Finite-size scaling on the Ising coexistence line

We report tests of finite-size scaling ansatzes in the low temperature phase of the two-dimensional Ising model. For moments of the magnetisation density, we find good agreement with the new ansatz of Borgs and Koteck\'y, and clear evi consequences of the convexity of the free energy are not adequately treated in either of these approaches.\lb {\it Keywords}\/: Finite-size scaling, 2-d Ising, pure-phase susceptibility.