At several parts on this thesis the author mentions the "growing angle" of curves ("limiting growing angle", "limiting growing angle of two ends of a curve"). What does that really mean?

The author also mentions "limiting growing direction" in another very similar article, and I can't figure out what that means either. I'd appreciate any help on clarifying these therms and how the author computes these angles.
Update: Apparently this is called the polar tangential angle. I'll look further.
It was indeed the polar tangential angle.