[ 302 1 
the abfclffa BC = m / 1 + - . " W ; the ordinate 
V m + n 
BE = ?2 X ^ It. appears, that 
V + n‘‘ 
L IS — zE Qj~” 2 AE — ev = «-|- -\-?i 2 A E ! 
Thus the luhnit which I propofed^to afcertain is in- 
veftigated, m and n being any right lines whatever ! 
6 . 
1 A . 
The whole fluent of " ^ » generated 
V 4- 2 /z — 
whilft z from 0 becomes = being equal to T ; 
and the fluent of the fame fluxion (fuppoflng it to 
begin when z begins) being in general equal to 
L + AD — DP = FR — AF — dt ; it appears, 
that, k being the value of z correfponding to the 
fluent i 4 . AD — D P, wil> be the value 
of z correfponding to the fluent T -p 
and FR AF will be the part generated whilft z 
from 1 ” . ”' - 11 becomes = m. It follows therefore, 
mk nr 
that the tang, d t , together with the fluent ot 
X I 
= generated whilft z from 0 becomes 
be- 
equal tilny "quantity k, is equal to fluent oj the 
fame fluxion generated whilft % from 
I 
comes = j c p being taken n x —1 • 
Suppofc 
