A big thumbs up to Janis (Little Tiger) for the great drawing.
To have a look at the entry, go to this link and see "Carve Zone". http://www.yourskicoach.com/YourSkiCoach/C.html
Great recource your glossorary Rick. Thats something I have been wanting to do for quite some time myself. The videos really make all the difference. I have some comments regarding the clips but nothing major. I think that you should limit the cross over/through/under to only over/under. I dont see the need for "under" in your glossorary. Anyway, that is a bit off topic but since you asked....
Jamt, check out PhysicsMan side cut calculator and the discussion that goes with it:
How tight the ski turns is really a blend of many different components but you are right, the ski usually turns tighter than the geometrical sidecut since the ski always bends. I dont think anybody ever measured how wide the turn radius acutally is. On my racing skis I have the Marker Piston Plate and it helps the ski to bend and makes the turn radius smaller without sacrifying edge hold. I can carve both wide and tight arcs with my skis but I cannot ski a GS course. There the limitations step in. For an overall great carving ski on gromers I reccomend a normal SL type ski. Preferable a true or close to real racing ski. Stay away from cap skis.
IMO the two most important limitations of carving is that you cannot vary the turn radius by much and there is very limited speed controll. If you ask me you cannot ski safely and with much enjoyment if you do not posess any kind of steering skills. With steering I mean turning where the skis are not locked onto their edges and carving. There are pople that think they can but the fact is that these people are actually steering all the time and not carving at all. Check out my threads 5y back on people that think they carve but they dont .
Rick, are you suggesting that you cannot change turn radius unless you do some steering? I ask because one can easily carve a fairly clean line with the shovel of the ski while letting the tail drift out of the carve. That tightens the turn (as would more tipping), but there is really no traditional steering involved.