( ) 
and the Dimenfions of the LocuS of P when higheft, 
fhall be equal to the Froduft of the Numbers 
that exprefs the Dimenfions of the given Curves 
multiplied by Six. If more Poles, with the neceflary 
Angles and Curves, are affirmed betwixt C and D, 
as here D is affirmed betwixt C and S, and the 
Motions be in other refpe&s like to what they are 
in this Example ; then in order to find the Dimen- 
fions of the Locus of P when higheft, raife the 
Number 2 to a Power whofe Index is lefs than the 
Number of Poles by a Unit ; add 2 to this Power, and 
multiply the Sum by the Produd of the Numbers 
that exprefs the Dimenfions of theCurves employed 
in the Defcription ; and this laft Pro dud '(ball fhew 
the Dimenfions of the Locus of P when higheft. 
I am able to continue thefe Theorems much far- 
ther : But it is not worth while, efpecially fince I 
find that there is not any confiderable Advantage 
obtained by increafing the number of Poles above 
the Method delivered in the abovementioned Trea- 
tife of the Defcription of Curve Lines. On the 
contrary, the Defcriptions there given by means 
of two Poles, will produce a Locus of higher Di- 
menfions by the fame number of Curves and Angles, 
than thefe that require three or more Poles; and are 
therefore preferable, unlefs perhaps in fome par- 
ticular Cafes. 
VII. However, I have alfo found how to draw 
Tangents to the Curves that arife in all thefe De- 
fcriptions ; of which I fhall give one Inftanee where 
three Right Lines are fuppofed to revolve about three 
Poles, and two of their Interfedions are fuppofed 
