( 202 ) 
Forty Years ago. The Do&or died i nOtfobcr A.C. 170;, and 
Mr. Leibnitz began not to put in this new Claim before 
January 1705. 
Mr. Newton publifhed his Treatife of Quadratures in the 
Year 1704. This Treatife was written long before, many 
things being cited out of it in his Letters of Otfob . 14. and 
Novemb. 8. 1 676. It relates to the Method of Fluxions, and 
that it might not be taken for a new Piece, Mr. Newton re- 
peated what Dr. Wallis had publilhed Nine Years before 
without being then contradicted, namely, that this Method 
was invented by Degrees in the Years 1 665- and 1666. 
Hereupon the Editors of the AttaLipfienfeain January \yo$. 
in the Style of Mr. Leibnitz, in giving an Account of this 
Book, reprefented that Mr Leibnitz* was the firft Inventor 
of the Method, and that Mr. Newton had fubftituted Fluxions 
for Differences. And this Accufation gave a Beginning to 
this prefent Controverfy. 
For Mr. Keill, in an Epiflle publifhed in the Philofophical 
Tranf actions for Sept, and Ottob. 1 708, retorted the Accufation, 
faying : Fluxionum Arithmetical^ fine omni dub to primus invenit 
D. Newtonus, ut cuzlibet ejus Epifiolas a Wallifio edit as legenti 
facile conflabit. Eadem tamen Arithmetic a pofiea mntatis nomine <jr 
notationis modo a Domino Leibnitio vzAdis Eruditorum edit a eft. 
Before Mr. Newton faw what had been publifhed in the 
Acla Leipfica , he exprefs’d himfelf offended at the printing 
of this Paragraph of Mr . Ke ill’s Letter, lead it fhould createa 
Controverfy. And Mr. Leibnitz, underflanding it in a 
ftronger Senfe than Mr. Keill intended it, complain’d of it as a 
Calumny, in a Letter to DvtSloane dated March 4. 1 71 1 N.S. 
and moved that the Royal-Society would caufe Mr. Keill to 
make a publick Recantation. Mr. Keill chofe rather to explain 
and defend what he had written ; and Mr. Newton , upon be- 
ing fliewed the Accufation in the Acla Lipfica , gave him leave 
to do fo. And Mr. Leibnitz in a fecond Letter to Dr. Sloane, 
dated Decern. 29. 17 if, inftead of making good his Accu- 
. ' fation 
