{"id":96,"date":"2011-03-05T11:16:26","date_gmt":"2011-03-05T10:16:26","guid":{"rendered":"http:\/\/www.clayinformatique.ch\/mathsenquestions2\/2011\/03\/05\/cercle-a-disque-theorie\/"},"modified":"2016-02-01T11:14:48","modified_gmt":"2016-02-01T10:14:48","slug":"cercle-a-disque-theorie","status":"publish","type":"post","link":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/?p=96","title":{"rendered":"Cercle &#038; disque &#8211; th\u00e9orie"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" 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