350 FUSS. 



The Supplement... occupies pages 91 — 96 of the Pars Posterior 

 of the volume for 1780 of the Acta Acad. ... Petrop.; the date of 

 publication is 1784. 



The problem is that considered by James Bernoulli on page 161 

 of the Ars Conjectandi ; see Art. 117. 



In the Recherches . . . Fuss solves the problem ; he says he had 

 not seen James Bernoulli's own solution but obtained his know- 

 ledge of the problem from Mallet's memoir ; see Art. 628. Fuss 

 published his solution because his results differed from that 

 obtained by James Bernoulli as recorded by Mallet. In the Sup- 

 plement. . . Fuss says that he has since procured James Bernoulli's 

 work, and he finds that there are two cases in the problem ; his 

 former solution agreed with James Bernoulli's solution of one 

 of the cases, and he now adds a solution of the other case, which 

 agrees with James Bernoulli's solution for that case. 



Thus in fact Fuss would have spared his two papers if he 

 had consulted James Bernoulli's own work at the outset. We may 

 observe that Fuss uses the Lemma given by De Moivre on his 

 page 39, but Fuss does not refer to any previous writer for it ; 

 see Art. 149. 



