Add. 3977.3(3)
SrSir
I am very much obliged to you for yethe pains in transcribing
my two Letters of 1676 & much more for your kind concern of
right being done me by publishing them. I have perused your
transcripts ethe calculations & corrected some few
places wchwhich were amiss. The chief was in pag. 13 lin 29 where
was written for . Which mistake made yethe examples in yethe next page seem faulty, tho they were not so. In yethe end of yethe 20th page & beginning of yethe next, it may be convenient to print yethe words after this manner
Possum utiqꝫue cum conicis sectionibus conicis Geometrice comparare curvas omnes (numero infinities infinitas) quare ordinatim applicatæ sunt
The explications of the two sentences wchwhich wchere concealed in letters set out of order pag 13 & pag 24 maywill be best set in yethe margin. And in pag 13 over against the words [quam solertissimus Slusius ante annos duos tresve tecum coomunicavit, de qua tu (suggerente Collinio) rescripsisti eandem mihi etiam innotuisse] may be set this note in the margin this Note. Verba Collinij Hoc intellexit Newtonus ex Epistola Collinij, die 18 Junij 18 1673, ad ipsum data, cujus hæc sunt verba sunt, As to Slusius method of Tangents it was by theim well understood when puhe published his book De Mesolabio but he did not then divulge it because he would not prevent his friend Riccio who afterwards declining mathematical studies desired Slusius to divulge it, who not obteining leisure to write of it at large promised to send it to Mr Oldenburgh to publish in yethe Transactions. Before it arrived I writ to you to understand what you knew of it & having received yethe Answer, imparted it to Mr Oldenburgh to send to Slusius to let him know that it was understood in England tho perchance not so long or so soon as himself had attained it.
As to the time of my finding the method of convex series, the exactest account I can give of it is this, T the year 1664 not long before michaelemas & Christmass I read your your works & & found yethe intercalation of your series I think that winter. in the notes I then look on infinitorum I ala & obser quanties into converging series by division & extraction of roots & thereby of squaring all curves. And then (that is in yethe beginning of the year 1666) I retired from the University into Lincolnshire to avoijd the plague danger of yethe plague.
To Dr Wallis