{"id":3733,"date":"2023-01-17T13:56:18","date_gmt":"2023-01-17T10:56:18","guid":{"rendered":"https:\/\/blog.inekle.com\/?p=3733"},"modified":"2026-08-25T20:04:12","modified_gmt":"2026-08-25T17:04:12","slug":"tarihteki-unlu-matematikciler-hakkinda-ufak-bir-gezintiye-cikmaya-ne-dersin","status":"publish","type":"post","link":"https:\/\/blog.inekle.com\/tarihteki-unlu-matematikciler-hakkinda-ufak-bir-gezintiye-cikmaya-ne-dersin\/","title":{"rendered":"\u00dcnl\u00fc Matematik\u00e7ilere K\u0131sa Bir Yolculuk"},"content":{"rendered":"\n

1.Thales<\/strong><\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Antik Yunan d\u00f6neminde ya\u015fam\u0131\u015f ve d\u00f6neme damga vurmu\u015f olan \u00fcnl\u00fc d\u00fc\u015f\u00fcn\u00fcr Thales ile yaz\u0131ma ba\u015flamak istiyorum. Thales<\/strong> sadece matematik i\u00e7in de\u011fil felsefe i\u00e7in de \u00e7ok \u00f6nemli bir yerdedir \u00e7\u00fcnk\u00fc felsefe tarihi Thales ile ba\u015flam\u0131\u015ft\u0131r. \u0130lk defa geometri i\u00e7in kendi mant\u0131ksal bir yap\u0131 geli\u015ftirdi ve ilk defa ispat d\u00fc\u015f\u00fcncesini geometriye Thales getirdi. G\u00fcne\u015f tutulmas\u0131n\u0131, kendine \u00f6zg\u00fc hesap yoluyla tahmin etmi\u015f ve bu ona b\u00fcy\u00fck bir sayg\u0131nl\u0131k kazand\u0131rarak isminin duyulmas\u0131n\u0131 sa\u011flam\u0131\u015ft\u0131r. G\u00f6lge boylar\u0131n\u0131 inceleyerek nesnelerle olan orant\u0131sal ili\u015fkileriyle piramitlerin boylar\u0131n\u0131 hesaplam\u0131\u015ft\u0131r.Thales\u2019in yapt\u0131\u011f\u0131 baz\u0131 ispatlar ise \u015funlard\u0131r.<\/p>\n\n\n\n

-\u00c7ap daireyi 2 e\u015f par\u00e7aya b\u00f6ler.<\/p>\n\n\n\n

-\u0130kizkenar \u00fc\u00e7genin taban a\u00e7\u0131lar\u0131 e\u015fittir.<\/p>\n\n\n\n

-Yar\u0131m dairede \u00e7ap\u0131 g\u00f6ren a\u00e7\u0131 diktir.<\/p>\n\n\n\n

-Benzer \u00fc\u00e7genlerin kenarlar\u0131 oranl\u0131d\u0131r.<\/p>\n\n\n\n

-Benzer \u00fc\u00e7genlerin kenarlar\u0131 oranl\u0131d\u0131r. <\/p>\n\n\n\n

Bunun yan\u0131nda Thales, geometrinin t\u00fcmdengelimli  bir bilim oldu\u011funu ortaya koymu\u015ftur.<\/p>\n\n\n\n

2. Pisagor <\/strong><\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Bir anlat\u0131ya g\u00f6re demirciler \u00e7al\u0131\u015f\u0131rken \u00f6rslerinden \u00e7\u0131kan sesi duyan Pisagor ,bunun \u00e7ok uyumlu oldu\u011funu d\u00fc\u015f\u00fcnm\u00fc\u015f ve “Do\u011fa kanunlar\u0131 buna izin veriyorsa bu kanunlar matematikseldir.” demi\u015ftir. Bundan hareketle, notalar\u0131n matematiksel form\u00fcllere d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilece\u011fini ke\u015ffetti\u011fi s\u00f6ylenir. Say\u0131lara bu denli de\u011fer veren Pisagor, say\u0131lar \u00fczerine Pisagor Okulunu kurmu\u015ftur.Onlar i\u00e7in her \u015fey say\u0131lara indirgenebilir. <\/p>\n\n\n\n

Pisagordan \u00f6nce Moskova papir\u00fcslerinde 3-4-5 \u00fc\u00e7geninin kullan\u0131m\u0131na, Mezopotamya tarihinde ise Pisagor teoremi uygulamalar\u0131na rastlanm\u0131\u015ft\u0131r fakat bunu teorem haline getirememi\u015flerdir daha sonradan Pisagor kendi ad\u0131yla an\u0131lan Pisagor teoreminin ispat\u0131n\u0131 yapm\u0131\u015ft\u0131r. <\/p>\n\n\n\n

3. Euclid (\u00d6klid) <\/strong><\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Antik Yunan zaman\u0131nda ya\u015fayan ve geometrinin babas\u0131 olarak an\u0131lan en \u00f6nemli matematik\u00e7ilerden biridir. Yazd\u0131\u011f\u0131 13 ciltlik \u201cElementler\u201d kitab\u0131 ile g\u00fcn\u00fcm\u00fcz matemati\u011finin ve ismi ile an\u0131lan \u00d6klid  Geometrisi\u2019nin temelini atm\u0131\u015ft\u0131r.  Elementler kitab\u0131nda g\u00fcn\u00fcm\u00fcz geometrisinin de temelini olu\u015fturan 5 postulat bulunmaktad\u0131r. Bu 5 postulattan be\u015fincisi matematik tarihinde \u00f6nemli tart\u0131\u015fmalara yol a\u00e7arak \u00d6klid d\u0131\u015f\u0131 geometriler olarak adland\u0131r\u0131lan yeni geometri alanlar\u0131n\u0131n in\u015fas\u0131na zemin haz\u0131rlam\u0131\u015ft\u0131r.<\/p>\n\n\n\n

Postulat: \u201cE\u011fer bir do\u011fru par\u00e7as\u0131n\u0131, iki do\u011frunun \u00fczerinden ge\u00e7ecek \u015fekilde \u00e7izerseniz ve ayn\u0131 tarafta doksan dereceden daha az iki a\u00e7\u0131 olu\u015fursa, o zaman bu iki do\u011fru kesi\u015fir.\u201d ve Klasik d\u00f6nemde Labochevsky ,Bolyai ve Riemann 5.postulat\u0131n yerine onun z\u0131tt\u0131 olan postulatlar ortaya koyarak iki yeni geometri olu\u015fturulabilece\u011fini g\u00f6stermi\u015flerdir. <\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

4. Labochevsky,<\/strong> <\/p>\n\n\n\n

paralellik postulat\u0131n\u0131 yok sayarak  hiperbolik geometriyi in\u015fa etmi\u015ftir. Ayn\u0131 zamanda birbirlerinden ba\u011f\u0131ms\u0131z olarak Bolyai<\/strong> de ayn\u0131 sonuca ula\u015ft\u0131\u011f\u0131 i\u00e7in hiperbolik geometriye Labochevsky-Bolyai geometrisi denilmektedir. <\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Riemann<\/strong> ise Riemann metri\u011fi ve e\u011frili\u011fi \u00fczerinde tart\u0131\u015farak Riemann geometrisini (eliptik geometriyi) in\u015fa etmi\u015ftir. <\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Ne dersin ilerde farkl\u0131 geometri alanlar\u0131 da ortaya \u00e7\u0131kabilir mi?<\/strong><\/p>\n\n\n\n

\u0130layda \u0130liman<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

17.01.2023<\/p>\n","protected":false},"excerpt":{"rendered":"

1.Thales Antik Yunan d\u00f6neminde ya\u015fam\u0131\u015f ve d\u00f6neme damga vurmu\u015f olan \u00fcnl\u00fc d\u00fc\u015f\u00fcn\u00fcr Thales ile yaz\u0131ma ba\u015flamak istiyorum. Thales sadece matematik i\u00e7in de\u011fil felsefe i\u00e7in\u2026<\/p>\n","protected":false},"author":1,"featured_media":3742,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_inekle_views":2,"footnotes":""},"categories":[50],"tags":[708,1915,22,1916,830,1464,1921,711,163,42,1913,1917,1919,49,154,1920,1922,1361,1911,1918,686,1914,70,151,1912,685],"class_list":["post-3733","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-online-egitim","tag-ayt","tag-bir-gezintiye","tag-canli-ders","tag-cikmaya","tag-geometri","tag-hakkinda","tag-labochevsky","tag-lgs","tag-lys-tavsiyeleri","tag-matematik","tag-matematikciler","tag-ne-dersin","tag-oklid","tag-online-dershane","tag-online-ozel-ders","tag-pisagor","tag-riemann","tag-tarihi","tag-tarihteki","tag-thales","tag-tyt","tag-ufak","tag-universite-tercih","tag-universiteliden-ozel-ders","tag-unlu","tag-yks"],"_links":{"self":[{"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/posts\/3733","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/comments?post=3733"}],"version-history":[{"count":1,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/posts\/3733\/revisions"}],"predecessor-version":[{"id":11033,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/posts\/3733\/revisions\/11033"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/media\/3742"}],"wp:attachment":[{"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/media?parent=3733"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/categories?post=3733"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.inekle.com\/wp-json\/wp\/v2\/tags?post=3733"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}