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By Todhunter, I. (Isaac)

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The line due to Bauhusius on account of its numerous arrangements seems to have attracted great attention during the following century; the discussion on the subject was finally settled 28 PASCAL. by James Bernoulli in his Ars Oonjectandi, where he thus details the history of the problem. ••. Quemadmodfun cemere est in hexametro a Bernh. Bauhusio Jesuit1 Lovaniensi in laudem Virginia Deipal'lll co~strilcto: Toe tibi BWIlt Dotes, Virgo, quot sidero c03lo ; quem dignum peculiari opera duxerunt plures Viri celebres.

With respect to Van Hudden to whom Montucla also refers we can only add that his name is mentioned with approbation by Leibnitz, in conjunction with that of John de Witt, for his researches on annuities. See Leibndtii Opera Omnia, ed. Dutens, Vol. II. part 1, page 93; Vol. VI. part 1, page 217. 59. With respect to the work of John de Witt we have some- notices in the correspondence between Leibnitz and James Bernoulli; but these notices do not literally confirm Montucla's 40 JOHN DE WITT. statement respecting Leibnitz: see Le-tbniz6'Il8 Mathematische Schriften kerausgegeben '/Jon O.

He takes the letters which compose the word M68ses. Here if there were no repetition of letters the number of permutations of the letters taken all together would be 1 x 2 x ~ x 4 x 5 x 6, that is 720; but as Wallis explains, owing to the occurrence of the letter e twice, and of the letter 8 thrice, the number 720 must be divided by 2 x 2 x 3, that is by 12. Thus the number of permutations is reduced to 60. Wallis exhibits. " The chapter closes with Wallis's attempt at determining the number of arrangements of the verse Tot tibi sunt dotes, virgo, quot sidem crelo.

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