PRTNTED BOOKS, ETC, BEFORE 1/34 4i 



mentions Newton, Wallis, Nieuwentiit, Carré, Leib- 

 niz, l'Hospital, de Moivre, and Hayes. 



60. John Harris also published a Lexicon Tech- 

 nìcuin, of which the second volume, London, 17 io, 

 contains an article, "Fluxions." 



" This general Method of finding the Fluxions of 

 ali Powers and Roots, I had from the Hon. Fr. 

 Robartes, Esq. If a Ouantity gradually increases 

 or decreases, its immediate Increment or Decre- 

 ment is called its Fliixion. Or the Fluxion of 

 a Quantity is its Increase or Decrease indefinitely 

 small. . . . Since xx . . . is infinitely smaller than 

 2xx^ whereby it can make no sensible Change in 

 that Quantity, it may be laid aside as of no Value. 

 . . . Authors' Nameswho have written of Fluxions: 

 D. Bernoulli Ti-actatus de Principiis Calculi Exponen- 

 tialis\ Nieuwentiifs Analysis Infinitoi-um^ Amster. , 

 1695 ; Dr. Cheyne's Fluxions^ with Moivre' s Anim- 

 adversiotis on them, and the Doctor's reply ; Hays's 

 Fluxions, Lond., 1704; Analyse des Infiniinent 

 Petits. Par l'Hospital, Fr., Paris, 1696; Le Calcule 

 Integrale, par M. Carré, Paris, 1700; Mr. Abraham 

 de Moivre's Use of Fluxions, in the Solution of 

 Geometrick Problems. See Philos. Trans., N. 216; 

 Mr. Humphry Ditton's Institution of Fluxions. " 



61. In the above list of writers are Charles 

 Hayes and Humphry Ditton, authors of English 

 texts now demanding our attention. Hayes starts 

 his elucidation of fundamentals (p. i) as follows :^ 



^ A Treafisc of F/uxions : or, An Introduction to Afathematical 

 Philosophy, Charles Hayes, London, 1704. 



