{"id":2294,"date":"2017-12-30T14:53:37","date_gmt":"2017-12-30T12:53:37","guid":{"rendered":"http:\/\/esiros.sites.sch.gr\/wordpress\/?p=2294"},"modified":"2021-10-23T19:22:59","modified_gmt":"2021-10-23T17:22:59","slug":"%ce%bb%ce%bf%ce%b3%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%ce%b9%ce%ba%ce%ae-%cf%83%cf%80%ce%b5%ce%af%cf%81%ce%b1","status":"publish","type":"post","link":"https:\/\/esiros.sites.sch.gr\/wordpress\/?p=2294","title":{"rendered":"\u039b\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1."},"content":{"rendered":"<p style=\"text-align: justify;\">\u0393\u03b9\u03b1 \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 <strong>\u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03ae \u03b9\u03c3\u03bf\u03b3\u03ce\u03bd\u03b9\u03b1<\/strong> \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03b8\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03bf\u03cd\u03bc\u03b5 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\u03ba\u03b1\u03b9 y=g(t) \u03c0\u03bf\u03c5 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2.<!--more--><\/p>\n<p style=\"text-align: justify;\">\u039f\u03b9 \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b7\u03c2 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n<p style=\"text-align: center;\"><strong>x(t)=\u03b1 e<sup>\u03b2t<\/sup> \u03c3\u03c5\u03bdt<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>y(t)=\u03b1 e<sup>\u03b2t<\/sup> \u03b7\u03bct<\/strong><\/p>\n<p style=\"text-align: justify;\">\u03cc\u03c0\u03bf\u03c5 \u03b1, \u03b2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 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\u03b1\u03c0\u03cc \u03bb\u03ac\u03b8\u03bf\u03c2 \u03af\u03c3\u03c9\u03c2, \u03c3\u03c7\u03b5\u03b4\u03af\u03b1\u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03c4\u03bf\u03c5 \u0391\u03c1\u03c7\u03b9\u03bc\u03ae\u03b4\u03b7 \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03c4\u03b7 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae.<\/p>\n<p style=\"text-align: justify;\">\u03a0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b8\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03bc\u03b9\u03ba\u03c1\u03bf\u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae GeoGebra \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03cc\u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03b2\u03ac\u03bb\u03bb\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03bf\u03c5\u03c2 \u03b1, \u03b2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b4\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03b4\u03c1\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c3\u0384 \u03b1\u03c5\u03c4\u03ae. \u0395\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03ba\u03bf\u03c5\u03c4\u03af &#8220;\u03b5\u03c6\u03b1\u03c0\u03c4\u03bf\u03bc\u03ad\u03bd\u03b7&#8221; \u03b8\u03b1 \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9: \u03b7 \u03b5\u03c6\u03b1\u03c0\u03c4\u03bf\u03bc\u03ad\u03bd\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\u03c2 \u03c3\u03b5 \u03bf\u03c0\u03bf\u03b9\u03bf\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u0391, \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \u039f\u0391 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03b3\u03c9\u03bd\u03af\u03b1, \u03b3\u03b9 \u03b1\u03c5\u03c4\u03cc \u03ba\u03b1\u03b9 \u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 \u03b9\u03c3\u03bf\u03b3\u03ce\u03bd\u03b9\u03b1. \u039c\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03bf \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03b5\u03c4\u03b5. \u0391\u03bd \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0391 \u03b4\u03b5\u03bd \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03bf\u03b8\u03cc\u03bd\u03b7 \u03c3\u03b1\u03c2 \u03b1\u03bb\u03bb\u03ac\u03be\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03bf\u03c5 \u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03b9\u03c3\u03c4\u03b5\u03af.<\/p>\n<p><a href=\"https:\/\/ggbm.at\/pd99zKUu\">\u039c\u03b5\u03c4\u03ac\u03b2\u03b1\u03c3\u03b7 \u03c3\u03b5 \u03c0\u03bb\u03ae\u03c1\u03b7 \u03bf\u03b8\u03cc\u03bd\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2.<\/a><\/p>\n<p><iframe loading=\"lazy\" style=\"border: 0px;\" title=\"\u039b\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/h3asB7ES\/width\/723\/height\/476\/border\/888888\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/true\/rc\/false\/ld\/false\/sdz\/true\/ctl\/false\" width=\"723px\" height=\"390px\" scrolling=\"no\"> <\/iframe><\/p>\n<p><span style=\"text-decoration: underline;\">\u03a0\u03b5\u03c4\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1.<\/span><\/p>\n<p style=\"text-align: justify;\">\u03a4\u03b1 \u03b3\u03b5\u03c1\u03ac\u03ba\u03b9\u03b1\u00a0\u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03b4\u03cd\u03bf \u03b4\u03b5\u03be\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c4\u03b5\u03b8\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03b8\u03ae\u03c1\u03b1\u03bc\u03ac \u03c4\u03bf\u03c5\u03c2, \u03c4\u03b7\u03bd \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c0\u03c4\u03ae\u03c3\u03b7\u03c2\u00a0 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03bf\u03c0\u03c4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03bf\u03be\u03cd\u03c4\u03b7\u03c4\u03b1. \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c4\u03cd\u03c7\u03bf\u03c5\u03bd \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b1\u03b5\u03c1\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03ac\u03c1\u03b1 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03bf \u03ba\u03b5\u03c6\u03ac\u03bb\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c5\u03b8\u03c5\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03bf\u03c1\u03bc\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bb\u03bb\u03ac \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c4\u03b5\u03c1\u03b5\u03af \u03c3\u03b5 \u03bf\u03c0\u03c4\u03b9\u03ba\u03ae \u03bf\u03be\u03cd\u03c4\u03b7\u03c4\u03b1 \u03b3\u03b9\u03b1\u03c4\u03af \u03b7 \u03b2\u03ad\u03bb\u03c4\u03b9\u03c3\u03c4\u03b7 \u03cc\u03c1\u03b1\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03b2\u03b1\u03b8\u03cd \u03b2\u03bf\u03b8\u03c1\u03af\u03bf \u03c4\u03c9\u03bd \u03bf\u03c6\u03b8\u03b1\u03bb\u03bc\u03ce\u03bd\u00a0 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03b1\u03bd\u03b1\u03c4\u03bf\u03bb\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03b5 \u03b3\u03c9\u03bd\u03af\u03b1 40 \u03bc\u03bf\u03b9\u03c1\u03ce\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03ac\u03be\u03bf\u03bd\u03b1 \u03c4\u03b7\u03c2 \u03ba\u03b5\u03c6\u03b1\u03bb\u03ae\u03c2. \u0393\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03ba\u03b1\u03c3\u03c4\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b3\u03c5\u03c1\u03af\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf \u03ba\u03b5\u03c6\u03ac\u03bb\u03b9 \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7\u03bd \u03c0\u03c4\u03ae\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03bf\u03c5\u03bd \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03ac\u03c1\u03b1 \u03c7\u03ac\u03c3\u03bf\u03c5\u03bd \u03c3\u03b5 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1, \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c4\u03af\u03b8\u03b5\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03c0\u03bf\u03c1\u03b5\u03af\u03b1, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03c4\u03ac \u03bc\u03ae\u03ba\u03bf\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\u03c2 \u03b5\u03ba\u03bc\u03b5\u03c4\u03b1\u03bb\u03bb\u03b5\u03c5\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c6\u03b1\u03c0\u03c4\u03bf\u03bc\u03ad\u03bd\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c0\u03b9\u03c3\u03c4\u03ce\u03c3\u03b1\u03c4\u03b5 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9.<\/p>\n<p><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/falcon-logarithmic-spiral.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-2326\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/falcon-logarithmic-spiral-1024x902.png\" alt=\"\" width=\"525\" height=\"462\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/falcon-logarithmic-spiral-1024x902.png 1024w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/falcon-logarithmic-spiral-300x264.png 300w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/falcon-logarithmic-spiral-768x676.png 768w\" sizes=\"auto, (max-width: 525px) 100vw, 525px\" \/><\/a><\/p>\n<p><span style=\"text-decoration: underline;\">\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c3\u03c3\u03ac\u03c1\u03c9\u03bd \u03c3\u03ba\u03b1\u03b8\u03b1\u03c1\u03b9\u03ce\u03bd.<\/span><\/p>\n<p style=\"text-align: justify;\">\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03c3\u03ba\u03b1\u03b8\u03ac\u03c1\u03b9\u03b1 \u03c3\u03c4\u03b9\u03c2 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b9\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03ad\u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03b5\u03af \u03bd\u03b1 \u03c0\u03b9\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf \u03c3\u03ba\u03b1\u03b8\u03ac\u03c1\u03b9 \u03c0\u03bf\u03c5 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ae. To A \u03ba\u03c5\u03bd\u03b7\u03b3\u03ac\u03b5\u03b9 \u03c4\u03bf \u0392, \u03c4\u03bf \u0392 \u03ba\u03c5\u03bd\u03b7\u03b3\u03ac\u03b5\u03b9 \u03c4\u03bf \u0393 \u03ba\u03bb\u03c0. \u03a0\u03bf\u03b9\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c0\u03bf\u03c1\u03b5\u03af\u03b1 \u03c4\u03c9\u03bd \u03c3\u03ba\u03b1\u03b8\u03b1\u03c1\u03b9\u03ce\u03bd; \u0391\u03c1\u03c7\u03b9\u03ba\u03ac \u03c4\u03b1 \u03c3\u03ba\u03b1\u03b8\u03ac\u03c1\u03b9\u03b1 \u03b8\u03b1 \u03ba\u03b9\u03bd\u03b7\u03b8\u03bf\u03cd\u03bd \u03ba\u03b1\u03c4\u03ac \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ce\u03bd \u03c4\u03bf\u03c5 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b1\u03bb\u03bb\u03ac \u03b3\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03bb\u03af\u03b3\u03bf \u03b1\u03c6\u03bf\u03cd \u03c4\u03bf \u03c3\u03ba\u03b1\u03b8\u03ac\u03c1\u03b9 \u03c3\u03c4\u03cc\u03c7\u03bf\u03c2 \u03b8\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c6\u03cd\u03b3\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03bf\u03c1\u03c5\u03c6\u03ae \u03c0\u03bf\u03c5 \u03b2\u03c1\u03b9\u03c3\u03ba\u03cc\u03c4\u03b1\u03bd \u03c0\u03c1\u03b9\u03bd. \u0388\u03c4\u03c3\u03b9 \u03b8\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bd \u03b4\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03ba\u03b9\u03bd\u03b7\u03b8\u03bf\u03cd\u03bd \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b9\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03ac\u03bb\u03bb\u03bf\u03c5 \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03bf\u03cd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c0\u03ac\u03bb\u03b9 \u03b3\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03bb\u03af\u03b3\u03bf. \u03a4\u03b5\u03bb\u03b9\u03ba\u03ac \u03bf\u03b9 \u03c0\u03bf\u03c1\u03b5\u03af\u03b5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b8\u03b1 \u03c3\u03c5\u03b3\u03ba\u03bb\u03af\u03bd\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b5\u03c2. \u03a4\u03bf \u03af\u03b4\u03b9\u03bf \u03b8\u03b1 \u03c3\u03c5\u03bc\u03b2\u03b5\u03af \u03b1\u03bd \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b1 \u03c3\u03ba\u03b1\u03b8\u03ac\u03c1\u03b9\u03b1 \u03c3\u03c4\u03b9\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ad\u03c2 \u03bf\u03c0\u03bf\u03b9\u03bf\u03c5\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ac\u03bb\u03bb\u03bf\u03c5 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03c0\u03bf\u03bb\u03c5\u03b3\u03ce\u03bd\u03bf\u03c5.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2345 size-large\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Beatle_spiral-1024x859.png\" alt=\"\" width=\"525\" height=\"440\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Beatle_spiral-1024x859.png 1024w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Beatle_spiral-300x252.png 300w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Beatle_spiral-768x644.png 768w\" sizes=\"auto, (max-width: 525px) 100vw, 525px\" \/><\/p>\n<p style=\"text-align: justify;\">\u039c\u03ae\u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ae \u03b3\u03c9\u03bd\u03af\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c0\u03b5\u03b9\u03c1\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5;<\/p>\n<p><span style=\"text-decoration: underline;\">\u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1\u03c2.<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Nautilus_Cutaway_with_Logarithmic_Spiral.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2314 size-thumbnail\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Nautilus_Cutaway_with_Logarithmic_Spiral-150x150.png\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Nautilus_Cutaway_with_Logarithmic_Spiral-150x150.png 150w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/Nautilus_Cutaway_with_Logarithmic_Spiral-100x100.png 100w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><\/td>\n<td><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/99D6C3AA-E7F6-42B0-B5D7-ED44B30CD494.jpeg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2290 size-thumbnail\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/99D6C3AA-E7F6-42B0-B5D7-ED44B30CD494-150x150.jpeg\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/99D6C3AA-E7F6-42B0-B5D7-ED44B30CD494-150x150.jpeg 150w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/99D6C3AA-E7F6-42B0-B5D7-ED44B30CD494-100x100.jpeg 100w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><\/td>\n<td><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/6053658_orig.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2356 size-thumbnail\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/6053658_orig-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/6053658_orig-150x150.jpg 150w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/6053658_orig-100x100.jpg 100w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><\/td>\n<td><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/m?t?o-d?pression-atmosph?rique-1560x1352-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2359 size-thumbnail\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/m?t?o-d?pression-atmosph?rique-1560x1352-2-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" \/><\/a><\/td>\n<td><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/conf_pub_iap_2015_page_26.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2358 size-thumbnail\" src=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/conf_pub_iap_2015_page_26-150x150.jpg\" alt=\"\" width=\"150\" height=\"150\" srcset=\"https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/conf_pub_iap_2015_page_26-150x150.jpg 150w, https:\/\/esiros.sites.sch.gr\/wordpress\/wp-content\/uploads\/2017\/12\/conf_pub_iap_2015_page_26-100x100.jpg 100w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/><\/a><\/td>\n<\/tr>\n<tr>\n<td>\u039d\u03b1\u03c5\u03c4\u03af\u03bb\u03bf\u03c2<\/td>\n<td>\u039c\u03c0\u03c1\u03cc\u03ba\u03bf\u03bb\u03bf \u03c1\u03bf\u03bc\u03b1\u03bd\u03ad\u03c3\u03ba\u03bf<\/td>\n<td>\u0397\u03bb\u03b9\u03bf\u03c4\u03c1\u03cc\u03c0\u03b9\u03bf<\/td>\n<td>\u039a\u03c5\u03ba\u03bb\u03ce\u03bd\u03b1\u03c2<\/td>\n<td>\u03a3\u03c0\u03b5\u03b9\u03c1\u03bf\u03b5\u03b9\u03b4\u03ae\u03c2 \u03b3\u03b1\u03bb\u03b1\u03be\u03af\u03b1\u03c2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u03a0\u03b7\u03b3\u03ad\u03c2:<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Logarithmic_spiral\">https:\/\/en.wikipedia.org\/wiki\/Logarithmic_spiral<\/a><\/p>\n<p><a href=\"http:\/\/mathworld.wolfram.com\/LogarithmicSpiral.html\">http:\/\/mathworld.wolfram.com\/LogarithmicSpiral.html<\/a><\/p>\n<p><a href=\"http:\/\/science.sciencemag.org\/content\/290\/5498\/1857.3\">http:\/\/science.sciencemag.org\/content\/290\/5498\/1857.3<\/a><\/p>\n<p><a href=\"http:\/\/mathworld.wolfram.com\/MiceProblem.html\">http:\/\/mathworld.wolfram.com\/MiceProblem.html<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03ae \u03b9\u03c3\u03bf\u03b3\u03ce\u03bd\u03b9\u03b1 \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03b8\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03bf\u03cd\u03bc\u03b5 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2. \u0388\u03bd\u03b1 \u03b3\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1 \u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9, \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03bb\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03ba\u03c6\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03bc\u03b5 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ae\u03c2 y=f(x) \u03b3\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7. \u0398\u03c5\u03bc\u03b7\u03b8\u03b5\u03af\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bf\u03b9 \u03ba\u03b1\u03c4\u03b1\u03ba\u03cc\u03c1\u03c5\u03c6\u03b5\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03bd\u03b1 \u03c4\u03ad\u03bc\u03bd\u03bf\u03c5\u03bd \u03c4\u03bf \u03b3\u03c1\u03ac\u03c6\u03b7\u03bc\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c4\u03bf \u03c0\u03bf\u03bb\u03cd \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03ba\u03ac\u03c4\u03b9 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/esiros.sites.sch.gr\/wordpress\/?p=2294\" class=\"more-link\">\u03a3\u03c5\u03bd\u03b5\u03c7\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03b3\u03bd\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5<span class=\"screen-reader-text\"> &#8220;\u039b\u03bf\u03b3\u03b1\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ae \u03c3\u03c0\u03b5\u03af\u03c1\u03b1.&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[99,34],"tags":[],"class_list":["post-2294","post","type-post","status-publish","format-standard","hentry","category-99","category-34"],"_links":{"self":[{"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2294","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2294"}],"version-history":[{"count":50,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2294\/revisions"}],"predecessor-version":[{"id":3650,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/2294\/revisions\/3650"}],"wp:attachment":[{"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/esiros.sites.sch.gr\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}