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A 16 Year Old Discovered This AMAZING Geometry Hidden Pattern. Pascal's Theorem

Pascal discovered this amazing geometry result when he was only 16. The book "The Art of the Infinite" by Robert Kaplan and Ellen Kaplan has a wonderful introduction to projective geometry and a proof this this theorem.

Proof of Pascal's Theorem for the Circle (which also proves any conic section under projective geometry)
http://mathgardenblog.blogspot.com/2013/08/hexagrammum-mysticum2.html

Proof of Pappus Theorem
http://mathgardenblog.blogspot.com/2013/08/hexagrammum-mysticum3.html

Algebraic proof
http://www.ias.ac.in/mathsci/vol120/nov2010/pm-10-00024.PDF

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25 июня 2014 г. 19:56:30
00:05:38
Яндекс.Метрика