By Todhunter, I. (Isaac)
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Extra info for A History of the mathematical theory of probability from the time of Pascal to that of Laplace
LatinA operis sui Oxon. anno 1693. impressa, pagin. 494. eundem ad 3096 profert. ArB OO'fljectfl/lKli, page 78. James Bernoulli seems to imply that the two editions of Wallis's Algebra. differ in their enumeration of the arrangements of the line due to Bauhusius; but this is not the case: the two editions agree in investigation and in result. James Bernoulli proceeds to say that he had found that there could be 3312 arrangements without breaking the law of metre; this excludes spondaic lines but includes those which have no cresura.
The title page is as follows: Of the laws of chance, or, a method of calculation of the hazards of game, plainly demonstrated, and applied to games at present most in use; which may be easily extended to the most intricate cases of chance imaginable. Tohn Ham. By whom is added, a demonstration of the gain of the banker in any circumstance of the game call'd Pharaon; and how to determine the odds at the Ace of Hearts or Fair Chance; with the arithmetical solution of some questions relating to lotteries; and a.
Muel. muel, que j'm ciM dans ma These•.. logismes, je ne Ie compte pour rien. Montmort, p. 387. • , which will be noticed in a subsequent Chapter. Acta Entil. 8uppl. Art. 59. 73. Nicolas Bemoulli has exaggerated the Jesuit's blunders. Caramuel touches on the following points, and correctly: the chances of the throws with two dice; simple cases of the Problem of Points for two players; the chance of throwing an ace once at least in two throws, or in three throws; the game of PaBSe-diD:. He goes wrong in trying the Problem of Points for three players, which he does for two simple cases; and also in two other prob~ems, one of which is the fourteenth of Huygens's treatise, and the other is of e:mct1y the same kind.
A History of the mathematical theory of probability from the time of Pascal to that of Laplace by Todhunter, I. (Isaac)