شجرة فيثاغورث a^2 + b^2 = c^2

فيثاغورس في الرياضيات

اخر تحديث :

شجرة فيثاغورث

شجرة فيثاغورس هي شجرة كسيرية مكونة من عدة مربعات. سميت الشجرة تيمناً بالعالم فيثاغورس لأن كل ثلاثة مربعات متماسة تكون مثلث قائم الزاوية

a^2 + b^2 = c^2

والذي هو شكل يستخدم عادة في إثبات مبرهنة فيثاغورس.

إن إنشاء شجرة فيثاغورس يبدأ بمربع. أعلاه مربعان آخران، كلاً منهما ينقص طوله بكسر خطي مقداره

{\frac {1}{2}}{\sqrt {2}}

، وذلك التطبيق يكرر مراراً وتكراراً إلي أصغر مربع (إلي ما لا نهاية). الرسم التالي يوضح أول 8 تكرارات مسلسلة في بناء شجرة فيثاغورس.

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\u0625\u062f\u062e\u0627\u0644 \u0639\u0646\u0648\u0627\u0646 \u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a \u0635\u0627\u0644\u062d.', 'contactFormEmptyMessageMsg': '\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u062d\u0642\u0644 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u0641\u0627\u0631\u063a\u064b\u0627.', 'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'blogId': '3663201903761680441', 'contactFormNameMsg': '\u0627\u0644\u0627\u0633\u0645', 'contactFormEmailMsg': '\u0628\u0631\u064a\u062f \u0625\u0644\u0643\u062a\u0631\u0648\u0646\u064a', 'contactFormMessageMsg': '\u0631\u0633\u0627\u0644\u0629', 'contactFormSendMsg': '\u0625\u0631\u0633\u0627\u0644', 'contactFormToken': 'AOuZoY7BwYoWt_81YpFGLXO9RFY5NUZmIQ:1765598054290', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_TextListView', new _WidgetInfo('TextList010', 'svg-custome-icons', document.getElementById('TextList010'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch1', 'customeAnalytics', document.getElementById('BlogSearch1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML300', 'shreeta5bar', document.getElementById('HTML300'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/2738457072-lbx__ar.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/828616780-lightbox_bundle_rtl.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList005', 'PostA3lan', document.getElementById('LinkList005'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ImageView', new _WidgetInfo('Image1', 'sidepar', document.getElementById('Image1'), {'resize': true}, 'displayModeFull')); _WidgetManager._RegisterWidget('_TranslateView', new _WidgetInfo('Translate1', 'sidepar', document.getElementById('Translate1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch3', 'sidepar', document.getElementById('BlogSearch3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_StatsView', new _WidgetInfo('Stats1', 'sidepar', document.getElementById('Stats1'), {'title': '\u0625\u062c\u0645\u0627\u0644\u064a \u0645\u0631\u0627\u062a \u0645\u0634\u0627\u0647\u062f\u0629 \u0627\u0644\u0635\u0641\u062d\u0629', 'showGraphicalCounter': true, 'showAnimatedCounter': false, 'showSparkline': true, 'statsUrl': '//pythagorasngm.blogspot.com/b/stats?style\x3dBLACK_TRANSPARENT\x26timeRange\x3dALL_TIME\x26token\x3dAPq4FmChRcHKVms3X44qgy7CSAq9UoeFcGrk5-9DWMUfKXV5Lh7ILooAoUdXzuN2tdYap9z6fv6PU34_myyTV6YEdFKu65tb7g'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_FollowersView', new _WidgetInfo('Followers1', 'sidepar', document.getElementById('Followers1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PopularPostsView', new _WidgetInfo('PopularPosts1', 'sidepar', document.getElementById('PopularPosts1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML26', 'BotPostsc', document.getElementById('HTML26'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML25', 'BotPostsc', document.getElementById('HTML25'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML24', 'BotPostsc', document.getElementById('HTML24'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML23', 'BotPostsc', document.getElementById('HTML23'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML22', 'BotPostsc', document.getElementById('HTML22'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML21', 'BotPostsc', document.getElementById('HTML21'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML20', 'BotPostsc', document.getElementById('HTML20'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML18', 'BotPostsc', document.getElementById('HTML18'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML6', 'BotPostsc', document.getElementById('HTML6'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML11', 'BotPostsc', document.getElementById('HTML11'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML10', 'BotPostsc', document.getElementById('HTML10'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML12', 'BotPostsc', document.getElementById('HTML12'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML7', 'BotPostsc', document.getElementById('HTML7'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML13', 'BotPostsc', document.getElementById('HTML13'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML14', 'BotPostsc', document.getElementById('HTML14'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML16', 'BotPostsc', document.getElementById('HTML16'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML17', 'BotPostsc', document.getElementById('HTML17'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML9', 'BotPostsc', document.getElementById('HTML9'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML8', 'BotPostsc', document.getElementById('HTML8'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML15', 'BotPostsc', document.getElementById('HTML15'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label3', 'footer-col1', document.getElementById('Label3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label2', 'footer-col2', document.getElementById('Label2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'footer-col3', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label4', 'footer-col4', document.getElementById('Label4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList2', 'footer-social', document.getElementById('LinkList2'), {}, 'displayModeFull'));

أقسام الوصول السريع ( مربع البحث )

شجرة فيثاغورث a^2 + b^2 = c^2

شجرة فيثاغورث

مراحل النمو

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