مستو فائق

المستوي الفائق هو مبدأ في الهندسة الرياضية ويعتبر تعميم لأبعاد أعلى من مفهوم المستقيم في الهندسة الإقليدية المستوية والمستوي في الفضاء الثلاثي الأبعاد.[1][2]

أشهر أنواع المستويات الفائقة هي المستويات الأفينية الفائقة، والمستويات الخطية الفائقة، وأقل شهرة هو المستوي الإسقاطي الفائق.

أمثلة

  • في الفضاء الأحادي البعد (خط مستقيم)، يكون المستوي الفائق هو عبارة عن نقطة، تقسم المستقيم إلى شعاعين.
  • في الفضاء الثنائي البعد (مستوي)، يكون المستوي الفائق هو عبارة عن مستقيم يقسم المستوي إلى نصفي مستويين.
  • في الفضاء الثلاثي الأبعاد، يكون المستوي الفائق هو عبارة عن مستوي عادي يقسم الفضاء إيى نصفي فضائين.

ومن الممكن تعميم ذات التعاريف السابقة إلى فضاءات ذات أبعاد أعلى.

مراجع

  1. ^ "معلومات عن مستو فائق على موقع mathworld.wolfram.com". mathworld.wolfram.com. مؤرشف من الأصل في 2021-05-07.
  2. ^ "معلومات عن مستو فائق على موقع jstor.org". jstor.org. مؤرشف من الأصل في 2020-05-09.

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