( 212 ) 
Dignities whole Indices were undetermined, fuch as were 
thefe x y -\-y* = xy, x x -f* y y — * -fy. ^ And, tliefe Equations 
he now calls Exponential, and reprcfents ro the World that 
he was the firfl: Inventor thereof, and magnifies the Inventi- 
on as a great Difcovery. But he has not yet made a publick 
Acknowledgment of the Light which Mr. Newton gave him 
intoit, -nor produced any one Inflance-of the ufe that he has 
been able to make of it where the Indices of Dignities are 
Fluents. And fince he has not yet rejected it with his ufual 
Impatience for want of fuch an Inflance, we have reafon 
<*w exped that he will at length explain its Ufefulnefs to the 
World. 
Mr. Newton in his Letter of Ofiobcn 4. i 676 wrote that 
he had two Methods of refolving the Inverfe Problems of 
Tangents, and fuch like difficult ones ; one of which con- 
filled in ajfuming a Scries for any unknown Quantity from which 
all the ref might conveniently he deduced , and in collating the 
homologous Terms of the re fulling Equation, for determining the 
Terms of the affumed Series <. Mr. Leibnitz many Years after 
publiflied this Method as his own, claiming to himfelf the 
firfl Invention thereof. It remains that he either renounce 
his Claim publickly, or prove that he invented it before 
Mr* Newton wrote his faid Letter. 
It lies upon him alfo to make a publick Acknowledgment 
of his Receipt of Mr. Oldenburgh's Letter of dfril 15. 1^75*, 
wherein feveral converging Series for fquaring of Curves, 
and/particularly that of Mr. James Gregory for finding the 
Arc by the given Tangent, and thereby fquaring the Circle, 
were communicated to him. He acknowledged it privately 
in his Letter to Mr. Oldenburg dated May 2,0. 1675 flill extant 
in his own Hand- writing, and by Mr Oldenburg left entred in 
the Letter- Book of the Roy aU Society. But he has not yet 
acknowledged it publickly, as he ought to have done w hen 
he.publifhed that Series as his own. 
