74 REV. T. P. KIRKMAN ON X-ACE AND X-GON, ETC. 
solution of the problem of this paper in a form less 
calculated for obtaining easily the algebraic expression of 
P(2Qex+m-+l,2); and in the same Transactions for 1857, 
in a memoir “On the partitions of the polygon and the 
polyace,” I have given formulz for all these partitions, 
whether triangular or not. The method of this paper is 
unquestionably the best adapted for the deduction of the 
general expression of these partitions, and is capable of 
being extended to them all. 
