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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Видео A 16 Year Old Discovered This AMAZING Geometry Hidden Pattern. Pascal's Theorem канала MindYourDecisions
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
If you like my videos, you can support me at Patreon:
https://www.patreon.com/mindyourdecisions
Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.
My Blog: https://mindyourdecisions.com/blog/
Twitter: https://twitter.com/preshtalwalkar
Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965
Google+: https://plus.google.com/108336608566588374147/posts
Pinterest: https://www.pinterest.com/preshtalwalkar/
Tumblr: https://preshtalwalkar.tumblr.com/
Instagram: https://instagram.com/preshtalwalkar/
Patreon: https://www.patreon.com/mindyourdecisions
Newsletter (sent only for big news, like a new book release): http://eepurl.com/KvS0r
If you buy from the links below I may receive a commission for sales. This has no effect on the price for you.
My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 31 reviews)
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews)
http://amzn.to/1o3FaAg
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews.
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews)
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews)
http://amzn.to/1NKbGlp
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews)
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews)
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews)
http://amzn.to/XRm7M4
Видео A 16 Year Old Discovered This AMAZING Geometry Hidden Pattern. Pascal's Theorem канала MindYourDecisions
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