bf\u03c5\u03bb\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03be\u03b9\u03c3\u03bf\u03c1\u03c1\u03cc\u03c0\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03ac\u03b3\u03b5\u03b9 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03c0\u03b9\u03bb\u03cd\u03c3\u03b9\u03bc\u03b7.<\/p>\n

Master \u03c4\u03c9\u03bd \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd<\/h2>\n

\u0395\u03c0\u03b7\u03c1\u03b5\u03b1\u03c3\u03bc\u03ad\u03bd\u03bf\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c6\u03c1\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03b3\u03b9\u03bd\u03b1\u03bd \u03c3\u03c4\u03bf\u03bd \u039f\u03af\u03ba\u03bf \u03c4\u03b7\u03c2 \u03a3\u03bf\u03c6\u03af\u03b1\u03c2, \u03bf al-Khw\u0101rizm\u012b \u03b5\u03af\u03b4\u03b5 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b9\u03bd\u03b4\u03bf\u03c5\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2.\u00a0\u0397 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf 1 \u03ad\u03c9\u03c2 \u03c4\u03bf 9 \u03ba\u03b1\u03b9\u00a0\u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 0<\/a>\u00a0\u03ae\u03c4\u03b1\u03bd \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c5\u03c0\u03b5\u03cd\u03b8\u03c5\u03bd\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03b1\u03c5\u03c4\u03bf\u03cd \u03c0\u03bf\u03c5 \u03c4\u03ce\u03c1\u03b1 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03bf\u03cd\u03bc\u03b5 \u03b9\u03bd\u03b4\u03bf\u03c5\u03bf-\u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ae \u03b1\u03c1\u03b1\u03b2\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03c0\u03c1\u03ce\u03c4\u03b1 \u03c3\u03c4\u03bf\u03bd \u03b9\u03c3\u03bb\u03b1\u03bc\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03c3\u03c4\u03bf\u03bd \u03b4\u03c5\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf.<\/p>\n

\n
<\/div>\n<\/div>\n

\u0397 \u03b5\u03c0\u03b1\u03bd\u03b1\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03ae \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03ba\u03b1\u03c4\u03ad\u03c3\u03c4\u03b7\u03c3\u03b5\u00a0\u03b4\u03c5\u03bd\u03b1\u03c4\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03bf\u03cd\u03c2 \u03b1\u03bb\u03b3\u03bf\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ac \u03b2\u03b1\u03c3\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ad\u03c2<\/a>\u00a0\u03bc\u03b1\u03c2 , \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03b5\u03c6\u03b7\u03cd\u03c1\u03b5 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c5\u03c2.\u00a0\u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd\u00a0\u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03c5\u03c2 \u0392\u03b1\u03b2\u03c5\u03bb\u03ce\u03bd\u03b9\u03bf\u03c5\u03c2 \u03b3\u03cd\u03c1\u03c9 \u03c3\u03c4\u03bf 2500<\/a>\u00a0\u03c0.\u03a7.<\/p>\n

\u039b\u03ad\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03cc\u03c4\u03b9 \u03bf Al-Khw\u0101rizm\u012b\u00a0\u03b1\u03bd\u03ad\u03c0\u03c4\u03c5\u03be\u03b5<\/a>\u00a0\u03c4\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03bc\u03b5 \u03c0\u03bb\u03ad\u03b3\u03bc\u03b1 \u03ae \u03ba\u03cc\u03c3\u03ba\u03b9\u03bd\u03bf \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd.\u00a0\u0397 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03bb\u03ad\u03b3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03b9\u03c3\u03ae\u03c7\u03b8\u03b7 \u03c3\u03c4\u03b7\u03bd \u0395\u03c5\u03c1\u03ce\u03c0\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u0399\u03c4\u03b1\u03bb\u03cc \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u00a0Fibonacci<\/a>\u00a0, \u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03b2\u03bf\u03ae\u03b8\u03b7\u03c3\u03b5 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03ac\u03b4\u03bf\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03ad\u03c1\u03b3\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7 \u0394\u03cd\u03c3\u03b7.<\/p>\n

\u0391\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ad\u03c2 \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9\u03c2<\/h2>\n

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\u039f \u0391\u03bb-\u03a7\u03bf\u03c5\u03b1\u03c1\u03b9\u03b6\u03bc\u03af \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03c4\u03c9\u03bd \u03b7\u03bb\u03b9\u03b1\u03ba\u03ce\u03bd \u03c1\u03bf\u03bb\u03bf\u03b3\u03b9\u03ce\u03bd \u03ba\u03b1\u03b9, \u03bb\u03cc\u03b3\u03c9 \u03c4\u03b7\u03c2 \u03b4\u03bf\u03c5\u03bb\u03b5\u03b9\u03ac\u03c2 \u03c4\u03bf\u03c5, \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bd\u03c4\u03b1\u03bd \u03c3\u03c5\u03c7\u03bd\u03ac \u03b7\u03bb\u03b9\u03b1\u03ba\u03ac \u03c1\u03bf\u03bb\u03cc\u03b3\u03b9\u03b1 \u03c3\u03c4\u03b1 \u03c4\u03b6\u03b1\u03bc\u03b9\u03ac \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03ce\u03c1\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03c5\u03c7\u03ae\u03c2.\u00a0\u0397 \u03b4\u03bf\u03c5\u03bb\u03b5\u03b9\u03ac \u03c4\u03bf\u03c5 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc\u03bd \u03c4\u03bf\u03bd \u03c4\u03bf\u03bc\u03ad\u03b1 \u03c4\u03bf\u03bd \u03bf\u03b4\u03ae\u03b3\u03b7\u03c3\u03b5 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ac \u03ac\u03bb\u03bb\u03b1 \u03ad\u03c1\u03b3\u03b1, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03b7\u03c2\u00a0\u03c4\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03b1\u03c6\u03ae\u03c2 \u03c4\u03c9\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c0\u03cc\u03c4\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1 \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c4\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b5\u03b2\u03c1\u03b1\u03ca\u03ba\u03cc \u03b7\u03bc\u03b5\u03c1\u03bf\u03bb\u03cc\u03b3\u03b9\u03bf<\/a>\u00a0.<\/p>\n

\u0397 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03ac\u03bb\u03bb\u03b7 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03bf al-Khw\u0101rizm\u012b \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03ad\u03c1\u03b3\u03b1 \u03ae\u03c4\u03b1\u03bd \u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1.\u00a0\u03a4\u03bf\u00a0Kit\u0101b \u1e63\u016brat al-ar\u1e0d<\/em>\u00a0(\u00a0\u0397 \u0395\u03b9\u03ba\u03cc\u03bd\u03b1 \u03c4\u03b7\u03c2 \u0393\u03b7\u03c2<\/em>\u00a0h\u00b7 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03bc\u03b5\u03c4\u03b1\u03c6\u03c1\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2\u00a0\u0393\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1<\/em>\u00a0), \u03ba\u03ac\u03bb\u03c5\u03c0\u03c4\u03b5 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf \u03cc\u03c0\u03c9\u03c2 \u03ae\u03c4\u03b1\u03bd \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc\u03c2 \u03c4\u03cc\u03c4\u03b5.\u00a0\u0395\u03c0\u03b9\u03b2\u03bb\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 70 \u03b3\u03b5\u03c9\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03c2, \u03b1\u03bd\u03b1\u03b8\u03b5\u03ce\u03c1\u03b7\u03c3\u03b5 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03ad\u03ba\u03c4\u03b5\u03b9\u03bd\u03b5\u00a0\u03c4\u03bf \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03ad\u03c1\u03b3\u03bf \u03c4\u03bf\u03c5 \u0391\u03b9\u03b3\u03c5\u03c0\u03c4\u03b9\u03b1\u03ba\u03bf\u03cd \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03b7\u03c4\u03ae \u03a0\u03c4\u03bf\u03bb\u03b5\u03bc\u03b1\u03af\u03bf\u03c5<\/a>\u00a0\u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 2400 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c3\u03b9\u03ce\u03bd \u03c3\u03b5 \u03cc\u03bb\u03bf \u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf, \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03b3\u03cd\u03c1\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u039c\u03b5\u03c3\u03cc\u03b3\u03b5\u03b9\u03bf \u0398\u03ac\u03bb\u03b1\u03c3\u03c3\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03cc\u03bb\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b7\u03bd \u0391\u03c6\u03c1\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u0391\u03c3\u03af\u03b1, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03c4\u03b1\u03bb\u03cc\u03b3\u03c9\u03bd \u03bc\u03b5 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c0\u03bb\u03ac\u03c4\u03b7 \u03ba\u03b1\u03b9 \u03bc\u03ae\u03ba\u03b7, \u03c0\u03cc\u03bb\u03b5\u03b9\u03c2, \u03b8\u03ac\u03bb\u03b1\u03c3\u03c3\u03b5\u03c2 , \u03b2\u03bf\u03c5\u03bd\u03ac, \u03bd\u03b7\u03c3\u03b9\u03ac \u03ba\u03b1\u03b9 \u03c0\u03bf\u03c4\u03ac\u03bc\u03b9\u03b1.<\/p>\n

\u0392\u03bf\u03ae\u03b8\u03b7\u03c3\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03b5\u03bd\u03cc\u03c2 \u03c0\u03b1\u03b3\u03ba\u03cc\u03c3\u03bc\u03b9\u03bf\u03c5 \u03c7\u03ac\u03c1\u03c4\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03c3\u03c4\u03ac\u03c4\u03b7 \u03c4\u03bf\u03c5, \u03c4\u03bf\u03bd\u00a0\u03c7\u03b1\u03bb\u03af\u03c6\u03b7 \u0391\u03bb-\u039c\u03b1\u03bc\u03bf\u03cd\u03bd<\/a>\u00a0, \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03b5\u03af\u03c7\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03ad\u03c1\u03b3\u03bf \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc \u03c4\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c6\u03ad\u03c1\u03b5\u03b9\u03b1\u03c2 \u03c4\u03b7\u03c2 \u0393\u03b7\u03c2 \u03c3\u03c4\u03bf \u03c0\u03b9\u03bf \u03b1\u03ba\u03c1\u03b9\u03b2\u03ad\u03c2 \u03bc\u03ad\u03c4\u03c1\u03bf \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1.<\/p>\n

\u039f Al-Khw\u0101rizm\u012b \u03c0\u03ad\u03b8\u03b1\u03bd\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03c4\u03bf 850 \u03bc.\u03a7., \u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03ad\u03c1\u03b3\u03b1 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03ba\u03b1\u03c4\u03ad\u03bb\u03b7\u03b3\u03b1\u03bd \u03bd\u03b1 \u03b4\u03b9\u03b1\u03bc\u03bf\u03c1\u03c6\u03ce\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf \u03bc\u03ad\u03bb\u03bb\u03bf\u03bd \u03c4\u03bf\u03c5 \u03ba\u03cc\u03c3\u03bc\u03bf\u03c5.\u00a0\u0395\u03c0\u03b7\u03c1\u03ad\u03b1\u03c3\u03b5\u00a0\u03c4\u03bf\u03c5\u03c2 \u03bc\u03b5\u03c3\u03b1\u03b9\u03c9\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03a6\u03b9\u03bc\u03c0\u03bf\u03bd\u03ac\u03c4\u03c3\u03b9, \u0386\u03bb\u03bc\u03c0\u03b5\u03c1\u03bd\u03c4 \u03ba\u03b1\u03b9 \u03a1\u03cc\u03c4\u03b6\u03b5\u03c1 \u039c\u03c0\u03ad\u03b9\u03ba\u03bf\u03bd<\/a>\u00a0, \u03b1\u03bb\u03bb\u03ac \u03bc\u03ad\u03c3\u03c9 \u03c4\u03b7\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7\u03bd \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1, \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b7\u03c1\u03b5\u03ac\u03c3\u03b5\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ad\u03ba\u03c4\u03bf\u03c4\u03b5.<\/p>\n

\n

\u0392\u03b1\u03c3\u03b9\u03ba\u03ac \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1<\/h2>\n

\u03a0\u03bb\u03ae\u03c1\u03b5\u03c2 \u03cc\u03bd\u03bf\u03bc\u03b1<\/b>\u00a0: Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b<\/p>\n

\u0393\u03b5\u03bd\u03bd\u03ae\u03b8\u03b7\u03ba\u03b5<\/b>\u00a0: \u03b3.\u00a0780 Khwarazm, \u03a0\u03b5\u03c1\u03c3\u03af\u03b1 (\u03c0\u03b9\u03b8\u03b1\u03bd\u03ce\u03c2)<\/p>\n

\u03a0\u03ad\u03b8\u03b1\u03bd\u03b5<\/b>\u00a0: \u03b3.\u00a0850 \u03b7\u03bb\u03b9\u03ba\u03af\u03b1\u03c2 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 70 \u03b5\u03c4\u03ce\u03bd \u03c3\u03c4\u03b7 \u0392\u03b1\u03b3\u03b4\u03ac\u03c4\u03b7 \u03c4\u03bf\u03c5 \u0399\u03c1\u03ac\u03ba<\/p>\n

\u039f \u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03ae\u03c2 Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03ac\u03c3\u03b7\u03bc\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ce\u03bd \u03ad\u03c1\u03b3\u03c9\u03bd \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1.<\/p>\n

\u03c0\u03b7\u03b3\u03ae: https:\/\/www.newscientist.com<\/a>\/<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":52930,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[33],"tags":[],"jetpack_publicize_connections":[],"yoast_head":"\nMu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b- \u039f \u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ac \u03ad\u03c1\u03b3\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1 – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/omathimatikos.gr\/?p=52929\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mu\u1e25ammad ibn M\u016bs\u0101 al-Khw\u0101rizm\u012b- \u039f \u03a0\u03ad\u03c1\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03bc\u03b1\u03b8\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ae\u03b3\u03b1\u03b3\u03b5 \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ac \u03ad\u03c1\u03b3\u03b1 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03c4\u03b7\u03bd \u03b1\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b3\u03b5\u03c9\u03b3\u03c1\u03b1\u03c6\u03af\u03b1 – \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"og:url\" content=\"https:\/\/omathimatikos.gr\/?p=52929\" \/>\n<meta property=\"og:site_name\" content=\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/omathimatikos\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-01-16T07:19:07+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-13T07:39:05+00:00\" \/>\n<meta property=\"og:image\" 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