( >86 ) 
Mr. Oldenburgb the Year before, and aDemonflration thereof 
which he was now polifhing, to make the Prefenc an accep- 
table Recompence for Mr. Norton's Method. 
Upon the Receipt of this Letter Mr. Oldenburg and 
Mr. Collins wrote preffingly to Mr. Newton, defiring that he 
himfelf would deferibe his own Method, to be communicated 
to Mr- Leibnitz. Whereupon Mr. Ner ton wrote his Letter, 
dated June 13.1676, deferibing therein the Method of Series, 
as he had done before in the Compendium above-mentioned ; 
but with this Difference : Here he deferibed at large the 
Reduction of the Dignity of a Binomial into a Series, and 
only touched upon the Redudion by Divifion and Extradi- 
on of affeded Roots : There he deferibed at large the Re 
dudion of Fradions and Radicals into Series by Divifion and 
Extradion of Roots, and only fet down the two firft Terms 
of the Series into which the Dignity of a Binomial might 
be reduced. And among the Examples in this Letter, there 
were Series for finding the Number whofe Logarithm is given, 
and for finding the Verfed Sine whole Arc is given : This 
Letter was fent to Paris, June z6. 1676. together with a MS. 
drawn up by Mr. Collins, containing Extrads of Mr- James 
Gregorys Letters. 
For Mr. Gregory died near the End of the Year 1677 ' and 
Mj:. Collins , at the Requeft of Mr Leibnitz and fome other of 
the Academy of Sciences, drew up Extrads of his Letters, 
and the Colledion is Hill extant in the Hand Writing of 
Mr. Collins with this Title 3 Extratts of Mr- Gregory’/ Letters, 
to be lent to Mr. Leibnitz to perufe, who is defired to return the 
jame to you. And that they were fent is affirmed by Mr. Collins 
in his Letter to Mr. David Gregory the Brother of the Deceas’d, 
dated Augufl 11. 1676. and appears further by the Anfwers 
of Mr. Leibnt z and Mr. Tfcburnh.iufe concerning them. 
The Anfwer of Mr. Leibnitz direded to Mr Oldenlurgh and 
dated Augu/l 27.1 676, begins thus; Liter* tu£ die) ulii z,6. 
data plura ac rnemorabiliora circa ran Analylicam continent quam 
z milt a 
