  We discuss a class of event shapes for e+e- dijet events that include the
thrust as a special case. Large logarithmic corrections to the corresponding
cross sections can be resummed to all logarithmic orders at leading power.
However, irrespective of the order up to which the perturbative expansion is
calculated, it has to be supplemented by nonperturbative corrections due to its
at best asymptotic nature. We find that the leading power corrections are
universal for the class of event shapes discussed here. Based on these
findings, we provide sample numerical predictions for the distributions of the
new event shapes.
