Pascal in Ellipse

Pascal's theorem which B. Pascal has famously discovered at the age of 16 states that if a hexagon is inscribed in a conic, then the three points at which the pairs of opposite sides meet are collinear. Elsewhere there is an illustration of the Pascal's theorem on a circle, a proof based on Chasles' theorem and a direct proof in homogeneous coordinates. Being projective in nature, Pascal's theorem is valid for other conic sections, like hyperbolas and parabolas. The universality of the diagram led to the introduction of the term Pascal's Mystic Hexagram that stuck around.

 

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Conic Sections > Ellipse

Pascal and Brianchon Theorems

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