112 LIMITS AND FLUXIONS 



some attacks against Berkeley, To set forth the 

 views of Newton, quotations are made from his 

 Works, He quotes from the Introduction to the 

 Quadratura Cuì^ai-um (see our §§ 27-42). From 

 the Quadratura Cuì-varum itself he quotes: 



*' Quantitates indeterminatas, ut motu perpetuo 

 crescentes vel decrescentes, id est, ut fluentes vel 

 defluentes, in sequentibus considero, designoque 

 literis z, j'y X, v, et earum fluxiones, seu celeritates 

 crescendi noto iisdem Hteris punctatis. Sunt et 

 harum fluxionum fluxiones, sive mutationes magis 

 aut minus celeres, quas ipsarum ^, j, ;r, v fluxiones 

 secundas nominare licet," etc. 



Robins quotes also from the anonymous account 

 of John ColHns's Commerdum Epistolicum, which 

 figures so prominently in the controversy between 

 the foUowers of Newton and of Leibniz. This 

 account was published in the Philosophical Tì'ans- 

 actions, voi. xxix, for the years 17 14, 1715, 17 16, 

 of the Royal Society of London, of which Robins 

 was a member.' Robins goes on the assumption 

 that the anonymous article was written by Newton 

 himself, an assumption denied by no one at that 

 time or since, though Jurin in a reply wants to 

 know on what authority Newton's authorship is 

 asserted. Robins quotes as follows (see our § 47): 



*'When he [Newton] considers lines as fluents 

 described by points, whose velocities increase or 

 decrease, the velocities are the first fluxions, and 

 their increase the second. " 



129. Robins says that Berkeley, '*for the support 



