maybe Jay could give us his feedback on this... he really is a dark horse and knows much more than he lets on... 
All I know is from personal experience. Whenever I have taken a holiday from the gym, I always return to working out by using Nautilus exclusively.
The fact that one's range of motion is very controlled or strict reduces the chance of injuries. Because the ROM is so complete when used as recommended, a Nautilus workout can be brutal in terms of muscle soreness.
I particularly feel this in my pecs. I always begin my chest workout using the Nautilus Pec deck (or whatever it is called). It is an incline pec fly machine. Next I do lateral raises on the Nautilus. I then do incline presses, alternating a close parallel grip and the wide grip every other work out. Then I do shoulder presses and wind up doing pullovers on the Nautilus chest and back machine. There is no Nautilus equipment for decline presses at my gym. If there was, I might add them, although where I really need the chest development is in the upper pecs. Gravity has helped out the lower pecs. LOL.
Working legs, which is always were I begin this routine, I start out on the Nautilus leg extension then I do a set of seated leg curls, next I do calves and leg presses together because I use the same machine. Lastly, I finish up with lying leg curls....which are the hardest for me of all the leg exercises.
So the order of the muscles worked when doing my complete Nautilus routine is legs, chest, delts, back, abs, and arms....pretty much large muscles first working down to the smaller ones. I always do cardio prior to working out because I have found I am more apt to skip it if I leave it for the end.
After a few weeks or months on the Nautilus, I start added in some free weight or cable exercises. Fortunately, my gym has an abundance of different types of equipment to use. It is hard to ever get bored with working out there....once I get there.