I have read over the printed Letters w^ch you have put into
my hands, & since Seignior l'Abby Conty |i| found means to engage me in
writing o writing part of them, & M^r Leibnitz has in his Letter to the
Madam la Comp |t|ess de Kilmansegger \pag. 34 & 35/ has told his own story at large I
give you leave to publish \also/ the [illeg] following narration at the end of what
[illeg] what I take to be matter of fact.

M^r Leibnitz was in London in the beginning of the year 1673
& being went thence to Paris in March in \in or about/ March to Paris where he |carrying Merators [sic] Logarithmotechnia along with him. At Paris he|
kept a correspondence w^th M^r Oldenburg about Arithmetical matters
till Iune being not yet acquainted with the higher Geometry. It [The
Horologium oscillatorium of M^r Huygens cam was published in April
1673 & M^r Leibnitz] but began about that time \he began/ to study it being
entred into it by M^r Huygens, & begining w^th his Horologium oscill
latorium [sic] which was published in April p[illeg] 1673. And the next
year \he/ renewed his correspondence w^th M^r Oldenburg by two letters
dated 15 Iuly & 26 Octob. representing that as the Lord Brounker &
M^r Mercator had found an infinite series of rational numbers equal
to y^e area of the Hyperbola so he had done the like for the circle
& added that by the same method the arch of a circle might be
found whose sine was given tho the proportion of \the arch to/ the whole circum
ference was not known. Thereupon M^r Oldenburg in letter dated
15 Apr. 1675 sent to him from M^r Collins several series invented
by me & Gregory one [or] two four of which were for finding the Arc
whose sine or tangent was given & the sine or tangent whose Arc
was given. And M^r Leibnitz in his Answer dated 20 May 1676 |5|.
acknowledged the receipt of this Letter. And the next year in
a Letter dated May 12 he desi[illeg] come |m|ended the two series \above mentioned/ for
finding the arc whose sine was given & the sine whose arc was
given as very ingenious especially the latter w^ch had a singular
elegance & desired M^r Oldenburg to procure from M^r Collins &
the Demonstration thereof, that is the Method of finding it.
And in recompence for the same, \he/ promised to send his own medi
tations upon the same subject, the demonstration whereof he
was then polishing for that purpose. But M^r Oldenburg & M^r
Collins wrote earnestly to me to send to my him my method
& after much sollicitation I wrote my Letter of 13 Iune 1676

M^r Gregory died in the end of the year 1675, & at
the request of M^r Leibnitz M^r Collins collected his Letters
& Papers & M^r Oldenburg sent the Collection to Paris at
the same time with my Letter. In this Collection was a Copy
of M^r a Letter of M^r Gregory to M^r Collins dated 15 Feb. 16$\frac{70}{71}$
in which the series above mentioned for finding the arc any arc of
a circle whose tangent is given. There was also a copy of my Letter
to M^r Collins dated 10 Decem. 1672 in w^ch I represented that the
method of tangents of Slusius & Gregory seemed to be the same w^th
mine & that it was but a branch or corollary of my general method
w^ch extended to the as |b|struser sorts of Problems & stuck not at surds &
w^ch I had interwoven with my method of infinite Series, meaning in a
Tract w^ch I had written upon this subject the year before viz^t A.C. 1671.
In the same Collection was also a Letter of M^r Gregory to M^r Collins
dated 5 Sept. 1670 in w^ch M^r Gregory represented that his method of