{"id":3072,"date":"2011-10-05T09:43:53","date_gmt":"2011-10-05T06:43:53","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=3072"},"modified":"2011-10-05T09:43:53","modified_gmt":"2011-10-05T06:43:53","slug":"mezopotamyalilarda-pi-sayisi","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/mezopotamyalilarda-pi-sayisi\/","title":{"rendered":"Mezopotamyal\u0131lar&#8217;da Pi Say\u0131s\u0131"},"content":{"rendered":"<p> Pi say\u0131s\u0131 \u00fczerinde, Babilliler&#8217;in \u00e7ok eski zamanlardan beri, kullan\u0131lan yakla\u015f\u0131k bir bilgiye sahip olduklar\u0131 anla\u015f\u0131lm\u0131\u015ft\u0131r. Genel olarak pi=3 de\u011ferini kullan\u0131yorlard\u0131. Baz\u0131 tabletlerde pi=3,125 de\u011feri ne de rastlan\u0131lm\u0131\u015ft\u0131r. Ayd\u0131n Say\u0131l\u0131, ad\u0131 ge\u00e7en eserinde, &#8220;Mezopotamyal\u0131lar&#8217;da, idealle\u015ftirilmi\u015f \u00e7emberlerle \u00fc\u00e7genlerdeki geometrik m\u00fcnasebetler arac\u0131l\u0131\u011f\u0131yla, \u00e7\u00f6z\u00fcmlenen problemlerde teorikle\u015ftirilmi\u015f ve soyutla\u015ft\u0131r\u0131lm\u0131\u015f bir durum mevcuttur&#8221; der. B\u00f6yle problemlerde sonu\u00e7 hesaplan\u0131rken pi say\u0131s\u0131 i\u00e7in, de\u011ferinin kullan\u0131lm\u0131\u015f oldu\u011funu belirtir.<\/p>\n<p> Bu de\u011feri; Mezopotamyal\u0131lar takribi sonu\u00e7lar i\u00e7in kullanmaktayd\u0131lar. Daha iyi yakla\u015f\u0131k sonu\u00e7lar elde etmek istedikleri zaman pi=3,125 de\u011ferini uygularlard\u0131. Ancak pi say\u0131s\u0131n\u0131n; M\u0131s\u0131rl\u0131lar&#8217;\u0131nkinden ve Susa tabletlerinin g\u00f6sterdi\u011fi de\u011ferden olduk\u00e7a daha iyi bir de\u011feri, ilkin Archimedes taraf\u0131ndan bulunmu\u015ftur. Kaynaklar; Mezopotamyal\u0131lar, yamuk alan\u0131 hesab\u0131 ile, silindir ve prizma hacim hesaplar\u0131n\u0131 bildiklerini ve pi i\u00e7in de 3 de\u011ferini kulland\u0131klar\u0131n\u0131 belirtir. Fakat eski Babil \u00e7a\u011f\u0131na ait olup, Susa&#8217;da bulunmu\u015f olan tabletlerde pi i\u00e7in kabul edilen de\u011ferin 3,125 oldu\u011fu anla\u015f\u0131lmaktad\u0131r.<\/p>\n<p> Bug\u00fcn bir veya \u00e7ok bilinmeyenli cebir denklemleriyle \u00e7\u00f6zd\u00fc\u011f\u00fcm\u00fcz t\u00fcrden bir\u00e7ok problemlere Babil tabletlerinde rastlanm\u0131\u015ft\u0131r. Mesela: Bu tablette, bir dikd\u00f6rtgenin eniyle boyunu veren say\u0131lar birbiriyle \u00e7arp\u0131l\u0131r ve bu say\u0131lar aras\u0131ndaki fark, bu \u00e7arp\u0131ma eklenirse 153 elde ediliyor. Ayn\u0131 say\u0131lar birbirine eklenirse 27 \u00e7\u0131k\u0131yor. Bu \u015feklin eni, boyu ve y\u00fcz\u00f6l\u00e7\u00fcm\u00fc nedir sorusu soruluyor ve cevap olarak: 20, 7 ve 140 de\u011ferleri veriliyor.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pi say\u0131s\u0131 \u00fczerinde, Babilliler&#8217;in \u00e7ok eski zamanlardan beri, kullan\u0131lan yakla\u015f\u0131k bir bilgiye sahip olduklar\u0131 anla\u015f\u0131lm\u0131\u015ft\u0131r. Genel olarak pi=3 de\u011ferini kullan\u0131yorlard\u0131. Baz\u0131 tabletlerde pi=3,125 de\u011feri ne de rastlan\u0131lm\u0131\u015ft\u0131r. Ayd\u0131n Say\u0131l\u0131, ad\u0131 ge\u00e7en eserinde, &#8220;Mezopotamyal\u0131lar&#8217;da, idealle\u015ftirilmi\u015f \u00e7emberlerle \u00fc\u00e7genlerdeki geometrik m\u00fcnasebetler arac\u0131l\u0131\u011f\u0131yla, \u00e7\u00f6z\u00fcmlenen problemlerde teorikle\u015ftirilmi\u015f ve soyutla\u015ft\u0131r\u0131lm\u0131\u015f bir durum mevcuttur&#8221; der. B\u00f6yle problemlerde sonu\u00e7 hesaplan\u0131rken pi say\u0131s\u0131 i\u00e7in, &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7270],"class_list":["post-3072","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-mezopotamyalilarda-pi-sayisi"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3072","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3072"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3072\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3072"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3072"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}