{"id":55984,"date":"2023-11-08T21:16:59","date_gmt":"2023-11-08T19:16:59","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=55984"},"modified":"2023-11-04T10:37:19","modified_gmt":"2023-11-04T08:37:19","slug":"%ce%bf%ce%b9-%ce%b1%cf%80%ce%b1%cf%81%cf%87%ce%ad%cf%82-%cf%84%cf%89%ce%bd-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%cf%8e%ce%bd-%cf%84%ce%bf-%ce%ba%cf%8c%ce%ba%ce%b1%ce%bb%ce%bf-%cf%84","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=55984","title":{"rendered":"\u039f\u03b9 \u03b1\u03c0\u03b1\u03c1\u03c7\u03ad\u03c2 \u03c4\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd: \u03a4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5 Ishango"},"content":{"rendered":"<p><!--more--><\/p>\n<blockquote>\n<p style=\"font-weight: 400;\"><strong>\u039f\u03b9 \u03b1\u03c0\u03b1\u03c1\u03c7\u03ad\u03c2 \u03c4\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd: \u03a4\u03bf 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des\u00a0Sciences\u00a0Naturelles\u00a0de\u00a0Belgique).<img data-attachment-id=\"55986\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55986\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?fit=320%2C320&amp;ssl=1\" data-orig-size=\"320,320\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"IMG_20211201_130143\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?fit=320%2C320&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?fit=320%2C320&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-55986\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?resize=320%2C320&#038;ssl=1\" alt=\"\" width=\"320\" height=\"320\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?w=320&amp;ssl=1 320w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/IMG_20211201_130143.jpg?resize=65%2C65&amp;ssl=1 65w\" sizes=\"(max-width: 320px) 100vw, 320px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u03a4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf, \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03c9\u03c2 \u00ab\u03c4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5 Ishango\u00bb (\u00abIshango\u00a0bone\u00bb), \u03ad\u03c7\u03b5\u03b9 \u03c3\u03ba\u03bf\u03cd\u03c1\u03bf \u03ba\u03b1\u03c6\u03ad \u03c7\u03c1\u03ce\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03ac\u03bd\u03c9 \u03c4\u03bf\u03c5 \u03c6\u03ad\u03c1\u03b5\u03b9 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b1 \u03b5\u03c5\u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c4\u03b1 \u03c3\u03b7\u03bc\u03ac\u03b4\u03b9\u03b1, \u03c3\u03b1\u03bd \u03c7\u03b1\u03c1\u03b1\u03ba\u03b9\u03ad\u03c2. \u03a3\u03c4\u03bf \u03ad\u03bd\u03b1 \u03c4\u03bf\u03c5 \u03ac\u03ba\u03c1\u03bf \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c3\u03c4\u03b5\u03c1\u03b5\u03c9\u03bc\u03ad\u03bd\u03bf \u03ad\u03bd\u03b1 \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9 \u03c7\u03b1\u03bb\u03b1\u03b6\u03af\u03b1, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b5\u03bd\u03b4\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03af\u03bc\u03b5\u03c5\u03b5 \u03b3\u03b9\u03b1 \u03c7\u03ac\u03c1\u03b1\u03be\u03b7. \u03a4\u03b1 \u03c3\u03b7\u03bc\u03ac\u03b4\u03b9\u03b1 \u03c3\u03c4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5 Ishango \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c3\u03b5\u03b9\u03c1\u03ad\u03c2 \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b7\u03bc\u03ad\u00ad\u03bd\u03b5\u03c2 \u03c3\u03b5 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ad\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2. \u0397 \u03b1\u03c3\u03cd\u03bc\u03bc\u03b5\u03c4\u03c1\u03b7 \u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1, \u03ba\u03b1\u03b8\u03b9\u03c3\u03c4\u03ac \u03b1\u03c0\u03af\u03b8\u03b1\u03bd\u03bf \u03bd\u03b1 \u03ae\u03c4\u03b1\u03bd \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03b5\u03ba\u03b5\u03af \u03b1\u03c0\u03bb\u03ce\u03c2 \u03b3\u03b9\u03b1 \u03b4\u03b9\u03b1\u03ba\u03bf\u03c3\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2. \u0397 \u03c0\u03c1\u03ce\u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd \u03bc\u03b5 9, 19, 21 \u03ba\u03b1\u03b9 11 \u03c3\u03b7\u03bc\u03ac\u03b4\u03b9\u03b1. \u03a3\u03c4\u03b7 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b1\u03bb\u03bb\u03ac \u03bc\u03b5 19, 17, 13 \u03ba\u03b1\u03b9 11 \u03c3\u03b7\u03bc\u03ac\u03bd\u03c3\u03b5\u03b9\u03c2. \u0397 \u03c4\u03c1\u03af\u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03ad\u03c7\u03b5\u03b9 \u03bf\u03ba\u03c4\u03ce \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd: 7, 5, 5, 10, 8, 4, 6, 3. \u039f\u03b9 \u03b4\u03cd\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03b5\u03c2 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 (\u03b4\u03b7\u03bb. 6, 3) \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b9\u03bf \u03ba\u03bf\u03bd\u03c4\u03ac \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 8, 4 \u03ba\u03b1\u03b9 5, 5, 10, \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03bf\u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03ba\u03cc\u03c0\u03b9\u03bc\u03b7 \u03b4\u03b9\u03ac\u03c4\u03b1\u03be\u03b7 \u03c3\u03b5 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03ad\u03c2 \u03c5\u03c0\u03bf\u03bf\u00ad\u03bc\u03ac\u03b4\u03b5\u03c2.<\/p>\n<p>\u039a\u03b1\u03c4\u03ac \u03c3\u03c5\u03bd\u03ad\u03c0\u03b5\u03b9\u03b1, \u03b3\u03b5\u03bd\u03bd\u03ac\u03c4\u03b1\u03b9 \u03c4\u03bf \u03b5\u03be\u03ae\u03c2 \u03b5\u03c1\u03ce\u03c4\u03b7\u03bc\u03b1: \u0395\u03ac\u03bd \u03b1\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9\u00a0<em>\u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd<\/em>\u00a0\u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03ba\u03bf\u03c3\u03bc\u03b7\u03c4\u03b9\u00ad\u03ba\u03ad\u03c2, \u03c4\u03cc\u03c4\u03b5 \u03b3\u03b9\u03b1\u03c4\u03af \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03b5\u03ba\u03b5\u03af; \u039c\u03b9\u03b1 \u03c0\u03b9\u03b8\u03b1\u03bd\u03ae \u03b5\u03be\u03ae\u03b3\u03b7\u03c3\u03b7 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1\u00a0<em>\u03c3\u03b7\u03bc\u03ac\u03b4\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7\u03c2<\/em>, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b2\u03c1\u03b9\u03c3\u03ba\u03cc\u03bc\u03b1\u00ad\u03c3\u03c4\u03b5 \u03bc\u03c0\u03c1\u03bf\u03c3\u03c4\u03ac \u03c3\u03c4\u03b7\u03bd \u03b1\u03c6\u03b5\u03c4\u03b7\u03c1\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03c1\u03cc\u03bc\u03bf\u03c5 \u03c0\u03bf\u03c5 \u03bf\u03b4\u03b7\u03b3\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03b5\u03bd\u03cc\u03c2\u00a0<em>\u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b1\u03c1\u03af\u03b8\u03bc\u03b7\u03c3\u03b7\u03c2<\/em>.<img data-attachment-id=\"55987\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55987\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?fit=320%2C239&amp;ssl=1\" data-orig-size=\"320,239\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?fit=320%2C239&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?fit=320%2C239&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-55987\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?resize=320%2C239&#038;ssl=1\" alt=\"\" width=\"320\" height=\"239\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?w=320&amp;ssl=1 320w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/2-1.jpg?resize=150%2C112&amp;ssl=1 150w\" sizes=\"(max-width: 320px) 100vw, 320px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u039c\u03ae\u03c0\u03c9\u03c2 \u03cc\u03bc\u03c9\u03c2 \u03c4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5 Ishango \u03b1\u03c0\u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03b6\u03b5\u03b9 \u03ba\u03ac\u03c4\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b1\u03c0\u03bb\u03ae \u03ba\u03b1\u03c4\u03b1\u03bc\u03ad\u03c4\u03c1\u03b7\u03c3\u03b7; \u039f\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03b1\u03c0\u03b1\u03bd\u03c4\u03bf\u03cd\u03bd \u03b8\u03b5\u03c4\u03b9\u03ba\u03ac, \u03b8\u03b5\u03c9\u03c1\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c0\u03c9\u03c2 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03c5\u03c0\u03bf\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ac \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03c3\u03b5 \u03ba\u03b1\u03b8\u03b5\u03bc\u03b9\u03ac \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ad\u03c2 (a), (b) \u03ba\u03b1\u03b9 (c). \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/p>\n<ul>\n<li>\u039f\u03b9 \u03b5\u03bd\u03b4\u03b5\u03af\u03be\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b9\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ad\u03c2 (a) \u03ba\u03b1\u03b9 (b) \u03ad\u03c7\u03bf\u03c5\u03bd \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 60 (9+19+21+11 \u03ba\u03b1\u03b9 19+17+13+11 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1).<\/li>\n<li>\u0397 \u03c3\u03b5\u03b9\u03c1\u03ac (a) \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ac \u03c3\u03c5\u03bc\u03b2\u03b1\u03c4\u03ae \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03c1\u03af\u03b8\u03bc\u03b7\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03bf 10, \u03b1\u03c6\u03bf\u03cd \u03bf\u03b9 \u03b5\u03b3\u03ba\u03bf\u03c0\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c9\u03c2 20+1, 20\u20131, 10+1, 10\u20131.<\/li>\n<li>\u0397 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae (b) \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c0\u03bf\u03c5 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 10 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 20.<\/li>\n<li>\u0397 \u03c3\u03b5\u03b9\u03c1\u03ac (c), \u03cc\u03c0\u03bf\u03c5 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c5\u03c0\u03bf\u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 (5, 5, 10), (8, 4) \u03ba\u03b1\u03b9 (6, 3), \u03af\u03c3\u03c9\u03c2 \u03b4\u03b5\u03af\u03c7\u03bd\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03b5\u03ba\u03c4\u03af\u03bc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd.<\/li>\n<\/ul>\n<p>\u039f \u03af\u03b4\u03b9\u03bf\u03c2 \u03bf de Heinzelin \u03ad\u03b3\u03c1\u03b1\u03c8\u03b5 \u03c4\u03bf 1962 \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc\u00a0<em>Scientific\u00a0American<\/em>\u00a0(\u03c4\u03cc\u03bc. 206, \u03c4\u03b5\u03cd\u03c7. 6, \u03c3\u03c3. 105-118) \u03c0\u03c9\u03c2 \u03c4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5\u00a0Ishango\u00a0\u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b9\u03c3\u03c4\u03ac \u00ab\u03ad\u03bd\u03b1 \u03b5\u03af\u03b4\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c0\u03b1\u03b9\u03c7\u03bd\u03b9\u03b4\u03b9\u03bf\u03cd, \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03bd\u03bf\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1\u03bd \u03bb\u03b1\u03cc \u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03b5\u03af\u03c7\u03b5 \u03ad\u03bd\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b2\u03b1\u03c3\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03c4\u03bf 10, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03bd\u03ce\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd\u00bb. \u03a3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b5\u03be\u03ad\u03c4\u03b1\u03c3\u03b5 \u03c4\u03bf \u03b5\u03bd\u03b4\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u03c4\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b1\u03c1\u03af\u03b8\u03bc\u03b7\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd Ishango \u03bd\u03b1 \u03c4\u03b1\u03be\u03af\u03b4\u03b5\u03c8\u03b5 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03b7\u03bd \u0391\u03af\u03b3\u03c5\u03c0\u03c4\u03bf \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b7\u03c1\u03ad\u03b1\u03c3\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c4\u03b7\u03c2 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03c4\u03bf\u03c5 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03bf\u03cd \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c3\u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf.<img data-attachment-id=\"55988\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55988\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?fit=975%2C509&amp;ssl=1\" data-orig-size=\"975,509\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?fit=350%2C183&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?fit=523%2C273&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-large wp-image-55988\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=523%2C273&#038;ssl=1\" alt=\"\" width=\"523\" height=\"273\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=523%2C273&amp;ssl=1 523w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=350%2C183&amp;ssl=1 350w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=150%2C78&amp;ssl=1 150w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=768%2C401&amp;ssl=1 768w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?resize=325%2C170&amp;ssl=1 325w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_5.png?w=975&amp;ssl=1 975w\" sizes=\"(max-width: 523px) 100vw, 523px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u0391\u03bd \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c6\u03c1\u03b9\u03ba\u03b1\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03b9\u03b3\u03c5\u03c0\u03c4\u03b9\u03b1\u03ba\u03bf\u03cd \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd \u03bc\u03b1\u03c1\u03c4\u03c5\u03c1\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b1\u03c1\u03c7\u03b1\u03b9\u03bf\u00ad\u03bb\u03bf\u03b3\u03b9\u03ba\u03ad\u03c2 \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03ce\u03b9\u03bc\u03b5\u03c2 \u03b3\u03c1\u03b1\u03c0\u03c4\u03ad\u03c2 \u03bc\u03b1\u03c1\u03c4\u03c5\u03c1\u03af\u03b5\u03c2 (\u03bb.\u03c7. \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u0397\u03c1\u03cc\u03b4\u03bf\u03c4\u03bf), \u03b8\u03b5\u03c9\u00ad\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c0\u03c9\u03c2 \u03bf\u03b9 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 de Heinzelin \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03bd\u03ce\u03c3\u03b5\u03c9\u03bd \u03c4\u03c9\u03bd\u00a0Ishango, \u03b2\u03b1\u03c3\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03bc\u03cc\u03bd\u03bf \u03b5\u03bd\u03cc\u03c2 \u03bf\u03c3\u03c4\u03bf\u03cd, \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03ac\u03bb\u03bb\u03bf\u03bd \u03c5\u03c0\u03b5\u03c1\u03b2\u03bf\u03bb\u03b9\u03ba\u03ad\u03c2 (\u03b5\u03b9\u03b4\u03b9\u03ba\u03ac \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03ce\u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2). \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03bb\u03b5\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b5\u03bd\u03b4\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u03bf\u03b9 \u03bf\u03c3\u03c4\u03ad\u03b9\u03bd\u03b5\u03c2 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\u03b4\u03b9\u03b1\u03c0\u03af\u03c3\u03c4\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1\u03c2 \u03c4\u03c9\u03bd \u03c3\u03b5\u03bb\u03b7\u03bd\u03b9\u03b1\u03ba\u03ce\u03bd \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c9\u03bd \u03c3\u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03c3\u03bc\u03cc \u03c4\u03c9\u03bd Ishango, \u03ba\u03b1\u03b9 \u03b5\u03bd \u03bc\u03ad\u03c1\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03cc\u03c3\u03bf \u03ba\u03bf\u03bd\u03c4\u03ac \u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03c9\u03bd \u03b5\u03b3\u03ba\u03bf\u03c0\u03ce\u03bd \u03c3\u03c4\u03bf \u03bf\u03c3\u03c4\u03cc \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03b7\u03bc\u03b5\u03c1\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 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\u03c3\u03c5\u03c3\u03c7\u03b5\u03c4\u03b9\u03c3\u03c4\u03b5\u03af\u00a0<em>\u03b1\u03b4\u03b9\u03b1\u03bc\u03c6\u03b9\u03c3\u03b2\u03ae\u03c4\u03b7\u03c4\u03b1<\/em>\u00a0\u03bc\u03b5 \u03c3\u03b5\u03bb\u03b7\u03bd\u03b9\u03b1\u03ba\u03ac \u03c6\u03b1\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b1. \u0388\u03c4\u03c3\u03b9, \u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc\u03c2 \u03c3\u03ba\u03bf\u03c0\u03cc\u03c2 \u2013\u03b1\u03bd \u03cc\u03bd\u03c4\u03c9\u03c2 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2\u2013 \u03c4\u03bf\u03c5 \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf\u03c5 \u03c4\u03bf\u03c5\u00a0Ishango\u00a0\u03c0\u03b1\u00ad\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03bf \u03c3\u03c5\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2.<img data-attachment-id=\"55989\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55989\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?fit=231%2C320&amp;ssl=1\" data-orig-size=\"231,320\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?fit=231%2C320&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?fit=231%2C320&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-55989\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?resize=231%2C320&#038;ssl=1\" alt=\"\" width=\"231\" height=\"320\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?w=231&amp;ssl=1 231w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2023\/01\/\u0395\u03b9\u03ba\u03cc\u03bd\u03b1_4.png?resize=108%2C150&amp;ssl=1 108w\" sizes=\"(max-width: 231px) 100vw, 231px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Jean de Heinzelin\u00a0de\u00a0Braucourt\u00a0(1920-1998)<\/p>\n<p>\u0391\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03b5\u03b9\u03ba\u03b1\u03c3\u03af\u03b5\u03c2 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf \u03ba\u03cc\u03ba\u03b1\u03bb\u03bf \u03c4\u03bf\u03c5 Ishango \u03b1\u03bd\u03b1\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03bf\u03c5\u03bd \u03c4\u03c1\u03b5\u03b9\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c4\u03c5\u03c7\u03ad\u03c2 \u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03b9\u03bc\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd. \u03a0\u03c1\u03ce\u03c4\u03bf\u03bd, \u03b7 \u03c3\u03c4\u03b5\u03bd\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u0391\u03c3\u03c4\u03c1\u03bf\u03bd\u03bf\u03bc\u03af\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03b1\u03ba\u03c1\u03ac \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b4\u03ad\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03b3\u03ba\u03b7 \u03c0\u03bf\u03c5 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