The Line In Its Natural Habitat(s)

   The line is defined, by Euclid, as "that which lies evenly with the points on itself." This is utterly useless as a definition, as it seems complete nonsense unless one already knows what a line is.
   One common alternative way of describing a line is as the shortest distance between two points, or a geodensic. Now, as explained earlier, the shortest distance between two points on a sphere is along a great circle. While lines on flat planes appear straight, on elliptic and hyperbolic planes they are curves. It follows that while parallel lines on flat planes will remain the same distance from each other for their entirety, on curved planes they will curve towards or away from each other.

More Conundrums

The riddle from the last "conundrums" post: a man comes out of his house and walks one league south, then one league east, then one league north, then finds himself back at his front door.
Aaaand, the explanation...

Risk: Takes 2 and 3

Take 2:
     As our Risk board was cleared off since we last played and we didn't take any pictures of it, we had to start over. Jasmine was absent, so I played for her, managing to get the entirety of South America and Africa for her (then having her squander it by putting all her little soldierpeople in Madagascar, but never mind about that). However, we didn't save the board again, so on to take 3.