Originally Posted by SLATZ
Cross posted again. Cleanly scribed, not brushed.
Think of it this way. Using the diagram here, as the skis come around and under you the red leg gets shorter but the horizontal element is the same. At transition the red leg is shortened and tipped. As the new turn develops and the angles increase the diagram flips over and the blue leg is the long one. The tracks would then converge to the transition, where they are as wide as the horizontal element, then diverge to the apex where they are as wide as the ski separation.
The dark red in the image represents what would happen if you kept the ski roughly parallel with the outside ski - simply place a 'ski' at points along the red line that correspond to tangent lines from the blue line (outside ski).
Also, check out the picture below from Ron LeMaster. In this sequence you can see in several areas where Benny has his skis pointed toward each other or away from each other (frames 1, 6, and 7, and a little bit in frame 4 and 9, although 4 and 9 are at the apex so do not apply as heavily to the discussion). Look at the different positions between frames 6 and 7.
This image of Ligety shows a similar story.