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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    1. Fermat's Library‏ @fermatslibrary 15 Apr 2019
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      A simple proof that √2 is irrational AUTHOR: Stanley Tennenbaum #QUARK

      7 replies 154 retweets 563 likes
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    2. Fermat's Library‏ @fermatslibrary 15 Apr 2019
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      Assuming √2 is rational, √2=a/b where a and b are integers and the fraction is in the lowest terms. Then a²=2b², so there are 2 squares with integer sides such thatpic.twitter.com/pnVJis2Cqp

      3 replies 63 retweets 332 likes
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      Fermat's Library‏ @fermatslibrary 15 Apr 2019
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      Placing the 2 smaller squares on the larger one, we see that the sum of the areas of the corner squares must equal the area of the black central one. We reached a contradiction since we assumed a and b are the smallest integers such that a²=2b²!pic.twitter.com/2xMt3MN2zL

      7:24 AM - 15 Apr 2019
      • 72 Retweets
      • 490 Likes
      • Friedchicken Egemen Frank Gopal Iyer Pushpak Jagtap Murat YILDIZ Yağmur but yağan değil🤸🏼‍♀️🇹🇷 vanamadimahalakshmi Abad's Mathematical world
      9 replies 72 retweets 490 likes
        1. New conversation
        2. Tariq  ☕‏ @rzeta0 15 Apr 2019
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          Replying to @fermatslibrary

          Don't get it.

          3 replies 0 retweets 0 likes
        3. Rob Bricheno‏ @rwhb2 15 Apr 2019
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          Replying to @rzeta0 @fermatslibrary

          This is helpfulhttps://thatsmaths.com/2018/05/24/a-glowing-geometric-proof-that-root-2-is-irrational/ …

          1 reply 0 retweets 2 likes
        4. 1 more reply
        1. Roger Sauer‏ @rsauer3473 15 Apr 2019
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          Replying to @fermatslibrary

          This fact was proven in 1748 when Charles Eddington planned to finish his expansive swimming pool in Kent with square pieces of glazed tile shipped at great expense from Aleppo. When the final piece was placed, he shouted, “I should have learned math!”

          0 replies 0 retweets 2 likes
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        1. Andrew Lilico‏ @andrew_lilico 15 Apr 2019
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          Replying to @fermatslibrary

          Love it.

          0 replies 0 retweets 1 like
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        1. Luuk van Egeraat‏ @LukeFromEggy 15 Apr 2019
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          Replying to @fermatslibrary

          Awesome

          0 replies 0 retweets 1 like
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        1. A tersely phrased statement of a truth or opinion‏ @siddhaatHome 15 Apr 2019
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          Replying to @fermatslibrary

          maths q e d are so soothing the king , my fav , proof by contradiction , made my evening thanks

          0 replies 0 retweets 1 like
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        1. New conversation
        2. Jason Almeter‏ @JLAlmeter 15 Apr 2019
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          Replying to @fermatslibrary

          Too big of a leap. I don’t see the contradiction.

          1 reply 0 retweets 1 like
        3. Jason Almeter‏ @JLAlmeter 15 Apr 2019
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          Replying to @JLAlmeter @fermatslibrary

          And... I see it now. Doh!

          0 replies 0 retweets 0 likes
        4. End of conversation
        1. Santi eLpeNYo  🎗  💛‏ @penyeta 16 Apr 2019
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          Replying to @fermatslibrary

          This is your (Fermat) infinite descent 😀

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        1. Abhishek Chaurasia‏ @AbhishekAnmator 28 Nov 2019
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          Replying to @fermatslibrary

          Is there any integer which can takes place at (a) and (b) to satisfy this equation?

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