File:خط-متماس-اهليج-في-نقطة-منه.jpg

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العربية: خط متماس لقطع ناقص عند إحدى نقاطه

معلوم قطع ناقص ديلتا ونقطة P تنتمي إليه. مطلوب تحديد الخط p المتماس لدلتا في النقطة P. وبعبارة أخرى ، مطلوب تحديد الخط القطبي p لـلنقطة القطبية P بالنسبة لدلتا.

الاجراء

  1. يتم تمرير بالنقطة P أي خط مستقيم b (أو c)
  2. يتم تحديد القطب B ل b بالنسبة لدلتا
  3. يتم توصيل النقطتان P و B للحصول على الخط المطلوب p

استنتاج: إن النقاط القطبية لحزمة الخطوط التي تمر بالنقطة P، تنتمي للخط القطبي p.

A tangent line to an ellipse at one of its points

given an ellipse delta and a point P belonging to it, we want to determine the tangent line p to delta at the point P. In other words we want to determine the polar p of P with respect to delta.

Method - any straight line b (or c) secant delta is passed - the pole B of b with respect to delta is determined - the points P and B are joined and we have a straight line p

conclusion: the bundle of straight lines passing through P has as its poles the points belonging to the polar p of P with respect to delta

If the polar c of C passes through P then the polar p of P passes through C Se la polare c di C passa per P allora la polare p di P passa per C. per cui i poli (come C) di un fascio di rette (come c) passante per un punto P appartengono alla polare di P rispetto ad una conica


Dr. Hasan ISAWI

https://www.researchgate.net/project/Geometric-Loci
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Source Own work
Author Hasanisawi

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current18:07, 9 January 2023Thumbnail for version as of 18:07, 9 January 2023875 × 890 (45 KB)Hasanisawi (talk | contribs)Uploaded while editing "قطع ناقص" on ar.wikipedia.org

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