• humblebun
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    2 months ago

    One point on the line

    Take 2 points on normal on the opposite sides

    Try to connect it

    Wow you can’t

    • erin (she/her)@lemmy.blahaj.zone
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      2 months ago

      This isn’t a rigorous mathematic proof that would prove that it holds true in every case. You aren’t wrong, but this is a colloquial definition of proof, not a mathematical proof.

      • humblebun
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        2 months ago

        Sorry, I’ve spent too much of my earthly time on reading and writing formal proofs. I’m not gonna write it now, but I will insist that it’s easy

    • Log in | Sign up@lemmy.world
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      2 months ago

      Only works for a smooth curve with a neighbourhood around it. I think you need the transverse regular theorem or something.