58 JAMES BERNOULLI. 



James Bernoulli wliicli appeared in the Journal des Bgavans 

 for 1706: this notice is attributed to Saurin by Montmort; see his 

 page IV. 



References to the work of James Bernoulli frequently occur in 

 the correspondence between Leibnitz and John Bernoulli ; see the 

 work cited in Art. 59, pages 367, 377, 836, 8i5, 847, 922, 923, 

 925, 931. 



96. The A^^s Conjectandi was published in 1713. A preface 

 of two pages was supplied by Nicolas Bernoulli, the son of a 

 brother of James and John. It appears from the preface that 

 the fourth part of the work was left unfinished by its author ; the 

 publishers had desired that the work should be finished by John 

 Bernoulli, but the numerous engagements of this mathematician 

 had been an obstacle. It was then proposed to devolve the task 

 on Nicolas Bernoulli, who had already turned his attention to 

 the Theory of Probability. But Nicolas Bernoulli did not con- 

 sider himself adequate to the task; and by his advice the work 

 was finally published in the state in which its author had left it; 

 the words of Nicolas Bernoulli are, Suasor itaque fui, ut Tractatus 

 iste qui maxima ex parte jam impressus erat, in eodem quo eum 

 Auctor reliquit statu cum publico communicaretur. 



The Ars Conjectandi is not contained in the collected edition 

 of James Bernoulli's works. 



97. TYvqAvs Conjectandi, including a treatise on infinite series, 

 consists of 306 small quarto pages besides the title leaf and the 

 preface. At the end there is a dissertation in French, entitled 

 Lettre d un Amy, sur les Parties du Jeu de Paume which occu- 

 pies 35 additional pages. Montucla speaks of this letter as the 

 work of an anonymous author ; see his page 391 : but there can 

 be no doubt that it is due to James Bernoulli, for to him Nicolas 

 Bernoulli assigns it in the preface to the J.rs Conjectandi, and 

 in his correspondence with Montmort. See Montmort, page 333. 



98. The Ars Conjectandi is divided into four parts. The 

 first part consists of a reprint of the treatise of Huygens De Ra- 

 tiociniis in Ludo Alece, accompanied with a commentary by James 

 Bernoulli. The second part is devoted to the theory of permu- 

 tations and combinations. The third part consists of the solution 



