DE MOIVKE. 187 



In the Advertisement to the second edition of the Doctrine of 

 Chances, page xiii, De Moiwe says, 



There is in the World a Gentleman of an older Date, who in the year 

 1726 did assure the Public that he could calculate the Values of Lives if 

 he would, but that he would not, . . . 



De Moivre proceeds to make some sarcastic remarks ; a manu- 

 script note in my copy says that the person here meant was 

 "John Smart of Guildhall, who in that year published Tables 

 of Interest, Discount, Annuities, &c. 4to." 



327. "We have now to notice De Moivre's work entitled Mis- 

 cellanea Analytica de Seriehus et Quadratmns...Ijondoii, 1730. 



This is a quarto volume containing 250 pages, a page of Errata, 

 a Supplement of 22 pages, and two additional pages of Errata; 

 besides the title page, dedication, preface, index, and list of sub- 

 scribers to the work. 



We have already had occasion to refer to the Miscellanea 

 Analytica as supplying matter bearing on our subject; we now 

 however proceed to examine a section of the work which is entirely 

 devoted to controversy between Montmort and De Moivre. This 

 section is entitled Responsio ad quasdam Criminationes ; it occu- 

 pies pages 146 — 229, and is divided into seven Chaj)ters. 



328. In the first Chapter the design of the section is ex- 

 plained. De Moivre relates the history of the ]3^iblication of 

 Montmort's first edition, of the memoir De Mensura Sor^tis, and 

 of Montmort's second edition. De Moi\Te sent a copy of the De 

 Mensura Sortis to Montmort, who gave his opinion of the memoir 

 in a letter to Nicolas Bernoulli, which was published in the second 

 edition of Montmort's book; see Art. 221. De Moivre states briefly 

 the animadversions of Montmort, distributing them under nine 

 heads. 



The publication of Montmort's second edition however does 

 not seem to have produced any quarrel between him and De 

 Moivre; the latter returned his thanks for the present of a copy 

 of the work, and after this a frequent interchange of letters 

 took place between the two mathematicians. In 1715 Montmort 

 visited England, and was introduced to Newton and other dis- 



