This metadata is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Images made available for download are licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License (CC BY-NC 3.0)
This text is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
in English with some Latin
r
1 To your Apology about Writing in English I have this to adde
that we have very few Latin booksellers that trade beyond Sea
and such as doe make a more quick and profitable returne of
their Stock than to adventure it in printing of Later
Mathematiques as you well know by Experience.
2 That tis the Designe of the Royall Societie to promote
and encourage the printing of Mathemaicks and other bookes
of Art in our owne tounge.
Whereas you have given an t
of Englishmen namely of Harriot, your owne workes Mr
Newton, you may yet adde one Stone more to the t
of the fame of English
To Commend the deceased Dr Barrow for setting such a studious r Isaac Newton, and to give an tthe
most knowing Geometers have obtamed great esteeme though here
they have mett with hard fate, the booksellers that first undertooke
the same failing and what could not cost them the greatest part
of the Impression which could not cost them lesse than ss 6 d
not only please Mr Newton but likewise the Universitie of
Cambridge and possibly revive the Sale of a booke that is slow
and by consequence encourage Stationers in future undertakings
Concerning Leibnitz, you see he fell into the method of mr Mr Newtons infinite Series which himself the dr
Newton himselfe graunts, by a new method of transformation
of Curves by which the extraction of the rootes of simple
Powers in Species is avoyded, whether this was not learnt
or may r Barrows Geometrick Lectures
is the question, also the
of adfected æquations in Species by an improoved method
of Tangents, he is a most learned ingenious man, a Member
of the Society, and now lately sent for home and admitted
a Member of the Privy Councell to the of the Duke of
Hannover: to explaine his doctrine more largely than
himselfe could have leisure to doe, doubtlesse will not be
unpleasing either to himselfe or to the R. Society who may
order it to be printed the any censure for
publishing what was occasioned by his private Letters, in the
interim the Presse same Compositor is employed to pr sett
a Booke about Pallaviconos Religion of the Roman Court
recommended by your Son and now licensed as also your
English Exercises about Harriot &c which shall be sent
you sheete by sheete, and if this retards, the other to
proceed
r
I am loath to incurre your displeasure, but yet must take
liberty to tell you some things concerning your intended
Explanation of Mr Newtons Series
If have had been so minded, I could about 9 yeares since
namely at the beginning of 1669 have imparted to you a full
treatise of his
under a hard censure from the World things
come to you in private Letters without permission or consent at last *,
I seeing you therein mentioned I imparted the first Letter
to you (which I thinke if I had not I beleive you had not
seen either to this day)
In your narrative you say Mr Newton began to fall into
these methods in 1669 or 1670, whereas in the larger Letter
he tells you he seemed delighted mest
from the University in the Plague yeare in 1665, and in
1666 he writt the treatise above mentioned, all the account
you can give out of those Letters is but very slender in relation
to his performances, he intends a full treatise of Algebra s
1 for the an Introductory part he bought a translation of Introductionr
comprehends many of Huddens reductions, and those mentioned
by Dary at the end of his tract of Interest & some others
to which he r Newtondiverse things
2 A Collection of diverse Excellent discourse about bringing Problemes to an Æquation with a Collection A Problems
of diverse notable ones
3 A Treatise about the Construction of Problemes and
Æquations which I have seen, all Solid Problems are by
viz those of 4 and 3 Dimensions are solved by ayd of one Con
Sections, the description whereof is avoyded by helpe of mooveable
angles that give the severall Points of Intersection sought, other
Equations betweene the 5 and 9 degree inclusive he performes by
ayd of a Cubicall Parabola that being once described in like manner
remaines constant, and is to be intersected by a Conick Section as before the description whereof is avoyded as before &cWith
4 A Discourse concerning
considering which kinds more fitt
for Construction and Demonstration, of this the hath an
the Letters above mentioned
5 A Treatise
6 The same applyed to Dioptriques concerning r
Barrow affirmed he was so farr su was not only surprized
but others would thinke it incredible
Scotus owes debt to Aristotle, yet doth him plainer make
Therefore should he in Scots debt be, if there is no mistake
Mr Gregory having butr Newtons Series's sent
him namely that for the Zone of a Circle after some study
fell into the method, and began to be prurient about publishing
something concerning it, as being offended I did not publish
his Solution of Keplars Probleme, which I would not doe
as knowing Mr Newton's Series's were made use of therein
and yet he had a good right so to doe for he really advanced
the Doctrine, namely after a few tearmes of a Series were
attained he had approaches for attaining the Sum of a
great many more, moreover he could give a fractionate part
of some pure
to the Sum of as many tearmes therein as were desired