<367r>

Pag. 13. l. ult. After Anglois, add, You give him the Calculus Differenti
alis that he may give you the Calculus Integralis.

Pag. 15. after lin 4 add. In the year 1675 he received some of
Mr Gregories & Mr Newton series from Mr Oldenburg who had them
from Mr Collins. And the next year hearing that Mr Gregory was
dead, he wrote to Mr Oldenburg for a collection of Mr Gregories
correspondence with Mr Collins, & the same was sent him. \✝/ < insertion from f 366v > ✝ and therein was a Letter of Mr Gregory mentioning that his
method of Tangents was an improvement of Dr Barrows, & a Letter of
Mr Newton dated 10 Decem. 1672 describing the extent of his gene
ral method or Method of Fluxions & that the methods of Tangents of
Slusius & Gregory were branches of this method & that it proceeded without
taking away surds < text from f 367r resumes > He
wrote also to Mr Oldenburg to procure from Mr Collins the
Demonstration of Mr Newtons series direct & inverse, that is, for
the Method of finding them. And in October coming to London he
consulted Mr Collins to see what he could further meet with
about these Series, & then saw in his hands a good part of their
Letters about them. And can it be supposed that he would not desire
to see Mr Newtons Demonstration or Method of series wch he had
a little before desired Mr Oldenburg to procure from Mr Collins;
that is the Analysis per Æquationes numero terminorum infinitas .
At that very time he saw in the hands of Mr Collins Mr Newtons
Letter of 24 Octob. 1675 |6| as he has \lately/ acknowledged in his Letters. And
in a Paragraph of this Letter Mr Newton mentions |e|d [illeg] \the/ Compendium
of his method of Series communicated by Dr Barrow to Mr Collins
in the year 1669, wch Compendium in the Analysis above men
tioned. And can it be imagined that he could read this Paragraph
& not desire to see this Compendium. He was searching after
what he could meet with in the hands of Mr Collins cons |c|ern-
ing these series, & there saw the Commercium of Letters between
Collins Gregory & Newton as he has acknowledged. And in this
Compendium he had the Method of fluxions explained & de-
monstrated; especially if he compared this Tract wch Mr New-
tons Letters of 10 Decem 1672 & 24 Octob 1676, in both wch
this method is also described. Mais il est évident par les Lettres
de Mr Leibnitz, que ce calculus ne luy fût connu que pres
de 8 anns après after the writing of this Compendium & in
Mr Newtons Letter of 24 Octob. 1676 wch gave him notice of this Compen-
dium, he was further told that Mr Newton in the year 1671 wrote a larger
Tract on this Method, & that the series for squaring of Curves set down in that
Letter on this Method, & that the series for squaring of Curves set down in that
Letter was found by this Method. And so much of the Book of Quadratures is men
tioned in that Letter & in another written b to Mr Collins Nov. 8. 1676 as
makes it appear thi |a|t this book was invented before the writing of those
Letters. But it is evident by the Letters of Mr Leibnitz that this Calcu
lus was not known to him till about 8 years after the writing of the
Compendium. And then h He first mentioned it in his Letter to Mr Oldenburg
21 Iune 1677, & there allowed that it was known to Mr Newton & said
nothing more of it here \either in this Letter, or when he published it/ then what he had notice of in the Papers & Letters
above mentioned & in Dr Barrows Lectures, And when excepting the new examples
with which he illustrated it. And when he published it, wch was in the year
1684, he proposed it as y ou say, d'une maniere fort Enigmatiqꝫ |u|e, et fort
peu intelligible, par ce que ses penses sont naturallement confuses obscures
& ses ecrits de meme. And in this state things continued till Mr Newton's
Principia came abroad Philosophiæ came abroad. And then to improve himself
he examined a great number of Mr Newtons Propositions by this Analysis & in
the year 1689 published them in three discourses as if he himself had invented them
by this Method. And in trying to make the eleventh Proposition of the first Book of
Principles his own, adapted an erroneous Demonstration to it, not yet knowing how to
sufficiently how to work in second Differences. And all this was before you knew
any thing of the method. Apres cela Mr , je crois –