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Franois Nicole, who was born in Paris on Dec. 23, 1683, and died there on Jan. 18, 1758, published his Traitê© du calcul des diffê©rences finies in 1717; it contains rules both for forming differences and for effecting the summation of given series. Besides this, in 1706 he wrote a work on roulettes, especially spherical epicycloids; and in 1729 and 1731 he published memoirs on Newton's essay on curves of the third degree.
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