Red,
Give it time, and more experience, and it gets easier to understand. Not, perhaps, that you don't already...
A bow with symetrical limbs is one which has equal length limbs from the beginning. In other words, when you're laying out the bow's profile, both limbs are equal length from the start, and either limb could be top or bottom. As you tiller the bow, you can let the wood pick which limb will be which. When you tiller this type of bow, you place it on the tiller tree at the bow's geographic center. If you want positive tiller on the top limb, make it bend a bit more, and check tiller at brace as described earlier.
A bow with asymetric limbs begins with the bottom limb shorter than the top right from the start. Or, the top and bottom limbs are chosen from the start, and you have to tiller accordingly. The center of this type of bow is now at the arrow rest, and balances well in the hand.
I hope this helps!