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definition of "ultraparallel" nor is there a wikilink to a separate definition page. So it's a little difficult to see what the theorem is actually saying...

{\displaystyle A} . This fact can be used to give an easy proof of the ultraparallel theorem. I am trying to rewrite this to a bit simpler text: - more about...

intersecting, or parallel, or ultraparallel. Two lines which are both perpendicular to a third line are ultraparallel, not parallel. See e.g. http://s13a...

lines sharing an ideal point. When I saw the word I took it to mean ultraparallel, i.e. diverging in both directions, and indeed that is how Mathworld...

"rotation" around the ideal point to which the lines tend. If the lines are ultraparallel, then construct a third line perpendicular to both of them. Then U will...