( M4 ) 
it is fit I fliould take Precautions, left any one 
iliould take it in his head afterwards to (ay, I take 
things from him which I may have had long before 
him; and therefore (hall fend you an Abftrad of 
what 1 have done in relation to this matter, fince 
the Year 1719. 
I have (o much on this Subjed by me, that I 
am at a lofs what to fend ; but at prefent I (hall 
only give you an Abftrad of thofe Propofitions, 
which I take to be more nearly related to thofe 
which this Author has offered to the Society from 
the Converfations I had with him. You know that 
in 1721, I printed (everal Sheets of a Supplement 
to my Book on the Defcription of Curve Lines, 
which I have never yet publilhed, having been en- 
gaged for the mod part in Bufinefs of a different 
nature, and in Pur (hits on other Subjects fince 
that time. I (hall firft give you an Abftrad of that 
Supplement, as far as it was then printed, and (hall 
ftibjoin to this, an Account of fome Theorems I 
added to it the following Year, viz. in 1711. I 
was led into thofe new Theorems by Mr. Robert 
Sympfons giving me at that time a Hint of the 
ingenious Paper, which has been fince publifhed in 
the Philofophical Tranfadions. I had tried in the 
Year 1719, what could be done by the Rotation of 
Angles on more than two Poles ; and had ob- 
lerved, that if the Iriterfedions of the Legs of the 
Angies were carried over Right Lines, as in Sir Ifaac 
Newton's Defcription, the Dimenfions of the Curve 
were not raifed by this fncreafe of the Number of 
Poles, Angies, and Right Lines $ and therefore neg- 
leded 
