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Tranfaftions, in the manner I at flrfl tranfcribed 
them ; although, I am aware, they might have been 
put into a form more pleafing to the generality of 
readers : I have indeed annexed larger diagrams 
than what accompanied the author’s copy, in order 
to render the lines more diftindt, as all the relations 
are to be reprefented in a fingle figure, of each 
kind. 
T 
Mr. Jones, having laid down a very fimpk method 
of defcribing thel'e curves, feems to have been de- 
■firous of arriving at their properties in as expeditious 
a way as he could contrive ; and therefore he has 
-ufed the algebraic method, in general, of reducing 
his equations} and, on fome occafions, has ufed the 
method of fluxions, to deduce fome properties chiefly 
relating to the tangents; and, by a judicious ufe of 
thefe, he has very much abridged the fleps which 
otherwife he muff have taken, to have deduced the 
very great variety of relations he has obtained : thde 
he intended to have arranged in tables, from whence 
an equation exprefiingthe relation between any three 
or more lines of the Conic Sections, might be taken 
out as readily as a logarithm out of their tables ; this 
he has only partly executed ; but it may eafily be 
continued by thofe who are defirous to have it done, 
and are fufliciently acquainted with what follows. 
From the Houfe of the Royal Society, 
April 29, 177.3. 
The 
