This is all well and good, but there are a couple of problems with the concept.
1. Eliptical is so vague as to be virtually meaningless!
After all a circle is an elipse that just happens to have its two focii at the same point!
A straight stick when strung and drawn will look eliptical (with stiff tips)... but the long axis of the elipse will be in the direction of the string rather than along that of the bow!
2. Any bow with a stiff non bending grip section will tend to look eliptical. E.G If you take an arc of circle tillered ELB and stick 8" of stiff riser in the centre, it will fit an elipse better than a circle.
3. How much of the ellipse do you take? If you take a complete half an elipse, that would be whip tillered! You may notice, I usually say 'arc of a circle' tillered rather than 'circular' as the bow doesn't form a circle nor even a semi circle. It can get fairly close to a semi circle, but would probably be stacking badly by then.
4. I think if you try too hard for 'eliptical' it's easy to over do it and end up with the outers working too hard, or whip tillered. I actually go for a very fat elipse or slightly flattened circle when drawing curves onto pics of my bows.
I think it's a useful term to describe what Mike has explained, but it shouldn't be taken too literally.
After all, eliptical with stiff tips and a stiff centre section isn't a section on an ellispe any more!
Del