• Lenins_Cat_Reincarnated@hexbear.net
    link
    fedilink
    English
    arrow-up
    4
    ·
    8 months ago

    You limit yourself by only thinking in euclidean geometry. Spherical geometry is a well defined mathematical concept and straight lines in this metric have the intuitive definition of being the shortest path between two points.

    • Slatlun
      link
      fedilink
      English
      arrow-up
      2
      ·
      edit-2
      8 months ago

      Yes, using lat, long, and radius is better than xyz on the earth - usually. But the radius, the 3rd dimension, changes by where you are because the earth isn’t actually a sphere. On this path it would get longer until you reached the equator, shorter until the most southerly point then longer again until you hit NZ. It is a wavy line not a straight one. Again you’re projecting 3d onto 2d (because you’re incorrectly assuming a fixed radius) and saying that that error in projection doesn’t matter.