• humblebun
    link
    fedilink
    English
    arrow-up
    1
    arrow-down
    1
    ·
    1 month 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
      link
      fedilink
      English
      arrow-up
      6
      ·
      1 month 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
        link
        fedilink
        English
        arrow-up
        1
        ·
        1 month 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

    • davidagain@lemmy.world
      link
      fedilink
      English
      arrow-up
      1
      ·
      edit-2
      1 month ago

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