18 year old students just discovered a proof of Pythagoras that mathematicians said was impossible
This is a truly remarkable story. A textbook said that it was impossible to prove the Pythagorean Theorem from trigonometry alone. Two US students questioned this claim and developed a new trigonometric proof. Congratulations to Ne'Kiya Jackson and Calcea Johnson for developing this wonderful proof. 0:00 Background 2:00 Outline 3:26 Preliminaries 5:58 Proof 14:20 More Proofs AMS meeting https://meetings.ams.org/math/spring2... WWLTV news • New Orleans teens make mathematical discov... The Guardian https://www.theguardian.com/us-news/2... @MathTrain • How High Schoolers Proved Pythagoras Using... Elisha Loomis The Pythagorean Proposition https://archive.org/details/in.ernet.... Slides https://i.imgur.com/NUPwN8k.jpeg Reddit / two_teens_make_impossible_mathematical_dis... Baudhayana Theorem https://www.cuemath.com/learn/baudhay... Gougu Theorem https://nzmaths.co.nz/resource/gougu-... Euclid I, 47 http://aleph0.clarku.edu/~djoyce/java... Babylonian formula https://mathshistory.st-andrews.ac.uk... Brahmagupta's law of sines https://en.wikipedia.org/wiki/Law_of_... Pythagoras https://en.wikipedia.org/wiki/Pythago... Trigonometric proof https://en.wikipedia.org/wiki/Pythago... Cut The Knot https://www.cut-the-knot.org/pythagor... Subscribe: https://www.youtube.com/user/MindYour... Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023. My Books (worldwide links) https://mindyourdecisions.com/blog/my... My Books (US links) Mind Your Decisions: Five Book Compilation https://amzn.to/2pbJ4wR A collection of 5 books: "The Joy of Game Theory" rated 4.3/5 stars on 290 reviews http://amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews http://amzn.to/1o3FaAg "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews http://amzn.to/1LOCI4U "The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews http://amzn.to/18maAdo "Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews http://amzn.to/XRm7M4 Mind Your Puzzles: Collection Of Volumes 1 To 3 https://amzn.to/2mMdrJr A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews http://amzn.to/1GhUUSH "Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews http://amzn.to/1NKbyCs "Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews http://amzn.to/1NKbGlp 2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter. My Blog https://mindyourdecisions.com/blog/ Twitter / preshtalwalkar Instagram / preshtalwalkar Merch https://teespring.com/stores/mind-you... Patreon / mindyourdecisions Press https://mindyourdecisions.com/blog/press

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