BROWNE. 199 



XXIX. of the Philosopliical Transactions, which is the volume for 

 Vjl^, 1715, 1716 the memoirs occupy pages 133 — 158. They are 

 entitled Solutio Generalis Prohlematis XV. 2)ro2:)ositi a D. de Moivre, 

 in tractatii de Mensura Sortie... Solutio generalis altera prcece- 

 dentis Prohlematis, ope Comhinationum et Serierum infinitarum.... 



These memoirs relate to the problem which we have called 

 Waldegraves ; see Art. 211. 



The first memoir is by Nicolas Bernoulli ; it gives substantially 

 the same solution as he sent to Montmort, and which was printed 

 in pages 381 — 387 of Montmort's work. 



The second memoir is by De Moivre ; it gives the solution 

 which was reproduced in the Doctrine of Chances. 



349. We have next to notice a work which appeared under 

 the following title ; 



Christiani Hugeuii Libellus de Ratiociniis in Liido Alese. Or, the 

 value of all chances in games of fortune; cards, dice, wagers, lotteries, &c, 

 mathematically demonstrated. London : Printed by S. Keimer, for 

 T. Woodward, near the Inner Temple-Gate in Fleet-street. 1714. 



This is a translation of Huygens's treatise, by W. Browne. It 

 is in small octavo size ; it contains a Dedication to Dr Eichard 

 Mead, an Advertisement to the Header, and then 24 pages, which 

 comprise the translation. The dedication commences thus : 



Honour'd Sir, When I consider the Subject of the following Papers, 

 I can no more forbear dedicating them to Your Name, than I can 

 refuse giving my assent to any one Proposition in these Sciences, which 

 I have already seen clearly demonstrated. The Reason is plain, for as 

 You have contributed the greatest Lustre and Glory to a very consider- 

 able part of the Mathematicks, by introducing them into their noblest 

 Province, the Theory of Physick ; the Publisher of any Truths of that 

 Nature, who is desirous of seeing them come to their utmost Perfection, 

 must of course beg Your Patronage and Application of them. By so 

 prudent a Course as this, he may perhaps see those Propositions which 

 ib was his utmost Ambition to make capable only of directing Men in 

 the Management of their Purses, and instructing them to what Chances 

 and Hazards they might safely commit their Money ; turn'd some time 

 or other to a much more glorious End, and made instrumental likewise 

 towards the securing their Bodies from the Tricks of that too successful 



