File:Iperb-assi-fuochi.jpg

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Geometric constructions to define axes, foci, and Asymptote of a known hyperbola

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Description
العربية: ===انشاءات هندسية لتحديد محاور وبؤر وخطوط تقارب قطع زائد معلوم==

يُعرَّف القطع الزائد كمحل هندسي للنقاط التي يكون فرق ابعادها عن البؤر ثابت.

  1. نحدد المركز C كتقاطع بين الخطوط التي تمر بنقاط منتصف زوجين من الأوتار المتوازية
  2. نرسم من C محوري القطع الزائد Λ بحيث يكونان متعامدين على بعضهما البعض
  3. نحدد الرؤوس V'و V" كتقاطع بين المحور العرضي والقطع الزائد Λ
  4. نحدد البؤر F', F" كتقاطع بين الدائرة Θ والمحور العرضي. يتم تحديد الدائرة Θ عن طريق 3 نقاط: نختار واحدة منها على Λ , ونحدد نقطتين منها كتقاطع بين المحور غير العرضي وبين خطين يمران بالنقطة A. واحد من الخطين متماس Λ في النقطة A ، والاخر عمودي على المتماس.
  5. لتحديد الخطوط المتقاربة نرسم دائرة Β نصف قطرها يساوي F'_C (أو F"_C). نرسم خطين متماسين Λ في الرؤوس V'و V". ومن نقاط تقاطعهما مع الدائرة Β نرسم الخطين المتقاربين. اللذين يمران ايضا بالنقطة C.
Date
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Author Hasanisawi

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