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in English
Oct. 26. 1676
r
Two dayes since I sent you an answere to Mr. Leibnitius excellent letter
after it was gone running my eyes over a transcript that I had made
to be taken of it I found some things ch
and I since I cannot now do it my self I desire you would doe it for
me (those things are amended in this transcript.)
I feare I have been something too severe in taking notice of
some oversights in Mr. Leibnitius letter considering the goodness and
ingenuity of the Author and that it might have beene my owne fate
in writing hastily to have committed the like oversights, but
being I think real oversights I suppose he cannot be offended at it
if you think any thing be expressed too severely pray give me notice of
it and I will endeavour to mollify it unless you will doe for with a
word or two of your owne I beleive Mr. Leibnitius will not dislike th
Theoreme towards the beginning of my letter (pag 5) for squaring curve
lines Geometrically Sometime when I have more leisure
may send him a fuller account of it explaining how it is to be ordered
for comparing curvilinear lines figures with one another and how the
simplest figure is to be found with which a compounded curve may
be compared Some other things in Mr. Leibnitius letter I once thought
to have togyou upon as the resolution of affected æquations
and the impossibility of a geometricall Quadrature of the circle in
which Mr Gregory seemes to have tripped
whole numbers which Mr. y easy
methode one from an other is conteined in that one æquation ch
in the third section of the problems in
angle in a given ratio and in another æquation like that also the
coefficients of those æquations may be all obteined by this progression