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By Todhunter, I. (Isaac)

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Extra resources for A History of the mathematical theory of probability from the time of Pascal to that of Laplace

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33 metical Triangle, he adds, "Adjiciemus hic Theoremata. quorum TO Zor, ex ipsa. " The only theorem here that is of any importance is that which we should now express thus: if f/. be prime the number of combinations of f/. t a time is divisible by n. (4) A passage in which Leibnitz names his predecessors may be quoted. After saying that he had partly furnished the matter himself and partly obtained it from others, -he adds, Quia ilia primus detexerit ignoramus. Schwenterus DeUc. L 1, Sect. 1, prop.

Page CLXXXIV. 61. A 'II. A nnuitie8 upon Live8. This memoir is published in Vol. XVII. of the Philosophical Transactioos, 1693; it occupies pages 596-610. This memoir is justly celebrated as having laid the foundations of a correct theory of the value of life annuities. 62. Halley refers to the bills of mortality which had been published for London and Dublin; but these bills were not suitable for drawing accurate deductions. First, In that the NfIIIIIlNJr of the People was wanting. Secondly, That the Ag611 of the People dying was nol; to be had.

Pag. 133. numerum earum dimidio fere auctum ad 3276 extendit. InduBtrii Actorum Lips. Oollectores m. Jun. 1686, in recensione TractattisWallisiani de Algebra, numerum in qumstione (quem Auctor ipse definire non fuit ausus) ad 2580 determinant. Et ipse postmoddm Wallisius in edit. 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.

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