“Pascal’s theorem”的概念、定义、翻译、参考文献-科学参考

Pascal’s theorem

Mathematics

单词	Pascal’s theorem
释义	Pascal’s theorem Mathematics A theorem of projective geometry: given two triples of points A,B,C and A′,B′,C′ on a non-degenerate conic, the points of intersection $A B ″ \cap B A', B C ″ \cap C B', A C ″ \cap C A',$ are collinear. Pappus’ Hexagon Theorem can be seen as a version of Pascal’s theorem for degenerate conics. Pascal’s ‘mystic hexagram’ The dual of Pascal’s theorem is Brianchon’s theorem: if a hexagon with vertices P₁, P₂, P₃, P₄, P₅, P₆ circumscribes a non-degenerate conic, then the hexagon’s diagonals P₁P₄, P₂P₅, P₃P₆ are concurrent. See duality.
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