(June 14, 2016 at 10:01 am)SteveII Wrote:(June 13, 2016 at 2:46 am)surreptitious57 Wrote: 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
Two straight parallel lines in one or two dimensional space become curved lines in three or more dimensional space. At some point along their trajectory they shall intersect. And so this
disproves your claim that parallel lines do not intersect because this is only partially true not absolutely true. A geodesic is the generalisation of a straight line in three dimensional space
A MIND IS LIKE A PARACHUTE : IT DOES NOT WORK UNLESS IT IS OPEN