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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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    Fermat's Library‏ @fermatslibrary 12 May 2019
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    It's possible to generalize the Pythagorean theorem beyond the areas of squares as long as the area of the plane figure is proportional to the square of the length of any side. A/a²=B/b²=C/c²⇒A+B=Ca²/c²+Cb²/c²⇒A+B=C since a²+b²=c²pic.twitter.com/sKr0BQuz9E

    5:47 AM - 12 May 2019
    • 573 Retweets
    • 2,122 Likes
    • 𝔾𝕠𝕝𝕕𝕖𝕟 ℙ𝕠𝕖𝕪 Tubagus Dhafin Pavel V., MD PhD Hatice Duman JB Plantin Thomas D. Kühne Oğuzhan Emerson Oliveira 🇧🇷 CFC97
    21 replies 573 retweets 2,122 likes
      1. New conversation
      2. Vincent Pantal 🍩ni‏ @panlepan 12 May 2019
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        Replying to @fermatslibrary

        This generalization of the pythagorean theorem is always true as long as the figures on the sides are similar. Cc @gogeometry http://www.gogeometry.com/pythagoras/right_triangle_formulas_facts.htm …pic.twitter.com/OtX7687yYe

        1 reply 17 retweets 63 likes
      3. spider beetle bee‏ @Gaybriele_ 12 May 2019
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        Replying to @panlepan @fermatslibrary @gogeometry

        Do you know of any elementary proof for this generalization?

        1 reply 0 retweets 0 likes
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      1. Anders Sandberg‏ @anderssandberg 12 May 2019
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        Replying to @fermatslibrary

        This is true even for fractal figures. I wonder if there is a nice dissection proof without words showing how the two catheti Koch snowflake pieces can be assembled into the hypothenuse snowflake?pic.twitter.com/CfNgKU1ClK

        0 replies 2 retweets 20 likes
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      2. Marlon K‏ @mayhem_nc 12 May 2019
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        Replying to @fermatslibrary

        pic.twitter.com/iMEsfEXcub

        1 reply 2 retweets 7 likes
      3. Mathsnetty‏ @mathsnetty 12 May 2019
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        Replying to @mayhem_nc @fermatslibrary

        I need these in my life. Where can I get them?

        1 reply 0 retweets 0 likes
      4. 1 more reply
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      2. Kannan Marudachalam‏ @integralis26 12 May 2019
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        Replying to @em_just_em @fermatslibrary

        Semicircles with dia equal to length of sides.

        0 replies 0 retweets 7 likes
      3. End of conversation
      1. Manuel Nevado Murill‏ @mannevado 12 May 2019
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        Replying to @fermatslibrary

        Manuel Nevado Murill Retweeted Manuel Nevado Murill

        https://twitter.com/mannevado/status/1114924411860213760?s=19 …

        Manuel Nevado Murill added,

        Manuel Nevado Murill @mannevado
        Pentágonos pitagóricos, jugando con Geogebra #geogebra @geogebra pic.twitter.com/I0APAvSqzO
        0 replies 2 retweets 3 likes
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      2. Roger Sauer‏ @rsauer3473 12 May 2019
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        Replying to @fermatslibrary

        One must also take into account Trethabian’s Conjecture though this was discovered two millennia after Pythagoras. In his time it was called the Law of the Three Goat Herders and was often used to determine grazing rights in Attica.

        1 reply 0 retweets 3 likes
      3. PAIRADOCS ☤‏ @UnimedDoc 27 Jul 2019
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        Replying to @rsauer3473 @fermatslibrary

        Father Celiano or Dr. Rawn (aka-Yawn) still alive?

        0 replies 0 retweets 2 likes
      4. End of conversation

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