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How To Come Up With Pythagoras' Equation
Learn how Pythagoras created his famous equation a^2+b^2=c^2. See the logic behind this fabulous invention.
Video by: Tiago Hands (https://www.instagram.com/tiago_hands/)
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Mathematics Proofs (Instagram): https://www.instagram.com/mathematics.proofs/
Scientific Quotes (Instagram): https://www.instagram.com/scientific.quotes/
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https://www.youtube.com/watch?v=cs4eB4fXHB0
Video by: Tiago Hands (https://www.instagram.com/tiago_hands/)
Instagram Resources:
Mathematics Proofs (Instagram): https://www.instagram.com/mathematics.proofs/
Scientific Quotes (Instagram): https://www.instagram.com/scientific.quotes/
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1. First get yourself some graphing paper.
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Scientific Quotes (Instagram): https://www.instagram.com/scientific.quotes/
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REAL
real-analysis-1-(1-3)+(1-9)-(1-27)+(1
This video contains a visual proof that demonstrates why 1-(1/3)+(1/9)-(1/27)+(1/81)-(1/243)-...=3/4. It can be found on page 406 of the book 'Real Analysis: A Long-Form Mathematics Textbook (2nd Edition)' by Professor Jay Cummings. As an added bonus, there is a short clip (23 iterations) where you can zoom into the final image of Jay's proof. The art was created by Tiago Hands.
You can purchase Jay's remarkable book on Amazon via: https://amzn.to/2Y5tLHR
To find out more about Real Analysis: A Long-Form Mathematics Textbook (2nd Edition), go to: https://longformmath.com/analysis-home
Jay's official Twitter account is: https://twitter.com/LongFormMath
For more mathematics proofs, visit: https://www.instagram.com/mathematics.proofs
You can follow Tiago on Twitter at: https://www.twitter.com/tiago_hands
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https://www.youtube.com/watch?v=AmnDAnPcXZM
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Thanks for watching this video and make sure you have subscribed if you want to see more videos like this!
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In this video I demonstrate how to quickly get the inverse Pythagorean theorem using what I call the 'sin²x+cos²x=1 method'.
This will get you to your destination much quicker than most proofs you find on Youtube.
If you'd like the workings shown in this clip, check out: https://twitter.com/tiago_hands/status/1660414269022715904
For extra maths content, visit: https://www.instagram.com/mathematics.proofs
You can follow me on social media via:
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https://www.instagram.com/tiago_hands
Thanks for watching! Make sure you are subscribed to my channel for more content like this! See you in my next video!!
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Scientific Quotes (Instagram): https://www.instagram.com/scientific.quotes/
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In this video I demonstrate how to show that sinθcosθ=(secθ-cosθ)(cosecθ-sinθ) geometrically.
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If you'd like more mathematics / geometry proofs, ensure you are subscribed to my channel!
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Thanks for watching!
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