Quote Originally Posted by Elite Lord Sigma View Post
For any one segment of the line with n segments, the portion that does not correspond to the same numbered segment in the line with n+1 segments is represented by the equation 1/n - 1/(n+1).
That's only true for the first line segment. For instance, the very last portion of the n line segment, which is of course labeled n, does not correspond to the n+1 line segment for almost the entirety of its length! In fact, there the portion that does correspond is represented by that same 1/n - 1/(n+1).