fiS Dr. Dickfon's Reply to Mr. Clarie. 



This procefs, I fay, I took to be my own. But fince Mi. 

 Clarke lias rudely forced me to look into his obfcure book, 

 and a great number ot better ones which I never before con- 

 fulted, I find it in the table, in which, as he fays, he has 

 *' copioufly exemplified" his method ; whether intelligibly 

 or not, to beginners, whom he profefles to inllru6t, it is not 

 my prefent bidiners to inquire. 



In Air. Clarke's firfl column, marked " Variable Quanti- 

 ties/' Hands <* — = .rv , and in his fecond column marked 



••■M 2 ...V r i^x ^^ vy 



*' Fluxions, *x— > y + y •*■= - — j~«" 

 Mr. Jones, I find, flates the fame procefs, thus. 



F,-^(.vX-i-)is(.vX-^-4x.-)i^ 



y \ y J \ y >* J yy 



-2'." 

 y \ y J \ y y^ J yy ' 



And Mr. Hplliday thus: " What is the fluxion of — , or 



? — ifi, X X y — y.i ', and 2d, y X .v = xy : then 



yic — xi . „ . ^ X . I . . I 

 — the fluxion. I'or or .v X is = * X ■ — 



yy ^ y y y 



y yx — xy ,, 



yy yy 



Now, have not I as good a riglit to fay (what however, I 

 am very fur from faying) that Mr. Clarke copied from Jones 

 or Holliday, as he has to affirm, that I copied from him ? 

 And, is it not a prefumption in my favour, that I have been 

 more explicit than anv of them ; although I only offer a 

 *' fpecimen" in a nofe, and they profefs, as Mr. Clarke ex- 

 prefl'cs it, to retuler the principles of Fluxions " clear to the 

 lowefl capacity J?" 



Be this as it may, in the fame note, I mention a fecond, 

 and Hill eafier, way of doing the fame thing, in tliefe words, 



*' The fluxion of a fraction, — , may alfo be found, but not 



y 



fo elegantly, by actually dividing x 4- ^-by ;; + j." Of this, 



■* SynopHs Paimariorum Mathefcos, prinreJ in 1706, p- 219. 



+ Introdudlion to Fluxions, printed in 1777, p. 96. 



* See Mr. Clarke's Preface, p. xii. Jones and HoUidav m:ike thfi 

 f.tmc piofcifion in their title-pages and pretaces; and tin. latter appears, in 

 j^encral, to Ij.i'e fultilled it. 



■which 



