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  1. Pascal's theorem - Wikipedia

    Pascal's theorem is the polar reciprocal and projective dual of Brianchon's theorem. It was formulated by Blaise Pascal in a note written in 1639 when he was 16 years old and published …

  2. Pascal's Theorem - from Wolfram MathWorld

    Dec 3, 2025 · It states that, given a (not necessarily regular, or even convex) hexagon inscribed in a conic section, the three pairs of the continuations of opposite sides meet on a straight line, …

  3. Pascal's Theorem | Brilliant Math & Science Wiki

    Pascal's Theorem The intersection of chords formed by six points are collinear. Pascal's theorem is a very useful theorem in Olympiad geometry to prove the collinearity of three intersections …

  4. Pascal's Theorem - AoPS Wiki - Art of Problem Solving

    Pascal's Theorem is a result in projective geometry. It states that if a hexagon is inscribed in a conic section, then the points of intersection of the pairs of its opposite sides are collinear:

  5. Pascal's Theorem - University of California, Berkeley

    Pascal's favorite mathematical topic to study, geometry, led to the formulation of Pascal's theorem. This states that pairs of opposite sides of a hexagon inscribed in any conic section …

  6. Pascal's Theorem - Alexander Bogomolny

    Pascal's theorem is a direct generalization of that of Pappus. Its dual is a well known Brianchon's theorem. The theorem states that if a hexagon is inscribed in a conic, then the three points at …

  7. Pascal's Theorem - ProofWiki

    Dec 22, 2024 · This article incorporates material from proof of Pascal's mystic hexagram on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.