(June 13, 2016 at 2:46 am)surreptitious57 Wrote:(June 11, 2016 at 1:21 pm)SteveII Wrote: Parallel lines do not intersect
Nihilist Virus already invalidated this statement of yours but instead of accepting it you repeated it which makes it just as wrong as the first time when
you said it. So once again : parallel lines do not intersect in one dimensional or two dimensional Euclidean space but do in three or higher dimensional
non Euclidean space. Now if you draw a line on a flat sheet of paper it will be straight but if you bend the paper the line will be curved. So that is why
curved lines will at some point intersect with each other because equidistance is only possible in one or two dimensions. Curvature distorts shapes too
For example a triangle in two dimensional space is a hundred and eighty degrees but in three dimensional space is two hundred and seventy degrees
So, then your point is that in non-Euclidean geometry there are no parallel lines, because parallel lines do not intersect. I fail to understand at all how this makes a point about anything.