• affiliate@lemmy.world
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        11 months ago

        as far as the rationals are concerned, this is the same as the number whose square is 2. (ℚ(i) and ℚ(√2) are isomorphic as fields.)

        what we can gleam from this is that complete rationality can blur the line between what’s real and what’s imaginary

  • starman2112@sh.itjust.works
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    11 months ago

    But Pythagoras hated triangles with irrational hypotenuses. A triangle with leg lengths of 3 and 4 units? Beautiful. A triangle with two 1 unit legs? Die

  • elegantgoat1@lemmy.world
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    1 year ago

    And not a right triangle in sight. I forget, did Pythagoras develop Pythagorean theorem or the law of sines?

    • EatYouWell@lemmy.world
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      1 year ago

      Well, he popularized it, but the Pythagoran theorem was something ancient civilizations had already figured out.

      • bdkmshr@monyet.cc
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        1 year ago

        Documenter that documented their document gets the document credited to documenter

        • EatYouWell@lemmy.world
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          11 months ago

          It’s really just whose discovery spread the fastest. There have been a few instances in history where parallel discoveries happened, but it got named after the guy who got it popularized fastest.

          Plus, the records of the civilization that discovered it were lost for a few millenia. But it’s not the first thing that’s been rediscovered a few times.

    • smeg@feddit.uk
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      11 months ago

      That’s not a prism, it’s a tetrahedron, the most triangular of the solids!