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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 28 Feb 2019
    • Report Tweet
    • Report NetzDG Violation

    Math can be simple and difficult almost at the same time. Bisecting an angle is trivial, yet trisecting it is impossible.pic.twitter.com/dBSfKfktts

    5:23 AM - 28 Feb 2019
    • 479 Retweets
    • 1,920 Likes
    • طارق nick Natasha Prabhav Avasthi Mustafa брух момент Rajendra  Patil Anna Prentice Rohan Pednekar
    38 replies 479 retweets 1,920 likes
      1. New conversation
      2.  🚀‏ @dkrasnitchi 28 Feb 2019
        • Report Tweet
        • Report NetzDG Violation
        Replying to @fermatslibrary

        True, you need a pen too.

        4 replies 2 retweets 79 likes
      3. B. K. R.‏ @bbbkkr 28 Feb 2019
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        Replying to @dkrasnitchi

        pic.twitter.com/TRU7k3fuV7

        0 replies 0 retweets 42 likes
      4. End of conversation
      1. New conversation
      2. ilykfelm‏ @ibrokemahboi 28 Feb 2019
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        Replying to @fermatslibrary

        Is this a conjecture or is there actually a proof for this?

        3 replies 0 retweets 12 likes
      3. 𝙼𝚊𝚛𝚌𝚎𝚕𝚘‏ @Magallonico 28 Feb 2019
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        Replying to @ibrokemahboi @fermatslibrary

        Wantzel proved it in the XIX century. Basically the problem is equivalent to finding the root of a cubic polynomial. For some cases, that's an irrational number, and constructible irrationals are roots of 2nd degree polynomials. There are cases where trisection is possible (90º).

        0 replies 5 retweets 39 likes
      4. End of conversation
      1. New conversation
      2. Luis Batalha  🇵🇹 🇺🇸‏ @luismbat 28 Feb 2019
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        Replying to @fermatslibrary

        It's crazy to think that the method for bisecting an angle with a ruler and compass was already on Euclid's Elements and then it took almost 2000 years for Pierre Wantzel to prove that the trisection was impossible (1837)!pic.twitter.com/YBJ8MrHGho

        2 replies 19 retweets 138 likes
      3. Nicolò Bellini‏ @BelliniNicolo 28 Feb 2019
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        Replying to @luismbat @fermatslibrary

        Yes like Pitagora's theorem and the Fermat's last theorem....

        0 replies 0 retweets 0 likes
      4. End of conversation
      1. New conversation
      2. Adam Kim‏ @atomadam2 28 Feb 2019
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        Replying to @fermatslibrary

        WAIT! This was legitimately an extra credit problem in high school, and I could never figure it out. Was the answer simply, cannot be done????

        3 replies 1 retweet 36 likes
      3. Eder‏ @UnPerrit0 28 Feb 2019
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        Replying to @atomadam2 @fermatslibrary

        Cannot be done dude :p

        0 replies 0 retweets 17 likes
      4. End of conversation
      1. DℝOℕ∈‏ @d_r_o_n_e 28 Feb 2019
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        Replying to @fermatslibrary

        Only 90° and 180° can be trisected using only compass and straightedge. In "What is Mathematics?" [Oxford University Press, 1996] R. Courant and H. Robbins showed that arbitrary angle can be trisected using a marked ruler.

        0 replies 2 retweets 26 likes
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      1. B1ff B1ff‏ @b1ffb1ff 28 Feb 2019
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        Compass and ruler.

        0 replies 0 retweets 26 likes
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