jorghes
LostCousins Superstar
Whilst I agree that Thrulines have been very successful, DNA circles would connect DNA results from cousins who did not match to you directly, but did match to someone else in the circle. Therefore the totals in DNA matches for any one common ancestor were higher than in Thrulines. This would allow a broader 'net' of descendants.
ThruLines does that with the "Potential Ancestors" that it creates for gaps that are in your set of ancestors, it is particularly interesting when you have a possible DNA link through one of these "Potential Ancestors".