{"id":137,"date":"2020-09-27T20:47:54","date_gmt":"2020-09-27T17:47:54","guid":{"rendered":"https:\/\/philokatholos.getway.org\/?p=137"},"modified":"2020-09-28T16:48:00","modified_gmt":"2020-09-28T13:48:00","slug":"%ce%b1%ce%bd%ce%b1%cf%86%ce%bf%cf%81%ce%b9%ce%ba%ce%ac-%ce%bc%ce%b5-%cf%84%ce%b7-%ce%bb%cf%8d%cf%83%ce%b7-%cf%84%ce%bf%cf%85-%cf%81%ce%b1%ce%bc%ce%b1%ce%bd%ce%bf%cf%85%cf%84%ce%b6%ce%ac%ce%bd","status":"publish","type":"post","link":"https:\/\/philokatholos.getway.org\/?p=137","title":{"rendered":"\u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/cdn.britannica.com\/99\/171099-050-DA58FE5E\/Srinivasa-Ramanujan.jpg\" alt=\"Srinivasa Ramanujan | Biography, Achievements, &amp; Facts | Britannica\" width=\"180\" height=\"248\"\/><\/figure><\/div>\n\n\n\n<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03c0\u03c9\u03c2 \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03b9\u03ce\u03b4\u03b7 \u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03bf \u03b1\u03c5\u03c4\u03bf\u03b4\u03af\u03b4\u03b1\u03ba\u03c4\u03bf\u03c2 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03b5\u03af\u03c7\u03b5 \u03ba\u03b1\u03b9 \u03bc\u03af\u03b1 \u03b1\u03c3\u03c5\u03bd\u03b1\u03b3\u03ce\u03bd\u03b9\u03c3\u03c4\u03b7 \u03b9\u03ba\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b1\u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2. \u03a7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03a7\u03ac\u03c1\u03bd\u03c4\u03b9, \u03cc\u03c4\u03b1\u03bd \u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf\u03c2 \u03c4\u03bf\u03bd \u03b5\u03c0\u03b9\u03c3\u03ba\u03ad\u03c6\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf \u03bd\u03bf\u03c3\u03bf\u03ba\u03bf\u03bc\u03b5\u03af\u03bf: \u03c0\u03c1\u03bf\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03b4\u03b9\u03b1\u03c3\u03ba\u03b5\u03b4\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5 \u03b1\u03bd\u03ad\u03c6\u03b5\u03c1\u03b5 \u03c0\u03c9\u03c2 \u03c4\u03bf \u03c4\u03b1\u03be\u03af \u03bc\u03b5 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03ba\u03b1\u03c4\u03ad\u03c6\u03b8\u03b1\u03c3\u03b5 \u03c3\u03c4\u03bf \u03bd\u03bf\u03c3\u03bf\u03ba\u03bf\u03bc\u03b5\u03af\u03bf \u03b5\u03af\u03c7\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03bf\u03bb\u03cd \u03b2\u03b1\u03c1\u03b5\u03c4\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03c4\u03bf $1729$. \u039f \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03c4\u03bf\u03bd \u03b4\u03b9\u03cc\u03c1\u03b8\u03c9\u03c3\u03b5 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p> &#8220;\u038c\u03c7\u03b9, \u03cc\u03c7\u03b9, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b1\u03c5\u03c4\u03cc\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd \u03ba\u03b1\u03b8\u03ce\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03b4\u03cd\u03bd\u03b1\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03c4\u03b5\u03af \u03c9\u03c2 \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b4\u03cd\u03bf \u03ba\u03cd\u03b2\u03c9\u03bd \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5\u03c2: $1729 = 1^3 + 12^3 = 9^3 + 10^3$&#8221;<\/p><\/blockquote>\n\n\n\n<p>\u0391\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03bc\u03b5 \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b5\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03ba\u03b1\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1 &#8220;\u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c4\u03c9\u03bd \u03c4\u03b1\u03be\u03af&#8221; \u03bb\u03cc\u03b3\u03c9 \u03b1\u03c5\u03c4\u03bf\u03cd \u03c4\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd. \u0395\u03ba \u03c0\u03c1\u03ce\u03c4\u03b7\u03c2 \u03cc\u03c8\u03b5\u03c9\u03c2, \u03af\u03c3\u03c9\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c5\u03c0\u03b5\u03c1\u03b2\u03bf\u03bb\u03ae \u03bd\u03b1 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ae\u03c3\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9. \u038c\u03c0\u03c9\u03c2 \u03cc\u03bc\u03c9\u03c2 \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c3\u03c4\u03b7\u03bd \u0398\u03b5\u03c9\u03c1\u03af\u03b1 \u0391\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd, \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03b5\u03bd\u03b9\u03ba\u03ac \u03b1\u03c0\u03bb\u03ad\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c6\u03b1\u03bd\u03b5\u03c1\u03ce\u03bd\u03bf\u03c5\u03bd \u03c0\u03bf\u03bb\u03cd \u03b2\u03b1\u03b8\u03b9\u03ad\u03c2 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03bf-\u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03bc\u03ad\u03c2 \u03c3\u03c4\u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03bc\u03c0\u03b1\u03bd. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03c4\u03b1 \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03b1\u03c5\u03c4\u03bf\u03af \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03c5\u03bd \u03b1\u03c0\u03c1\u03cc\u03c3\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03b9\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b5\u03bb\u03b1\u03bd\u03ce\u03bd \u03bf\u03c0\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bc\u03b1\u03c2 \u03bf\u03b4\u03b7\u03b3\u03bf\u03cd\u03bd \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03ba\u03bf\u03bd\u03c4\u03ac \u03c3\u03c4\u03bf\u03bd \u03bf\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1 \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c4\u03c9\u03bd \u03ae \u03c3\u03c4\u03bf \u03bb\u03b5\u03b3\u03cc\u03bc\u03b5\u03bd\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03bf\u03be\u03bf \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1\u03c2. \u0391\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b5\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b2\u03b1\u03c1\u03cd\u03c4\u03b7\u03c4\u03b1, \u03cc\u03c0\u03c9\u03c2 \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03b9\u03c2 \u03b5\u03c0\u03b9\u03c6\u03ac\u03bd\u03b5\u03b9\u03b5\u03c2 $K3$ \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b7\u03c2 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bc\u03c0\u03b1\u03b3\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03c9\u03bd \u03c4\u03c9\u03bd \u03b5\u03be\u03c9\u03c4\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u03c3\u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c7\u03bf\u03c1\u03b4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b2\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b2\u03b1\u03c1\u03cd\u03c4\u03b7\u03c4\u03b1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"505\" src=\"https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/image-1024x505.png\" alt=\"\" class=\"wp-image-140\" srcset=\"https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/image-1024x505.png 1024w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/image-300x148.png 300w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/image-768x378.png 768w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/image.png 1045w\" sizes=\"(max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure>\n\n\n\n<p>\u0388\u03bd\u03b1 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03cc \u03c3\u03c5\u03bd\u03ad\u03b2\u03b7 \u03ad\u03bd\u03b1 \u03bc\u03b5\u03c3\u03b7\u03bc\u03ad\u03c1\u03b9 \u03c3\u03c4\u03bf \u03c3\u03c0\u03af\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03bc\u03bf\u03b9\u03c1\u03b1\u03b6\u03cc\u03c4\u03b1\u03bd \u03bc\u03b5 \u03c4\u03bf\u03bd \u0399\u03bd\u03b4\u03cc \u03bf\u03bc\u03bf\u03b3\u03b5\u03bd\u03ae \u03c4\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ad\u03c0\u03b5\u03b9\u03c4\u03b1 \u03b4\u03b9\u03ac\u03c3\u03b7\u03bc\u03bf \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03bb\u03cc\u03b3\u03bf \u039c\u03b1\u03c7\u03b1\u03bb\u03b1\u03bd\u03cc\u03bc\u03c0\u03b9\u03c2, \u03c4\u03b7\u03bd \u03ce\u03c1\u03b1 \u03c0\u03bf\u03c5 \u03bf \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b2\u03c1\u03b9\u03c3\u03ba\u03cc\u03c4\u03b1\u03bd \u03c3\u03c4\u03b7\u03bd \u03ba\u03bf\u03c5\u03b6\u03af\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b1\u03b3\u03b5\u03af\u03c1\u03b5\u03c5\u03b5. \u039f \u039c\u03b1\u03c7\u03b1\u03bb\u03b1\u03bd\u03cc\u03bc\u03c0\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03af\u03c0\u03b5 \u03c0\u03c9\u03c2 \u03b4\u03b9\u03ac\u03b2\u03b1\u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b3\u03c1\u03af\u03c6\u03bf \u03c3\u03c4\u03b7\u03bd \u0392\u03c1\u03b5\u03c4\u03b1\u03bd\u03b9\u03ba\u03ae \u03b5\u03c6\u03b7\u03bc\u03b5\u03c1\u03af\u03b4\u03b1 Strand \u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03b7\u03c3\u03b5 \u03ba\u03b1\u03b9 \u03b5\u03af\u03c7\u03b5 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2: <\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u0392\u03c1\u03b9\u03c3\u03ba\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bf\u03b4\u03cc \u03c3\u03c4\u03b7\u03bd \u03c0\u03cc\u03bb\u03b7 \u039b\u03ad\u03b2\u03b5\u03bd \u03c4\u03bf\u03c5 \u0392\u03b5\u03bb\u03b3\u03af\u03bf\u03c5 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 $n$ \u03c3\u03c0\u03af\u03c4\u03b9\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03bc\u03ad\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c3\u03b5\u03b9\u03c1\u03ac $1, 2, 3, \\dots, n$. \u03a5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03c0\u03af\u03c4\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03bc\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd \u03b4\u03b5\u03be\u03b9\u03ac \u03c4\u03bf\u03c5. \u0395\u03ac\u03bd \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd $n$ \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5 $50$ \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 $500$, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b9 \u03bd\u03bf\u03cd\u03bc\u03b5\u03c1\u03bf \u03ad\u03c7\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03bc\u03bf\u03bd\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03c0\u03af\u03c4\u03b9;<\/p><\/blockquote>\n\n\n\n<p>\u039f \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03c3\u03ba\u03ad\u03c6\u03c4\u03b7\u03ba\u03b5 \u03b3\u03b9\u03b1 \u03bb\u03af\u03b3\u03b1 \u03bc\u03cc\u03bd\u03bf \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03cc\u03bb\u03b5\u03c0\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ad\u03b4\u03c9\u03c3\u03b5 \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03b1\u03af\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7. \u039f \u039c\u03b1\u03c7\u03b1\u03bb\u03b1\u03bd\u03cc\u03bc\u03c0\u03b9\u03c2 \u03ba\u03b1\u03c4\u03ac\u03c0\u03bb\u03b7\u03ba\u03c4\u03bf\u03c2 \u03c4\u03bf\u03bd \u03c1\u03ce\u03c4\u03b7\u03c3\u03b5 \u03c0\u03c9\u03c2 \u03ba\u03b1\u03c4\u03ac\u03c6\u03b5\u03c1\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c9\u03c3\u03c4\u03ae \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c4\u03cc\u03c3\u03bf \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03bf \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b5:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u00ab\u0395\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bb\u03cc. \u038c\u03c4\u03b1\u03bd \u03ac\u03ba\u03bf\u03c5\u03c3\u03b1 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1, \u03ae\u03be\u03b5\u03c1\u03b1 \u03c0\u03c9\u03c2 \u03b7 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1. \u03a4\u03cc\u03c4\u03b5 \u03b1\u03bd\u03b1\u03c1\u03c9\u03c4\u03ae\u03b8\u03b7\u03ba\u03b1: \u03cc\u03bc\u03c9\u03c2 \u03c0\u03bf\u03b9\u03bf \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1; \u039a\u03b1\u03b9 \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03bc\u03bf\u03c5 \u03ae\u03c1\u03b8\u03b5 \u03c3\u03c4\u03bf \u03bc\u03c5\u03b1\u03bb\u03cc\u00bb.<\/p><\/blockquote>\n\n\n\n<p>\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03b1\u03c0\u03bb\u03cc \u03b1\u03bb\u03bb\u03ac \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03cc\u03c3\u03bf \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03b9\u03ce\u03b4\u03b5\u03c2 \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03b5\u03af \u03c4\u03cc\u03c3\u03bf \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03b1\u03c0\u03cc \u03bf\u03c0\u03bf\u03b9\u03bf\u03bd\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc \u03bb\u03cd\u03c4\u03b7. \u0391\u03bb\u03bb\u03ac \u03c0\u03ad\u03c1\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc, \u03b7 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03c0\u03b9\u03bf \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03c3\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf. \u0398\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03c0\u03c9\u03c2 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03b1\u03c4\u03c5\u03c0\u03c9\u03bc\u03ad\u03bd\u03bf \u03bc\u03b5 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf \u03b5\u03cd\u03c1\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03b1\u03c4\u03ce\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd \u03c3\u03b5 $50-500$. \u039f \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 <em>\u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1<\/em> \u03c9\u03c2 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7, \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b1\u03bd\u03c4\u03af \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b9 \u03bc\u03af\u03b1 \u03bb\u03cd\u03c3\u03b7 \u03c3\u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1, \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03b9 <strong>\u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03b4\u03c5\u03bd\u03b1\u03c4\u03ad\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1<\/strong>! \u03a3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03cd\u03c3\u03b1 \u03b1\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b8\u03b1 \u03ae\u03b8\u03b5\u03bb\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03ae\u03c3\u03c9 \u03bd\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03c9 \u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c6\u03c4\u03ac\u03c3\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03b3\u03b5\u03bd\u03b9\u03ba\u03b5\u03c5\u03bc\u03ad\u03bd\u03b7 \u03bb\u03cd\u03c3\u03b7. \u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03ad\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1;<\/p>\n\n\n\n<p>\u0388\u03bd\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ad\u03ba\u03c6\u03c1\u03b1\u03c3\u03b7 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/dfd3c0b57dae809f1246971a93d3878a6e35745d\" alt=\"{\\displaystyle a_{0}+{\\cfrac {b_{1}}{a_{1}+{\\cfrac {b_{2}}{a_{2}+{\\cfrac {b_{3}}{a_{3}+{_{\\ddots }}}}}}}}}\"\/><\/figure><\/div>\n\n\n\n<p>\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03c4\u03b5 \u03c0\u03c9\u03c2 \u03b1\u03bd \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c0\u03b5\u03c1\u03b1\u03c4\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9, \u03c4\u03cc\u03c4\u03b5 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c5\u03c0\u03bf\u03c7\u03c1\u03b5\u03c9\u03c4\u03b9\u03ba\u03ac \u03c1\u03b7\u03c4\u03cc\u03c2, \u03b5\u03bd\u03ce \u03b1\u03bd \u03cc\u03c7\u03b9, \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b1\u03c5\u03c4\u03cc\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03be&#8217;\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd \u03ac\u03c1\u03c1\u03b7\u03c4\u03bf\u03c2 (\u03b8\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03c0\u03c9\u03c2 \u03ac\u03c1\u03c1\u03b7\u03c4\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c1\u03b7\u03c4\u03cc\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b4\u03cd\u03bd\u03b1\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03c4\u03b5\u03af \u03c9\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b4\u03cd\u03bf \u03ac\u03bb\u03bb\u03c9\u03bd \u03b1\u03ba\u03b5\u03c1\u03b1\u03af\u03c9\u03bd). \u0397 \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2: \u03b7 \u03bc\u03c5\u03c3\u03c4\u03b9\u03ba\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c3\u03c7\u03bf\u03bb\u03ae \u03c4\u03c9\u03bd \u03a0\u03c5\u03b8\u03b1\u03b3\u03bf\u03c1\u03b5\u03af\u03c9\u03bd \u03b4\u03af\u03b4\u03b1\u03c3\u03ba\u03b5 \u03c0\u03c9\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b4\u03cd\u03bd\u03b1\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03c4\u03b5\u03af \u03c9\u03c2 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b4\u03cd\u03bf \u03ac\u03bb\u03bb\u03c9\u03bd \u03c6\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd. \u03a4\u03bf \u03b4\u03cc\u03b3\u03bc\u03b1 \u03b1\u03c5\u03c4\u03cc \u03b4\u03b5\u03bd \u03ae\u03c4\u03b1\u03bd \u03b1\u03c6\u03b7\u03c1\u03b7\u03bc\u03ad\u03bd\u03bf: \u03c3\u03c7\u03b5\u03c4\u03b9\u03b6\u03cc\u03c4\u03b1\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b3\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b7 \u03c6\u03b9\u03bb\u03bf\u03c3\u03bf\u03c6\u03af\u03b1 \u03ba\u03b1\u03b9 \u03ba\u03bf\u03c3\u03bc\u03bf\u03b8\u03ad\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b1\u03bd \u03bf\u03b9 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf\u03b9 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7\u03bd \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae \u03c4\u03c9\u03bd \u03bf\u03c5\u03c1\u03b1\u03bd\u03af\u03c9\u03bd \u03c3\u03c6\u03b1\u03b9\u03c1\u03ce\u03bd, \u03c4\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1, \u03c4\u03b7\u03bd \u03b9\u03b5\u03c1\u03ac \u03c4\u03b5\u03c4\u03c1\u03b1\u03ba\u03c4\u03cd, \u03c4\u03b7\u03bd \u03b4\u03c9\u03b4\u03b5\u03ba\u03b1\u03b5\u03b4\u03c1\u03b9\u03ba\u03ae \u03b4\u03bf\u03bc\u03ae \u03c4\u03bf\u03c5 \u03ba\u03cc\u03c3\u03bc\u03bf\u03c5, \u03c4\u03b7\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03bf\u03c5\u03c3\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1: $c^2 = a^2 + b^2$. \u0397 \u03cd\u03c0\u03b1\u03c1\u03be\u03b7 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ce\u03bd \u03c3\u03c7\u03ad\u03c3\u03b5\u03c9\u03bd \u03cc\u03c0\u03c9\u03c2 $5^2 = 3^2 + 4^2$ \u03c0\u03bf\u03c5 \u03ba\u03b1\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03b5\u03c2 \u03c4\u03c1\u03b9\u03ac\u03b4\u03b5\u03c2, \u03ae\u03c4\u03b1\u03bd \u03b1\u03c1\u03ba\u03b5\u03c4\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b5\u03af\u03c3\u03bf\u03c5\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03b7\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03a3\u03cd\u03bc\u03c0\u03b1\u03bd\u03c4\u03bf\u03c2.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/d\/d2\/Pythagorean.svg\/260px-Pythagorean.svg.png\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p>\u039c\u03af\u03b1 \u03b1\u03bd\u03b5\u03ba\u03b4\u03bf\u03c4\u03bf\u03bb\u03b9\u03ba\u03ae \u03b9\u03c3\u03c4\u03bf\u03c1\u03af\u03b1 \u03bb\u03ad\u03b5\u03b9 \u03c0\u03c9\u03c2 \u03ad\u03bd\u03b1 \u03b7\u03bb\u03b9\u03cc\u03bb\u03bf\u03c5\u03c3\u03c4\u03bf \u03c0\u03c1\u03c9\u03ca\u03bd\u03cc \u03cc\u03c0\u03bf\u03c5 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03ac\u03b4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ce\u03bd \u03c4\u03b1\u03be\u03af\u03b4\u03b5\u03c5\u03b5 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03c3\u03c7\u03bf\u03bb\u03ae \u03c3\u03c4\u03bf\u03bd \u039a\u03c1\u03cc\u03c4\u03c9\u03bd\u03b1, \u03bf \u038a\u03c0\u03c0\u03b1\u03c3\u03bf\u03c2 \u03bf \u039c\u03b5\u03c4\u03b1\u03c0\u03cc\u03bd\u03c4\u03b9\u03bf\u03c2 \u03b5\u03af\u03c7\u03b5 \u03c7\u03b1\u03c1\u03ac\u03be\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03ba\u03bf\u03c5\u03c0\u03b1\u03c3\u03c4\u03ae \u03bc\u03b5 \u03c4\u03bf \u03be\u03af\u03c6\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03ad\u03bd\u03b1 \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03bc\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03af\u03c3\u03b7 \u03bc\u03b5 $1$ \u03ba\u03b1\u03b9 \u03b1\u03bd\u03b1\u03c1\u03c9\u03c4\u03b9\u03cc\u03c4\u03b1\u03bd \u03c0\u03bf\u03b9\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b3\u03c9\u03bd\u03af\u03bf\u03c5 \u03c3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1. \u039c\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1, \u03c0\u03bf\u03b9\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03ba\u03b5\u03af\u03bd\u03bf\u03c2 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03c9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03bd\u03b1 \u03bc\u03bf\u03c5 \u03b4\u03ce\u03c3\u03b5\u03b9 \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 $2$; \u03a6\u03b1\u03bd\u03b5\u03c1\u03ac \u03bc\u03c0\u03b5\u03c1\u03b4\u03b5\u03bc\u03ad\u03bd\u03bf\u03c2, \u03c6\u03ce\u03bd\u03b1\u03be\u03b5 \u03c4\u03bf\u03bd \u03af\u03b4\u03b9\u03bf \u03c4\u03bf\u03bd \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1 \u03c0\u03c1\u03bf\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5 \u03bd\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03af\u03be\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03b2\u03bf\u03b7\u03b8\u03ae\u03c3\u03b5\u03b9 \u03b1\u03bb\u03bb\u03ac \u03b7 \u03c0\u03b1\u03c1\u03ac\u03b4\u03bf\u03c3\u03b7 \u03b8\u03ad\u03bb\u03b5\u03b9 \u03c4\u03bf\u03bd \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1 \u03bd\u03b1 \u03c3\u03ba\u03bf\u03c4\u03ce\u03bd\u03b5\u03b9 (\u03ae \u03c3\u03b5 \u03b5\u03c5\u03bd\u03bf\u03ca\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c3\u03b5\u03bd\u03ac\u03c1\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03b5\u03c4\u03ac\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03b8\u03ac\u03bb\u03b1\u03c3\u03c3\u03b1) \u03c4\u03bf\u03bd \u038a\u03c0\u03c0\u03b1\u03c3\u03bf \u03bc\u03cc\u03bb\u03b9\u03c2 \u03b1\u03bd\u03c4\u03b9\u03bb\u03ae\u03c6\u03b8\u03b7\u03ba\u03b5 \u03c3\u03b9\u03c9\u03c0\u03b7\u03c1\u03ac \u03c0\u03c9\u03c2 \u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03c5\u03c3\u03c4\u03b1\u03b8\u03b5\u03af.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" src=\"https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/Squareroot2-1024x853.png\" alt=\"\" class=\"wp-image-157\" width=\"454\" height=\"377\" srcset=\"https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/Squareroot2-1024x853.png 1024w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/Squareroot2-300x250.png 300w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/Squareroot2-768x640.png 768w, https:\/\/philokatholos.getway.org\/wp-content\/uploads\/2020\/09\/Squareroot2.png 1500w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><\/figure><\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>\u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd, \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af $p$ \u03ba\u03b1\u03b9 $q$ \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 $\\frac{p^2}{q^2} =2$, \u03c4\u03bf $\\sqrt{2}$ \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1, \u03ac\u03c1\u03c1\u03b7\u03c4\u03bf\u03c2.  \u03a3\u03b5 \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c1\u03b7\u03c4\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03c0\u03bf\u03c5 \u03b5\u03af\u03c4\u03b5 \u03c4\u03bf \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03b3\u03bc\u03b1 \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03bd\u03b5\u03b9 (\u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf $\\frac{1}{2}=0.5$) \u03b5\u03af\u03c4\u03b5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf \u03b1\u03bb\u03bb\u03ac \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 (\u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf $\\frac{1}{3}=0.333&#8230;$), \u03c4\u03b1 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ac \u03c8\u03b7\u03c6\u03af\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03ac\u03c1\u03c1\u03b7\u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03b4\u03b5\u03bd \u03c4\u03b5\u03bb\u03b5\u03b9\u03ce\u03bd\u03bf\u03c5\u03bd \u03c0\u03bf\u03c4\u03ad \u03ba\u03b1\u03b9 \u03bc\u03ac\u03bb\u03b9\u03c3\u03c4\u03b1 \u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 &#8220;\u03c7\u03b1\u03bf\u03c4\u03b9\u03ba\u03ae&#8221; \u03ba\u03b1\u03b9 \u03c0\u03bf\u03c4\u03ad \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c0.\u03c7 $\\sqrt{2} = 1.41421356237&#8230;$. \u0391\u03c6\u03bf\u03cd \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03ac\u03c1\u03c1\u03b7\u03c4\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc, \u03c4\u03af\u03b8\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc \u03c4\u03c1\u03cc\u03c0\u03bf \u03c4\u03bf \u03b5\u03c1\u03ce\u03c4\u03b7\u03bc\u03b1 \u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03bd\u03b1 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03bc\u03af\u03b1 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b7\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7. \u0397 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03b5\u03c7\u03ce\u03bd \u03ba\u03bb\u03b1\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03c0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b1. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b3\u03c1\u03ac\u03c6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf $\\sqrt{2}$ \u03c9\u03c2 $\\sqrt{2} = 1 + (\\sqrt{2} -1)$ \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ce\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9: $(\\sqrt{2} &#8211; 1)(\\sqrt{2}+1) = 1$ \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf $\\sqrt{2}$ \u03b1\u03bd\u03b1\u03b4\u03c1\u03bf\u03bc\u03b9\u03ba\u03ac:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>$\\begin{align}<br>\\sqrt{2} &amp;= 1+\\frac{1}{1+\\sqrt{2}} \\\\<br>&amp;=1 + \\frac{1}{2+\\frac{1}{1+\\sqrt{2}}} \\\\<br>&amp;=1 + \\frac{1}{2+\\frac{1}{2+\\frac{1}{1+\\sqrt{2}}}} \\\\<br>&amp;=1 + \\frac{1}{2+\\frac{1}{2+\\frac{1}{2+\\ldots }}}<br>\\end{align}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u03b7  \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03c0\u03b9\u03bf \u03bf\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ae \u03b3\u03c1\u03b1\u03c6\u03ae: $\\sqrt{2} = [1; \\bar{2}]$.<\/p>\n\n\n\n<p>\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03c9\u03bd \u03c4\u03c9\u03bd \u03b1\u03c1\u03c1\u03ae\u03c4\u03c9\u03bd \u03b5\u03af\u03c7\u03b5 \u03ae\u03b4\u03b7 \u03b1\u03c0\u03b1\u03c3\u03c7\u03bf\u03bb\u03ae\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03c5\u03c2 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03c3\u03c5\u03bd\u03ad\u03c7\u03b9\u03b6\u03b5 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b1\u03c4\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd\u03c2 \u03a1\u03c9\u03bc\u03b1\u03af\u03bf\u03c5\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b2\u03b1\u03b8\u03b9\u03ac \u03bc\u03b5\u03c4\u03b1\u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u0391\u03b3\u03af\u03b1\u03c2 \u03a3\u03bf\u03c6\u03af\u03b1\u03c2 \u03cc\u03c0\u03bf\u03c5 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03c4\u03c1\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u0391\u03c1\u03b9\u03c3\u03c4\u03bf\u03c4\u03ad\u03bb\u03b7 <em>&#8220;\u03c4\u03c1\u03b5\u1fd6\u03c2 \u1f02\u03bd \u03b5\u1f36\u03b5\u03bd \u03c6\u03b9\u03bb\u03bf\u03c3\u03bf\u03c6\u03af\u03b1\u03b9 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03b1\u03af\u0375 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u0375 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u0375 \u03b8\u03b5\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03ae&#8221;<\/em>, \u03b1\u03bd\u03c4\u03b1\u03bd\u03b1\u03ba\u03bb\u03ac \u03b3\u03bd\u03ce\u03c3\u03b7 \u03c4\u03cc\u03c3\u03bf \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd \u03bb\u03cc\u03b3\u03bf\u03c5 $\\frac{22}{7}$ \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc $\\pi$ \u03cc\u03c0\u03c9\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03bd\u03c4\u03bb\u03b7\u03c4\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03c4\u03bf\u03c5 \u0391\u03c1\u03c7\u03b9\u03bc\u03ae\u03b4\u03b7 \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03ad\u03c0\u03b5\u03b9\u03c4\u03b1 \u03b8\u03b5\u03c9\u03c1\u03b9\u03ce\u03bd \u03c4\u03bf\u03c5 \u0389\u03c1\u03c9\u03bd\u03b1 \u03c4\u03bf\u03c5 \u0391\u03bb\u03b5\u03be\u03b1\u03bd\u03b4\u03c1\u03ad\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03bf $\\sqrt(2)$. \u039f\u03b9 \u03bb\u03cc\u03b3\u03bf\u03b9 \u03b1\u03c5\u03c4\u03bf\u03af \u03ba\u03b1\u03c4\u03ac \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf <em>\u03b5\u03c0\u03b9\u03bb\u03cd\u03bf\u03c5\u03bd<\/em> \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b4\u03b5\u03b9\u03b3\u03bc\u03ad\u03bd\u03b1 <em>\u03b1\u03b4\u03cd\u03bd\u03b1\u03c4\u03bf<\/em> \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03cc\u03c0\u03c9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03ba\u03b1\u03c4&#8217;\u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03cd\u03c0\u03c9\u03bc\u03b1 \u03b4\u03af\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03af\u03c3\u03b8\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03c1\u03ae\u03c4\u03bf\u03c5 \u03c4\u03bf\u03c5 \u0398\u03b5\u03bf\u03cd \u039b\u03cc\u03b3\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03bc\u03ad\u03b3\u03b1 \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03af\u03bf\u03c5 \u03c4\u03b7\u03c2 \u0395\u03bd\u03c3\u03b1\u03c1\u03ba\u03ce\u03c3\u03b5\u03c9\u03c2 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03b5\u03c1\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03c0\u03ac\u03c3\u03b1 \u03c6\u03cd\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c0\u03ac\u03c3\u03b1 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/3\/3e\/Hagia_sophia_mathematische_Konstruktion.jpg\" alt=\"\" width=\"391\" height=\"578\"\/><\/figure><\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>\u0388\u03c4\u03c3\u03b9, \u03bc\u03b5 \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03bf\u03cd\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03b8\u03b1 \u03bb\u03ad\u03b3\u03b1\u03bc\u03b5 \u03c0\u03c9\u03c2 \u03bf\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03cc\u03b3\u03b9\u03c3\u03b1\u03bd \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2, \u03bf\u03bb\u03bf\u03ad\u03bd\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1\u03c2, \u03bc\u03ad\u03c3\u03c9 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03bf\u03cd\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf $\\sqrt{2}$, \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1: $1, \\frac{3}{2}, \\frac{7}{5}, \\frac{17}{12}, \\frac{41}{29}, \\frac{99}{70},\\frac{239}{169},\\frac{577}{408}$ \u03ba.\u03bf.\u03ba. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b4\u03af\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c5\u03c0\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03c3\u03b1\u03c2 \u03c3\u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u038a\u03c0\u03c0\u03b1\u03c3\u03bf\u03c5 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03c0\u03b9\u03bf \u03c0\u03ac\u03bd\u03c9.  <\/p>\n\n\n\n<p>\u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03bc\u03c9\u03c2 \u03c4\u03ce\u03c1\u03b1 \u03c4\u03b9 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03ad\u03c7\u03bf\u03c5\u03bd \u03cc\u03bb\u03b1 \u03b1\u03c5\u03c4\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd. \u0388\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd $n$ \u03c3\u03c0\u03af\u03c4\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c0\u03af\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03b6\u03b7\u03c4\u03bf\u03cd\u03bc\u03b5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf $z$. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, <\/p>\n\n\n\n<p>$$1,2,3,\\dots,z,z+1,z+2,\\dots,&#8230;,n$$<\/p>\n\n\n\n<p>\u0398\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03ac \u03c4\u03bf\u03c5 $z$ \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03bc\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b4\u03b5\u03be\u03b9\u03ac \u03c4\u03bf\u03c5, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2:<\/p>\n\n\n\n<p>$$1+2+3+\\dots+(z-1) = (z+1) + (z+2) + (z+3) + \\dots + n$$ <\/p>\n\n\n\n<p>\u0386\u03c1\u03b1, \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c4\u03cd\u03c0\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9:<\/p>\n\n\n\n<p>$$\\frac{z(z-1)}{2} = \\frac{n(n+1)}{2} &#8211; \\frac{z(z+1)}{2}$$ <\/p>\n\n\n\n<p>\u0394\u03b7\u03bb\u03b1\u03b4\u03ae, <\/p>\n\n\n\n<p>$$z(z-1) = n(n+1) &#8211; z(z+1)$$. <br><br>\u039a\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2, \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03c5\u03bc\u03b5 \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03b1 \u03cc\u03c4\u03b9:<\/p>\n\n\n\n<p>$$8z^2 = (2n+1)^2 -1$$<\/p>\n\n\n\n<p>\u039f\u03c0\u03cc\u03c4\u03b5, \u03b8\u03ad\u03c4\u03bf\u03bd\u03c4\u03b1\u03c2 $x=2n+1$ \u03ba\u03b1\u03b9 $y=2z$ \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 $x^2 &#8211; 2 y^2 = 1$ \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03bc\u03b5 \u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5 \u0399\u03bd\u03b4\u03bf\u03cd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03c0\u03bf\u03c5 \u03ad\u03b6\u03b7\u03c3\u03b5 \u03c4\u03bf\u03bd 7\u03bf \u03b1\u03b9\u03ce\u03bd\u03b1, \u03c4\u03bf\u03c5 \u0392\u03c1\u03b1\u03c7\u03bc\u03b1\u03b3\u03ba\u03bf\u03cd\u03c0\u03c4\u03b1. \u03a3\u03ae\u03bc\u03b5\u03c1\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03c9\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 Pell \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c5\u03c0\u03b5\u03cd\u03b8\u03c5\u03bd\u03b7 \u03b3\u03b9\u03b1 \u03bf\u03bb\u03cc\u03ba\u03bb\u03b7\u03c1\u03b7 \u03c4\u03b7\u03bd \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03c9\u03bd \u03bb\u03b5\u03b3\u03cc\u03bc\u03b5\u03bd\u03c9\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03c0\u03b5\u03ba\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd $\\mathbb{Q}(\\sqrt{d})$. \u0391\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b1\u03bc\u03b5 \u03c0\u03b9\u03bf \u03c0\u03ac\u03bd\u03c9 \u03b8\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ac:<\/p>\n\n\n\n<p>$$3^2 &#8211; 2 \\cdot 2^2 = 1$$<\/p>\n\n\n\n<p>$$7^2 &#8211; 2 \\cdot 5^2 = 1$$<\/p>\n\n\n\n<p>$$17^2 &#8211; 2 \\cdot 12^2 = 1$$<\/p>\n\n\n\n<p>$$\\dots$$<\/p>\n\n\n\n<p>\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 Pell \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03bf \u03c3\u03c5\u03bd\u03b5\u03c7\u03ad\u03c2 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03b4\u03bf\u03c7\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03c9\u03bd \u03c4\u03bf\u03c5 $\\sqrt{2}$ \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03c9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b1 \u03b6\u03b5\u03cd\u03b3\u03b7 <\/p>\n\n\n\n<p>$$(x,y): (3,2), (17,12), (99,70), (577,408), \\dots$$<\/p>\n\n\n\n<p>\u03b5\u03bd\u03ce \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03bf\u03c5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 $n = \\frac{x-1}{2}$ \u03ba\u03b1\u03b9 $z = \\frac{y}{2}$ \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03b4\u03c5\u03bd\u03b1\u03c4\u03ad\u03c2 (\u03ac\u03c0\u03b5\u03b9\u03c1\u03b5\u03c2) \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2:<\/p>\n\n\n\n<p>$$(n, z): (8, 6), (49, 35), (288, 204), \\dots$$  <\/p>\n\n\n\n<p>\u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c4\u03cd\u03c0\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b5\u03af\u03c7\u03b5 \u03c4\u03bf\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03cc \u03c4\u03bf $n$ \u03bd\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd $50-500$ \u03b7 \u03bc\u03cc\u03bd\u03b7 \u03b4\u03c5\u03bd\u03b1\u03c4\u03ae \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 (\u03b7 \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03b4\u03c9\u03c3\u03b5 \u03bf \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03c3\u03c4\u03b9\u03b3\u03bc\u03b9\u03b1\u03af\u03b1) \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03ac $288$ \u03ba\u03b1\u03b9 \u03c4\u03bf \u03c3\u03c0\u03af\u03c4\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc $204$!<\/p>\n\n\n\n<p>\u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03be\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03cc\u03c4\u03b9:<\/p>\n\n\n\n<p>$$1+2+3+4+\\dots+203 = 205+206+\\dots+288 = 20706$$<\/p>\n\n\n\n<p>\u039a\u03b1\u03c4\u03ac \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bb\u03cd\u03c3\u03b7, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03bf\u03c5 \u03c3\u03c0\u03b9\u03c4\u03b9\u03bf\u03cd \u03cc\u03c4\u03b1\u03bd \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b9\u03c4\u03b9\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc $288$. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0395\u03af\u03bd\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03c0\u03c9\u03c2 \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bc\u03c5\u03c3\u03c4\u03b7\u03c1\u03b9\u03ce\u03b4\u03b7 \u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b9\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03bf \u03b1\u03c5\u03c4\u03bf\u03b4\u03af\u03b4\u03b1\u03ba\u03c4\u03bf\u03c2 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03b5\u03af\u03c7\u03b5 \u03ba\u03b1\u03b9 \u03bc\u03af\u03b1 \u03b1\u03c3\u03c5\u03bd\u03b1\u03b3\u03ce\u03bd\u03b9\u03c3\u03c4\u03b7 \u03b9\u03ba\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b1\u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2. \u03a7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c3\u03c5\u03bd\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b5\u03af\u03c7\u03b5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03a7\u03ac\u03c1\u03bd\u03c4\u03b9, \u03cc\u03c4\u03b1\u03bd \u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf\u03c2 \u03c4\u03bf\u03bd \u03b5\u03c0\u03b9\u03c3\u03ba\u03ad\u03c6\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf \u03bd\u03bf\u03c3\u03bf\u03ba\u03bf\u03bc\u03b5\u03af\u03bf: \u03c0\u03c1\u03bf\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03b4\u03b9\u03b1\u03c3\u03ba\u03b5\u03b4\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5 \u03b1\u03bd\u03ad\u03c6\u03b5\u03c1\u03b5 \u03c0\u03c9\u03c2 \u03c4\u03bf \u03c4\u03b1\u03be\u03af \u03bc\u03b5 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/philokatholos.getway.org\/?p=137\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;\u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03a1\u03b1\u03bc\u03b1\u03bd\u03bf\u03c5\u03c4\u03b6\u03ac\u03bd&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/posts\/137"}],"collection":[{"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=137"}],"version-history":[{"count":31,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/posts\/137\/revisions"}],"predecessor-version":[{"id":175,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=\/wp\/v2\/posts\/137\/revisions\/175"}],"wp:attachment":[{"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=137"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=137"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/philokatholos.getway.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}