ANCILLON. 453 



these books inserted nearly all tlie inventions of the moderns with 

 which I was acquainted. 



In my prefaces I have given an history of the inventions of the dif- 

 ferent writers, and ascribed them to their respective authors ; and like- 

 wise some account of my own. To every one of these sciences I have 

 been able to make some additions, and in the whole, if I am not mis- 

 taken in enumerating them, somewhere between three and four hundred 

 new propositions of one kind or other, considerably more than have 

 been given by any English writer ; and in novelty and diiEculty not 

 inferior ; I wish I could subjoin in utility : many more might have 

 been added, but I never could hear of any reader in England out of 

 Cambridge, who took the pains to read and understand what I have 

 written. Page 115. 



Waring proceeds to console himself under this neglect in Eng- 

 land by the honour conferred on him by D'Alembert, Euler and 

 Le Grange. 



Dugald Stewart makes a remark relating to Waring; see his 

 Works edited hy Hamilton, Vol. IV, page 218. 



840. A memoir by Ancillon, entitled Doutes sur les bases du 

 calcul des probabiliUs, was pviblished in the volume for 1794 and 

 1795 of the Memoires de F Acad.... Berlin; the memoir occupies 

 pages 3 — 32 of the part of the volume which is devoted to specu- 

 lative philosophy. 



The memoir contains no mathematical investigations ; its ob- 

 ject is to throw doubts on the possibility of constructing a Theory 

 of Probability, and it is of very little value. The author seems to 

 have determined that no Theory of Probability coidd be con- 

 structed without giving any attention to the Theory which had 

 been constructed. He names Moses Mendelsohn and Garve as 

 having already examined the question of the admissibility of such 

 a Theory. 



841. There are three memoirs wTitten by Pre vest and Lhuilier 

 in conjunction and published in the volume for 1796 of the 

 Memoires de VAcad... .Berlin. The date of pubhcation is 1799. 



842. The first memoir is entitled Sur les Prohahilites ; it was 

 read Nov. 12, 1795. It occupies pages 117— 14^2 of the mathe- 

 matical portion of the volume. 



